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documentation update #842

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273 changes: 268 additions & 5 deletions check/examples.frm
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Original file line number Diff line number Diff line change
Expand Up @@ -571,7 +571,45 @@ EOF
assert stdout =~ /~~~\$c = 2200/
assert stdout =~ /~~~\$max = 4/
assert stdout =~ /~~~\$min = 0/
*--#] DolVarsParallel_1 :
*--#] DolVarsParallel_1 :
*--#[ Sta_Also_1 :
Symbols x,y,cosphi,sinphi;
Local F = x+y;
id x = cosphi*x-sinphi*y;
also y = sinphi*x+cosphi*y;
Print;
.end
assert succeeded?
assert result("F") =~ expr("- y*sinphi + y*cosphi + x*sinphi + x*cosphi")
*--#] Sta_Also_1 :
*--#[ Sta_Antibracket_1 :
Symbols x, y;
Local F = (1+x+x^2)*(1+y+y^2);
AntiBracket y;
Print;
.end
assert succeeded?
assert stdout =~ exact_pattern(<<'EOF')
F =
+ x * ( 1 + y + y^2 )

+ x^2 * ( 1 + y + y^2 )

+ 1 + y + y^2;
EOF
*--#] Sta_Antibracket_1 :
*--#[ Sta_Antiputinside_1 :
Symbols x, y, z;
Cfunction f;
Local F = 10 + x + y^2 + y*z;
Antiputinside f,x;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(y*z) + f(y^2) + f(1)*x + f(10)
")
*--#] Sta_Antiputinside_1 :
*--#[ Sta_ArgImplode_1 :
CF Z1, ..., Z4;
S x, a, b;
Expand All @@ -587,9 +625,88 @@ EOF
.end
assert succeeded?
assert result("s") =~ expr("0")
*--#] Sta_ArgImplode_1 :
*--#] Sta_ArgImplode_1 :
*--#[ Sta_Argtoextrasymbol_1 :
Symbols x, y;
Cfunction f;
Local F = f(x + 1);
Local F1 = f(y,x + 1);
Argtoextrasymbol;
Print;
.end
assert succeeded?
assert result("F") =~ expr("f(Z1_)")
assert result("F1") =~ expr("f(Z2_,Z1_)")
*--#] Sta_Argtoextrasymbol_1 :
*--#[ Sta_Argument_1 :
Symbols x, y, z;
CFunction f;
Local F = f(x + 2*y + z^2);
Argument;
Identify y = x;
Endargument;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(z^2 + 3*x)
")
*--#] Sta_Argument_1 :
*--#[ Sta_Argument_2 :
Symbols x,y;
CFunction f, f1, f2, f3;
Local F = f(x,x,x,x) + f1(x,x,x,x) + f2(x,x) + f3(x);
Argument 2,f,1,{f,f1},3,4;
Identify x = y;
Endargument;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(y,y,y,y) + f1(x,y,y,y) + f2(x,y) + f3(x)
")
*--#] Sta_Argument_2 :
*--#[ Sta_Bracket_1 :
Symbols x, y;
Local F = (1+x+x^2)*(1+y+y^2);
Bracket y;
Print;
.end
assert succeeded?
assert stdout =~ exact_pattern(<<'EOF')
F =
+ y * ( 1 + x + x^2 )

+ y^2 * ( 1 + x + x^2 )

+ 1 + x + x^2;
EOF
*--#] Sta_Bracket_1 :
*--#[ Sta_Chainin_1 :
Function f;
Symbol x,y,z;
Local F = f(x)*f(y)*f(z);
ChainIn f;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(x,y,z)
")
*--#] Sta_Chainin_1 :
*--#[ Sta_Chainout_1 :
Function f;
Symbol x,y,z;
Local F = f(x,y,z);
ChainOut f;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(x)*f(y)*f(z)
")
*--#] Sta_Chainout_1 :
*--#[ Sta_Collect_1 :
* TODO: change the result in the manual.
S a,b,c;
CF cfun;
L F =
Expand Down Expand Up @@ -624,6 +741,116 @@ assert result("G") =~ expr("
A3(i5)*A3(i4)*g_(1,5_)
")
*--#] Sta_CommuteInSet_1 :
*--#[ Sta_Commute_1 :
CFunction f,g;
Symbol x;
Local F = f(x)*g(x) + g(x)*f(x);
Print;
.end
assert succeeded?
assert result("F") =~ expr("
2*f(x)*g(x)
")
*--#] Sta_Commute_1 :
*--#[ Sta_Denominators_1 :
Symbols x, y;
Cfunction rat, den;
PolyRatFun rat;
Local F = 1/(x+y);
Denominators den;
Identify den(x?) = rat(1,x);
Print;
.end
assert succeeded?
assert result("F") =~ expr("
rat(1,x + y)
")
*--#] Sta_Denominators_1 :
*--#[ Sta_Discard_1 :
Symbols x;
Local F = x^3 + x^4 + x^5 + x^6;
if ( count(x,1) > 5 ) Discard;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
x^3 + x^4 + x^5
")
*--#] Sta_Discard_1 :
*--#[ Sta_Do_1 :
Symbol x,y;
CFunction f;
LocalFactorized F = (1+y)*(2+y)*(3+y)*(4+y)*(5+y);
.sort
#$nf = numfactors_(F);
Local G = <x^1>+...+<x^`$nf'>;
Do $i = 1,$nf;
Identify,only x^$i = f(F[factor_^$i]);
Enddo;
Print;
ModuleOption local $i;
.end
Comment thread
jodavies marked this conversation as resolved.
assert succeeded?
assert stdout =~ exact_pattern("
F =
( 1 + y )
* ( 2 + y )
* ( 3 + y )
* ( 4 + y )
* ( 5 + y );
")
assert result("G") =~ expr("
f(1 + y) + f(2 + y) + f(3 + y) + f(4 + y) + f(5 + y)
")
*--#] Sta_Do_1 :
*--#[ Sta_Drop_1 :
Local F1 = 1;
Local F2 = 2;
Local F3 = 3;
.sort
Drop;
Ndrop F1;
Print;
.end
assert succeeded?
assert result("F1") =~ expr("1")
*--#] Sta_Drop_1 :
*--#[ Sta_DropCoefficient_1 :
Symbols x;
Local F = 1 + 10*x + 20*x^2;
DropCoefficient;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
1 + x + x^2
")
*--#] Sta_DropCoefficient_1
*--#[ Sta_DropCoefficient_2 :
Symbols x;
Cfunction f;
Local F = f(1 + 5*x + 10*x^2);
Argument;
DropCoefficient;
Endargument;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(1 + x + x^2)
")
*--#] Sta_DropCoefficient_2
*--#[ Sta_DropSymbols_1 :
Symbols x, y, z;
Local F = 1 + x + x^2 + z^3 + 2^2*y^4;
Dropsymbols;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
8
")
*--#] Sta_Dropsymbols_1
*--#[ Sta_FactArg_1 :
*TODO: OldFactArg is needed for the result in the manual.
On OldFactArg;
Expand All @@ -644,7 +871,20 @@ assert result("G") =~ expr("
f(a,b,-1,3) + f(a,b,3) + 2*f1(a*b) + f2(a*b,-1,3) + f2(a*b,3)
+ f3(a*b,-3) + f3(a*b,3)
")
*--#] Sta_FactArg_1 :
*--#] Sta_FactArg_1 :
*--#[ Sta_Factorize_1 :
Symbols x;
Local F = x^3 + 3*x^2 + 3*x + 1;
Factorize;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
( 1 + x )
* ( 1 + x )
* ( 1 + x )
")
*--#] Sta_Factorize_1 :
*--#[ Sta_Fill_1 :
Table B(1:1);
Local dummy = 1;
Expand Down Expand Up @@ -823,7 +1063,30 @@ assert result("G") =~ expr("
EOF
)
assert result("F") =~ expr("3*c + 5*b")
*--#] Sta_Print_1 :
*--#] Sta_Print_1 :
*--#[ Sta_Putinside_1 :
Symbols x, y, z;
Cfunction f;
Local F = 1 + x + 2*x + y^2+ z^3;
Putinside f,x;
Print;
.end
assert succeeded?
assert result("F") =~ expr("
f(2*x) + f(x) + f(1) + f(1)*z^3 + f(1)*y^2")
*--#] Sta_Putinside_1 :
*--#[ Sta_Repeat_1 :
Symbols x, y, z;
CFunction f, g;
Local F = f(x)*g(y)*g(z);
Repeat;
Identify f(?a)*g(?b) = f(?a,?b);
Endrepeat;
Print;
.end
assert succeeded?
assert result("F") =~ expr("f(x,y,z)")
*--#] Sta_Repeat_1 :
*--#[ Sta_ReplaceLoop_1 :
*TODO: change the result in the manual.
Functions f(antisymmetric),ff(cyclesymmetric);
Expand Down
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