commit b7b704b68ba63d7958927ddd9b5bef232573f8d9 Author: Diogo Cordeiro Date: Wed Aug 28 16:44:59 2019 +0100 Solutions for FCUP's Numerical Analysis Assignments diff --git a/1 - Numerical Series Approximation/LICENSE b/1 - Numerical Series Approximation/LICENSE new file mode 100644 index 0000000..f288702 --- /dev/null +++ b/1 - Numerical Series Approximation/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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But first, please read +. diff --git a/1 - Numerical Series Approximation/README.md b/1 - Numerical Series Approximation/README.md new file mode 100644 index 0000000..b76b3e0 --- /dev/null +++ b/1 - Numerical Series Approximation/README.md @@ -0,0 +1,256 @@ +--- +title: "Análise Numérica - Trabalho Prático 1" +author: +- Diogo Cordeiro +- Hugo Sales +- Pedro Costa +geometry: margin=2cm +output: pdf_document +--- + +## Motivação + +Perceber e analisar técnicas de aproximação de séries numéricas e estratégias +para controlo do erro de cálculos em computador, assim como implementar +algoritmos com recurso a métodos numéricos adequados e interpretar os resultados. + +## Questão 1 + +O _eps_ está definido como a diferença entre 1.0 e o menor valor +representável superior a um, por exemplo, 2^-23^, em precisão simples, e 2^-52^ +em precisão dupla (em ambos os casos $Base^{-(precisão-1)}$). O ISO 9899 C define: + + "a diferença entre 1 e o menor valor superior a 1 que é + representável num dado tipo de ponto flutuante" + +Verificamos a existência de uma definição alternativa: "o menor número que +somado com 1 resulta num número maior do que 1". Não usamos esta definição, uma +vez que devido ao arredondamento para o valor mais próximo, bastaria usar um +valor ligeiramente maior do que metade do nosso _eps_ para satisfazer +a condição. E também porque os standards ISO +optam por "passo entre valores adjacentes". + +O código seguinte implementa o cálculo de + +$$ (2 - \sum _{n=1}^{\infty}\:\frac{1}{2^n}) - 1 = \textit{eps} $$ + +onde + +$$ \lim _{n\to \infty }\sum _{n=1}^{\infty}\:\frac{1}{2^n} = 1^{-} $$ + +Logo este cálculo converge para 1 por números superiores. + +\pagebreak + + double machine_eps() { + // Pela definição, este valor tem que ser superior a 1, e + // como a máquina usa um sistema de vírgula flutuante de base 2, + // este tem que ser uma potência de 2 + double epsilon_candidate = 2.0, + epsilon = epsilon_candidate, + // Primeiro termo da série geométrica com proporção 1/2, + // que converge para 1 + power = 2.0; + + // Diferente de 1 pela definição + while (epsilon_candidate != 1.0) { + epsilon = epsilon_candidate; + // Aproximar o epsilon candidate do epsilon, + // reduzindo este com a acumulação do termo da sucessão + epsilon_candidate -= 1/power; + // Razão da sucessão + power *= 2; + } + + return epsilon-1.0; + } + +Com a execução deste código obtivemos 2.2204460492503131e-16, o mesmo valor +definido, para aritmética IEEE, na C library `float.h`. + + #define DBL_EPSILON 2.2204460492503131e-16 + +## Questão 2 + +Utilizamos o seguinte código na linguagem Java para computar a série dada e +obtivemos os resultados apresentados na tabela que segue. +Para evitar o cálculo de fatoriais e de grande magnitude, o que diminuiria a +performace e aumentaria o erro e a possibilidade de overflow, +optamos usar a definição por recorrência e por simplificar algebricamente o +cálculo dos termos da série, obtendo uma expressão mais simples. + +$$a_{k+1} = a_k \cdot \frac{k + 1}{4 \cdot k + 6}$$ + + /** + * Computar a série 2 com um erro absoluto inferior a um dado + * epsilon + */ + public static double compute_series_2(double epsilon) { + // Fator constante + double factor = 9.0/(double)(2.0*Math.sqrt(3)); + // Tirado do critério D'Alembert para L = 0.5 < 1 + double super_L = 1.0/(double)(1-0.25); + + // Index do sumatório + int k = 0; + // Acumulação do sumatório + double acc = 0; + + // O valor do termo actual da série + double a = 1.0f; // a with k = 0 + // Enquanto o nosso erro absoluto é superior ao + // epsilon dado + while(epsilon < factor*a*super_L) { + // Acumula com o termo anterior + acc += a; + // Computa o termo seguinte e posteriormente + // incrementa k + a = compute_serie_2_term(k++) * a; + } + System.out.println(factor*acc + " " + (k - 1)); + } + + /** + * Computa o termo k da série 2 dado um anterior + */ + public static double compute_serie_2_term(int k) { + return (double)(k+1.0f)/(double)(4.0f*k+6.0f); + } + +### Tabela de resultados + +$-log(\epsilon)$ | $S_n$ | Iterações | Tempo (s) +-----------------|---------------------|-------------|---------- +8 | 3.141592651 | 13 | 0.094 +9 | 3.1415926529 | 14 | 0.099 +10 | 3.14159265355 | 16 | 0.100 +11 | 3.141592653587 | 18 | 0.100 +12 | 3.1415926535892 | 19 | 0.095 +13 | 3.14159265358976 | 21 | 0.101 +14 | 3.141592653589785 | 22 | 0.097 +15 | 3.1415926535897936 | 24 | 0.097 + + +A série aparenta aproximar o valor de $\pi$. + +Reparamos que geralmente a ordem de grandeza do erro indica o número de casas +decimais exatas obtidas, contudo o valor obtido para $-log(\epsilon)$ igual a +9 e 14 produz um resultado com menos uma casa decimal exata. Ainda assim +o valor apresentado representa $\pi$ com erro absoluto inferior a +$5 \cdot 10^{-10}$ e $5 \cdot 10^{-15}$ respetivamente. + +## Questão 3 + +Inicialmente implementamos o cálculo do valor aproximado desta série em Java, +mas deparamo-nos com um longo tempo de execução devido ao elevado número de +iterações necessárias para aproximar a série com o $\epsilon$ pretendido, pelo +que decidimos testar uma implementação na linguagem C++, na qual obtivemos maior +performace, o que permitiu o cãlculo para um valor menor de $\epsilon$ em tempo +útil. + + double compute_serie_3_term(unsigned long n) { + return -((double)(2*n+1))/(double)(2*n+3); + } + + void compute_serie_3(double err) { + // Termo atual + unsigned long k = 0; + // Valor do termo atual + double ak = 1; + // Acumulador do valor da série + double acc = 1; + // Parar quando o erro obtido for inferior ao pretendido + while (err < 4*std::abs(ak)) { + // Calcular o termo seguinte e incrementar k + ak = compute_serie_3_term(k++) * ak; + // Somar o termo ao total + acc += ak; + } + + std::cout << k << " " << 4*acc << '\n'; + } + +### Tabela de Resultados em Java + +$-log(\epsilon)$ | $S_n$ | Iterações | Tempo (s) +-----------------|---------------|-------------|----------- +8 | 3.141592659 | 200000000 | 2.237 +9 | 3.1415926541 | 2000000000 | 21.522 +10 | 3.14159265364 | 20000000012 | 215.442 + + +### Tabela de Resultados em C++ + +$-log(\epsilon)$ | $S_n$ | Iterações | Tempo (s) +------------------|--------------------|----------------|---------- +8 | 3.141592659 | 200000000 | 0.787 +9 | 3.1415926541 | 2000000000 | 7.862 +10 | 3.14159265364 | 20000000012 | 79.130 +11 | 3.141592653593 | 200000002870 | 791.625 +12 | 3.1415926535878 | 2000000614027 | 7871.842 + +Observando as tabelas notamos um padrão, e, motivados por establecer uma relação +entre $\epsilon$ e tanto o números de iterações e o tempo de execução, decidimos +traçar um gráfico com estes valores. + +![Tempo em função de $\epsilon$](graficos/questao3_tempos.png){ width=12cm } + +![Iterações em função de $\epsilon$](graficos/questao3_iteracoes.png){ width=12cm } + +\pagebreak + +Destes dois gráficos concluímos que o tempo cresce exponencialmente em função do +valor de $-log(\epsilon)$, sendo que ambos crescem com um fator de 10, +correspondendo aproximadamente a um número da forma $5*10^{-(\epsilon + 1)}$, mas +não exatamente a este valor, sendo que quando $\epsilon$ diminuiu, o valor +de $n$ afasta-se do valor $5*10^{-(\epsilon + 1)}$. +Descobrimos que se utilizarmos mais precisão nos cálculos (nomeadamente através +do uso de `long double` em C++, ou seja, 128 bits), o padrão verifica-se para +todos os casos testados. +Concluímos disto que este desvio se deve ao erro de +arredondamento ($|S_n - \hat{S}_n|$), que neste caso se deve à elevada magnitude +de $n$. + +## Questão 4 + +Usamos como referência + +$$ \pi = 3.14159265358979324$$ + +sendo este valor arredondado a 18 algarismos significativos, para que o erro de +arredondamento aqui utilizado não altere os resultados do cálculo do erro +absoluto efetivo. + +Erro efetivo obtido na questão 2: + +$-log(\epsilon)$ | $\Delta x$ +-----------------|--------------------- +8 | $2.6 \cdot 10^{-09}$ +9 | $6.9 \cdot 10^{-10}$ +10 | $4.0 \cdot 10^{-11}$ +11 | $2.8 \cdot 10^{-12}$ +12 | $6.0 \cdot 10^{-13}$ +13 | $3.4 \cdot 10^{-14}$ +14 | $8.0 \cdot 10^{-15}$ +15 | $4.5 \cdot 10^{-16}$ + +Erro efetivo obtido na questão 3: + +$-log(\epsilon)$ | $\delta x$ +-----------------|--------------------- +8 | $5.5 \cdot 10^{-09}$ +9 | $5.2 \cdot 10^{-10}$ +10 | $5.1 \cdot 10^{-11}$ +11 | $3.3 \cdot 10^{-12}$ +12 | $2.0 \cdot 10^{-12}$ + +Notamos que para $\epsilon = 10^{-12}$ o erro efetivamente cometido é maior que +o erro pretendido. Justificamos este facto com a elevada magnitude de $n$, o que +leva a termos de pequena magnitude, o que induz erros de cancelamento. + +Concluímos que a série utilizada na questão dois possibilita o cálculo da +aproximação do valor de $\pi$ usando um número de termos muito menor, para uma +mesma precisão. Sendo que a série da questão dois dá resultados +com erro inferior a $10^{-15}$ com um número de iterações na ordem das dezenas, +enquanto que a série da questão três requer iterações na ordem das centenas de +milhões para obter um erro inferior a $10^{-8}$. diff --git a/1 - Numerical Series Approximation/assignment.pdf b/1 - Numerical Series Approximation/assignment.pdf new file mode 100644 index 0000000..ef93b57 Binary files /dev/null and b/1 - Numerical Series Approximation/assignment.pdf differ diff --git a/1 - Numerical Series Approximation/graficos/erro.cpp b/1 - Numerical Series Approximation/graficos/erro.cpp new file mode 100644 index 0000000..e257958 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/erro.cpp @@ -0,0 +1,18 @@ +#include +#include + +int main() { + double vals[] = { 3.1415926029605323, + 3.1415926506432696, + 3.1415926528764806, + 3.1415926535477534, + 3.1415926535795631, + 3.1415926535891852, + 3.1415926535897571, + 3.1415926535897851}; + + std::cout.precision(17); + for(double v : vals) { + std::cout << std::abs(3.14159265358979324 - v); + } +} diff --git a/1 - Numerical Series Approximation/graficos/erro2.cpp b/1 - Numerical Series Approximation/graficos/erro2.cpp new file mode 100644 index 0000000..8c9cc6b --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/erro2.cpp @@ -0,0 +1,173 @@ +#include +#include + +int main() { + + // double vals[] = { 3.1415926029605323, + // 3.1415926506432696, + // 3.1415926528764806, + // 3.1415926535477534, + // 3.1415926535795631, + // 3.1415926535891852, + // 3.1415926535897571, + // 3.1415926535897851}; + + double vals[] = { + + // 3.1415925645296694, + // 3.1415926484100587, + // 3.1415926523361879, + // 3.1415926535159437, + // 3.1415926535718257, + // 3.1415926535887251, + // 3.1415926535897296, + // 3.1415926535897780 + + // 1.2091995566689335, + // 1.2091995750220277 + // , + // 1.209199575881591 + // , + // 1.2091995761399641 + // , + // 1.2091995761522076 + // , + // 1.2091995761559111 + // , + // 1.2091995761561314, + // 1.209199576156142 + + // 3.1415926413913953, + // 3.1415926506432696, + // 3.1415926534167733, + // 3.1415926535795631, + // 3.1415926535873004, + // 3.1415926535896448, + // 3.1415926535897571, + // 3.1415926535897918 + + + // 3.1415926436246062, + // 3.1415926511835623, + // 3.141592653448583, + // 3.1415926535814478, + // 3.1415926535877601, + // 3.1415926535896723, + // 3.1415926535897643, + // 3.1415926535897927 + + // 3.1415926441636568 + // , + // 3.1415926513142782 + // , + // 3.1415926534563079 + // , + // 3.141592653581907 + // , + // 3.141592653587872 + // , + // 3.1415926535896794 + // , + // 3.141592653589766 + // , + // 3.1415926535897927 + + + + // 3.1415926413913944 + // , + // 3.1415926506432688 + // , + // 3.1415926534167729 + // , + // 3.1415926535795626 + // , + // 3.1415926535873 + // , + // 3.1415926535896443 + // , + // 3.1415926535897567 + // , + // 3.1415926535897909 + + // 3.1415926413913948 + // , + // 3.1415926506432692 + // , + // 3.1415926534167732 + // , + // 3.1415926535795628 + // , + // 3.1415926535873003 + // , + // 3.1415926535896447 + // , + // 3.141592653589757 + // , + // 3.1415926535897911 + + // 3.1415926413913948 + // , + // 3.1415926506432692 + // , + // 3.1415926534167733 + // , + // 3.1415926535795628 + // , + // 3.1415926535873003 + // , + // 3.1415926535896447 + // , + // 3.141592653589757 + // , + // 3.1415926535897911 + + // 3.1415926413913948 + // , + // 3.1415926506432692 + // , + // 3.1415926534167733 + // , + // 3.1415926535795628 + // , + // 3.1415926535873003 + // , + // 3.1415926535896447 + // , + // 3.141592653589757 + // , + // 3.1415926535897911 + + // 3.1415926585894502, + // 3.1415926540880963, + // 3.1415926536384982, + // 3.1415926535932850, + // 3.1415926535877814 + + + // 3.1415926506432696, + // 3.1415926528764806, + // 3.1415926535477534, + // 3.1415926535873004, + // 3.1415926535891850, + // 3.1415926535897570, + // 3.1415926535897850, + // 3.1415926535897936 + + 3.141592651 , + 3.1415926529 , + 3.14159265355 , + 3.141592653587 , + 3.1415926535892 , + 3.14159265358976 , + 3.141592653589785, + 3.1415926535897936 + + }; + + + std::cout.precision(17); + for(double v : vals) { + std::cout << std::abs(3.14159265358979324 - v) << '\n'; + } +} diff --git a/1 - Numerical Series Approximation/graficos/erro3.cpp b/1 - Numerical Series Approximation/graficos/erro3.cpp new file mode 100644 index 0000000..ec91684 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/erro3.cpp @@ -0,0 +1,30 @@ +#include +#include + +int main() { + double vals[] = { + + // 3.1415926335902893, + // 3.1415926515893244, + // 3.1415926533883067, + // 3.1415926535683196, + // 3.1415926535862631 + + // 3.1415926585894502, + // 3.1415926540880963, + // 3.1415926536384982, + // 3.1415926535932850, + // 3.1415926535877814 + + 3.141592659 , + 3.1415926541 , + 3.14159265364 , + 3.141592653593, + 3.1415926535878 + }; + + std::cout.precision(17); + for(double v : vals) { + std::cout << std::abs(3.14159265358979324 - v) << '\n'; + } +} diff --git a/1 - Numerical Series Approximation/graficos/generate_graphics.gnuplot b/1 - Numerical Series Approximation/graficos/generate_graphics.gnuplot new file mode 100755 index 0000000..d6fccc7 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/generate_graphics.gnuplot @@ -0,0 +1,23 @@ +#!/usr/bin/gnuplot +set output "questao3_tempos.png"; +set terminal png size 1200,900 enhanced font "Helvetica,20" +set autoscale; +set xr [7:13]; +set logscale y; +set xlabel "-log(epsilon)" +set ylabel "Tempo (s)" +set linetype 1 lc rgb 'black' +set linetype 2 lc rgb 'black +plot "../questao3_tempo_java.txt" with linespoints dashtype 0 lw 4 t "Java", "../questao3_tempo_Cpp.txt" with linespoints dashtype 2 lw 4 t "C++"; + +set output "questao3_iteracoes.png"; +set terminal png size 1200,900 enhanced font "Helvetica,20" +set autoscale; +set xr [7:13]; +set logscale y; +set xlabel "-log(epsilon)" +set ylabel "Iterações" +set linetype 1 lc rgb 'black' +set linetype 2 lc rgb 'black +plot "../questao3_iteracoes_java.txt" with linespoints dashtype 0 lw 4 t "Java", "../questao3_iteracoes_Cpp.txt" with linespoints dashtype 2 lw 4 t "C++"; + diff --git a/1 - Numerical Series Approximation/graficos/questao3_iteracoes.png b/1 - Numerical Series Approximation/graficos/questao3_iteracoes.png new file mode 100644 index 0000000..d447795 Binary files /dev/null and b/1 - Numerical Series Approximation/graficos/questao3_iteracoes.png differ diff --git a/1 - Numerical Series Approximation/graficos/questao3_iteracoes_Cpp.txt b/1 - Numerical Series Approximation/graficos/questao3_iteracoes_Cpp.txt new file mode 100644 index 0000000..a1e28b7 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/questao3_iteracoes_Cpp.txt @@ -0,0 +1,5 @@ +8 200000000 +9 2000000000 +10 20000000012 +11 200000002870 +12 2000000614027 diff --git a/1 - Numerical Series Approximation/graficos/questao3_iteracoes_java.txt b/1 - Numerical Series Approximation/graficos/questao3_iteracoes_java.txt new file mode 100644 index 0000000..d2b2483 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/questao3_iteracoes_java.txt @@ -0,0 +1,3 @@ +8 200000000 +9 2000000000 +10 20000000012 diff --git a/1 - Numerical Series Approximation/graficos/questao3_tempo_Cpp.txt b/1 - Numerical Series Approximation/graficos/questao3_tempo_Cpp.txt new file mode 100644 index 0000000..8c1ee81 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/questao3_tempo_Cpp.txt @@ -0,0 +1,5 @@ +8 0.787 +9 7.862 +10 79.130 +11 791.625 +12 7871.842 diff --git a/1 - Numerical Series Approximation/graficos/questao3_tempo_java.txt b/1 - Numerical Series Approximation/graficos/questao3_tempo_java.txt new file mode 100644 index 0000000..8cd6c0e --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/questao3_tempo_java.txt @@ -0,0 +1,3 @@ +8 2.237 +9 21.522 +10 215.442 diff --git a/1 - Numerical Series Approximation/graficos/questao3_tempos.png b/1 - Numerical Series Approximation/graficos/questao3_tempos.png new file mode 100644 index 0000000..3092f3f Binary files /dev/null and b/1 - Numerical Series Approximation/graficos/questao3_tempos.png differ diff --git a/1 - Numerical Series Approximation/graficos/questao4_erro3.txt b/1 - Numerical Series Approximation/graficos/questao4_erro3.txt new file mode 100644 index 0000000..226c8f5 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/questao4_erro3.txt @@ -0,0 +1,10 @@ +8 200000000 3.1415926585894502 0.787 +9 2000000000 3.1415926540880963 7.862 +10 20000000012 3.1415926536384982 79.130 +11 200000002870 3.141592653593285 791.625 +12 2000000614027 3.1415926535877814 7908.842 + + +14 + +[0.787] \ No newline at end of file diff --git a/1 - Numerical Series Approximation/graficos/scratch b/1 - Numerical Series Approximation/graficos/scratch new file mode 100644 index 0000000..a994475 --- /dev/null +++ b/1 - Numerical Series Approximation/graficos/scratch @@ -0,0 +1,45 @@ +8 | 3.1415926029605323 | 12 | 0m0.002s +9 | 3.1415926506432696 | 14 | 0m0.002s +10 | 3.1415926528764806 | 15 | 0m0.002s +11 | 3.1415926535477534 | 17 | 0m0.002s +12 | 3.1415926535795631 | 18 | 0m0.002s +13 | 3.1415926535891852 | 20 | 0m0.002s +14 | 3.1415926535897571 | 22 | 0m0.002s +15 | 3.1415926535897851 | 23 | 0m0.001s + + +8 | 3.1415926335902893 | 50000000 |0m0.200s +9 | 3.1415926515893244 | 500000000 |0m1.979s +10 | 3.1415926533883067 | 5000000000 |0m19.783s +11 | 3.1415926535683196 | 50000000086 |3m18.003s +12 | ^C | 1m10.621s | 0m0.000s + + +8 | 50000000 | 3.1415926335902893 | 0.553s +9 | 500000000 | 3.1415926515893244 | 4.608s +10 | 5000000000 | 3.1415926533883067 | 45.069s +11 | 50000000086 | | 450.325s + +3.1415926535683196 +3.14159265358979324 (arredondado a 18 algorismos significativos, para que o erro de arredondamento aqui utilizado não altere os resultados do cálculo do erro absoluto efetivo) + + +8 | 3.1415926029605323 | 12 | 0m0.002s +9 | 3.1415926506432696 | 14 | 0m0.002s +10 | 3.1415926528764806 | 15 | 0m0.002s +11 | 3.1415926535477534 | 17 | 0m0.002s +12 | 3.1415926535795631 | 18 | 0m0.002s +13 | 3.1415926535891852 | 20 | 0m0.002s +14 | 3.1415926535897571 | 22 | 0m0.002s +15 | 3.1415926535897851 | 23 | 0m0.002s + + + +8 | 3.1415926122124067 | 12 | 0m0.002s +9 | 3.1415926511835623 | 14 | 0m0.002s +10 | 3.1415926530074607 | 15 | 0m0.001s +11 | 3.1415926535554908 | 17 | 0m0.002s +12 | 3.1415926535814478 | 18 | 0m0.001s +13 | 3.1415926535892975 | 20 | 0m0.002s +14 | 3.1415926535897643 | 22 | 0m0.002s +15 | 3.1415926535897869 | 23 | 0m0.002s diff --git a/1 - Numerical Series Approximation/print.pdf b/1 - Numerical Series Approximation/print.pdf new file mode 100644 index 0000000..66c5ce8 Binary files /dev/null and b/1 - Numerical Series Approximation/print.pdf differ diff --git a/1 - Numerical Series Approximation/source/Question1.cpp b/1 - Numerical Series Approximation/source/Question1.cpp new file mode 100644 index 0000000..3ac2e24 --- /dev/null +++ b/1 - Numerical Series Approximation/source/Question1.cpp @@ -0,0 +1,27 @@ +#include + +double machine_eps() { + double epsilon_candidate = 2.0, + epsilon = epsilon_candidate, + power = 2.0; + + while (epsilon_candidate != 1.0) + { + epsilon = epsilon_candidate; + epsilon_candidate -= 1/power; + power *= 2; + } + + return epsilon-1.0; +} + +int main() { + std::cout.precision(17); + + std::cout << machine_eps() << " - macheps" << '\n'; + + /*for(double step = 0.0f; step < 100'000'000; step += 1.0) + { + std::cout << step << " " << machine_eps(step) << '\n'; + }*/ +} diff --git a/1 - Numerical Series Approximation/source/Question1wrong.cpp b/1 - Numerical Series Approximation/source/Question1wrong.cpp new file mode 100644 index 0000000..cdeda2f --- /dev/null +++ b/1 - Numerical Series Approximation/source/Question1wrong.cpp @@ -0,0 +1,22 @@ +#include + +double +machine_eps(double start) +{ + double epsilon = 1.0f; + + while ((start + 0.5f * epsilon) != start) + { + epsilon = 0.5f * epsilon; + } + + return epsilon; +} + +int +main() +{ + std::cout.precision(17); + + std::cout << machine_eps(1) << " - macheps" << '\n'; +} diff --git a/1 - Numerical Series Approximation/source/Question2.cpp b/1 - Numerical Series Approximation/source/Question2.cpp new file mode 100644 index 0000000..f70f218 --- /dev/null +++ b/1 - Numerical Series Approximation/source/Question2.cpp @@ -0,0 +1,56 @@ +#include +#include +#include + + +/** + * Compute k term of Serie 2 given the previous one + */ +double _compute_serie_2_term(unsigned long k, double ak) { + return double(k+1)/(double(4*k+6)) * ak; +} + +// double c(int k) { +// return std::pow(std::tgamma(k + 1), 2.0)/std::tgamma(2*k + 2); +// } + +/** + * Compute serie 2 with absole error below a given epsilon + */ +void compute_serie_2(double epsilon) { + // Constant factor + double factor = 9.0/(2.0*std::sqrt(3)); + // Taken from D'Alembert criterion for given that L = 0.5 < 1 + double super_L = 1.0/(1.0-0.25); + + // Summation index + unsigned long k = 0; + // Acumulation for the Summation + double acc = 0; + + // Previous and current value on the series + // double a_prev = 1.0f, // a with k = 0 + double a = 1.0; // _compute_serie_2_term(k, a_prev); // compute next + // While our absolute error is higher than the given epsilon + while(epsilon < factor*a*super_L) { + // Accumulate with previous term + + acc += a; + // Update previous term to current term + // a_prev = a; + // Compute current term + // a = c(k); + a = _compute_serie_2_term(k++, a); + } + + std::cout << k << " " << std::abs(M_PI - factor*acc) << '\n'; + std::cout << factor * acc << " | " << k; +} + + + +int main(int, char **argv) { + std::cout.precision(17); + double power_of_ten = std::pow(10.0, -std::atoi(argv[1])); + compute_serie_2(power_of_ten); +} diff --git a/1 - Numerical Series Approximation/source/Question3.cpp b/1 - Numerical Series Approximation/source/Question3.cpp new file mode 100644 index 0000000..4ea052b --- /dev/null +++ b/1 - Numerical Series Approximation/source/Question3.cpp @@ -0,0 +1,31 @@ +#include +#include +#include +#include +#include + +double compute_serie_3_term(unsigned long n) { + return -((double)(2*n+1))/(double)(2*n+3); +} + +double compute_serie_3(double err) { + + unsigned long k = 0; + double ak = 1; + double acc = 1; + + while (err < 4*std::abs(ak)) { + ak *= compute_serie_3_term(k++); + acc += ak; + } + + std::cout << k << " " << 4*acc << " " << std::abs(3.14159265358979324$$ - 4*acc) << '\n'; + return 4*acc; +} + + +int main(int, char **argv) { + const double err = std::pow(10.0, -std::atof(argv[1])); + std::cout.precision(17); + compute_serie_3(err); +} diff --git a/1 - Numerical Series Approximation/source/java for speed comparison/Question1.java b/1 - Numerical Series Approximation/source/java for speed comparison/Question1.java new file mode 100644 index 0000000..6c90b3c --- /dev/null +++ b/1 - Numerical Series Approximation/source/java for speed comparison/Question1.java @@ -0,0 +1,16 @@ +public class Question1 { + + public static void main(String args[]) { + System.out.println(machine_eps()); + } + + public static float machine_eps() { + float epsilon = 1.0f; + + while ((1.0f + 0.5f * epsilon) != 1.0f){ + epsilon = 0.5f * epsilon; + } + + return epsilon; + } +} diff --git a/1 - Numerical Series Approximation/source/java for speed comparison/Question2.java b/1 - Numerical Series Approximation/source/java for speed comparison/Question2.java new file mode 100644 index 0000000..2ce7143 --- /dev/null +++ b/1 - Numerical Series Approximation/source/java for speed comparison/Question2.java @@ -0,0 +1,49 @@ +public class Question2 { + + public static void main(String[] args) { + double power_of_ten = Math.pow(10,-1 * Integer.parseInt(args[0])); + compute_serie_2(power_of_ten); + } + + /** + * Compute serie 2 with absole error below a given epsilon + */ + public static void + compute_serie_2(double epsilon) + { + // Constant factor + double factor = 9.0f/(double)(2.0f*Math.sqrt(3)); + // Taken from D'Alembert criterion for given that L = 0.5 < 1 + double super_L = 1.0f/(double)(1-0.25); + + // Summation index + int k = 0; + // Acumulation for the Summation + double acc = 0; + + // Previous and current value on the series + double a = 1.0f; // a with k = 0 + // While our absolute error is higher than the given epsilon + while(epsilon < factor*a*super_L) + { + // Accumulate with previous term + acc += a; + // Compute current term + a = _compute_serie_2_term(k++) * a; + } + // System.out.println(epsilon); + // System.out.println("Value: " + factor*acc); + // System.out.println("Error: " + (3.1415926535897932 - factor*acc)); + // System.out.println("K: " +(k-1) + "\n--------------"); + System.out.println(factor*acc + " " + (k - 1)); + } + + /** + * Compute k term of Serie 2 given the previous one + */ + public static double + _compute_serie_2_term(int k) + { + return (double)(k+1.0f)/(double)(4.0f*k+6.0f); + } +} diff --git a/1 - Numerical Series Approximation/source/java for speed comparison/Question3.java b/1 - Numerical Series Approximation/source/java for speed comparison/Question3.java new file mode 100644 index 0000000..9fe03b6 --- /dev/null +++ b/1 - Numerical Series Approximation/source/java for speed comparison/Question3.java @@ -0,0 +1,28 @@ +public class Question3 { + + public static void main(String[] args) { + double err = Math.pow(10, -Integer.parseInt(args[0].trim())); + compute_serie_2(err); + } + + public static double compute_serie_3_term(long n) + { + return -((double)(2*n+1))/(double)(2*n+3); + } + + public static void compute_serie_2(double err) + { + long k = 0; + double ak = 1; + double acc = 1; + + while (err < 4 * Math.abs(ak)) { + ak = compute_serie_3_term(k++) * ak; + acc += ak; + } + + System.out.println(k + " " + 4 * acc); + } + +} + diff --git a/2 - 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Deste modo, foi-nos possível implementar os dois métodos pedidos partindo +de um algoritmo genérico pois a diferença entre o método de Newton +e o método iterativo consiste apenas na fórmula de recorrência. Assim, o método de Newton +pode ser visto como uma forma do método iterativo simples. + + template + double find_root(double x0, double epsilon, step_func step, long iter_limit) { + double x1 = x0, err; + long iter = 1; + do { + x0 = x1; + x1 = step(x0); + err = std::abs(x1 - x0); + } while(err > epsilon && iter++ < iter_limit); + return x1; + } + + template + double newton(double x0, double epsilon, F_t F, dF_t dF, long iter_limit) { + return find_root(x0, epsilon, + [&F, &dF](double x0){ return x0 - F(x0)/dF(x0); }, + iter_limit); + } + + int main() { + auto F = [](double x){ return std::pow(x, 2.0) - std::pow(std::cos(x), 2.0); }; + auto dF = [](double x){ return 2.0 * x + std::sin(2.0 * x); }; + + double epsilon = 5.0 * std::pow(10.0, -12.0); + + std::cout << newton(0.8, epsilon, F, dF, 100000) << '\n'; + } + +\pagebreak + +### 1.b) + +![Gráfico para $x \in [-1;1]$](./graph.png){ width=8cm } + +Como $\forall{x}: cos^2(x) \in [0:1]$, temos que $x^2 \geq cos^2(x)$ para $|x| > 1$, sabemos que o comportamento de $f(x)$ é dominado pelo comportamento de $x^2$, a qual só tem duas raízes. + +A menor das raízes encontra-se no intervalo $]-\infty;0]$ e a maior destas em $[0;\infty[$. + +Através da análise do gráfico, verificamos que o intervalo $[0.7;0.8]$ contém uma raíz. Definimos então $a = 0.7$ e $b = 0.8$. + +![Gráfico para $x \in [0.7;0.8]$](./graph_small.png){ width=6cm } + + + +### 1.c) + +Queremos mostrar que as condições de aplicabilidade do método de Newton são satisfeitas no intervalo. Assim, + +$$F(x) = x^2 - cos(x)^2$$ + +$$F'(x) = 2 \cdot x + sin(2 \cdot x)$$ + +$$F''(x) = 2 + 2 \cdot cos(2 \cdot x)$$ + +Como todas estas funções são compostas partindo de somas de funções contínuas em $\mathbb{R}$, são também continuas no intervalo considerado, verificando-se assim o primeiro critério. + +Dado que, + +$$F(a) < 0, F(b) < 0 \Rightarrow F(a) \cdot F(b) < 0$$ + +Verifica-se também o segundo critério. + +Temos que $F''(x) = 2 + 2 \cdot cos(2 \cdot x)$, logo $cos(2 \cdot x) \in [-1;1]$, por isso $2 \cdot cos(2 \cdot x) \in [-2; 2]$, e $2 \cdot cos(2 \cdot x) + 2 \in [0;4]$ o que implica que $F''(x) \geq 0$, para $x \in \mathbb{R}$ e por isso $F'(x)$ é não decrescente em $\mathbb{R}$, ou seja, $F'(b) \geq F'(a)$ e $F'(a) > 3$ e por isso $F'(x) \neq 0 \forall{x} : \in [a;b]$, o que verifica o terceiro critério. + +Como foi dito anteriormente, $F''(x) \geq 0$ em $\mathbb{R}$ e, por isso, também para $\forall{x} : \in [a;b]$, verificando-se a quarta condição. + +Para $x_0 = b$, temos que $F(x_0) > 0$ e $F''(x_0) > 0$, logo $F(x_0) \cdot F''(x_0) > 0$, verificando-se a quinta condição. + +Então a sucessão gerada converge para a unica raíz no intervalo $[a;b]$. + +### 1.d) + +Aplicamos o programa apresentado em $1.a$ e obtivemos os seguintes resultados. + +Iterações | Erro estimado | Valor +----------|---------------|--------------- +1 | 5.9e-02 | 0.740528800196 +2 | 1.4e-03 | 0.739086050826 +3 | 9.2e-07 | 0.739085133216 +4 | 3.7e-13 | 0.739085133215 + +Verficamos que o erro estimado é aproximadamente metade do erro estimado da iteração amterior, +o que justificamos com o facto de que o resultado teórico +nos dizer que o erro converge segundo uma secessão de segunda ordem. + +### 1.e) + +Aplicando a fórmula + +$$M = \frac{1}{2} \cdot \frac{\max\limits_{a \leq x \leq b} | F''(x) |}{\min\limits_{a \leq x \leq b} | F'(x) |}$$ + +Como $F''(x)$ é decrescente em $[0;\pi/2]$, então $\max\limits_{a \leq x \leq b} | F''(x) | = |F''(a)|$ e como $F'(x)$ é não decrescente em $\mathbb{R}$, $\min\limits_{a \leq x \leq b} | F'(x) | = F'(a)$. + +Assim, obtemos $M = \frac{F''(0.7)}{2F'(0.7)} \leq \frac{2.4}{2 \cdot 2.3} \leq 0.53$ e +$n \geq \frac{ln(\alpha)}{ln(2)}, \alpha = \frac{ln(5 \cdot 10^{-14}) + ln(0.53)}{ln(0.53) + ln(10^{-1})}$, logo $\alpha \leq \frac{-32}{2.9} \leq 12$ e $n \geq 4$, ou seja que com 4 iterações conseguimos um erro absoluto inferior a $5 \cdot 10^{-14}$. + +### 2.a) + +Dada a implementação genérica do algoritmo, o método iterativo simples pode ser +implementado sucintamente como: + + template + double fixed_point(double x0, double epsilon, F_t f, long iter_limit) { + return find_root(x0, epsilon, f, iter_limit); + } + +e usado como + + auto f = [](double x){ return std::cos(x); }; + std::cout << fixed_point(0.8, epsilon, f, 100000) << '\n'; + +A expressão de $\texttt{f}$ foi obtida por manipulação algébrica do seguinte modo: + +$$F(x) = 0 \iff x^2 - cos^2(x) = 0 \iff x^2 = cos^2(x) \iff x = \pm cos(x)$$ + +Logo no intervalo $[a;b]$, temos que $x = cos(x)$ ou seja $f(x) = cos(x)$. + +### 2.b) + +Aplicando o programa supra apresentado, obtivemos os seguintes erros: + +![Gŕafico da comparação do erro estimado dos dois métodos](err_fixed_point.png){ width=12cm } + +Partindo destes resultados, verificamos empiricameente a diferença na ordem de convergência dos dois métodos. + +Obtivemos como valor final para este método o valor $0.739085133217$, que difere do valor calculado +como o método de Newton em $-2 \cdot 10^{-12}$, por isso concluimos numericamente que, para os valores iniciais usados, este método pode ser aplicado, sendo que aproxima o valor real. + +Verificando as condições de aplicabilidade deste método, temos que $f(x)$ é continua em $[a;b]$, verificando-se a primeira condição, +que $f(0.7) \approx 0.76484219$ e $f(0.7) \approx 0.69670671$ o que implica que $f([a;b]) \notin [a;b]$, o implica que não se verifica a segunda condição +e que $\forall x \in [0.7;0.8] : |-sin(x)| < 1$, o que significa que se verifica a terceira condição. + +Apesar de não se verificar a segunda condição, verificamos na mesma a convergência da sucessão, o que não contradiz os resultados teóricos, uma vez que estas condições são suficientes, mas não necessárias para esta convergência. diff --git a/2 - Newton and Iterative methods/assignment.pdf b/2 - Newton and Iterative methods/assignment.pdf new file mode 100644 index 0000000..fba3320 Binary files /dev/null and b/2 - Newton and Iterative methods/assignment.pdf differ diff --git a/2 - Newton and Iterative methods/err_fixed_point.png b/2 - Newton and Iterative methods/err_fixed_point.png new file mode 100644 index 0000000..8c7c574 Binary files /dev/null and b/2 - Newton and Iterative methods/err_fixed_point.png differ diff --git a/2 - Newton and Iterative methods/graph.png b/2 - Newton and Iterative methods/graph.png new file mode 100644 index 0000000..c9210ad Binary files /dev/null and b/2 - Newton and Iterative methods/graph.png differ diff --git a/2 - Newton and Iterative methods/graph_small.png b/2 - Newton and Iterative methods/graph_small.png new file mode 100644 index 0000000..013e7a3 Binary files /dev/null and b/2 - Newton and Iterative methods/graph_small.png differ diff --git a/2 - Newton and Iterative methods/graphics/err_fixed_point.txt b/2 - Newton and Iterative methods/graphics/err_fixed_point.txt new file mode 100644 index 0000000..9007ee1 --- /dev/null +++ b/2 - Newton and Iterative methods/graphics/err_fixed_point.txt @@ -0,0 +1,62 @@ +1.0e-01 1 +7.0e-02 2 +4.7e-02 3 +3.2e-02 4 +2.1e-02 5 +1.4e-02 6 +9.7e-03 7 +6.5e-03 8 +4.4e-03 9 +3.0e-03 10 +2.0e-03 11 +1.3e-03 12 +9.0e-04 13 +6.1e-04 14 +4.1e-04 15 +2.8e-04 16 +1.9e-04 17 +1.3e-04 18 +8.5e-05 19 +5.7e-05 20 +3.8e-05 21 +2.6e-05 22 +1.7e-05 23 +1.2e-05 24 +7.9e-06 25 +5.3e-06 26 +3.6e-06 27 +2.4e-06 28 +1.6e-06 29 +1.1e-06 30 +7.4e-07 31 +5.0e-07 32 +3.3e-07 33 +2.3e-07 34 +1.5e-07 35 +1.0e-07 36 +6.9e-08 37 +4.6e-08 38 +3.1e-08 39 +2.1e-08 40 +1.4e-08 41 +9.6e-09 42 +6.4e-09 43 +4.3e-09 44 +2.9e-09 45 +2.0e-09 46 +1.3e-09 47 +8.9e-10 48 +6.0e-10 49 +4.1e-10 50 +2.7e-10 51 +1.8e-10 52 +1.2e-10 53 +8.3e-11 54 +5.6e-11 55 +3.8e-11 56 +2.6e-11 57 +1.7e-11 58 +1.2e-11 59 +7.8e-12 60 +5.3e-12 61 +3.5e-12 62 diff --git a/2 - Newton and Iterative methods/graphics/err_newton.txt b/2 - Newton and Iterative methods/graphics/err_newton.txt new file mode 100644 index 0000000..5a7110b --- /dev/null +++ b/2 - Newton and Iterative methods/graphics/err_newton.txt @@ -0,0 +1,3 @@ +1.4e-03 1 +9.2e-07 2 +3.7e-13 3 diff --git a/2 - Newton and Iterative methods/graphics/generate_graphics.gnuplot b/2 - Newton and Iterative methods/graphics/generate_graphics.gnuplot new file mode 100755 index 0000000..de643be --- /dev/null +++ b/2 - Newton and Iterative methods/graphics/generate_graphics.gnuplot @@ -0,0 +1,27 @@ +#!/usr/bin/gnuplot +set output "err_fixed_point.png"; +set terminal png size 1200,900 enhanced font "Helvetica,20" +set autoscale; +set logscale x; +set xlabel "Erro" +set ylabel "Iterações" +set xrange [] reverse; +set linetype 1 lc rgb 'black' +set linetype 2 lc rgb 'black +plot "err_fixed_point.txt" with points pointtype 1 pointsize 2 lw 4 t "Fixed Point", "err_newton.txt" with points pointtype 2 pointsize 2 lw 4 t "Newton"; + +set terminal png size 1200,900 enhanced font "Helvetica,35" +set output "graph.png"; +unset logscale x; +set xr [-1:1]; +set zeroaxis ls 1 lw 3; +set xlabel "x" +set ylabel "y" + +f(x)= x**2 - cos(x)**2; +plot f(x) lw 3 t "x^2 - cos(x)^2"; + +set output "graph_small.png"; + +set xr [0.7:0.8]; +plot f(x) lw 3 t "x^2 - cos(x)^2"; \ No newline at end of file diff --git a/2 - Newton and Iterative methods/print.pdf b/2 - Newton and Iterative methods/print.pdf new file mode 100644 index 0000000..defa7f8 Binary files /dev/null and b/2 - Newton and Iterative methods/print.pdf differ diff --git a/2 - Newton and Iterative methods/slides/css/all.css b/2 - Newton and Iterative methods/slides/css/all.css new file 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+ unicode-range: U+0460-052F, U+1C80-1C88, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F; +} +/* cyrillic */ +@font-face { + font-family: 'Merriweather'; + font-style: normal; + font-weight: 400; + src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-eCZMZ-Y.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Merriweather'; + font-style: normal; + font-weight: 400; + src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-cyZMZ-Y.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Merriweather'; + font-style: normal; + font-weight: 400; + src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-ciZMZ-Y.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Merriweather'; + font-style: normal; + font-weight: 400; + src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-fCZM.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} diff --git a/2 - Newton and Iterative methods/slides/css/css2.css b/2 - Newton and Iterative methods/slides/css/css2.css new file mode 100644 index 0000000..9ba1f7e --- /dev/null +++ b/2 - Newton and Iterative methods/slides/css/css2.css @@ -0,0 +1,32 @@ +/* cyrillic */ +@font-face { + font-family: 'Oswald'; + font-style: normal; + font-weight: 400; + src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752HT8Ghe4.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Oswald'; + font-style: normal; + font-weight: 400; + src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752Fj8Ghe4.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Oswald'; + font-style: normal; + font-weight: 400; + src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752Fz8Ghe4.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Oswald'; + font-style: normal; + font-weight: 400; + src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752GT8G.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} diff --git a/2 - Newton and Iterative methods/slides/css/css3.css b/2 - Newton and Iterative methods/slides/css/css3.css new file mode 100644 index 0000000..f04022f --- /dev/null +++ b/2 - Newton and Iterative methods/slides/css/css3.css @@ -0,0 +1,48 @@ +/* cyrillic-ext */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc3CsTKlA.woff2) format('woff2'); + unicode-range: U+0460-052F, U+1C80-1C88, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F; +} +/* cyrillic */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc-CsTKlA.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* greek-ext */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc2CsTKlA.woff2) format('woff2'); + unicode-range: U+1F00-1FFF; +} +/* greek */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc5CsTKlA.woff2) format('woff2'); + unicode-range: U+0370-03FF; +} +/* latin-ext */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc0CsTKlA.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Ubuntu Mono'; + font-style: normal; + font-weight: 400; + src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc6CsQ.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} diff --git a/2 - Newton and Iterative methods/slides/css/css4.css b/2 - Newton and Iterative methods/slides/css/css4.css new file mode 100644 index 0000000..64fb02e --- /dev/null +++ b/2 - Newton and Iterative methods/slides/css/css4.css @@ -0,0 +1,224 @@ +/* latin-ext */ +@font-face { + font-family: 'Quattrocento'; + font-style: normal; + font-weight: 400; + src: local('Quattrocento'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpEg_xvsDZQL_LKIF7q4jP3zWj6T4g.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento'; + font-style: normal; + font-weight: 400; + src: local('Quattrocento'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpEg_xvsDZQL_LKIF7q4jP3w2j6.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* latin-ext */ +@font-face { + font-family: 'Quattrocento'; + font-style: normal; + font-weight: 700; + src: local('Quattrocento Bold'), local('Quattrocento-Bold'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpbg_xvsDZQL_LKIF7q4jP_eE3vfqnYgXc.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento'; + font-style: normal; + font-weight: 700; + src: local('Quattrocento Bold'), local('Quattrocento-Bold'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpbg_xvsDZQL_LKIF7q4jP_eE3vcKnY.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* latin-ext */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: italic; + font-weight: 400; + src: local('Quattrocento Sans Italic'), local('QuattrocentoSans-Italic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9a4lja2NVIDdIAAoMR5MfuElaRB0zMh0P2GEHJ.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: italic; + font-weight: 400; + src: local('Quattrocento Sans Italic'), local('QuattrocentoSans-Italic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9a4lja2NVIDdIAAoMR5MfuElaRB0zMh032GA.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* latin-ext */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: italic; + font-weight: 700; + src: local('Quattrocento Sans Bold Italic'), local('QuattrocentoSans-BoldItalic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9X4lja2NVIDdIAAoMR5MfuElaRB0zMj_bTDXDojYsJ.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: italic; + font-weight: 700; + src: local('Quattrocento Sans Bold Italic'), local('QuattrocentoSans-BoldItalic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9X4lja2NVIDdIAAoMR5MfuElaRB0zMj_bTDX7ojQ.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* latin-ext */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: normal; + font-weight: 400; + src: local('Quattrocento Sans'), local('QuattrocentoSans'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9c4lja2NVIDdIAAoMR5MfuElaRB0zHt0_uHA.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: normal; + font-weight: 400; + src: local('Quattrocento Sans'), local('QuattrocentoSans'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9c4lja2NVIDdIAAoMR5MfuElaRB0zJt08.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* latin-ext */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: normal; + font-weight: 700; + src: local('Quattrocento Sans Bold'), local('QuattrocentoSans-Bold'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9Z4lja2NVIDdIAAoMR5MfuElaRB0RyklrfPXzwiQ.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Quattrocento Sans'; + font-style: normal; + font-weight: 700; + src: local('Quattrocento Sans Bold'), local('QuattrocentoSans-Bold'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9Z4lja2NVIDdIAAoMR5MfuElaRB0RyklrRPXw.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* cyrillic */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 400; + src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8on7mTMuk.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 400; + src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onXmTMuk.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 400; + src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onTmTMuk.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 400; + src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onrmTA.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* cyrillic */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 700; + src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfCFXUIJ.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 700; + src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfuFXUIJ.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 700; + src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfqFXUIJ.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Spectral'; + font-style: italic; + font-weight: 700; + src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfSFXQ.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* cyrillic */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 400; + src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M9knj-SA.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 400; + src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M2knj-SA.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 400; + src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M3knj-SA.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 400; + src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M5kng.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; +} +/* cyrillic */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 700; + src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23FafadWQ.woff2) format('woff2'); + unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116; +} +/* vietnamese */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 700; + src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23OafadWQ.woff2) format('woff2'); + unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB; +} +/* latin-ext */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 700; + src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23PafadWQ.woff2) format('woff2'); + unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; +} +/* latin */ +@font-face { + font-family: 'Spectral'; + font-style: normal; + font-weight: 700; + src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23BafY.woff2) format('woff2'); + unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, 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color:rgba(255,182,193,.6) +} +.color-lightsalmon{ + color:#ffa07a +} +.color-lightsalmon-20pct{ + color:rgba(255,160,122,.2) +} +.color-lightsalmon-40pct{ + color:rgba(255,160,122,.4) +} +.color-lightsalmon-60pct{ + color:rgba(255,160,122,.6) +} +.color-lightseagreen{ + color:#20b2aa +} +.color-lightseagreen-20pct{ + color:rgba(32,178,170,.2) +} +.color-lightseagreen-40pct{ + color:rgba(32,178,170,.4) +} +.color-lightseagreen-60pct{ + color:rgba(32,178,170,.6) +} +.color-lightskyblue{ + color:#87cefa +} +.color-lightskyblue-20pct{ + color:rgba(135,206,250,.2) +} +.color-lightskyblue-40pct{ + color:rgba(135,206,250,.4) +} +.color-lightskyblue-60pct{ + color:rgba(135,206,250,.6) +} +.color-lightslategray,.color-lightslategrey{ + color:#789 +} +.color-lightslategray-20pct,.color-lightslategrey-20pct{ + color:rgba(119,136,153,.2) +} +.color-lightslategray-40pct,.color-lightslategrey-40pct{ + color:rgba(119,136,153,.4) +} +.color-lightslategray-60pct,.color-lightslategrey-60pct{ + color:rgba(119,136,153,.6) +} +.color-lightsteelblue{ + color:#b0c4de +} +.color-lightsteelblue-20pct{ + color:rgba(176,196,222,.2) +} +.color-lightsteelblue-40pct{ + color:rgba(176,196,222,.4) +} +.color-lightsteelblue-60pct{ + color:rgba(176,196,222,.6) +} +.color-lightyellow{ + color:#ffffe0 +} +.color-lightyellow-20pct{ + color:rgba(255,255,224,.2) +} +.color-lightyellow-40pct{ + color:rgba(255,255,224,.4) +} +.color-lightyellow-60pct{ + color:rgba(255,255,224,.6) +} +.color-lime{ + color:#0f0 +} +.color-lime-20pct{ + color:rgba(0,255,0,.2) +} +.color-lime-40pct{ + color:rgba(0,255,0,.4) +} +.color-lime-60pct{ + color:rgba(0,255,0,.6) +} +.color-limegreen{ + color:#32cd32 +} +.color-limegreen-20pct{ + color:rgba(50,205,50,.2) +} +.color-limegreen-40pct{ + color:rgba(50,205,50,.4) +} +.color-limegreen-60pct{ + color:rgba(50,205,50,.6) +} +.color-linen{ + color:linen +} +.color-linen-20pct{ + color:rgba(250,240,230,.2) +} +.color-linen-40pct{ + color:rgba(250,240,230,.4) +} 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+.color-mediumpurple-40pct{ + color:rgba(147,112,219,.4) +} +.color-mediumpurple-60pct{ + color:rgba(147,112,219,.6) +} +.color-mediumseagreen{ + color:#3cb371 +} +.color-mediumseagreen-20pct{ + color:rgba(60,179,113,.2) +} +.color-mediumseagreen-40pct{ + color:rgba(60,179,113,.4) +} +.color-mediumseagreen-60pct{ + color:rgba(60,179,113,.6) +} +.color-mediumslateblue{ + color:#7b68ee +} +.color-mediumslateblue-20pct{ + color:rgba(123,104,238,.2) +} +.color-mediumslateblue-40pct{ + color:rgba(123,104,238,.4) +} +.color-mediumslateblue-60pct{ + color:rgba(123,104,238,.6) +} +.color-mediumspringgreen{ + color:#00fa9a +} +.color-mediumspringgreen-20pct{ + color:rgba(0,250,154,.2) +} +.color-mediumspringgreen-40pct{ + color:rgba(0,250,154,.4) +} +.color-mediumspringgreen-60pct{ + color:rgba(0,250,154,.6) +} +.color-mediumturquoise{ + color:#48d1cc +} +.color-mediumturquoise-20pct{ + color:rgba(72,209,204,.2) +} +.color-mediumturquoise-40pct{ + color:rgba(72,209,204,.4) +} +.color-mediumturquoise-60pct{ + color:rgba(72,209,204,.6) +} +.color-mediumvioletred{ + color:#c71585 +} +.color-mediumvioletred-20pct{ + color:rgba(199,21,133,.2) +} +.color-mediumvioletred-40pct{ + color:rgba(199,21,133,.4) +} +.color-mediumvioletred-60pct{ + color:rgba(199,21,133,.6) +} +.color-midnightblue{ + color:#191970 +} +.color-midnightblue-20pct{ + color:rgba(25,25,112,.2) +} +.color-midnightblue-40pct{ + color:rgba(25,25,112,.4) +} +.color-midnightblue-60pct{ + color:rgba(25,25,112,.6) +} +.color-mintcream{ + color:#f5fffa +} +.color-mintcream-20pct{ + color:rgba(245,255,250,.2) +} +.color-mintcream-40pct{ + color:rgba(245,255,250,.4) +} +.color-mintcream-60pct{ + color:rgba(245,255,250,.6) +} +.color-mistyrose{ + color:#ffe4e1 +} +.color-mistyrose-20pct{ + color:rgba(255,228,225,.2) +} +.color-mistyrose-40pct{ + color:rgba(255,228,225,.4) +} +.color-mistyrose-60pct{ + color:rgba(255,228,225,.6) +} +.color-moccasin{ + color:#ffe4b5 +} +.color-moccasin-20pct{ + color:rgba(255,228,181,.2) +} +.color-moccasin-40pct{ + color:rgba(255,228,181,.4) +} +.color-moccasin-60pct{ + color:rgba(255,228,181,.6) +} +.color-navajowhite{ + color:#ffdead +} +.color-navajowhite-20pct{ + color:rgba(255,222,173,.2) +} +.color-navajowhite-40pct{ + color:rgba(255,222,173,.4) +} +.color-navajowhite-60pct{ + color:rgba(255,222,173,.6) +} +.color-navy{ + color:navy +} +.color-navy-20pct{ + color:rgba(0,0,128,.2) +} +.color-navy-40pct{ + color:rgba(0,0,128,.4) +} +.color-navy-60pct{ + color:rgba(0,0,128,.6) +} +.color-oldlace{ + color:#fdf5e6 +} +.color-oldlace-20pct{ + color:rgba(253,245,230,.2) +} +.color-oldlace-40pct{ + color:rgba(253,245,230,.4) +} +.color-oldlace-60pct{ + color:rgba(253,245,230,.6) +} +.color-olive{ + color:olive +} +.color-olive-20pct{ + color:rgba(128,128,0,.2) +} +.color-olive-40pct{ + color:rgba(128,128,0,.4) +} +.color-olive-60pct{ + color:rgba(128,128,0,.6) +} +.color-olivedrab{ + color:#6b8e23 +} +.color-olivedrab-20pct{ + color:rgba(107,142,35,.2) +} +.color-olivedrab-40pct{ + color:rgba(107,142,35,.4) +} +.color-olivedrab-60pct{ + color:rgba(107,142,35,.6) +} +.color-orange{ + color:orange +} +.color-orange-20pct{ + color:rgba(255,165,0,.2) +} +.color-orange-40pct{ + color:rgba(255,165,0,.4) +} +.color-orange-60pct{ + color:rgba(255,165,0,.6) +} +.color-orangered{ + color:#ff4500 +} +.color-orangered-20pct{ + color:rgba(255,69,0,.2) +} +.color-orangered-40pct{ + color:rgba(255,69,0,.4) +} +.color-orangered-60pct{ + color:rgba(255,69,0,.6) +} +.color-orchid{ + color:orchid +} +.color-orchid-20pct{ + color:rgba(218,112,214,.2) +} +.color-orchid-40pct{ + color:rgba(218,112,214,.4) +} +.color-orchid-60pct{ + color:rgba(218,112,214,.6) +} +.color-palegoldenrod{ + color:#eee8aa +} +.color-palegoldenrod-20pct{ + color:rgba(238,232,170,.2) +} +.color-palegoldenrod-40pct{ + color:rgba(238,232,170,.4) +} +.color-palegoldenrod-60pct{ + color:rgba(238,232,170,.6) +} +.color-palegreen{ + color:#98fb98 +} +.color-palegreen-20pct{ + color:rgba(152,251,152,.2) +} +.color-palegreen-40pct{ + color:rgba(152,251,152,.4) +} +.color-palegreen-60pct{ + color:rgba(152,251,152,.6) +} +.color-paleturquoise{ + color:#afeeee +} +.color-paleturquoise-20pct{ + color:rgba(175,238,238,.2) +} +.color-paleturquoise-40pct{ + color:rgba(175,238,238,.4) +} +.color-paleturquoise-60pct{ + color:rgba(175,238,238,.6) +} +.color-palevioletred{ + color:#db7093 +} +.color-palevioletred-20pct{ + color:rgba(219,112,147,.2) +} +.color-palevioletred-40pct{ + color:rgba(219,112,147,.4) +} +.color-palevioletred-60pct{ + color:rgba(219,112,147,.6) +} +.color-papayawhip{ + color:#ffefd5 +} +.color-papayawhip-20pct{ + color:rgba(255,239,213,.2) +} +.color-papayawhip-40pct{ + color:rgba(255,239,213,.4) +} +.color-papayawhip-60pct{ + color:rgba(255,239,213,.6) +} +.color-peachpuff{ + color:#ffdab9 +} +.color-peachpuff-20pct{ + color:rgba(255,218,185,.2) +} +.color-peachpuff-40pct{ + color:rgba(255,218,185,.4) +} +.color-peachpuff-60pct{ + color:rgba(255,218,185,.6) +} +.color-peru{ + color:peru +} +.color-peru-20pct{ + color:rgba(205,133,63,.2) +} +.color-peru-40pct{ + color:rgba(205,133,63,.4) +} +.color-peru-60pct{ + color:rgba(205,133,63,.6) +} +.color-pink{ + color:pink +} +.color-pink-20pct{ + color:rgba(255,192,203,.2) +} +.color-pink-40pct{ + color:rgba(255,192,203,.4) +} +.color-pink-60pct{ + color:rgba(255,192,203,.6) +} +.color-plum{ + color:plum +} +.color-plum-20pct{ + color:rgba(221,160,221,.2) +} +.color-plum-40pct{ + color:rgba(221,160,221,.4) +} +.color-plum-60pct{ + color:rgba(221,160,221,.6) +} +.color-powderblue{ + color:#b0e0e6 +} +.color-powderblue-20pct{ + color:rgba(176,224,230,.2) +} +.color-powderblue-40pct{ + color:rgba(176,224,230,.4) +} +.color-powderblue-60pct{ + color:rgba(176,224,230,.6) +} +.color-purple{ + color:purple +} +.color-purple-20pct{ + color:rgba(128,0,128,.2) +} +.color-purple-40pct{ + color:rgba(128,0,128,.4) +} +.color-purple-60pct{ + color:rgba(128,0,128,.6) +} +.color-rebeccapurple{ + color:#639 +} +.color-rebeccapurple-20pct{ + color:rgba(102,51,153,.2) +} +.color-rebeccapurple-40pct{ + color:rgba(102,51,153,.4) +} +.color-rebeccapurple-60pct{ + color:rgba(102,51,153,.6) +} +.color-red-20pct{ + color:rgba(255,0,0,.2) +} +.color-red-40pct{ + color:rgba(255,0,0,.4) +} +.color-red-60pct{ + color:rgba(255,0,0,.6) +} +.color-rosybrown{ + color:#bc8f8f +} +.color-rosybrown-20pct{ + color:rgba(188,143,143,.2) +} +.color-rosybrown-40pct{ + color:rgba(188,143,143,.4) +} +.color-rosybrown-60pct{ + color:rgba(188,143,143,.6) +} +.color-royalblue{ + color:#4169e1 +} +.color-royalblue-20pct{ + color:rgba(65,105,225,.2) +} +.color-royalblue-40pct{ + color:rgba(65,105,225,.4) +} +.color-royalblue-60pct{ + color:rgba(65,105,225,.6) +} +.color-saddlebrown{ + color:#8b4513 +} +.color-saddlebrown-20pct{ + color:rgba(139,69,19,.2) +} +.color-saddlebrown-40pct{ + color:rgba(139,69,19,.4) +} +.color-saddlebrown-60pct{ + color:rgba(139,69,19,.6) +} +.color-salmon{ + color:salmon +} +.color-salmon-20pct{ + color:rgba(250,128,114,.2) +} +.color-salmon-40pct{ + color:rgba(250,128,114,.4) +} +.color-salmon-60pct{ + color:rgba(250,128,114,.6) +} +.color-sandybrown{ + color:#f4a460 +} +.color-sandybrown-20pct{ + color:rgba(244,164,96,.2) +} +.color-sandybrown-40pct{ + color:rgba(244,164,96,.4) +} +.color-sandybrown-60pct{ + color:rgba(244,164,96,.6) +} +.color-seagreen{ + color:#2e8b57 +} +.color-seagreen-20pct{ + color:rgba(46,139,87,.2) +} +.color-seagreen-40pct{ + color:rgba(46,139,87,.4) +} +.color-seagreen-60pct{ + color:rgba(46,139,87,.6) +} +.color-seashell{ + color:#fff5ee +} +.color-seashell-20pct{ + color:rgba(255,245,238,.2) +} +.color-seashell-40pct{ + color:rgba(255,245,238,.4) +} +.color-seashell-60pct{ + color:rgba(255,245,238,.6) +} +.color-sienna{ + color:sienna +} +.color-sienna-20pct{ + color:rgba(160,82,45,.2) +} +.color-sienna-40pct{ + color:rgba(160,82,45,.4) +} +.color-sienna-60pct{ + color:rgba(160,82,45,.6) +} +.color-silver{ + color:silver +} +.color-silver-20pct{ + color:rgba(192,192,192,.2) +} +.color-silver-40pct{ + color:rgba(192,192,192,.4) +} +.color-silver-60pct{ + color:rgba(192,192,192,.6) +} +.color-skyblue{ + color:#87ceeb +} +.color-skyblue-20pct{ + color:rgba(135,206,235,.2) +} +.color-skyblue-40pct{ + color:rgba(135,206,235,.4) +} +.color-skyblue-60pct{ + color:rgba(135,206,235,.6) +} +.color-slateblue{ + color:#6a5acd +} +.color-slateblue-20pct{ + color:rgba(106,90,205,.2) +} +.color-slateblue-40pct{ + color:rgba(106,90,205,.4) +} +.color-slateblue-60pct{ + color:rgba(106,90,205,.6) +} +.color-slategray,.color-slategrey{ + color:#708090 +} +.color-slategray-20pct,.color-slategrey-20pct{ + color:rgba(112,128,144,.2) +} +.color-slategray-40pct,.color-slategrey-40pct{ + color:rgba(112,128,144,.4) +} +.color-slategray-60pct,.color-slategrey-60pct{ + color:rgba(112,128,144,.6) +} +.color-snow{ + color:snow +} +.color-snow-20pct{ + color:rgba(255,250,250,.2) +} +.color-snow-40pct{ + color:rgba(255,250,250,.4) +} +.color-snow-60pct{ + color:rgba(255,250,250,.6) +} +.color-springgreen{ + color:#00ff7f +} +.color-springgreen-20pct{ + color:rgba(0,255,127,.2) +} +.color-springgreen-40pct{ + color:rgba(0,255,127,.4) +} +.color-springgreen-60pct{ + color:rgba(0,255,127,.6) +} +.color-steelblue{ + color:#4682b4 +} +.color-steelblue-20pct{ + color:rgba(70,130,180,.2) +} +.color-steelblue-40pct{ + color:rgba(70,130,180,.4) +} +.color-steelblue-60pct{ + color:rgba(70,130,180,.6) +} +.color-tan{ + color:tan +} +.color-tan-20pct{ + color:rgba(210,180,140,.2) +} +.color-tan-40pct{ + color:rgba(210,180,140,.4) +} +.color-tan-60pct{ + color:rgba(210,180,140,.6) +} +.color-teal{ + color:teal +} +.color-teal-20pct{ + color:rgba(0,128,128,.2) +} +.color-teal-40pct{ + color:rgba(0,128,128,.4) +} +.color-teal-60pct{ + color:rgba(0,128,128,.6) +} +.color-thistle{ + color:#d8bfd8 +} +.color-thistle-20pct{ + color:rgba(216,191,216,.2) +} +.color-thistle-40pct{ + color:rgba(216,191,216,.4) +} +.color-thistle-60pct{ + color:rgba(216,191,216,.6) +} +.color-tomato{ + color:tomato +} +.color-tomato-20pct{ + color:rgba(255,99,71,.2) +} +.color-tomato-40pct{ + color:rgba(255,99,71,.4) +} +.color-tomato-60pct{ + color:rgba(255,99,71,.6) +} +.color-turquoise{ + color:#40e0d0 +} +.color-turquoise-20pct{ + color:rgba(64,224,208,.2) +} +.color-turquoise-40pct{ + color:rgba(64,224,208,.4) +} +.color-turquoise-60pct{ + color:rgba(64,224,208,.6) +} +.color-violet{ + color:violet +} +.color-violet-20pct{ + color:rgba(238,130,238,.2) +} +.color-violet-40pct{ + color:rgba(238,130,238,.4) +} +.color-violet-60pct{ + color:rgba(238,130,238,.6) +} +.color-wheat{ + color:wheat +} +.color-wheat-20pct{ + color:rgba(245,222,179,.2) +} +.color-wheat-40pct{ + color:rgba(245,222,179,.4) +} +.color-wheat-60pct{ + color:rgba(245,222,179,.6) +} +.color-white{ + color:#fff +} +.color-white-20pct{ + color:rgba(255,255,255,.2) +} +.color-white-40pct{ + color:rgba(255,255,255,.4) +} +.color-white-60pct{ + color:rgba(255,255,255,.6) +} +.color-whitesmoke{ + color:#f5f5f5 +} +.color-whitesmoke-20pct{ + color:rgba(245,245,245,.2) +} +.color-whitesmoke-40pct{ + color:rgba(245,245,245,.4) +} +.color-whitesmoke-60pct{ + color:rgba(245,245,245,.6) +} +.color-yellow{ + color:#ff0 +} +.color-yellow-20pct{ + color:rgba(255,255,0,.2) +} +.color-yellow-40pct{ + color:rgba(255,255,0,.4) +} +.color-yellow-60pct{ + color:rgba(255,255,0,.6) +} +.color-yellowgreen{ + color:#9acd32 +} +.color-yellowgreen-20pct{ + color:rgba(154,205,50,.2) +} +.color-yellowgreen-40pct{ + color:rgba(154,205,50,.4) +} +.color-yellowgreen-60pct{ + color:rgba(154,205,50,.6) +} +.db,img[src~=db]{ + display:block +} +.dib,img[src~=dib]{ + display:inline-block +} +.fixed,img[src~=fixed]{ + position:fixed +} +.fl,img[src~=fl]{ + float:left +} +.fn,img[src~=fn]{ + float:none +} +.footnote{ + bottom:3em; + font-size:50%; + position:absolute +} +.fr,img[src~=fr]{ + float:right +} +.green{ + color:#1d9a78!important +} +.h-0,img[src~=h-0]{ + height:0 +} +.h-1,img[src~=h-1]{ + height:1rem +} +.h-1-12th,img[src~=h-1-12th]{ + height:8.33333333% +} +.h-10-12th,img[src~=h-10-12th]{ + height:83.33333333% +} +.h-100pct,img[src~=h-100pct]{ + height:100% +} +.h-10pct,img[src~=h-10pct]{ + height:10% +} +.h-11-12th,img[src~=h-11-12th]{ + height:91.66666667% +} +.h-2,img[src~=h-2]{ + height:2rem +} +.h-2-12th,img[src~=h-2-12th]{ + height:16.66666667% +} +.h-20pct,img[src~=h-20pct]{ + height:20% +} +.h-3,img[src~=h-3]{ + height:4rem +} +.h-3-12th,img[src~=h-3-12th]{ + height:25% +} +.h-30pct,img[src~=h-30pct]{ + height:30% +} +.h-33pct,img[src~=h-33pct]{ + height:33% +} +.h-34pct,img[src~=h-34pct]{ + height:34% +} +.h-4,img[src~=h-4]{ + height:8rem +} +.h-4-12th,.h-third,img[src~=h-4-12th],img[src~=h-third]{ + height:33.33333333% +} +.h-40pct,img[src~=h-40pct]{ + height:40% +} +.h-5,img[src~=h-5]{ + height:16rem +} +.h-5-12th,img[src~=h-5-12th]{ + height:41.66666667% +} +.h-50pct,.h-6-12th,img[src~=h-50pct],img[src~=h-6-12th]{ + height:50% +} +.h-6,img[src~=h-6]{ + height:32rem +} +.h-60pct,img[src~=h-60pct]{ + height:60% +} +.h-7,img[src~=h-7]{ + height:48rem +} +.h-7-12th,img[src~=h-7-12th]{ + height:58.33333333% +} +.h-70pct,img[src~=h-70pct]{ + height:70% +} +.h-75pct,.h-9-12th,img[src~=h-75pct],img[src~=h-9-12th]{ + height:75% +} +.h-8,img[src~=h-8]{ + height:64rem +} +.h-8-12th,.h-two-thirds,img[src~=h-8-12th],img[src~=h-two-thirds]{ + height:66.66666667% +} +.h-80pct,img[src~=h-80pct]{ + height:80% +} +.h-9,img[src~=h-9]{ + height:96rem +} +.h-90pct,img[src~=h-90pct]{ + height:90% +} +.html_example{ + border:1px solid; + padding:1em; + text-align:center +} +.indexlink{ + bottom:12px; + font-size:.8em; + left:20px; + opacity:.5; + position:absolute +} +.indexlink a{ + color:#999; + padding-right:1em +} +.indexlist li{ + background:#333; + display:block; + float:left; + padding:1em +} +.inverse{ + color:#ccc; + text-shadow:0 0 20px #333 +} +.inverse h1,.inverse h2{ + color:#f3f3f3; + line-height:1.5em +} +.inverse h2{ + font-size:1.4em +} +.key{ + text-decoration:underline +} +.l-0,img[src~=l-0]{ + left:0 +} +.l-1,img[src~=l-1]{ + left:1rem +} +.l-1-12th,img[src~=l-1-12th]{ + left:8.33333333% +} +.l-10-12th,img[src~=l-10-12th]{ + left:83.33333333% +} +.l-100pct,img[src~=l-100pct]{ + left:100% +} +.l-10pct,img[src~=l-10pct]{ + left:10% +} +.l-11-12th,img[src~=l-11-12th]{ + left:91.66666667% +} +.l-2,img[src~=l-2]{ + left:2rem +} +.l-2-12th,img[src~=l-2-12th]{ + left:16.66666667% +} +.l-20pct,img[src~=l-20pct]{ + left:20% +} +.l-3,img[src~=l-3]{ + left:4rem +} +.l-3-12th,img[src~=l-3-12th]{ + left:25% +} +.l-30pct,img[src~=l-30pct]{ + left:30% +} +.l-33pct,img[src~=l-33pct]{ + left:33% +} +.l-34pct,img[src~=l-34pct]{ + left:34% +} +.l-4,img[src~=l-4]{ + left:8rem +} +.l-4-12th,.l-third,img[src~=l-4-12th],img[src~=l-third]{ + left:33.33333333% +} +.l-40pct,img[src~=l-40pct]{ + left:40% +} +.l-5,img[src~=l-5]{ + left:16rem +} +.l-5-12th,img[src~=l-5-12th]{ + left:41.66666667% +} +.l-50pct,.l-6-12th,img[src~=l-50pct],img[src~=l-6-12th]{ + left:50% +} +.l-6,img[src~=l-6]{ + left:32rem +} +.l-60pct,img[src~=l-60pct]{ + left:60% +} +.l-7,img[src~=l-7]{ + left:48rem +} +.l-7-12th,img[src~=l-7-12th]{ + left:58.33333333% +} +.l-70pct,img[src~=l-70pct]{ + left:70% +} +.l-75pct,.l-9-12th,img[src~=l-75pct],img[src~=l-9-12th]{ + left:75% +} +.l-8,img[src~=l-8]{ + left:64rem +} +.l-8-12th,.l-two-thirds,img[src~=l-8-12th],img[src~=l-two-thirds]{ + left:66.66666667% +} +.l-80pct,img[src~=l-80pct]{ + left:80% +} +.l-9,img[src~=l-9]{ + left:96rem +} +.l-90pct,img[src~=l-90pct]{ + left:90% +} +.large{ + font-size:2em +} +.large img{ + border:0; + margin-left:-5%; + max-width:105% +} +.left-column{ + color:#777; + float:left; + height:92%; + width:20% +} +.color-black,.left-column h2:last-of-type,.left-column h3:last-child{ + color:#000 +} +.ma-0,img[src~=ma-0]{ + margin:0 +} +.ma-1,img[src~=ma-1]{ + margin:.25rem +} +.ma-2,img[src~=ma-2]{ + margin:.5rem +} +.ma-3,img[src~=ma-3]{ + margin:1rem +} +.ma-4,img[src~=ma-4]{ + margin:2rem +} +.ma-5,img[src~=ma-5]{ + margin:4rem +} +.ma-6,img[src~=ma-6]{ + margin:8rem +} +.ma-7,img[src~=ma-7]{ + margin:16rem +} +.ma-8,img[src~=ma-8]{ + margin:32rem +} +.ma-9,img[src~=ma-9]{ + margin:64rem +} +.maxh-0,img[src~=maxh-0]{ + max-height:0 +} +.maxh-1,img[src~=maxh-1]{ + max-height:1rem +} +.maxh-1-12th,img[src~=maxh-1-12th]{ + max-height:8.33333333% +} +.maxh-10-12th,img[src~=maxh-10-12th]{ + max-height:83.33333333% +} +.maxh-100pct,img[src~=maxh-100pct]{ + max-height:100% +} +.maxh-10pct,img[src~=maxh-10pct]{ + max-height:10% +} +.maxh-11-12th,img[src~=maxh-11-12th]{ + max-height:91.66666667% +} +.maxh-2,img[src~=maxh-2]{ + max-height:2rem +} +.maxh-2-12th,img[src~=maxh-2-12th]{ + max-height:16.66666667% +} +.maxh-20pct,img[src~=maxh-20pct]{ + max-height:20% +} +.maxh-3,img[src~=maxh-3]{ + max-height:4rem +} +.maxh-3-12th,img[src~=maxh-3-12th]{ + max-height:25% +} +.maxh-30pct,img[src~=maxh-30pct]{ + max-height:30% +} +.maxh-33pct,img[src~=maxh-33pct]{ + max-height:33% +} +.maxh-34pct,img[src~=maxh-34pct]{ + max-height:34% +} +.maxh-4,img[src~=maxh-4]{ + max-height:8rem +} +.maxh-4-12th,.maxh-third,img[src~=maxh-4-12th],img[src~=maxh-third]{ + max-height:33.33333333% +} +.maxh-40pct,img[src~=maxh-40pct]{ + max-height:40% +} +.maxh-5,img[src~=maxh-5]{ + max-height:16rem +} +.maxh-5-12th,img[src~=maxh-5-12th]{ + max-height:41.66666667% +} +.maxh-50pct,.maxh-6-12th,img[src~=maxh-50pct],img[src~=maxh-6-12th]{ + max-height:50% +} +.maxh-6,img[src~=maxh-6]{ + max-height:32rem +} +.maxh-60pct,img[src~=maxh-60pct]{ + max-height:60% +} +.maxh-7,img[src~=maxh-7]{ + max-height:48rem +} +.maxh-7-12th,img[src~=maxh-7-12th]{ + max-height:58.33333333% +} +.maxh-70pct,img[src~=maxh-70pct]{ + max-height:70% +} +.maxh-75pct,.maxh-9-12th,img[src~=maxh-75pct],img[src~=maxh-9-12th]{ + max-height:75% +} +.maxh-8,img[src~=maxh-8]{ + max-height:64rem +} +.maxh-8-12th,.maxh-two-thirds,img[src~=maxh-8-12th],img[src~=maxh-two-thirds]{ + max-height:66.66666667% +} +.maxh-80pct,img[src~=maxh-80pct]{ + max-height:80% +} +.maxh-9,img[src~=maxh-9]{ + max-height:96rem +} +.maxh-90pct,img[src~=maxh-90pct]{ + max-height:90% +} +.maxw-0,img[src~=maxw-0]{ + max-width:0 +} +.maxw-1,img[src~=maxw-1]{ + max-width:1rem +} +.maxw-1-12th,img[src~=maxw-1-12th]{ + max-width:8.33333333% +} +.maxw-10-12th,img[src~=maxw-10-12th]{ + max-width:83.33333333% +} +.maxw-10pct,img[src~=maxw-10pct]{ + max-width:10% +} +.maxw-11-12th,img[src~=maxw-11-12th]{ + max-width:91.66666667% +} +.maxw-2,img[src~=maxw-2]{ + max-width:2rem +} +.maxw-2-12th,img[src~=maxw-2-12th]{ + max-width:16.66666667% +} +.maxw-20pct,img[src~=maxw-20pct]{ + max-width:20% +} +.maxw-3,img[src~=maxw-3]{ + max-width:4rem +} +.maxw-3-12th,img[src~=maxw-3-12th]{ + max-width:25% +} +.maxw-30pct,img[src~=maxw-30pct]{ + max-width:30% +} +.maxw-33pct,img[src~=maxw-33pct]{ + max-width:33% +} +.maxw-34pct,img[src~=maxw-34pct]{ + max-width:34% +} +.maxw-4,img[src~=maxw-4]{ + max-width:8rem +} +.maxw-4-12th,.maxw-third,img[src~=maxw-4-12th],img[src~=maxw-third]{ + max-width:33.33333333% +} +.maxw-40pct,img[src~=maxw-40pct]{ + max-width:40% +} +.maxw-5,img[src~=maxw-5]{ + max-width:16rem +} +.maxw-5-12th,img[src~=maxw-5-12th]{ + max-width:41.66666667% +} +.maxw-50pct,.maxw-6-12th,img[src~=maxw-50pct],img[src~=maxw-6-12th]{ + max-width:50% +} +.maxw-6,img[src~=maxw-6]{ + max-width:32rem +} +.maxw-60pct,img[src~=maxw-60pct]{ + max-width:60% +} +.maxw-7,img[src~=maxw-7]{ + max-width:48rem +} +.maxw-7-12th,img[src~=maxw-7-12th]{ + max-width:58.33333333% +} +.maxw-70pct,img[src~=maxw-70pct]{ + max-width:70% +} +.maxw-8,img[src~=maxw-8]{ + max-width:64rem +} +.maxw-8-12th,.maxw-two-thirds,img[src~=maxw-8-12th],img[src~=maxw-two-thirds]{ + max-width:66.66666667% +} +.maxw-80pct,img[src~=maxw-80pct]{ + max-width:80% +} +.maxw-9,img[src~=maxw-9]{ + max-width:96rem +} +.maxw-90pct,img[src~=maxw-90pct]{ + max-width:90% +} +.mb-0,img[src~=mb-0]{ + margin-bottom:0 +} +.mb-1,img[src~=mb-1]{ + margin-bottom:.25rem +} +.mb-2,img[src~=mb-2]{ + margin-bottom:.5rem +} +.mb-3,img[src~=mb-3]{ + margin-bottom:1rem +} +.mb-4,img[src~=mb-4]{ + margin-bottom:2rem +} +.mb-5,img[src~=mb-5]{ + margin-bottom:4rem +} +.mb-6,img[src~=mb-6]{ + margin-bottom:8rem +} +.mb-7,img[src~=mb-7]{ + margin-bottom:16rem +} +.mb-8,img[src~=mb-8]{ + margin-bottom:32rem +} +.mb-9,img[src~=mb-9]{ + margin-bottom:64rem +} +.mh-0,img[src~=mh-0]{ + margin-left:0; + margin-right:0 +} +.mh-1,img[src~=mh-1]{ + margin-left:.25rem; + margin-right:.25rem +} +.mh-2,img[src~=mh-2]{ + margin-left:.5rem; + margin-right:.5rem +} +.mh-3,img[src~=mh-3]{ + margin-left:1rem; + margin-right:1rem +} +.mh-4,img[src~=mh-4]{ + margin-left:2rem; + margin-right:2rem +} +.mh-5,img[src~=mh-5]{ + margin-left:4rem; + margin-right:4rem +} +.mh-6,img[src~=mh-6]{ + margin-left:8rem; + margin-right:8rem +} +.mh-7,img[src~=mh-7]{ + margin-left:16rem; + margin-right:16rem +} +.mh-8,img[src~=mh-8]{ + margin-left:32rem; + margin-right:32rem +} +.mh-9,img[src~=mh-9]{ + margin-left:64rem; + margin-right:64rem +} +.minh-0,img[src~=minh-0]{ + min-height:0 +} +.minh-1,img[src~=minh-1]{ + min-height:1rem +} +.minh-1-12th,img[src~=minh-1-12th]{ + min-height:8.33333333% +} +.minh-10-12th,img[src~=minh-10-12th]{ + min-height:83.33333333% +} +.minh-100pct,img[src~=minh-100pct]{ + min-height:100% +} +.minh-10pct,img[src~=minh-10pct]{ + min-height:10% +} +.minh-11-12th,img[src~=minh-11-12th]{ + min-height:91.66666667% +} +.minh-2,img[src~=minh-2]{ + min-height:2rem +} +.minh-2-12th,img[src~=minh-2-12th]{ + min-height:16.66666667% +} +.minh-20pct,img[src~=minh-20pct]{ + min-height:20% +} +.minh-3,img[src~=minh-3]{ + min-height:4rem +} +.minh-3-12th,img[src~=minh-3-12th]{ + min-height:25% +} +.minh-30pct,img[src~=minh-30pct]{ + min-height:30% +} +.minh-33pct,img[src~=minh-33pct]{ + min-height:33% +} +.minh-34pct,img[src~=minh-34pct]{ + min-height:34% +} +.minh-4,img[src~=minh-4]{ + min-height:8rem +} +.minh-4-12th,.minh-third,img[src~=minh-4-12th],img[src~=minh-third]{ + min-height:33.33333333% +} +.minh-40pct,img[src~=minh-40pct]{ + min-height:40% +} +.minh-5,img[src~=minh-5]{ + min-height:16rem +} +.minh-5-12th,img[src~=minh-5-12th]{ + min-height:41.66666667% +} +.minh-50pct,.minh-6-12th,img[src~=minh-50pct],img[src~=minh-6-12th]{ + min-height:50% +} +.minh-6,img[src~=minh-6]{ + min-height:32rem +} +.minh-60pct,img[src~=minh-60pct]{ + min-height:60% +} +.minh-7,img[src~=minh-7]{ + min-height:48rem +} +.minh-7-12th,img[src~=minh-7-12th]{ + min-height:58.33333333% +} +.minh-70pct,img[src~=minh-70pct]{ + min-height:70% +} +.minh-75pct,.minh-9-12th,img[src~=minh-75pct],img[src~=minh-9-12th]{ + min-height:75% +} +.minh-8,img[src~=minh-8]{ + min-height:64rem +} +.minh-8-12th,.minh-two-thirds,img[src~=minh-8-12th],img[src~=minh-two-thirds]{ + min-height:66.66666667% +} +.minh-80pct,img[src~=minh-80pct]{ + min-height:80% +} +.minh-9,img[src~=minh-9]{ + min-height:96rem +} +.minh-90pct,img[src~=minh-90pct]{ + min-height:90% +} +.minw-0,img[src~=minw-0]{ + min-width:0 +} +.minw-1,img[src~=minw-1]{ + min-width:1rem +} +.minw-1-12th,img[src~=minw-1-12th]{ + min-width:8.33333333% +} +.minw-10-12th,img[src~=minw-10-12th]{ + min-width:83.33333333% +} +.minw-100pct,img[src~=minw-100pct]{ + min-width:100% +} +.minw-10pct,img[src~=minw-10pct]{ + min-width:10% +} +.minw-11-12th,img[src~=minw-11-12th]{ + min-width:91.66666667% +} +.minw-2,img[src~=minw-2]{ + min-width:2rem +} +.minw-2-12th,img[src~=minw-2-12th]{ + min-width:16.66666667% +} +.minw-20pct,img[src~=minw-20pct]{ + min-width:20% +} +.minw-3,img[src~=minw-3]{ + min-width:4rem +} +.minw-3-12th,img[src~=minw-3-12th]{ + min-width:25% +} +.minw-30pct,img[src~=minw-30pct]{ + min-width:30% +} +.minw-33pct,img[src~=minw-33pct]{ + min-width:33% +} +.minw-34pct,img[src~=minw-34pct]{ + min-width:34% +} +.minw-4,img[src~=minw-4]{ + min-width:8rem +} +.minw-4-12th,.minw-third,img[src~=minw-4-12th],img[src~=minw-third]{ + min-width:33.33333333% +} +.minw-40pct,img[src~=minw-40pct]{ + min-width:40% +} +.minw-5,img[src~=minw-5]{ + min-width:16rem +} +.minw-5-12th,img[src~=minw-5-12th]{ + min-width:41.66666667% +} +.minw-50pct,.minw-6-12th,img[src~=minw-50pct],img[src~=minw-6-12th]{ + min-width:50% +} +.minw-6,img[src~=minw-6]{ + min-width:32rem +} +.minw-60pct,img[src~=minw-60pct]{ + min-width:60% +} +.minw-7,img[src~=minw-7]{ + min-width:48rem +} +.minw-7-12th,img[src~=minw-7-12th]{ + min-width:58.33333333% +} +.minw-70pct,img[src~=minw-70pct]{ + min-width:70% +} +.minw-75pct,.minw-9-12th,img[src~=minw-75pct],img[src~=minw-9-12th]{ + min-width:75% +} +.minw-8,img[src~=minw-8]{ + min-width:64rem +} +.minw-8-12th,.minw-two-thirds,img[src~=minw-8-12th],img[src~=minw-two-thirds]{ + min-width:66.66666667% +} +.minw-80pct,img[src~=minw-80pct]{ + min-width:80% +} +.minw-9,img[src~=minw-9]{ + min-width:96rem +} +.minw-90pct,img[src~=minw-90pct]{ + min-width:90% +} +.ml-0,img[src~=ml-0]{ + margin-left:0 +} +.ml-1,img[src~=ml-1]{ + margin-left:.25rem +} +.ml-2,img[src~=ml-2]{ + margin-left:.5rem +} +.ml-3,img[src~=ml-3]{ + margin-left:1rem +} +.ml-4,img[src~=ml-4]{ + margin-left:2rem +} +.ml-5,img[src~=ml-5]{ + margin-left:4rem +} +.ml-6,img[src~=ml-6]{ + margin-left:8rem +} +.ml-7,img[src~=ml-7]{ + margin-left:16rem +} +.ml-8,img[src~=ml-8]{ + margin-left:32rem +} +.ml-9,img[src~=ml-9]{ + margin-left:64rem +} +.mr-0,img[src~=mr-0]{ + margin-right:0 +} +.mr-1,img[src~=mr-1]{ + margin-right:.25rem +} +.mr-2,img[src~=mr-2]{ + margin-right:.5rem +} +.mr-3,img[src~=mr-3]{ + margin-right:1rem +} +.mr-4,img[src~=mr-4]{ + margin-right:2rem +} +.mr-5,img[src~=mr-5]{ + margin-right:4rem +} +.mr-6,img[src~=mr-6]{ + margin-right:8rem +} +.mr-7,img[src~=mr-7]{ + margin-right:16rem +} +.mr-8,img[src~=mr-8]{ + margin-right:32rem +} +.mr-9,img[src~=mr-9]{ + margin-right:64rem +} +.mt-1,img[src~=mt-1]{ + margin-top:.25rem +} +.mt-2,img[src~=mt-2]{ + margin-top:.5rem +} +.mt-3,img[src~=mt-3]{ + margin-top:1rem +} +.mt-4,img[src~=mt-4]{ + margin-top:2rem +} +.mt-5,img[src~=mt-5]{ + margin-top:4rem +} +.mt-6,img[src~=mt-6]{ + margin-top:8rem +} +.mt-7,img[src~=mt-7]{ + margin-top:16rem +} +.mt-8,img[src~=mt-8]{ + margin-top:32rem +} +.mt-9,img[src~=mt-9]{ + margin-top:64rem +} +.mv-0,img[src~=mv-0]{ + margin-bottom:0; + margin-top:0 +} +.mv-1,img[src~=mv-1]{ + margin-bottom:.25rem; + margin-top:.25rem +} +.mv-2,img[src~=mv-2]{ + margin-bottom:.5rem; + margin-top:.5rem +} +.mv-3,img[src~=mv-3]{ + margin-bottom:1rem; + margin-top:1rem +} +.mv-4,img[src~=mv-4]{ + margin-bottom:2rem; + margin-top:2rem +} +.mv-5,img[src~=mv-5]{ + margin-bottom:4rem; + margin-top:4rem +} +.mv-6,img[src~=mv-6]{ + margin-bottom:8rem; + margin-top:8rem +} +.mv-7,img[src~=mv-7]{ + margin-bottom:16rem; + margin-top:16rem +} +.mv-8,img[src~=mv-8]{ + margin-bottom:32rem; + margin-top:32rem +} 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margin:0; + padding:.15em .25em +} +.remark-slide-content blockquote{ + border-left:.125em solid #dfe2e5; + color:#6a737d; + margin:0; + padding:0 .5em +} +.remark-slide-content code,.remark-slide-content kbd,.remark-slide-content pre,.remark-slide-content samp,.remark-slide-content tt{ + font-family: "Hack Regular", Menlo, "DejaVu Sans Mono", "Liberation Mono", Consolas, "Ubuntu Mono", "Courier New", "andale mono", "lucida console", monospace; +} +.remark-slide-content h1,.remark-slide-content h2,.remark-slide-content h3{ + font-family: "PT Sans", "Hack Regular", Arial, Helvetica, sans-serif; + font-weight:700 +} +.remark-slide-content h1{ + font-size:3rem +} +.remark-slide-content h2{ + font-size:1.8em; + font-size:2.75rem +} +.remark-slide-content h3{ + font-size:2.5rem +} +.maxw-100pct,img[src~=maxw-100pct]{ + max-width:100% +} +.remark-slide-content img[src~=smokescreen],.remark-slide-content.smokescreen>h1{ + background:rgba(0,0,0,.7) +} +.remark-slide-content pre{ + overflow:auto +} +.remark-slide-content pre>code{ + background:#f6f8fa; + border-radius:.4em; + padding:.5em +} +.remark-slide-content table{ + border-collapse:collapse; + border-spacing:0; + display:block; + overflow:auto; + width:100% +} +.remark-slide-content table td,.remark-slide-content table th{ + border:1px solid #dfe2e5; + display:table-cell; + padding:.15em .3em; + vertical-align:inherit +} +.remark-slide-content table th{ + font-weight:700 +} +.remark-slide-content table tr:nth-child(2n){ + background:#f6f8fa +} +.mt-0,img[src~=mt-0]{ + margin-top:0 +} +.remark-slide-content.debug-grid{ + background:url(data:image/png; + base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAICAYAAADED76LAAAAFElEQVR4AWPAC97/9x0eCsAEPgwAVLshdpENIxcAAAAASUVORK5CYII=) top left +} +.remark-slide-content.debug-grid-16{ + background:url(data:image/png; + base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAQCAYAAAAf8/9hAAAAMklEQVR4AWOgCLz/b0epAa6UGuBOqQHOQHLUgFEDnAbcBZ4UGwDOkiCnkIhdgNgNxAYAiYlD+8sEuo8AAAAASUVORK5CYII=) top left +} +.remark-slide-content.debug-grid-16-solid{ + background:#fff url(data:image/gif; + base64,R0lGODdhEAAQAPEAAADw/wDx/xXy/////ywAAAAAEAAQAAACIZyPKckYDQFsb6ZqD85jZ2+BkwiRFKehhqQCQgDHcgwEBQA7) top left +} +.remark-slide-content.debug-grid-8-solid{ + background:#fff url(data:image/gif; + base64,R0lGODdhCAAIAPEAAADw/wDx/////wAAACwAAAAACAAIAAACDZQvgaeb/lxbAIKA8y0AOw==) top left +} +.remark-slide-content.fit-h1 h1{ + height:1.25em; + overflow:hidden +} +.remark-slide-content.fogscreen>h1{ + background:rgba(255,255,255,.7) +} +.remark-slide-content.fogscreen>h1,.remark-slide-content.fogscreen>h2,.remark-slide-content.fogscreen>h3{ + color:#000; + text-shadow:4px 4px 12px rgba(0,0,0,.5),8px 8px 20px rgba(0,0,0,.2) +} +.remark-slide-content.fullbleed,.remark-slide-content.fullbleed>p{ + margin:0; + padding:0 +} +.dn,img[src~=dn]{ + display:none +} +.remark-slide-content.roomy h1{ + top:calc(50% - 2.5em) +} +.remark-slide-content.smokescreen>h1,.remark-slide-content.smokescreen>h2,.remark-slide-content.smokescreen>h3{ + color:#fff; + text-shadow:4px 4px 12px rgba(0,0,0,.8),8px 8px 20px rgba(0,0,0,.9) +} +.remark-slide-content.title.top h1{ + top:calc(681px*.3 - 2.5em) +} +.remark-slide-content.title.top h2{ + top:calc(681px*.3 - 1em) +} +.remark-slide-content.title.top h3{ + top:calc(681px*.3 - .5em) +} +.right-column{ + float:right; + padding-top:1em; + width:50% +} +.shadow-1,img[src~=shadow-1]{ + box-shadow:0 0 4px 2px rgba(0,0,0,.2) +} +.shadow-2,img[src~=shadow-2]{ + box-shadow:0 0 8px 2px rgba(0,0,0,.2) +} +.shadow-3,img[src~=shadow-3]{ + box-shadow:2px 2px 4px 2px rgba(0,0,0,.2) +} +.shadow-4,img[src~=shadow-4]{ + box-shadow:2px 2px 8px 0 rgba(0,0,0,.2) +} +.shadow-5,img[src~=shadow-5]{ + box-shadow:4px 4px 8px 0 rgba(0,0,0,.2) +} +.short img{ + border:0; + max-height:15em +} +.simple table{ + border-collapse:collapse; + width:100% +} +.simple table td{ + background:var(--light-bg-color); + color:#000 +} +.simple table tr:first-child th{ + border-bottom:1px solid #000; + border-top:1px solid #000; + padding:.5em +} +.maxw-75pct,.maxw-9-12th,.small img,img[src~=maxw-75pct],img[src~=maxw-9-12th]{ + max-width:75% +} +.smaller img{ + border:0; + max-width:60% +} +.sqltable table{ + border-collapse:collapse; + font-family: "Hack Regular", Menlo, "DejaVu Sans Mono", "Liberation Mono", Consolas, "Ubuntu Mono", "Courier New", "andale mono", "lucida console", monospace; +} +.sqltable table td,.sqltable table th{ + background:#fff; + border:1px solid #000; + border-radius:0; + color:#000; + padding:.5em +} +.sqltable table th{ + background:#eee; + text-align:center +} +.sqltable.smaller td,.sqltable.smaller th{ + padding:5px 1em +} +.static,img[src~=static]{ + position:static +} +.t-0,img[src~=t-0]{ + top:0 +} +.t-1,img[src~=t-1]{ + top:1rem +} +.t-1-12th,img[src~=t-1-12th]{ + top:8.33333333% +} +.t-10-12th,img[src~=t-10-12th]{ + top:83.33333333% +} +.t-100pct,img[src~=t-100pct]{ + top:100% +} +.t-10pct,img[src~=t-10pct]{ + top:10% +} +.t-11-12th,img[src~=t-11-12th]{ + top:91.66666667% +} +.t-2,img[src~=t-2]{ + top:2rem +} +.t-2-12th,img[src~=t-2-12th]{ + top:16.66666667% +} +.t-20pct,img[src~=t-20pct]{ + top:20% +} +.t-3,img[src~=t-3]{ + top:4rem +} +.t-3-12th,img[src~=t-3-12th]{ + top:25% +} +.t-30pct,img[src~=t-30pct]{ + top:30% +} +.t-33pct,img[src~=t-33pct]{ + top:33% +} +.t-34pct,img[src~=t-34pct]{ + top:34% +} +.t-4,img[src~=t-4]{ + top:8rem +} +.t-4-12th,.t-third,img[src~=t-4-12th],img[src~=t-third]{ + top:33.33333333% +} +.t-40pct,img[src~=t-40pct]{ + top:40% +} +.t-5,img[src~=t-5]{ + top:16rem +} +.t-5-12th,img[src~=t-5-12th]{ + top:41.66666667% +} +.t-50pct,.t-6-12th,img[src~=t-50pct],img[src~=t-6-12th]{ + top:50% +} +.t-6,img[src~=t-6]{ + top:32rem +} +.t-60pct,img[src~=t-60pct]{ + top:60% +} +.t-7,img[src~=t-7]{ + top:48rem +} +.t-7-12th,img[src~=t-7-12th]{ + top:58.33333333% +} +.t-70pct,img[src~=t-70pct]{ + 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e=r.gsub(t,""," ");return e=r.gsub(e,"&","&"),e=r.gsub(e,"<","<"),r.gsub(e,">",">")},p=function(e,i,r){i||(i=" ");var s=i.charAt(r);" "===s&&(s="SPACE");var n=f(i.substring(0,r))+''+s+""+f(i.substring(r+1));!function(t){u.warnings||(u.warnings=[]),u.warnings.push(t)}("Music Line:"+t.getNumLines()+":"+(r+1)+": "+e+": "+n),function(t){u.warningObjects||(u.warningObjects=[]),u.warningObjects.push(t)}({message:e,line:i,startChar:u.iChar+r,column:r})},m=new n(e,p,u,t);this.getWarnings=function(){return u.warnings},this.getWarningObjects=function(){return u.warningObjects};var g=function(t,i){if('"'===t.charAt(i)){var r=e.getBrackettedSubstring(t,i,5);if(r[2]||p("Missing the closing quote while parsing the chord symbol",t,i),r[0]>0&&r[1].length>0&&"^"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="above";else if(r[0]>0&&r[1].length>0&&"_"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="below";else if(r[0]>0&&r[1].length>0&&"<"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="left";else if(r[0]>0&&r[1].length>0&&">"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="right";else if(r[0]>0&&r[1].length>0&&"@"===r[1].charAt(0)){r[1]=r[1].substring(1);var s=e.getFloat(r[1]);0===s.digits&&p("Missing first position in absolutely positioned annotation.",t,i),r[1]=r[1].substring(s.digits),","!==r[1][0]&&p("Missing comma absolutely positioned annotation.",t,i),r[1]=r[1].substring(1);var n=e.getFloat(r[1]);0===n.digits&&p("Missing second position in absolutely positioned annotation.",t,i),r[1]=r[1].substring(n.digits);var a=e.skipWhiteSpace(r[1]);r[1]=r[1].substring(a),r[2]=null,r[3]={x:s.value,y:n.value}}else r[1]=r[1].replace(/([ABCDEFG0-9])b/g,"$1♭"),r[1]=r[1].replace(/([ABCDEFG0-9])#/g,"$1♯"),r[2]="default",r[1]=o.chordName(u,r[1]);return r}return[0,""]},v=["trill","lowermordent","uppermordent","mordent","pralltriller","accent","fermata","invertedfermata","tenuto","0","1","2","3","4","5","+","wedge","open","thumb","snap","turn","roll","breath","shortphrase","mediumphrase","longphrase","segno","coda","D.S.","D.C.","fine","slide","^","marcato","upbow","downbow","/","//","///","////","trem1","trem2","trem3","trem4","turnx","invertedturn","invertedturnx","trill(","trill)","arpeggio","xstem","mark","umarcato","style=normal","style=harmonic","style=rhythm","style=x"],b=["p","pp","f","ff","mf","mp","ppp","pppp","fff","ffff","sfz"],y=["crescendo(","crescendo)","diminuendo(","diminuendo)"],w=[["<","accent"],[">","accent"],["tr","trill"],["plus","+"],["emphasis","accent"],["^","umarcato"],["marcato","umarcato"]],x=[["<(","crescendo("],["<)","crescendo)"],[">(","diminuendo("],[">)","diminuendo)"]],k=function(t,i){var s=u.macros[t.charAt(i)];if(void 0!==s)return"!"!==s.charAt(0)&&"+"!==s.charAt(0)||(s=s.substring(1)),"!"!==s.charAt(s.length-1)&&"+"!==s.charAt(s.length-1)||(s=s.substring(0,s.length-1)),r.detect(v,function(t){return s===t})?[1,s]:r.detect(b,function(t){return s===t})?("hidden"===u.volumePosition&&(s=""),[1,s]):r.detect(y,function(t){return"hidden"===u.dynamicPosition&&(s=""),s===t})?[1,s]:(r.detect(u.ignoredDecorations,function(t){return s===t})||p("Unknown macro: "+s,t,i),[1,""]);switch(t.charAt(i)){case".":return[1,"staccato"];case"u":return[1,"upbow"];case"v":return[1,"downbow"];case"~":return[1,"irishroll"];case"!":case"+":var n=e.getBrackettedSubstring(t,i,5);return n[1].length>0&&("^"===n[1].charAt(0)||"_"===n[1].charAt(0))&&(n[1]=n[1].substring(1)),r.detect(v,function(t){return n[1]===t})?n:r.detect(b,function(t){return n[1]===t})?("hidden"===u.volumePosition&&(n[1]=""),n):r.detect(y,function(t){return n[1]===t})?("hidden"===u.dynamicPosition&&(n[1]=""),n):r.detect(w,function(t){return n[1]===t[0]&&(n[1]=t[1],!0)})?n:r.detect(x,function(t){return n[1]===t[0]&&(n[1]=t[1],!0)})?("hidden"===u.dynamicPosition&&(n[1]=""),n):"!"!==t.charAt(i)||1!==n[0]&&"!"===t.charAt(i+n[0]-1)?(p("Unknown decoration: "+n[1],t,i),n[1]="",n):[1,null];case"H":return[1,"fermata"];case"J":return[1,"slide"];case"L":return[1,"accent"];case"M":return[1,"mordent"];case"O":return[1,"coda"];case"P":return[1,"pralltriller"];case"R":return[1,"roll"];case"S":return[1,"segno"];case"T":return[1,"trill"]}return[0,0]},A=function(t,i){for(var r=i;e.isWhiteSpace(t.charAt(i));)i++;return[i-r]},T=function(t,i){var r=e.getBarLine(t,i);if(0===r.len)return[0,""];if(r.warn)return p(r.warn,t,i),[r.len,""];for(var s=0;s="2"&&t.charAt(i+1)<="9"?(void 0!==r.triplet?p("Can't nest triplets",t,i):(r.triplet=t.charAt(i+1)-"0",r.tripletQ=S[r.triplet],r.num_notes=r.triplet,i+2="1"&&t.charAt(i+4)<="9"?(r.num_notes=t.charAt(i+4)-"0",i+=3):p("expected number after the two colons after the triplet to mark the duration",t,i):i+3="1"&&t.charAt(i+3)<="9"?(r.tripletQ=t.charAt(i+3)-"0",i+4="1"&&t.charAt(i+5)<="9"&&(r.num_notes=t.charAt(i+5)-"0",i+=4):i+=2):p("expected number after the triplet to mark the duration",t,i))),i++):void 0===r.startSlur?r.startSlur=1:r.startSlur++),i++;return r.consumed=i-s,r},C=function(t,e){switch(t.charAt(e)){case">":return e"===t.charAt(e+1)?[2,1.75,.25]:[1,1.5,.5];case"<":return e"!==i.charAt(r))return s;r--,c="broken_rhythm";break;case">":case"<":if(!a(c))return null;if(!n)return s.endChar=r,s;var p=C(i,r);r+=p[0]-1,u.next_note_duration=p[2],s.duration=p[1]*s.duration,c="end_slur";break;default:return a(c)?(s.endChar=r,s):null}if(++r===i.length)return a(c)?(s.endChar=r,s):null}return null};function P(){var e={startChar:-1,endChar:-1};u.partForNextLine.title&&(e.part=u.partForNextLine),e.clef=u.currentVoice&&void 0!==u.staves[u.currentVoice.staffNum].clef?r.clone(u.staves[u.currentVoice.staffNum].clef):r.clone(u.clef);var i=u.currentVoice?u.currentVoice.scoreTranspose:0;if(e.key=a.standardKey(u.key.root+u.key.acc+u.key.mode,u.key.root,u.key.acc,i),e.key.mode=u.key.mode,u.key.impliedNaturals&&(e.key.impliedNaturals=u.key.impliedNaturals),u.key.explicitAccidentals)for(var s=0;s0&&(s[s.length-1].end_beam=!0):p("Unknown character '"+r[1].charAt(n)+"' while parsing grace note",t,i),n++)}if(s.length)return[r[0],s]}return[0]};function H(t,e){if("&"===t.charAt(e)){for(var i=e;t.charAt(e)&&":"!==t.charAt(e)&&"|"!==t.charAt(e);)e++;return[e-i,t.substring(i+1,e)]}return[0]}function z(t){var e=t.origMeter;return e&&"specified"===e.type&&e.value&&0!==e.value.length?parseInt(e.value[0].num,10)/parseInt(e.value[0].den,10):1}var I=function i(s){var n=m.parseHeader(s);n.regular&&function(i){m.resolveTempo(),u.is_in_header=!1;for(var s=0,n=u.iChar;e.isWhiteSpace(i.charAt(s))&&s0&&(s+=o[0],"V"===o[1]&&(a=!0));for(var h={},l=0;s0)s+=f[0],"V"===f[1]&&(a=!0);else{var v;for(a&&(P(),a=!1);;)if((v=e.eatWhiteSpace(i,s))>0&&(s+=v),s>0&&""===i.charAt(s-1)&&(v=m.letter_to_body_header(i,s))[0]>0&&("V"===v[1]&&P(),s=v[0],u.start_new_line=!1),(v=A(i,s))[0]>0&&(s+=v[0]),(v=g(i,s))[0]>0){h.chord||(h.chord=[]);var b=e.translateString(v[1]);b=b.replace(/;/g,"\n");for(var y=!1,w=0;w0&&(h.force_end_beam_last=!0),s+=x}else if((v=-1==="ABCDEFGabcdefgxyzZ[]|^_{".indexOf(i.charAt(s))?k(i,s):[0])[0]>0)null===v[1]?s+10&&(0===v[1].indexOf("style=")?h.style=v[1].substr(6):(void 0===h.decoration&&(h.decoration=[]),h.decoration.push(v[1]))),s+=v[0];else{if(!((v=L(i,s))[0]>0))break;h.gracenotes=v[1],s+=v[0]}if((v=T(i,s))[0]>0){l=0,void 0!==h.gracenotes&&(h.rest={type:"spacer"},h.duration=.125,u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+s,n+s+v[0],h),u.measureNotEmpty=!0,h={});var S={type:v[1]};0===S.type.length?p("Unknown bar type",i,s):(u.inEnding&&"bar_thin"!==S.type&&(S.endEnding=!0,u.inEnding=!1),v[2]&&(S.startEnding=v[2],u.inEnding&&(S.endEnding=!0),u.inEnding=!0),void 0!==h.decoration&&(S.decoration=h.decoration),void 0!==h.chord&&(S.chord=h.chord),S.startEnding&&void 0===u.barFirstEndingNum?u.barFirstEndingNum=u.currBarNumber:S.startEnding&&S.endEnding&&u.barFirstEndingNum?u.currBarNumber=u.barFirstEndingNum:S.endEnding&&(u.barFirstEndingNum=void 0),"bar_invisible"!==S.type&&u.measureNotEmpty&&(void 0===u.currentVoice||0===u.currentVoice.staffNum&&0===u.currentVoice.index)&&(u.currBarNumber++,u.barNumbers&&u.currBarNumber%u.barNumbers==0&&(S.barNumber=u.currBarNumber)),u.addFormattingOptions(h,t.formatting,"bar"),t.appendElement("bar",n+s,n+s+v[0],S),u.measureNotEmpty=!1,h={}),s+=v[0],u.currentVoice&&(u.currentVoice.staffNum,u.currentVoice.index)}else if("&"===i[s])(v=H(i,s))[0]>0&&(t.appendElement("overlay",n,n+1,{}),s+=1,l++);else{if((v=N(i,s)).consumed>0&&(void 0!==v.startSlur&&(h.startSlur=v.startSlur),void 0!==v.triplet&&(c>0?p("Can't nest triplets",i,s):(h.startTriplet=v.triplet,h.tripletMultiplier=v.tripletQ/v.triplet,c=void 0===v.num_notes?v.triplet:v.num_notes)),s+=v.consumed),"["===i.charAt(s)){var E=s;s++;for(var M=null,I=!1,O=!1;!O;){var D=k(i,s);D[0]>0&&(s+=D[0]);var Y=B(i,s,{},!1);if(null!==Y)D[0]>0&&0!==D[1].indexOf("style=")&&(void 0===h.decoration&&(h.decoration=[]),h.decoration.push(D[1])),Y.end_beam&&(h.end_beam=!0,delete Y.end_beam),void 0===h.pitches?(h.duration=Y.duration,h.pitches=[Y]):h.pitches.push(Y),delete Y.duration,D[0]>0&&0===D[1].indexOf("style=")&&(h.pitches[h.pitches.length-1].style=D[1].substr(6)),u.inTieChord[h.pitches.length]&&(Y.endTie=!0,u.inTieChord[h.pitches.length]=void 0),Y.startTie&&(u.inTieChord[h.pitches.length]=!0),s=Y.endChar,delete Y.endChar;else if(" "===i.charAt(s))p("Spaces are not allowed in chords",i,s),s++;else{if(s0&&0==--c&&(h.endTriplet=!0);for(var F=!1;s":case"<":var W=C(i,s);s+=W[0]-1,u.next_note_duration=W[2],M?M*=W[1]:M=W[1];break;case"1":case"2":case"3":case"4":case"5":case"6":case"7":case"8":case"9":case"/":var V=e.getFraction(i,s);M=V.value,s=V.index," "===i.charAt(s)&&(I=!0),"-"===i.charAt(s)||")"===i.charAt(s)||" "===i.charAt(s)||"<"===i.charAt(s)||">"===i.charAt(s)?s--:F=!0;break;default:F=!0}F||s++}}else p("Expected ']' to end the chords",i,s);void 0!==h.pitches&&(null!==M&&(h.duration=h.duration*M,I&&_(h)),u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+E,n+s,h),u.measureNotEmpty=!0,h={}),O=!0}}}else{var R={},G=B(i,s,R,!0);void 0!==R.endTie&&(u.inTie[l]=!0),null!==G&&(void 0!==G.pitch?(h.pitches=[{}],void 0!==G.accidental&&(h.pitches[0].accidental=G.accidental),h.pitches[0].pitch=G.pitch,G.midipitch&&(h.pitches[0].midipitch=G.midipitch),void 0!==G.endSlur&&(h.pitches[0].endSlur=G.endSlur),void 0!==G.endTie&&(h.pitches[0].endTie=G.endTie),void 0!==G.startSlur&&(h.pitches[0].startSlur=G.startSlur),void 0!==h.startSlur&&(h.pitches[0].startSlur=h.startSlur),void 0!==G.startTie&&(h.pitches[0].startTie=G.startTie),void 0!==h.startTie&&(h.pitches[0].startTie=h.startTie)):(h.rest=G.rest,void 0!==G.endSlur&&(h.endSlur=G.endSlur),void 0!==G.endTie&&(h.rest.endTie=G.endTie),void 0!==G.startSlur&&(h.startSlur=G.startSlur),void 0!==G.startTie&&(h.rest.startTie=G.startTie),void 0!==h.startTie&&(h.rest.startTie=h.startTie)),void 0!==G.chord&&(h.chord=G.chord),void 0!==G.duration&&(h.duration=G.duration),void 0!==G.decoration&&(h.decoration=G.decoration),void 0!==G.graceNotes&&(h.graceNotes=G.graceNotes),delete h.startSlur,u.inTie[l]&&(void 0!==h.pitches?(h.pitches[0].endTie=!0,u.inTie[l]=!1):"spacer"!==h.rest.type&&(h.rest.endTie=!0,u.inTie[l]=!1)),(G.startTie||h.startTie)&&(u.inTie[l]=!0),s=G.endChar,c>0&&0==--c&&(h.endTriplet=!0),G.end_beam&&_(h),h.rest&&"rest"===h.rest.type&&1===h.duration&&z(u)<=1&&(h.rest.type="whole",h.duration=z(u)),u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+d,n+s,h),u.measureNotEmpty=!0,h={})}s===d&&(" "!==i.charAt(s)&&"`"!==i.charAt(s)&&p("Unknown character ignored",i,s),s++)}}}}}(n.str),n.newline&&P(),n.words&&function(t,i){if(t){"-"!==(i=r.strip(i)).charAt(i.length-1)&&(i+=" ");for(var s=[],n=0,a=!1,c=function(t){var c=r.strip(i.substring(n,t));if(n=t+1,c.length>0){a&&(c=r.gsub(c,"~"," "));var o=i.charAt(t);return"_"!==o&&"-"!==o&&(o=" "),s.push({syllable:e.translateString(c),divider:o}),a=!1,!0}return!1},o=0;o0&&(r.last(s).divider="-",s.push({skip:!0,to:"next"}));break;case"_":c(o),s.push({skip:!0,to:"slur"});break;case"*":c(o),s.push({skip:!0,to:"next"});break;case"|":c(o),s.push({skip:!0,to:"bar"});break;case"~":a=!0}r.each(t,function(t){if(0!==s.length)if(s[0].skip){switch(s[0].to){case"next":case"slur":"note"===t.el_type&&null!==t.pitches&&s.shift();break;case"bar":"bar"===t.el_type&&s.shift()}"bar"!==t.el_type&&(void 0===t.lyric?t.lyric=[{syllable:"",divider:" "}]:t.lyric.push({syllable:"",divider:" "}))}else if("note"===t.el_type&&void 0===t.rest){var e=s.shift();e.syllable&&(e.syllable=e.syllable.replace(/ +/g," ")),void 0===t.lyric?t.lyric=[e]:t.lyric.push(e)}})}else p("Can't add words before the first line of music",t,0)}(t.getCurrentVoice(),s.substring(2)),n.symbols&&function(t,i){if(t){"-"!==(i=r.strip(i)).charAt(i.length-1)&&(i+=" ");for(var s=[],n=0,a=!1,c=function(t){var c=r.strip(i.substring(n,t));if(n=t+1,c.length>0){a&&(c=r.gsub(c,"~"," "));var o=i.charAt(t);return"_"!==o&&"-"!==o&&(o=" "),s.push({syllable:e.translateString(c),divider:o}),a=!1,!0}return!1},o=0;o0&&(r.last(s).divider="-",s.push({skip:!0,to:"next"}));break;case"_":c(o),s.push({skip:!0,to:"slur"});break;case"*":c(o),s.push({skip:!0,to:"next"});break;case"|":c(o),s.push({skip:!0,to:"bar"});break;case"~":a=!0}r.each(t,function(t){if(0!==s.length)if(s[0].skip)switch(s[0].to){case"next":case"slur":"note"===t.el_type&&null!==t.pitches&&s.shift();break;case"bar":"bar"===t.el_type&&s.shift()}else if("note"===t.el_type&&void 0===t.rest){var e=s.shift();void 0===t.lyric?t.lyric=[e]:t.lyric.push(e)}})}else p("Can't add symbols before the first line of music",t,0)}(t.getCurrentVoice(),s.substring(2)),n.recurse&&i(n.str)};function O(t,e){t.push({el_type:"hint"});for(var i=0;i0&&"-"===g.token?(m=!0,h[h.length-1]=h[h.length-1]+g.token):m?(m=!1,h[h.length-1]=h[h.length-1]+g.token):h.push(g.token):"number"===g.type?(o?e("Font size specified twice in font definition.",r,s):o=g.token,p="modifier"):"bold"===v?l="bold":"italic"===v?d="italic":"underline"===v?u="underline":"box"===v?(a[n]?f=!0:e('This font style doesn\'t support "box"',r,s),p="finished"):"utf"===v?(g=t.shift(),p="size"):e("Unknown parameter "+g.token+" in font definition.",r,s);break;case"size":"number"===g.type?o?e("Font size specified twice in font definition.",r,s):o=g.token:e("Expected font size in font definition.",r,s),p="modifier";break;case"modifier":"bold"===v?l="bold":"italic"===v?d="italic":"underline"===v?u="underline":"box"===v?(a[n]?f=!0:e('This font style doesn\'t support "box"',r,s),p="finished"):e("Unknown parameter "+g.token+" in font definition.",r,s);break;case"finished":e('Extra characters found after "box" in font definition.',r,s)}}void 0===o?i?o=i.size:(e("Must specify the size of the font since there is no default value.",r,s),o=12):o=parseFloat(o);var b=function(t){switch(t){case"Arial-Italic":return{face:"Arial",weight:"normal",style:"italic",decoration:"none"};case"Arial-Bold":return{face:"Arial",weight:"bold",style:"normal",decoration:"none"};case"Bookman-Demi":return{face:"Bookman,serif",weight:"bold",style:"normal",decoration:"none"};case"Bookman-DemiItalic":return{face:"Bookman,serif",weight:"bold",style:"italic",decoration:"none"};case"Bookman-Light":return{face:"Bookman,serif",weight:"normal",style:"normal",decoration:"none"};case"Bookman-LightItalic":return{face:"Bookman,serif",weight:"normal",style:"italic",decoration:"none"};case"Courier":return{face:'"Courier New"',weight:"normal",style:"normal",decoration:"none"};case"Courier-Oblique":return{face:'"Courier New"',weight:"normal",style:"italic",decoration:"none"};case"Courier-Bold":return{face:'"Courier New"',weight:"bold",style:"normal",decoration:"none"};case"Courier-BoldOblique":return{face:'"Courier New"',weight:"bold",style:"italic",decoration:"none"};case"AvantGarde-Book":return{face:"AvantGarde,Arial",weight:"normal",style:"normal",decoration:"none"};case"AvantGarde-BookOblique":return{face:"AvantGarde,Arial",weight:"normal",style:"italic",decoration:"none"};case"AvantGarde-Demi":case"Avant-Garde-Demi":return{face:"AvantGarde,Arial",weight:"bold",style:"normal",decoration:"none"};case"AvantGarde-DemiOblique":return{face:"AvantGarde,Arial",weight:"bold",style:"italic",decoration:"none"};case"Helvetica-Oblique":return{face:"Helvetica",weight:"normal",style:"italic",decoration:"none"};case"Helvetica-Bold":return{face:"Helvetica",weight:"bold",style:"normal",decoration:"none"};case"Helvetica-BoldOblique":return{face:"Helvetica",weight:"bold",style:"italic",decoration:"none"};case"Helvetica-Narrow":return{face:'"Helvetica Narrow",Helvetica',weight:"normal",style:"normal",decoration:"none"};case"Helvetica-Narrow-Oblique":return{face:'"Helvetica Narrow",Helvetica',weight:"normal",style:"italic",decoration:"none"};case"Helvetica-Narrow-Bold":return{face:'"Helvetica Narrow",Helvetica',weight:"bold",style:"normal",decoration:"none"};case"Helvetica-Narrow-BoldOblique":return{face:'"Helvetica Narrow",Helvetica',weight:"bold",style:"italic",decoration:"none"};case"Palatino-Roman":return{face:"Palatino",weight:"normal",style:"normal",decoration:"none"};case"Palatino-Italic":return{face:"Palatino",weight:"normal",style:"italic",decoration:"none"};case"Palatino-Bold":return{face:"Palatino",weight:"bold",style:"normal",decoration:"none"};case"Palatino-BoldItalic":return{face:"Palatino",weight:"bold",style:"italic",decoration:"none"};case"NewCenturySchlbk-Roman":return{face:'"New Century",serif',weight:"normal",style:"normal",decoration:"none"};case"NewCenturySchlbk-Italic":return{face:'"New Century",serif',weight:"normal",style:"italic",decoration:"none"};case"NewCenturySchlbk-Bold":return{face:'"New Century",serif',weight:"bold",style:"normal",decoration:"none"};case"NewCenturySchlbk-BoldItalic":return{face:'"New Century",serif',weight:"bold",style:"italic",decoration:"none"};case"Times":case"Times-Roman":case"Times-Narrow":case"Times-Courier":case"Times-New-Roman":return{face:'"Times New Roman"',weight:"normal",style:"normal",decoration:"none"};case"Times-Italic":case"Times-Italics":return{face:'"Times New Roman"',weight:"normal",style:"italic",decoration:"none"};case"Times-Bold":return{face:'"Times New Roman"',weight:"bold",style:"normal",decoration:"none"};case"Times-BoldItalic":return{face:'"Times New Roman"',weight:"bold",style:"italic",decoration:"none"};case"ZapfChancery-MediumItalic":return{face:'"Zapf Chancery",cursive,serif',weight:"normal",style:"normal",decoration:"none"};default:return null}}(h=h.join(" ")),y={};return b?(y.face=b.face,y.weight=b.weight,y.style=b.style,y.decoration=b.decoration,y.size=o,f&&(y.box=!0),y):(y.face=h,y.weight=l,y.style=d,y.decoration=u,y.size=o,f&&(y.box=!0),y)},o=function(t,e,r){return 0===e.length?'Directive "'+t+'" requires a font as a parameter.':(i[t]=c(e,i[t],r,0,t),i.is_in_header&&(n.formatting[t]=i[t]),null)},h=function(t,e){var i="";r.each(e,function(t){i+=t.token});var s=parseFloat(i);if(isNaN(s)||0===s)return'Directive "'+t+'" requires a number as a parameter.';n.formatting.scale=s},l=function(t,e,r,s,n){if(1!==r.length||"number"!==r[0].type)return'Directive "'+e+'" requires a number as a parameter.';var a=r[0].intt;return void 0!==s&&an?'Directive "'+e+'" requires a number less than or equal to '+n+" as a parameter.":(i[t]=a,null)},d=function(t,e,r){var s=l(t,e,r,0,1);return null!==s?s:(i[t]=1===i[t],null)},u=function(t,e,r,s){if(1!==r.length)return'Directive "'+e+'" requires one of [ '+s.join(", ")+" ] as a parameter.";for(var n=r[0].token,a=!1,c=0;!a&&c1&&i.setfont){for(var r=[{text:e[0]}],s=1;s1)return r}return t};var A=["auto","above","below","hidden"];s.addDirective=function(a){var T=t.tokenize(a,0,a.length);if(0===T.length||"alpha"!==T[0].type)return null;var S=a.substring(a.indexOf(T[0].token)+T[0].token.length);S=t.stripComment(S);var N=T.shift().token.toLowerCase(),C="";switch(N){case"bagpipes":n.formatting.bagpipes=!0;break;case"flatbeams":n.formatting.flatbeams=!0;break;case"landscape":i.landscape=!0;break;case"papersize":i.papersize=S;break;case"slurgraces":n.formatting.slurgraces=!0;break;case"stretchlast":n.formatting.stretchlast=!0;break;case"titlecaps":i.titlecaps=!0;break;case"titleleft":n.formatting.titleleft=!0;break;case"measurebox":n.formatting.measurebox=!0;break;case"vocal":return u("vocalPosition",N,T,A);case"dynamic":return u("dynamicPosition",N,T,A);case"gchord":return u("chordPosition",N,T,A);case"ornament":return u("ornamentPosition",N,T,A);case"volume":return u("volumePosition",N,T,A);case"botmargin":case"botspace":case"composerspace":case"indent":case"leftmargin":case"linesep":case"musicspace":case"partsspace":case"pageheight":case"pagewidth":case"rightmargin":case"staffsep":case"staffwidth":case"subtitlespace":case"sysstaffsep":case"systemsep":case"textspace":case"titlespace":case"topmargin":case"topspace":case"vocalspace":case"wordsspace":return function(e,i){var r=t.getMeasurement(i);return 0===r.used||0!==i.length?'Directive "'+e+'" requires a measurement as a parameter.':(n.formatting[e]=r.value,null)}(N,T);case"voicescale":if(1!==T.length||"number"!==T[0].type)return"voicescale requires one float as a parameter";var _=T.shift();return i.currentVoice&&(i.currentVoice.scale=_.floatt,n.changeVoiceScale(i.currentVoice.scale)),null;case"vskip":var E=function(e,i){var r=t.getMeasurement(i);return 0===r.used||0!==i.length?{error:'Directive "'+e+'" requires a measurement as a parameter.'}:r.value}(N,T);return E.error?E.error:(n.addSpacing(E),null);case"scale":h(N,T);break;case"sep":if(0===T.length)n.addSeparator();else{var M=t.getMeasurement(T);if(0===M.used)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var B=M.value;if(0===(M=t.getMeasurement(T)).used)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var P=M.value;if(0===(M=t.getMeasurement(T)).used||0!==T.length)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var L=M.value;n.addSeparator(B,P,L)}break;case"barsperstaff":if(null!==(C=l("barsperstaff",N,T)))return C;break;case"staffnonote":if(1!==T.length)return"Directive staffnonote requires one parameter: 0 or 1";if("0"===T[0].token)i.staffnonote=!0;else{if("1"!==T[0].token)return"Directive staffnonote requires one parameter: 0 or 1 (received "+T[0].token+")";i.staffnonote=!1}break;case"printtempo":if(null!==(C=d("printTempo",N,T)))return C;break;case"partsbox":if(null!==(C=d("partsBox",N,T)))return C;i.partsfont.box=i.partsBox;break;case"measurenb":case"barnumbers":if(null!==(C=l("barNumbers",N,T)))return C;break;case"begintext":i.inTextBlock=!0;break;case"continueall":i.continueall=!0;break;case"beginps":i.inPsBlock=!0,e("Postscript ignored",a,0);break;case"deco":S.length>0&&i.ignoredDecorations.push(S.substring(0,S.indexOf(" "))),e("Decoration redefinition ignored",a,0);break;case"text":var H=t.translateString(S);n.addText(s.parseFontChangeLine(H));break;case"center":var z=t.translateString(S);n.addCentered(s.parseFontChangeLine(z));break;case"font":break;case"setfont":var I=t.tokenize(S,0,S.length);if(I.length>=4&&"-"===I[0].token&&"number"===I[1].type){var O=parseInt(I[1].token);O>=1&&O<=4&&(i.setfont||(i.setfont=[]),I.shift(),I.shift(),i.setfont[O]=c(I,i.setfont[O],a,0,"setfont"))}break;case"gchordfont":case"partsfont":case"tripletfont":case"vocalfont":case"textfont":case"annotationfont":case"historyfont":case"infofont":case"measurefont":case"repeatfont":case"wordsfont":return o(N,T,a);case"composerfont":case"subtitlefont":case"tempofont":case"titlefont":case"voicefont":case"footerfont":case"headerfont":return function(t,e,i){return 0===e.length?'Directive "'+t+'" requires a font as a parameter.':(n.formatting[t]=c(e,n.formatting[t],i,0,t),null)}(N,T,a);case"barlabelfont":case"barnumberfont":case"barnumfont":return o("measurefont",T,a);case"staves":case"score":i.score_is_present=!0;for(var D,Y=function(t,e,s,n,a){(e||0===i.staves.length)&&i.staves.push({index:i.staves.length,numVoices:0});var c=r.last(i.staves);void 0!==s&&(c.bracket=s),void 0!==n&&(c.brace=n),a&&(c.connectBarLines="end"),void 0===i.voices[t]&&(i.voices[t]={staffNum:c.index,index:c.numVoices},c.numVoices++)},F=!1,W=!1,V=!1,R=!1,G=!1,q=!1,j=!1,X=function(){if(j=!0,D){var t="start";D.staffNum>0&&("start"!==i.staves[D.staffNum-1].connectBarLines&&"continue"!==i.staves[D.staffNum-1].connectBarLines||(t="continue")),i.staves[D.staffNum].connectBarLines=t}};T.length;){var U=T.shift();switch(U.token){case"(":F?e("Can't nest parenthesis in %%score",a,U.start):(F=!0,R=!0);break;case")":!F||R?e("Unexpected close parenthesis in %%score",a,U.start):F=!1;break;case"[":W?e("Can't nest brackets in %%score",a,U.start):(W=!0,G=!0);break;case"]":!W||G?e("Unexpected close bracket in %%score",a,U.start):(W=!1,i.staves[D.staffNum].bracket="end");break;case"{":V?e("Can't nest braces in %%score",a,U.start):(V=!0,q=!0);break;case"}":!V||q?e("Unexpected close brace in %%score",a,U.start):(V=!1,i.staves[D.staffNum].brace="end");break;case"|":X();break;default:for(var K="";("alpha"===U.type||"number"===U.type)&&(K+=U.token,U.continueId);)U=T.shift();Y(K,!F||R,G?"start":W?"continue":void 0,q?"start":V?"continue":void 0,j),R=!1,G=!1,q=!1,j=!1,D=i.voices[K],"staves"===N&&X()}}break;case"newpage":var Q=t.getInt(S);n.addNewPage(0===Q.digits?-1:Q.value);break;case"abc":var Z=S.split(" ");switch(Z[0]){case"-copyright":case"-creator":case"-edited-by":case"-version":case"-charset":var $=Z.shift();n.addMetaText(N+$,Z.join(" "));break;default:return"Unknown directive: "+N+Z[0]}break;case"header":case"footer":var J=t.getMeat(S,0,S.length);'"'===(J=S.substring(J.start,J.end)).charAt(0)&&'"'===J.charAt(J.length-1)&&(J=J.substring(1,J.length-1));var tt=J.split("\t"),et={};et=1===tt.length?{left:"",center:tt[0],right:""}:2===tt.length?{left:tt[0],center:tt[1],right:""}:{left:tt[0],center:tt[1],right:tt[2]},tt.length>3&&e("Too many tabs in "+N+": "+tt.length+" found.",S,0),n.addMetaTextObj(N,et);break;case"midi":var it=t.tokenize(S,0,S.length,!0);it.length>0&&"="===it[0].token&&it.shift(),0===it.length?e("Expected midi command",S,0):function(t,i,r){var s=t.shift().token,n=[];if(f.indexOf(s)>=0)0!==t.length&&e("Unexpected parameter in MIDI "+s,r,0);else if(p.indexOf(s)>=0)1!==t.length?e("Expected one parameter in MIDI "+s,r,0):n.push(t[0].token);else if(m.indexOf(s)>=0)1!==t.length?e("Expected one parameter in MIDI "+s,r,0):"number"!==t[0].type?e("Expected one integer parameter in MIDI "+s,r,0):n.push(t[0].intt);else if(g.indexOf(s)>=0)1!==t.length&&2!==t.length?e("Expected one or two parameters in MIDI "+s,r,0):"number"!==t[0].type?e("Expected integer parameter in MIDI "+s,r,0):2===t.length&&"number"!==t[1].type?e("Expected integer parameter in MIDI "+s,r,0):(n.push(t[0].intt),2===t.length&&n.push(t[1].intt));else if(v.indexOf(s)>=0)2!==t.length?e("Expected two parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type?e("Expected two integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt));else if(w.indexOf(s)>=0)2!==t.length?e("Expected two parameters in MIDI "+s,r,0):"alpha"!==t[0].type||"number"!==t[1].type?e("Expected one string and one integer parameters in MIDI "+s,r,0):(n.push(t[0].token),n.push(t[1].intt));else if("drummap"===s)2===t.length&&"alpha"===t[0].type&&"number"===t[1].type?(i.formatting||(i.formatting={}),i.formatting.midi||(i.formatting.midi={}),i.formatting.midi.drummap||(i.formatting.midi.drummap={}),i.formatting.midi.drummap[t[0].token]=t[1].intt,n=i.formatting.midi.drummap):3===t.length&&"punct"===t[0].type&&"alpha"===t[1].type&&"number"===t[2].type?(i.formatting||(i.formatting={}),i.formatting.midi||(i.formatting.midi={}),i.formatting.midi.drummap||(i.formatting.midi.drummap={}),i.formatting.midi.drummap[t[0].token+t[1].token]=t[2].intt,n=i.formatting.midi.drummap):e("Expected one note name and one integer parameter in MIDI "+s,r,0);else if(x.indexOf(s)>=0)3!==t.length?e("Expected fraction parameter in MIDI "+s,r,0):"number"!==t[0].type||"/"!==t[1].token||"number"!==t[2].type?e("Expected fraction parameter in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[2].intt));else if(b.indexOf(s)>=0)4!==t.length?e("Expected four parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type||"number"!==t[2].type||"number"!==t[3].type?e("Expected four integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt),n.push(t[2].intt),n.push(t[3].intt));else if(y.indexOf(s)>=0)5!==t.length?e("Expected five parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type||"number"!==t[2].type||"number"!==t[3].type||"number"!==t[4].type?e("Expected five integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt),n.push(t[2].intt),n.push(t[3].intt),n.push(t[4].intt));else if(g.indexOf(s)>=0)1!==t.length||4!==t.length?e("Expected one or two parameters in MIDI "+s,r,0):"number"!==t[0].type?e("Expected integer parameter in MIDI "+s,r,0):4===t.length?("octave"!==t[1].token&&e("Expected octave parameter in MIDI "+s,r,0),"="!==t[2].token&&e("Expected octave parameter in MIDI "+s,r,0),"number"!==t[3].type&&e("Expected integer parameter for octave in MIDI "+s,r,0)):(n.push(t[0].intt),4===t.length&&n.push(t[3].intt));else if(k.indexOf(s)>=0)if(t.length<2)e("Expected string parameter and at least one integer parameter in MIDI "+s,r,0);else if("alpha"!==t[0].type)e("Expected string parameter and at least one integer parameter in MIDI "+s,r,0);else{var a=t.shift();for(n.push(a.token);t.length>0;)"number"!==(a=t.shift()).type&&e("Expected integer parameter in MIDI "+s,r,0),n.push(a.intt)}i.hasBeginMusic()?i.appendElement("midi",-1,-1,{cmd:s,params:n}):(void 0===i.formatting.midi&&(i.formatting.midi={}),i.formatting.midi[s]=n)}(it,n,S);break;case"map":case"percmap":case"playtempo":case"auquality":case"continuous":case"nobarcheck":n.formatting[N]=S;break;default:return"Unknown directive: "+N}return null},s.globalFormatting=function(r){for(var s in r)if(r.hasOwnProperty(s)){var n,a=""+r[s],c=t.tokenize(a,0,a.length);switch(s){case"titlefont":case"gchordfont":case"composerfont":case"footerfont":case"headerfont":case"historyfont":case"infofont":case"measurefont":case"partsfont":case"repeatfont":case"subtitlefont":case"tempofont":case"textfont":case"voicefont":case"tripletfont":case"vocalfont":case"wordsfont":case"annotationfont":o(s,c,a);break;case"scale":h(s,c);break;case"partsbox":null!==(n=d("partsBox",s,c))&&e(n),i.partsfont.box=i.partsBox;break;default:e("Formatting directive unrecognized: ",s,0)}}}}(),t.exports=s},function(t,e,i){"use strict";var r=i(0),s=i(8),n=i(11),a={};!function(){var t,e,i,c;a.initialize=function(r,s,n,a){t=r,e=s,i=n,c=a},a.standardKey=function(t,e,r,s){var a={acc:"sharp",note:"f"},c={acc:"sharp",note:"c"},o={acc:"sharp",note:"g"},h={acc:"sharp",note:"d"},l={acc:"sharp",note:"A"},d={acc:"sharp",note:"e"},u={acc:"sharp",note:"B"},f={acc:"flat",note:"B"},p={acc:"flat",note:"e"},m={acc:"flat",note:"A"},g={acc:"flat",note:"d"},v={acc:"flat",note:"G"},b={acc:"flat",note:"c"},y={acc:"flat",note:"F"},w={"C#":[a,c,o,h,l,d,u],"A#m":[a,c,o,h,l,d,u],"G#Mix":[a,c,o,h,l,d,u],"D#Dor":[a,c,o,h,l,d,u],"E#Phr":[a,c,o,h,l,d,u],"F#Lyd":[a,c,o,h,l,d,u],"B#Loc":[a,c,o,h,l,d,u],"F#":[a,c,o,h,l,d],"D#m":[a,c,o,h,l,d],"C#Mix":[a,c,o,h,l,d],"G#Dor":[a,c,o,h,l,d],"A#Phr":[a,c,o,h,l,d],BLyd:[a,c,o,h,l,d],"E#Loc":[a,c,o,h,l,d],B:[a,c,o,h,l],"G#m":[a,c,o,h,l],"F#Mix":[a,c,o,h,l],"C#Dor":[a,c,o,h,l],"D#Phr":[a,c,o,h,l],ELyd:[a,c,o,h,l],"A#Loc":[a,c,o,h,l],E:[a,c,o,h],"C#m":[a,c,o,h],BMix:[a,c,o,h],"F#Dor":[a,c,o,h],"G#Phr":[a,c,o,h],ALyd:[a,c,o,h],"D#Loc":[a,c,o,h],A:[a,c,o],"F#m":[a,c,o],EMix:[a,c,o],BDor:[a,c,o],"C#Phr":[a,c,o],DLyd:[a,c,o],"G#Loc":[a,c,o],D:[a,c],Bm:[a,c],AMix:[a,c],EDor:[a,c],"F#Phr":[a,c],GLyd:[a,c],"C#Loc":[a,c],G:[a],Em:[a],DMix:[a],ADor:[a],BPhr:[a],CLyd:[a],"F#Loc":[a],C:[],Am:[],GMix:[],DDor:[],EPhr:[],FLyd:[],BLoc:[],F:[f],Dm:[f],CMix:[f],GDor:[f],APhr:[f],BbLyd:[f],ELoc:[f],Bb:[f,p],Gm:[f,p],FMix:[f,p],CDor:[f,p],DPhr:[f,p],EbLyd:[f,p],ALoc:[f,p],Eb:[f,p,m],Cm:[f,p,m],BbMix:[f,p,m],FDor:[f,p,m],GPhr:[f,p,m],AbLyd:[f,p,m],DLoc:[f,p,m],Ab:[f,p,m,g],Fm:[f,p,m,g],EbMix:[f,p,m,g],BbDor:[f,p,m,g],CPhr:[f,p,m,g],DbLyd:[f,p,m,g],GLoc:[f,p,m,g],Db:[f,p,m,g,v],Bbm:[f,p,m,g,v],AbMix:[f,p,m,g,v],EbDor:[f,p,m,g,v],FPhr:[f,p,m,g,v],GbLyd:[f,p,m,g,v],CLoc:[f,p,m,g,v],Gb:[f,p,m,g,v,b],Ebm:[f,p,m,g,v,b],DbMix:[f,p,m,g,v,b],AbDor:[f,p,m,g,v,b],BbPhr:[f,p,m,g,v,b],CbLyd:[f,p,m,g,v,b],FLoc:[f,p,m,g,v,b],Cb:[f,p,m,g,v,b,y],Abm:[f,p,m,g,v,b,y],GbMix:[f,p,m,g,v,b,y],DbDor:[f,p,m,g,v,b,y],EbPhr:[f,p,m,g,v,b,y],FbLyd:[f,p,m,g,v,b,y],BbLoc:[f,p,m,g,v,b,y],"A#":[f,p],"B#":[],"D#":[f,p,m],"E#":[f],"G#":[f,p,m,g],Gbm:[a,c,o,h,l,d,u]};return n.keySignature(i,w,t,e,r,s)};var o={treble:{clef:"treble",pitch:4,mid:0},"treble+8":{clef:"treble+8",pitch:4,mid:0},"treble-8":{clef:"treble-8",pitch:4,mid:0},"treble^8":{clef:"treble+8",pitch:4,mid:0},treble_8:{clef:"treble-8",pitch:4,mid:0},treble1:{clef:"treble",pitch:2,mid:2},treble2:{clef:"treble",pitch:4,mid:0},treble3:{clef:"treble",pitch:6,mid:-2},treble4:{clef:"treble",pitch:8,mid:-4},treble5:{clef:"treble",pitch:10,mid:-6},perc:{clef:"perc",pitch:6,mid:0},none:{clef:"none",mid:0},bass:{clef:"bass",pitch:8,mid:-12},"bass+8":{clef:"bass+8",pitch:8,mid:-12},"bass-8":{clef:"bass-8",pitch:8,mid:-12},"bass^8":{clef:"bass+8",pitch:8,mid:-12},bass_8:{clef:"bass-8",pitch:8,mid:-12},"bass+16":{clef:"bass",pitch:8,mid:-12},"bass-16":{clef:"bass",pitch:8,mid:-12},"bass^16":{clef:"bass",pitch:8,mid:-12},bass_16:{clef:"bass",pitch:8,mid:-12},bass1:{clef:"bass",pitch:2,mid:-6},bass2:{clef:"bass",pitch:4,mid:-8},bass3:{clef:"bass",pitch:6,mid:-10},bass4:{clef:"bass",pitch:8,mid:-12},bass5:{clef:"bass",pitch:10,mid:-14},tenor:{clef:"alto",pitch:8,mid:-8},tenor1:{clef:"alto",pitch:2,mid:-2},tenor2:{clef:"alto",pitch:4,mid:-4},tenor3:{clef:"alto",pitch:6,mid:-6},tenor4:{clef:"alto",pitch:8,mid:-8},tenor5:{clef:"alto",pitch:10,mid:-10},alto:{clef:"alto",pitch:6,mid:-6},alto1:{clef:"alto",pitch:2,mid:-2},alto2:{clef:"alto",pitch:4,mid:-4},alto3:{clef:"alto",pitch:6,mid:-6},alto4:{clef:"alto",pitch:8,mid:-8},alto5:{clef:"alto",pitch:10,mid:-10},"alto+8":{clef:"alto+8",pitch:6,mid:-6},"alto-8":{clef:"alto-8",pitch:6,mid:-6},"alto^8":{clef:"alto+8",pitch:6,mid:-6},alto_8:{clef:"alto-8",pitch:6,mid:-6}},h=function(t,e){var i=o[t];return(i?i.mid:0)+e};a.fixClef=function(t){var e=o[t.type];e&&(t.clefPos=e.pitch,t.type=e.clef)},a.deepCopyKey=function(t){var e={accidentals:[],root:t.root,acc:t.acc,mode:t.mode};return r.each(t.accidentals,function(t){e.accidentals.push(r.clone(t))}),e};var l={A:5,B:6,C:0,D:1,E:2,F:3,G:4,a:12,b:13,c:7,d:8,e:9,f:10,g:11};a.addPosToKey=function(t,e){var i=t.verticalPos;r.each(e.accidentals,function(t){var e=l[t.note];e-=i,t.verticalPos=e}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){var e=l[t.note];e-=i,t.verticalPos=e}),i<-10?(r.each(e.accidentals,function(t){t.verticalPos-=7,(t.verticalPos>=11||10===t.verticalPos&&"flat"===t.acc)&&(t.verticalPos-=7),"A"===t.note&&"sharp"===t.acc&&(t.verticalPos-=7),"G"!==t.note&&"F"!==t.note||"flat"!==t.acc||(t.verticalPos-=7)}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos-=7,(t.verticalPos>=11||10===t.verticalPos&&"flat"===t.acc)&&(t.verticalPos-=7),"A"===t.note&&"sharp"===t.acc&&(t.verticalPos-=7),"G"!==t.note&&"F"!==t.note||"flat"!==t.acc||(t.verticalPos-=7)})):i<-4?(r.each(e.accidentals,function(t){t.verticalPos-=7,-8!==i||"f"!==t.note&&"g"!==t.note||"sharp"!==t.acc||(t.verticalPos-=7)}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos-=7,-8!==i||"f"!==t.note&&"g"!==t.note||"sharp"!==t.acc||(t.verticalPos-=7)})):i>=7&&(r.each(e.accidentals,function(t){t.verticalPos+=7}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos+=7}))},a.fixKey=function(t,e){var i=r.clone(e);return a.addPosToKey(t,i),i};var d=function(t){var e=0,i=t.charAt(e++);"^"!==i&&"_"!==i||(i=t.charAt(e++));var r=l[i];for(void 0===r&&(r=6);e0){c.foundKey=!0;var l="",d="";n[0].token.length>1?n[0].token=n[0].token.substring(1):n.shift();var u=o.token;if(n.length>0){var f=t.getSharpFlat(n[0].token);if(f.len>0&&(n[0].token.length>1?n[0].token=n[0].token.substring(1):n.shift(),u+=f.token,l=f.token),n.length>0){var p=t.getMode(n[0].token);p.len>0&&(n.shift(),u+=p.token,d=p.token)}if(void 0===a.standardKey(u,o.token,l,0))return e("Unsupported key signature: "+u,r,0),c}var m=a.deepCopyKey(i.key),g=i.globalTranspose?-i.globalTranspose:0;if(i.key=a.deepCopyKey(a.standardKey(u,o.token,l,g)),i.key.mode=d,m){for(var v,b=0;b0;)switch(n[0].token){case"m":case"middle":if(n.shift(),0===n.length)return e("Expected = after middle",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after middle",r,y.start);break}if(0===n.length)return e("Expected parameter after middle=",r,0),c;var S=t.getPitchFromTokens(n);S.warn&&e(S.warn,r,0),S.position&&(i.clef.verticalPos=S.position-6);break;case"transpose":if(n.shift(),0===n.length)return e("Expected = after transpose",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after transpose",r,y.start);break}if(0===n.length)return e("Expected parameter after transpose=",r,0),c;if("number"!==n[0].type){e("Expected number after transpose",r,n[0].start);break}i.clef.transpose=n[0].intt,n.shift();break;case"stafflines":if(n.shift(),0===n.length)return e("Expected = after stafflines",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after stafflines",r,y.start);break}if(0===n.length)return e("Expected parameter after stafflines=",r,0),c;if("number"!==n[0].type){e("Expected number after stafflines",r,n[0].start);break}i.clef.stafflines=n[0].intt,n.shift();break;case"staffscale":if(n.shift(),0===n.length)return e("Expected = after staffscale",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after staffscale",r,y.start);break}if(0===n.length)return e("Expected parameter after staffscale=",r,0),c;if("number"!==n[0].type){e("Expected number after staffscale",r,n[0].start);break}i.clef.staffscale=n[0].floatt,n.shift();break;case"style":if(n.shift(),0===n.length)return e("Expected = after style",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after style",r,y.start);break}if(0===n.length)return e("Expected parameter after style=",r,0),c;switch(n[0].token){case"normal":case"harmonic":case"rhythm":case"x":i.style=n[0].token,n.shift();break;default:e("error parsing style element: "+n[0].token,r,n[0].start)}break;case"clef":if(n.shift(),0===n.length)return e("Expected = after clef",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after clef",r,y.start);break}if(0===n.length)return e("Expected parameter after clef=",r,0),c;case"treble":case"bass":case"alto":case"tenor":case"perc":var N=n.shift();switch(N.token){case"treble":case"tenor":case"alto":case"bass":case"perc":case"none":break;case"C":N.token="alto";break;case"F":N.token="bass";break;case"G":N.token="treble";break;case"c":N.token="alto";break;case"f":N.token="bass";break;case"g":N.token="treble";break;default:e("Expected clef name. Found "+N.token,r,N.start)}n.length>0&&"number"===n[0].type&&(N.token+=n[0].token,n.shift()),n.length>1&&("-"===n[0].token||"+"===n[0].token||"^"===n[0].token||"_"===n[0].token)&&"8"===n[1].token&&(N.token+=n[0].token+n[1].token,n.shift(),n.shift()),i.clef={type:N.token,verticalPos:h(N.token,0)},i.currentVoice&&void 0!==i.currentVoice.transpose&&(i.clef.transpose=i.currentVoice.transpose),c.foundClef=!0;break;default:e("Unknown parameter: "+n[0].token,r,n[0].start),n.shift()}return c};a.parseVoice=function(r,s,n){var a=t.getMeat(r,s,n),o=a.start,l=a.end,u=t.getToken(r,o,l);if(0!==u.length){var f=!1;void 0===i.voices[u]&&(i.voices[u]={},f=!0,i.score_is_present&&e("Can't have an unknown V: id when the %score directive is present",r,o)),o+=u.length,o+=t.eatWhiteSpace(r,o);for(var p={startStaff:f},m=function(i){var s=t.getVoiceToken(r,o,l);void 0!==s.warn?e("Expected value for "+i+" in voice: "+s.warn,r,o):0===s.token.length&&'"'!==r.charAt(o)?e("Expected value for "+i+" in voice",r,o):p[i]=s.token,o+=s.len},g=function(s,n,a){var c=t.getVoiceToken(r,o,l);void 0!==c.warn?e("Expected value for "+n+" in voice: "+c.warn,r,o):0===c.token.length&&'"'!==r.charAt(o)?e("Expected value for "+n+" in voice",r,o):("number"===a&&(c.token=parseFloat(c.token)),i.voices[s][n]=c.token),o+=c.len},v=function(i,s){var n=t.getVoiceToken(r,o,l);if(void 0!==n.warn)e("Expected value for "+i+" in voice: "+n.warn,r,o);else{if(0!==n.token.length||'"'===r.charAt(o))return"number"===s&&(n.token=parseFloat(n.token)),n.token;e("Expected value for "+i+" in voice",r,o)}o+=n.len},b=function(s,n){var a=t.getVoiceToken(r,o,l);if(void 0!==a.warn)e("Expected one of (_B, _E, _b, _e) for "+n+" in voice: "+a.warn,r,o);else if(0===a.token.length&&'"'!==r.charAt(o))e("Expected one of (_B, _E, _b, _e) for "+n+" in voice",r,o);else{var c={_B:2,_E:9,_b:-10,_e:-3}[a.token];c?i.voices[s][n]=c:e("Expected one of (_B, _E, _b, _e) for "+n+" in voice",r,o)}o+=a.len};oi.currentEvent&&i.noteTimings[i.currentEvent].milliseconds=i.lastMoment&&i.eventCallback&&i.eventCallback(null)}},i.start=function(){i.isPaused&&(i.isPaused=!1,i.justUnpaused=!0),requestAnimationFrame(i.doTiming)},i.pause=function(){i.isPaused=!0},i.reset=function(){i.currentBeat=0,i.currentEvent=0,i.startTime=null,i.pausedTime=null,i.lineEndCallback&&(i.lineEndTimings=r(i.noteTimings,i.lineEndAnticipation))},i.stop=function(){i.pause(),i.reset()})}},function(t,e,i){"use strict";var r={},s={C:0,"C#":1,Db:1,D:2,"D#":3,Eb:3,E:4,F:5,"F#":6,Gb:6,G:7,"G#":8,Ab:8,A:9,"A#":10,Bb:10,B:11},n=["C","Db","D","Eb","E","F","F#","G","Ab","A","Bb","B"],a=["C","C#","D","D#","E","F","F#","G","G#","A","Bb","B"];r.keySignature=function(t,e,i,r,c,o){o||(o=0),t.localTransposeVerticalMovement=0,t.localTransposePreferFlats=!1;var h=e[i];if(!h)return t.key;if(t.localTranspose=(t.globalTranspose?t.globalTranspose:0)+o,!t.localTranspose)return{accidentals:h,root:r,acc:c};if(t.globalTransposeOrigKeySig=h,t.localTranspose%12==0)return t.localTransposeVerticalMovement=t.localTranspose/12*7,{accidentals:h,root:r,acc:c};var l=i[0];"b"===i[1]||"#"===i[1]?(l+=i[1],i=i.substr(2)):i=i.substr(1);for(var d=s[l]+t.localTranspose;d<0;)d+=12;d>11&&(d%=12);var u="m"===i[0]?a[d]:n[d],f=u+i,p=e[f];p.length>0&&"flat"===p[0].acc&&(t.localTransposePreferFlats=!0);var m=f.charCodeAt(0)-l.charCodeAt(0);return t.localTranspose>0?m<0?m+=7:0===m&&("#"!==l[1]&&"b"!==f[1]||(m+=7)):t.localTranspose<0&&(m>0?m-=7:0===m&&("b"!==l[1]&&"#"!==f[1]||(m-=7))),t.localTranspose>0?t.localTransposeVerticalMovement=m+7*Math.floor(t.localTranspose/12):t.localTransposeVerticalMovement=m+7*Math.ceil(t.localTranspose/12),{accidentals:p,root:u[0],acc:u.length>1?u[1]:""}};var c=["C","C♯","D","D♯","E","F","F♯","G","G♯","A","A♯","B"],o=["C","D♭","D","E♭","E","F","G♭","G","A♭","A","B♭","B"];r.chordName=function(t,e){if(t.localTranspose&&t.localTranspose%12!=0){for(var i=t.localTranspose;i<0;)i+=12;i>11&&(i%=12);for(var r=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=e.replace(/C♭/g,"`~11`")).replace(/D♭/g,"`~1`")).replace(/E♭/g,"`~3`")).replace(/F♭/g,"`~4`")).replace(/G♭/g,"`~6`")).replace(/A♭/g,"`~8`")).replace(/B♭/g,"`~10`")).replace(/C♯/g,"`~1`")).replace(/D♯/g,"`~3`")).replace(/E♯/g,"`~5`")).replace(/F♯/g,"`~6`")).replace(/G♯/g,"`~8`")).replace(/A♯/g,"`~10`")).replace(/B♯/g,"`~0`")).replace(/C/g,"`~0`")).replace(/D/g,"`~2`")).replace(/E/g,"`~4`")).replace(/F/g,"`~5`")).replace(/G/g,"`~7`")).replace(/A/g,"`~9`")).replace(/B/g,"`~11`")).split("`"),s=0;s11&&(n-=12),r[s]=t.localTransposePreferFlats?o[n]:c[n]}e=r.join("")}return e};var h=["c","d","e","f","g","a","b"];var l={dblflat:-2,flat:-1,natural:0,sharp:1,dblsharp:2},d={"-2":"dblflat","-1":"flat",0:"natural",1:"sharp",2:"dblsharp"};r.note=function(t,e){if(t.localTranspose){var i=e.pitch;if(e.pitch=e.pitch+t.localTransposeVerticalMovement,e.accidental){var r=function(t,e,i,r,s){for(var n=h[(t+49)%7],a=0,c=0;c2&&(e++,p-="b"===d||"e"===d?1:2),[e,p]}(i,e.pitch,e.accidental,t.globalTransposeOrigKeySig,t.targetKey);e.pitch=r[0],e.accidental=d[r[1]]}}},t.exports=r},function(t,e,i){"use strict";function r(t,e){for(var i=e.length+1,r=t.total/i,n=0,a=0,c=0;c<=e.length;c++){var o=c===e.length?t.measureWidths.length-1:e[c],h=s(t.measureWidths,a,o,r);a=o+1,n=Math.max(n,h)}return n}function s(t,e,i,r){var s=function(t,e,i){for(var r=0,s=e;s<=i;s++)r+=t[s];return r}(t,e,i);return Math.abs(r-s)}function n(t,e,i,n){var a=t.total/(i.length+1),c=r(t,i);if(0===i.length)return{failed:!0,reason:"Only one line."};var o=i[i.length-1]+1;if(c>s(t.measureWidths,o,t.measureWidths.length,a))return{failed:!0,reason:"Last line is not too short."};for(var h=function(t,e,i,r){for(var s=0,n=[],a=t.length-1;a>=0&&!((s+=t[a])>r);a--)s>i&&an);h++)if(c>s){if(r>0&&o.length<1200)for(var l=t(e,h+1,r-1,s,n,a),d=0;d=0&&o.push([h])}return o}(t.measureWidths,0,i.length,a-c,a+c,h),d=!0,u=0;u0)){var p=[].concat(i);p[p.length-1]--,f=r(t,p),n.attempts.push({type:"Optimize last try",lineBreaks:l[u],variance:Math.round(c),newVariance:Math.round(f),totalAttempts:l.length}),fe&&(a=!0),c!==t.length-1&&r.push(c),s.push(Math.round(n)),n=0);return{failed:a,totals:s,lineBreaks:r}}(e.measureWidths,f,u);g.attempts.push({type:"Fixed Measures Per Line",preferredMeasuresPerLine:u,lineBreaks:b.lineBreaks,failed:b.failed,totals:b.totals}),b.failed||(v=b.lineBreaks)}if(!v){var y=function(t,e){for(var i=[],r=[],s=0,n=0;n0?(i.push(n-1),r.push(Math.round(s-a)),s=a):ne.total&&(w=e.total*d*o+e.left,g.attempts.push({type:"too sparse",newWidth:Math.round(w)}),A=!1),A||(x=a(v,w,i,r,s)),x.explanation=g,x}}},function(t,e,i){"use strict";var r=i(1),s=i(23),n=i(37),a=function(t,e){e=e||{},this.responsive=e.responsive,this.space=3*r.SPACE,this.scale=e.scale?parseFloat(e.scale):0,this.scale>.1||(this.scale=void 0),e.staffwidth?(this.staffwidthScreen=e.staffwidth,this.staffwidthPrint=e.staffwidth):(this.staffwidthScreen=740,this.staffwidthPrint=680),this.editable=e.editable||!1,this.listeners=[],e.clickListener&&this.addSelectListener(e.clickListener),this.renderer=new n(t,e.regression,e.add_classes),this.renderer.setPaddingOverride(e),this.renderer.controller=this,this.reset()};function c(t,e,i,r,s,n,a){return t&&r/i<.66&&!e?null:Math.abs(i-r)<2?null:n>0?((s=(i-(r-n*s))/n)*a>50&&(s=50/a),s):null}a.prototype.reset=function(){this.selected=[],this.ingroup=!1,this.staffgroups=[],this.lastStaffGroupIndex=-1,this.engraver&&this.engraver.reset(),this.engraver=null,this.renderer.reset()},a.prototype.engraveABC=function(t,e){void 0===t[0]&&(t=[t]),this.reset();for(var i=0;i0)for(var o=c.staffGroup.voices[0],h=!1,l=0,d=0;dc&&(c=r.staffGroup.w));for(i=0;i-1&&this.renderer.addStaffPadding(this.staffgroups[this.lastStaffGroupIndex],t),this.renderer.voiceNumber=null,t.draw(this.renderer);var e=t.height*r.STEP;this.staffgroups[this.staffgroups.length]=t,this.lastStaffGroupIndex=this.staffgroups.length-1,this.renderer.y+=e},a.prototype.notifySelect=function(t,e,i){this.clearSelection(),t.highlight&&(this.selected=[t],t.highlight());for(var r=t.abcelem||{},s=0;sc&&t0&&(i.default_length=a/c,i.havent_set_length=!1)}else 1===n.length&&"1"===n[0]&&(i.default_length=1,i.havent_set_length=!1)};var c={larghissimo:20,adagissimo:24,sostenuto:28,grave:32,largo:40,lento:50,larghetto:60,adagio:68,adagietto:74,andante:80,andantino:88,"marcia moderato":84,"andante moderato":100,moderato:112,allegretto:116,"allegro moderato":120,allegro:126,animato:132,agitato:140,veloce:148,"mosso vivo":156,vivace:164,vivacissimo:172,allegrissimo:176,presto:184,prestissimo:210};this.setTempo=function(r,s,n){try{var a=t.tokenize(r,s,n);if(0===a.length)throw"Missing parameter in Q: field";var o={},h=!0,l=a.shift();if("quote"===l.type&&(o.preString=l.token,l=a.shift(),0===a.length))return c[o.preString.toLowerCase()]&&(o.bpm=c[o.preString.toLowerCase()],o.suppressBpm=!0),{type:"immediate",tempo:o};if("alpha"===l.type&&"C"===l.token){if(0===a.length)throw"Missing tempo after C in Q: field";if("punct"===(l=a.shift()).type&&"="===l.token){if(0===a.length)throw"Missing tempo after = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected number after = in Q: field";o.duration=[1],o.bpm=parseInt(l.token)}else{if("number"!==l.type)throw"Expected number or equal after C in Q: field";if(o.duration=[parseInt(l.token)],0===a.length)throw"Missing = after duration in Q: field";if("punct"!==(l=a.shift()).type||"="!==l.token)throw"Expected = after duration in Q: field";if(0===a.length)throw"Missing tempo after = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected number after = in Q: field";o.bpm=parseInt(l.token)}}else{if("number"!==l.type)throw"Unknown value in Q: field";var d=parseInt(l.token);if(0===a.length||"quote"===a[0].type)o.duration=[1],o.bpm=d;else{if(h=!1,"punct"!==(l=a.shift()).type&&"/"!==l.token)throw"Expected fraction in Q: field";if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";var u=parseInt(l.token);for(o.duration=[d/u];a.length>0&&"="!==a[0].token&&"quote"!==a[0].type;){if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";if(d=parseInt(l.token),"punct"!==(l=a.shift()).type&&"/"!==l.token)throw"Expected fraction in Q: field";if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";u=parseInt(l.token),o.duration.push(d/u)}if("punct"!==(l=a.shift()).type&&"="!==l.token)throw"Expected = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected tempo in Q: field";o.bpm=parseInt(l.token)}}if(0!==a.length&&("quote"===(l=a.shift()).type&&(o.postString=l.token,l=a.shift()),0!==a.length))throw"Unexpected string at end of Q: field";return!1===i.printTempo&&(o.suppress=!0),{type:h?"delaySet":"immediate",tempo:o}}catch(t){return e(t,r,s),{type:"none"}}},this.letter_to_inline_header=function(r,c){var o=t.eatWhiteSpace(r,c);if(c+=o,r.length>=c+5&&"["===r.charAt(c)&&":"===r.charAt(c+2)){var h=r.indexOf("]",c),l=i.iChar+c,d=i.iChar+h+1;switch(r.substring(c,c+3)){case"[I:":var u=s.addDirective(r.substring(c+3,h));return u&&e(u,r,c),[h-c+1+o];case"[M:":var f=this.setMeter(r.substring(c+3,h));return a.hasBeginMusic()&&f?a.appendStartingElement("meter",l,d,f):i.meter=f,[h-c+1+o];case"[K:":var p=n.parseKey(r.substring(c+3,h));return p.foundClef&&a.hasBeginMusic()&&a.appendStartingElement("clef",l,d,i.clef),p.foundKey&&a.hasBeginMusic()&&a.appendStartingElement("key",l,d,n.fixKey(i.clef,i.key)),[h-c+1+o];case"[P:":return a.lines.length<=a.lineNum?i.partForNextLine={title:r.substring(c+3,h),startChar:l,endChar:d}:a.appendElement("part",l,d,{title:r.substring(c+3,h)}),[h-c+1+o];case"[L:":return this.setDefaultLength(r,c+3,h),[h-c+1+o];case"[Q:":if(h>0){var m=this.setTempo(r,c+3,h);return"delaySet"===m.type?a.appendElement("tempo",l,d,this.calcTempo(m.tempo)):"immediate"===m.type&&a.appendElement("tempo",l,d,m.tempo),[h-c+1+o,r.charAt(c+1),r.substring(c+3,h)]}break;case"[V:":if(h>0)return n.parseVoice(r,c+3,h),[h-c+1+o,r.charAt(c+1),r.substring(c+3,h)]}}return[0]},this.letter_to_body_header=function(t,c){if(t.length>=c+3)switch(t.substring(c,c+2)){case"I:":var o=s.addDirective(t.substring(c+2));return o&&e(o,t,c),[t.length];case"M:":var h=this.setMeter(t.substring(c+2));return a.hasBeginMusic()&&h&&a.appendStartingElement("meter",i.iChar+c,i.iChar+t.length,h),[t.length];case"K:":var l=n.parseKey(t.substring(c+2));return l.foundClef&&a.hasBeginMusic()&&a.appendStartingElement("clef",i.iChar+c,i.iChar+t.length,i.clef),l.foundKey&&a.hasBeginMusic()&&a.appendStartingElement("key",i.iChar+c,i.iChar+t.length,n.fixKey(i.clef,i.key)),[t.length];case"P:":return a.hasBeginMusic()&&a.appendElement("part",i.iChar+c,i.iChar+t.length,{title:t.substring(c+2)}),[t.length];case"L:":return this.setDefaultLength(t,c+2,t.length),[t.length];case"Q:":var d=t.indexOf("",c+2);-1===d&&(d=t.length);var u=this.setTempo(t,c+2,d);return"delaySet"===u.type?a.appendElement("tempo",i.iChar+c,i.iChar+t.length,this.calcTempo(u.tempo)):"immediate"===u.type&&a.appendElement("tempo",i.iChar+c,i.iChar+t.length,u.tempo),[d,t.charAt(c),r.strip(t.substring(c+2))];case"V:":return n.parseVoice(t,c+2,t.length),[t.length,t.charAt(c),r.strip(t.substring(c+2))]}return[0]};var o={A:"author",B:"book",C:"composer",D:"discography",F:"url",G:"group",I:"instruction",N:"notes",O:"origin",R:"rhythm",S:"source",W:"unalignedWords",Z:"transcription"};this.parseHeader=function(c){if(r.startsWith(c,"%%")){var h=s.addDirective(c.substring(2));return h&&e(h,c,2),{}}var l=c.indexOf("%");if(l>=0&&(c=c.substring(0,l)),0===(c=c.replace(/\s+$/,"")).length)return{};if(c.length>=2&&":"===c.charAt(1)){var d="";c.indexOf("")>=0&&"w"!==c.charAt(0)&&(d=c.substring(c.indexOf("")+1),c=c.substring(0,c.indexOf("")));var u=o[c.charAt(0)];if(void 0!==u)return"unalignedWords"===u?a.addMetaTextArray(u,s.parseFontChangeLine(t.translateString(t.stripComment(c.substring(2))))):a.addMetaText(u,t.translateString(t.stripComment(c.substring(2)))),{};var f=i.iChar,p=f+c.length;switch(c.charAt(0)){case"H":a.addMetaText("history",t.translateString(t.stripComment(c.substring(2)))),i.is_in_history=!0;break;case"K":this.resolveTempo();var m=n.parseKey(c.substring(2));!i.is_in_header&&a.hasBeginMusic()&&(m.foundClef&&a.appendStartingElement("clef",f,p,i.clef),m.foundKey&&a.appendStartingElement("key",f,p,n.fixKey(i.clef,i.key))),i.is_in_header=!1;break;case"L":this.setDefaultLength(c,2,c.length);break;case"M":i.origMeter=i.meter=this.setMeter(c.substring(2));break;case"P":i.is_in_header?a.addMetaText("partOrder",t.translateString(t.stripComment(c.substring(2)))):i.partForNextLine={title:t.translateString(t.stripComment(c.substring(2))),startChar:f,endChar:p};break;case"Q":var g=this.setTempo(c,2,c.length);"delaySet"===g.type?i.tempo=g.tempo:"immediate"===g.type&&(a.metaText.tempo=g.tempo);break;case"T":this.setTitle(c.substring(2));break;case"U":this.addUserDefinition(c,2,c.length);break;case"V":if(n.parseVoice(c,2,c.length),!i.is_in_header)return{newline:!0};break;case"s":return{symbols:!0};case"w":return{words:!0};case"X":break;case"E":case"m":e("Ignored header",c,0);break;default:return d.length&&(d=""+d),{regular:!0,str:c+d}}return d.length>0?{recurse:!0,str:d}:{}}return{regular:!0,str:c}}}},function(t,e,i){"use strict";var r=i(0);t.exports=function(){this.skipWhiteSpace=function(t){for(var e=0;e=t.length};this.eatWhiteSpace=function(t,e){for(var i=e;i="a"&&t.charAt(e)<="z"||t.charAt(e)>="A"&&t.charAt(e)<="Z");)e++;return e},r=this.skipWhiteSpace(e);if(t(e,r))return{len:0};var s=e.substring(r,r+3).toLowerCase();switch((s.length>1&&" "===s.charAt(1)||"^"===s.charAt(1)||"_"===s.charAt(1)||"="===s.charAt(1))&&(s=s.charAt(0)),s){case"mix":return{len:i(e,r),token:"Mix"};case"dor":return{len:i(e,r),token:"Dor"};case"phr":return{len:i(e,r),token:"Phr"};case"lyd":return{len:i(e,r),token:"Lyd"};case"loc":return{len:i(e,r),token:"Loc"};case"aeo":return{len:i(e,r),token:"m"};case"maj":case"ion":return{len:i(e,r),token:""};case"min":case"m":return{len:i(e,r),token:"m"}}return{len:0}},this.getClef=function(e,i){var s=e,n=this.skipWhiteSpace(e);if(t(e,n))return{len:0};var a=!1,c=e.substring(n);if(r.startsWith(c,"clef=")&&(a=!0,c=c.substring(5),n+=5),0===c.length&&a)return{len:n+5,warn:"No clef specified: "+s};var o=this.skipWhiteSpace(c);if(t(c,o))return{len:0};o>0&&(n+=o,c=c.substring(o));var h=null;if(r.startsWith(c,"treble"))h="treble";else if(r.startsWith(c,"bass3"))h="bass3";else if(r.startsWith(c,"bass"))h="bass";else if(r.startsWith(c,"tenor"))h="tenor";else if(r.startsWith(c,"alto2"))h="alto2";else if(r.startsWith(c,"alto1"))h="alto1";else if(r.startsWith(c,"alto"))h="alto";else if(!i&&a&&r.startsWith(c,"none"))h="none";else if(r.startsWith(c,"perc"))h="perc";else if(!i&&a&&r.startsWith(c,"C"))h="tenor";else if(!i&&a&&r.startsWith(c,"F"))h="bass";else{if(i||!a||!r.startsWith(c,"G"))return{len:n+5,warn:"Unknown clef specified: "+s};h="treble"}return c=c.substring(h.length),(o=this.isMatch(c,"+8"))>0?h+="+8":(o=this.isMatch(c,"-8"))>0&&(h+="-8"),{len:n+h.length,token:h,explicit:a}},this.getBarLine=function(t,e){switch(t.charAt(e)){case"]":switch(++e,t.charAt(e)){case"|":return{len:2,token:"bar_thick_thin"};case"[":return++e,t.charAt(e)>="1"&&t.charAt(e)<="9"||'"'===t.charAt(e)?{len:2,token:"bar_invisible"}:{len:1,warn:"Unknown bar symbol"};default:return{len:1,token:"bar_invisible"}}break;case":":switch(++e,t.charAt(e)){case":":return{len:2,token:"bar_dbl_repeat"};case"|":switch(++e,t.charAt(e)){case"]":switch(++e,t.charAt(e)){case"|":return++e,":"===t.charAt(e)?{len:5,token:"bar_dbl_repeat"}:{len:3,token:"bar_right_repeat"};default:return{len:3,token:"bar_right_repeat"}}break;case"|":return++e,":"===t.charAt(e)?{len:4,token:"bar_dbl_repeat"}:{len:3,token:"bar_right_repeat"};default:return{len:2,token:"bar_right_repeat"}}break;default:return{len:1,warn:"Unknown bar symbol"}}break;case"[":if(++e,"|"!==t.charAt(e))return t.charAt(e)>="1"&&t.charAt(e)<="9"||'"'===t.charAt(e)?{len:1,token:"bar_invisible"}:{len:0};switch(++e,t.charAt(e)){case":":return{len:3,token:"bar_left_repeat"};case"]":return{len:3,token:"bar_invisible"};default:return{len:2,token:"bar_thick_thin"}}break;case"|":switch(++e,t.charAt(e)){case"]":return{len:2,token:"bar_thin_thick"};case"|":return++e,":"===t.charAt(e)?{len:3,token:"bar_left_repeat"}:{len:2,token:"bar_thin_thin"};case":":for(var i=0;":"===t.charAt(e+i);)i++;return{len:1+i,token:"bar_left_repeat"};default:return{len:1,token:"bar_thin"}}}return{len:0}},this.getTokenOf=function(t,e){for(var i=0;i0;){var i;if("^"===t[0].token){if(i="sharp",t.shift(),0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token){case"^":i="dblsharp",t.shift();break;case"/":i="quartersharp",t.shift()}}else if("="===t[0].token)i="natural",t.shift();else{if("_"!==t[0].token)return{accs:e};if(i="flat",t.shift(),0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token){case"_":i="dblflat",t.shift();break;case"/":i="quarterflat",t.shift()}}if(0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token.charAt(0)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":void 0===e&&(e=[]),e.push({acc:i,note:t[0].token.charAt(0)}),1===t[0].token.length?t.shift():t[0].token=t[0].token.substring(1);break;default:return{accs:e,warn:"Expected note name after "+i+" Found: "+t[0].token}}}return{accs:e}},this.getKeyAccidental=function(e){var i={"^":"sharp","^^":"dblsharp","=":"natural",_:"flat",__:"dblflat","_/":"quarterflat","^/":"quartersharp"},r=this.skipWhiteSpace(e);if(t(e,r))return{len:0};var s=null;switch(e.charAt(r)){case"^":case"_":case"=":s=e.charAt(r);break;default:return{len:0}}if(t(e,++r))return{len:1,warn:"Expected note name after accidental"};switch(e.charAt(r)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":return{len:r+1,token:{acc:i[s],note:e.charAt(r)}};case"^":case"_":case"/":if(s+=e.charAt(r),t(e,++r))return{len:2,warn:"Expected note name after accidental"};switch(e.charAt(r)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":return{len:r+1,token:{acc:i[s],note:e.charAt(r)}};default:return{len:2,warn:"Expected note name after accidental"}}break;default:return{len:1,warn:"Expected note name after accidental"}}},this.isWhiteSpace=function(t){return" "===t||"\t"===t||""===t},this.getMeat=function(t,e,i){var r=t.indexOf("%",e);for(r>=0&&r="A"&&t<="Z"||t>="a"&&t<="z"},i=function(t){return t>="0"&&t<="9"};this.tokenize=function(t,r,s,n){var a=this.getMeat(t,r,s);r=a.start,s=a.end;for(var c,o=[];r=i?{len:1,err:"Missing close quote"}:{len:s-e+1,token:this.translateString(t.substring(r+1,s))}}for(var n=r;n=0?r.strip(t.substring(0,e)):r.strip(t)},this.getInt=function(t){var e=parseInt(t);if(isNaN(e))return{digits:0};var i=""+e;return{value:e,digits:t.indexOf(i)+i.length}},this.getFloat=function(t){var e=parseFloat(t);if(isNaN(e))return{digits:0};var i=""+e;return{value:e,digits:t.indexOf(i)+i.length}},this.getMeasurement=function(t){if(0===t.length)return{used:0};var e=1,i="";if("-"===t[0].token)t.shift(),i="-",e++;else if("number"!==t[0].type)return{used:0};if(i+=t.shift().token,0===t.length)return{used:1,value:parseInt(i)};var r=t.shift();if("."===r.token){if(e++,0===t.length)return{used:e,value:parseInt(i)};if("number"===t[0].type&&(i=i+"."+(r=t.shift()).token,e++,0===t.length))return{used:e,value:parseFloat(i)};r=t.shift()}switch(r.token){case"pt":return{used:e+1,value:parseFloat(i)};case"cm":return{used:e+1,value:parseFloat(i)/2.54*72};case"in":return{used:e+1,value:72*parseFloat(i)};default:return t.unshift(r),{used:e,value:parseFloat(i)}}return{used:0}};var c=function(t){for(;-1!==t.indexOf("\\n");)t=t.replace("\\n","\n");return t};this.getBrackettedSubstring=function(t,e,i,r){for(var s=r||t.charAt(e),n=e+1;nt.length-1&&(n=t.length-1),[n-e+1,c(t.substring(e+1,n)),!1])}}},function(t,e,i){"use strict";var r=i(0),s=i(9),n=i(1);t.exports=function(){this.getBeatLength=function(){for(var t=0;t0){var r=parseInt(i.value[0].num,10),s=parseInt(i.value[0].den,10);return 3===r&&8===s?3/8:6===r&&8===s?3/8:9===r&&8===s?3/8:12===r&&8===s?3/8:1/s}return.25}return"cut_time"===i.type?.5:.25}return.25},this.getPickupLength=function(){for(var t=0,e=this.getBarLength(),i=0;i=e&&(t-=e),"bar"===n[c].el_type)return t}return t},this.getBarLength=function(){var t=this.getMeterFraction();return t.num/t.den},this.millisecondsPerMeasure=function(t){var e,i;if(t)e=t;else{var r=this.metaText?this.metaText.tempo:null;e=this.getBpm(r)}e<=0&&(e=1);var s=this.getMeterFraction();return(i=8===s.den?s.num/3:s.num)<=0&&(i=1),i/e*6e4},this.reset=function(){this.version="1.0.1",this.media="screen",this.metaText={},this.formatting={},this.lines=[],this.staffNum=0,this.voiceNum=0,this.lineNum=0},this.resolveOverlays=function(){for(var t=!1,e=0;e=0;p--){var m=f.snip[p];s.voices[a].splice(m.start,m.len)}}}}}return t},this.cleanUp=function(t,e,i,n,a){this.closeLine(),this.metaText.tempo&&this.metaText.tempo.bpm&&!this.metaText.tempo.duration&&(this.metaText.tempo.duration=[this.getBeatLength()]);var c,o,h,l=!1;for(c=0;c=e&&ae;){if(t[e].staff)return t[e];e++}return null}for(this.lineNum=0;this.lineNum0&&b[b.length-1].barNumber){var w=g(this.lines,this.lineNum);w&&(w.staff[0].barNumber=b[b.length-1].barNumber),delete b[b.length-1].barNumber}}}return this.formatting.pagewidth||(this.formatting.pagewidth=t),this.formatting.pageheight||(this.formatting.pageheight=e),delete this.staffNum,delete this.voiceNum,delete this.lineNum,delete this.potentialStartBeam,delete this.potentialEndBeam,delete this.vskipPending,a},this.reset(),this.getLastNote=function(){if(this.lines[this.lineNum]&&this.lines[this.lineNum].staff&&this.lines[this.lineNum].staff[this.staffNum]&&this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum])for(var t=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum].length-1;t>=0;t--){var e=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum][t];if("note"===e.el_type)return e}return null},this.addTieToLastNote=function(){var t=this.getLastNote();return!!(t&&t.pitches&&t.pitches.length>0)&&(t.pitches[0].startTie={},!0)},this.getDuration=function(t){return t.duration?t.duration:0},this.closeLine=function(){this.potentialStartBeam&&this.potentialEndBeam&&(this.potentialStartBeam.startBeam=!0,this.potentialEndBeam.endBeam=!0),delete this.potentialStartBeam,delete this.potentialEndBeam},this.appendElement=function(t,e,i,s){var n=this;s.el_type=t,null!==e&&(s.startChar=e),null!==i&&(s.endChar=i);var a=function(){void 0!==n.potentialStartBeam&&void 0!==n.potentialEndBeam&&(n.potentialStartBeam.startBeam=!0,n.potentialEndBeam.endBeam=!0),delete n.potentialStartBeam,delete n.potentialEndBeam};"note"===t?n.getDuration(s)>=.25?a():s.force_end_beam_last&&void 0!==n.potentialStartBeam?a():s.end_beam&&void 0!==n.potentialStartBeam?void 0===s.rest?(n.potentialStartBeam.startBeam=!0,s.endBeam=!0,delete n.potentialStartBeam,delete n.potentialEndBeam):a():void 0===s.rest&&(void 0===n.potentialStartBeam?s.end_beam||(n.potentialStartBeam=s,delete n.potentialEndBeam):n.potentialEndBeam=s):a(),delete s.end_beam,delete s.force_end_beam_last,function(t){if(void 0!==t.pitches){var e=n.lines[n.lineNum].staff[n.staffNum].workingClef.verticalPos;r.each(t.pitches,function(t){t.verticalPos=t.pitch-e})}if(void 0!==t.gracenotes){var i=n.lines[n.lineNum].staff[n.staffNum].workingClef.verticalPos;r.each(t.gracenotes,function(t){t.verticalPos=t.pitch-i})}n.lines[n.lineNum].staff[n.staffNum].voices[n.voiceNum].push(t)}(s)},this.appendStartingElement=function(t,e,i,s){var n;this.closeLine(),"key"===t&&(n=s.impliedNaturals,delete s.impliedNaturals,delete s.explicitAccidentals);var a=r.clone(s);if(this.lines[this.lineNum].staff){this.lines[this.lineNum].staff.length<=this.staffNum&&(this.lines[this.lineNum].staff[this.staffNum]={},this.lines[this.lineNum].staff[this.staffNum].clef=r.clone(this.lines[this.lineNum].staff[0].clef),this.lines[this.lineNum].staff[this.staffNum].key=r.clone(this.lines[this.lineNum].staff[0].key),this.lines[this.lineNum].staff[0].meter&&(this.lines[this.lineNum].staff[this.staffNum].meter=r.clone(this.lines[this.lineNum].staff[0].meter)),this.lines[this.lineNum].staff[this.staffNum].workingClef=r.clone(this.lines[this.lineNum].staff[0].workingClef),this.lines[this.lineNum].staff[this.staffNum].voices=[[]]),"clef"===t&&(this.lines[this.lineNum].staff[this.staffNum].workingClef=a);for(var c=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum],o=0;o0){if(void 0!==i.voices[0]){for(var r=!1,s=0;s=0;e--)if(void 0!==this.lines[e].staff)return!1;return!0},this.getMeter=function(){for(var t=0;t0){for(var d=[],u=0;u=0;n--){var a=t[n];"bar"===a.type?(a.top=r,a.nextTop=e,e=r,a.bottom=s,a.nextBottom=i,i=s):"event"===a.type&&(r=a.top,s=a.top+a.height)}}(r=function(t){var e=[];for(var i in t)t.hasOwnProperty(i)&&e.push(t[i]);return e=e.sort(function(t,e){var i=t.milliseconds-e.milliseconds;return 0!==i?i:"bar"===t.type?-1:1})}(s)),r.push({type:"end",milliseconds:l}),r},this.getBpm=function(t){var e;if(t){e=t.bpm;var i=this.getBeatLength();e=e*(t.duration&&t.duration.length>0?t.duration[0]:i)/i}if(!e){e=180;var r=this.getMeterFraction();r&&8===r.den&&(e=120)}return e},this.setTiming=function(t,e){if(!t){var i=this.metaText?this.metaText.tempo:null;t=this.getBpm(i)}var r=this.getBeatLength(),s=t/60,n=this.getBarLength()/r*e/s;n&&(n-=this.getPickupLength()/r/s);var a=r*s;this.noteTimings=this.setupEvents(n,a)}}},function(t,e,i){"use strict";var r=i(6),s=i(13),n=i(7),a=i(12),c={};function o(){var t=window.innerWidth;for(var e in c)if(c.hasOwnProperty(e)){var i=c[e];t-=2*i.offsetLeft,i.style.width=t+"px"}}function h(t,e,i,r){i.viewportHorizontal?(t.innerHTML='
',i.scrollHorizontal?(t.style.overflowX="auto",t.style.overflowY="hidden"):t.style.overflow="hidden",c[t.id]=t,t=t.children[0]):i.viewportVertical?(t.innerHTML='
',t.style.overflowX="hidden",t.style.overflowY="auto",t=t.children[0]):t.innerHTML="";var n=new s(t,i);(n.engraveABC(e,r),e.engraver=n,i.viewportVertical||i.viewportHorizontal)&&(t.parentNode.style.width=t.style.width)}function l(t,e,i,r){function s(t){return{formatting:t.formatting,media:t.media,version:t.version,metaText:{},lines:[]}}for(var n,a=[],c=0;c0&&(a[0].invisible=!0);break;case"meter":a[0]=h(n,this.tuneNumber),this.startlimitelem=a[0],r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"clef":if(a[0]=c(n,this.tuneNumber),!a[0])return null;r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"key":var l=o(n,this.tuneNumber);l&&(a[0]=l,this.startlimitelem=a[0]),r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"stem":this.stemdir=n.direction;break;case"part":var d=new s(n,0,0,"part",this.tuneNumber),u=this.renderer.getTextSize(n.title,"partsfont","part");d.addChild(new f(n.title,0,0,void 0,{type:"part",height:u.height/p.STEP})),a[0]=d;break;case"tempo":var m=new s(n,0,0,"tempo",this.tuneNumber);m.addChild(new g(n,this.tuneNumber,S)),a[0]=m;break;case"style":"normal"===n.head?delete this.style:this.style=n.head;break;case"hint":t=!0,this.saveState();break;case"midi":break;case"scale":this.voiceScale=n.size;break;default:var v=new s(n,0,0,"unsupported",this.tuneNumber);v.addChild(new f("element type "+n.el_type,0,0,void 0,{type:"debug"})),a[0]=v}return a},r.prototype.calcBeamDir=function(t,e,i){if(this.stemdir)return this.stemdir;for(var r=new n(this.stemHeight*this.voiceScale,this.stemdir,this.flatBeams),s=0;st.pitches[i+1].pitch){e=!1;var r=t.pitches[i];t.pitches[i]=t.pitches[i+1],t.pitches[i+1]=r}}while(!e)},A=function(t,e,i,r,s,n,a,c,o){for(var h=i;h>11;h--)h%2!=0||r||t.addChild(new f(null,c,(s+4)*o,h,{type:"ledger"}));for(h=e;h<1;h++)h%2!=0||r||t.addChild(new f(null,c,(s+4)*o,h,{type:"ledger"}));for(h=0;h1&&(d=new n(.7*c,"grace",o),t&&d.setHint(),d.mainNote=s);var p,m=[];for(p=i.gracenotes.length-1;p>=0;p--)h+=10,m[p]=h,i.gracenotes[p].accidental&&(h+=7);for(p=0;p=6?"down":"up";for(s&&(A=s),(n=i.style?i.style:n)&&"normal"!==n||(n="note"),(m=a?e[n].nostem:e[n][-c])||console.log("noteSymbol:",n,c,a),g="down"===A?i.pitches.length-2:1;"down"===A?g>=0:g11||C.verticalPos<1)&&w.push(C.verticalPos-C.verticalPos%2),"down"===A?b=u.getSymbolWidth(m)+2:v=u.getSymbolWidth(m)+2)}var E=i.pitches.length;for(g=0;g0&&(l.bottom=l.bottom-1),t.addHead(l)),b+=L.accidentalshiftx,y=Math.max(y,L.dotshiftx)}if(P){var H=7*this.voiceScale,z="down"===A?i.minpitch-H:i.minpitch+1/3;z>6&&!s&&(z=6);var I="down"===A?i.maxpitch-1/3:i.maxpitch+H;I<6&&!s&&(I=6);var O="down"===A||0===t.heads.length?0:t.heads[0].w,D="down"===A?1:-1;"noteheads.slash.quarter"===l.c&&("down"===A?I-=1:z+=1),t.addExtra(new f(null,O,0,z,{type:"stem",pitch2:I,linewidth:D})),d=Math.min(z,I)}return{noteHead:l,roomTaken:b,roomTakenRight:y,min:d,additionalLedgers:w,dir:A,symbolWidth:k}},r.prototype.addLyric=function(t,e){var i="";w.each(e.lyric,function(t){var e=" "===t.divider?"":t.divider;i+=t.syllable+e+"\n"});var r=this.renderer.getTextSize(i,"vocalfont","lyric"),s=e.positioning?e.positioning.vocalPosition:"below";t.addCentered(new f(i,0,r.width,void 0,{type:"lyric",position:s,height:r.height/p.STEP}))},r.prototype.addChord=function(t,e,i,r){for(var s=0;s1,this.stemdir,n,v,this.voiceScale);o=C.noteHead,h=C.roomTaken,l=C.roomTakenRight}else{var _=this.addNoteToAbcElement(N,i,y,this.stemdir,this.style,g,v,r,a);void 0!==_.min&&(this.minY=Math.min(_.min,this.minY)),o=_.noteHead,h=_.roomTaken,l=_.roomTakenRight,p=_.additionalLedgers,c=_.dir,d=_.symbolWidth}if(void 0!==i.lyric&&this.addLyric(N,i),void 0!==i.gracenotes&&(h+=this.addGraceNotes(i,a,N,o,this.stemHeight*this.voiceScale,this.isBagpipes,h)),i.decoration&&this.decoration.createDecoration(a,i.decoration,N.top,o?o.w:0,N,h,c,N.bottom,i.positioning,this.hasVocals),i.barNumber&&N.addChild(new f(i.barNumber,-10,0,0,{type:"barNumber"})),A(N,i.minpitch,i.maxpitch,i.rest,d,p,c,-2,1),void 0!==i.chord){var E=this.addChord(N,i,h,l);h=E.roomTaken,l=E.roomTakenRight}return i.startTriplet&&(this.triplet=new b(i.startTriplet,o,{flatBeams:this.flatBeams})),i.endTriplet&&this.triplet&&this.triplet.setCloseAnchor(o),!this.triplet||i.startTriplet||i.endTriplet||this.triplet.middleNote(o),N};var S=function(t,e,i,r,s,n,a,c,o,h,l){var d,p=i.verticalPos,m=0,g=0,v=0;if(void 0===e)t.addChild(new f("pitch is undefined",0,0,0,{type:"debug"}));else if(""===e)d=new f(null,0,0,p);else{var b=s;if(i.printer_shift){var y="same"===i.printer_shift?1:0;b="down"===r?-u.getSymbolWidth(e)*h+y:u.getSymbolWidth(e)*h-y}var w={scalex:h,scaley:h,thickness:u.symbolHeightInPitches(e)*h};if(d=new f(e,b,u.getSymbolWidth(e)*h,p,w),a){var x=p+("down"===r?-7:7)*h,k="down"===r?s:s+d.w-.6;t.addRight(new f(a,k,u.getSymbolWidth(a)*h,x,{scalex:h,scaley:h}))}for(g=d.w+o-2+5*c;c>0;c--){var A=1-Math.abs(p)%2;t.addRight(new f("dots.dot",d.w+o-2+5*c,u.getSymbolWidth("dots.dot"),p+A))}}if(d&&(d.highestVert=i.highestVert),i.accidental){var T;switch(i.accidental){case"quartersharp":T="accidentals.halfsharp";break;case"dblsharp":T="accidentals.dblsharp";break;case"sharp":T="accidentals.sharp";break;case"quarterflat":T="accidentals.halfflat";break;case"flat":T="accidentals.flat";break;case"dblflat":T="accidentals.dblflat";break;case"natural":T="accidentals.nat"}for(var S=!1,N=n,C=0;C=6){l[C][0]=p,N=l[C][1],S=!0;break}!1===S&&(N-=u.getSymbolWidth(T)*h+2,l.push([p,N]),m=u.getSymbolWidth(T)*h+2),t.addExtra(new f(T,N,u.getSymbolWidth(T),p,{scalex:h,scaley:h})),v=u.getSymbolWidth(T)/2}return{notehead:d,accidentalshiftx:m,dotshiftx:g,extraLeft:v}};r.prototype.addSlursAndTies=function(e,i,r,s,n){if(i.endTie&&this.ties[0]&&(this.ties[0].setEndAnchor(r),this.ties=this.ties.slice(1,this.ties.length)),i.startTie){var a=new v(r,null,("down"===this.stemdir||"down"===n)&&"up"!==this.stemdir,"down"===this.stemdir||"up"===this.stemdir,!0);t&&a.setHint(),this.ties[this.ties.length]=a,s.addOther(a),e.startTie=!0}if(i.endSlur)for(var c=0;cthis.max)&&(this.max=t.abcelem.maxpitch))};function t(t,e,i,r){if(!t.children)return r;for(var s=0;sn&&(s=n);s<-n&&(s=-n);return s}(n,a,i,c),g=p+Math.floor(m/2),v=p+Math.floor(-m/2);l||(s&&p<6?(g=6,v=6):!s&&p>6&&(g=6,v=6));return[g,v]}(this.total,this.elems.length,h,this.stemsUp,c.abcelem.averagepitch,o.abcelem.averagepitch,this.isflat,this.min,this.max,this.isgrace),u=function(t,e,i){var r=e.heads[t?0:e.heads.length-1],s=i.heads[t?0:i.heads.length-1],n=r.x;t&&(n+=r.w-.6);var a=s.x;t&&(a+=s.w);return[n,a]}(this.stemsUp,c,o);this.beams.push({startX:u[0],endX:u[1],startY:d[0],endY:d[1],dy:r});for(var f=function(t,e,r,s,n){for(var c=[],o=[],h=0;h=0;v--)if(h===t.length-1||a(t[h+1].abcelem.duration)>-v-4){var b=u,y=f+p*(v+1);o[v].single&&(b=0===h?u+5:u-5,y=i(r.startX,r.startY,r.endX,r.endY,b)+p*(v+1)),c.push({startX:o[v].x,endX:b,startY:o[v].y,endY:y,dy:n}),o=o.slice(0,v)}}}return c}(this.elems,this.stemsUp,this.beams[0],this.isgrace,r),p=0;p0?c.top+3:c.bottom-1,{scalex:2/3,scaley:2/3})),c.top+=2}return c},t.exports=r},function(t,e,i){"use strict";var r,s=i(4),n=i(3),a=i(2),c=i(0);r=function(t,e){if(!t.accidentals||0===t.accidentals.length)return null;var i=new s(t,0,10,"staff-extra",e);i.isKeySig=!0;var r=0;return c.each(t.accidentals,function(t){var e="sharp"===t.acc?"accidentals.sharp":"natural"===t.acc?"accidentals.nat":"accidentals.flat";i.addRight(new a(e,r,n.getSymbolWidth(e),t.verticalPos,{thickness:n.symbolHeightInPitches(e)})),r+=n.getSymbolWidth(e)+2},this),i},t.exports=r},function(t,e,i){"use strict";var r,s=i(4),n=i(3),a=i(2);r=function(t,e){var i=new s(t,0,10,"staff-extra",e);if("specified"===t.type)for(var r=0,c=0;c",r)),a&&t.addOther(new n(a.start,a.stop,"<",r))},r.prototype.createDecoration=function(e,i,r,n,h,l,d,u,f,p){f||(f={ornamentPosition:"above",volumePosition:p?"above":"below",dynamicPosition:p?"above":"below"}),function(t,e,i,r){for(var n=0;n9&&d++;var p=r/2;"center"!==a.getSymbolAlign(f)&&(p-=a.getSymbolWidth(f)/2),s.addChild(new c(f,p,a.getSymbolWidth(f),d))}if("slide"===e[u]&&s.heads[0]){var m=s.heads[0].pitch,g=new c("",-n-15,0,(m-=2)-1),v=new c("",-n-5,0,m+1);s.addChild(g),s.addChild(v),t.addOther(new o(g,v,!1,!1,!1))}}return void 0===d&&(d=i),{above:d,below:s.bottom}}(e,i,r,n,h,l,d,u);m.above=Math.max(m.above,this.minTop);!function(t,e,i,r,s,n,o){function h(t,e){"above"===t?r.above+=e:r.below-=e}function l(t){var e;return"above"===t?(e=r.above)o&&(e=o),e}function d(t,r){var s=l(r);i.addChild(new c(t,e/2,0,s+2,{type:"decoration",klass:"ornament",thickness:3})),h(r,5)}function u(t,r){var s=e/2;"center"!==a.getSymbolAlign(t)&&(s-=a.getSymbolWidth(t)/2);var n=a.symbolHeightInPitches(t)+1,o=l(r);o="above"===r?o+n/2:o-n/2,i.addChild(new c(t,s,a.getSymbolWidth(t),o,{klass:"ornament",thickness:a.symbolHeightInPitches(t)})),h(r,n)}for(var f={"+":"scripts.stopped",open:"scripts.open",snap:"scripts.snap",wedge:"scripts.wedge",thumb:"scripts.thumb",shortphrase:"scripts.shortphrase",mediumphrase:"scripts.mediumphrase",longphrase:"scripts.longphrase",trill:"scripts.trill",roll:"scripts.roll",irishroll:"scripts.roll",marcato:"scripts.umarcato",dmarcato:"scripts.dmarcato",umarcato:"scripts.umarcato",turn:"scripts.turn",uppermordent:"scripts.prall",pralltriller:"scripts.prall",mordent:"scripts.mordent",lowermordent:"scripts.mordent",downbow:"scripts.downbow",upbow:"scripts.upbow",fermata:"scripts.ufermata",invertedfermata:"scripts.dfermata",breath:",",coda:"scripts.coda",segno:"scripts.segno"},p=!1,m=0;m0&&(s.top+=o)}e=2-s.bottom}},s.prototype.finished=function(){for(var t=0;t1e-7?l.push(this.voices[r]):h.push(this.voices[r])}o=0;var d=0;for(r=0;ra&&(a=h[r].getNextX(),o=h[r].getSpacingUnits(),d=h[r].spacingduration);for(s+=o,n=Math.min(n,o),i&&console.log("currentduration: ",c,s,n),r=0;r0){a=u;for(var p=0;pa&&(a=this.voices[r].getNextX(),o=this.voices[r].getSpacingUnits());for(s+=o,this.w=a,r=0;r1&&t.printStem(this.startx,.6,e,i),t.y=s},t.exports=s},function(t,e,i){"use strict";var r,s=i(4),n=i(2);(r=function(t,e,i){this.tempo=t,this.tuneNumber=e,this.tempoHeightAbove=5,this.pitch=void 0,this.tempo.duration&&!this.tempo.suppressBpm&&(this.note=this.createNote(i,t,e))}).prototype.setUpperAndLowerElements=function(t){if(this.pitch=t.tempoHeightAbove,this.top=t.tempoHeightAbove,this.bottom=t.tempoHeightAbove,this.note){var e=this.pitch-5+1;this.note.top=e,this.note.bottom=e;for(var i=0;ithis.startNote||i>this.endNote)&&(this.startNote=i,this.endNote=i),this.flatBeams&&(this.startNote=Math.max(this.startNote,this.endNote),this.endNote=Math.max(this.startNote,this.endNote)),this.yTextPos=this.startNote+(this.endNote-this.startNote)/2}delete this.middleElems,delete this.flatBeams},r.prototype.draw=function(e){var i;if(this.hasBeam){var r=this.anchor1.parent.beam.isAbove()?this.anchor1.x+this.anchor1.w:this.anchor1.x;i=this.anchor1.parent.beam.xAtMidpoint(r,this.anchor2.x)}else i=this.anchor1.x+(this.anchor2.x+this.anchor2.w-this.anchor1.x)/2,function(e,i,r,s,n,a){r=e.calcY(r),n=e.calcY(n);t(e,i,r,i,r+5,a),t(e,s,n,s,n+5,a);var c=i+(s-i)/2,o=(n-r)/(s-i),h=c-8;t(e,i,r,h,r+(h-i)*o,a);var l=c+8;t(e,l,r+(l-i)*o,s,n,a)}(e,this.anchor1.x,this.startNote,this.anchor2.x+this.anchor2.w,this.endNote,this.duration);e.renderText(i,e.calcY(this.yTextPos),""+this.number,"tripletfont",e.addClasses("triplet d"+this.duration),"middle",!0)}}(),t.exports=r},function(t,e,i){"use strict";var r=i(0),s=function(t,e){this.children=[],this.beams=[],this.otherchildren=[],this.w=0,this.duplicate=!1,this.voicenumber=t,this.voicetotal=e,this.bottom=7,this.top=7,this.specialY={tempoHeightAbove:0,partHeightAbove:0,volumeHeightAbove:0,dynamicHeightAbove:0,endingHeightAbove:0,chordHeightAbove:0,lyricHeightAbove:0,lyricHeightBelow:0,chordHeightBelow:0,volumeHeightBelow:0,dynamicHeightBelow:0}};function n(t){return"rest"===t.type&&!(!t.abcelem||!t.abcelem.rest||"spacer"===t.abcelem.rest.type)}s.prototype.addChild=function(t){if("bar"===t.type){for(var e=!0,i=0;e&&i=this.children.length},s.prototype.getDurationIndex=function(){return this.durationindex-(this.children[this.i]&&this.children[this.i].duration>0?0:5e-7)},s.prototype.getSpacingUnits=function(){return Math.sqrt(8*this.spacingduration)},s.prototype.getNextX=function(){return Math.max(this.minx,this.nextx)},s.prototype.beginLayout=function(t){this.i=0,this.durationindex=0,this.startx=t,this.minx=t,this.nextx=t,this.spacingduration=0},s.prototype.layoutOneItem=function(t,e){var i=this.children[this.i];if(!i)return 0;var r=t-this.minx;return r0){var n=this.outputTextIf(this.padding.left+t,s,"composerfont","meta-top",0,null,"end");this.moveY(n[1])}else this.moveY(r[1]);this.moveY(-6)}this.outputTextIf(this.padding.left+t,e.metaText.author,"composerfont","meta-top",0,0,"end"),this.outputTextIf(this.padding.left,e.metaText.partOrder,"partsfont","meta-bottom",0,0,"start")},c.prototype.engraveExtraText=function(t,e){if(this.lineNumber=null,this.measureNumber=null,this.noteNumber=null,this.voiceNumber=null,e.metaText.unalignedWords){var i=this.getFontAndAttr("wordsfont","meta-bottom"),r=this.getTextSize("i","wordsfont","meta-bottom");e.metaText.unalignedWords.length>0&&this.moveY(this.spacing.words,1);for(var n=0;n0&&this.moveY(i.font.size,2)}var d="";e.metaText.book&&(d+="Book: "+e.metaText.book+"\n"),e.metaText.source&&(d+="Source: "+e.metaText.source+"\n"),e.metaText.discography&&(d+="Discography: "+e.metaText.discography+"\n"),e.metaText.notes&&(d+="Notes: "+e.metaText.notes+"\n"),e.metaText.transcription&&(d+="Transcription: "+e.metaText.transcription+"\n"),e.metaText.history&&(d+="History: "+e.metaText.history+"\n"),e.metaText["abc-copyright"]&&(d+="Copyright: "+e.metaText["abc-copyright"]+"\n"),e.metaText["abc-creator"]&&(d+="Creator: "+e.metaText["abc-creator"]+"\n"),e.metaText["abc-edited-by"]&&(d+="Edited By: "+e.metaText["abc-edited-by"]+"\n"),this.outputTextIf(this.padding.left,d,"historyfont","meta-bottom",this.spacing.info,0,"start"),e.metaText.footer&&this.isPrint&&(this.outputTextIf(this.padding.left,e.metaText.footer.left,"footerfont","header meta-bottom",0,null,"start"),this.outputTextIf(this.padding.left+t/2,e.metaText.footer.center,"footerfont","header meta-bottom",0,null,"middle"),this.outputTextIf(this.padding.left+t,e.metaText.footer.right,"footerfont","header meta-bottom",0,null,"end"))},c.prototype.outputFreeText=function(t){if(""===t){var e=this.getFontAndAttr("textfont","defined-text");this.moveY(2*e.attr["font-size"])}else if("string"==typeof t)this.outputTextIf(this.padding.left,t,"textfont","defined-text",0,1,"start");else{for(var i="",r=!1,s=0;s1&&i.indexOf(".")<0){this.paper.openGroup();for(var l=0,d=0;d=0;s--)this.printStaveLine(t,e,2*(s+1),r),r=void 0;this.paper.closeGroup()}else this.printStaveLine(t,e,6,r)},c.prototype.addClasses=function(t,e){if(!this.shouldAddClasses)return"";var i=[];if(t.length>0&&i.push(t),null!==this.lineNumber&&void 0!==this.lineNumber&&i.push("l"+this.lineNumber),null!==this.measureNumber&&void 0!==this.measureNumber&&i.push("m"+this.measureNumber),null!==this.voiceNumber&&void 0!==this.voiceNumber&&i.push("v"+this.voiceNumber),(t.indexOf("note")>=0||t.indexOf("rest")>=0)&&null!==this.noteNumber&&void 0!==this.noteNumber&&i.push("n"+this.noteNumber),i.length>0){i=(i=i.join(" ")).split(" ");for(var r=0;r0&&(i[r]="abcjs-"+i[r])}return i.join(" ")},c.prototype.getFontAndAttr=function(t,e){var i,r={"font-size":(i="string"==typeof t?(i=this.abctune.formatting[t])?{face:i.face,size:4*i.size/3,decoration:i.decoration,style:i.style,weight:i.weight,box:i.box}:{face:"Arial",size:16,decoration:"underline",style:"normal",weight:"normal"}:{face:t.face,size:4*t.size/3,decoration:t.decoration,style:t.style,weight:t.weight,box:t.box}).size,"font-style":i.style,"font-family":i.face,"font-weight":i.weight,"text-decoration":i.decoration,class:this.addClasses(e),font:""};return{font:i,attr:r}},c.prototype.getTextSize=function(t,e,i){var r=this.getFontAndAttr(e,i),s=this.paper.getTextSize(t,r.attr);return r.font.box&&(s.height+=8,s.width+=8),s},c.prototype.renderText=function(t,e,i,r,s,n,a){var c=this.getFontAndAttr(r,s);n&&(c.attr["text-anchor"]=n),c.attr.x=t,c.attr.y=e+7,a||(c.attr.dy="0.5em"),"debugfont"===r&&(console.log("Debug msg: "+i),c.attr.stroke="#ff0000"),i=(i=i.replace(/\n\n/g,"\n \n")).replace(/^\n/," \n"),c.font.box&&(c.attr.x+=2,c.attr.y+=4);var o=this.paper.text(i,c.attr);if(c.font.box){var h=o.getBBox();this.paper.rect({x:h.x-2,y:h.y,width:h.width+4,height:h.height+4-2,stroke:"#888888",fill:"transparent"})}return this.doRegression&&this.addToRegression(o),o},c.prototype.moveY=function(t,e){void 0===e&&(e=1),this.y+=t*e},c.prototype.skipSpaceY=function(){this.y+=this.space},c.prototype.outputTextIf=function(t,e,i,r,s,n,a){if(e){s&&this.moveY(s);var c=this.renderText(t,this.y,e,i,r,a).getBBox(),o=isNaN(c.width)?0:c.width,h=isNaN(c.height)?0:c.height;if(this.getFontAndAttr(i,r).font.box&&(o+=8,h+=8),null!==n){var l=e.split("\n").length;isNaN(c.height)||this.moveY(h/l,l+n)}return[o,h]}return[0,0]},c.prototype.addInvisibleMarker=function(t){var e=this.y;e=Math.round(e);var i=n("M %f %f L %f %f L %f %f L %f %f z",0,e-.35,100,e-.35,100,e+.35,0,e+.35);this.paper.pathToBack({path:i,stroke:"none",fill:"rgba(0,0,0,0)","fill-opacity":0,class:this.addClasses(t),"data-vertical":e})},c.prototype.printHorizontalLine=function(t,e,i){var r=.35,s="rgba(0,0,255,.4)",a=this.y;e&&(a=e),a=Math.round(a),this.paper.text(""+Math.round(a),{x:10,y:a,"text-anchor":"start","font-size":"18px",fill:s,stroke:s});var c=n("M %f %f L %f %f L %f %f L %f %f z",50,a-r,50+t,a-r,t,a+r,50,a+r);this.paper.pathToBack({path:c,stroke:"none",fill:s,class:this.addClasses("staff")});for(var o=1;o0&&(i===e||new RegExp("(^|\\s)"+e+"(\\s|$)").test(i))}(t,e)||(t.className+=(t.className?" 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+// and replacing it with a 
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+// generated sheet music. Remark's code syntax highlighting transforms the
+//  block into a bunch of
+//		
K: Emin

+// one per line, so we have to reassemble those to get back linebreaks.
+$( function() {
+   if ( $( "body.feature-music:not(.feature-nomusic)" ).length ) {
+      $( "code.language-abc, code.abc" ).each(function(i, e){
+         var $this = $(this);
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+			if ( $this.hasClass("remark-code") ) {
+				abc = "";
+				$this.children().each(function(i, e) {
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+         $this.parent().hide();
+         ABCJS.renderAbc("music-" + (i+1), abc, {
+            paddingtop: 0,
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+            paddingleft: 0,
+            responsive: "resize"
+         });
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+
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+// with a twitter permalink URL.
+$( function() {
+   if ( $( "body.feature-tweetquote:not(.feature-notweetquote)" ).length ) {
+      $("blockquote p:first-child a[href*='twitter.com']").each(function(i, e){
+         $(this.parentElement.parentElement).addClass("tweet sans-serif mw6");
+         $(this).addClass("no-underline b");
+         $(this).prepend('');
+         var m = $(this).attr('href').match(/twitter.com\/([^\/]*)\//);
+         if (m.length > 1) {
+            $(this).append('
@' + m[1] + '');
+         }
+      });
+   }
+});
+
+// Render perspective book images, if  has the class
+// feature-3dbook-covers
+$( function() {
+   $( "body.feature-3dbook-covers article a" ).has( "img[src~='3dbook']" ).each(function(i, e) {
+      $( this ).addClass("book");
+      $( this ).parent().addClass("books");
+   });
+});
+
+// Highlight code listings, if  has the class
+// feature-highlight
+$( function() {
+   if ( $( "body.feature-highlight:not(.feature-nohighlight)" ).length ) {
+		hljs.initHighlightingOnLoad();
+   }
+});
+
+/* Turn images into figures with captions. Several scenarios are handled, in
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+ * If the img is followed by an , then transform the  into a caption.
+ * If the img has a title, use that as the caption.
+ * If the img has an alt, use that.
+ * The following features have to be enabled:
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+ * - feature-figcaption-hidden makes the captions invisible till you hover
+ * - feature-fignum adds figure numbering
+ * - feature-figlink adds automatic links of text like "Figure 4"
+ */
+$( function() {
+   $("body.feature-figcaption:not(.feature-nofigcaption) article img").each(function(i, e) {
+      var $this = $(this);
+      // Don't put captions on images that have URL fragment pseudo-classes.
+      if ( $this.attr('src').match(/#/) ) return;
+      var $txt = false;
+      if ( $this.next().is("em") ) {
+         $txt = $this.next().html();
+         $this.next().remove();
+      } else {
+         $txt = $this.attr('title')   ? $this.attr('title')
+              : $this.attr('alt')     ? $this.attr('alt')
+              :                         false;
+      }
+      if ( $txt ) {
+         var $fig = $this.wrap('
')
+            .after('
' + $txt + '
')
+            .parent();
+      }
+   });
+   if ( $("body.feature-figlink").length ) {
+      $("article p, article li").each(function(i, e) {
+         var $old = $(this).html();
+         var $new = $old.replace(/Figure\s+(\d+)/g, 'Figure $1');
+         if ( $old !== $new ) {
+            $(this).html($new);
+         }
+      });
+   }
+});
+
+/* Add captions to tables.
+ * If the table is followed by a 
, then transform the  into a caption.
+ * The following features have to be enabled:
+ * - feature-tablecaption has to be enabled or the whole thing is disabled
+ * - feature-fignum adds table numbering
+ * - feature-figlink adds automatic links of text like "Table 4"
+ */
+$( function() {
+   $("body.feature-tablecaption article table").each(function(i, e) {
+      var $this = $(this);
+      var $txt = false;
+      if ( $this.next().is("p") ) {
+			if ( $this.next().children().first().is("em:only-child") ) {
+				$txt = $this.next().children().first().html();
+				$this.next().remove();
+			}
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+      if ( $txt ) {
+         $this.prepend('' + $txt + '');
+      }
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+   if ( $("body.feature-figlink").length ) {
+      $("article p, article li").each(function(i, e) {
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+         var $new = $old.replace(/Table\s+(\d+)/g, 'Table $1');
+         if ( $old !== $new ) {
+            $(this).html($new);
+         }
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+   }
+});
diff --git a/2 - Newton and Iterative methods/slides/text.md b/2 - Newton and Iterative methods/slides/text.md
new file mode 100644
index 0000000..cf62072
--- /dev/null
+++ b/2 - Newton and Iterative methods/slides/text.md	
@@ -0,0 +1,216 @@
+class: title, smokescreen, shelf, no-footer
+# Análise Numérica - Trabalho Prático 1
+### Diogo Cordeiro | Hugo Sales | Pedro Costa | Ricardo Pimenta
+
+---
+name: motivacao
+class: roomy
+
+# Motivação
+
+Pretende-se usar os métodos de Newton e iterativo simples para determinar um valor aproximado de um zero de
+
+$$x^2 - cos(x)^2$$
+
+---
+name: 1a
+class: compact
+
+# 1.a)
+Optamos por implementar o algoritmo pedido em C++ devido à possiblidade da aplicação de
+templates e lambdas. Deste modo, foi-nos possível implementar os dois métodos pedidos partindo
+de um algoritmo genérico pois a diferença entre o método de Newton
+e o método iterativo consiste apenas na fórmula de recorrência. Assim, o método de Newton
+pode ser visto como uma forma do método iterativo simples.
+
+        int main() {
+        	auto F = [](double x){ return std::pow(x, 2.0) - std::pow(std::cos(x), 2.0); };
+        	auto dF = [](double x){ return 2.0 * x + std::sin(2.0 * x); };
+        
+        	double epsilon = 5.0 * std::pow(10.0, -12.0);
+        
+        	std::cout << newton(0.8, epsilon, F, dF, 100000) << `\n`;
+        }
+
+---
+name: 1a
+class: compact
+# 1.a)
+
+        template
+        double find_root(double x0, double epsilon, step_func step, long iter_limit) {
+        	double x1 = x0, err;
+        	long iter = 1;
+        	do {
+        		x0 = x1;
+        		x1 = step(x0);
+        		err = std::abs(x1 - x0);
+        	} while(err > epsilon && iter++ < iter_limit);
+        	return x1;
+        }
+        
+        template
+        double newton(double x0, double epsilon, F_t F, dF_t dF, long iter_limit) {
+        	return find_root(x0, epsilon,
+                                 [&F, &dF](double x0){ return x0 - F(x0)/dF(x0); },
+                                 iter_limit);
+        }
+
+---
+name: 1b
+class: compact, img-right
+
+# 1.b)
+
+![Gráfico para `\(x \in [-1;1]\)`](./graph.png)
+
+Como `\(\forall{x}: cos^2(x) \in [0:1]\)`, temos que `\(x^2 \geq cos^2(x)\)` para `\(|x| > 1\)`, sabemos que o comportamento de `\(f(x)\)` é dominado pelo comportamento de `\(x^2\)`, a qual só tem duas raízes.
+
+A menor das raízes encontra-se no intervalo `\(]-\infty;0]\)` e a maior destas em `\([0;\infty[\)`.
+
+---
+name: 1b-cont
+class: compact, img-right
+
+# 1.b)
+
+![Gráfico para `\(x \in [0.7;0.8]\)`](./graph_small.png)
+
+Através da análise do gráfico, verificamos que o intervalo `\([0.7;0.8]\)` contém uma raíz. Definimos então `\(a = 0.7\)` e `\(b = 0.8\)`.
+
+---
+name: 1c
+class: compact
+
+# 1.c)
+
+Queremos mostrar que as condições de aplicabilidade do método de Newton são satisfeitas no intervalo. Assim,
+
+$$F(x) = x^2 - cos(x)^2$$
+
+$$F'(x) = 2 \cdot x + sin(2 \cdot x)$$
+
+$$F''(x) = 2 + 2 \cdot cos(2 \cdot x)$$
+
+Como todas estas funções são compostas partindo de somas de funções contínuas em `\(\mathbb{R}\)`, são também continuas no intervalo considerado, verificando-se assim o primeiro critério.
+
+Dado que,
+
+$$F(a) < 0, F(b) < 0 \Rightarrow F(a) \cdot F(b) < 0$$
+
+---
+name: 1c-cont
+class: compact
+
+# 1.c)
+
+Verifica-se também o segundo critério.
+
+Temos que `\(F''(x) = 2 + 2 \cdot cos(2 \cdot x)\)`, logo `\(cos(2 \cdot x) \in [-1;1]\)`, por isso `\(2 \cdot cos(2 \cdot x) \in [-2; 2]\)`, e `\(2 \cdot cos(2 \cdot x) + 2 \in [0;4]\)` o que implica que `\(F''(x) \geq 0\)`, para `\(x \in \mathbb{R}\)` e por isso `\(F'(x)\)` é não decrescente em `\(\mathbb{R}\)`, ou seja, `\(F'(b) \geq F'(a)\)` e `\(F'(a) > 3\)` e por isso `\(F'(x) \neq 0 \forall{x} : \in [a;b]\)`, o que verifica o terceiro critério.
+
+Como foi dito anteriormente, `\(F''(x) \geq 0\)` em `\(\mathbb{R}\)` e, por isso, também para `\(\forall{x} :  \in [a;b]\)`, verificando-se a quarta condição.
+
+Para `\(x_0 = b\)`, temos que `\(F(x_0) > 0\)` e `\(F''(x_0) > 0\)`, logo `\(F(x_0) \cdot F''(x_0) > 0\)`, verificando-se a quinta condição.
+
+Então a sucessão gerada converge para a unica raíz no intervalo `\([a;b]\)`.
+
+---
+name: 1d
+class: compact
+
+# 1.d)
+
+Aplicamos o programa apresentado em `\(1.a\)` e obtivemos os seguintes resultados. 
+
+Iterações | Erro estimado | Valor
+----------|---------------|---------------
+1         | 5.9e-02       | 0.740528800196
+2         | 1.4e-03       | 0.739086050826
+3         | 9.2e-07       | 0.739085133216
+4         | 3.7e-13       | 0.739085133215
+
+Verficamos que o erro estimado é aproximadamente metade do erro estimado da iteração amterior,
+o que justificamos com o facto de que o resultado teórico
+nos dizer que o erro converge segundo uma secessão de segunda ordem. 
+
+---
+name: 1e
+class: compact
+
+# 1.e)
+
+Aplicando a fórmula
+
+
\( M = \frac{1}{2} \cdot \frac{\max \limits_{a \leq x \leq b} | F''(x) | }{\min \limits_{a \leq x \leq b} | F'(x) | } \)

+
+Como `\(F''(x)\)` é decrescente em `\([0;\pi/2]\)`, então `\(\max\limits_{a \leq x \leq b} | F''(x) | = |F''(a)|\)` e como `\(F'(x)\)` é não decrescente em `\(\mathbb{R}\)`, `\(\min\limits_{a \leq x \leq b} | F'(x) | = F'(a)\)`.
+
+Assim, obtemos `\(M = \frac{F''(0.7)}{2F'(0.7)} \leq \frac{2.4}{2 \cdot 2.3} \leq 0.53\)` e
+`\(n \geq \frac{ln(\alpha)}{ln(2)}, \alpha = \frac{ln(5 \cdot 10^{-14}) + ln(0.53)}{ln(0.53) + ln(10^{-1})}\)`, logo `\(\alpha \leq \frac{-32}{2.9} \leq 12\)` e `\(n \geq 4\)`, ou seja que com 4 iterações conseguimos um erro absoluto inferior a `\(5 \cdot 10^{-14}\)`.
+
+---
+name: 2a
+class: compact
+
+# 2.a)
+
+Dada a implementação genérica do algoritmo, o método iterativo simples pode ser
+implementado sucintamente como:
+
+        template
+        double fixed_point(double x0, double epsilon, F_t f, long iter_limit) {
+        	return find_root(x0, epsilon, f, iter_limit);
+        }
+
+---
+name: 2a-cont
+class: compact
+
+# 2.a)
+
+e usado como
+
+        auto f = [](double x){ return std::cos(x); };
+        std::cout << fixed_point(0.8, epsilon, f, 100000) << `\n`;
+
+A expressão de `\(\texttt{f}\)` foi obtida por manipulação algébrica do seguinte modo:
+
+$$F(x) = 0 \iff x^2 - cos^2(x) = 0 \iff x^2 = cos^2(x) \iff x = \pm cos(x)$$
+
+Logo no intervalo `\([a;b]\)`, temos que `\(x = cos(x)\)` ou seja `\(f(x) = cos(x)\)`.
+
+
+---
+name: 2b
+class: img-right
+
+![Gŕafico da comparação do erro estimado dos dois métodos](err_fixed_point.png)
+
+# 2.b)
+
+Partindo destes resultados, verificamos empiricameente a diferença na ordem de convergência dos dois métodos.
+
+Obtivemos como valor final para este método o valor `\(0.739085133217\)`, que difere do valor calculado
+como o método de Newton em `\(-2 \cdot 10^{-12}\)`, por isso concluimos numericamente que, para os valores iniciais usados, este método pode ser aplicado, sendo que aproxima o valor real.
+
+---
+name: 2b
+class: img-right
+
+![Gŕafico da comparação do erro estimado dos dois métodos](err_fixed_point.png)
+
+# 2.b)
+
+Verificando as condições de aplicabilidade deste método, temos que `\(f(x)\)` é continua em `\([a;b]\)`, verificando-se a primeira condição,
+que `\(f(0.7) \approx 0.76484219\)` e `\(f(0.7) \approx 0.69670671\)` o que implica que `\(f([a;b]) \notin [a;b]\)`, o implica que não se verifica a segunda condição
+e que `\(\forall x \in [0.7;0.8] : |-sin(x)| < 1\)`, o que significa que se verifica a terceira condição.
+
+---
+name: 2b
+class: img-right
+
+![Gŕafico da comparação do erro estimado dos dois métodos](err_fixed_point.png)
+
+# 2.b)
+
+Apesar de não se verificar a segunda condição, verificamos na mesma a convergência da sucessão, o que não contradiz os resultados teóricos, uma vez que estas condições são suficientes, mas não necessárias para esta convergência.
diff --git a/2 - Newton and Iterative methods/source/roots.cpp b/2 - Newton and Iterative methods/source/roots.cpp
new file mode 100644
index 0000000..b8eb73d
--- /dev/null
+++ b/2 - Newton and Iterative methods/source/roots.cpp	
@@ -0,0 +1,45 @@
+#include 
+#include 
+#include 
+
+template
+double find_root(double x0, double epsilon, step_func step, long iter_limit) {
+	double x1 = x0, err;
+	long iter = 1;
+	std::cout << "Erros: ";
+	do {
+		x0 = x1;
+		x1 = step(x0);
+		err = std::abs(x1 - x0);
+
+		std::cout << iter << " "
+		          << std::setprecision(1) << std::scientific << err << " "
+		          << std::defaultfloat << std::setprecision(12) << x1 << '\n';
+	} while(err > epsilon && iter++ < iter_limit);
+	std::cout << '\n';
+	// std::cout << std::defaultfloat << std::setprecision(12);
+	return x1;
+}
+
+template
+double newton(double x0, double epsilon, F_t F, dF_t dF, long iter_limit) {
+	return find_root(x0, epsilon, [&F, &dF](double x0){ return x0 - F(x0)/dF(x0); }, iter_limit);
+}
+
+template
+double fixed_point(double x0, double epsilon, F_t F, long iter_limit) {
+	return find_root(x0, epsilon, F, iter_limit);
+}
+
+int main() {
+	auto F = [](double x){ return std::pow(x, 2.0) - std::pow(std::cos(x), 2.0); };
+	auto dF = [](double x){ return 2.0 * x + std::sin(2.0 * x); };
+	// std::cout.precision(17);
+
+	double epsilon = 5.0 * std::pow(10.0, -12.0);
+
+	std::cout << newton(0.8, epsilon, F, dF, 100000) << '\n';
+
+	auto F2 = [](double x){ return std::cos(x); };
+	std::cout << fixed_point(0.8, epsilon, F2, 100000) << '\n';
+}
diff --git a/3 - Splines/LICENSE b/3 - Splines/LICENSE
new file mode 100644
index 0000000..f288702
--- /dev/null
+++ b/3 - Splines/LICENSE	
@@ -0,0 +1,674 @@
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+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
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+.
diff --git a/3 - Splines/README.md b/3 - Splines/README.md
new file mode 100644
index 0000000..535f275
--- /dev/null
+++ b/3 - Splines/README.md	
@@ -0,0 +1,255 @@
+---
+title: "Análise Numérica - Trabalho Prático 3"
+author:
+- Diogo Cordeiro
+- Hugo Sales
+- Pedro Costa
+geometry: margin=2cm
+output: pdf_document
+---
+
+### Motivação
+
+Pretende-se interpolar uma função através do método de Newton em diferenças divididas,
+construir o spline cúbico natural e proceder a uma comparação e interpretação dos resultados obtidos.
+
+### 1.a)
+
+    using points_t = std::pair, std::vector>;
+    using matrix_t = std::vector>;
+
+    std::vector newton_differences(points_t points) {
+            std::vector factors{};
+            auto &[x, fx] = points;
+            int n = points.first.size();
+            for (int i = 1; i <= n; ++i) {
+                    factors.push_back(fx[0]);
+                    for (int j = 0; j < (n - i); ++j) {
+                            fx[j] = (fx[j + 1] - fx[j]) / (x[j + i] - x[j]);
+                    }
+
+            }
+            return factors;
+    }
+
+    double newton_polynomial(points_t points, std::vector factors, double x) {
+            auto xs = points.first;
+            int n = points.second.size() - 1;
+            double val = 0;
+            for (int k = 0; k <= n; ++k) {
+                    double acc = 1;
+                    for(int i = 0; i < k; ++i) {
+                            acc *= (x - xs[i]);
+                    }
+                    val += acc * factors[k];
+            }
+            return val;
+    }
+
+\pagebreak
+
+    void exercise_a(points_t points) {
+            auto &[xs, fx] = points;
+            auto factors = newton_differences(points);
+            std::ofstream poly{"a_polynomial.txt"};
+            for(double x = 0; x < 4; x += 0.001)
+                    poly << x << " " << newton_polynomial(points, factors, x) << '\n';
+
+            std::ofstream spline{"a_spline.txt"};
+            unsigned long n = xs.size();
+            matrix_t mat(n, std::vector(n + 1));
+            calculate_natural_cubic_spline_matrix(points, mat);
+            for(double x = 0; x < 4; x += 0.001)
+                    spline << x << " " << natural_cubic_spline(points, mat, x) << '\n';
+    }
+
+### 1.b)
+
+    void calculate_natural_cubic_spline_matrix(points_t points, matrix_t &mat) {
+            auto &[xs, fx] = points;
+            int n = xs.size();
+
+            // Construção da matriz
+            for (int i = 1; i < n - 1; ++i) {
+                    mat[i][i - 1] = (xs[i] - xs[i - 1])/6;
+                    mat[i][i] = (xs[i + 1] - xs[i - 1])/3;
+                    mat[i][i + 1] = (xs[i + 1] - xs[i])/6;
+                    mat[i][n] = (fx[i + 1] - fx[i])/(xs[i + 1] - xs[i]) -
+                                (fx[i] - fx[i - 1])/(xs[i] - xs[i - 1]);
+            }
+            mat[0][0] = 1;
+            mat[0][n - 1] = 0;
+            mat[n - 1][n - 1] = 1;
+            mat[n - 1][n] = 0;
+
+            // Passar para a forma triangular
+            for (int k = 0; k < n; ++k) {
+                    for (int i = k + 1; i < n; ++i) {
+                            if (mat[k][k] != 0) {
+                                    double mul = mat[i][k]/mat[k][k];
+                                    for (int j = k; j < n; ++j) {
+                                            mat[i][j] -= mul * mat[k][j];
+                                    }
+                                    mat[i][n] -= mul * mat[k][n];
+                            }
+                    }
+            }
+
+\pagebreak
+
+            // Resolução da matriz
+            for (int i = n - 1; i > 0; --i) {
+                    if (mat[i][i] != 0) {
+                            double mul = mat[i - 1][i]/mat[i][i];
+                            for (int j = 0; j < n + 1; ++j) {
+                                    mat[i - 1][j] -= mul * mat[i][j];
+                            }
+                            mat[i][n] /= mat[i][i];
+                            mat[i][i] = 1;
+                    }
+            }
+    }
+
+    double natural_cubic_spline(points_t points, matrix_t &mat, double x) {
+
+            auto &[xs, fx] = points;
+            int n = xs.size();
+
+            int i = 0;
+            for (int i_ = 0; i_ < n; ++i_) {
+                    if (xs[i_] > x){
+                            i = i_;
+                            break;
+                    }
+            }
+
+            double hi = xs[i] - xs[i - 1];
+            return mat[i - 1][n] * std::pow((xs[i] - x), 3)/(6 * hi) +
+                   mat[i][n] * std::pow((x - xs[i - 1]), 3)/(6 * hi) +
+                   (fx[i - 1] - mat[i - 1][n] * (hi * hi)/6)*(xs[i] - x)/hi +
+                   (fx[i] - mat[i][n] * (hi * hi)/6)*(x - xs[i - 1])/hi;
+
+    }
+
+    void exercise_b() {
+            points_t points;
+            auto &[xs, fx] = points;
+            auto f = [](double x) { return 4 * std::pow(x, 2) + std::sin(9 * x); };
+
+            for (double x = -1; x <= 1; x += (1 - -1)/8.0) {
+                    xs.push_back(x);
+                    fx.push_back(f(x));
+            }
+
+            std::ofstream poly{"b_polynomial.txt"};
+            auto factors = newton_differences(points);
+            for(double x = -1; x < 1; x += 0.001)
+                    poly << x << " " << newton_polynomial(points, factors, x) << '\n';
+
+            std::ofstream spline{"b_spline.txt"};
+            unsigned long n = xs.size();
+            matrix_t mat(n, std::vector(n + 1));
+            calculate_natural_cubic_spline_matrix(points, mat);
+            for(double x = -1; x < 1; x += 0.001)
+                    spline << x << " " << natural_cubic_spline(points, mat, x) << '\n';
+    }
+
+### 2.a)
+
+![Comparação Polinómio e Spline](a.png){ width=10cm }
+
+Através dos graficos é possivel verificar que os valores das funções coincidem
+no pontos de interpolação, como era esperado. Não é possivel determinal qual a
+melhor aproximação sem conhecer a função original. O programa foi modificado para
+imprimir a matriz inicial assim como o resultado final, que foi utilizado para calcular
+o vetor resíduo e a norma deste. Este script encontra-se em baixo.
+
+    #!/usr/bin/env python3
+    
+    import numpy as np
+    from scipy.linalg import solve
+    from numpy.linalg import norm
+    
+    # Matriz construída pelo programa em C++
+    A = np.matrix([[1,        0,        0,         0,         0,         0],
+                   [0.166667, 0.666667, 0.166667,  0,         0,         0],
+                   [0,        0.166667, 0.5,       0.0833333, 0,         0],
+                   [0,        0,        0.0833333, 0.333333,  0.0833333, 0],
+                   [0,        0,        0,         0.0833333, 0.5,       0.166667],
+                   [0,        0,        0,         0,         0,         1]])
+    
+    b = np.array([0, 1.2, -1.2, 0.8, 0.4, 0])
+    
+    x2 = np.array([0, 2.76846, -3.87386, 3.30622, 0.248963, 0])
+    
+    x = solve(A, b)
+    
+    print(norm(x - x2))
+
+Obteu-se para a norma do vetor resíduo o valor $1.0e-05$ que
+é considerado aceitável visto que os dados são apresentados
+com dois algarismos significativos.
+
+\pagebreak
+
+### 2.b)
+
+#### i)
+
+$$
+\begin{array}{c|ccccccccc}{x_{i}} & {-1} & {-0.75} & {-0.5} & {-0.25} & {0} &
+{0.25} & {0.5} & {0.75} & {1} \\ \hline {f_{i}} & {3.58788} & {1.79996} &
+{1.97753} & {-0.528073} & {0} & {1.02807} & {0.0224699} & {2.70004} & {4.41212}
+\end{array}
+$$
+
+#### ii)
+
+![Comparação de polinomio, spline e a função](b.png){ width=10cm }
+
+De forma análoga ao exercício 2.a) foi calculada a norma do vetor resíduo
+usando o seguinte script:
+
+    A = np.matrix(
+    [[1,         0,         0,         0,         0,         0,         0,         0,         0],
+     [0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0,         0,         0],
+     [0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0,         0],
+     [0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0],
+     [0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0],
+     [0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0],
+     [0,         0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0],
+     [0,         0,         0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667],
+     [0,         0,         0,         0,         0,         0,         0,         0,         1]])
+    
+    b = np.array([0, 7.862, -10.7327, 12.1347, 2, -8.13471, 14.7327, -3.862, 0])
+    
+    x2 = np.array([0, 73.9996, -107.31, 97.6564, 7.91753, -81.3265, 122.156, -53.7109, 0])
+    
+    x = solve(A, b)
+    
+    print(norm(x - x2))
+
+Obteu-se para a norma do vetor resíduo o valor $9.0e-04$ que
+é considerado aceitável visto que este valor tem uma magnitude pequena.
+
+\pagebreak
+
+#### iii)
+
+x    | f(x)       | p(x)     | abs(f(x)-p(x))     | s(x)              | f(x)-s(x)
+-----|------------|----------|--------------------|-------------------|-------------------
+0.30 | 0.78737988 | 0.923318 | $$ 1.4*10^{-1} $$  | 0.826621          | $$ 4.0*10^{-2} $$
+0.83 | 3.68278040 | 4.834190 | 1.2                | $$ 2.4*10^{-1} $$ | $$ 2.4*10^{-1} $$
+
+Verificamos que o erro do spline cubico é inferior em ambos os casos. Além disso
+em ambos os casos o erro é maior quando a abcissa é mais distante do centro do
+intervalo.
+
+#### iv)
+
+
+É possivel observar que a interpolação pelo spline aproxima, em geral, melhor a
+função dada do que o polinomio. Em particular verifica-se que o erro do polinomio
+acentua-se à medida que as abcissas se afastam do centro do intervalo de
+interpolação.
+
diff --git a/3 - Splines/a.png b/3 - Splines/a.png
new file mode 100644
index 0000000..6945605
Binary files /dev/null and b/3 - Splines/a.png differ
diff --git a/3 - Splines/b.png b/3 - Splines/b.png
new file mode 100644
index 0000000..556e0c3
Binary files /dev/null and b/3 - Splines/b.png differ
diff --git a/3 - Splines/graphics/a_polynomial.txt b/3 - Splines/graphics/a_polynomial.txt
new file mode 100644
index 0000000..95fd72c
--- /dev/null
+++ b/3 - Splines/graphics/a_polynomial.txt	
@@ -0,0 +1,4001 @@
+0 1.4
+0.001 1.39219
+0.002 1.38441
+0.003 1.37666
+0.004 1.36893
+0.005 1.36123
+0.006 1.35356
+0.007 1.34591
+0.008 1.33829
+0.009 1.3307
+0.01 1.32313
+0.011 1.31559
+0.012 1.30807
+0.013 1.30058
+0.014 1.29312
+0.015 1.28568
+0.016 1.27827
+0.017 1.27088
+0.018 1.26352
+0.019 1.25619
+0.02 1.24888
+0.021 1.2416
+0.022 1.23434
+0.023 1.22711
+0.024 1.2199
+0.025 1.21272
+0.026 1.20557
+0.027 1.19844
+0.028 1.19133
+0.029 1.18426
+0.03 1.1772
+0.031 1.17017
+0.032 1.16317
+0.033 1.15619
+0.034 1.14924
+0.035 1.14231
+0.036 1.13541
+0.037 1.12853
+0.038 1.12168
+0.039 1.11485
+0.04 1.10805
+0.041 1.10127
+0.042 1.09452
+0.043 1.08779
+0.044 1.08109
+0.045 1.07441
+0.046 1.06775
+0.047 1.06112
+0.048 1.05452
+0.049 1.04793
+0.05 1.04138
+0.051 1.03484
+0.052 1.02834
+0.053 1.02185
+0.054 1.01539
+0.055 1.00895
+0.056 1.00254
+0.057 0.996154
+0.058 0.98979
+0.059 0.983449
+0.06 0.977133
+0.061 0.97084
+0.062 0.964571
+0.063 0.958326
+0.064 0.952105
+0.065 0.945907
+0.066 0.939733
+0.067 0.933582
+0.068 0.927455
+0.069 0.921351
+0.07 0.915271
+0.071 0.909214
+0.072 0.90318
+0.073 0.897169
+0.074 0.891182
+0.075 0.885218
+0.076 0.879277
+0.077 0.87336
+0.078 0.867465
+0.079 0.861593
+0.08 0.855744
+0.081 0.849918
+0.082 0.844115
+0.083 0.838335
+0.084 0.832577
+0.085 0.826842
+0.086 0.82113
+0.087 0.815441
+0.088 0.809774
+0.089 0.804129
+0.09 0.798508
+0.091 0.792908
+0.092 0.787331
+0.093 0.781776
+0.094 0.776244
+0.095 0.770734
+0.096 0.765246
+0.097 0.75978
+0.098 0.754336
+0.099 0.748915
+0.1 0.743515
+0.101 0.738138
+0.102 0.732782
+0.103 0.727448
+0.104 0.722137
+0.105 0.716847
+0.106 0.711578
+0.107 0.706332
+0.108 0.701107
+0.109 0.695904
+0.11 0.690722
+0.111 0.685562
+0.112 0.680424
+0.113 0.675306
+0.114 0.670211
+0.115 0.665136
+0.116 0.660083
+0.117 0.655052
+0.118 0.650041
+0.119 0.645052
+0.12 0.640084
+0.121 0.635137
+0.122 0.630211
+0.123 0.625306
+0.124 0.620422
+0.125 0.615559
+0.126 0.610717
+0.127 0.605895
+0.128 0.601095
+0.129 0.596315
+0.13 0.591556
+0.131 0.586818
+0.132 0.5821
+0.133 0.577403
+0.134 0.572726
+0.135 0.56807
+0.136 0.563435
+0.137 0.558819
+0.138 0.554224
+0.139 0.54965
+0.14 0.545096
+0.141 0.540562
+0.142 0.536048
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diff --git a/3 - Splines/graphics/a_spline.txt b/3 - Splines/graphics/a_spline.txt
new file mode 100644
index 0000000..c33cb5e
--- /dev/null
+++ b/3 - Splines/graphics/a_spline.txt	
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diff --git a/3 - Splines/graphics/b_polynomial.txt b/3 - Splines/graphics/b_polynomial.txt
new file mode 100644
index 0000000..dd83436
--- /dev/null
+++ b/3 - Splines/graphics/b_polynomial.txt	
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diff --git a/3 - Splines/graphics/b_spline.txt b/3 - Splines/graphics/b_spline.txt
new file mode 100644
index 0000000..c0ffc7d
--- /dev/null
+++ b/3 - Splines/graphics/b_spline.txt	
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+0.627 1.11905
+0.628 1.13167
+0.629 1.14433
+0.63 1.15702
+0.631 1.16974
+0.632 1.18249
+0.633 1.19527
+0.634 1.20808
+0.635 1.22091
+0.636 1.23377
+0.637 1.24666
+0.638 1.25958
+0.639 1.27252
+0.64 1.28548
+0.641 1.29847
+0.642 1.31148
+0.643 1.32452
+0.644 1.33757
+0.645 1.35065
+0.646 1.36374
+0.647 1.37686
+0.648 1.38999
+0.649 1.40314
+0.65 1.41631
+0.651 1.4295
+0.652 1.4427
+0.653 1.45592
+0.654 1.46915
+0.655 1.4824
+0.656 1.49566
+0.657 1.50893
+0.658 1.52221
+0.659 1.5355
+0.66 1.54881
+0.661 1.56212
+0.662 1.57544
+0.663 1.58878
+0.664 1.60211
+0.665 1.61546
+0.666 1.62881
+0.667 1.64217
+0.668 1.65553
+0.669 1.66889
+0.67 1.68226
+0.671 1.69563
+0.672 1.70901
+0.673 1.72238
+0.674 1.73575
+0.675 1.74913
+0.676 1.7625
+0.677 1.77587
+0.678 1.78924
+0.679 1.80261
+0.68 1.81597
+0.681 1.82933
+0.682 1.84268
+0.683 1.85603
+0.684 1.86937
+0.685 1.8827
+0.686 1.89603
+0.687 1.90935
+0.688 1.92265
+0.689 1.93595
+0.69 1.94924
+0.691 1.96251
+0.692 1.97577
+0.693 1.98902
+0.694 2.00226
+0.695 2.01548
+0.696 2.02869
+0.697 2.04188
+0.698 2.05505
+0.699 2.06821
+0.7 2.08135
+0.701 2.09447
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+0.703 2.12066
+0.704 2.13372
+0.705 2.14676
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+0.707 2.17277
+0.708 2.18574
+0.709 2.19869
+0.71 2.21161
+0.711 2.22451
+0.712 2.23738
+0.713 2.25022
+0.714 2.26304
+0.715 2.27583
+0.716 2.28858
+0.717 2.30131
+0.718 2.31401
+0.719 2.32668
+0.72 2.33931
+0.721 2.35192
+0.722 2.36449
+0.723 2.37702
+0.724 2.38952
+0.725 2.40199
+0.726 2.41442
+0.727 2.42681
+0.728 2.43916
+0.729 2.45148
+0.73 2.46376
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+0.733 2.50035
+0.734 2.51246
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+0.736 2.53656
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+0.738 2.56049
+0.739 2.57238
+0.74 2.58423
+0.741 2.59604
+0.742 2.60779
+0.743 2.6195
+0.744 2.63116
+0.745 2.64277
+0.746 2.65433
+0.747 2.66583
+0.748 2.67729
+0.749 2.68869
+0.75 2.70004
+0.751 2.71134
+0.752 2.72259
+0.753 2.73378
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+0.755 2.756
+0.756 2.76703
+0.757 2.77801
+0.758 2.78894
+0.759 2.79981
+0.76 2.81064
+0.761 2.82141
+0.762 2.83213
+0.763 2.8428
+0.764 2.85342
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+0.766 2.8745
+0.767 2.88497
+0.768 2.89539
+0.769 2.90575
+0.77 2.91607
+0.771 2.92634
+0.772 2.93656
+0.773 2.94673
+0.774 2.95685
+0.775 2.96692
+0.776 2.97695
+0.777 2.98692
+0.778 2.99685
+0.779 3.00673
+0.78 3.01657
+0.781 3.02635
+0.782 3.03609
+0.783 3.04578
+0.784 3.05543
+0.785 3.06503
+0.786 3.07458
+0.787 3.08409
+0.788 3.09355
+0.789 3.10297
+0.79 3.11234
+0.791 3.12166
+0.792 3.13094
+0.793 3.14018
+0.794 3.14937
+0.795 3.15851
+0.796 3.16762
+0.797 3.17668
+0.798 3.18569
+0.799 3.19466
+0.8 3.20359
+0.801 3.21248
+0.802 3.22132
+0.803 3.23012
+0.804 3.23888
+0.805 3.2476
+0.806 3.25627
+0.807 3.2649
+0.808 3.27349
+0.809 3.28204
+0.81 3.29055
+0.811 3.29902
+0.812 3.30745
+0.813 3.31583
+0.814 3.32418
+0.815 3.33249
+0.816 3.34075
+0.817 3.34898
+0.818 3.35717
+0.819 3.36532
+0.82 3.37343
+0.821 3.3815
+0.822 3.38953
+0.823 3.39753
+0.824 3.40548
+0.825 3.4134
+0.826 3.42129
+0.827 3.42913
+0.828 3.43694
+0.829 3.44471
+0.83 3.45244
+0.831 3.46014
+0.832 3.4678
+0.833 3.47542
+0.834 3.48301
+0.835 3.49056
+0.836 3.49808
+0.837 3.50556
+0.838 3.51301
+0.839 3.52042
+0.84 3.5278
+0.841 3.53514
+0.842 3.54245
+0.843 3.54972
+0.844 3.55697
+0.845 3.56417
+0.846 3.57135
+0.847 3.57849
+0.848 3.5856
+0.849 3.59267
+0.85 3.59972
+0.851 3.60673
+0.852 3.61371
+0.853 3.62066
+0.854 3.62757
+0.855 3.63446
+0.856 3.64131
+0.857 3.64813
+0.858 3.65492
+0.859 3.66168
+0.86 3.66842
+0.861 3.67512
+0.862 3.68179
+0.863 3.68843
+0.864 3.69504
+0.865 3.70162
+0.866 3.70818
+0.867 3.7147
+0.868 3.7212
+0.869 3.72767
+0.87 3.73411
+0.871 3.74052
+0.872 3.7469
+0.873 3.75326
+0.874 3.75959
+0.875 3.76589
+0.876 3.77216
+0.877 3.77841
+0.878 3.78464
+0.879 3.79083
+0.88 3.797
+0.881 3.80315
+0.882 3.80927
+0.883 3.81536
+0.884 3.82143
+0.885 3.82747
+0.886 3.83349
+0.887 3.83948
+0.888 3.84545
+0.889 3.8514
+0.89 3.85732
+0.891 3.86322
+0.892 3.86909
+0.893 3.87495
+0.894 3.88078
+0.895 3.88658
+0.896 3.89236
+0.897 3.89813
+0.898 3.90386
+0.899 3.90958
+0.9 3.91528
+0.901 3.92095
+0.902 3.9266
+0.903 3.93223
+0.904 3.93785
+0.905 3.94344
+0.906 3.94901
+0.907 3.95455
+0.908 3.96008
+0.909 3.96559
+0.91 3.97108
+0.911 3.97655
+0.912 3.98201
+0.913 3.98744
+0.914 3.99285
+0.915 3.99825
+0.916 4.00363
+0.917 4.00899
+0.918 4.01433
+0.919 4.01965
+0.92 4.02496
+0.921 4.03025
+0.922 4.03552
+0.923 4.04077
+0.924 4.04601
+0.925 4.05124
+0.926 4.05644
+0.927 4.06163
+0.928 4.06681
+0.929 4.07197
+0.93 4.07711
+0.931 4.08224
+0.932 4.08736
+0.933 4.09246
+0.934 4.09754
+0.935 4.10261
+0.936 4.10767
+0.937 4.11271
+0.938 4.11774
+0.939 4.12276
+0.94 4.12776
+0.941 4.13275
+0.942 4.13773
+0.943 4.1427
+0.944 4.14765
+0.945 4.15259
+0.946 4.15752
+0.947 4.16244
+0.948 4.16735
+0.949 4.17224
+0.95 4.17713
+0.951 4.182
+0.952 4.18686
+0.953 4.19171
+0.954 4.19656
+0.955 4.20139
+0.956 4.20621
+0.957 4.21103
+0.958 4.21583
+0.959 4.22063
+0.96 4.22541
+0.961 4.23019
+0.962 4.23496
+0.963 4.23972
+0.964 4.24448
+0.965 4.24922
+0.966 4.25396
+0.967 4.25869
+0.968 4.26341
+0.969 4.26813
+0.97 4.27284
+0.971 4.27755
+0.972 4.28224
+0.973 4.28693
+0.974 4.29162
+0.975 4.2963
+0.976 4.30098
+0.977 4.30564
+0.978 4.31031
+0.979 4.31497
+0.98 4.31963
+0.981 4.32428
+0.982 4.32892
+0.983 4.33357
+0.984 4.33821
+0.985 4.34284
+0.986 4.34748
+0.987 4.35211
+0.988 4.35673
+0.989 4.36136
+0.99 4.36598
+0.991 4.3706
+0.992 4.37522
+0.993 4.37983
+0.994 4.38445
+0.995 4.38906
+0.996 4.39367
+0.997 4.39829
+0.998 4.4029
+0.999 4.40751
diff --git a/3 - Splines/graphics/graphs.gnuplot b/3 - Splines/graphics/graphs.gnuplot
new file mode 100755
index 0000000..9bc0de7
--- /dev/null
+++ b/3 - Splines/graphics/graphs.gnuplot	
@@ -0,0 +1,11 @@
+#!/usr/bin/gnuplot
+
+set output "a.png";
+set terminal png size 1200,900 enhanced font "Helvetica, 20";
+
+plot "a_polynomial.txt" with l lw 4 t "Polinomial", "a_spline.txt" with l lw 4 t "Spline Cúbico";
+
+set output "b.png";
+
+f(x) = 4*x**2 + sin(9*x)
+plot f(x) with l lw 4 t "f(x)", "b_polynomial.txt" with l lw 4 t "Polinomial", "b_spline.txt" with l lw 4 t "Spline Cúbico";
\ No newline at end of file
diff --git a/3 - Splines/print.pdf b/3 - Splines/print.pdf
new file mode 100644
index 0000000..0daf94c
Binary files /dev/null and b/3 - Splines/print.pdf differ
diff --git a/3 - Splines/source/input.txt b/3 - Splines/source/input.txt
new file mode 100644
index 0000000..96679b8
--- /dev/null
+++ b/3 - Splines/source/input.txt	
@@ -0,0 +1,6 @@
+0 1.4
+1 0.6
+2 1.0
+2.5 0.6
+3 0.6
+4 1.0
diff --git a/3 - Splines/source/matriz.txt b/3 - Splines/source/matriz.txt
new file mode 100644
index 0000000..4c2b702
--- /dev/null
+++ b/3 - Splines/source/matriz.txt	
@@ -0,0 +1,51 @@
+mat:
+1,0,0,0,0,0,
+0.166667,0.666667,0.166667,0,0,0,
+0,0.166667,0.5,0.0833333,0,0,
+0,0,0.0833333,0.333333,0.0833333,0,
+0,0,0,0.0833333,0.5,0.166667,
+0,0,0,0,0,1,
+b:
+0
+1.2
+-1.2
+0.8
+0.4
+0
+x:
+0
+2.76846
+-3.87386
+3.30622
+0.248963
+0
+mat:
+1,0,0,0,0,0,0,0,0,
+0.0416667,0.166667,0.0416667,0,0,0,0,0,0,
+0,0.0416667,0.166667,0.0416667,0,0,0,0,0,
+0,0,0.0416667,0.166667,0.0416667,0,0,0,0,
+0,0,0,0.0416667,0.166667,0.0416667,0,0,0,
+0,0,0,0,0.0416667,0.166667,0.0416667,0,0,
+0,0,0,0,0,0.0416667,0.166667,0.0416667,0,
+0,0,0,0,0,0,0.0416667,0.166667,0.0416667,
+0,0,0,0,0,0,0,0,1,
+b:
+0
+7.862
+-10.7327
+12.1347
+2
+-8.13471
+14.7327
+-3.862
+0
+x:
+0
+73.9996
+-107.31
+97.6564
+7.91753
+-81.3265
+122.156
+-53.7109
+0
diff --git a/3 - Splines/source/new.foo b/3 - Splines/source/new.foo
new file mode 100644
index 0000000..e69de29
diff --git a/3 - Splines/source/newton.cpp b/3 - Splines/source/newton.cpp
new file mode 100644
index 0000000..08d07a5
--- /dev/null
+++ b/3 - Splines/source/newton.cpp	
@@ -0,0 +1,211 @@
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+#include 
+
+using namespace std::literals;
+
+using points_t = std::pair, std::vector>;
+using matrix_t = std::vector>;
+
+std::vector newton_differences(points_t points) {
+        std::vector factors{};
+        auto &[x, fx] = points;
+        int n = points.first.size();
+        for (int i = 1; i <= n; ++i) {
+                factors.push_back(fx[0]);
+                for (int j = 0; j < (n - i); ++j) {
+                        fx[j] = (fx[j + 1] - fx[j]) / (x[j + i] - x[j]);
+                }
+
+        }
+        return factors;
+}
+
+double newton_polynomial(points_t points, std::vector factors, double x) {
+        auto xs = points.first;
+        int n = points.second.size() - 1;
+        double val = 0;
+        for (int k = 0; k <= n; ++k) {
+                double acc = 1;
+                for(int i = 0; i < k; ++i) {
+                        acc *= (x - xs[i]);
+                }
+                val += acc * factors[k];
+        }
+        return val;
+}
+
+void calculate_natural_cubic_spline_matrix(points_t points, matrix_t &mat) {
+        auto &[xs, fx] = points;
+        int n = xs.size();
+
+        // Construção da matriz
+        for (int i = 1; i < n - 1; ++i) {
+                mat[i][i - 1] = (xs[i] - xs[i - 1])/6;
+                mat[i][i]     = (xs[i + 1] - xs[i - 1])/3;
+                mat[i][i + 1] = (xs[i + 1] - xs[i])/6;
+                mat[i][n]     = (fx[i + 1] - fx[i])/(xs[i + 1] - xs[i]) - (fx[i] - fx[i - 1])/(xs[i] - xs[i - 1]);
+        }
+        mat[0][0] = 1;
+        mat[0][n - 1] = 0;
+        mat[n - 1][n - 1] = 1;
+        mat[n - 1][n] = 0;
+
+        std::ofstream matriz("matriz.txt", std::ios_base::app);
+
+        matriz << "mat:\n";
+        for (auto i : mat){
+	        for (auto j = i.begin(); j != i.end() - 1; ++ j)
+		        matriz << *j << ",";
+	        matriz << "\n";
+        }
+
+        matriz << "b:\n";
+        for (auto i : mat){
+	        matriz << i[n] << '\n';
+        }
+
+        // Passar para a forma triangular
+        for (int k = 0; k < n; ++k) {
+                for (int i = k + 1; i < n; ++i) {
+                        if (mat[k][k] != 0) {
+                                double mul = mat[i][k]/mat[k][k];
+                                for (int j = k; j < n; ++j) {
+                                        mat[i][j] -= mul * mat[k][j];
+                                }
+                                mat[i][n] -= mul * mat[k][n];
+                        }
+                }
+        }
+
+        // Resolução da matriz
+        for (int i = n - 1; i > 0; --i) {
+                if (mat[i][i] != 0) {
+                        double mul = mat[i - 1][i]/mat[i][i];
+                        for (int j = 1; j < n + 1; ++j) {
+                                mat[i - 1][j] -= mul * mat[i][j];
+                        }
+                        mat[i - 1][i] = 0;
+                        mat[i][n] /= mat[i][i];
+                        mat[i][i] = 1;
+                }
+        }
+
+        matriz << "x:\n";
+        for (auto i : mat){
+	        matriz << i[n] << '\n';
+        }
+}
+
+double natural_cubic_spline(points_t points, matrix_t &mat, double x) {
+
+        auto &[xs, fx] = points;
+        int n = xs.size();
+
+        int i = 0;
+        for (int i_ = 0; i_ < n; ++i_) {
+                if (xs[i_] > x){
+                        i = i_;
+                        break;
+                }
+        }
+
+        double hi = xs[i] - xs[i - 1];
+        return mat[i - 1][n] * std::pow((xs[i] - x), 3)/(6 * hi) +
+               mat[i][n] * std::pow((x - xs[i - 1]), 3)/(6 * hi) +
+               (fx[i - 1] - mat[i - 1][n] * (hi * hi)/6)*(xs[i] - x)/hi +
+               (fx[i] - mat[i][n] * (hi * hi)/6)*(x - xs[i - 1])/hi;
+
+}
+
+void exercise_a(points_t points) {
+        auto &[xs, fx] = points;
+        auto factors = newton_differences(points);
+        std::ofstream poly{"a_polynomial.txt"};
+        for(double x = 0; x < 4; x += 0.001)
+                poly << x << " " << newton_polynomial(points, factors, x) << '\n';
+
+        std::ofstream spline{"a_spline.txt"};
+        unsigned long n = xs.size();
+        matrix_t mat(n, std::vector(n + 1));
+        calculate_natural_cubic_spline_matrix(points, mat);
+        for(double x = 0; x < 4; x += 0.001)
+	        spline << x << " " << natural_cubic_spline(points, mat, x) << '\n';
+}
+
+void exercise_b() {
+        points_t points;
+        auto &[xs, fx] = points;
+        auto f = [](double x) { return 4 * std::pow(x, 2) + std::sin(9 * x); };
+
+        for (double x = -1; x <= 1; x += (1 - -1)/8.0) {
+                xs.push_back(x);
+                fx.push_back(f(x));
+        }
+
+        std::ofstream poly{"b_polynomial.txt"};
+        auto factors = newton_differences(points);
+        for(double x = -1; x < 1; x += 0.001)
+                poly << x << " " << newton_polynomial(points, factors, x) << '\n';
+
+        std::ofstream spline{"b_spline.txt"};
+        unsigned long n = xs.size();
+        matrix_t mat(n, std::vector(n + 1));
+        calculate_natural_cubic_spline_matrix(points, mat);
+        for(double x = -1; x < 1; x += 0.001)
+                spline << x << " " << natural_cubic_spline(points, mat, x) << '\n';
+
+        std::cout << "Erros poly: "
+                  << std::abs(std::round((f(0.3) - newton_polynomial(points, factors, 0.3)) * 100.0) / 100.0) << " "
+                  << std::abs(std::round((f(0.83) - newton_polynomial(points, factors, 0.83)) * 100.0) / 100.0) << '\n';
+
+        std::cout << "Erros spline: "
+                  << std::abs(std::round((f(0.3) - natural_cubic_spline(points, mat, 0.3))*100.0)/100.0) << " "
+                  << std::abs(std::round((f(0.83) - natural_cubic_spline(points, mat,0.83))*100.0)/100.0) << '\n';
+
+        std::cout << "p(0.3) = " << newton_polynomial(points, factors, 0.3) << ' '
+                  << "p(0.83) = " << newton_polynomial(points, factors, 0.83) << '\n';
+
+        std::cout << "p(0.3) = " << natural_cubic_spline(points, mat, 0.3) << ' '
+                  << "p(0.83) = " << natural_cubic_spline(points, mat, 0.83) << '\n';
+}
+
+int main(int argc, char **argv) {
+        std::istream *s;
+        std::ifstream file;
+        if (argc == 2) {
+                if (argv[1] == "-"s) {
+                        s = &std::cin;
+                } else {
+                        file.open(argv[1]);
+                        s = &file;
+                }
+        } else{
+                std::cerr << "An argument required\n";
+                return 1;
+        }
+
+        points_t points;
+        std::pair p;
+        while(true) {
+                *s >> p.first >> p.second;
+                if(s->eof())
+                        break;
+
+                points.first.push_back(p.first);
+                points.second.push_back(p.second);
+        }
+
+        exercise_a(points);
+        exercise_b();
+
+}
diff --git a/3 - Splines/source/old.foo b/3 - Splines/source/old.foo
new file mode 100644
index 0000000..8486caf
--- /dev/null
+++ b/3 - Splines/source/old.foo	
@@ -0,0 +1,17 @@
+Mat:
+1,0,0,0,0,0,0,
+0,1,-7.14916e-18,2.73077e-18,-4.18062e-19,0,2.76846,
+0,0,1,-7.50963e-18,1.14967e-18,0,-3.87386,
+0,0,-3.57458e-18,1,-4.38965e-18,0,3.30622,
+0,0,0,-7.50963e-18,1,0,0.248963,
+0,0,0,0,0,1,0,
+Mat:
+1,0,0,0,0,0,0,0,0,0,
+0,1,-1.73472e-18,4.64061e-19,2.85733e-19,5.30686e-20,-1.26382e-20,-4.49207e-21,0,73.9996,
+0,0,1,-1.74023e-18,-1.0715e-18,-1.99007e-19,4.73931e-20,1.68453e-20,0,-107.31,
+0,0,-1.73472e-18,1,4.00026e-18,7.4296e-19,-1.76934e-19,-6.2889e-20,0,97.6564,
+0,0,0,-1.74023e-18,1,-2.77283e-18,6.60344e-19,2.34711e-19,0,7.91753,
+0,0,0,0,4.00026e-18,1,-2.46444e-18,-8.75954e-19,0,-81.3265,
+0,0,0,0,0,-2.77283e-18,1,3.26911e-18,0,122.156,
+0,0,0,0,0,0,-2.46444e-18,1,0,-53.7109,
+0,0,0,0,0,0,0,0,1,0,
diff --git a/3 - Splines/source/residue.py b/3 - Splines/source/residue.py
new file mode 100755
index 0000000..f25a3cf
--- /dev/null
+++ b/3 - Splines/source/residue.py	
@@ -0,0 +1,39 @@
+#!/usr/bin/env python3
+
+import numpy as np
+from scipy.linalg import solve
+from numpy.linalg import norm
+
+# Matriz construída pelo programa em C++
+A = np.matrix([[1,        0,        0,         0,         0,         0],
+               [0.166667, 0.666667, 0.166667,  0,         0,         0],
+               [0,        0.166667, 0.5,       0.0833333, 0,         0],
+               [0,        0,        0.0833333, 0.333333,  0.0833333, 0],
+               [0,        0,        0,         0.0833333, 0.5,       0.166667],
+               [0,        0,        0,         0,         0,         1]])
+
+b = np.array([0, 1.2, -1.2, 0.8, 0.4, 0])
+
+x2 = np.array([0, 2.76846, -3.87386, 3.30622, 0.248963, 0])
+
+x = solve(A, b)
+
+print(norm(x - x2))
+
+A = np.matrix([[1,         0,         0,         0,         0,         0,         0,         0,         0],
+               [0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0,         0,         0],
+               [0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0,         0],
+               [0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0,         0],
+               [0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0,         0],
+               [0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0,         0],
+               [0,         0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667, 0],
+               [0,         0,         0,         0,         0,         0,         0.0416667, 0.166667,  0.0416667],
+               [0,         0,         0,         0,         0,         0,         0,         0,         1]])
+
+b = np.array([0, 7.862, -10.7327, 12.1347, 2, -8.13471, 14.7327, -3.862, 0])
+
+x2 = np.array([0, 73.9996, -107.31, 97.6564, 7.91753, -81.3265, 122.156, -53.7109, 0])
+
+x = solve(A, b)
+
+print(norm(x - x2))
diff --git a/3 - Splines/source/test.foo b/3 - Splines/source/test.foo
new file mode 100644
index 0000000..d4aa0d9
--- /dev/null
+++ b/3 - Splines/source/test.foo	
@@ -0,0 +1,17 @@
+Mat:
+1,0,0,0,0,0,0,
+0,1,0,0,0,0,2.76846,
+0,0,1,0,0,0,-3.87386,
+0,0,-3.57458e-18,1,0,0,3.30622,
+0,0,0,-7.50963e-18,1,0,0.248963,
+0,0,0,0,0,1,0,
+Mat:
+1,0,0,0,0,0,0,0,0,0,
+0,1,0,0,0,0,0,0,0,73.9996,
+0,0,1,0,0,0,0,0,0,-107.31,
+0,0,-1.73472e-18,1,0,0,0,0,0,97.6564,
+0,0,0,-1.74023e-18,1,0,0,0,0,7.91753,
+0,0,0,0,4.00026e-18,1,0,0,0,-81.3265,
+0,0,0,0,0,-2.77283e-18,1,0,0,122.156,
+0,0,0,0,0,0,-2.46444e-18,1,0,-53.7109,
+0,0,0,0,0,0,0,0,1,0,
diff --git a/4 - Simpson and Trapezoidal rules/README.md b/4 - Simpson and Trapezoidal rules/README.md
new file mode 100755
index 0000000..2bdb580
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/README.md	
@@ -0,0 +1,150 @@
+---
+title: "Análise Numérica - Trabalho Prático 3"
+author:
+- Diogo Cordeiro
+- Hugo Sales
+- Pedro Costa
+geometry: margin=2cm
+output: pdf_document
+---
+
+### Motivação
+
+Pretende-se compreender o funcionamento conceptual bem como os desafios da implementação de dois métodos de integração
+numéricos: `Regra de Simpson` e `Regra dos Trapézios.`
+
+### 1
+
+
+
+Através da análise do gráfico abaixo, verificamos que o majorante, em valor absoluto, da 4ª derivada
+da função é menor que 12, este valor é usado para majorar a formula do erro para o calculo de n.
+
+![Quarta derivada da função enunciada](majorante_erro_1.png){ width=8cm }
+
+
+    /* Função que implementa o método de Simpson */
+    double simpson (Function f, double a, double b, int n)
+    {
+        // Intervalo de passo
+        double h = (b - a)/n;
+        // Valor de f nos pontos de indice par
+        double evens = summation(f, 2, n - 2, 2, h, a);
+        // Valor de f nos pontos de indice impar
+        double odds = summation(f, 1, n - 1, 2, h, a);
+        // Aplicação da método de Simpson
+        value = (h/3)*(f(a) + f(b) + 2 * evens + 4 * odds);
+    }
+
+\pagebreak
+
+    /* Função para calcular o sumatório de F entre os pontos de indice init
+       e stop saltando step pontos, usando h como intervalo de passo */
+    double summation (Function f, int init, int stop, int step, double h, double a)
+    {
+        // Acumulador
+        double total = 0;
+        for (int i = init; i <= stop; i += step) {
+            // Adicionamos o valor de f correspondente ao x de indice i
+            total += f(a + i * h);
+        }
+        return total;
+    }
+
+    /* Função para calcular o número de pontos necessários para o calculo
+       do integral com erro menor que error */
+    int calculateN (double A, double B, double error) {
+        int n = ceil( (B - A) / pow((15.0 * error) / 2.0, 1.0 / 4) );
+        return n + (n % 2);
+    }
+
+    void main ()
+    {
+        Function f(x) = sin(sin(sin(sin(x))));
+        // com 7 casas decimais correctas
+        print(simpson(f, 0, 2, calculateN(0, 2, pow(10, -7))));
+        // com 12 casas decimais correctas
+        print(simpson(f, 0, 2, calculateN(0, 2, pow(10, -12))));
+    }
+
+#### Output
+
+Erro           | Resultado
+---------------|-------------------
+$$ 10^{-7} $$  | 1.0548418906594816
+$$ 10^{-12} $$ | 1.0548418772492483
+
+### 2)
+
+    // Valor exacto do integral calculado com o WolframAlpha, arredondado
+    // com 15 algarismos significativos, um a mais do que o erro majorado
+    // máximo para o caso de 2^20 pontos.
+    double I = 1.05484187724912;
+
+    /* Função para calcular o integral recorrendo ao método do Trapézio */
+    double trapezio (Function f, double a, double b) {
+        // Acumulador
+        double summation = 0;
+
+        // Intervalo de passo com n inicial = 2
+        double h = (b - a)/2;
+
+        // Valor constante
+        double fa_fb = f(a) + f(b);
+
+        // Para cada expoente de 1 a 20 (com passo 1)
+        for (int k = 1; k <= 20; ++k) {
+            // Guarda sumatorio dos pontos anteriores
+            double partial_sum = 0;
+            // Número de intervalos
+            // Com o left shift fazemos a potência de 2^k
+            int n = 1 << k;
+            // Evitamos recalcular pontos da função previamente computados
+            // guardando o sumatório destes em partial_sum e adicionamos a cada
+            // iteração os pontos novos, sendo estes de indice impar
+            for (int i = 1; i < n; i += 2) {
+                // Adicionamos o valor de f correspondente ao x de indice i
+                partial_sum += f(a + i * h);
+            }
+
+            summation += partial_sum;
+
+            // Aplicação da formula do Trapézio
+            double value = (h/2)*fa_fb + h * summation;
+
+            print(k + "\t| " + value + "\t| " + (I - value));
+
+            // Dividimos o intervalo por 2
+            h /= 2;
+        }
+    }
+
+    void main () {
+        Function f(x) = sin(sin(sin(sin(x))));
+        print(trapezio(f, 0, 2);
+    }
+
+#### Output
+
+k   | $$ I_{n_{k}} $$     | $$ \mid I - I_{n_{k}} \mid $$
+----|---------------------|--------------------------
+1   | 0.9533749638740736  | $$ 1.1 \cdot 10^{-1}  $$
+2   | 1.0308378382617962  | $$ 2.5 \cdot 10^{-2}  $$
+3   | 1.0489039934457873  | $$ 6.0 \cdot 10^{-3}  $$
+4   | 1.053360809734676   | $$ 1.5 \cdot 10^{-3}  $$
+5   | 1.0544718169560368  | $$ 3.8 \cdot 10^{-4}  $$
+6   | 1.054749374997165   | $$ 9.3 \cdot 10^{-5}  $$
+7   | 1.0548187524860693  | $$ 2.4 \cdot 10^{-5}  $$
+8   | 1.0548360961083287  | $$ 5.8 \cdot 10^{-6}  $$
+9   | 1.054840431967042   | $$ 1.5 \cdot 10^{-6}  $$
+10  | 1.0548415159287925  | $$ 3.6 \cdot 10^{-7}  $$
+11  | 1.0548417869190467  | $$ 9.1 \cdot 10^{-8}  $$
+12  | 1.0548418546666     | $$ 2.3 \cdot 10^{-8}  $$
+13  | 1.054841871603487   | $$ 5.7 \cdot 10^{-9}  $$
+14  | 1.0548418758377078  | $$ 1.5 \cdot 10^{-9}  $$
+15  | 1.0548418768962615  | $$ 3.5 \cdot 10^{-10} $$
+16  | 1.0548418771608998  | $$ 8.9 \cdot 10^{-11} $$
+17  | 1.0548418772270582  | $$ 2.3 \cdot 10^{-11} $$
+18  | 1.0548418772436017  | $$ 5.6 \cdot 10^{-12} $$
+19  | 1.0548418772477444  | $$ 1.4 \cdot 10^{-12} $$
+20  | 1.0548418772487873  | $$ 3.3 \cdot 10^{-13} $$
diff --git a/4 - Simpson and Trapezoidal rules/assignment.pdf b/4 - Simpson and Trapezoidal rules/assignment.pdf
new file mode 100755
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diff --git a/4 - Simpson and Trapezoidal rules/majorante_erro_1.png b/4 - Simpson and Trapezoidal rules/majorante_erro_1.png
new file mode 100755
index 0000000..2cd2585
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diff --git a/4 - Simpson and Trapezoidal rules/print.pdf b/4 - Simpson and Trapezoidal rules/print.pdf
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diff --git a/4 - Simpson and Trapezoidal rules/slides/css/all.css b/4 - Simpson and Trapezoidal rules/slides/css/all.css
new file mode 100644
index 0000000..de56473
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/all.css	
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/4 - Simpson and Trapezoidal rules/slides/css/css.css b/4 - Simpson and Trapezoidal rules/slides/css/css.css
new file mode 100644
index 0000000..239a7ca
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/css.css	
@@ -0,0 +1,40 @@
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Merriweather';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-cSZMZ-Y.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C88, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Merriweather';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-eCZMZ-Y.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Merriweather';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-cyZMZ-Y.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Merriweather';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-ciZMZ-Y.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Merriweather';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Merriweather Regular'), local('Merriweather-Regular'), url(https://fonts.gstatic.com/s/merriweather/v19/u-440qyriQwlOrhSvowK_l5-fCZM.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
diff --git a/4 - Simpson and Trapezoidal rules/slides/css/css2.css b/4 - Simpson and Trapezoidal rules/slides/css/css2.css
new file mode 100644
index 0000000..9ba1f7e
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/css2.css	
@@ -0,0 +1,32 @@
+/* cyrillic */
+@font-face {
+  font-family: 'Oswald';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752HT8Ghe4.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Oswald';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752Fj8Ghe4.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Oswald';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752Fz8Ghe4.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Oswald';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Oswald Regular'), local('Oswald-Regular'), url(https://fonts.gstatic.com/s/oswald/v16/TK3iWkUHHAIjg752GT8G.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
diff --git a/4 - Simpson and Trapezoidal rules/slides/css/css3.css b/4 - Simpson and Trapezoidal rules/slides/css/css3.css
new file mode 100644
index 0000000..f04022f
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/css3.css	
@@ -0,0 +1,48 @@
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc3CsTKlA.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C88, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc-CsTKlA.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc2CsTKlA.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc5CsTKlA.woff2) format('woff2');
+  unicode-range: U+0370-03FF;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc0CsTKlA.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Ubuntu Mono';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Ubuntu Mono'), local('UbuntuMono-Regular'), url(https://fonts.gstatic.com/s/ubuntumono/v8/KFOjCneDtsqEr0keqCMhbCc6CsQ.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
diff --git a/4 - Simpson and Trapezoidal rules/slides/css/css4.css b/4 - Simpson and Trapezoidal rules/slides/css/css4.css
new file mode 100644
index 0000000..64fb02e
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/css4.css	
@@ -0,0 +1,224 @@
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Quattrocento'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpEg_xvsDZQL_LKIF7q4jP3zWj6T4g.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Quattrocento'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpEg_xvsDZQL_LKIF7q4jP3w2j6.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Quattrocento Bold'), local('Quattrocento-Bold'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpbg_xvsDZQL_LKIF7q4jP_eE3vfqnYgXc.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Quattrocento Bold'), local('Quattrocento-Bold'), url(https://fonts.gstatic.com/s/quattrocento/v10/OZpbg_xvsDZQL_LKIF7q4jP_eE3vcKnY.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Quattrocento Sans Italic'), local('QuattrocentoSans-Italic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9a4lja2NVIDdIAAoMR5MfuElaRB0zMh0P2GEHJ.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Quattrocento Sans Italic'), local('QuattrocentoSans-Italic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9a4lja2NVIDdIAAoMR5MfuElaRB0zMh032GA.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Quattrocento Sans Bold Italic'), local('QuattrocentoSans-BoldItalic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9X4lja2NVIDdIAAoMR5MfuElaRB0zMj_bTDXDojYsJ.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Quattrocento Sans Bold Italic'), local('QuattrocentoSans-BoldItalic'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9X4lja2NVIDdIAAoMR5MfuElaRB0zMj_bTDX7ojQ.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Quattrocento Sans'), local('QuattrocentoSans'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9c4lja2NVIDdIAAoMR5MfuElaRB0zHt0_uHA.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Quattrocento Sans'), local('QuattrocentoSans'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9c4lja2NVIDdIAAoMR5MfuElaRB0zJt08.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Quattrocento Sans Bold'), local('QuattrocentoSans-Bold'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9Z4lja2NVIDdIAAoMR5MfuElaRB0RyklrfPXzwiQ.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Quattrocento Sans';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Quattrocento Sans Bold'), local('QuattrocentoSans-Bold'), url(https://fonts.gstatic.com/s/quattrocentosans/v11/va9Z4lja2NVIDdIAAoMR5MfuElaRB0RyklrRPXw.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8on7mTMuk.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onXmTMuk.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onTmTMuk.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 400;
+  src: local('Spectral Italic'), local('Spectral-Italic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCt-xNNww_2s0amA9M8onrmTA.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfCFXUIJ.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfuFXUIJ.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfqFXUIJ.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Spectral';
+  font-style: italic;
+  font-weight: 700;
+  src: local('Spectral Bold Italic'), local('Spectral-BoldItalic'), url(https://fonts.gstatic.com/s/spectral/v5/rnCu-xNNww_2s0amA9M8qsHDWfSFXQ.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M9knj-SA.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M2knj-SA.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M3knj-SA.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 400;
+  src: local('Spectral Regular'), local('Spectral-Regular'), url(https://fonts.gstatic.com/s/spectral/v5/rnCr-xNNww_2s0amA9M5kng.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23FafadWQ.woff2) format('woff2');
+  unicode-range: U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23OafadWQ.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23PafadWQ.woff2) format('woff2');
+  unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Spectral';
+  font-style: normal;
+  font-weight: 700;
+  src: local('Spectral Bold'), local('Spectral-Bold'), url(https://fonts.gstatic.com/s/spectral/v5/rnCs-xNNww_2s0amA9uCt23BafY.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
diff --git a/4 - Simpson and Trapezoidal rules/slides/css/fonts/KaTeX_Main-Regular.ttf b/4 - Simpson and Trapezoidal rules/slides/css/fonts/KaTeX_Main-Regular.ttf
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diff --git a/4 - Simpson and Trapezoidal rules/slides/css/fonts/KaTeX_Main-Regular.woff2 b/4 - Simpson and Trapezoidal rules/slides/css/fonts/KaTeX_Main-Regular.woff2
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diff --git a/4 - Simpson and Trapezoidal rules/slides/css/katex.min.css b/4 - Simpson and Trapezoidal rules/slides/css/katex.min.css
new file mode 100644
index 0000000..631f6c1
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/css/katex.min.css	
@@ -0,0 +1 @@
+@font-face{font-family:KaTeX_AMS;src:url(fonts/KaTeX_AMS-Regular.woff2) format("woff2"),url(fonts/KaTeX_AMS-Regular.woff) format("woff"),url(fonts/KaTeX_AMS-Regular.ttf) format("truetype");font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Bold.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Bold.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Bold.ttf) format("truetype");font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Regular.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Regular.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Regular.ttf) format("truetype");font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Fraktur;src:url(fonts/KaTeX_Fraktur-Bold.woff2) format("woff2"),url(fonts/KaTeX_Fraktur-Bold.woff) format("woff"),url(fonts/KaTeX_Fraktur-Bold.ttf) 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new file mode 100644
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+  src: local('PT Sans'), local('PTSans-Regular'), url(https://fonts.gstatic.com/s/ptsans/v9/jizaRExUiTo99u79D0-ExdGM.woff2) format('woff2');
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+    color:#d8000c
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+    border-radius:.5em;
+    display:block;
+    margin:10px 0;
+    padding:12px
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+    padding-right:1em
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+    margin:5px;
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+    padding-right:1em
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+    color:red
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+    margin-left:auto;
+    margin-right:auto
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+    display:table;
+    margin:0 auto
+}
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+    zoom:1
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+    background:var(--box-bg-color);
+    color:#fff;
+    display:inline-block;
+    font-family: "Hack Regular", Menlo, "DejaVu Sans Mono", "Liberation Mono", Consolas, "Ubuntu Mono", "Courier New", "andale mono", "lucida console", monospace;
+    font-size:.8em;
+    margin:.1em;
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+.color-papayawhip-60pct{
+    color:rgba(255,239,213,.6)
+}
+.color-peachpuff{
+    color:#ffdab9
+}
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+}
+.color-peachpuff-40pct{
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+}
+.color-peachpuff-60pct{
+    color:rgba(255,218,185,.6)
+}
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+}
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+}
+.color-peru-40pct{
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+}
+.color-peru-60pct{
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+}
+.color-pink{
+    color:pink
+}
+.color-pink-20pct{
+    color:rgba(255,192,203,.2)
+}
+.color-pink-40pct{
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+}
+.color-pink-60pct{
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+}
+.color-plum{
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+}
+.color-plum-20pct{
+    color:rgba(221,160,221,.2)
+}
+.color-plum-40pct{
+    color:rgba(221,160,221,.4)
+}
+.color-plum-60pct{
+    color:rgba(221,160,221,.6)
+}
+.color-powderblue{
+    color:#b0e0e6
+}
+.color-powderblue-20pct{
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+}
+.color-powderblue-40pct{
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+}
+.color-powderblue-60pct{
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+}
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+}
+.color-purple-20pct{
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+}
+.color-purple-40pct{
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+}
+.color-purple-60pct{
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+}
+.color-rebeccapurple{
+    color:#639
+}
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+}
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+}
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+}
+.color-red-20pct{
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+}
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+}
+.color-red-60pct{
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+}
+.color-rosybrown{
+    color:#bc8f8f
+}
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+}
+.color-rosybrown-40pct{
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+}
+.color-rosybrown-60pct{
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+}
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+    color:#4169e1
+}
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+}
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+}
+.color-royalblue-60pct{
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+}
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+    color:#8b4513
+}
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+}
+.color-saddlebrown-40pct{
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+}
+.color-saddlebrown-60pct{
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+}
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+    color:salmon
+}
+.color-salmon-20pct{
+    color:rgba(250,128,114,.2)
+}
+.color-salmon-40pct{
+    color:rgba(250,128,114,.4)
+}
+.color-salmon-60pct{
+    color:rgba(250,128,114,.6)
+}
+.color-sandybrown{
+    color:#f4a460
+}
+.color-sandybrown-20pct{
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+}
+.color-sandybrown-40pct{
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+}
+.color-sandybrown-60pct{
+    color:rgba(244,164,96,.6)
+}
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+    color:#2e8b57
+}
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+}
+.color-seagreen-40pct{
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+}
+.color-seagreen-60pct{
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+}
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+    color:#fff5ee
+}
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+}
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+}
+.color-seashell-60pct{
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+}
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+    color:sienna
+}
+.color-sienna-20pct{
+    color:rgba(160,82,45,.2)
+}
+.color-sienna-40pct{
+    color:rgba(160,82,45,.4)
+}
+.color-sienna-60pct{
+    color:rgba(160,82,45,.6)
+}
+.color-silver{
+    color:silver
+}
+.color-silver-20pct{
+    color:rgba(192,192,192,.2)
+}
+.color-silver-40pct{
+    color:rgba(192,192,192,.4)
+}
+.color-silver-60pct{
+    color:rgba(192,192,192,.6)
+}
+.color-skyblue{
+    color:#87ceeb
+}
+.color-skyblue-20pct{
+    color:rgba(135,206,235,.2)
+}
+.color-skyblue-40pct{
+    color:rgba(135,206,235,.4)
+}
+.color-skyblue-60pct{
+    color:rgba(135,206,235,.6)
+}
+.color-slateblue{
+    color:#6a5acd
+}
+.color-slateblue-20pct{
+    color:rgba(106,90,205,.2)
+}
+.color-slateblue-40pct{
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+}
+.color-slateblue-60pct{
+    color:rgba(106,90,205,.6)
+}
+.color-slategray,.color-slategrey{
+    color:#708090
+}
+.color-slategray-20pct,.color-slategrey-20pct{
+    color:rgba(112,128,144,.2)
+}
+.color-slategray-40pct,.color-slategrey-40pct{
+    color:rgba(112,128,144,.4)
+}
+.color-slategray-60pct,.color-slategrey-60pct{
+    color:rgba(112,128,144,.6)
+}
+.color-snow{
+    color:snow
+}
+.color-snow-20pct{
+    color:rgba(255,250,250,.2)
+}
+.color-snow-40pct{
+    color:rgba(255,250,250,.4)
+}
+.color-snow-60pct{
+    color:rgba(255,250,250,.6)
+}
+.color-springgreen{
+    color:#00ff7f
+}
+.color-springgreen-20pct{
+    color:rgba(0,255,127,.2)
+}
+.color-springgreen-40pct{
+    color:rgba(0,255,127,.4)
+}
+.color-springgreen-60pct{
+    color:rgba(0,255,127,.6)
+}
+.color-steelblue{
+    color:#4682b4
+}
+.color-steelblue-20pct{
+    color:rgba(70,130,180,.2)
+}
+.color-steelblue-40pct{
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+}
+.color-steelblue-60pct{
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+}
+.color-tan{
+    color:tan
+}
+.color-tan-20pct{
+    color:rgba(210,180,140,.2)
+}
+.color-tan-40pct{
+    color:rgba(210,180,140,.4)
+}
+.color-tan-60pct{
+    color:rgba(210,180,140,.6)
+}
+.color-teal{
+    color:teal
+}
+.color-teal-20pct{
+    color:rgba(0,128,128,.2)
+}
+.color-teal-40pct{
+    color:rgba(0,128,128,.4)
+}
+.color-teal-60pct{
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+}
+.color-thistle{
+    color:#d8bfd8
+}
+.color-thistle-20pct{
+    color:rgba(216,191,216,.2)
+}
+.color-thistle-40pct{
+    color:rgba(216,191,216,.4)
+}
+.color-thistle-60pct{
+    color:rgba(216,191,216,.6)
+}
+.color-tomato{
+    color:tomato
+}
+.color-tomato-20pct{
+    color:rgba(255,99,71,.2)
+}
+.color-tomato-40pct{
+    color:rgba(255,99,71,.4)
+}
+.color-tomato-60pct{
+    color:rgba(255,99,71,.6)
+}
+.color-turquoise{
+    color:#40e0d0
+}
+.color-turquoise-20pct{
+    color:rgba(64,224,208,.2)
+}
+.color-turquoise-40pct{
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+}
+.color-turquoise-60pct{
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+}
+.color-violet{
+    color:violet
+}
+.color-violet-20pct{
+    color:rgba(238,130,238,.2)
+}
+.color-violet-40pct{
+    color:rgba(238,130,238,.4)
+}
+.color-violet-60pct{
+    color:rgba(238,130,238,.6)
+}
+.color-wheat{
+    color:wheat
+}
+.color-wheat-20pct{
+    color:rgba(245,222,179,.2)
+}
+.color-wheat-40pct{
+    color:rgba(245,222,179,.4)
+}
+.color-wheat-60pct{
+    color:rgba(245,222,179,.6)
+}
+.color-white{
+    color:#fff
+}
+.color-white-20pct{
+    color:rgba(255,255,255,.2)
+}
+.color-white-40pct{
+    color:rgba(255,255,255,.4)
+}
+.color-white-60pct{
+    color:rgba(255,255,255,.6)
+}
+.color-whitesmoke{
+    color:#f5f5f5
+}
+.color-whitesmoke-20pct{
+    color:rgba(245,245,245,.2)
+}
+.color-whitesmoke-40pct{
+    color:rgba(245,245,245,.4)
+}
+.color-whitesmoke-60pct{
+    color:rgba(245,245,245,.6)
+}
+.color-yellow{
+    color:#ff0
+}
+.color-yellow-20pct{
+    color:rgba(255,255,0,.2)
+}
+.color-yellow-40pct{
+    color:rgba(255,255,0,.4)
+}
+.color-yellow-60pct{
+    color:rgba(255,255,0,.6)
+}
+.color-yellowgreen{
+    color:#9acd32
+}
+.color-yellowgreen-20pct{
+    color:rgba(154,205,50,.2)
+}
+.color-yellowgreen-40pct{
+    color:rgba(154,205,50,.4)
+}
+.color-yellowgreen-60pct{
+    color:rgba(154,205,50,.6)
+}
+.db,img[src~=db]{
+    display:block
+}
+.dib,img[src~=dib]{
+    display:inline-block
+}
+.fixed,img[src~=fixed]{
+    position:fixed
+}
+.fl,img[src~=fl]{
+    float:left
+}
+.fn,img[src~=fn]{
+    float:none
+}
+.footnote{
+    bottom:3em;
+    font-size:50%;
+    position:absolute
+}
+.fr,img[src~=fr]{
+    float:right
+}
+.green{
+    color:#1d9a78!important
+}
+.h-0,img[src~=h-0]{
+    height:0
+}
+.h-1,img[src~=h-1]{
+    height:1rem
+}
+.h-1-12th,img[src~=h-1-12th]{
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+}
+.h-10-12th,img[src~=h-10-12th]{
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+}
+.h-100pct,img[src~=h-100pct]{
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+}
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+}
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+    height:91.66666667%
+}
+.h-2,img[src~=h-2]{
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+}
+.h-2-12th,img[src~=h-2-12th]{
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+}
+.h-20pct,img[src~=h-20pct]{
+    height:20%
+}
+.h-3,img[src~=h-3]{
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+}
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+}
+.h-30pct,img[src~=h-30pct]{
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+}
+.h-33pct,img[src~=h-33pct]{
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+}
+.h-34pct,img[src~=h-34pct]{
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+}
+.h-4,img[src~=h-4]{
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+}
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+    height:33.33333333%
+}
+.h-40pct,img[src~=h-40pct]{
+    height:40%
+}
+.h-5,img[src~=h-5]{
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+}
+.h-5-12th,img[src~=h-5-12th]{
+    height:41.66666667%
+}
+.h-50pct,.h-6-12th,img[src~=h-50pct],img[src~=h-6-12th]{
+    height:50%
+}
+.h-6,img[src~=h-6]{
+    height:32rem
+}
+.h-60pct,img[src~=h-60pct]{
+    height:60%
+}
+.h-7,img[src~=h-7]{
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+}
+.h-7-12th,img[src~=h-7-12th]{
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+}
+.h-70pct,img[src~=h-70pct]{
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+}
+.h-75pct,.h-9-12th,img[src~=h-75pct],img[src~=h-9-12th]{
+    height:75%
+}
+.h-8,img[src~=h-8]{
+    height:64rem
+}
+.h-8-12th,.h-two-thirds,img[src~=h-8-12th],img[src~=h-two-thirds]{
+    height:66.66666667%
+}
+.h-80pct,img[src~=h-80pct]{
+    height:80%
+}
+.h-9,img[src~=h-9]{
+    height:96rem
+}
+.h-90pct,img[src~=h-90pct]{
+    height:90%
+}
+.html_example{
+    border:1px solid;
+    padding:1em;
+    text-align:center
+}
+.indexlink{
+    bottom:12px;
+    font-size:.8em;
+    left:20px;
+    opacity:.5;
+    position:absolute
+}
+.indexlink a{
+    color:#999;
+    padding-right:1em
+}
+.indexlist li{
+    background:#333;
+    display:block;
+    float:left;
+    padding:1em
+}
+.inverse{
+    color:#ccc;
+    text-shadow:0 0 20px #333
+}
+.inverse h1,.inverse h2{
+    color:#f3f3f3;
+    line-height:1.5em
+}
+.inverse h2{
+    font-size:1.4em
+}
+.key{
+    text-decoration:underline
+}
+.l-0,img[src~=l-0]{
+    left:0
+}
+.l-1,img[src~=l-1]{
+    left:1rem
+}
+.l-1-12th,img[src~=l-1-12th]{
+    left:8.33333333%
+}
+.l-10-12th,img[src~=l-10-12th]{
+    left:83.33333333%
+}
+.l-100pct,img[src~=l-100pct]{
+    left:100%
+}
+.l-10pct,img[src~=l-10pct]{
+    left:10%
+}
+.l-11-12th,img[src~=l-11-12th]{
+    left:91.66666667%
+}
+.l-2,img[src~=l-2]{
+    left:2rem
+}
+.l-2-12th,img[src~=l-2-12th]{
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+}
+.l-20pct,img[src~=l-20pct]{
+    left:20%
+}
+.l-3,img[src~=l-3]{
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+}
+.l-3-12th,img[src~=l-3-12th]{
+    left:25%
+}
+.l-30pct,img[src~=l-30pct]{
+    left:30%
+}
+.l-33pct,img[src~=l-33pct]{
+    left:33%
+}
+.l-34pct,img[src~=l-34pct]{
+    left:34%
+}
+.l-4,img[src~=l-4]{
+    left:8rem
+}
+.l-4-12th,.l-third,img[src~=l-4-12th],img[src~=l-third]{
+    left:33.33333333%
+}
+.l-40pct,img[src~=l-40pct]{
+    left:40%
+}
+.l-5,img[src~=l-5]{
+    left:16rem
+}
+.l-5-12th,img[src~=l-5-12th]{
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+}
+.l-50pct,.l-6-12th,img[src~=l-50pct],img[src~=l-6-12th]{
+    left:50%
+}
+.l-6,img[src~=l-6]{
+    left:32rem
+}
+.l-60pct,img[src~=l-60pct]{
+    left:60%
+}
+.l-7,img[src~=l-7]{
+    left:48rem
+}
+.l-7-12th,img[src~=l-7-12th]{
+    left:58.33333333%
+}
+.l-70pct,img[src~=l-70pct]{
+    left:70%
+}
+.l-75pct,.l-9-12th,img[src~=l-75pct],img[src~=l-9-12th]{
+    left:75%
+}
+.l-8,img[src~=l-8]{
+    left:64rem
+}
+.l-8-12th,.l-two-thirds,img[src~=l-8-12th],img[src~=l-two-thirds]{
+    left:66.66666667%
+}
+.l-80pct,img[src~=l-80pct]{
+    left:80%
+}
+.l-9,img[src~=l-9]{
+    left:96rem
+}
+.l-90pct,img[src~=l-90pct]{
+    left:90%
+}
+.large{
+    font-size:2em
+}
+.large img{
+    border:0;
+    margin-left:-5%;
+    max-width:105%
+}
+.left-column{
+    color:#777;
+    float:left;
+    height:92%;
+    width:20%
+}
+.color-black,.left-column h2:last-of-type,.left-column h3:last-child{
+    color:#000
+}
+.ma-0,img[src~=ma-0]{
+    margin:0
+}
+.ma-1,img[src~=ma-1]{
+    margin:.25rem
+}
+.ma-2,img[src~=ma-2]{
+    margin:.5rem
+}
+.ma-3,img[src~=ma-3]{
+    margin:1rem
+}
+.ma-4,img[src~=ma-4]{
+    margin:2rem
+}
+.ma-5,img[src~=ma-5]{
+    margin:4rem
+}
+.ma-6,img[src~=ma-6]{
+    margin:8rem
+}
+.ma-7,img[src~=ma-7]{
+    margin:16rem
+}
+.ma-8,img[src~=ma-8]{
+    margin:32rem
+}
+.ma-9,img[src~=ma-9]{
+    margin:64rem
+}
+.maxh-0,img[src~=maxh-0]{
+    max-height:0
+}
+.maxh-1,img[src~=maxh-1]{
+    max-height:1rem
+}
+.maxh-1-12th,img[src~=maxh-1-12th]{
+    max-height:8.33333333%
+}
+.maxh-10-12th,img[src~=maxh-10-12th]{
+    max-height:83.33333333%
+}
+.maxh-100pct,img[src~=maxh-100pct]{
+    max-height:100%
+}
+.maxh-10pct,img[src~=maxh-10pct]{
+    max-height:10%
+}
+.maxh-11-12th,img[src~=maxh-11-12th]{
+    max-height:91.66666667%
+}
+.maxh-2,img[src~=maxh-2]{
+    max-height:2rem
+}
+.maxh-2-12th,img[src~=maxh-2-12th]{
+    max-height:16.66666667%
+}
+.maxh-20pct,img[src~=maxh-20pct]{
+    max-height:20%
+}
+.maxh-3,img[src~=maxh-3]{
+    max-height:4rem
+}
+.maxh-3-12th,img[src~=maxh-3-12th]{
+    max-height:25%
+}
+.maxh-30pct,img[src~=maxh-30pct]{
+    max-height:30%
+}
+.maxh-33pct,img[src~=maxh-33pct]{
+    max-height:33%
+}
+.maxh-34pct,img[src~=maxh-34pct]{
+    max-height:34%
+}
+.maxh-4,img[src~=maxh-4]{
+    max-height:8rem
+}
+.maxh-4-12th,.maxh-third,img[src~=maxh-4-12th],img[src~=maxh-third]{
+    max-height:33.33333333%
+}
+.maxh-40pct,img[src~=maxh-40pct]{
+    max-height:40%
+}
+.maxh-5,img[src~=maxh-5]{
+    max-height:16rem
+}
+.maxh-5-12th,img[src~=maxh-5-12th]{
+    max-height:41.66666667%
+}
+.maxh-50pct,.maxh-6-12th,img[src~=maxh-50pct],img[src~=maxh-6-12th]{
+    max-height:50%
+}
+.maxh-6,img[src~=maxh-6]{
+    max-height:32rem
+}
+.maxh-60pct,img[src~=maxh-60pct]{
+    max-height:60%
+}
+.maxh-7,img[src~=maxh-7]{
+    max-height:48rem
+}
+.maxh-7-12th,img[src~=maxh-7-12th]{
+    max-height:58.33333333%
+}
+.maxh-70pct,img[src~=maxh-70pct]{
+    max-height:70%
+}
+.maxh-75pct,.maxh-9-12th,img[src~=maxh-75pct],img[src~=maxh-9-12th]{
+    max-height:75%
+}
+.maxh-8,img[src~=maxh-8]{
+    max-height:64rem
+}
+.maxh-8-12th,.maxh-two-thirds,img[src~=maxh-8-12th],img[src~=maxh-two-thirds]{
+    max-height:66.66666667%
+}
+.maxh-80pct,img[src~=maxh-80pct]{
+    max-height:80%
+}
+.maxh-9,img[src~=maxh-9]{
+    max-height:96rem
+}
+.maxh-90pct,img[src~=maxh-90pct]{
+    max-height:90%
+}
+.maxw-0,img[src~=maxw-0]{
+    max-width:0
+}
+.maxw-1,img[src~=maxw-1]{
+    max-width:1rem
+}
+.maxw-1-12th,img[src~=maxw-1-12th]{
+    max-width:8.33333333%
+}
+.maxw-10-12th,img[src~=maxw-10-12th]{
+    max-width:83.33333333%
+}
+.maxw-10pct,img[src~=maxw-10pct]{
+    max-width:10%
+}
+.maxw-11-12th,img[src~=maxw-11-12th]{
+    max-width:91.66666667%
+}
+.maxw-2,img[src~=maxw-2]{
+    max-width:2rem
+}
+.maxw-2-12th,img[src~=maxw-2-12th]{
+    max-width:16.66666667%
+}
+.maxw-20pct,img[src~=maxw-20pct]{
+    max-width:20%
+}
+.maxw-3,img[src~=maxw-3]{
+    max-width:4rem
+}
+.maxw-3-12th,img[src~=maxw-3-12th]{
+    max-width:25%
+}
+.maxw-30pct,img[src~=maxw-30pct]{
+    max-width:30%
+}
+.maxw-33pct,img[src~=maxw-33pct]{
+    max-width:33%
+}
+.maxw-34pct,img[src~=maxw-34pct]{
+    max-width:34%
+}
+.maxw-4,img[src~=maxw-4]{
+    max-width:8rem
+}
+.maxw-4-12th,.maxw-third,img[src~=maxw-4-12th],img[src~=maxw-third]{
+    max-width:33.33333333%
+}
+.maxw-40pct,img[src~=maxw-40pct]{
+    max-width:40%
+}
+.maxw-5,img[src~=maxw-5]{
+    max-width:16rem
+}
+.maxw-5-12th,img[src~=maxw-5-12th]{
+    max-width:41.66666667%
+}
+.maxw-50pct,.maxw-6-12th,img[src~=maxw-50pct],img[src~=maxw-6-12th]{
+    max-width:50%
+}
+.maxw-6,img[src~=maxw-6]{
+    max-width:32rem
+}
+.maxw-60pct,img[src~=maxw-60pct]{
+    max-width:60%
+}
+.maxw-7,img[src~=maxw-7]{
+    max-width:48rem
+}
+.maxw-7-12th,img[src~=maxw-7-12th]{
+    max-width:58.33333333%
+}
+.maxw-70pct,img[src~=maxw-70pct]{
+    max-width:70%
+}
+.maxw-8,img[src~=maxw-8]{
+    max-width:64rem
+}
+.maxw-8-12th,.maxw-two-thirds,img[src~=maxw-8-12th],img[src~=maxw-two-thirds]{
+    max-width:66.66666667%
+}
+.maxw-80pct,img[src~=maxw-80pct]{
+    max-width:80%
+}
+.maxw-9,img[src~=maxw-9]{
+    max-width:96rem
+}
+.maxw-90pct,img[src~=maxw-90pct]{
+    max-width:90%
+}
+.mb-0,img[src~=mb-0]{
+    margin-bottom:0
+}
+.mb-1,img[src~=mb-1]{
+    margin-bottom:.25rem
+}
+.mb-2,img[src~=mb-2]{
+    margin-bottom:.5rem
+}
+.mb-3,img[src~=mb-3]{
+    margin-bottom:1rem
+}
+.mb-4,img[src~=mb-4]{
+    margin-bottom:2rem
+}
+.mb-5,img[src~=mb-5]{
+    margin-bottom:4rem
+}
+.mb-6,img[src~=mb-6]{
+    margin-bottom:8rem
+}
+.mb-7,img[src~=mb-7]{
+    margin-bottom:16rem
+}
+.mb-8,img[src~=mb-8]{
+    margin-bottom:32rem
+}
+.mb-9,img[src~=mb-9]{
+    margin-bottom:64rem
+}
+.mh-0,img[src~=mh-0]{
+    margin-left:0;
+    margin-right:0
+}
+.mh-1,img[src~=mh-1]{
+    margin-left:.25rem;
+    margin-right:.25rem
+}
+.mh-2,img[src~=mh-2]{
+    margin-left:.5rem;
+    margin-right:.5rem
+}
+.mh-3,img[src~=mh-3]{
+    margin-left:1rem;
+    margin-right:1rem
+}
+.mh-4,img[src~=mh-4]{
+    margin-left:2rem;
+    margin-right:2rem
+}
+.mh-5,img[src~=mh-5]{
+    margin-left:4rem;
+    margin-right:4rem
+}
+.mh-6,img[src~=mh-6]{
+    margin-left:8rem;
+    margin-right:8rem
+}
+.mh-7,img[src~=mh-7]{
+    margin-left:16rem;
+    margin-right:16rem
+}
+.mh-8,img[src~=mh-8]{
+    margin-left:32rem;
+    margin-right:32rem
+}
+.mh-9,img[src~=mh-9]{
+    margin-left:64rem;
+    margin-right:64rem
+}
+.minh-0,img[src~=minh-0]{
+    min-height:0
+}
+.minh-1,img[src~=minh-1]{
+    min-height:1rem
+}
+.minh-1-12th,img[src~=minh-1-12th]{
+    min-height:8.33333333%
+}
+.minh-10-12th,img[src~=minh-10-12th]{
+    min-height:83.33333333%
+}
+.minh-100pct,img[src~=minh-100pct]{
+    min-height:100%
+}
+.minh-10pct,img[src~=minh-10pct]{
+    min-height:10%
+}
+.minh-11-12th,img[src~=minh-11-12th]{
+    min-height:91.66666667%
+}
+.minh-2,img[src~=minh-2]{
+    min-height:2rem
+}
+.minh-2-12th,img[src~=minh-2-12th]{
+    min-height:16.66666667%
+}
+.minh-20pct,img[src~=minh-20pct]{
+    min-height:20%
+}
+.minh-3,img[src~=minh-3]{
+    min-height:4rem
+}
+.minh-3-12th,img[src~=minh-3-12th]{
+    min-height:25%
+}
+.minh-30pct,img[src~=minh-30pct]{
+    min-height:30%
+}
+.minh-33pct,img[src~=minh-33pct]{
+    min-height:33%
+}
+.minh-34pct,img[src~=minh-34pct]{
+    min-height:34%
+}
+.minh-4,img[src~=minh-4]{
+    min-height:8rem
+}
+.minh-4-12th,.minh-third,img[src~=minh-4-12th],img[src~=minh-third]{
+    min-height:33.33333333%
+}
+.minh-40pct,img[src~=minh-40pct]{
+    min-height:40%
+}
+.minh-5,img[src~=minh-5]{
+    min-height:16rem
+}
+.minh-5-12th,img[src~=minh-5-12th]{
+    min-height:41.66666667%
+}
+.minh-50pct,.minh-6-12th,img[src~=minh-50pct],img[src~=minh-6-12th]{
+    min-height:50%
+}
+.minh-6,img[src~=minh-6]{
+    min-height:32rem
+}
+.minh-60pct,img[src~=minh-60pct]{
+    min-height:60%
+}
+.minh-7,img[src~=minh-7]{
+    min-height:48rem
+}
+.minh-7-12th,img[src~=minh-7-12th]{
+    min-height:58.33333333%
+}
+.minh-70pct,img[src~=minh-70pct]{
+    min-height:70%
+}
+.minh-75pct,.minh-9-12th,img[src~=minh-75pct],img[src~=minh-9-12th]{
+    min-height:75%
+}
+.minh-8,img[src~=minh-8]{
+    min-height:64rem
+}
+.minh-8-12th,.minh-two-thirds,img[src~=minh-8-12th],img[src~=minh-two-thirds]{
+    min-height:66.66666667%
+}
+.minh-80pct,img[src~=minh-80pct]{
+    min-height:80%
+}
+.minh-9,img[src~=minh-9]{
+    min-height:96rem
+}
+.minh-90pct,img[src~=minh-90pct]{
+    min-height:90%
+}
+.minw-0,img[src~=minw-0]{
+    min-width:0
+}
+.minw-1,img[src~=minw-1]{
+    min-width:1rem
+}
+.minw-1-12th,img[src~=minw-1-12th]{
+    min-width:8.33333333%
+}
+.minw-10-12th,img[src~=minw-10-12th]{
+    min-width:83.33333333%
+}
+.minw-100pct,img[src~=minw-100pct]{
+    min-width:100%
+}
+.minw-10pct,img[src~=minw-10pct]{
+    min-width:10%
+}
+.minw-11-12th,img[src~=minw-11-12th]{
+    min-width:91.66666667%
+}
+.minw-2,img[src~=minw-2]{
+    min-width:2rem
+}
+.minw-2-12th,img[src~=minw-2-12th]{
+    min-width:16.66666667%
+}
+.minw-20pct,img[src~=minw-20pct]{
+    min-width:20%
+}
+.minw-3,img[src~=minw-3]{
+    min-width:4rem
+}
+.minw-3-12th,img[src~=minw-3-12th]{
+    min-width:25%
+}
+.minw-30pct,img[src~=minw-30pct]{
+    min-width:30%
+}
+.minw-33pct,img[src~=minw-33pct]{
+    min-width:33%
+}
+.minw-34pct,img[src~=minw-34pct]{
+    min-width:34%
+}
+.minw-4,img[src~=minw-4]{
+    min-width:8rem
+}
+.minw-4-12th,.minw-third,img[src~=minw-4-12th],img[src~=minw-third]{
+    min-width:33.33333333%
+}
+.minw-40pct,img[src~=minw-40pct]{
+    min-width:40%
+}
+.minw-5,img[src~=minw-5]{
+    min-width:16rem
+}
+.minw-5-12th,img[src~=minw-5-12th]{
+    min-width:41.66666667%
+}
+.minw-50pct,.minw-6-12th,img[src~=minw-50pct],img[src~=minw-6-12th]{
+    min-width:50%
+}
+.minw-6,img[src~=minw-6]{
+    min-width:32rem
+}
+.minw-60pct,img[src~=minw-60pct]{
+    min-width:60%
+}
+.minw-7,img[src~=minw-7]{
+    min-width:48rem
+}
+.minw-7-12th,img[src~=minw-7-12th]{
+    min-width:58.33333333%
+}
+.minw-70pct,img[src~=minw-70pct]{
+    min-width:70%
+}
+.minw-75pct,.minw-9-12th,img[src~=minw-75pct],img[src~=minw-9-12th]{
+    min-width:75%
+}
+.minw-8,img[src~=minw-8]{
+    min-width:64rem
+}
+.minw-8-12th,.minw-two-thirds,img[src~=minw-8-12th],img[src~=minw-two-thirds]{
+    min-width:66.66666667%
+}
+.minw-80pct,img[src~=minw-80pct]{
+    min-width:80%
+}
+.minw-9,img[src~=minw-9]{
+    min-width:96rem
+}
+.minw-90pct,img[src~=minw-90pct]{
+    min-width:90%
+}
+.ml-0,img[src~=ml-0]{
+    margin-left:0
+}
+.ml-1,img[src~=ml-1]{
+    margin-left:.25rem
+}
+.ml-2,img[src~=ml-2]{
+    margin-left:.5rem
+}
+.ml-3,img[src~=ml-3]{
+    margin-left:1rem
+}
+.ml-4,img[src~=ml-4]{
+    margin-left:2rem
+}
+.ml-5,img[src~=ml-5]{
+    margin-left:4rem
+}
+.ml-6,img[src~=ml-6]{
+    margin-left:8rem
+}
+.ml-7,img[src~=ml-7]{
+    margin-left:16rem
+}
+.ml-8,img[src~=ml-8]{
+    margin-left:32rem
+}
+.ml-9,img[src~=ml-9]{
+    margin-left:64rem
+}
+.mr-0,img[src~=mr-0]{
+    margin-right:0
+}
+.mr-1,img[src~=mr-1]{
+    margin-right:.25rem
+}
+.mr-2,img[src~=mr-2]{
+    margin-right:.5rem
+}
+.mr-3,img[src~=mr-3]{
+    margin-right:1rem
+}
+.mr-4,img[src~=mr-4]{
+    margin-right:2rem
+}
+.mr-5,img[src~=mr-5]{
+    margin-right:4rem
+}
+.mr-6,img[src~=mr-6]{
+    margin-right:8rem
+}
+.mr-7,img[src~=mr-7]{
+    margin-right:16rem
+}
+.mr-8,img[src~=mr-8]{
+    margin-right:32rem
+}
+.mr-9,img[src~=mr-9]{
+    margin-right:64rem
+}
+.mt-1,img[src~=mt-1]{
+    margin-top:.25rem
+}
+.mt-2,img[src~=mt-2]{
+    margin-top:.5rem
+}
+.mt-3,img[src~=mt-3]{
+    margin-top:1rem
+}
+.mt-4,img[src~=mt-4]{
+    margin-top:2rem
+}
+.mt-5,img[src~=mt-5]{
+    margin-top:4rem
+}
+.mt-6,img[src~=mt-6]{
+    margin-top:8rem
+}
+.mt-7,img[src~=mt-7]{
+    margin-top:16rem
+}
+.mt-8,img[src~=mt-8]{
+    margin-top:32rem
+}
+.mt-9,img[src~=mt-9]{
+    margin-top:64rem
+}
+.mv-0,img[src~=mv-0]{
+    margin-bottom:0;
+    margin-top:0
+}
+.mv-1,img[src~=mv-1]{
+    margin-bottom:.25rem;
+    margin-top:.25rem
+}
+.mv-2,img[src~=mv-2]{
+    margin-bottom:.5rem;
+    margin-top:.5rem
+}
+.mv-3,img[src~=mv-3]{
+    margin-bottom:1rem;
+    margin-top:1rem
+}
+.mv-4,img[src~=mv-4]{
+    margin-bottom:2rem;
+    margin-top:2rem
+}
+.mv-5,img[src~=mv-5]{
+    margin-bottom:4rem;
+    margin-top:4rem
+}
+.mv-6,img[src~=mv-6]{
+    margin-bottom:8rem;
+    margin-top:8rem
+}
+.mv-7,img[src~=mv-7]{
+    margin-bottom:16rem;
+    margin-top:16rem
+}
+.mv-8,img[src~=mv-8]{
+    margin-bottom:32rem;
+    margin-top:32rem
+}
+.mv-9,img[src~=mv-9]{
+    margin-bottom:64rem;
+    margin-top:64rem
+}
+.ofc,img[src~=ofc]{
+    object-fit:contain
+}
+.ofv,img[src~=ofv]{
+    object-fit:cover
+}
+.opb,img[src~=opb]{
+    object-position:bottom!important
+}
+.opc,img[src~=opc]{
+    object-position:center!important
+}
+.opcb,img[src~=opcb]{
+    object-position:center bottom!important
+}
+.opcc,img[src~=opcc]{
+    object-position:center center!important
+}
+.opct,img[src~=opct]{
+    object-position:center top!important
+}
+.opl,img[src~=opl]{
+    object-position:left!important
+}
+.oplb,img[src~=oplb]{
+    object-position:left bottom!important
+}
+.oplc,img[src~=oplc]{
+    object-position:left center!important
+}
+.oplt,img[src~=oplt]{
+    object-position:left top!important
+}
+.opr,img[src~=opr]{
+    object-position:right!important
+}
+.oprb,img[src~=oprb]{
+    object-position:right bottom!important
+}
+.oprc,img[src~=oprc]{
+    object-position:right center!important
+}
+.oprt,img[src~=oprt]{
+    object-position:right top!important
+}
+.opt,img[src~=opt]{
+    object-position:top!important
+}
+.orange{
+    color:#f1882b!important
+}
+.pa-0,img[src~=pa-0]{
+    padding:0
+}
+.pa-1,img[src~=pa-1]{
+    padding:.25rem
+}
+.pa-2,img[src~=pa-2]{
+    padding:.5rem
+}
+.pa-3,img[src~=pa-3]{
+    padding:1rem
+}
+.pa-4,img[src~=pa-4]{
+    padding:2rem
+}
+.pa-5,img[src~=pa-5]{
+    padding:4rem
+}
+.pa-6,img[src~=pa-6]{
+    padding:8rem
+}
+.pa-7,img[src~=pa-7]{
+    padding:16rem
+}
+.pa-8,img[src~=pa-8]{
+    padding:32rem
+}
+.pa-9,img[src~=pa-9]{
+    padding:64rem
+}
+.pb-0,img[src~=pb-0]{
+    padding-bottom:0
+}
+.pb-1,img[src~=pb-1]{
+    padding-bottom:.25rem
+}
+.pb-2,img[src~=pb-2]{
+    padding-bottom:.5rem
+}
+.pb-3,img[src~=pb-3]{
+    padding-bottom:1rem
+}
+.pb-4,img[src~=pb-4]{
+    padding-bottom:2rem
+}
+.pb-5,img[src~=pb-5]{
+    padding-bottom:4rem
+}
+.pb-6,img[src~=pb-6]{
+    padding-bottom:8rem
+}
+.pb-7,img[src~=pb-7]{
+    padding-bottom:16rem
+}
+.pb-8,img[src~=pb-8]{
+    padding-bottom:32rem
+}
+.pb-9,img[src~=pb-9]{
+    padding-bottom:64rem
+}
+.ph-0,img[src~=ph-0]{
+    padding-left:0;
+    padding-right:0
+}
+.ph-1,img[src~=ph-1]{
+    padding-left:.25rem;
+    padding-right:.25rem
+}
+.ph-2,img[src~=ph-2]{
+    padding-left:.5rem;
+    padding-right:.5rem
+}
+.ph-3,img[src~=ph-3]{
+    padding-left:1rem;
+    padding-right:1rem
+}
+.ph-4,img[src~=ph-4]{
+    padding-left:2rem;
+    padding-right:2rem
+}
+.ph-5,img[src~=ph-5]{
+    padding-left:4rem;
+    padding-right:4rem
+}
+.ph-6,img[src~=ph-6]{
+    padding-left:8rem;
+    padding-right:8rem
+}
+.ph-7,img[src~=ph-7]{
+    padding-left:16rem;
+    padding-right:16rem
+}
+.ph-8,img[src~=ph-8]{
+    padding-left:32rem;
+    padding-right:32rem
+}
+.ph-9,img[src~=ph-9]{
+    padding-left:64rem;
+    padding-right:64rem
+}
+.pl-0,img[src~=pl-0]{
+    padding-left:0
+}
+.pl-1,img[src~=pl-1]{
+    padding-left:.25rem
+}
+.pl-2,img[src~=pl-2]{
+    padding-left:.5rem
+}
+.pl-3,img[src~=pl-3]{
+    padding-left:1rem
+}
+.pl-4,img[src~=pl-4]{
+    padding-left:2rem
+}
+.pl-5,img[src~=pl-5]{
+    padding-left:4rem
+}
+.pl-6,img[src~=pl-6]{
+    padding-left:8rem
+}
+.pl-7,img[src~=pl-7]{
+    padding-left:16rem
+}
+.pl-8,img[src~=pl-8]{
+    padding-left:32rem
+}
+.pl-9,img[src~=pl-9]{
+    padding-left:64rem
+}
+.pr-0,img[src~=pr-0]{
+    padding-right:0
+}
+.pr-1,img[src~=pr-1]{
+    padding-right:.25rem
+}
+.pr-2,img[src~=pr-2]{
+    padding-right:.5rem
+}
+.pr-3,img[src~=pr-3]{
+    padding-right:1rem
+}
+.pr-4,img[src~=pr-4]{
+    padding-right:2rem
+}
+.pr-5,img[src~=pr-5]{
+    padding-right:4rem
+}
+.pr-6,img[src~=pr-6]{
+    padding-right:8rem
+}
+.pr-7,img[src~=pr-7]{
+    padding-right:16rem
+}
+.pr-8,img[src~=pr-8]{
+    padding-right:32rem
+}
+.pr-9,img[src~=pr-9]{
+    padding-right:64rem
+}
+.pt-0,img[src~=pt-0]{
+    padding-top:0
+}
+.pt-1,img[src~=pt-1]{
+    padding-top:.25rem
+}
+.pt-2,img[src~=pt-2]{
+    padding-top:.5rem
+}
+.pt-3,img[src~=pt-3]{
+    padding-top:1rem
+}
+.pt-4,img[src~=pt-4]{
+    padding-top:2rem
+}
+.pt-5,img[src~=pt-5]{
+    padding-top:4rem
+}
+.pt-6,img[src~=pt-6]{
+    padding-top:8rem
+}
+.pt-7,img[src~=pt-7]{
+    padding-top:16rem
+}
+.pt-8,img[src~=pt-8]{
+    padding-top:32rem
+}
+.pt-9,img[src~=pt-9]{
+    padding-top:64rem
+}
+.pull-left{
+    float:left;
+    width:47%
+}
+.pull-right{
+    float:right;
+    width:47%
+}
+.pull-right~p,img[src~=cf]:after{
+    clear:both
+}
+.purple{
+    color:#7030a0!important
+}
+.pv-0,img[src~=pv-0]{
+    padding-bottom:0;
+    padding-top:0
+}
+.pv-1,img[src~=pv-1]{
+    padding-bottom:.25rem;
+    padding-top:.25rem
+}
+.pv-2,img[src~=pv-2]{
+    padding-bottom:.5rem;
+    padding-top:.5rem
+}
+.pv-3,img[src~=pv-3]{
+    padding-bottom:1rem;
+    padding-top:1rem
+}
+.pv-4,img[src~=pv-4]{
+    padding-bottom:2rem;
+    padding-top:2rem
+}
+.pv-5,img[src~=pv-5]{
+    padding-bottom:4rem;
+    padding-top:4rem
+}
+.pv-6,img[src~=pv-6]{
+    padding-bottom:8rem;
+    padding-top:8rem
+}
+.pv-7,img[src~=pv-7]{
+    padding-bottom:16rem;
+    padding-top:16rem
+}
+.pv-8,img[src~=pv-8]{
+    padding-bottom:32rem;
+    padding-top:32rem
+}
+.pv-9,img[src~=pv-9]{
+    padding-bottom:64rem;
+    padding-top:64rem
+}
+.r-0,img[src~=r-0]{
+    right:0
+}
+.r-1,img[src~=r-1]{
+    right:1rem
+}
+.r-1-12th,img[src~=r-1-12th]{
+    right:8.33333333%
+}
+.r-10-12th,img[src~=r-10-12th]{
+    right:83.33333333%
+}
+.r-100pct,img[src~=r-100pct]{
+    right:100%
+}
+.r-10pct,img[src~=r-10pct]{
+    right:10%
+}
+.r-11-12th,img[src~=r-11-12th]{
+    right:91.66666667%
+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+    font-size:.7em;
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+}
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+    border-color:rgba(250,235,215,.8)
+}
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+    border-color:rgba(0,255,255,.8)
+}
+.bc-aquamarine-80pct,img[src~=bc-aquamarine]{
+    border-color:rgba(127,255,212,.8)
+}
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+    border-color:rgba(240,255,255,.8)
+}
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+    border-color:rgba(245,245,220,.8)
+}
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+    border-color:rgba(255,228,196,.8)
+}
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+    border-color:rgba(0,0,0,.8)
+}
+.bc-blanchedalmond-80pct,img[src~=bc-blanchedalmond]{
+    border-color:rgba(255,235,205,.8)
+}
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+    border-color:rgba(0,0,255,.8)
+}
+.bc-blueviolet-80pct,img[src~=bc-blueviolet]{
+    border-color:rgba(138,43,226,.8)
+}
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+    border-color:rgba(165,42,42,.8)
+}
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+    border-color:rgba(222,184,135,.8)
+}
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+    border-color:rgba(95,158,160,.8)
+}
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+    border-color:rgba(127,255,0,.8)
+}
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+    border-color:rgba(210,105,30,.8)
+}
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+    border-color:rgba(255,127,80,.8)
+}
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+    border-color:rgba(100,149,237,.8)
+}
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+    border-color:rgba(255,248,220,.8)
+}
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+    border-color:rgba(220,20,60,.8)
+}
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+    border-color:rgba(0,0,139,.8)
+}
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+    border-color:rgba(0,139,139,.8)
+}
+.bc-darkgoldenrod-80pct,img[src~=bc-darkgoldenrod]{
+    border-color:rgba(184,134,11,.8)
+}
+.bc-darkgray-80pct,.bc-darkgrey-80pct,img[src~=bc-darkgray],img[src~=bc-darkgrey]{
+    border-color:rgba(169,169,169,.8)
+}
+.bc-darkgreen-80pct,img[src~=bc-darkgreen]{
+    border-color:rgba(0,100,0,.8)
+}
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+}
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+}
+.bc-darkolivegreen-80pct,img[src~=bc-darkolivegreen]{
+    border-color:rgba(85,107,47,.8)
+}
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+    border-color:rgba(255,140,0,.8)
+}
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+    border-color:rgba(153,50,204,.8)
+}
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+    border-color:rgba(139,0,0,.8)
+}
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+    border-color:rgba(233,150,122,.8)
+}
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+    border-color:rgba(143,188,143,.8)
+}
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+    border-color:rgba(72,61,139,.8)
+}
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+    border-color:rgba(47,79,79,.8)
+}
+.bc-darkturquoise-80pct,img[src~=bc-darkturquoise]{
+    border-color:rgba(0,206,209,.8)
+}
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+}
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+    border-color:rgba(255,20,147,.8)
+}
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+    border-color:rgba(0,191,255,.8)
+}
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+    border-color:rgba(105,105,105,.8)
+}
+.bc-dodgerblue-80pct,img[src~=bc-dodgerblue]{
+    border-color:rgba(30,144,255,.8)
+}
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+    border-color:rgba(178,34,34,.8)
+}
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+    border-color:rgba(255,250,240,.8)
+}
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+    border-color:rgba(34,139,34,.8)
+}
+.bc-fuchsia-80pct,.bc-magenta-80pct,img[src~=bc-fuchsia],img[src~=bc-magenta]{
+    border-color:rgba(255,0,255,.8)
+}
+.bc-gainsboro-80pct,img[src~=bc-gainsboro]{
+    border-color:rgba(220,220,220,.8)
+}
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+    border-color:rgba(248,248,255,.8)
+}
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+    border-color:rgba(255,215,0,.8)
+}
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+    border-color:rgba(218,165,32,.8)
+}
+.bc-gray-80pct,.bc-grey-80pct,img[src~=bc-gray],img[src~=bc-grey]{
+    border-color:rgba(128,128,128,.8)
+}
+.bc-green-80pct,img[src~=bc-green]{
+    border-color:rgba(0,128,0,.8)
+}
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+    border-color:rgba(173,255,47,.8)
+}
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+    border-color:rgba(240,255,240,.8)
+}
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+    border-color:rgba(255,105,180,.8)
+}
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+    border-color:rgba(205,92,92,.8)
+}
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+    border-color:rgba(75,0,130,.8)
+}
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+    border-color:rgba(255,255,240,.8)
+}
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+    border-color:rgba(240,230,140,.8)
+}
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+    border-color:rgba(230,230,250,.8)
+}
+.bc-lavenderblush-80pct,img[src~=bc-lavenderblush]{
+    border-color:rgba(255,240,245,.8)
+}
+.bc-lawngreen-80pct,img[src~=bc-lawngreen]{
+    border-color:rgba(124,252,0,.8)
+}
+.bc-lemonchiffon-80pct,img[src~=bc-lemonchiffon]{
+    border-color:rgba(255,250,205,.8)
+}
+.bc-lightblue-80pct,img[src~=bc-lightblue]{
+    border-color:rgba(173,216,230,.8)
+}
+.bc-lightcoral-80pct,img[src~=bc-lightcoral]{
+    border-color:rgba(240,128,128,.8)
+}
+.bc-lightcyan-80pct,img[src~=bc-lightcyan]{
+    border-color:rgba(224,255,255,.8)
+}
+.bc-lightgoldenrodyellow-80pct,img[src~=bc-lightgoldenrodyellow]{
+    border-color:rgba(250,250,210,.8)
+}
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+    border-color:rgba(211,211,211,.8)
+}
+.bc-lightgreen-80pct,img[src~=bc-lightgreen]{
+    border-color:rgba(144,238,144,.8)
+}
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+    border-color:rgba(255,182,193,.8)
+}
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+    border-color:rgba(255,160,122,.8)
+}
+.bc-lightseagreen-80pct,img[src~=bc-lightseagreen]{
+    border-color:rgba(32,178,170,.8)
+}
+.bc-lightskyblue-80pct,img[src~=bc-lightskyblue]{
+    border-color:rgba(135,206,250,.8)
+}
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+    border-color:rgba(119,136,153,.8)
+}
+.bc-lightsteelblue-80pct,img[src~=bc-lightsteelblue]{
+    border-color:rgba(176,196,222,.8)
+}
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+    border-color:rgba(255,255,224,.8)
+}
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+    border-color:rgba(0,255,0,.8)
+}
+.bc-limegreen-80pct,img[src~=bc-limegreen]{
+    border-color:rgba(50,205,50,.8)
+}
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+    border-color:rgba(250,240,230,.8)
+}
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+    border-color:rgba(128,0,0,.8)
+}
+.bc-mediumaquamarine-80pct,img[src~=bc-mediumaquamarine]{
+    border-color:rgba(102,205,170,.8)
+}
+.bc-mediumblue-80pct,img[src~=bc-mediumblue]{
+    border-color:rgba(0,0,205,.8)
+}
+.bc-mediumorchid-80pct,img[src~=bc-mediumorchid]{
+    border-color:rgba(186,85,211,.8)
+}
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+    border-color:rgba(147,112,219,.8)
+}
+.bc-mediumseagreen-80pct,img[src~=bc-mediumseagreen]{
+    border-color:rgba(60,179,113,.8)
+}
+.bc-mediumslateblue-80pct,img[src~=bc-mediumslateblue]{
+    border-color:rgba(123,104,238,.8)
+}
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+    border-color:rgba(0,250,154,.8)
+}
+.bc-mediumturquoise-80pct,img[src~=bc-mediumturquoise]{
+    border-color:rgba(72,209,204,.8)
+}
+.bc-mediumvioletred-80pct,img[src~=bc-mediumvioletred]{
+    border-color:rgba(199,21,133,.8)
+}
+.bc-midnightblue-80pct,img[src~=bc-midnightblue]{
+    border-color:rgba(25,25,112,.8)
+}
+.bc-mintcream-80pct,img[src~=bc-mintcream]{
+    border-color:rgba(245,255,250,.8)
+}
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+    border-color:rgba(255,228,225,.8)
+}
+.bc-moccasin-80pct,img[src~=bc-moccasin]{
+    border-color:rgba(255,228,181,.8)
+}
+.bc-navajowhite-80pct,img[src~=bc-navajowhite]{
+    border-color:rgba(255,222,173,.8)
+}
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+    border-color:rgba(0,0,128,.8)
+}
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+    border-color:rgba(253,245,230,.8)
+}
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+}
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+    border-color:rgba(107,142,35,.8)
+}
+.bc-orange-80pct,img[src~=bc-orange]{
+    border-color:rgba(255,165,0,.8)
+}
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+    border-color:rgba(255,69,0,.8)
+}
+.bc-orchid-80pct,img[src~=bc-orchid]{
+    border-color:rgba(218,112,214,.8)
+}
+.bc-palegoldenrod-80pct,img[src~=bc-palegoldenrod]{
+    border-color:rgba(238,232,170,.8)
+}
+.bc-palegreen-80pct,img[src~=bc-palegreen]{
+    border-color:rgba(152,251,152,.8)
+}
+.bc-paleturquoise-80pct,img[src~=bc-paleturquoise]{
+    border-color:rgba(175,238,238,.8)
+}
+.bc-palevioletred-80pct,img[src~=bc-palevioletred]{
+    border-color:rgba(219,112,147,.8)
+}
+.bc-papayawhip-80pct,img[src~=bc-papayawhip]{
+    border-color:rgba(255,239,213,.8)
+}
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+    border-color:rgba(255,218,185,.8)
+}
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+    border-color:rgba(205,133,63,.8)
+}
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+    border-color:rgba(255,192,203,.8)
+}
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+    border-color:rgba(221,160,221,.8)
+}
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+    border-color:rgba(176,224,230,.8)
+}
+.bc-purple-80pct,img[src~=bc-purple]{
+    border-color:rgba(128,0,128,.8)
+}
+.bc-rebeccapurple-80pct,img[src~=bc-rebeccapurple]{
+    border-color:rgba(102,51,153,.8)
+}
+.bc-red-80pct,img[src~=bc-red]{
+    border-color:rgba(255,0,0,.8)
+}
+.bc-rosybrown-80pct,img[src~=bc-rosybrown]{
+    border-color:rgba(188,143,143,.8)
+}
+.bc-royalblue-80pct,img[src~=bc-royalblue]{
+    border-color:rgba(65,105,225,.8)
+}
+.bc-saddlebrown-80pct,img[src~=bc-saddlebrown]{
+    border-color:rgba(139,69,19,.8)
+}
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+    border-color:rgba(250,128,114,.8)
+}
+.bc-sandybrown-80pct,img[src~=bc-sandybrown]{
+    border-color:rgba(244,164,96,.8)
+}
+.bc-seagreen-80pct,img[src~=bc-seagreen]{
+    border-color:rgba(46,139,87,.8)
+}
+.bc-seashell-80pct,img[src~=bc-seashell]{
+    border-color:rgba(255,245,238,.8)
+}
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+    border-color:rgba(160,82,45,.8)
+}
+.bc-silver-80pct,img[src~=bc-silver]{
+    border-color:rgba(192,192,192,.8)
+}
+.bc-skyblue-80pct,img[src~=bc-skyblue]{
+    border-color:rgba(135,206,235,.8)
+}
+.bc-slateblue-80pct,img[src~=bc-slateblue]{
+    border-color:rgba(106,90,205,.8)
+}
+.bc-slategray-80pct,.bc-slategrey-80pct,img[src~=bc-slategray],img[src~=bc-slategrey]{
+    border-color:rgba(112,128,144,.8)
+}
+.bc-snow-80pct,img[src~=bc-snow]{
+    border-color:rgba(255,250,250,.8)
+}
+.bc-springgreen-80pct,img[src~=bc-springgreen]{
+    border-color:rgba(0,255,127,.8)
+}
+.bc-steelblue-80pct,img[src~=bc-steelblue]{
+    border-color:rgba(70,130,180,.8)
+}
+.bc-tan-80pct,img[src~=bc-tan]{
+    border-color:rgba(210,180,140,.8)
+}
+.bc-teal-80pct,img[src~=bc-teal]{
+    border-color:rgba(0,128,128,.8)
+}
+.bc-thistle-80pct,img[src~=bc-thistle]{
+    border-color:rgba(216,191,216,.8)
+}
+.bc-tomato-80pct,img[src~=bc-tomato]{
+    border-color:rgba(255,99,71,.8)
+}
+.bc-transparent,img[src~=bc-transparent]{
+    border-color:transparent
+}
+.bc-turquoise-80pct,img[src~=bc-turquoise]{
+    border-color:rgba(64,224,208,.8)
+}
+.bc-violet-80pct,img[src~=bc-violet]{
+    border-color:rgba(238,130,238,.8)
+}
+.bc-wheat-80pct,img[src~=bc-wheat]{
+    border-color:rgba(245,222,179,.8)
+}
+.bc-white-80pct,img[src~=bc-white]{
+    border-color:rgba(255,255,255,.8)
+}
+.bc-whitesmoke-80pct,img[src~=bc-whitesmoke]{
+    border-color:rgba(245,245,245,.8)
+}
+.bc-yellow-80pct,img[src~=bc-yellow]{
+    border-color:rgba(255,255,0,.8)
+}
+.bc-yellowgreen-80pct,img[src~=bc-yellowgreen]{
+    border-color:rgba(154,205,50,.8)
+}
+.bg-aliceblue-80pct,img[src~=bg-aliceblue]{
+    background:rgba(240,248,255,.8)
+}
+.bg-antiquewhite-80pct,img[src~=bg-antiquewhite]{
+    background:rgba(250,235,215,.8)
+}
+.bg-aqua-80pct,.bg-cyan-80pct,img[src~=bg-aqua],img[src~=bg-cyan]{
+    background:rgba(0,255,255,.8)
+}
+.bg-aquamarine-80pct,img[src~=bg-aquamarine]{
+    background:rgba(127,255,212,.8)
+}
+.bg-azure-80pct,img[src~=bg-azure]{
+    background:rgba(240,255,255,.8)
+}
+.bg-beige-80pct,img[src~=bg-beige]{
+    background:rgba(245,245,220,.8)
+}
+.bg-bisque-80pct,img[src~=bg-bisque]{
+    background:rgba(255,228,196,.8)
+}
+.bg-black-80pct,img[src~=bg-black]{
+    background:rgba(0,0,0,.8)
+}
+.bg-blanchedalmond-80pct,img[src~=bg-blanchedalmond]{
+    background:rgba(255,235,205,.8)
+}
+.bg-blue-80pct,img[src~=bg-blue]{
+    background:rgba(0,0,255,.8)
+}
+.bg-blueviolet-80pct,img[src~=bg-blueviolet]{
+    background:rgba(138,43,226,.8)
+}
+.bg-brown-80pct,img[src~=bg-brown]{
+    background:rgba(165,42,42,.8)
+}
+.bg-burlywood-80pct,img[src~=bg-burlywood]{
+    background:rgba(222,184,135,.8)
+}
+.bg-cadetblue-80pct,img[src~=bg-cadetblue]{
+    background:rgba(95,158,160,.8)
+}
+.bg-chartreuse-80pct,img[src~=bg-chartreuse]{
+    background:rgba(127,255,0,.8)
+}
+.bg-chocolate-80pct,img[src~=bg-chocolate]{
+    background:rgba(210,105,30,.8)
+}
+.bg-coral-80pct,img[src~=bg-coral]{
+    background:rgba(255,127,80,.8)
+}
+.bg-cornflowerblue-80pct,img[src~=bg-cornflowerblue]{
+    background:rgba(100,149,237,.8)
+}
+.bg-cornsilk-80pct,img[src~=bg-cornsilk]{
+    background:rgba(255,248,220,.8)
+}
+.bg-crimson-80pct,img[src~=bg-crimson]{
+    background:rgba(220,20,60,.8)
+}
+.bg-darkblue-80pct,img[src~=bg-darkblue]{
+    background:rgba(0,0,139,.8)
+}
+.bg-darkcyan-80pct,img[src~=bg-darkcyan]{
+    background:rgba(0,139,139,.8)
+}
+.bg-darkgoldenrod-80pct,img[src~=bg-darkgoldenrod]{
+    background:rgba(184,134,11,.8)
+}
+.bg-darkgray-80pct,.bg-darkgrey-80pct,img[src~=bg-darkgray],img[src~=bg-darkgrey]{
+    background:rgba(169,169,169,.8)
+}
+.bg-darkgreen-80pct,img[src~=bg-darkgreen]{
+    background:rgba(0,100,0,.8)
+}
+.bg-darkkhaki-80pct,img[src~=bg-darkkhaki]{
+    background:rgba(189,183,107,.8)
+}
+.bg-darkmagenta-80pct,img[src~=bg-darkmagenta]{
+    background:rgba(139,0,139,.8)
+}
+.bg-darkolivegreen-80pct,img[src~=bg-darkolivegreen]{
+    background:rgba(85,107,47,.8)
+}
+.bg-darkorange-80pct,img[src~=bg-darkorange]{
+    background:rgba(255,140,0,.8)
+}
+.bg-darkorchid-80pct,img[src~=bg-darkorchid]{
+    background:rgba(153,50,204,.8)
+}
+.bg-darkred-80pct,img[src~=bg-darkred]{
+    background:rgba(139,0,0,.8)
+}
+.bg-darksalmon-80pct,img[src~=bg-darksalmon]{
+    background:rgba(233,150,122,.8)
+}
+.bg-darkseagreen-80pct,img[src~=bg-darkseagreen]{
+    background:rgba(143,188,143,.8)
+}
+.bg-darkslateblue-80pct,img[src~=bg-darkslateblue]{
+    background:rgba(72,61,139,.8)
+}
+.bg-darkslategray-80pct,.bg-darkslategrey-80pct,img[src~=bg-darkslategray],img[src~=bg-darkslategrey]{
+    background:rgba(47,79,79,.8)
+}
+.bg-darkturquoise-80pct,img[src~=bg-darkturquoise]{
+    background:rgba(0,206,209,.8)
+}
+.bg-darkviolet-80pct,img[src~=bg-darkviolet]{
+    background:rgba(148,0,211,.8)
+}
+.bg-deeppink-80pct,img[src~=bg-deeppink]{
+    background:rgba(255,20,147,.8)
+}
+.bg-deepskyblue-80pct,img[src~=bg-deepskyblue]{
+    background:rgba(0,191,255,.8)
+}
+.bg-dimgray-80pct,.bg-dimgrey-80pct,img[src~=bg-dimgray],img[src~=bg-dimgrey]{
+    background:rgba(105,105,105,.8)
+}
+.bg-dodgerblue-80pct,img[src~=bg-dodgerblue]{
+    background:rgba(30,144,255,.8)
+}
+.bg-firebrick-80pct,img[src~=bg-firebrick]{
+    background:rgba(178,34,34,.8)
+}
+.bg-floralwhite-80pct,img[src~=bg-floralwhite]{
+    background:rgba(255,250,240,.8)
+}
+.bg-forestgreen-80pct,img[src~=bg-forestgreen]{
+    background:rgba(34,139,34,.8)
+}
+.bg-fuchsia-80pct,.bg-magenta-80pct,img[src~=bg-fuchsia],img[src~=bg-magenta]{
+    background:rgba(255,0,255,.8)
+}
+.bg-gainsboro-80pct,img[src~=bg-gainsboro]{
+    background:rgba(220,220,220,.8)
+}
+.bg-ghostwhite-80pct,img[src~=bg-ghostwhite]{
+    background:rgba(248,248,255,.8)
+}
+.bg-gold-80pct,img[src~=bg-gold]{
+    background:rgba(255,215,0,.8)
+}
+.bg-goldenrod-80pct,img[src~=bg-goldenrod]{
+    background:rgba(218,165,32,.8)
+}
+.bg-gray-80pct,.bg-grey-80pct,img[src~=bg-gray],img[src~=bg-grey]{
+    background:rgba(128,128,128,.8)
+}
+.bg-green-80pct,img[src~=bg-green]{
+    background:rgba(0,128,0,.8)
+}
+.bg-greenyellow-80pct,img[src~=bg-greenyellow]{
+    background:rgba(173,255,47,.8)
+}
+.bg-honeydew-80pct,img[src~=bg-honeydew]{
+    background:rgba(240,255,240,.8)
+}
+.bg-hotpink-80pct,img[src~=bg-hotpink]{
+    background:rgba(255,105,180,.8)
+}
+.bg-indianred-80pct,img[src~=bg-indianred]{
+    background:rgba(205,92,92,.8)
+}
+.bg-indigo-80pct,img[src~=bg-indigo]{
+    background:rgba(75,0,130,.8)
+}
+.bg-ivory-80pct,img[src~=bg-ivory]{
+    background:rgba(255,255,240,.8)
+}
+.bg-khaki-80pct,img[src~=bg-khaki]{
+    background:rgba(240,230,140,.8)
+}
+.bg-lavender-80pct,img[src~=bg-lavender]{
+    background:rgba(230,230,250,.8)
+}
+.bg-lavenderblush-80pct,img[src~=bg-lavenderblush]{
+    background:rgba(255,240,245,.8)
+}
+.bg-lawngreen-80pct,img[src~=bg-lawngreen]{
+    background:rgba(124,252,0,.8)
+}
+.bg-lemonchiffon-80pct,img[src~=bg-lemonchiffon]{
+    background:rgba(255,250,205,.8)
+}
+.bg-lightblue-80pct,img[src~=bg-lightblue]{
+    background:rgba(173,216,230,.8)
+}
+.bg-lightcoral-80pct,img[src~=bg-lightcoral]{
+    background:rgba(240,128,128,.8)
+}
+.bg-lightcyan-80pct,img[src~=bg-lightcyan]{
+    background:rgba(224,255,255,.8)
+}
+.bg-lightgoldenrodyellow-80pct,img[src~=bg-lightgoldenrodyellow]{
+    background:rgba(250,250,210,.8)
+}
+.bg-lightgray-80pct,.bg-lightgrey-80pct,img[src~=bg-lightgray],img[src~=bg-lightgrey]{
+    background:rgba(211,211,211,.8)
+}
+.bg-lightgreen-80pct,img[src~=bg-lightgreen]{
+    background:rgba(144,238,144,.8)
+}
+.bg-lightpink-80pct,img[src~=bg-lightpink]{
+    background:rgba(255,182,193,.8)
+}
+.bg-lightsalmon-80pct,img[src~=bg-lightsalmon]{
+    background:rgba(255,160,122,.8)
+}
+.bg-lightseagreen-80pct,img[src~=bg-lightseagreen]{
+    background:rgba(32,178,170,.8)
+}
+.bg-lightskyblue-80pct,img[src~=bg-lightskyblue]{
+    background:rgba(135,206,250,.8)
+}
+.bg-lightslategray-80pct,.bg-lightslategrey-80pct,img[src~=bg-lightslategray],img[src~=bg-lightslategrey]{
+    background:rgba(119,136,153,.8)
+}
+.bg-lightsteelblue-80pct,img[src~=bg-lightsteelblue]{
+    background:rgba(176,196,222,.8)
+}
+.bg-lightyellow-80pct,img[src~=bg-lightyellow]{
+    background:rgba(255,255,224,.8)
+}
+.bg-lime-80pct,img[src~=bg-lime]{
+    background:rgba(0,255,0,.8)
+}
+.bg-limegreen-80pct,img[src~=bg-limegreen]{
+    background:rgba(50,205,50,.8)
+}
+.bg-linen-80pct,img[src~=bg-linen]{
+    background:rgba(250,240,230,.8)
+}
+.bg-maroon-80pct,img[src~=bg-maroon]{
+    background:rgba(128,0,0,.8)
+}
+.bg-mediumaquamarine-80pct,img[src~=bg-mediumaquamarine]{
+    background:rgba(102,205,170,.8)
+}
+.bg-mediumblue-80pct,img[src~=bg-mediumblue]{
+    background:rgba(0,0,205,.8)
+}
+.bg-mediumorchid-80pct,img[src~=bg-mediumorchid]{
+    background:rgba(186,85,211,.8)
+}
+.bg-mediumpurple-80pct,img[src~=bg-mediumpurple]{
+    background:rgba(147,112,219,.8)
+}
+.bg-mediumseagreen-80pct,img[src~=bg-mediumseagreen]{
+    background:rgba(60,179,113,.8)
+}
+.bg-mediumslateblue-80pct,img[src~=bg-mediumslateblue]{
+    background:rgba(123,104,238,.8)
+}
+.bg-mediumspringgreen-80pct,img[src~=bg-mediumspringgreen]{
+    background:rgba(0,250,154,.8)
+}
+.bg-mediumturquoise-80pct,img[src~=bg-mediumturquoise]{
+    background:rgba(72,209,204,.8)
+}
+.bg-mediumvioletred-80pct,img[src~=bg-mediumvioletred]{
+    background:rgba(199,21,133,.8)
+}
+.bg-midnightblue-80pct,img[src~=bg-midnightblue]{
+    background:rgba(25,25,112,.8)
+}
+.bg-mintcream-80pct,img[src~=bg-mintcream]{
+    background:rgba(245,255,250,.8)
+}
+.bg-mistyrose-80pct,img[src~=bg-mistyrose]{
+    background:rgba(255,228,225,.8)
+}
+.bg-moccasin-80pct,img[src~=bg-moccasin]{
+    background:rgba(255,228,181,.8)
+}
+.bg-navajowhite-80pct,img[src~=bg-navajowhite]{
+    background:rgba(255,222,173,.8)
+}
+.bg-navy-80pct,img[src~=bg-navy]{
+    background:rgba(0,0,128,.8)
+}
+.bg-oldlace-80pct,img[src~=bg-oldlace]{
+    background:rgba(253,245,230,.8)
+}
+.bg-olive-80pct,img[src~=bg-olive]{
+    background:rgba(128,128,0,.8)
+}
+.bg-olivedrab-80pct,img[src~=bg-olivedrab]{
+    background:rgba(107,142,35,.8)
+}
+.bg-orange-80pct,img[src~=bg-orange]{
+    background:rgba(255,165,0,.8)
+}
+.bg-orangered-80pct,img[src~=bg-orangered]{
+    background:rgba(255,69,0,.8)
+}
+.bg-orchid-80pct,img[src~=bg-orchid]{
+    background:rgba(218,112,214,.8)
+}
+.bg-palegoldenrod-80pct,img[src~=bg-palegoldenrod]{
+    background:rgba(238,232,170,.8)
+}
+.bg-palegreen-80pct,img[src~=bg-palegreen]{
+    background:rgba(152,251,152,.8)
+}
+.bg-paleturquoise-80pct,img[src~=bg-paleturquoise]{
+    background:rgba(175,238,238,.8)
+}
+.bg-palevioletred-80pct,img[src~=bg-palevioletred]{
+    background:rgba(219,112,147,.8)
+}
+.bg-papayawhip-80pct,img[src~=bg-papayawhip]{
+    background:rgba(255,239,213,.8)
+}
+.bg-peachpuff-80pct,img[src~=bg-peachpuff]{
+    background:rgba(255,218,185,.8)
+}
+.bg-peru-80pct,img[src~=bg-peru]{
+    background:rgba(205,133,63,.8)
+}
+.bg-pink-80pct,img[src~=bg-pink]{
+    background:rgba(255,192,203,.8)
+}
+.bg-plum-80pct,img[src~=bg-plum]{
+    background:rgba(221,160,221,.8)
+}
+.bg-powderblue-80pct,img[src~=bg-powderblue]{
+    background:rgba(176,224,230,.8)
+}
+.bg-purple-80pct,img[src~=bg-purple]{
+    background:rgba(128,0,128,.8)
+}
+.bg-rebeccapurple-80pct,img[src~=bg-rebeccapurple]{
+    background:rgba(102,51,153,.8)
+}
+.bg-red-80pct,img[src~=bg-red]{
+    background:rgba(255,0,0,.8)
+}
+.bg-rosybrown-80pct,img[src~=bg-rosybrown]{
+    background:rgba(188,143,143,.8)
+}
+.bg-royalblue-80pct,img[src~=bg-royalblue]{
+    background:rgba(65,105,225,.8)
+}
+.bg-saddlebrown-80pct,img[src~=bg-saddlebrown]{
+    background:rgba(139,69,19,.8)
+}
+.bg-salmon-80pct,img[src~=bg-salmon]{
+    background:rgba(250,128,114,.8)
+}
+.bg-sandybrown-80pct,img[src~=bg-sandybrown]{
+    background:rgba(244,164,96,.8)
+}
+.bg-seagreen-80pct,img[src~=bg-seagreen]{
+    background:rgba(46,139,87,.8)
+}
+.bg-seashell-80pct,img[src~=bg-seashell]{
+    background:rgba(255,245,238,.8)
+}
+.bg-sienna-80pct,img[src~=bg-sienna]{
+    background:rgba(160,82,45,.8)
+}
+.bg-silver-80pct,img[src~=bg-silver]{
+    background:rgba(192,192,192,.8)
+}
+.bg-skyblue-80pct,img[src~=bg-skyblue]{
+    background:rgba(135,206,235,.8)
+}
+.bg-slateblue-80pct,img[src~=bg-slateblue]{
+    background:rgba(106,90,205,.8)
+}
+.bg-slategray-80pct,.bg-slategrey-80pct,img[src~=bg-slategray],img[src~=bg-slategrey]{
+    background:rgba(112,128,144,.8)
+}
+.bg-snow-80pct,img[src~=bg-snow]{
+    background:rgba(255,250,250,.8)
+}
+.bg-springgreen-80pct,img[src~=bg-springgreen]{
+    background:rgba(0,255,127,.8)
+}
+.bg-steelblue-80pct,img[src~=bg-steelblue]{
+    background:rgba(70,130,180,.8)
+}
+.bg-tan-80pct,img[src~=bg-tan]{
+    background:rgba(210,180,140,.8)
+}
+.bg-teal-80pct,img[src~=bg-teal]{
+    background:rgba(0,128,128,.8)
+}
+.bg-thistle-80pct,img[src~=bg-thistle]{
+    background:rgba(216,191,216,.8)
+}
+.bg-tomato-80pct,img[src~=bg-tomato]{
+    background:rgba(255,99,71,.8)
+}
+.bg-turquoise-80pct,img[src~=bg-turquoise]{
+    background:rgba(64,224,208,.8)
+}
+.bg-violet-80pct,img[src~=bg-violet]{
+    background:rgba(238,130,238,.8)
+}
+.bg-wheat-80pct,img[src~=bg-wheat]{
+    background:rgba(245,222,179,.8)
+}
+.bg-white-80pct,img[src~=bg-white]{
+    background:rgba(255,255,255,.8)
+}
+.bg-whitesmoke-80pct,img[src~=bg-whitesmoke]{
+    background:rgba(245,245,245,.8)
+}
+.bg-yellow-80pct,img[src~=bg-yellow]{
+    background:rgba(255,255,0,.8)
+}
+.bg-yellowgreen-80pct,img[src~=bg-yellowgreen]{
+    background:rgba(154,205,50,.8)
+}
+img[src~=cf]:after,img[src~=cf]:before{
+    content:" ";
+    display:table
+}
+.color-aliceblue-80pct,img[src~=color-aliceblue]{
+    color:rgba(240,248,255,.8)
+}
+.color-antiquewhite-80pct,img[src~=color-antiquewhite]{
+    color:rgba(250,235,215,.8)
+}
+.color-aqua-80pct,.color-cyan-80pct,img[src~=color-aqua],img[src~=color-cyan]{
+    color:rgba(0,255,255,.8)
+}
+.color-aquamarine-80pct,img[src~=color-aquamarine]{
+    color:rgba(127,255,212,.8)
+}
+.color-azure-80pct,img[src~=color-azure]{
+    color:rgba(240,255,255,.8)
+}
+.color-beige-80pct,img[src~=color-beige]{
+    color:rgba(245,245,220,.8)
+}
+.color-bisque-80pct,img[src~=color-bisque]{
+    color:rgba(255,228,196,.8)
+}
+.color-black-80pct,img[src~=color-black]{
+    color:rgba(0,0,0,.8)
+}
+.color-blanchedalmond-80pct,img[src~=color-blanchedalmond]{
+    color:rgba(255,235,205,.8)
+}
+.color-blue-80pct,img[src~=color-blue]{
+    color:rgba(0,0,255,.8)
+}
+.color-blueviolet-80pct,img[src~=color-blueviolet]{
+    color:rgba(138,43,226,.8)
+}
+.color-brown-80pct,img[src~=color-brown]{
+    color:rgba(165,42,42,.8)
+}
+.color-burlywood-80pct,img[src~=color-burlywood]{
+    color:rgba(222,184,135,.8)
+}
+.color-cadetblue-80pct,img[src~=color-cadetblue]{
+    color:rgba(95,158,160,.8)
+}
+.color-chartreuse-80pct,img[src~=color-chartreuse]{
+    color:rgba(127,255,0,.8)
+}
+.color-chocolate-80pct,img[src~=color-chocolate]{
+    color:rgba(210,105,30,.8)
+}
+.color-coral-80pct,img[src~=color-coral]{
+    color:rgba(255,127,80,.8)
+}
+.color-cornflowerblue-80pct,img[src~=color-cornflowerblue]{
+    color:rgba(100,149,237,.8)
+}
+.color-cornsilk-80pct,img[src~=color-cornsilk]{
+    color:rgba(255,248,220,.8)
+}
+.color-crimson-80pct,img[src~=color-crimson]{
+    color:rgba(220,20,60,.8)
+}
+.color-darkblue-80pct,img[src~=color-darkblue]{
+    color:rgba(0,0,139,.8)
+}
+.color-darkcyan-80pct,img[src~=color-darkcyan]{
+    color:rgba(0,139,139,.8)
+}
+.color-darkgoldenrod-80pct,img[src~=color-darkgoldenrod]{
+    color:rgba(184,134,11,.8)
+}
+.color-darkgray-80pct,.color-darkgrey-80pct,img[src~=color-darkgray],img[src~=color-darkgrey]{
+    color:rgba(169,169,169,.8)
+}
+.color-darkgreen-80pct,img[src~=color-darkgreen]{
+    color:rgba(0,100,0,.8)
+}
+.color-darkkhaki-80pct,img[src~=color-darkkhaki]{
+    color:rgba(189,183,107,.8)
+}
+.color-darkmagenta-80pct,img[src~=color-darkmagenta]{
+    color:rgba(139,0,139,.8)
+}
+.color-darkolivegreen-80pct,img[src~=color-darkolivegreen]{
+    color:rgba(85,107,47,.8)
+}
+.color-darkorange-80pct,img[src~=color-darkorange]{
+    color:rgba(255,140,0,.8)
+}
+.color-darkorchid-80pct,img[src~=color-darkorchid]{
+    color:rgba(153,50,204,.8)
+}
+.color-darkred-80pct,img[src~=color-darkred]{
+    color:rgba(139,0,0,.8)
+}
+.color-darksalmon-80pct,img[src~=color-darksalmon]{
+    color:rgba(233,150,122,.8)
+}
+.color-darkseagreen-80pct,img[src~=color-darkseagreen]{
+    color:rgba(143,188,143,.8)
+}
+.color-darkslateblue-80pct,img[src~=color-darkslateblue]{
+    color:rgba(72,61,139,.8)
+}
+.color-darkslategray-80pct,.color-darkslategrey-80pct,img[src~=color-darkslategray],img[src~=color-darkslategrey]{
+    color:rgba(47,79,79,.8)
+}
+.color-darkturquoise-80pct,img[src~=color-darkturquoise]{
+    color:rgba(0,206,209,.8)
+}
+.color-darkviolet-80pct,img[src~=color-darkviolet]{
+    color:rgba(148,0,211,.8)
+}
+.color-deeppink-80pct,img[src~=color-deeppink]{
+    color:rgba(255,20,147,.8)
+}
+.color-deepskyblue-80pct,img[src~=color-deepskyblue]{
+    color:rgba(0,191,255,.8)
+}
+.color-dimgray-80pct,.color-dimgrey-80pct,img[src~=color-dimgray],img[src~=color-dimgrey]{
+    color:rgba(105,105,105,.8)
+}
+.color-dodgerblue-80pct,img[src~=color-dodgerblue]{
+    color:rgba(30,144,255,.8)
+}
+.color-firebrick-80pct,img[src~=color-firebrick]{
+    color:rgba(178,34,34,.8)
+}
+.color-floralwhite-80pct,img[src~=color-floralwhite]{
+    color:rgba(255,250,240,.8)
+}
+.color-forestgreen-80pct,img[src~=color-forestgreen]{
+    color:rgba(34,139,34,.8)
+}
+.color-fuchsia-80pct,.color-magenta-80pct,img[src~=color-fuchsia],img[src~=color-magenta]{
+    color:rgba(255,0,255,.8)
+}
+.color-gainsboro-80pct,img[src~=color-gainsboro]{
+    color:rgba(220,220,220,.8)
+}
+.color-ghostwhite-80pct,img[src~=color-ghostwhite]{
+    color:rgba(248,248,255,.8)
+}
+.color-gold-80pct,img[src~=color-gold]{
+    color:rgba(255,215,0,.8)
+}
+.color-goldenrod-80pct,img[src~=color-goldenrod]{
+    color:rgba(218,165,32,.8)
+}
+.color-gray-80pct,.color-grey-80pct,img[src~=color-gray],img[src~=color-grey]{
+    color:rgba(128,128,128,.8)
+}
+.color-green-80pct,img[src~=color-green]{
+    color:rgba(0,128,0,.8)
+}
+.color-greenyellow-80pct,img[src~=color-greenyellow]{
+    color:rgba(173,255,47,.8)
+}
+.color-honeydew-80pct,img[src~=color-honeydew]{
+    color:rgba(240,255,240,.8)
+}
+.color-hotpink-80pct,img[src~=color-hotpink]{
+    color:rgba(255,105,180,.8)
+}
+.color-indianred-80pct,img[src~=color-indianred]{
+    color:rgba(205,92,92,.8)
+}
+.color-indigo-80pct,img[src~=color-indigo]{
+    color:rgba(75,0,130,.8)
+}
+.color-ivory-80pct,img[src~=color-ivory]{
+    color:rgba(255,255,240,.8)
+}
+.color-khaki-80pct,img[src~=color-khaki]{
+    color:rgba(240,230,140,.8)
+}
+.color-lavender-80pct,img[src~=color-lavender]{
+    color:rgba(230,230,250,.8)
+}
+.color-lavenderblush-80pct,img[src~=color-lavenderblush]{
+    color:rgba(255,240,245,.8)
+}
+.color-lawngreen-80pct,img[src~=color-lawngreen]{
+    color:rgba(124,252,0,.8)
+}
+.color-lemonchiffon-80pct,img[src~=color-lemonchiffon]{
+    color:rgba(255,250,205,.8)
+}
+.color-lightblue-80pct,img[src~=color-lightblue]{
+    color:rgba(173,216,230,.8)
+}
+.color-lightcoral-80pct,img[src~=color-lightcoral]{
+    color:rgba(240,128,128,.8)
+}
+.color-lightcyan-80pct,img[src~=color-lightcyan]{
+    color:rgba(224,255,255,.8)
+}
+.color-lightgoldenrodyellow-80pct,img[src~=color-lightgoldenrodyellow]{
+    color:rgba(250,250,210,.8)
+}
+.color-lightgray-80pct,.color-lightgrey-80pct,img[src~=color-lightgray],img[src~=color-lightgrey]{
+    color:rgba(211,211,211,.8)
+}
+.color-lightgreen-80pct,img[src~=color-lightgreen]{
+    color:rgba(144,238,144,.8)
+}
+.color-lightpink-80pct,img[src~=color-lightpink]{
+    color:rgba(255,182,193,.8)
+}
+.color-lightsalmon-80pct,img[src~=color-lightsalmon]{
+    color:rgba(255,160,122,.8)
+}
+.color-lightseagreen-80pct,img[src~=color-lightseagreen]{
+    color:rgba(32,178,170,.8)
+}
+.color-lightskyblue-80pct,img[src~=color-lightskyblue]{
+    color:rgba(135,206,250,.8)
+}
+.color-lightslategray-80pct,.color-lightslategrey-80pct,img[src~=color-lightslategray],img[src~=color-lightslategrey]{
+    color:rgba(119,136,153,.8)
+}
+.color-lightsteelblue-80pct,img[src~=color-lightsteelblue]{
+    color:rgba(176,196,222,.8)
+}
+.color-lightyellow-80pct,img[src~=color-lightyellow]{
+    color:rgba(255,255,224,.8)
+}
+.color-lime-80pct,img[src~=color-lime]{
+    color:rgba(0,255,0,.8)
+}
+.color-limegreen-80pct,img[src~=color-limegreen]{
+    color:rgba(50,205,50,.8)
+}
+.color-linen-80pct,img[src~=color-linen]{
+    color:rgba(250,240,230,.8)
+}
+.color-maroon-80pct,img[src~=color-maroon]{
+    color:rgba(128,0,0,.8)
+}
+.color-mediumaquamarine-80pct,img[src~=color-mediumaquamarine]{
+    color:rgba(102,205,170,.8)
+}
+.color-mediumblue-80pct,img[src~=color-mediumblue]{
+    color:rgba(0,0,205,.8)
+}
+.color-mediumorchid-80pct,img[src~=color-mediumorchid]{
+    color:rgba(186,85,211,.8)
+}
+.color-mediumpurple-80pct,img[src~=color-mediumpurple]{
+    color:rgba(147,112,219,.8)
+}
+.color-mediumseagreen-80pct,img[src~=color-mediumseagreen]{
+    color:rgba(60,179,113,.8)
+}
+.color-mediumslateblue-80pct,img[src~=color-mediumslateblue]{
+    color:rgba(123,104,238,.8)
+}
+.color-mediumspringgreen-80pct,img[src~=color-mediumspringgreen]{
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diff --git a/4 - Simpson and Trapezoidal rules/slides/js/abcjs_basic_5.6.3-min.js b/4 - Simpson and Trapezoidal rules/slides/js/abcjs_basic_5.6.3-min.js
new file mode 100644
index 0000000..fba865e
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/js/abcjs_basic_5.6.3-min.js	
@@ -0,0 +1,3 @@
+/*! abcjs_basic v5.6.3 Copyright © 2009-2018 Paul Rosen and Gregory Dyke (http://abcjs.net) */
+/*! For license information please see abcjs_basic_5.6.3-min.js.LICENSE */
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e=r.gsub(t,""," ");return e=r.gsub(e,"&","&"),e=r.gsub(e,"<","<"),r.gsub(e,">",">")},p=function(e,i,r){i||(i=" ");var s=i.charAt(r);" "===s&&(s="SPACE");var n=f(i.substring(0,r))+''+s+""+f(i.substring(r+1));!function(t){u.warnings||(u.warnings=[]),u.warnings.push(t)}("Music Line:"+t.getNumLines()+":"+(r+1)+": "+e+":  "+n),function(t){u.warningObjects||(u.warningObjects=[]),u.warningObjects.push(t)}({message:e,line:i,startChar:u.iChar+r,column:r})},m=new n(e,p,u,t);this.getWarnings=function(){return u.warnings},this.getWarningObjects=function(){return u.warningObjects};var g=function(t,i){if('"'===t.charAt(i)){var r=e.getBrackettedSubstring(t,i,5);if(r[2]||p("Missing the closing quote while parsing the chord symbol",t,i),r[0]>0&&r[1].length>0&&"^"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="above";else if(r[0]>0&&r[1].length>0&&"_"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="below";else if(r[0]>0&&r[1].length>0&&"<"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="left";else if(r[0]>0&&r[1].length>0&&">"===r[1].charAt(0))r[1]=r[1].substring(1),r[2]="right";else if(r[0]>0&&r[1].length>0&&"@"===r[1].charAt(0)){r[1]=r[1].substring(1);var s=e.getFloat(r[1]);0===s.digits&&p("Missing first position in absolutely positioned annotation.",t,i),r[1]=r[1].substring(s.digits),","!==r[1][0]&&p("Missing comma absolutely positioned annotation.",t,i),r[1]=r[1].substring(1);var n=e.getFloat(r[1]);0===n.digits&&p("Missing second position in absolutely positioned annotation.",t,i),r[1]=r[1].substring(n.digits);var a=e.skipWhiteSpace(r[1]);r[1]=r[1].substring(a),r[2]=null,r[3]={x:s.value,y:n.value}}else r[1]=r[1].replace(/([ABCDEFG0-9])b/g,"$1♭"),r[1]=r[1].replace(/([ABCDEFG0-9])#/g,"$1♯"),r[2]="default",r[1]=o.chordName(u,r[1]);return r}return[0,""]},v=["trill","lowermordent","uppermordent","mordent","pralltriller","accent","fermata","invertedfermata","tenuto","0","1","2","3","4","5","+","wedge","open","thumb","snap","turn","roll","breath","shortphrase","mediumphrase","longphrase","segno","coda","D.S.","D.C.","fine","slide","^","marcato","upbow","downbow","/","//","///","////","trem1","trem2","trem3","trem4","turnx","invertedturn","invertedturnx","trill(","trill)","arpeggio","xstem","mark","umarcato","style=normal","style=harmonic","style=rhythm","style=x"],b=["p","pp","f","ff","mf","mp","ppp","pppp","fff","ffff","sfz"],y=["crescendo(","crescendo)","diminuendo(","diminuendo)"],w=[["<","accent"],[">","accent"],["tr","trill"],["plus","+"],["emphasis","accent"],["^","umarcato"],["marcato","umarcato"]],x=[["<(","crescendo("],["<)","crescendo)"],[">(","diminuendo("],[">)","diminuendo)"]],k=function(t,i){var s=u.macros[t.charAt(i)];if(void 0!==s)return"!"!==s.charAt(0)&&"+"!==s.charAt(0)||(s=s.substring(1)),"!"!==s.charAt(s.length-1)&&"+"!==s.charAt(s.length-1)||(s=s.substring(0,s.length-1)),r.detect(v,function(t){return s===t})?[1,s]:r.detect(b,function(t){return s===t})?("hidden"===u.volumePosition&&(s=""),[1,s]):r.detect(y,function(t){return"hidden"===u.dynamicPosition&&(s=""),s===t})?[1,s]:(r.detect(u.ignoredDecorations,function(t){return s===t})||p("Unknown macro: "+s,t,i),[1,""]);switch(t.charAt(i)){case".":return[1,"staccato"];case"u":return[1,"upbow"];case"v":return[1,"downbow"];case"~":return[1,"irishroll"];case"!":case"+":var n=e.getBrackettedSubstring(t,i,5);return n[1].length>0&&("^"===n[1].charAt(0)||"_"===n[1].charAt(0))&&(n[1]=n[1].substring(1)),r.detect(v,function(t){return n[1]===t})?n:r.detect(b,function(t){return n[1]===t})?("hidden"===u.volumePosition&&(n[1]=""),n):r.detect(y,function(t){return n[1]===t})?("hidden"===u.dynamicPosition&&(n[1]=""),n):r.detect(w,function(t){return n[1]===t[0]&&(n[1]=t[1],!0)})?n:r.detect(x,function(t){return n[1]===t[0]&&(n[1]=t[1],!0)})?("hidden"===u.dynamicPosition&&(n[1]=""),n):"!"!==t.charAt(i)||1!==n[0]&&"!"===t.charAt(i+n[0]-1)?(p("Unknown decoration: "+n[1],t,i),n[1]="",n):[1,null];case"H":return[1,"fermata"];case"J":return[1,"slide"];case"L":return[1,"accent"];case"M":return[1,"mordent"];case"O":return[1,"coda"];case"P":return[1,"pralltriller"];case"R":return[1,"roll"];case"S":return[1,"segno"];case"T":return[1,"trill"]}return[0,0]},A=function(t,i){for(var r=i;e.isWhiteSpace(t.charAt(i));)i++;return[i-r]},T=function(t,i){var r=e.getBarLine(t,i);if(0===r.len)return[0,""];if(r.warn)return p(r.warn,t,i),[r.len,""];for(var s=0;s="2"&&t.charAt(i+1)<="9"?(void 0!==r.triplet?p("Can't nest triplets",t,i):(r.triplet=t.charAt(i+1)-"0",r.tripletQ=S[r.triplet],r.num_notes=r.triplet,i+2="1"&&t.charAt(i+4)<="9"?(r.num_notes=t.charAt(i+4)-"0",i+=3):p("expected number after the two colons after the triplet to mark the duration",t,i):i+3="1"&&t.charAt(i+3)<="9"?(r.tripletQ=t.charAt(i+3)-"0",i+4="1"&&t.charAt(i+5)<="9"&&(r.num_notes=t.charAt(i+5)-"0",i+=4):i+=2):p("expected number after the triplet to mark the duration",t,i))),i++):void 0===r.startSlur?r.startSlur=1:r.startSlur++),i++;return r.consumed=i-s,r},C=function(t,e){switch(t.charAt(e)){case">":return e"===t.charAt(e+1)?[2,1.75,.25]:[1,1.5,.5];case"<":return e"!==i.charAt(r))return s;r--,c="broken_rhythm";break;case">":case"<":if(!a(c))return null;if(!n)return s.endChar=r,s;var p=C(i,r);r+=p[0]-1,u.next_note_duration=p[2],s.duration=p[1]*s.duration,c="end_slur";break;default:return a(c)?(s.endChar=r,s):null}if(++r===i.length)return a(c)?(s.endChar=r,s):null}return null};function P(){var e={startChar:-1,endChar:-1};u.partForNextLine.title&&(e.part=u.partForNextLine),e.clef=u.currentVoice&&void 0!==u.staves[u.currentVoice.staffNum].clef?r.clone(u.staves[u.currentVoice.staffNum].clef):r.clone(u.clef);var i=u.currentVoice?u.currentVoice.scoreTranspose:0;if(e.key=a.standardKey(u.key.root+u.key.acc+u.key.mode,u.key.root,u.key.acc,i),e.key.mode=u.key.mode,u.key.impliedNaturals&&(e.key.impliedNaturals=u.key.impliedNaturals),u.key.explicitAccidentals)for(var s=0;s0&&(s[s.length-1].end_beam=!0):p("Unknown character '"+r[1].charAt(n)+"' while parsing grace note",t,i),n++)}if(s.length)return[r[0],s]}return[0]};function H(t,e){if("&"===t.charAt(e)){for(var i=e;t.charAt(e)&&":"!==t.charAt(e)&&"|"!==t.charAt(e);)e++;return[e-i,t.substring(i+1,e)]}return[0]}function z(t){var e=t.origMeter;return e&&"specified"===e.type&&e.value&&0!==e.value.length?parseInt(e.value[0].num,10)/parseInt(e.value[0].den,10):1}var I=function i(s){var n=m.parseHeader(s);n.regular&&function(i){m.resolveTempo(),u.is_in_header=!1;for(var s=0,n=u.iChar;e.isWhiteSpace(i.charAt(s))&&s0&&(s+=o[0],"V"===o[1]&&(a=!0));for(var h={},l=0;s0)s+=f[0],"V"===f[1]&&(a=!0);else{var v;for(a&&(P(),a=!1);;)if((v=e.eatWhiteSpace(i,s))>0&&(s+=v),s>0&&""===i.charAt(s-1)&&(v=m.letter_to_body_header(i,s))[0]>0&&("V"===v[1]&&P(),s=v[0],u.start_new_line=!1),(v=A(i,s))[0]>0&&(s+=v[0]),(v=g(i,s))[0]>0){h.chord||(h.chord=[]);var b=e.translateString(v[1]);b=b.replace(/;/g,"\n");for(var y=!1,w=0;w0&&(h.force_end_beam_last=!0),s+=x}else if((v=-1==="ABCDEFGabcdefgxyzZ[]|^_{".indexOf(i.charAt(s))?k(i,s):[0])[0]>0)null===v[1]?s+10&&(0===v[1].indexOf("style=")?h.style=v[1].substr(6):(void 0===h.decoration&&(h.decoration=[]),h.decoration.push(v[1]))),s+=v[0];else{if(!((v=L(i,s))[0]>0))break;h.gracenotes=v[1],s+=v[0]}if((v=T(i,s))[0]>0){l=0,void 0!==h.gracenotes&&(h.rest={type:"spacer"},h.duration=.125,u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+s,n+s+v[0],h),u.measureNotEmpty=!0,h={});var S={type:v[1]};0===S.type.length?p("Unknown bar type",i,s):(u.inEnding&&"bar_thin"!==S.type&&(S.endEnding=!0,u.inEnding=!1),v[2]&&(S.startEnding=v[2],u.inEnding&&(S.endEnding=!0),u.inEnding=!0),void 0!==h.decoration&&(S.decoration=h.decoration),void 0!==h.chord&&(S.chord=h.chord),S.startEnding&&void 0===u.barFirstEndingNum?u.barFirstEndingNum=u.currBarNumber:S.startEnding&&S.endEnding&&u.barFirstEndingNum?u.currBarNumber=u.barFirstEndingNum:S.endEnding&&(u.barFirstEndingNum=void 0),"bar_invisible"!==S.type&&u.measureNotEmpty&&(void 0===u.currentVoice||0===u.currentVoice.staffNum&&0===u.currentVoice.index)&&(u.currBarNumber++,u.barNumbers&&u.currBarNumber%u.barNumbers==0&&(S.barNumber=u.currBarNumber)),u.addFormattingOptions(h,t.formatting,"bar"),t.appendElement("bar",n+s,n+s+v[0],S),u.measureNotEmpty=!1,h={}),s+=v[0],u.currentVoice&&(u.currentVoice.staffNum,u.currentVoice.index)}else if("&"===i[s])(v=H(i,s))[0]>0&&(t.appendElement("overlay",n,n+1,{}),s+=1,l++);else{if((v=N(i,s)).consumed>0&&(void 0!==v.startSlur&&(h.startSlur=v.startSlur),void 0!==v.triplet&&(c>0?p("Can't nest triplets",i,s):(h.startTriplet=v.triplet,h.tripletMultiplier=v.tripletQ/v.triplet,c=void 0===v.num_notes?v.triplet:v.num_notes)),s+=v.consumed),"["===i.charAt(s)){var E=s;s++;for(var M=null,I=!1,O=!1;!O;){var D=k(i,s);D[0]>0&&(s+=D[0]);var Y=B(i,s,{},!1);if(null!==Y)D[0]>0&&0!==D[1].indexOf("style=")&&(void 0===h.decoration&&(h.decoration=[]),h.decoration.push(D[1])),Y.end_beam&&(h.end_beam=!0,delete Y.end_beam),void 0===h.pitches?(h.duration=Y.duration,h.pitches=[Y]):h.pitches.push(Y),delete Y.duration,D[0]>0&&0===D[1].indexOf("style=")&&(h.pitches[h.pitches.length-1].style=D[1].substr(6)),u.inTieChord[h.pitches.length]&&(Y.endTie=!0,u.inTieChord[h.pitches.length]=void 0),Y.startTie&&(u.inTieChord[h.pitches.length]=!0),s=Y.endChar,delete Y.endChar;else if(" "===i.charAt(s))p("Spaces are not allowed in chords",i,s),s++;else{if(s0&&0==--c&&(h.endTriplet=!0);for(var F=!1;s":case"<":var W=C(i,s);s+=W[0]-1,u.next_note_duration=W[2],M?M*=W[1]:M=W[1];break;case"1":case"2":case"3":case"4":case"5":case"6":case"7":case"8":case"9":case"/":var V=e.getFraction(i,s);M=V.value,s=V.index," "===i.charAt(s)&&(I=!0),"-"===i.charAt(s)||")"===i.charAt(s)||" "===i.charAt(s)||"<"===i.charAt(s)||">"===i.charAt(s)?s--:F=!0;break;default:F=!0}F||s++}}else p("Expected ']' to end the chords",i,s);void 0!==h.pitches&&(null!==M&&(h.duration=h.duration*M,I&&_(h)),u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+E,n+s,h),u.measureNotEmpty=!0,h={}),O=!0}}}else{var R={},G=B(i,s,R,!0);void 0!==R.endTie&&(u.inTie[l]=!0),null!==G&&(void 0!==G.pitch?(h.pitches=[{}],void 0!==G.accidental&&(h.pitches[0].accidental=G.accidental),h.pitches[0].pitch=G.pitch,G.midipitch&&(h.pitches[0].midipitch=G.midipitch),void 0!==G.endSlur&&(h.pitches[0].endSlur=G.endSlur),void 0!==G.endTie&&(h.pitches[0].endTie=G.endTie),void 0!==G.startSlur&&(h.pitches[0].startSlur=G.startSlur),void 0!==h.startSlur&&(h.pitches[0].startSlur=h.startSlur),void 0!==G.startTie&&(h.pitches[0].startTie=G.startTie),void 0!==h.startTie&&(h.pitches[0].startTie=h.startTie)):(h.rest=G.rest,void 0!==G.endSlur&&(h.endSlur=G.endSlur),void 0!==G.endTie&&(h.rest.endTie=G.endTie),void 0!==G.startSlur&&(h.startSlur=G.startSlur),void 0!==G.startTie&&(h.rest.startTie=G.startTie),void 0!==h.startTie&&(h.rest.startTie=h.startTie)),void 0!==G.chord&&(h.chord=G.chord),void 0!==G.duration&&(h.duration=G.duration),void 0!==G.decoration&&(h.decoration=G.decoration),void 0!==G.graceNotes&&(h.graceNotes=G.graceNotes),delete h.startSlur,u.inTie[l]&&(void 0!==h.pitches?(h.pitches[0].endTie=!0,u.inTie[l]=!1):"spacer"!==h.rest.type&&(h.rest.endTie=!0,u.inTie[l]=!1)),(G.startTie||h.startTie)&&(u.inTie[l]=!0),s=G.endChar,c>0&&0==--c&&(h.endTriplet=!0),G.end_beam&&_(h),h.rest&&"rest"===h.rest.type&&1===h.duration&&z(u)<=1&&(h.rest.type="whole",h.duration=z(u)),u.addFormattingOptions(h,t.formatting,"note"),t.appendElement("note",n+d,n+s,h),u.measureNotEmpty=!0,h={})}s===d&&(" "!==i.charAt(s)&&"`"!==i.charAt(s)&&p("Unknown character ignored",i,s),s++)}}}}}(n.str),n.newline&&P(),n.words&&function(t,i){if(t){"-"!==(i=r.strip(i)).charAt(i.length-1)&&(i+=" ");for(var s=[],n=0,a=!1,c=function(t){var c=r.strip(i.substring(n,t));if(n=t+1,c.length>0){a&&(c=r.gsub(c,"~"," "));var o=i.charAt(t);return"_"!==o&&"-"!==o&&(o=" "),s.push({syllable:e.translateString(c),divider:o}),a=!1,!0}return!1},o=0;o0&&(r.last(s).divider="-",s.push({skip:!0,to:"next"}));break;case"_":c(o),s.push({skip:!0,to:"slur"});break;case"*":c(o),s.push({skip:!0,to:"next"});break;case"|":c(o),s.push({skip:!0,to:"bar"});break;case"~":a=!0}r.each(t,function(t){if(0!==s.length)if(s[0].skip){switch(s[0].to){case"next":case"slur":"note"===t.el_type&&null!==t.pitches&&s.shift();break;case"bar":"bar"===t.el_type&&s.shift()}"bar"!==t.el_type&&(void 0===t.lyric?t.lyric=[{syllable:"",divider:" "}]:t.lyric.push({syllable:"",divider:" "}))}else if("note"===t.el_type&&void 0===t.rest){var e=s.shift();e.syllable&&(e.syllable=e.syllable.replace(/ +/g," ")),void 0===t.lyric?t.lyric=[e]:t.lyric.push(e)}})}else p("Can't add words before the first line of music",t,0)}(t.getCurrentVoice(),s.substring(2)),n.symbols&&function(t,i){if(t){"-"!==(i=r.strip(i)).charAt(i.length-1)&&(i+=" ");for(var s=[],n=0,a=!1,c=function(t){var c=r.strip(i.substring(n,t));if(n=t+1,c.length>0){a&&(c=r.gsub(c,"~"," "));var o=i.charAt(t);return"_"!==o&&"-"!==o&&(o=" "),s.push({syllable:e.translateString(c),divider:o}),a=!1,!0}return!1},o=0;o0&&(r.last(s).divider="-",s.push({skip:!0,to:"next"}));break;case"_":c(o),s.push({skip:!0,to:"slur"});break;case"*":c(o),s.push({skip:!0,to:"next"});break;case"|":c(o),s.push({skip:!0,to:"bar"});break;case"~":a=!0}r.each(t,function(t){if(0!==s.length)if(s[0].skip)switch(s[0].to){case"next":case"slur":"note"===t.el_type&&null!==t.pitches&&s.shift();break;case"bar":"bar"===t.el_type&&s.shift()}else if("note"===t.el_type&&void 0===t.rest){var e=s.shift();void 0===t.lyric?t.lyric=[e]:t.lyric.push(e)}})}else p("Can't add symbols before the first line of music",t,0)}(t.getCurrentVoice(),s.substring(2)),n.recurse&&i(n.str)};function O(t,e){t.push({el_type:"hint"});for(var i=0;i0&&"-"===g.token?(m=!0,h[h.length-1]=h[h.length-1]+g.token):m?(m=!1,h[h.length-1]=h[h.length-1]+g.token):h.push(g.token):"number"===g.type?(o?e("Font size specified twice in font definition.",r,s):o=g.token,p="modifier"):"bold"===v?l="bold":"italic"===v?d="italic":"underline"===v?u="underline":"box"===v?(a[n]?f=!0:e('This font style doesn\'t support "box"',r,s),p="finished"):"utf"===v?(g=t.shift(),p="size"):e("Unknown parameter "+g.token+" in font definition.",r,s);break;case"size":"number"===g.type?o?e("Font size specified twice in font definition.",r,s):o=g.token:e("Expected font size in font definition.",r,s),p="modifier";break;case"modifier":"bold"===v?l="bold":"italic"===v?d="italic":"underline"===v?u="underline":"box"===v?(a[n]?f=!0:e('This font style doesn\'t support "box"',r,s),p="finished"):e("Unknown parameter "+g.token+" in font definition.",r,s);break;case"finished":e('Extra characters found after "box" in font definition.',r,s)}}void 0===o?i?o=i.size:(e("Must specify the size of the font since there is no default value.",r,s),o=12):o=parseFloat(o);var b=function(t){switch(t){case"Arial-Italic":return{face:"Arial",weight:"normal",style:"italic",decoration:"none"};case"Arial-Bold":return{face:"Arial",weight:"bold",style:"normal",decoration:"none"};case"Bookman-Demi":return{face:"Bookman,serif",weight:"bold",style:"normal",decoration:"none"};case"Bookman-DemiItalic":return{face:"Bookman,serif",weight:"bold",style:"italic",decoration:"none"};case"Bookman-Light":return{face:"Bookman,serif",weight:"normal",style:"normal",decoration:"none"};case"Bookman-LightItalic":return{face:"Bookman,serif",weight:"normal",style:"italic",decoration:"none"};case"Courier":return{face:'"Courier New"',weight:"normal",style:"normal",decoration:"none"};case"Courier-Oblique":return{face:'"Courier New"',weight:"normal",style:"italic",decoration:"none"};case"Courier-Bold":return{face:'"Courier New"',weight:"bold",style:"normal",decoration:"none"};case"Courier-BoldOblique":return{face:'"Courier New"',weight:"bold",style:"italic",decoration:"none"};case"AvantGarde-Book":return{face:"AvantGarde,Arial",weight:"normal",style:"normal",decoration:"none"};case"AvantGarde-BookOblique":return{face:"AvantGarde,Arial",weight:"normal",style:"italic",decoration:"none"};case"AvantGarde-Demi":case"Avant-Garde-Demi":return{face:"AvantGarde,Arial",weight:"bold",style:"normal",decoration:"none"};case"AvantGarde-DemiOblique":return{face:"AvantGarde,Arial",weight:"bold",style:"italic",decoration:"none"};case"Helvetica-Oblique":return{face:"Helvetica",weight:"normal",style:"italic",decoration:"none"};case"Helvetica-Bold":return{face:"Helvetica",weight:"bold",style:"normal",decoration:"none"};case"Helvetica-BoldOblique":return{face:"Helvetica",weight:"bold",style:"italic",decoration:"none"};case"Helvetica-Narrow":return{face:'"Helvetica Narrow",Helvetica',weight:"normal",style:"normal",decoration:"none"};case"Helvetica-Narrow-Oblique":return{face:'"Helvetica Narrow",Helvetica',weight:"normal",style:"italic",decoration:"none"};case"Helvetica-Narrow-Bold":return{face:'"Helvetica Narrow",Helvetica',weight:"bold",style:"normal",decoration:"none"};case"Helvetica-Narrow-BoldOblique":return{face:'"Helvetica Narrow",Helvetica',weight:"bold",style:"italic",decoration:"none"};case"Palatino-Roman":return{face:"Palatino",weight:"normal",style:"normal",decoration:"none"};case"Palatino-Italic":return{face:"Palatino",weight:"normal",style:"italic",decoration:"none"};case"Palatino-Bold":return{face:"Palatino",weight:"bold",style:"normal",decoration:"none"};case"Palatino-BoldItalic":return{face:"Palatino",weight:"bold",style:"italic",decoration:"none"};case"NewCenturySchlbk-Roman":return{face:'"New Century",serif',weight:"normal",style:"normal",decoration:"none"};case"NewCenturySchlbk-Italic":return{face:'"New Century",serif',weight:"normal",style:"italic",decoration:"none"};case"NewCenturySchlbk-Bold":return{face:'"New Century",serif',weight:"bold",style:"normal",decoration:"none"};case"NewCenturySchlbk-BoldItalic":return{face:'"New Century",serif',weight:"bold",style:"italic",decoration:"none"};case"Times":case"Times-Roman":case"Times-Narrow":case"Times-Courier":case"Times-New-Roman":return{face:'"Times New Roman"',weight:"normal",style:"normal",decoration:"none"};case"Times-Italic":case"Times-Italics":return{face:'"Times New Roman"',weight:"normal",style:"italic",decoration:"none"};case"Times-Bold":return{face:'"Times New Roman"',weight:"bold",style:"normal",decoration:"none"};case"Times-BoldItalic":return{face:'"Times New Roman"',weight:"bold",style:"italic",decoration:"none"};case"ZapfChancery-MediumItalic":return{face:'"Zapf Chancery",cursive,serif',weight:"normal",style:"normal",decoration:"none"};default:return null}}(h=h.join(" ")),y={};return b?(y.face=b.face,y.weight=b.weight,y.style=b.style,y.decoration=b.decoration,y.size=o,f&&(y.box=!0),y):(y.face=h,y.weight=l,y.style=d,y.decoration=u,y.size=o,f&&(y.box=!0),y)},o=function(t,e,r){return 0===e.length?'Directive "'+t+'" requires a font as a parameter.':(i[t]=c(e,i[t],r,0,t),i.is_in_header&&(n.formatting[t]=i[t]),null)},h=function(t,e){var i="";r.each(e,function(t){i+=t.token});var s=parseFloat(i);if(isNaN(s)||0===s)return'Directive "'+t+'" requires a number as a parameter.';n.formatting.scale=s},l=function(t,e,r,s,n){if(1!==r.length||"number"!==r[0].type)return'Directive "'+e+'" requires a number as a parameter.';var a=r[0].intt;return void 0!==s&&an?'Directive "'+e+'" requires a number less than or equal to '+n+" as a parameter.":(i[t]=a,null)},d=function(t,e,r){var s=l(t,e,r,0,1);return null!==s?s:(i[t]=1===i[t],null)},u=function(t,e,r,s){if(1!==r.length)return'Directive "'+e+'" requires one of [ '+s.join(", ")+" ] as a parameter.";for(var n=r[0].token,a=!1,c=0;!a&&c1&&i.setfont){for(var r=[{text:e[0]}],s=1;s1)return r}return t};var A=["auto","above","below","hidden"];s.addDirective=function(a){var T=t.tokenize(a,0,a.length);if(0===T.length||"alpha"!==T[0].type)return null;var S=a.substring(a.indexOf(T[0].token)+T[0].token.length);S=t.stripComment(S);var N=T.shift().token.toLowerCase(),C="";switch(N){case"bagpipes":n.formatting.bagpipes=!0;break;case"flatbeams":n.formatting.flatbeams=!0;break;case"landscape":i.landscape=!0;break;case"papersize":i.papersize=S;break;case"slurgraces":n.formatting.slurgraces=!0;break;case"stretchlast":n.formatting.stretchlast=!0;break;case"titlecaps":i.titlecaps=!0;break;case"titleleft":n.formatting.titleleft=!0;break;case"measurebox":n.formatting.measurebox=!0;break;case"vocal":return u("vocalPosition",N,T,A);case"dynamic":return u("dynamicPosition",N,T,A);case"gchord":return u("chordPosition",N,T,A);case"ornament":return u("ornamentPosition",N,T,A);case"volume":return u("volumePosition",N,T,A);case"botmargin":case"botspace":case"composerspace":case"indent":case"leftmargin":case"linesep":case"musicspace":case"partsspace":case"pageheight":case"pagewidth":case"rightmargin":case"staffsep":case"staffwidth":case"subtitlespace":case"sysstaffsep":case"systemsep":case"textspace":case"titlespace":case"topmargin":case"topspace":case"vocalspace":case"wordsspace":return function(e,i){var r=t.getMeasurement(i);return 0===r.used||0!==i.length?'Directive "'+e+'" requires a measurement as a parameter.':(n.formatting[e]=r.value,null)}(N,T);case"voicescale":if(1!==T.length||"number"!==T[0].type)return"voicescale requires one float as a parameter";var _=T.shift();return i.currentVoice&&(i.currentVoice.scale=_.floatt,n.changeVoiceScale(i.currentVoice.scale)),null;case"vskip":var E=function(e,i){var r=t.getMeasurement(i);return 0===r.used||0!==i.length?{error:'Directive "'+e+'" requires a measurement as a parameter.'}:r.value}(N,T);return E.error?E.error:(n.addSpacing(E),null);case"scale":h(N,T);break;case"sep":if(0===T.length)n.addSeparator();else{var M=t.getMeasurement(T);if(0===M.used)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var B=M.value;if(0===(M=t.getMeasurement(T)).used)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var P=M.value;if(0===(M=t.getMeasurement(T)).used||0!==T.length)return'Directive "'+N+'" requires 3 numbers: space above, space below, length of line';var L=M.value;n.addSeparator(B,P,L)}break;case"barsperstaff":if(null!==(C=l("barsperstaff",N,T)))return C;break;case"staffnonote":if(1!==T.length)return"Directive staffnonote requires one parameter: 0 or 1";if("0"===T[0].token)i.staffnonote=!0;else{if("1"!==T[0].token)return"Directive staffnonote requires one parameter: 0 or 1 (received "+T[0].token+")";i.staffnonote=!1}break;case"printtempo":if(null!==(C=d("printTempo",N,T)))return C;break;case"partsbox":if(null!==(C=d("partsBox",N,T)))return C;i.partsfont.box=i.partsBox;break;case"measurenb":case"barnumbers":if(null!==(C=l("barNumbers",N,T)))return C;break;case"begintext":i.inTextBlock=!0;break;case"continueall":i.continueall=!0;break;case"beginps":i.inPsBlock=!0,e("Postscript ignored",a,0);break;case"deco":S.length>0&&i.ignoredDecorations.push(S.substring(0,S.indexOf(" "))),e("Decoration redefinition ignored",a,0);break;case"text":var H=t.translateString(S);n.addText(s.parseFontChangeLine(H));break;case"center":var z=t.translateString(S);n.addCentered(s.parseFontChangeLine(z));break;case"font":break;case"setfont":var I=t.tokenize(S,0,S.length);if(I.length>=4&&"-"===I[0].token&&"number"===I[1].type){var O=parseInt(I[1].token);O>=1&&O<=4&&(i.setfont||(i.setfont=[]),I.shift(),I.shift(),i.setfont[O]=c(I,i.setfont[O],a,0,"setfont"))}break;case"gchordfont":case"partsfont":case"tripletfont":case"vocalfont":case"textfont":case"annotationfont":case"historyfont":case"infofont":case"measurefont":case"repeatfont":case"wordsfont":return o(N,T,a);case"composerfont":case"subtitlefont":case"tempofont":case"titlefont":case"voicefont":case"footerfont":case"headerfont":return function(t,e,i){return 0===e.length?'Directive "'+t+'" requires a font as a parameter.':(n.formatting[t]=c(e,n.formatting[t],i,0,t),null)}(N,T,a);case"barlabelfont":case"barnumberfont":case"barnumfont":return o("measurefont",T,a);case"staves":case"score":i.score_is_present=!0;for(var D,Y=function(t,e,s,n,a){(e||0===i.staves.length)&&i.staves.push({index:i.staves.length,numVoices:0});var c=r.last(i.staves);void 0!==s&&(c.bracket=s),void 0!==n&&(c.brace=n),a&&(c.connectBarLines="end"),void 0===i.voices[t]&&(i.voices[t]={staffNum:c.index,index:c.numVoices},c.numVoices++)},F=!1,W=!1,V=!1,R=!1,G=!1,q=!1,j=!1,X=function(){if(j=!0,D){var t="start";D.staffNum>0&&("start"!==i.staves[D.staffNum-1].connectBarLines&&"continue"!==i.staves[D.staffNum-1].connectBarLines||(t="continue")),i.staves[D.staffNum].connectBarLines=t}};T.length;){var U=T.shift();switch(U.token){case"(":F?e("Can't nest parenthesis in %%score",a,U.start):(F=!0,R=!0);break;case")":!F||R?e("Unexpected close parenthesis in %%score",a,U.start):F=!1;break;case"[":W?e("Can't nest brackets in %%score",a,U.start):(W=!0,G=!0);break;case"]":!W||G?e("Unexpected close bracket in %%score",a,U.start):(W=!1,i.staves[D.staffNum].bracket="end");break;case"{":V?e("Can't nest braces in %%score",a,U.start):(V=!0,q=!0);break;case"}":!V||q?e("Unexpected close brace in %%score",a,U.start):(V=!1,i.staves[D.staffNum].brace="end");break;case"|":X();break;default:for(var K="";("alpha"===U.type||"number"===U.type)&&(K+=U.token,U.continueId);)U=T.shift();Y(K,!F||R,G?"start":W?"continue":void 0,q?"start":V?"continue":void 0,j),R=!1,G=!1,q=!1,j=!1,D=i.voices[K],"staves"===N&&X()}}break;case"newpage":var Q=t.getInt(S);n.addNewPage(0===Q.digits?-1:Q.value);break;case"abc":var Z=S.split(" ");switch(Z[0]){case"-copyright":case"-creator":case"-edited-by":case"-version":case"-charset":var $=Z.shift();n.addMetaText(N+$,Z.join(" "));break;default:return"Unknown directive: "+N+Z[0]}break;case"header":case"footer":var J=t.getMeat(S,0,S.length);'"'===(J=S.substring(J.start,J.end)).charAt(0)&&'"'===J.charAt(J.length-1)&&(J=J.substring(1,J.length-1));var tt=J.split("\t"),et={};et=1===tt.length?{left:"",center:tt[0],right:""}:2===tt.length?{left:tt[0],center:tt[1],right:""}:{left:tt[0],center:tt[1],right:tt[2]},tt.length>3&&e("Too many tabs in "+N+": "+tt.length+" found.",S,0),n.addMetaTextObj(N,et);break;case"midi":var it=t.tokenize(S,0,S.length,!0);it.length>0&&"="===it[0].token&&it.shift(),0===it.length?e("Expected midi command",S,0):function(t,i,r){var s=t.shift().token,n=[];if(f.indexOf(s)>=0)0!==t.length&&e("Unexpected parameter in MIDI "+s,r,0);else if(p.indexOf(s)>=0)1!==t.length?e("Expected one parameter in MIDI "+s,r,0):n.push(t[0].token);else if(m.indexOf(s)>=0)1!==t.length?e("Expected one parameter in MIDI "+s,r,0):"number"!==t[0].type?e("Expected one integer parameter in MIDI "+s,r,0):n.push(t[0].intt);else if(g.indexOf(s)>=0)1!==t.length&&2!==t.length?e("Expected one or two parameters in MIDI "+s,r,0):"number"!==t[0].type?e("Expected integer parameter in MIDI "+s,r,0):2===t.length&&"number"!==t[1].type?e("Expected integer parameter in MIDI "+s,r,0):(n.push(t[0].intt),2===t.length&&n.push(t[1].intt));else if(v.indexOf(s)>=0)2!==t.length?e("Expected two parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type?e("Expected two integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt));else if(w.indexOf(s)>=0)2!==t.length?e("Expected two parameters in MIDI "+s,r,0):"alpha"!==t[0].type||"number"!==t[1].type?e("Expected one string and one integer parameters in MIDI "+s,r,0):(n.push(t[0].token),n.push(t[1].intt));else if("drummap"===s)2===t.length&&"alpha"===t[0].type&&"number"===t[1].type?(i.formatting||(i.formatting={}),i.formatting.midi||(i.formatting.midi={}),i.formatting.midi.drummap||(i.formatting.midi.drummap={}),i.formatting.midi.drummap[t[0].token]=t[1].intt,n=i.formatting.midi.drummap):3===t.length&&"punct"===t[0].type&&"alpha"===t[1].type&&"number"===t[2].type?(i.formatting||(i.formatting={}),i.formatting.midi||(i.formatting.midi={}),i.formatting.midi.drummap||(i.formatting.midi.drummap={}),i.formatting.midi.drummap[t[0].token+t[1].token]=t[2].intt,n=i.formatting.midi.drummap):e("Expected one note name and one integer parameter in MIDI "+s,r,0);else if(x.indexOf(s)>=0)3!==t.length?e("Expected fraction parameter in MIDI "+s,r,0):"number"!==t[0].type||"/"!==t[1].token||"number"!==t[2].type?e("Expected fraction parameter in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[2].intt));else if(b.indexOf(s)>=0)4!==t.length?e("Expected four parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type||"number"!==t[2].type||"number"!==t[3].type?e("Expected four integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt),n.push(t[2].intt),n.push(t[3].intt));else if(y.indexOf(s)>=0)5!==t.length?e("Expected five parameters in MIDI "+s,r,0):"number"!==t[0].type||"number"!==t[1].type||"number"!==t[2].type||"number"!==t[3].type||"number"!==t[4].type?e("Expected five integer parameters in MIDI "+s,r,0):(n.push(t[0].intt),n.push(t[1].intt),n.push(t[2].intt),n.push(t[3].intt),n.push(t[4].intt));else if(g.indexOf(s)>=0)1!==t.length||4!==t.length?e("Expected one or two parameters in MIDI "+s,r,0):"number"!==t[0].type?e("Expected integer parameter in MIDI "+s,r,0):4===t.length?("octave"!==t[1].token&&e("Expected octave parameter in MIDI "+s,r,0),"="!==t[2].token&&e("Expected octave parameter in MIDI "+s,r,0),"number"!==t[3].type&&e("Expected integer parameter for octave in MIDI "+s,r,0)):(n.push(t[0].intt),4===t.length&&n.push(t[3].intt));else if(k.indexOf(s)>=0)if(t.length<2)e("Expected string parameter and at least one integer parameter in MIDI "+s,r,0);else if("alpha"!==t[0].type)e("Expected string parameter and at least one integer parameter in MIDI "+s,r,0);else{var a=t.shift();for(n.push(a.token);t.length>0;)"number"!==(a=t.shift()).type&&e("Expected integer parameter in MIDI "+s,r,0),n.push(a.intt)}i.hasBeginMusic()?i.appendElement("midi",-1,-1,{cmd:s,params:n}):(void 0===i.formatting.midi&&(i.formatting.midi={}),i.formatting.midi[s]=n)}(it,n,S);break;case"map":case"percmap":case"playtempo":case"auquality":case"continuous":case"nobarcheck":n.formatting[N]=S;break;default:return"Unknown directive: "+N}return null},s.globalFormatting=function(r){for(var s in r)if(r.hasOwnProperty(s)){var n,a=""+r[s],c=t.tokenize(a,0,a.length);switch(s){case"titlefont":case"gchordfont":case"composerfont":case"footerfont":case"headerfont":case"historyfont":case"infofont":case"measurefont":case"partsfont":case"repeatfont":case"subtitlefont":case"tempofont":case"textfont":case"voicefont":case"tripletfont":case"vocalfont":case"wordsfont":case"annotationfont":o(s,c,a);break;case"scale":h(s,c);break;case"partsbox":null!==(n=d("partsBox",s,c))&&e(n),i.partsfont.box=i.partsBox;break;default:e("Formatting directive unrecognized: ",s,0)}}}}(),t.exports=s},function(t,e,i){"use strict";var r=i(0),s=i(8),n=i(11),a={};!function(){var t,e,i,c;a.initialize=function(r,s,n,a){t=r,e=s,i=n,c=a},a.standardKey=function(t,e,r,s){var a={acc:"sharp",note:"f"},c={acc:"sharp",note:"c"},o={acc:"sharp",note:"g"},h={acc:"sharp",note:"d"},l={acc:"sharp",note:"A"},d={acc:"sharp",note:"e"},u={acc:"sharp",note:"B"},f={acc:"flat",note:"B"},p={acc:"flat",note:"e"},m={acc:"flat",note:"A"},g={acc:"flat",note:"d"},v={acc:"flat",note:"G"},b={acc:"flat",note:"c"},y={acc:"flat",note:"F"},w={"C#":[a,c,o,h,l,d,u],"A#m":[a,c,o,h,l,d,u],"G#Mix":[a,c,o,h,l,d,u],"D#Dor":[a,c,o,h,l,d,u],"E#Phr":[a,c,o,h,l,d,u],"F#Lyd":[a,c,o,h,l,d,u],"B#Loc":[a,c,o,h,l,d,u],"F#":[a,c,o,h,l,d],"D#m":[a,c,o,h,l,d],"C#Mix":[a,c,o,h,l,d],"G#Dor":[a,c,o,h,l,d],"A#Phr":[a,c,o,h,l,d],BLyd:[a,c,o,h,l,d],"E#Loc":[a,c,o,h,l,d],B:[a,c,o,h,l],"G#m":[a,c,o,h,l],"F#Mix":[a,c,o,h,l],"C#Dor":[a,c,o,h,l],"D#Phr":[a,c,o,h,l],ELyd:[a,c,o,h,l],"A#Loc":[a,c,o,h,l],E:[a,c,o,h],"C#m":[a,c,o,h],BMix:[a,c,o,h],"F#Dor":[a,c,o,h],"G#Phr":[a,c,o,h],ALyd:[a,c,o,h],"D#Loc":[a,c,o,h],A:[a,c,o],"F#m":[a,c,o],EMix:[a,c,o],BDor:[a,c,o],"C#Phr":[a,c,o],DLyd:[a,c,o],"G#Loc":[a,c,o],D:[a,c],Bm:[a,c],AMix:[a,c],EDor:[a,c],"F#Phr":[a,c],GLyd:[a,c],"C#Loc":[a,c],G:[a],Em:[a],DMix:[a],ADor:[a],BPhr:[a],CLyd:[a],"F#Loc":[a],C:[],Am:[],GMix:[],DDor:[],EPhr:[],FLyd:[],BLoc:[],F:[f],Dm:[f],CMix:[f],GDor:[f],APhr:[f],BbLyd:[f],ELoc:[f],Bb:[f,p],Gm:[f,p],FMix:[f,p],CDor:[f,p],DPhr:[f,p],EbLyd:[f,p],ALoc:[f,p],Eb:[f,p,m],Cm:[f,p,m],BbMix:[f,p,m],FDor:[f,p,m],GPhr:[f,p,m],AbLyd:[f,p,m],DLoc:[f,p,m],Ab:[f,p,m,g],Fm:[f,p,m,g],EbMix:[f,p,m,g],BbDor:[f,p,m,g],CPhr:[f,p,m,g],DbLyd:[f,p,m,g],GLoc:[f,p,m,g],Db:[f,p,m,g,v],Bbm:[f,p,m,g,v],AbMix:[f,p,m,g,v],EbDor:[f,p,m,g,v],FPhr:[f,p,m,g,v],GbLyd:[f,p,m,g,v],CLoc:[f,p,m,g,v],Gb:[f,p,m,g,v,b],Ebm:[f,p,m,g,v,b],DbMix:[f,p,m,g,v,b],AbDor:[f,p,m,g,v,b],BbPhr:[f,p,m,g,v,b],CbLyd:[f,p,m,g,v,b],FLoc:[f,p,m,g,v,b],Cb:[f,p,m,g,v,b,y],Abm:[f,p,m,g,v,b,y],GbMix:[f,p,m,g,v,b,y],DbDor:[f,p,m,g,v,b,y],EbPhr:[f,p,m,g,v,b,y],FbLyd:[f,p,m,g,v,b,y],BbLoc:[f,p,m,g,v,b,y],"A#":[f,p],"B#":[],"D#":[f,p,m],"E#":[f],"G#":[f,p,m,g],Gbm:[a,c,o,h,l,d,u]};return n.keySignature(i,w,t,e,r,s)};var o={treble:{clef:"treble",pitch:4,mid:0},"treble+8":{clef:"treble+8",pitch:4,mid:0},"treble-8":{clef:"treble-8",pitch:4,mid:0},"treble^8":{clef:"treble+8",pitch:4,mid:0},treble_8:{clef:"treble-8",pitch:4,mid:0},treble1:{clef:"treble",pitch:2,mid:2},treble2:{clef:"treble",pitch:4,mid:0},treble3:{clef:"treble",pitch:6,mid:-2},treble4:{clef:"treble",pitch:8,mid:-4},treble5:{clef:"treble",pitch:10,mid:-6},perc:{clef:"perc",pitch:6,mid:0},none:{clef:"none",mid:0},bass:{clef:"bass",pitch:8,mid:-12},"bass+8":{clef:"bass+8",pitch:8,mid:-12},"bass-8":{clef:"bass-8",pitch:8,mid:-12},"bass^8":{clef:"bass+8",pitch:8,mid:-12},bass_8:{clef:"bass-8",pitch:8,mid:-12},"bass+16":{clef:"bass",pitch:8,mid:-12},"bass-16":{clef:"bass",pitch:8,mid:-12},"bass^16":{clef:"bass",pitch:8,mid:-12},bass_16:{clef:"bass",pitch:8,mid:-12},bass1:{clef:"bass",pitch:2,mid:-6},bass2:{clef:"bass",pitch:4,mid:-8},bass3:{clef:"bass",pitch:6,mid:-10},bass4:{clef:"bass",pitch:8,mid:-12},bass5:{clef:"bass",pitch:10,mid:-14},tenor:{clef:"alto",pitch:8,mid:-8},tenor1:{clef:"alto",pitch:2,mid:-2},tenor2:{clef:"alto",pitch:4,mid:-4},tenor3:{clef:"alto",pitch:6,mid:-6},tenor4:{clef:"alto",pitch:8,mid:-8},tenor5:{clef:"alto",pitch:10,mid:-10},alto:{clef:"alto",pitch:6,mid:-6},alto1:{clef:"alto",pitch:2,mid:-2},alto2:{clef:"alto",pitch:4,mid:-4},alto3:{clef:"alto",pitch:6,mid:-6},alto4:{clef:"alto",pitch:8,mid:-8},alto5:{clef:"alto",pitch:10,mid:-10},"alto+8":{clef:"alto+8",pitch:6,mid:-6},"alto-8":{clef:"alto-8",pitch:6,mid:-6},"alto^8":{clef:"alto+8",pitch:6,mid:-6},alto_8:{clef:"alto-8",pitch:6,mid:-6}},h=function(t,e){var i=o[t];return(i?i.mid:0)+e};a.fixClef=function(t){var e=o[t.type];e&&(t.clefPos=e.pitch,t.type=e.clef)},a.deepCopyKey=function(t){var e={accidentals:[],root:t.root,acc:t.acc,mode:t.mode};return r.each(t.accidentals,function(t){e.accidentals.push(r.clone(t))}),e};var l={A:5,B:6,C:0,D:1,E:2,F:3,G:4,a:12,b:13,c:7,d:8,e:9,f:10,g:11};a.addPosToKey=function(t,e){var i=t.verticalPos;r.each(e.accidentals,function(t){var e=l[t.note];e-=i,t.verticalPos=e}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){var e=l[t.note];e-=i,t.verticalPos=e}),i<-10?(r.each(e.accidentals,function(t){t.verticalPos-=7,(t.verticalPos>=11||10===t.verticalPos&&"flat"===t.acc)&&(t.verticalPos-=7),"A"===t.note&&"sharp"===t.acc&&(t.verticalPos-=7),"G"!==t.note&&"F"!==t.note||"flat"!==t.acc||(t.verticalPos-=7)}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos-=7,(t.verticalPos>=11||10===t.verticalPos&&"flat"===t.acc)&&(t.verticalPos-=7),"A"===t.note&&"sharp"===t.acc&&(t.verticalPos-=7),"G"!==t.note&&"F"!==t.note||"flat"!==t.acc||(t.verticalPos-=7)})):i<-4?(r.each(e.accidentals,function(t){t.verticalPos-=7,-8!==i||"f"!==t.note&&"g"!==t.note||"sharp"!==t.acc||(t.verticalPos-=7)}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos-=7,-8!==i||"f"!==t.note&&"g"!==t.note||"sharp"!==t.acc||(t.verticalPos-=7)})):i>=7&&(r.each(e.accidentals,function(t){t.verticalPos+=7}),e.impliedNaturals&&r.each(e.impliedNaturals,function(t){t.verticalPos+=7}))},a.fixKey=function(t,e){var i=r.clone(e);return a.addPosToKey(t,i),i};var d=function(t){var e=0,i=t.charAt(e++);"^"!==i&&"_"!==i||(i=t.charAt(e++));var r=l[i];for(void 0===r&&(r=6);e0){c.foundKey=!0;var l="",d="";n[0].token.length>1?n[0].token=n[0].token.substring(1):n.shift();var u=o.token;if(n.length>0){var f=t.getSharpFlat(n[0].token);if(f.len>0&&(n[0].token.length>1?n[0].token=n[0].token.substring(1):n.shift(),u+=f.token,l=f.token),n.length>0){var p=t.getMode(n[0].token);p.len>0&&(n.shift(),u+=p.token,d=p.token)}if(void 0===a.standardKey(u,o.token,l,0))return e("Unsupported key signature: "+u,r,0),c}var m=a.deepCopyKey(i.key),g=i.globalTranspose?-i.globalTranspose:0;if(i.key=a.deepCopyKey(a.standardKey(u,o.token,l,g)),i.key.mode=d,m){for(var v,b=0;b0;)switch(n[0].token){case"m":case"middle":if(n.shift(),0===n.length)return e("Expected = after middle",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after middle",r,y.start);break}if(0===n.length)return e("Expected parameter after middle=",r,0),c;var S=t.getPitchFromTokens(n);S.warn&&e(S.warn,r,0),S.position&&(i.clef.verticalPos=S.position-6);break;case"transpose":if(n.shift(),0===n.length)return e("Expected = after transpose",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after transpose",r,y.start);break}if(0===n.length)return e("Expected parameter after transpose=",r,0),c;if("number"!==n[0].type){e("Expected number after transpose",r,n[0].start);break}i.clef.transpose=n[0].intt,n.shift();break;case"stafflines":if(n.shift(),0===n.length)return e("Expected = after stafflines",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after stafflines",r,y.start);break}if(0===n.length)return e("Expected parameter after stafflines=",r,0),c;if("number"!==n[0].type){e("Expected number after stafflines",r,n[0].start);break}i.clef.stafflines=n[0].intt,n.shift();break;case"staffscale":if(n.shift(),0===n.length)return e("Expected = after staffscale",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after staffscale",r,y.start);break}if(0===n.length)return e("Expected parameter after staffscale=",r,0),c;if("number"!==n[0].type){e("Expected number after staffscale",r,n[0].start);break}i.clef.staffscale=n[0].floatt,n.shift();break;case"style":if(n.shift(),0===n.length)return e("Expected = after style",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after style",r,y.start);break}if(0===n.length)return e("Expected parameter after style=",r,0),c;switch(n[0].token){case"normal":case"harmonic":case"rhythm":case"x":i.style=n[0].token,n.shift();break;default:e("error parsing style element: "+n[0].token,r,n[0].start)}break;case"clef":if(n.shift(),0===n.length)return e("Expected = after clef",r,0),c;if("="!==(y=n.shift()).token){e("Expected = after clef",r,y.start);break}if(0===n.length)return e("Expected parameter after clef=",r,0),c;case"treble":case"bass":case"alto":case"tenor":case"perc":var N=n.shift();switch(N.token){case"treble":case"tenor":case"alto":case"bass":case"perc":case"none":break;case"C":N.token="alto";break;case"F":N.token="bass";break;case"G":N.token="treble";break;case"c":N.token="alto";break;case"f":N.token="bass";break;case"g":N.token="treble";break;default:e("Expected clef name. Found "+N.token,r,N.start)}n.length>0&&"number"===n[0].type&&(N.token+=n[0].token,n.shift()),n.length>1&&("-"===n[0].token||"+"===n[0].token||"^"===n[0].token||"_"===n[0].token)&&"8"===n[1].token&&(N.token+=n[0].token+n[1].token,n.shift(),n.shift()),i.clef={type:N.token,verticalPos:h(N.token,0)},i.currentVoice&&void 0!==i.currentVoice.transpose&&(i.clef.transpose=i.currentVoice.transpose),c.foundClef=!0;break;default:e("Unknown parameter: "+n[0].token,r,n[0].start),n.shift()}return c};a.parseVoice=function(r,s,n){var a=t.getMeat(r,s,n),o=a.start,l=a.end,u=t.getToken(r,o,l);if(0!==u.length){var f=!1;void 0===i.voices[u]&&(i.voices[u]={},f=!0,i.score_is_present&&e("Can't have an unknown V: id when the %score directive is present",r,o)),o+=u.length,o+=t.eatWhiteSpace(r,o);for(var p={startStaff:f},m=function(i){var s=t.getVoiceToken(r,o,l);void 0!==s.warn?e("Expected value for "+i+" in voice: "+s.warn,r,o):0===s.token.length&&'"'!==r.charAt(o)?e("Expected value for "+i+" in voice",r,o):p[i]=s.token,o+=s.len},g=function(s,n,a){var c=t.getVoiceToken(r,o,l);void 0!==c.warn?e("Expected value for "+n+" in voice: "+c.warn,r,o):0===c.token.length&&'"'!==r.charAt(o)?e("Expected value for "+n+" in voice",r,o):("number"===a&&(c.token=parseFloat(c.token)),i.voices[s][n]=c.token),o+=c.len},v=function(i,s){var n=t.getVoiceToken(r,o,l);if(void 0!==n.warn)e("Expected value for "+i+" in voice: "+n.warn,r,o);else{if(0!==n.token.length||'"'===r.charAt(o))return"number"===s&&(n.token=parseFloat(n.token)),n.token;e("Expected value for "+i+" in voice",r,o)}o+=n.len},b=function(s,n){var a=t.getVoiceToken(r,o,l);if(void 0!==a.warn)e("Expected one of (_B, _E, _b, _e) for "+n+" in voice: "+a.warn,r,o);else if(0===a.token.length&&'"'!==r.charAt(o))e("Expected one of (_B, _E, _b, _e) for "+n+" in voice",r,o);else{var c={_B:2,_E:9,_b:-10,_e:-3}[a.token];c?i.voices[s][n]=c:e("Expected one of (_B, _E, _b, _e) for "+n+" in voice",r,o)}o+=a.len};oi.currentEvent&&i.noteTimings[i.currentEvent].milliseconds=i.lastMoment&&i.eventCallback&&i.eventCallback(null)}},i.start=function(){i.isPaused&&(i.isPaused=!1,i.justUnpaused=!0),requestAnimationFrame(i.doTiming)},i.pause=function(){i.isPaused=!0},i.reset=function(){i.currentBeat=0,i.currentEvent=0,i.startTime=null,i.pausedTime=null,i.lineEndCallback&&(i.lineEndTimings=r(i.noteTimings,i.lineEndAnticipation))},i.stop=function(){i.pause(),i.reset()})}},function(t,e,i){"use strict";var r={},s={C:0,"C#":1,Db:1,D:2,"D#":3,Eb:3,E:4,F:5,"F#":6,Gb:6,G:7,"G#":8,Ab:8,A:9,"A#":10,Bb:10,B:11},n=["C","Db","D","Eb","E","F","F#","G","Ab","A","Bb","B"],a=["C","C#","D","D#","E","F","F#","G","G#","A","Bb","B"];r.keySignature=function(t,e,i,r,c,o){o||(o=0),t.localTransposeVerticalMovement=0,t.localTransposePreferFlats=!1;var h=e[i];if(!h)return t.key;if(t.localTranspose=(t.globalTranspose?t.globalTranspose:0)+o,!t.localTranspose)return{accidentals:h,root:r,acc:c};if(t.globalTransposeOrigKeySig=h,t.localTranspose%12==0)return t.localTransposeVerticalMovement=t.localTranspose/12*7,{accidentals:h,root:r,acc:c};var l=i[0];"b"===i[1]||"#"===i[1]?(l+=i[1],i=i.substr(2)):i=i.substr(1);for(var d=s[l]+t.localTranspose;d<0;)d+=12;d>11&&(d%=12);var u="m"===i[0]?a[d]:n[d],f=u+i,p=e[f];p.length>0&&"flat"===p[0].acc&&(t.localTransposePreferFlats=!0);var m=f.charCodeAt(0)-l.charCodeAt(0);return t.localTranspose>0?m<0?m+=7:0===m&&("#"!==l[1]&&"b"!==f[1]||(m+=7)):t.localTranspose<0&&(m>0?m-=7:0===m&&("b"!==l[1]&&"#"!==f[1]||(m-=7))),t.localTranspose>0?t.localTransposeVerticalMovement=m+7*Math.floor(t.localTranspose/12):t.localTransposeVerticalMovement=m+7*Math.ceil(t.localTranspose/12),{accidentals:p,root:u[0],acc:u.length>1?u[1]:""}};var c=["C","C♯","D","D♯","E","F","F♯","G","G♯","A","A♯","B"],o=["C","D♭","D","E♭","E","F","G♭","G","A♭","A","B♭","B"];r.chordName=function(t,e){if(t.localTranspose&&t.localTranspose%12!=0){for(var i=t.localTranspose;i<0;)i+=12;i>11&&(i%=12);for(var r=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=(e=e.replace(/C♭/g,"`~11`")).replace(/D♭/g,"`~1`")).replace(/E♭/g,"`~3`")).replace(/F♭/g,"`~4`")).replace(/G♭/g,"`~6`")).replace(/A♭/g,"`~8`")).replace(/B♭/g,"`~10`")).replace(/C♯/g,"`~1`")).replace(/D♯/g,"`~3`")).replace(/E♯/g,"`~5`")).replace(/F♯/g,"`~6`")).replace(/G♯/g,"`~8`")).replace(/A♯/g,"`~10`")).replace(/B♯/g,"`~0`")).replace(/C/g,"`~0`")).replace(/D/g,"`~2`")).replace(/E/g,"`~4`")).replace(/F/g,"`~5`")).replace(/G/g,"`~7`")).replace(/A/g,"`~9`")).replace(/B/g,"`~11`")).split("`"),s=0;s11&&(n-=12),r[s]=t.localTransposePreferFlats?o[n]:c[n]}e=r.join("")}return e};var h=["c","d","e","f","g","a","b"];var l={dblflat:-2,flat:-1,natural:0,sharp:1,dblsharp:2},d={"-2":"dblflat","-1":"flat",0:"natural",1:"sharp",2:"dblsharp"};r.note=function(t,e){if(t.localTranspose){var i=e.pitch;if(e.pitch=e.pitch+t.localTransposeVerticalMovement,e.accidental){var r=function(t,e,i,r,s){for(var n=h[(t+49)%7],a=0,c=0;c2&&(e++,p-="b"===d||"e"===d?1:2),[e,p]}(i,e.pitch,e.accidental,t.globalTransposeOrigKeySig,t.targetKey);e.pitch=r[0],e.accidental=d[r[1]]}}},t.exports=r},function(t,e,i){"use strict";function r(t,e){for(var i=e.length+1,r=t.total/i,n=0,a=0,c=0;c<=e.length;c++){var o=c===e.length?t.measureWidths.length-1:e[c],h=s(t.measureWidths,a,o,r);a=o+1,n=Math.max(n,h)}return n}function s(t,e,i,r){var s=function(t,e,i){for(var r=0,s=e;s<=i;s++)r+=t[s];return r}(t,e,i);return Math.abs(r-s)}function n(t,e,i,n){var a=t.total/(i.length+1),c=r(t,i);if(0===i.length)return{failed:!0,reason:"Only one line."};var o=i[i.length-1]+1;if(c>s(t.measureWidths,o,t.measureWidths.length,a))return{failed:!0,reason:"Last line is not too short."};for(var h=function(t,e,i,r){for(var s=0,n=[],a=t.length-1;a>=0&&!((s+=t[a])>r);a--)s>i&&an);h++)if(c>s){if(r>0&&o.length<1200)for(var l=t(e,h+1,r-1,s,n,a),d=0;d=0&&o.push([h])}return o}(t.measureWidths,0,i.length,a-c,a+c,h),d=!0,u=0;u0)){var p=[].concat(i);p[p.length-1]--,f=r(t,p),n.attempts.push({type:"Optimize last try",lineBreaks:l[u],variance:Math.round(c),newVariance:Math.round(f),totalAttempts:l.length}),fe&&(a=!0),c!==t.length-1&&r.push(c),s.push(Math.round(n)),n=0);return{failed:a,totals:s,lineBreaks:r}}(e.measureWidths,f,u);g.attempts.push({type:"Fixed Measures Per Line",preferredMeasuresPerLine:u,lineBreaks:b.lineBreaks,failed:b.failed,totals:b.totals}),b.failed||(v=b.lineBreaks)}if(!v){var y=function(t,e){for(var i=[],r=[],s=0,n=0;n0?(i.push(n-1),r.push(Math.round(s-a)),s=a):ne.total&&(w=e.total*d*o+e.left,g.attempts.push({type:"too sparse",newWidth:Math.round(w)}),A=!1),A||(x=a(v,w,i,r,s)),x.explanation=g,x}}},function(t,e,i){"use strict";var r=i(1),s=i(23),n=i(37),a=function(t,e){e=e||{},this.responsive=e.responsive,this.space=3*r.SPACE,this.scale=e.scale?parseFloat(e.scale):0,this.scale>.1||(this.scale=void 0),e.staffwidth?(this.staffwidthScreen=e.staffwidth,this.staffwidthPrint=e.staffwidth):(this.staffwidthScreen=740,this.staffwidthPrint=680),this.editable=e.editable||!1,this.listeners=[],e.clickListener&&this.addSelectListener(e.clickListener),this.renderer=new n(t,e.regression,e.add_classes),this.renderer.setPaddingOverride(e),this.renderer.controller=this,this.reset()};function c(t,e,i,r,s,n,a){return t&&r/i<.66&&!e?null:Math.abs(i-r)<2?null:n>0?((s=(i-(r-n*s))/n)*a>50&&(s=50/a),s):null}a.prototype.reset=function(){this.selected=[],this.ingroup=!1,this.staffgroups=[],this.lastStaffGroupIndex=-1,this.engraver&&this.engraver.reset(),this.engraver=null,this.renderer.reset()},a.prototype.engraveABC=function(t,e){void 0===t[0]&&(t=[t]),this.reset();for(var i=0;i0)for(var o=c.staffGroup.voices[0],h=!1,l=0,d=0;dc&&(c=r.staffGroup.w));for(i=0;i-1&&this.renderer.addStaffPadding(this.staffgroups[this.lastStaffGroupIndex],t),this.renderer.voiceNumber=null,t.draw(this.renderer);var e=t.height*r.STEP;this.staffgroups[this.staffgroups.length]=t,this.lastStaffGroupIndex=this.staffgroups.length-1,this.renderer.y+=e},a.prototype.notifySelect=function(t,e,i){this.clearSelection(),t.highlight&&(this.selected=[t],t.highlight());for(var r=t.abcelem||{},s=0;sc&&t0&&(i.default_length=a/c,i.havent_set_length=!1)}else 1===n.length&&"1"===n[0]&&(i.default_length=1,i.havent_set_length=!1)};var c={larghissimo:20,adagissimo:24,sostenuto:28,grave:32,largo:40,lento:50,larghetto:60,adagio:68,adagietto:74,andante:80,andantino:88,"marcia moderato":84,"andante moderato":100,moderato:112,allegretto:116,"allegro moderato":120,allegro:126,animato:132,agitato:140,veloce:148,"mosso vivo":156,vivace:164,vivacissimo:172,allegrissimo:176,presto:184,prestissimo:210};this.setTempo=function(r,s,n){try{var a=t.tokenize(r,s,n);if(0===a.length)throw"Missing parameter in Q: field";var o={},h=!0,l=a.shift();if("quote"===l.type&&(o.preString=l.token,l=a.shift(),0===a.length))return c[o.preString.toLowerCase()]&&(o.bpm=c[o.preString.toLowerCase()],o.suppressBpm=!0),{type:"immediate",tempo:o};if("alpha"===l.type&&"C"===l.token){if(0===a.length)throw"Missing tempo after C in Q: field";if("punct"===(l=a.shift()).type&&"="===l.token){if(0===a.length)throw"Missing tempo after = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected number after = in Q: field";o.duration=[1],o.bpm=parseInt(l.token)}else{if("number"!==l.type)throw"Expected number or equal after C in Q: field";if(o.duration=[parseInt(l.token)],0===a.length)throw"Missing = after duration in Q: field";if("punct"!==(l=a.shift()).type||"="!==l.token)throw"Expected = after duration in Q: field";if(0===a.length)throw"Missing tempo after = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected number after = in Q: field";o.bpm=parseInt(l.token)}}else{if("number"!==l.type)throw"Unknown value in Q: field";var d=parseInt(l.token);if(0===a.length||"quote"===a[0].type)o.duration=[1],o.bpm=d;else{if(h=!1,"punct"!==(l=a.shift()).type&&"/"!==l.token)throw"Expected fraction in Q: field";if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";var u=parseInt(l.token);for(o.duration=[d/u];a.length>0&&"="!==a[0].token&&"quote"!==a[0].type;){if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";if(d=parseInt(l.token),"punct"!==(l=a.shift()).type&&"/"!==l.token)throw"Expected fraction in Q: field";if("number"!==(l=a.shift()).type)throw"Expected fraction in Q: field";u=parseInt(l.token),o.duration.push(d/u)}if("punct"!==(l=a.shift()).type&&"="!==l.token)throw"Expected = in Q: field";if("number"!==(l=a.shift()).type)throw"Expected tempo in Q: field";o.bpm=parseInt(l.token)}}if(0!==a.length&&("quote"===(l=a.shift()).type&&(o.postString=l.token,l=a.shift()),0!==a.length))throw"Unexpected string at end of Q: field";return!1===i.printTempo&&(o.suppress=!0),{type:h?"delaySet":"immediate",tempo:o}}catch(t){return e(t,r,s),{type:"none"}}},this.letter_to_inline_header=function(r,c){var o=t.eatWhiteSpace(r,c);if(c+=o,r.length>=c+5&&"["===r.charAt(c)&&":"===r.charAt(c+2)){var h=r.indexOf("]",c),l=i.iChar+c,d=i.iChar+h+1;switch(r.substring(c,c+3)){case"[I:":var u=s.addDirective(r.substring(c+3,h));return u&&e(u,r,c),[h-c+1+o];case"[M:":var f=this.setMeter(r.substring(c+3,h));return a.hasBeginMusic()&&f?a.appendStartingElement("meter",l,d,f):i.meter=f,[h-c+1+o];case"[K:":var p=n.parseKey(r.substring(c+3,h));return p.foundClef&&a.hasBeginMusic()&&a.appendStartingElement("clef",l,d,i.clef),p.foundKey&&a.hasBeginMusic()&&a.appendStartingElement("key",l,d,n.fixKey(i.clef,i.key)),[h-c+1+o];case"[P:":return a.lines.length<=a.lineNum?i.partForNextLine={title:r.substring(c+3,h),startChar:l,endChar:d}:a.appendElement("part",l,d,{title:r.substring(c+3,h)}),[h-c+1+o];case"[L:":return this.setDefaultLength(r,c+3,h),[h-c+1+o];case"[Q:":if(h>0){var m=this.setTempo(r,c+3,h);return"delaySet"===m.type?a.appendElement("tempo",l,d,this.calcTempo(m.tempo)):"immediate"===m.type&&a.appendElement("tempo",l,d,m.tempo),[h-c+1+o,r.charAt(c+1),r.substring(c+3,h)]}break;case"[V:":if(h>0)return n.parseVoice(r,c+3,h),[h-c+1+o,r.charAt(c+1),r.substring(c+3,h)]}}return[0]},this.letter_to_body_header=function(t,c){if(t.length>=c+3)switch(t.substring(c,c+2)){case"I:":var o=s.addDirective(t.substring(c+2));return o&&e(o,t,c),[t.length];case"M:":var h=this.setMeter(t.substring(c+2));return a.hasBeginMusic()&&h&&a.appendStartingElement("meter",i.iChar+c,i.iChar+t.length,h),[t.length];case"K:":var l=n.parseKey(t.substring(c+2));return l.foundClef&&a.hasBeginMusic()&&a.appendStartingElement("clef",i.iChar+c,i.iChar+t.length,i.clef),l.foundKey&&a.hasBeginMusic()&&a.appendStartingElement("key",i.iChar+c,i.iChar+t.length,n.fixKey(i.clef,i.key)),[t.length];case"P:":return a.hasBeginMusic()&&a.appendElement("part",i.iChar+c,i.iChar+t.length,{title:t.substring(c+2)}),[t.length];case"L:":return this.setDefaultLength(t,c+2,t.length),[t.length];case"Q:":var d=t.indexOf("",c+2);-1===d&&(d=t.length);var u=this.setTempo(t,c+2,d);return"delaySet"===u.type?a.appendElement("tempo",i.iChar+c,i.iChar+t.length,this.calcTempo(u.tempo)):"immediate"===u.type&&a.appendElement("tempo",i.iChar+c,i.iChar+t.length,u.tempo),[d,t.charAt(c),r.strip(t.substring(c+2))];case"V:":return n.parseVoice(t,c+2,t.length),[t.length,t.charAt(c),r.strip(t.substring(c+2))]}return[0]};var o={A:"author",B:"book",C:"composer",D:"discography",F:"url",G:"group",I:"instruction",N:"notes",O:"origin",R:"rhythm",S:"source",W:"unalignedWords",Z:"transcription"};this.parseHeader=function(c){if(r.startsWith(c,"%%")){var h=s.addDirective(c.substring(2));return h&&e(h,c,2),{}}var l=c.indexOf("%");if(l>=0&&(c=c.substring(0,l)),0===(c=c.replace(/\s+$/,"")).length)return{};if(c.length>=2&&":"===c.charAt(1)){var d="";c.indexOf("")>=0&&"w"!==c.charAt(0)&&(d=c.substring(c.indexOf("")+1),c=c.substring(0,c.indexOf("")));var u=o[c.charAt(0)];if(void 0!==u)return"unalignedWords"===u?a.addMetaTextArray(u,s.parseFontChangeLine(t.translateString(t.stripComment(c.substring(2))))):a.addMetaText(u,t.translateString(t.stripComment(c.substring(2)))),{};var f=i.iChar,p=f+c.length;switch(c.charAt(0)){case"H":a.addMetaText("history",t.translateString(t.stripComment(c.substring(2)))),i.is_in_history=!0;break;case"K":this.resolveTempo();var m=n.parseKey(c.substring(2));!i.is_in_header&&a.hasBeginMusic()&&(m.foundClef&&a.appendStartingElement("clef",f,p,i.clef),m.foundKey&&a.appendStartingElement("key",f,p,n.fixKey(i.clef,i.key))),i.is_in_header=!1;break;case"L":this.setDefaultLength(c,2,c.length);break;case"M":i.origMeter=i.meter=this.setMeter(c.substring(2));break;case"P":i.is_in_header?a.addMetaText("partOrder",t.translateString(t.stripComment(c.substring(2)))):i.partForNextLine={title:t.translateString(t.stripComment(c.substring(2))),startChar:f,endChar:p};break;case"Q":var g=this.setTempo(c,2,c.length);"delaySet"===g.type?i.tempo=g.tempo:"immediate"===g.type&&(a.metaText.tempo=g.tempo);break;case"T":this.setTitle(c.substring(2));break;case"U":this.addUserDefinition(c,2,c.length);break;case"V":if(n.parseVoice(c,2,c.length),!i.is_in_header)return{newline:!0};break;case"s":return{symbols:!0};case"w":return{words:!0};case"X":break;case"E":case"m":e("Ignored header",c,0);break;default:return d.length&&(d=""+d),{regular:!0,str:c+d}}return d.length>0?{recurse:!0,str:d}:{}}return{regular:!0,str:c}}}},function(t,e,i){"use strict";var r=i(0);t.exports=function(){this.skipWhiteSpace=function(t){for(var e=0;e=t.length};this.eatWhiteSpace=function(t,e){for(var i=e;i="a"&&t.charAt(e)<="z"||t.charAt(e)>="A"&&t.charAt(e)<="Z");)e++;return e},r=this.skipWhiteSpace(e);if(t(e,r))return{len:0};var s=e.substring(r,r+3).toLowerCase();switch((s.length>1&&" "===s.charAt(1)||"^"===s.charAt(1)||"_"===s.charAt(1)||"="===s.charAt(1))&&(s=s.charAt(0)),s){case"mix":return{len:i(e,r),token:"Mix"};case"dor":return{len:i(e,r),token:"Dor"};case"phr":return{len:i(e,r),token:"Phr"};case"lyd":return{len:i(e,r),token:"Lyd"};case"loc":return{len:i(e,r),token:"Loc"};case"aeo":return{len:i(e,r),token:"m"};case"maj":case"ion":return{len:i(e,r),token:""};case"min":case"m":return{len:i(e,r),token:"m"}}return{len:0}},this.getClef=function(e,i){var s=e,n=this.skipWhiteSpace(e);if(t(e,n))return{len:0};var a=!1,c=e.substring(n);if(r.startsWith(c,"clef=")&&(a=!0,c=c.substring(5),n+=5),0===c.length&&a)return{len:n+5,warn:"No clef specified: "+s};var o=this.skipWhiteSpace(c);if(t(c,o))return{len:0};o>0&&(n+=o,c=c.substring(o));var h=null;if(r.startsWith(c,"treble"))h="treble";else if(r.startsWith(c,"bass3"))h="bass3";else if(r.startsWith(c,"bass"))h="bass";else if(r.startsWith(c,"tenor"))h="tenor";else if(r.startsWith(c,"alto2"))h="alto2";else if(r.startsWith(c,"alto1"))h="alto1";else if(r.startsWith(c,"alto"))h="alto";else if(!i&&a&&r.startsWith(c,"none"))h="none";else if(r.startsWith(c,"perc"))h="perc";else if(!i&&a&&r.startsWith(c,"C"))h="tenor";else if(!i&&a&&r.startsWith(c,"F"))h="bass";else{if(i||!a||!r.startsWith(c,"G"))return{len:n+5,warn:"Unknown clef specified: "+s};h="treble"}return c=c.substring(h.length),(o=this.isMatch(c,"+8"))>0?h+="+8":(o=this.isMatch(c,"-8"))>0&&(h+="-8"),{len:n+h.length,token:h,explicit:a}},this.getBarLine=function(t,e){switch(t.charAt(e)){case"]":switch(++e,t.charAt(e)){case"|":return{len:2,token:"bar_thick_thin"};case"[":return++e,t.charAt(e)>="1"&&t.charAt(e)<="9"||'"'===t.charAt(e)?{len:2,token:"bar_invisible"}:{len:1,warn:"Unknown bar symbol"};default:return{len:1,token:"bar_invisible"}}break;case":":switch(++e,t.charAt(e)){case":":return{len:2,token:"bar_dbl_repeat"};case"|":switch(++e,t.charAt(e)){case"]":switch(++e,t.charAt(e)){case"|":return++e,":"===t.charAt(e)?{len:5,token:"bar_dbl_repeat"}:{len:3,token:"bar_right_repeat"};default:return{len:3,token:"bar_right_repeat"}}break;case"|":return++e,":"===t.charAt(e)?{len:4,token:"bar_dbl_repeat"}:{len:3,token:"bar_right_repeat"};default:return{len:2,token:"bar_right_repeat"}}break;default:return{len:1,warn:"Unknown bar symbol"}}break;case"[":if(++e,"|"!==t.charAt(e))return t.charAt(e)>="1"&&t.charAt(e)<="9"||'"'===t.charAt(e)?{len:1,token:"bar_invisible"}:{len:0};switch(++e,t.charAt(e)){case":":return{len:3,token:"bar_left_repeat"};case"]":return{len:3,token:"bar_invisible"};default:return{len:2,token:"bar_thick_thin"}}break;case"|":switch(++e,t.charAt(e)){case"]":return{len:2,token:"bar_thin_thick"};case"|":return++e,":"===t.charAt(e)?{len:3,token:"bar_left_repeat"}:{len:2,token:"bar_thin_thin"};case":":for(var i=0;":"===t.charAt(e+i);)i++;return{len:1+i,token:"bar_left_repeat"};default:return{len:1,token:"bar_thin"}}}return{len:0}},this.getTokenOf=function(t,e){for(var i=0;i0;){var i;if("^"===t[0].token){if(i="sharp",t.shift(),0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token){case"^":i="dblsharp",t.shift();break;case"/":i="quartersharp",t.shift()}}else if("="===t[0].token)i="natural",t.shift();else{if("_"!==t[0].token)return{accs:e};if(i="flat",t.shift(),0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token){case"_":i="dblflat",t.shift();break;case"/":i="quarterflat",t.shift()}}if(0===t.length)return{accs:e,warn:"Expected note name after "+i};switch(t[0].token.charAt(0)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":void 0===e&&(e=[]),e.push({acc:i,note:t[0].token.charAt(0)}),1===t[0].token.length?t.shift():t[0].token=t[0].token.substring(1);break;default:return{accs:e,warn:"Expected note name after "+i+" Found: "+t[0].token}}}return{accs:e}},this.getKeyAccidental=function(e){var i={"^":"sharp","^^":"dblsharp","=":"natural",_:"flat",__:"dblflat","_/":"quarterflat","^/":"quartersharp"},r=this.skipWhiteSpace(e);if(t(e,r))return{len:0};var s=null;switch(e.charAt(r)){case"^":case"_":case"=":s=e.charAt(r);break;default:return{len:0}}if(t(e,++r))return{len:1,warn:"Expected note name after accidental"};switch(e.charAt(r)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":return{len:r+1,token:{acc:i[s],note:e.charAt(r)}};case"^":case"_":case"/":if(s+=e.charAt(r),t(e,++r))return{len:2,warn:"Expected note name after accidental"};switch(e.charAt(r)){case"a":case"b":case"c":case"d":case"e":case"f":case"g":case"A":case"B":case"C":case"D":case"E":case"F":case"G":return{len:r+1,token:{acc:i[s],note:e.charAt(r)}};default:return{len:2,warn:"Expected note name after accidental"}}break;default:return{len:1,warn:"Expected note name after accidental"}}},this.isWhiteSpace=function(t){return" "===t||"\t"===t||""===t},this.getMeat=function(t,e,i){var r=t.indexOf("%",e);for(r>=0&&r="A"&&t<="Z"||t>="a"&&t<="z"},i=function(t){return t>="0"&&t<="9"};this.tokenize=function(t,r,s,n){var a=this.getMeat(t,r,s);r=a.start,s=a.end;for(var c,o=[];r=i?{len:1,err:"Missing close quote"}:{len:s-e+1,token:this.translateString(t.substring(r+1,s))}}for(var n=r;n=0?r.strip(t.substring(0,e)):r.strip(t)},this.getInt=function(t){var e=parseInt(t);if(isNaN(e))return{digits:0};var i=""+e;return{value:e,digits:t.indexOf(i)+i.length}},this.getFloat=function(t){var e=parseFloat(t);if(isNaN(e))return{digits:0};var i=""+e;return{value:e,digits:t.indexOf(i)+i.length}},this.getMeasurement=function(t){if(0===t.length)return{used:0};var e=1,i="";if("-"===t[0].token)t.shift(),i="-",e++;else if("number"!==t[0].type)return{used:0};if(i+=t.shift().token,0===t.length)return{used:1,value:parseInt(i)};var r=t.shift();if("."===r.token){if(e++,0===t.length)return{used:e,value:parseInt(i)};if("number"===t[0].type&&(i=i+"."+(r=t.shift()).token,e++,0===t.length))return{used:e,value:parseFloat(i)};r=t.shift()}switch(r.token){case"pt":return{used:e+1,value:parseFloat(i)};case"cm":return{used:e+1,value:parseFloat(i)/2.54*72};case"in":return{used:e+1,value:72*parseFloat(i)};default:return t.unshift(r),{used:e,value:parseFloat(i)}}return{used:0}};var c=function(t){for(;-1!==t.indexOf("\\n");)t=t.replace("\\n","\n");return t};this.getBrackettedSubstring=function(t,e,i,r){for(var s=r||t.charAt(e),n=e+1;nt.length-1&&(n=t.length-1),[n-e+1,c(t.substring(e+1,n)),!1])}}},function(t,e,i){"use strict";var r=i(0),s=i(9),n=i(1);t.exports=function(){this.getBeatLength=function(){for(var t=0;t0){var r=parseInt(i.value[0].num,10),s=parseInt(i.value[0].den,10);return 3===r&&8===s?3/8:6===r&&8===s?3/8:9===r&&8===s?3/8:12===r&&8===s?3/8:1/s}return.25}return"cut_time"===i.type?.5:.25}return.25},this.getPickupLength=function(){for(var t=0,e=this.getBarLength(),i=0;i=e&&(t-=e),"bar"===n[c].el_type)return t}return t},this.getBarLength=function(){var t=this.getMeterFraction();return t.num/t.den},this.millisecondsPerMeasure=function(t){var e,i;if(t)e=t;else{var r=this.metaText?this.metaText.tempo:null;e=this.getBpm(r)}e<=0&&(e=1);var s=this.getMeterFraction();return(i=8===s.den?s.num/3:s.num)<=0&&(i=1),i/e*6e4},this.reset=function(){this.version="1.0.1",this.media="screen",this.metaText={},this.formatting={},this.lines=[],this.staffNum=0,this.voiceNum=0,this.lineNum=0},this.resolveOverlays=function(){for(var t=!1,e=0;e=0;p--){var m=f.snip[p];s.voices[a].splice(m.start,m.len)}}}}}return t},this.cleanUp=function(t,e,i,n,a){this.closeLine(),this.metaText.tempo&&this.metaText.tempo.bpm&&!this.metaText.tempo.duration&&(this.metaText.tempo.duration=[this.getBeatLength()]);var c,o,h,l=!1;for(c=0;c=e&&ae;){if(t[e].staff)return t[e];e++}return null}for(this.lineNum=0;this.lineNum0&&b[b.length-1].barNumber){var w=g(this.lines,this.lineNum);w&&(w.staff[0].barNumber=b[b.length-1].barNumber),delete b[b.length-1].barNumber}}}return this.formatting.pagewidth||(this.formatting.pagewidth=t),this.formatting.pageheight||(this.formatting.pageheight=e),delete this.staffNum,delete this.voiceNum,delete this.lineNum,delete this.potentialStartBeam,delete this.potentialEndBeam,delete this.vskipPending,a},this.reset(),this.getLastNote=function(){if(this.lines[this.lineNum]&&this.lines[this.lineNum].staff&&this.lines[this.lineNum].staff[this.staffNum]&&this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum])for(var t=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum].length-1;t>=0;t--){var e=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum][t];if("note"===e.el_type)return e}return null},this.addTieToLastNote=function(){var t=this.getLastNote();return!!(t&&t.pitches&&t.pitches.length>0)&&(t.pitches[0].startTie={},!0)},this.getDuration=function(t){return t.duration?t.duration:0},this.closeLine=function(){this.potentialStartBeam&&this.potentialEndBeam&&(this.potentialStartBeam.startBeam=!0,this.potentialEndBeam.endBeam=!0),delete this.potentialStartBeam,delete this.potentialEndBeam},this.appendElement=function(t,e,i,s){var n=this;s.el_type=t,null!==e&&(s.startChar=e),null!==i&&(s.endChar=i);var a=function(){void 0!==n.potentialStartBeam&&void 0!==n.potentialEndBeam&&(n.potentialStartBeam.startBeam=!0,n.potentialEndBeam.endBeam=!0),delete n.potentialStartBeam,delete n.potentialEndBeam};"note"===t?n.getDuration(s)>=.25?a():s.force_end_beam_last&&void 0!==n.potentialStartBeam?a():s.end_beam&&void 0!==n.potentialStartBeam?void 0===s.rest?(n.potentialStartBeam.startBeam=!0,s.endBeam=!0,delete n.potentialStartBeam,delete n.potentialEndBeam):a():void 0===s.rest&&(void 0===n.potentialStartBeam?s.end_beam||(n.potentialStartBeam=s,delete n.potentialEndBeam):n.potentialEndBeam=s):a(),delete s.end_beam,delete s.force_end_beam_last,function(t){if(void 0!==t.pitches){var e=n.lines[n.lineNum].staff[n.staffNum].workingClef.verticalPos;r.each(t.pitches,function(t){t.verticalPos=t.pitch-e})}if(void 0!==t.gracenotes){var i=n.lines[n.lineNum].staff[n.staffNum].workingClef.verticalPos;r.each(t.gracenotes,function(t){t.verticalPos=t.pitch-i})}n.lines[n.lineNum].staff[n.staffNum].voices[n.voiceNum].push(t)}(s)},this.appendStartingElement=function(t,e,i,s){var n;this.closeLine(),"key"===t&&(n=s.impliedNaturals,delete s.impliedNaturals,delete s.explicitAccidentals);var a=r.clone(s);if(this.lines[this.lineNum].staff){this.lines[this.lineNum].staff.length<=this.staffNum&&(this.lines[this.lineNum].staff[this.staffNum]={},this.lines[this.lineNum].staff[this.staffNum].clef=r.clone(this.lines[this.lineNum].staff[0].clef),this.lines[this.lineNum].staff[this.staffNum].key=r.clone(this.lines[this.lineNum].staff[0].key),this.lines[this.lineNum].staff[0].meter&&(this.lines[this.lineNum].staff[this.staffNum].meter=r.clone(this.lines[this.lineNum].staff[0].meter)),this.lines[this.lineNum].staff[this.staffNum].workingClef=r.clone(this.lines[this.lineNum].staff[0].workingClef),this.lines[this.lineNum].staff[this.staffNum].voices=[[]]),"clef"===t&&(this.lines[this.lineNum].staff[this.staffNum].workingClef=a);for(var c=this.lines[this.lineNum].staff[this.staffNum].voices[this.voiceNum],o=0;o0){if(void 0!==i.voices[0]){for(var r=!1,s=0;s=0;e--)if(void 0!==this.lines[e].staff)return!1;return!0},this.getMeter=function(){for(var t=0;t0){for(var d=[],u=0;u=0;n--){var a=t[n];"bar"===a.type?(a.top=r,a.nextTop=e,e=r,a.bottom=s,a.nextBottom=i,i=s):"event"===a.type&&(r=a.top,s=a.top+a.height)}}(r=function(t){var e=[];for(var i in t)t.hasOwnProperty(i)&&e.push(t[i]);return e=e.sort(function(t,e){var i=t.milliseconds-e.milliseconds;return 0!==i?i:"bar"===t.type?-1:1})}(s)),r.push({type:"end",milliseconds:l}),r},this.getBpm=function(t){var e;if(t){e=t.bpm;var i=this.getBeatLength();e=e*(t.duration&&t.duration.length>0?t.duration[0]:i)/i}if(!e){e=180;var r=this.getMeterFraction();r&&8===r.den&&(e=120)}return e},this.setTiming=function(t,e){if(!t){var i=this.metaText?this.metaText.tempo:null;t=this.getBpm(i)}var r=this.getBeatLength(),s=t/60,n=this.getBarLength()/r*e/s;n&&(n-=this.getPickupLength()/r/s);var a=r*s;this.noteTimings=this.setupEvents(n,a)}}},function(t,e,i){"use strict";var r=i(6),s=i(13),n=i(7),a=i(12),c={};function o(){var t=window.innerWidth;for(var e in c)if(c.hasOwnProperty(e)){var i=c[e];t-=2*i.offsetLeft,i.style.width=t+"px"}}function h(t,e,i,r){i.viewportHorizontal?(t.innerHTML='
',i.scrollHorizontal?(t.style.overflowX="auto",t.style.overflowY="hidden"):t.style.overflow="hidden",c[t.id]=t,t=t.children[0]):i.viewportVertical?(t.innerHTML='
',t.style.overflowX="hidden",t.style.overflowY="auto",t=t.children[0]):t.innerHTML="";var n=new s(t,i);(n.engraveABC(e,r),e.engraver=n,i.viewportVertical||i.viewportHorizontal)&&(t.parentNode.style.width=t.style.width)}function l(t,e,i,r){function s(t){return{formatting:t.formatting,media:t.media,version:t.version,metaText:{},lines:[]}}for(var n,a=[],c=0;c0&&(a[0].invisible=!0);break;case"meter":a[0]=h(n,this.tuneNumber),this.startlimitelem=a[0],r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"clef":if(a[0]=c(n,this.tuneNumber),!a[0])return null;r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"key":var l=o(n,this.tuneNumber);l&&(a[0]=l,this.startlimitelem=a[0]),r.duplicate&&a.length>0&&(a[0].invisible=!0);break;case"stem":this.stemdir=n.direction;break;case"part":var d=new s(n,0,0,"part",this.tuneNumber),u=this.renderer.getTextSize(n.title,"partsfont","part");d.addChild(new f(n.title,0,0,void 0,{type:"part",height:u.height/p.STEP})),a[0]=d;break;case"tempo":var m=new s(n,0,0,"tempo",this.tuneNumber);m.addChild(new g(n,this.tuneNumber,S)),a[0]=m;break;case"style":"normal"===n.head?delete this.style:this.style=n.head;break;case"hint":t=!0,this.saveState();break;case"midi":break;case"scale":this.voiceScale=n.size;break;default:var v=new s(n,0,0,"unsupported",this.tuneNumber);v.addChild(new f("element type "+n.el_type,0,0,void 0,{type:"debug"})),a[0]=v}return a},r.prototype.calcBeamDir=function(t,e,i){if(this.stemdir)return this.stemdir;for(var r=new n(this.stemHeight*this.voiceScale,this.stemdir,this.flatBeams),s=0;st.pitches[i+1].pitch){e=!1;var r=t.pitches[i];t.pitches[i]=t.pitches[i+1],t.pitches[i+1]=r}}while(!e)},A=function(t,e,i,r,s,n,a,c,o){for(var h=i;h>11;h--)h%2!=0||r||t.addChild(new f(null,c,(s+4)*o,h,{type:"ledger"}));for(h=e;h<1;h++)h%2!=0||r||t.addChild(new f(null,c,(s+4)*o,h,{type:"ledger"}));for(h=0;h1&&(d=new n(.7*c,"grace",o),t&&d.setHint(),d.mainNote=s);var p,m=[];for(p=i.gracenotes.length-1;p>=0;p--)h+=10,m[p]=h,i.gracenotes[p].accidental&&(h+=7);for(p=0;p=6?"down":"up";for(s&&(A=s),(n=i.style?i.style:n)&&"normal"!==n||(n="note"),(m=a?e[n].nostem:e[n][-c])||console.log("noteSymbol:",n,c,a),g="down"===A?i.pitches.length-2:1;"down"===A?g>=0:g11||C.verticalPos<1)&&w.push(C.verticalPos-C.verticalPos%2),"down"===A?b=u.getSymbolWidth(m)+2:v=u.getSymbolWidth(m)+2)}var E=i.pitches.length;for(g=0;g0&&(l.bottom=l.bottom-1),t.addHead(l)),b+=L.accidentalshiftx,y=Math.max(y,L.dotshiftx)}if(P){var H=7*this.voiceScale,z="down"===A?i.minpitch-H:i.minpitch+1/3;z>6&&!s&&(z=6);var I="down"===A?i.maxpitch-1/3:i.maxpitch+H;I<6&&!s&&(I=6);var O="down"===A||0===t.heads.length?0:t.heads[0].w,D="down"===A?1:-1;"noteheads.slash.quarter"===l.c&&("down"===A?I-=1:z+=1),t.addExtra(new f(null,O,0,z,{type:"stem",pitch2:I,linewidth:D})),d=Math.min(z,I)}return{noteHead:l,roomTaken:b,roomTakenRight:y,min:d,additionalLedgers:w,dir:A,symbolWidth:k}},r.prototype.addLyric=function(t,e){var i="";w.each(e.lyric,function(t){var e=" "===t.divider?"":t.divider;i+=t.syllable+e+"\n"});var r=this.renderer.getTextSize(i,"vocalfont","lyric"),s=e.positioning?e.positioning.vocalPosition:"below";t.addCentered(new f(i,0,r.width,void 0,{type:"lyric",position:s,height:r.height/p.STEP}))},r.prototype.addChord=function(t,e,i,r){for(var s=0;s1,this.stemdir,n,v,this.voiceScale);o=C.noteHead,h=C.roomTaken,l=C.roomTakenRight}else{var _=this.addNoteToAbcElement(N,i,y,this.stemdir,this.style,g,v,r,a);void 0!==_.min&&(this.minY=Math.min(_.min,this.minY)),o=_.noteHead,h=_.roomTaken,l=_.roomTakenRight,p=_.additionalLedgers,c=_.dir,d=_.symbolWidth}if(void 0!==i.lyric&&this.addLyric(N,i),void 0!==i.gracenotes&&(h+=this.addGraceNotes(i,a,N,o,this.stemHeight*this.voiceScale,this.isBagpipes,h)),i.decoration&&this.decoration.createDecoration(a,i.decoration,N.top,o?o.w:0,N,h,c,N.bottom,i.positioning,this.hasVocals),i.barNumber&&N.addChild(new f(i.barNumber,-10,0,0,{type:"barNumber"})),A(N,i.minpitch,i.maxpitch,i.rest,d,p,c,-2,1),void 0!==i.chord){var E=this.addChord(N,i,h,l);h=E.roomTaken,l=E.roomTakenRight}return i.startTriplet&&(this.triplet=new b(i.startTriplet,o,{flatBeams:this.flatBeams})),i.endTriplet&&this.triplet&&this.triplet.setCloseAnchor(o),!this.triplet||i.startTriplet||i.endTriplet||this.triplet.middleNote(o),N};var S=function(t,e,i,r,s,n,a,c,o,h,l){var d,p=i.verticalPos,m=0,g=0,v=0;if(void 0===e)t.addChild(new f("pitch is undefined",0,0,0,{type:"debug"}));else if(""===e)d=new f(null,0,0,p);else{var b=s;if(i.printer_shift){var y="same"===i.printer_shift?1:0;b="down"===r?-u.getSymbolWidth(e)*h+y:u.getSymbolWidth(e)*h-y}var w={scalex:h,scaley:h,thickness:u.symbolHeightInPitches(e)*h};if(d=new f(e,b,u.getSymbolWidth(e)*h,p,w),a){var x=p+("down"===r?-7:7)*h,k="down"===r?s:s+d.w-.6;t.addRight(new f(a,k,u.getSymbolWidth(a)*h,x,{scalex:h,scaley:h}))}for(g=d.w+o-2+5*c;c>0;c--){var A=1-Math.abs(p)%2;t.addRight(new f("dots.dot",d.w+o-2+5*c,u.getSymbolWidth("dots.dot"),p+A))}}if(d&&(d.highestVert=i.highestVert),i.accidental){var T;switch(i.accidental){case"quartersharp":T="accidentals.halfsharp";break;case"dblsharp":T="accidentals.dblsharp";break;case"sharp":T="accidentals.sharp";break;case"quarterflat":T="accidentals.halfflat";break;case"flat":T="accidentals.flat";break;case"dblflat":T="accidentals.dblflat";break;case"natural":T="accidentals.nat"}for(var S=!1,N=n,C=0;C=6){l[C][0]=p,N=l[C][1],S=!0;break}!1===S&&(N-=u.getSymbolWidth(T)*h+2,l.push([p,N]),m=u.getSymbolWidth(T)*h+2),t.addExtra(new f(T,N,u.getSymbolWidth(T),p,{scalex:h,scaley:h})),v=u.getSymbolWidth(T)/2}return{notehead:d,accidentalshiftx:m,dotshiftx:g,extraLeft:v}};r.prototype.addSlursAndTies=function(e,i,r,s,n){if(i.endTie&&this.ties[0]&&(this.ties[0].setEndAnchor(r),this.ties=this.ties.slice(1,this.ties.length)),i.startTie){var a=new v(r,null,("down"===this.stemdir||"down"===n)&&"up"!==this.stemdir,"down"===this.stemdir||"up"===this.stemdir,!0);t&&a.setHint(),this.ties[this.ties.length]=a,s.addOther(a),e.startTie=!0}if(i.endSlur)for(var c=0;cthis.max)&&(this.max=t.abcelem.maxpitch))};function t(t,e,i,r){if(!t.children)return r;for(var s=0;sn&&(s=n);s<-n&&(s=-n);return s}(n,a,i,c),g=p+Math.floor(m/2),v=p+Math.floor(-m/2);l||(s&&p<6?(g=6,v=6):!s&&p>6&&(g=6,v=6));return[g,v]}(this.total,this.elems.length,h,this.stemsUp,c.abcelem.averagepitch,o.abcelem.averagepitch,this.isflat,this.min,this.max,this.isgrace),u=function(t,e,i){var r=e.heads[t?0:e.heads.length-1],s=i.heads[t?0:i.heads.length-1],n=r.x;t&&(n+=r.w-.6);var a=s.x;t&&(a+=s.w);return[n,a]}(this.stemsUp,c,o);this.beams.push({startX:u[0],endX:u[1],startY:d[0],endY:d[1],dy:r});for(var f=function(t,e,r,s,n){for(var c=[],o=[],h=0;h=0;v--)if(h===t.length-1||a(t[h+1].abcelem.duration)>-v-4){var b=u,y=f+p*(v+1);o[v].single&&(b=0===h?u+5:u-5,y=i(r.startX,r.startY,r.endX,r.endY,b)+p*(v+1)),c.push({startX:o[v].x,endX:b,startY:o[v].y,endY:y,dy:n}),o=o.slice(0,v)}}}return c}(this.elems,this.stemsUp,this.beams[0],this.isgrace,r),p=0;p0?c.top+3:c.bottom-1,{scalex:2/3,scaley:2/3})),c.top+=2}return c},t.exports=r},function(t,e,i){"use strict";var r,s=i(4),n=i(3),a=i(2),c=i(0);r=function(t,e){if(!t.accidentals||0===t.accidentals.length)return null;var i=new s(t,0,10,"staff-extra",e);i.isKeySig=!0;var r=0;return c.each(t.accidentals,function(t){var e="sharp"===t.acc?"accidentals.sharp":"natural"===t.acc?"accidentals.nat":"accidentals.flat";i.addRight(new a(e,r,n.getSymbolWidth(e),t.verticalPos,{thickness:n.symbolHeightInPitches(e)})),r+=n.getSymbolWidth(e)+2},this),i},t.exports=r},function(t,e,i){"use strict";var r,s=i(4),n=i(3),a=i(2);r=function(t,e){var i=new s(t,0,10,"staff-extra",e);if("specified"===t.type)for(var r=0,c=0;c",r)),a&&t.addOther(new n(a.start,a.stop,"<",r))},r.prototype.createDecoration=function(e,i,r,n,h,l,d,u,f,p){f||(f={ornamentPosition:"above",volumePosition:p?"above":"below",dynamicPosition:p?"above":"below"}),function(t,e,i,r){for(var n=0;n9&&d++;var p=r/2;"center"!==a.getSymbolAlign(f)&&(p-=a.getSymbolWidth(f)/2),s.addChild(new c(f,p,a.getSymbolWidth(f),d))}if("slide"===e[u]&&s.heads[0]){var m=s.heads[0].pitch,g=new c("",-n-15,0,(m-=2)-1),v=new c("",-n-5,0,m+1);s.addChild(g),s.addChild(v),t.addOther(new o(g,v,!1,!1,!1))}}return void 0===d&&(d=i),{above:d,below:s.bottom}}(e,i,r,n,h,l,d,u);m.above=Math.max(m.above,this.minTop);!function(t,e,i,r,s,n,o){function h(t,e){"above"===t?r.above+=e:r.below-=e}function l(t){var e;return"above"===t?(e=r.above)o&&(e=o),e}function d(t,r){var s=l(r);i.addChild(new c(t,e/2,0,s+2,{type:"decoration",klass:"ornament",thickness:3})),h(r,5)}function u(t,r){var s=e/2;"center"!==a.getSymbolAlign(t)&&(s-=a.getSymbolWidth(t)/2);var n=a.symbolHeightInPitches(t)+1,o=l(r);o="above"===r?o+n/2:o-n/2,i.addChild(new c(t,s,a.getSymbolWidth(t),o,{klass:"ornament",thickness:a.symbolHeightInPitches(t)})),h(r,n)}for(var f={"+":"scripts.stopped",open:"scripts.open",snap:"scripts.snap",wedge:"scripts.wedge",thumb:"scripts.thumb",shortphrase:"scripts.shortphrase",mediumphrase:"scripts.mediumphrase",longphrase:"scripts.longphrase",trill:"scripts.trill",roll:"scripts.roll",irishroll:"scripts.roll",marcato:"scripts.umarcato",dmarcato:"scripts.dmarcato",umarcato:"scripts.umarcato",turn:"scripts.turn",uppermordent:"scripts.prall",pralltriller:"scripts.prall",mordent:"scripts.mordent",lowermordent:"scripts.mordent",downbow:"scripts.downbow",upbow:"scripts.upbow",fermata:"scripts.ufermata",invertedfermata:"scripts.dfermata",breath:",",coda:"scripts.coda",segno:"scripts.segno"},p=!1,m=0;m0&&(s.top+=o)}e=2-s.bottom}},s.prototype.finished=function(){for(var t=0;t1e-7?l.push(this.voices[r]):h.push(this.voices[r])}o=0;var d=0;for(r=0;ra&&(a=h[r].getNextX(),o=h[r].getSpacingUnits(),d=h[r].spacingduration);for(s+=o,n=Math.min(n,o),i&&console.log("currentduration: ",c,s,n),r=0;r0){a=u;for(var p=0;pa&&(a=this.voices[r].getNextX(),o=this.voices[r].getSpacingUnits());for(s+=o,this.w=a,r=0;r1&&t.printStem(this.startx,.6,e,i),t.y=s},t.exports=s},function(t,e,i){"use strict";var r,s=i(4),n=i(2);(r=function(t,e,i){this.tempo=t,this.tuneNumber=e,this.tempoHeightAbove=5,this.pitch=void 0,this.tempo.duration&&!this.tempo.suppressBpm&&(this.note=this.createNote(i,t,e))}).prototype.setUpperAndLowerElements=function(t){if(this.pitch=t.tempoHeightAbove,this.top=t.tempoHeightAbove,this.bottom=t.tempoHeightAbove,this.note){var e=this.pitch-5+1;this.note.top=e,this.note.bottom=e;for(var i=0;ithis.startNote||i>this.endNote)&&(this.startNote=i,this.endNote=i),this.flatBeams&&(this.startNote=Math.max(this.startNote,this.endNote),this.endNote=Math.max(this.startNote,this.endNote)),this.yTextPos=this.startNote+(this.endNote-this.startNote)/2}delete this.middleElems,delete this.flatBeams},r.prototype.draw=function(e){var i;if(this.hasBeam){var r=this.anchor1.parent.beam.isAbove()?this.anchor1.x+this.anchor1.w:this.anchor1.x;i=this.anchor1.parent.beam.xAtMidpoint(r,this.anchor2.x)}else i=this.anchor1.x+(this.anchor2.x+this.anchor2.w-this.anchor1.x)/2,function(e,i,r,s,n,a){r=e.calcY(r),n=e.calcY(n);t(e,i,r,i,r+5,a),t(e,s,n,s,n+5,a);var c=i+(s-i)/2,o=(n-r)/(s-i),h=c-8;t(e,i,r,h,r+(h-i)*o,a);var l=c+8;t(e,l,r+(l-i)*o,s,n,a)}(e,this.anchor1.x,this.startNote,this.anchor2.x+this.anchor2.w,this.endNote,this.duration);e.renderText(i,e.calcY(this.yTextPos),""+this.number,"tripletfont",e.addClasses("triplet d"+this.duration),"middle",!0)}}(),t.exports=r},function(t,e,i){"use strict";var r=i(0),s=function(t,e){this.children=[],this.beams=[],this.otherchildren=[],this.w=0,this.duplicate=!1,this.voicenumber=t,this.voicetotal=e,this.bottom=7,this.top=7,this.specialY={tempoHeightAbove:0,partHeightAbove:0,volumeHeightAbove:0,dynamicHeightAbove:0,endingHeightAbove:0,chordHeightAbove:0,lyricHeightAbove:0,lyricHeightBelow:0,chordHeightBelow:0,volumeHeightBelow:0,dynamicHeightBelow:0}};function n(t){return"rest"===t.type&&!(!t.abcelem||!t.abcelem.rest||"spacer"===t.abcelem.rest.type)}s.prototype.addChild=function(t){if("bar"===t.type){for(var e=!0,i=0;e&&i=this.children.length},s.prototype.getDurationIndex=function(){return this.durationindex-(this.children[this.i]&&this.children[this.i].duration>0?0:5e-7)},s.prototype.getSpacingUnits=function(){return Math.sqrt(8*this.spacingduration)},s.prototype.getNextX=function(){return Math.max(this.minx,this.nextx)},s.prototype.beginLayout=function(t){this.i=0,this.durationindex=0,this.startx=t,this.minx=t,this.nextx=t,this.spacingduration=0},s.prototype.layoutOneItem=function(t,e){var i=this.children[this.i];if(!i)return 0;var r=t-this.minx;return r0){var n=this.outputTextIf(this.padding.left+t,s,"composerfont","meta-top",0,null,"end");this.moveY(n[1])}else this.moveY(r[1]);this.moveY(-6)}this.outputTextIf(this.padding.left+t,e.metaText.author,"composerfont","meta-top",0,0,"end"),this.outputTextIf(this.padding.left,e.metaText.partOrder,"partsfont","meta-bottom",0,0,"start")},c.prototype.engraveExtraText=function(t,e){if(this.lineNumber=null,this.measureNumber=null,this.noteNumber=null,this.voiceNumber=null,e.metaText.unalignedWords){var i=this.getFontAndAttr("wordsfont","meta-bottom"),r=this.getTextSize("i","wordsfont","meta-bottom");e.metaText.unalignedWords.length>0&&this.moveY(this.spacing.words,1);for(var n=0;n0&&this.moveY(i.font.size,2)}var d="";e.metaText.book&&(d+="Book: "+e.metaText.book+"\n"),e.metaText.source&&(d+="Source: "+e.metaText.source+"\n"),e.metaText.discography&&(d+="Discography: "+e.metaText.discography+"\n"),e.metaText.notes&&(d+="Notes: "+e.metaText.notes+"\n"),e.metaText.transcription&&(d+="Transcription: "+e.metaText.transcription+"\n"),e.metaText.history&&(d+="History: "+e.metaText.history+"\n"),e.metaText["abc-copyright"]&&(d+="Copyright: "+e.metaText["abc-copyright"]+"\n"),e.metaText["abc-creator"]&&(d+="Creator: "+e.metaText["abc-creator"]+"\n"),e.metaText["abc-edited-by"]&&(d+="Edited By: "+e.metaText["abc-edited-by"]+"\n"),this.outputTextIf(this.padding.left,d,"historyfont","meta-bottom",this.spacing.info,0,"start"),e.metaText.footer&&this.isPrint&&(this.outputTextIf(this.padding.left,e.metaText.footer.left,"footerfont","header meta-bottom",0,null,"start"),this.outputTextIf(this.padding.left+t/2,e.metaText.footer.center,"footerfont","header meta-bottom",0,null,"middle"),this.outputTextIf(this.padding.left+t,e.metaText.footer.right,"footerfont","header meta-bottom",0,null,"end"))},c.prototype.outputFreeText=function(t){if(""===t){var e=this.getFontAndAttr("textfont","defined-text");this.moveY(2*e.attr["font-size"])}else if("string"==typeof t)this.outputTextIf(this.padding.left,t,"textfont","defined-text",0,1,"start");else{for(var i="",r=!1,s=0;s1&&i.indexOf(".")<0){this.paper.openGroup();for(var l=0,d=0;d=0;s--)this.printStaveLine(t,e,2*(s+1),r),r=void 0;this.paper.closeGroup()}else this.printStaveLine(t,e,6,r)},c.prototype.addClasses=function(t,e){if(!this.shouldAddClasses)return"";var i=[];if(t.length>0&&i.push(t),null!==this.lineNumber&&void 0!==this.lineNumber&&i.push("l"+this.lineNumber),null!==this.measureNumber&&void 0!==this.measureNumber&&i.push("m"+this.measureNumber),null!==this.voiceNumber&&void 0!==this.voiceNumber&&i.push("v"+this.voiceNumber),(t.indexOf("note")>=0||t.indexOf("rest")>=0)&&null!==this.noteNumber&&void 0!==this.noteNumber&&i.push("n"+this.noteNumber),i.length>0){i=(i=i.join(" ")).split(" ");for(var r=0;r0&&(i[r]="abcjs-"+i[r])}return i.join(" ")},c.prototype.getFontAndAttr=function(t,e){var i,r={"font-size":(i="string"==typeof t?(i=this.abctune.formatting[t])?{face:i.face,size:4*i.size/3,decoration:i.decoration,style:i.style,weight:i.weight,box:i.box}:{face:"Arial",size:16,decoration:"underline",style:"normal",weight:"normal"}:{face:t.face,size:4*t.size/3,decoration:t.decoration,style:t.style,weight:t.weight,box:t.box}).size,"font-style":i.style,"font-family":i.face,"font-weight":i.weight,"text-decoration":i.decoration,class:this.addClasses(e),font:""};return{font:i,attr:r}},c.prototype.getTextSize=function(t,e,i){var r=this.getFontAndAttr(e,i),s=this.paper.getTextSize(t,r.attr);return r.font.box&&(s.height+=8,s.width+=8),s},c.prototype.renderText=function(t,e,i,r,s,n,a){var c=this.getFontAndAttr(r,s);n&&(c.attr["text-anchor"]=n),c.attr.x=t,c.attr.y=e+7,a||(c.attr.dy="0.5em"),"debugfont"===r&&(console.log("Debug msg: "+i),c.attr.stroke="#ff0000"),i=(i=i.replace(/\n\n/g,"\n \n")).replace(/^\n/," \n"),c.font.box&&(c.attr.x+=2,c.attr.y+=4);var o=this.paper.text(i,c.attr);if(c.font.box){var h=o.getBBox();this.paper.rect({x:h.x-2,y:h.y,width:h.width+4,height:h.height+4-2,stroke:"#888888",fill:"transparent"})}return this.doRegression&&this.addToRegression(o),o},c.prototype.moveY=function(t,e){void 0===e&&(e=1),this.y+=t*e},c.prototype.skipSpaceY=function(){this.y+=this.space},c.prototype.outputTextIf=function(t,e,i,r,s,n,a){if(e){s&&this.moveY(s);var c=this.renderText(t,this.y,e,i,r,a).getBBox(),o=isNaN(c.width)?0:c.width,h=isNaN(c.height)?0:c.height;if(this.getFontAndAttr(i,r).font.box&&(o+=8,h+=8),null!==n){var l=e.split("\n").length;isNaN(c.height)||this.moveY(h/l,l+n)}return[o,h]}return[0,0]},c.prototype.addInvisibleMarker=function(t){var e=this.y;e=Math.round(e);var i=n("M %f %f L %f %f L %f %f L %f %f z",0,e-.35,100,e-.35,100,e+.35,0,e+.35);this.paper.pathToBack({path:i,stroke:"none",fill:"rgba(0,0,0,0)","fill-opacity":0,class:this.addClasses(t),"data-vertical":e})},c.prototype.printHorizontalLine=function(t,e,i){var r=.35,s="rgba(0,0,255,.4)",a=this.y;e&&(a=e),a=Math.round(a),this.paper.text(""+Math.round(a),{x:10,y:a,"text-anchor":"start","font-size":"18px",fill:s,stroke:s});var c=n("M %f %f L %f %f L %f %f L %f %f z",50,a-r,50+t,a-r,t,a+r,50,a+r);this.paper.pathToBack({path:c,stroke:"none",fill:s,class:this.addClasses("staff")});for(var o=1;o0&&(i===e||new RegExp("(^|\\s)"+e+"(\\s|$)").test(i))}(t,e)||(t.className+=(t.className?" ":"")+e),t},this.removeClassName=function(t,e){return t.className=s.strip(t.className.replace(new RegExp("(^|\\s+)"+e+"(\\s+|$)")," ")),t},this.setReadOnly=function(t){var e=this.editarea.getElem();t?(e.setAttribute("readonly","yes"),this.addClassName(e,"abc_textarea_readonly")):(e.removeAttribute("readonly"),this.removeClassName(e,"abc_textarea_readonly"))}};l.prototype.renderTune=function(t,e,i){var s=new r(t),a=n();a.parse(s.tunes[0].abc,e);var o=a.getTune();new c(i,this.abcjsParams).engraveABC(o)},l.prototype.redrawMidi=function(){if(this.generate_midi&&!this.midiPause){var t=new window.CustomEvent("generateMidi",{detail:{tunes:this.tunes,abcjsParams:this.abcjsParams,downloadMidiEl:this.downloadMidi,inlineMidiEl:this.inlineMidi,engravingEl:this.div}});window.dispatchEvent(t)}},l.prototype.modelChanged=function(){if(void 0===this.tunes)return void 0!==this.downloadMidi&&(this.downloadMidi.innerHTML=""),void 0!==this.inlineMidi&&(this.inlineMidi.innerHTML=""),void(this.div.innerHTML="");if(!this.bReentry){if(this.bReentry=!0,this.timerId=null,this.div.innerHTML="",this.engraver_controller=new c(this.div,this.abcjsParams),this.engraver_controller.engraveABC(this.tunes),this.tunes[0].engraver=this.engraver_controller,this.redrawMidi(),this.warningsdiv&&(this.warningsdiv.innerHTML=this.warnings?this.warnings.join("
"):"No errors"),this.target)new a(this.target,!0).printABC(this.tunes[0]);this.engraver_controller.addSelectListener(this.highlight.bind(this)),this.updateSelection(),this.bReentry=!1}},l.prototype.paramChanged=function(t){if(t)for(var e in t)t.hasOwnProperty(e)&&(this.abcjsParams[e]=t[e]);this.oldt="",this.fireChanged()},l.prototype.parseABC=function(){var t=this.editarea.getString();if(t===this.oldt)return this.updateSelection(),!1;if(this.oldt=t,""===t)return this.tunes=void 0,this.warnings="",!0;var e=new r(t);this.tunes=[],this.startPos=[],this.warnings=[];for(var i=0;i0&&(i===e||new RegExp("(^|\\s)"+e+"(\\s|$)").test(i))})(t,e)||(t.className+=(t.className?" ":"")+e)}(e,"abc_textarea_dirty"):function(t,e){t.className=s.strip(t.className.replace(new RegExp("(^|\\s+)"+e+"(\\s+|$)")," "))}(e,"abc_textarea_dirty")}},l.prototype.fireChanged=function(){if(!this.bIsPaused&&this.parseABC()){var t=this;this.timerId&&clearTimeout(this.timerId),this.timerId=setTimeout(function(){t.modelChanged()},300);var e=this.isDirty();this.wasDirty!==e&&(this.wasDirty=e,this.setDirtyStyle(e)),this.onchangeCallback&&this.onchangeCallback(this)}},l.prototype.setNotDirty=function(){this.editarea.initialText=this.editarea.getString(),this.wasDirty=!1,this.setDirtyStyle(!1)},l.prototype.isDirty=function(){return void 0!==this.indicate_changed&&this.editarea.initialText!==this.editarea.getString()},l.prototype.highlight=function(t,e,i){var r=void 0!==e?this.startPos[e]+e:0;this.editarea.setSelection(r+t.startChar,r+t.endChar)},l.prototype.pause=function(t){this.bIsPaused=t,t||this.fireChanged()},l.prototype.pauseMidi=function(t){this.midiPause=t,t||this.redrawMidi()},t.exports=l},function(t,e,i){"use strict";var r=function(t,e){this.elem=t,this.text="",this.l=1/8,this.reposition=e||!1};r.prototype.printString=function(t,e){this.reposition&&e&&(e.startChar=this.text.length),this.text+=t,this.reposition&&e&&(e.endChar=this.text.length)},r.prototype.printNewLine=function(){this.text+="\n"},r.prototype.printSpace=function(){this.text[this.text.length-1].match(/\s/)||(this.text+=" ")},r.prototype.printABC=function(t){this.text="",this.abctune=t,this.printHeader(),this.printBody(),this.elem.value=this.text},r.prototype.printHeader=function(){this.printHeaderLine("x","X","1"),this.printHeaderLine("title","T"),this.printHeaderLine("composer","C"),this.printHeaderLine("history","H"),this.printHeaderLine("author","A"),this.printHeaderLine("book","B"),this.printHeaderLine("discography","D"),this.printHeaderLine("url","F"),this.printHeaderLine("group","G"),this.printHeaderLine("instruction","I"),this.printHeaderLine("notes","N"),this.printHeaderLine("origin","O"),this.printHeaderLine("rhythm","R"),this.printHeaderLine("source","S"),this.printHeaderLine("unalignedwords","W"),this.printHeaderLine("transcription","Z"),this.printHeaderLine("NULL","L","1/8"),this.printHeaderLine("NULL","M",this.getMeterString(this.abctune.lines[0].staff[0].meter)),this.printHeaderLine("NULL","K",this.getKeyString(this.abctune.lines[0].staff[0].key))},r.prototype.getKeyString=function(t){return t.root+t.acc+t.mode},r.prototype.getMeterString=function(t){switch(t.type){case"cut_time":return"C|";case"common_time":return"C";case"specified":return t.value[0].den?t.value[0].num+"/"+t.value[0].den:t.value[0].num}return""},r.prototype.printHeaderLine=function(t,e,i){var r=this.abctune.metaText[t]||i;if(void 0!==r)for(var s=r.split("\n"),n=0;n1&&(i+="["),e=0;e1&&(i+="]")}1===t.pitches.length&&t.pitches[0].endSlur&&(i+=this.multiplyString(")",t.pitches[0].endSlur.length)),t.endSlur&&(i+=this.multiplyString(")",t.endSlur.length)),this.printString(i,t)},r.prototype.getNoteString=function(t,e){var i="";!e&&t.startSlur&&(i+="(");var r="";switch(t.accidental){case"quartersharp":r="^/";break;case"dblsharp":r="^^";break;case"sharp":r="^";break;case"quarterflat":r="_/";break;case"flat":r="_";break;case"dblflat":r="__";break;case"natural":r="="}i+=r;var s=["C","D","E","F","G","A","B"][this.extractNote(t.pitch)],n=this.extractOctave(t.pitch);if(n>0)for(s=s.toLowerCase(),n--;n>0;)s+="'",n--;else for(;n<0;)s+=",",n++;return i+=s,t.duration&&(i+=this.getDurationString(t.duration)),!e&&t.endSlur&&(i+=")"),t.startTie&&(i+="-"),i},r.prototype.getDurationString=function(t){if(t/this.l>1)return t/this.l;var e="";return this.l/t>1&&(e+="/",this.l/t>2&&(e+=this.l/t)),e},r.prototype.extractNote=function(t){var e=t%7;return e<0&&(e+=7),e},r.prototype.extractOctave=function(t){return Math.floor(t/7)},r.prototype.printBarLine=function(t){var e="";switch(t.type){case"bar_thin":e+="|";break;case"bar_thin_thick":e+="|]";break;case"bar_thin_thin":e+="||";break;case"bar_thick_thin":e+="[|";break;case"bar_dbl_repeat":e+=":||:";break;case"bar_left_repeat":e+="|:";break;case"bar_right_repeat":e+=":|";break;case"bar_invisible":e+=""}this.printString(e,t)},r.prototype.multiplyString=function(t,e){for(var i="";e>0;e--)i+=t;return i},t.exports=r}]);
\ No newline at end of file
diff --git a/4 - Simpson and Trapezoidal rules/slides/js/auto-render.min.js b/4 - Simpson and Trapezoidal rules/slides/js/auto-render.min.js
new file mode 100644
index 0000000..a93360a
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/js/auto-render.min.js	
@@ -0,0 +1 @@
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diff --git a/4 - Simpson and Trapezoidal rules/slides/js/story.js b/4 - Simpson and Trapezoidal rules/slides/js/story.js
new file mode 100644
index 0000000..4bbbd09
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/js/story.js	
@@ -0,0 +1,146 @@
+// Render KaTeX math typesetting, but only if the  has the class
+// feature-math
+$( function() {
+   if ( $( "body.feature-math:not(.feature-nomath)" ).length ) {
+      renderMathInElement(document.body);
+   }
+});
+
+// Render abcjs sheet music, but only if the  has the class
+// feature-music. Do this by removing the 

+// and replacing it with a 
 which will be used to hold the
+// generated sheet music. Remark's code syntax highlighting transforms the
+//  block into a bunch of
+//		
K: Emin

+// one per line, so we have to reassemble those to get back linebreaks.
+$( function() {
+   if ( $( "body.feature-music:not(.feature-nomusic)" ).length ) {
+      $( "code.language-abc, code.abc" ).each(function(i, e){
+         var $this = $(this);
+         var abc = $this.text();
+			if ( $this.hasClass("remark-code") ) {
+				abc = "";
+				$this.children().each(function(i, e) {
+					abc += "\n" + $(this).text();
+				});
+				abc = abc.trim();
+			}
+         var p = $this.parent().before('
');
+         $this.parent().hide();
+         ABCJS.renderAbc("music-" + (i+1), abc, {
+            paddingtop: 0,
+            paddingbottom: 0,
+            paddingright: 0,
+            paddingleft: 0,
+            responsive: "resize"
+         });
+      });
+   }
+});
+
+// Render tweet-styled blockquotes, if  has the class feature-tweetquote and the blockquote ends
+// with a twitter permalink URL.
+$( function() {
+   if ( $( "body.feature-tweetquote:not(.feature-notweetquote)" ).length ) {
+      $("blockquote p:first-child a[href*='twitter.com']").each(function(i, e){
+         $(this.parentElement.parentElement).addClass("tweet sans-serif mw6");
+         $(this).addClass("no-underline b");
+         $(this).prepend('');
+         var m = $(this).attr('href').match(/twitter.com\/([^\/]*)\//);
+         if (m.length > 1) {
+            $(this).append('
@' + m[1] + '');
+         }
+      });
+   }
+});
+
+// Render perspective book images, if  has the class
+// feature-3dbook-covers
+$( function() {
+   $( "body.feature-3dbook-covers article a" ).has( "img[src~='3dbook']" ).each(function(i, e) {
+      $( this ).addClass("book");
+      $( this ).parent().addClass("books");
+   });
+});
+
+// Highlight code listings, if  has the class
+// feature-highlight
+$( function() {
+   if ( $( "body.feature-highlight:not(.feature-nohighlight)" ).length ) {
+		hljs.initHighlightingOnLoad();
+   }
+});
+
+/* Turn images into figures with captions. Several scenarios are handled, in
+ * order:
+ * If the img is followed by an , then transform the  into a caption.
+ * If the img has a title, use that as the caption.
+ * If the img has an alt, use that.
+ * The following features have to be enabled:
+ * - feature-figcaption has to be enabled or the whole thing is disabled
+ * - feature-figcaption-hidden makes the captions invisible till you hover
+ * - feature-fignum adds figure numbering
+ * - feature-figlink adds automatic links of text like "Figure 4"
+ */
+$( function() {
+   $("body.feature-figcaption:not(.feature-nofigcaption) article img").each(function(i, e) {
+      var $this = $(this);
+      // Don't put captions on images that have URL fragment pseudo-classes.
+      if ( $this.attr('src').match(/#/) ) return;
+      var $txt = false;
+      if ( $this.next().is("em") ) {
+         $txt = $this.next().html();
+         $this.next().remove();
+      } else {
+         $txt = $this.attr('title')   ? $this.attr('title')
+              : $this.attr('alt')     ? $this.attr('alt')
+              :                         false;
+      }
+      if ( $txt ) {
+         var $fig = $this.wrap('
')
+            .after('
' + $txt + '
')
+            .parent();
+      }
+   });
+   if ( $("body.feature-figlink").length ) {
+      $("article p, article li").each(function(i, e) {
+         var $old = $(this).html();
+         var $new = $old.replace(/Figure\s+(\d+)/g, 'Figure $1');
+         if ( $old !== $new ) {
+            $(this).html($new);
+         }
+      });
+   }
+});
+
+/* Add captions to tables.
+ * If the table is followed by a 
, then transform the  into a caption.
+ * The following features have to be enabled:
+ * - feature-tablecaption has to be enabled or the whole thing is disabled
+ * - feature-fignum adds table numbering
+ * - feature-figlink adds automatic links of text like "Table 4"
+ */
+$( function() {
+   $("body.feature-tablecaption article table").each(function(i, e) {
+      var $this = $(this);
+      var $txt = false;
+      if ( $this.next().is("p") ) {
+			if ( $this.next().children().first().is("em:only-child") ) {
+				$txt = $this.next().children().first().html();
+				$this.next().remove();
+			}
+      }
+      if ( $txt ) {
+         $this.prepend('' + $txt + '');
+      }
+   });
+   if ( $("body.feature-figlink").length ) {
+      $("article p, article li").each(function(i, e) {
+         var $old = $(this).html();
+         var $new = $old.replace(/Table\s+(\d+)/g, 'Table $1');
+         if ( $old !== $new ) {
+            $(this).html($new);
+         }
+      });
+   }
+});
diff --git a/4 - Simpson and Trapezoidal rules/slides/text.md b/4 - Simpson and Trapezoidal rules/slides/text.md
new file mode 100755
index 0000000..5f569d2
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/slides/text.md	
@@ -0,0 +1,232 @@
+class: title, smokescreen, shelf, no-footer
+# Análise Numérica - Trabalho Prático 4
+### Diogo Cordeiro, Hugo Sales, Pedro Costa, Ricardo Pimenta
+
+---
+class: roomy
+
+# Motivação
+
+Pretende-se compreender o funcionamento conceptual bem como os desafios da implementação de dois métodos numéricos: `Regra de Simpson` e `Regra dos Trapézios.`
+
+---
+class: img-right
+
+.center[![Quarta derivada da função enunciada](imgs/majorante_erro_1.png)]
+
+# 1
+
+Através da análise do gráfico, verificamos que o majorante, em valor absoluto, da 4ª derivada
+da função é menor que 12, este valor é usado para majorar a formula do erro para o calculo de n.
+
+---
+class: compact
+
+# Simpson
+
+Função que implementa o método de Simpson
+
+    double simpson (Function f, double a, double b, int n)
+    {
+        // Intervalo de passo
+        double h = (b - a)/n;
+        // Valor de f nos pontos de indice par
+        double evens = summation(f, 2, n - 2, 2, h, a);
+        // Valor de f nos pontos de indice impar
+        double odds = summation(f, 1, n - 1, 2, h, a);
+        // Aplicação da método de Simpson
+        value = (h/3)*(f(a) + f(b) + 2 * evens + 4 * odds);
+    }
+
+---
+class: compact
+
+# Summation
+
+Função para calcular o sumatório de F entre os pontos de indice `init` e stop saltando `step` pontos, usando `h` como intervalo de passo
+
+    double summation (Function f, int init, int stop, int step, double h, double a)
+    {
+        // Acumulador
+        double total = 0;
+        for (int i = init; i <= stop; i += step) {
+            // Adicionamos o valor de f correspondente ao x de indice i
+            total += f(a + i * h);
+        }
+        return total;
+    }
+
+---
+class: compact
+
+# calculateN
+
+Função para calcular o número de pontos necessários para o calculo do integral com erro menor que error
+
+    int calculateN (double A, double B, double error) {
+        int n = ceil( (B - A) / pow((15.0 * error) / 2.0, 1.0 / 4) );
+        return n + (n % 2);
+    }
+
+---
+class: compact
+
+# main
+
+    void main ()
+    {
+        Function f(x) = sin(sin(sin(sin(x))));
+        // com 7 casas decimais correctas
+        print(simpson(f, 0, 2, calculateN(0, 2, pow(10, -7))));
+        // com 12 casas decimais correctas
+        print(simpson(f, 0, 2, calculateN(0, 2, pow(10, -12))));
+    }
+
+---
+class: roomy
+
+
+
+#### Output
+
+Erro           | Resultado
+---------------|-------------------
+$$ 10^{-7} $$  | 1.0548418906594816
+$$ 10^{-12} $$ | 1.0548418772492483
+
+---
+class: compact
+
+### 2)
+
+    // Valor exacto do integral calculado com o WolframAlpha, arredondado
+    // com 15 algarismos significativos, um a mais do que o erro majorado
+    // máximo para o caso de 2^20 pontos.
+    double I = 1.05484187724912;
+
+    /* Função para calcular o integral recorrendo ao método do Trapézio */
+    double trapezio (Function f, double a, double b) {
+        // Acumulador
+        double summation = 0;
+
+        // Intervalo de passo com n inicial = 2
+        double h = (b - a)/2;
+
+        // Valor constante
+        double fa_fb = f(a) + f(b);
+
+---
+class: compact
+
+### 2)
+
+        // Para cada expoente de 1 a 20 (com passo 1)
+        for (int k = 1; k <= 20; ++k) {
+            // Guarda sumatorio dos pontos anteriores
+            double partial_sum = 0;
+            // Número de intervalos
+            // Com o left shift fazemos a potência de 2^k
+            int n = 1 << k;
+            // Evitamos recalcular pontos da função previamente computados
+            // guardando o sumatório destes em partial_sum e adicionamos a cada
+            // iteração os pontos novos, sendo estes de indice impar
+            for (int i = 1; i < n; i += 2) {
+                // Adicionamos o valor de f correspondente ao x de indice i
+                partial_sum += f(a + i * h);
+            }
+
+            summation += partial_sum;
+
+---
+class: compact
+
+### 2)
+
+            // Aplicação da formula do Trapézio
+            double value = (h/2)*fa_fb + h * summation;
+
+            print(k + "\t| " + value + "\t| " + (I - value));
+
+            // Dividimos o intervalo por 2
+            h /= 2;
+        }
+    }
+
+    void main () {
+        Function f(x) = sin(sin(sin(sin(x))));
+        print(trapezio(f, 0, 2);
+    }
+
+---
+class: compact
+
+
+
+#### Output
+
+k   | $$ I_{n_{k}} $$     | $$ \mid I - I_{n_{k}} \mid $$
+----|---------------------|--------------------------
+1   | 0.9533749638740736  | $$ 1.1 \cdot 10^{-1}  $$
+2   | 1.0308378382617962  | $$ 2.5 \cdot 10^{-2}  $$
+3   | 1.0489039934457873  | $$ 6.0 \cdot 10^{-3}  $$
+4   | 1.053360809734676   | $$ 1.5 \cdot 10^{-3}  $$
+5   | 1.0544718169560368  | $$ 3.8 \cdot 10^{-4}  $$
+6   | 1.054749374997165   | $$ 9.3 \cdot 10^{-5}  $$
+7   | 1.0548187524860693  | $$ 2.4 \cdot 10^{-5}  $$
+
+---
+class: compact
+
+
+
+#### Output
+
+k   | $$ I_{n_{k}} $$     | $$ \mid I - I_{n_{k}} \mid $$
+----|---------------------|--------------------------
+8   | 1.0548360961083287  | $$ 5.8 \cdot 10^{-6}  $$
+9   | 1.054840431967042   | $$ 1.5 \cdot 10^{-6}  $$
+10  | 1.0548415159287925  | $$ 3.6 \cdot 10^{-7}  $$
+11  | 1.0548417869190467  | $$ 9.1 \cdot 10^{-8}  $$
+12  | 1.0548418546666     | $$ 2.3 \cdot 10^{-8}  $$
+13  | 1.054841871603487   | $$ 5.7 \cdot 10^{-9}  $$
+14  | 1.0548418758377078  | $$ 1.5 \cdot 10^{-9}  $$
+
+---
+class: compact
+
+
+
+#### Output
+
+k   | $$ I_{n_{k}} $$     | $$ \mid I - I_{n_{k}} \mid $$
+----|---------------------|--------------------------
+15  | 1.0548418768962615  | $$ 3.5 \cdot 10^{-10} $$
+16  | 1.0548418771608998  | $$ 8.9 \cdot 10^{-11} $$
+17  | 1.0548418772270582  | $$ 2.3 \cdot 10^{-11} $$
+18  | 1.0548418772436017  | $$ 5.6 \cdot 10^{-12} $$
+19  | 1.0548418772477444  | $$ 1.4 \cdot 10^{-12} $$
+20  | 1.0548418772487873  | $$ 3.3 \cdot 10^{-13} $$
diff --git a/4 - Simpson and Trapezoidal rules/src/t4/Function.java b/4 - Simpson and Trapezoidal rules/src/t4/Function.java
new file mode 100755
index 0000000..c1ac9de
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/src/t4/Function.java	
@@ -0,0 +1,8 @@
+package t4;
+/*
+ *	Function.java
+ *	Defines an interface to be implemented by a function
+ */
+interface Function {
+	double function(double x);
+}
diff --git a/4 - Simpson and Trapezoidal rules/src/t4/Functions.java b/4 - Simpson and Trapezoidal rules/src/t4/Functions.java
new file mode 100755
index 0000000..513d675
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/src/t4/Functions.java	
@@ -0,0 +1,17 @@
+package t4;
+import java.lang.Math;
+
+class Functions implements Function {
+    int f;
+    Functions (int f) { this.f = f; }
+
+	public double function(double x) {
+		switch(f) {
+		case 1:
+			return Math.sin(Math.sin(Math.sin(Math.sin(x))));
+		case 2:
+			return Math.exp(x);
+		}
+		return 0;
+    }
+}
diff --git a/4 - Simpson and Trapezoidal rules/src/t4/Main.java b/4 - Simpson and Trapezoidal rules/src/t4/Main.java
new file mode 100755
index 0000000..b9f9382
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/src/t4/Main.java	
@@ -0,0 +1,34 @@
+package t4;
+/*
+ * Main.java
+ */
+import java.lang.Math;
+
+public class Main {
+        static int A = 0;
+	static int B = 2;
+
+	public static void main (String[] args) {
+		Function f = new Functions(1);
+		Simpson s = new Simpson(f, 0, 2, calculateN(Math.pow(10, -7)));
+		System.out.println(s.getValue());
+		s = new Simpson(f, 0, 2, calculateN(Math.pow(10, -7)));
+		System.out.println(s.getValue());
+		s = new Simpson(f, 0, 2, calculateN(Math.pow(10, -12)));
+		System.out.println(s.getValue());
+		Trapezio t = new Trapezio(f, 0, 2);
+
+	}
+
+	private static int
+	calculateN(double error) {
+		int n = (int)Math.ceil( (B - A)/fourthRoot( (15*error)/2 ) );
+		if (n%2 != 0) n++;
+		return n;
+	}
+
+	private static double
+	fourthRoot(double x) {
+		return Math.pow(Math.E, Math.log(x)/(4));
+	}
+}
diff --git a/4 - Simpson and Trapezoidal rules/src/t4/Simpson.java b/4 - Simpson and Trapezoidal rules/src/t4/Simpson.java
new file mode 100755
index 0000000..360e72d
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/src/t4/Simpson.java	
@@ -0,0 +1,39 @@
+package t4;
+/*
+ * File: Simpson.java
+ */
+class Simpson {
+    Function f;
+    double a, b, h, value;
+    int n;
+
+    Simpson(Function f, double a, double b, int n) {
+        this.f = f;
+        this.a = a;
+        this.b = b;
+        this.n = n;
+        h = (b - a)/n;
+        integrate();
+    }
+
+    private void
+    integrate() {
+        double evens = summation(2, n - 2, 2);
+        double odds = summation(1, n - 1, 2);
+        value = (h/3)*(f.function(a) + f.function(b) + 2 * evens +
+                       4 * odds);
+    }
+
+    private double
+    summation(int init, int stop, int step) {
+        double total = 0;
+        for(int i = init; i <= stop; i += step) {
+            total += f.function(a + i * h);
+        }
+        return total;
+    }
+
+    double getValue() {
+        return value;
+    }
+}
diff --git a/4 - Simpson and Trapezoidal rules/src/t4/Trapezio.java b/4 - Simpson and Trapezoidal rules/src/t4/Trapezio.java
new file mode 100755
index 0000000..0f974e1
--- /dev/null
+++ b/4 - Simpson and Trapezoidal rules/src/t4/Trapezio.java	
@@ -0,0 +1,39 @@
+package t4;
+/*
+ * File: Trapezio.java
+ */
+import java.lang.Math;
+
+class Trapezio {
+    Function f;
+    double a, b, h;
+    double I = 
+    1.05484187724911547751533517464219602152206870774592276179752284037644091143765440923297387253623012796377251858496919472367147923666436460017169769843;
+
+    Trapezio(Function f, double a, double b) {
+        this.f = f;
+        this.a = a;
+        this.b = b;
+        integrate();
+    }
+
+    private void
+    integrate() {
+		double summation = 0;
+		double h = (b - a)/2; // n inicial = 2
+		double fa_fb = f.function(a) + f.function(b);
+		
+        for( int k = 1; k <= 20; ++k ){
+			double partial_sum = 0; // Guarda sumatorio dos pontos novos
+			int n = (int)Math.pow(2, k);
+			for(int i = 1; i < n; i += 2){
+				partial_sum += f.function(a + i * h);
+			}
+			summation += partial_sum;
+			double value = (h/2)*fa_fb + h * summation; 
+			System.out.println(k + "\t| " + value + "\t| " + (I - 
+			value) );
+			h /= 2; 
+		}
+    }
+}