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yap-6.3/CHR/chr/examples/examples-fourier.math

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% fourier.chr EXAMPLES ------------------------------------------------------
% adapted for CHRs by Thom Fruehwirth 1993
eg([X,Z,Y,SA,SB,SD,SC,SE,SF,SG,SH,SK,End]):-
{
Y=:=SA,
SB =:= SA + 7,
SD =:= SA + 7,
SC =:= SB + 3,
SC>=SB+3,
SE =:= SD + 8,
SG>=SC+1,
SG =:= SD + 8,
SF =:= SD + 8,
SF>=SC+1,
SH >= SF + 1,
SJ =:= SH + 3,
SK>=SG+1,
SK>=SE+2,
SK =:= SJ + 2,
End =:= SK + 1,
3*X+2*Y-4*(3+Z)=:=2*(X-3)+(Y+Z)*7,
2*(X+Y+Z)=:=3*(X-Y-Z),
5*(X+Y)-7*X-Z >= (2+1+X)*6,
2*(X-Y+Z)=:=Y+X-7,
SH-SC+X+Z=:=0
}.
%L = [-5, -1, 0, 0, 7, 7, 10, 15, 15, 15, 16, 21, 22]
/*
%I1=3,I2=2,I3=3,I4=0,I5=4,I6=2,I7=5,I8=0,I9=3,I10=5,I11=(-2),I12=3,I13=4,I14=3,
I8+I7+I6+I5+I4+I3+I2+6=:=22, I9+I8+I7+I6+I5+I4+I3+I2+6=:=25,
I1=:=3, I2>=2, I3>=3, I4+I3+I2+1>=4, I5+I4+1>=5,
I6+I5+1>=7, I6>=2, I7>=5, I10+I9+1>=2, I11+I10+1>=4,
I12+I11+2=<3, I12+1=<4, I12+I11+1>=2, I12>=3, I13>=4,
I14>=3, I14+I13+I12+I11+4=<22, I14+I13+I12+I11+3=<25,
I14+I13+I12+I11+I10+I9+7>=23, I14+I13+I12+I11+I10+6>=26. % should be 19
X>2,X>=3.
X>=2,X>2.
X>2,X>=2.
X+Y>=2,Y-X>=1,3>=Y.
X+2*Y=<3,-X-Y=<1.
*/