101 lines
3.4 KiB
Markdown
101 lines
3.4 KiB
Markdown
# POLYnomial MANI.PuLation
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A symbolic polynomial calculator in Prolog.
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## How to run
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In a terminal, run
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$ swipl
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Inside the REPl, load the file
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?- ["polymani.pl"].
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> Note: Don't forget the dot at the end of the line.
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The user available predicates are:
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1) poly2list/2
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2) simpoly_list/2
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3) simpoly/2
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4) scalepoly/3
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5) addpoly/3
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`poly2list/2` - transforms a list representing a polynomial (second argument)
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into a polynomial represented as an expression (first argument)
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and vice-versa.
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`simpolylist/2` - simplifies a polynomial represented as a list into
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another polynomial as a list.
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`simpoly/2` - simplifies a polynomial represented as an expression
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as another polynomial as an expression.
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`scalepoly/3` - multiplies a polynomial represented as an expression by a scalar
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resulting in a second polynomial. The two first arguments are assumed to
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be ground. The polynomial resulting from the sum is in simplified form.
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`addpoly/3` - adds two polynomials as expressions resulting in a
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third one. The two first arguments are assumed to be ground.
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The polynomial resulting from the sum is in simplified form.
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> Note: `foo/N` means the funciton `foo` has `N` parameters (this is known as arity).
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These names are the ones requested in the assignment.
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## Tests
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```
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:- ["polymani.pl"].
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%@ true.
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?- poly2list(2*x^2+3*x+5*x^17-7*x^21+3*x^3+25*x^5-4.3, S).
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%@ S = [-4.3, 25*x^5, 3*x^3, -7*x^21, 5*x^17, 3*x, 2*x^2].
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?- simpoly_list([x*x*x, x^3, 5*x^3, 4.2*z, 2, 42.6, 42*y, 5*z, z^7, z*y^1337, 0], L).
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%@ L = [44.6, 7*x^3, 9.2*z, 42*y, y^1337*z, z^7].
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?- simpoly(1+x+1+x+1+x+1+x^3+5*x^3+42*x^1337+0, S).
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%@ S = 42*x^1337+6*x^3+3*x+4.
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?- scalepoly(2*x^2+3*x+5*x^17-7*x^21+3*x^3-23*x^4+25*x^5-4.3, 42, S).
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%@ S = 1050*x^5+210*x^17+126*x^3+126*x+84*x^2-294*x^21-966*x^4-180.6.
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?- addpoly(2*x^2+3*x+5*x^17-x^4+25*x^5-4.3, 42*x^1337+0-5, S).
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%@ S = 42*x^1337+25*x^5+5*x^17+3*x+2*x^2-1*x^4-9.3.
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```
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## Authors
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* **Diogo Cordeiro** - up*201705417*@fc.up.pt
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* **Hugo Sales** - up*201704178*@fc.up.pt
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## License
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Affero General Public License as
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published by the Free Software Foundation, either version 3 of the
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License, or (at your option) any later version.
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This program is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Affero General Public License for more details.
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You should have received a copy of the GNU Affero General Public
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License along with this program, in the file "COPYING". If not, see
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<http://www.gnu.org/licenses/>.
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IMPORTANT NOTE: The GNU Affero General Public License (AGPL) has
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*different requirements* from the "regular" GPL. In particular, if
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you make modifications to the POLYnomial MANI.PuLation source code on your server,
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you *MUST MAKE AVAILABLE* the modified version of the source code
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to your users under the same license. This is a legal requirement
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of using the software, and if you do not wish to share your
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modifications, *YOU MAY NOT INSTALL POLYNOMIAL MANI.PULATION*.
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Additional library software has been made available (and were referenced
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in the "Built With" section. All of it is Free Software and can be
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distributed under liberal terms, but those terms may differ in detail
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from the AGPL's particulars. See each package's license file in their
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official repository for additional terms.
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