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|
#
# Tests for functions defined in src/ariths.c
#
gap> START_TEST("kernel/ariths.tst");
# InUndefined
gap> 1 in 2;
Error, operations: IN of integer and integer is not defined
# SUM, DIFF, PROD, QUO
gap> SUM(1,1);
2
gap> DIFF(1,1);
0
gap> PROD(1,1);
1
gap> QUO(1,1);
1
gap> MOD(1,1);
0
#
# suppress paths in trace output
#
gap> old_VMETHOD_PRINT_INFO:=VMETHOD_PRINT_INFO;;
gap> old_NEXT_VMETHOD_PRINT_INFO:=NEXT_VMETHOD_PRINT_INFO;;
gap> MakeReadWriteGlobal("VMETHOD_PRINT_INFO");
gap> MakeReadWriteGlobal("NEXT_VMETHOD_PRINT_INFO");
gap> VMETHOD_PRINT_INFO:=function(methods, i, arity)
> local offset;
> offset := (arity+BASE_SIZE_METHODS_OPER_ENTRY)*(i-1)+arity;
> Print("#I ", methods[offset+4]);
> Print("\n");
> end;;
gap> NEXT_VMETHOD_PRINT_INFO:=function(methods, i, arity)
> local offset;
> offset := (arity+BASE_SIZE_METHODS_OPER_ENTRY)*(i-1)+arity;
> Print("#I Trying next: ", methods[offset+4]);
> Print("\n");
> end;;
#
# Test the various "VerboseFOO" handlers; to this end, create a mock family,
# category and type, and two instances of that, so that we can safely test all
# involved unary and binary operations
#
gap> fam := NewFamily("MockFamily");;
gap> cat := NewCategory("IsMockObj",
> IsMultiplicativeElementWithInverse and
> IsAdditiveElementWithInverse and
> IsCommutativeElement and
> IsAssociativeElement and
> IsAdditivelyCommutativeElement);;
gap> type := NewType(fam, cat and IsPositionalObjectRep);;
gap> a := Objectify(type,[2]);;
gap> b := Objectify(type,[3]);;
# unary
gap> unary := [
> Zero,
> ZeroMutable,
> ZeroSameMutability,
> AdditiveInverse,
> AdditiveInverseMutable,
> AdditiveInverseSameMutability,
> One,
> OneMutable,
> OneSameMutability,
> Inverse,
> InverseMutable,
> InverseSameMutability,
> ];;
# binary
gap> binary := [
> \=,
> \<,
> \in,
> \+,
> \-,
> \*,
> \/,
> LeftQuotient,
> \^,
> Comm,
> \mod,
> ];;
#
# test with regular methods
#
gap> for m in unary do InstallMethod(m, [cat], ReturnTrue); od;
gap> for m in binary do InstallMethod(m, [cat, cat], ReturnTrue); od;
gap> InstallMethod(SetZeroImmutable, [cat, IsObject], ReturnNothing);
gap> InstallMethod(SetAdditiveInverseImmutable, [cat, IsObject], ReturnNothing);
gap> InstallMethod(SetOneImmutable, [cat, IsObject], ReturnNothing);
gap> InstallMethod(SetInverseImmutable, [cat, IsObject], ReturnNothing);
# ... and also involving TryNextMethod
gap> for m in unary do InstallMethod(m, [cat], 1, function(x) TryNextMethod(); end); od;
gap> for m in binary do InstallMethod(m, [cat, cat], 1, function(x,y) TryNextMethod(); end); od;
#
gap> 0*a;
true
gap> Zero(a);
true
gap> ZeroMutable(a);
true
gap> ZeroSameMutability(a);
true
gap> -a;
true
gap> AdditiveInverse(a);
true
gap> AdditiveInverseMutable(a);
true
gap> AdditiveInverseSameMutability(a);
true
gap> a^0;
true
gap> One(a);
true
gap> OneMutable(a);
true
gap> OneSameMutability(a);
true
gap> a^-1;
true
gap> Inverse(a);
true
gap> InverseMutable(a);
true
gap> InverseSameMutability(a);
true
gap> a = b;
true
gap> a < b;
true
gap> a in b;
true
gap> a + b;
true
gap> a - b;
true
gap> a * b;
true
gap> a / b;
true
gap> LeftQuotient(a, b);
true
gap> a ^ b;
true
gap> Comm(a, b);
true
gap> a mod b;
true
#
gap> meths := Concatenation(unary, binary);;
gap> TraceMethods(meths);
#
gap> 0*a;
#I *: zero integer * additive element with zero
#I ZeroSameMutability
#I Trying next: ZeroSameMutability
true
gap> Zero(a);
#I ZeroImmutable
#I Trying next: ZeroImmutable
#I SetZeroImmutable
true
gap> ZeroMutable(a);
#I ZeroMutable
#I Trying next: ZeroMutable
true
gap> ZeroSameMutability(a);
#I ZeroSameMutability
#I Trying next: ZeroSameMutability
true
gap> -a;
#I AdditiveInverseSameMutability
#I Trying next: AdditiveInverseSameMutability
true
gap> AdditiveInverse(a);
#I AdditiveInverseImmutable
#I Trying next: AdditiveInverseImmutable
#I SetAdditiveInverseImmutable
true
gap> AdditiveInverseMutable(a);
#I AdditiveInverseMutable
#I Trying next: AdditiveInverseMutable
true
gap> AdditiveInverseSameMutability(a);
#I AdditiveInverseSameMutability
#I Trying next: AdditiveInverseSameMutability
true
gap> a^0;
#I ^: for mult. element-with-one, and zero
#I OneSameMutability
#I Trying next: OneSameMutability
true
gap> One(a);
#I OneImmutable
#I Trying next: OneImmutable
#I SetOneImmutable
true
gap> OneMutable(a);
#I OneMutable
#I Trying next: OneMutable
true
gap> OneSameMutability(a);
#I OneSameMutability
#I Trying next: OneSameMutability
true
gap> a^-1;
#I ^: for mult. element-with-inverse, and negative integer
#I InverseSameMutability
#I Trying next: InverseSameMutability
true
gap> Inverse(a);
#I InverseImmutable
#I Trying next: InverseImmutable
#I SetInverseImmutable
true
gap> InverseMutable(a);
#I InverseMutable
#I Trying next: InverseMutable
true
gap> InverseSameMutability(a);
#I InverseSameMutability
#I Trying next: InverseSameMutability
true
gap> a = b;
#I =
#I Trying next: =
true
gap> a < b;
#I <
#I Trying next: <
true
gap> a in b;
#I in
#I Trying next: in
true
gap> a + b;
#I +
#I Trying next: +
true
gap> a - b;
#I -
#I Trying next: -
true
gap> a * b;
#I *
#I Trying next: *
true
gap> a / b;
#I /
#I Trying next: /
true
gap> LeftQuotient(a, b);
true
gap> a ^ b;
#I ^
#I Trying next: ^
true
gap> Comm(a, b);
#I Comm
#I Trying next: Comm
true
gap> a mod b;
#I mod
#I Trying next: mod
true
#
gap> UntraceMethods(meths);
#
# test "method should have returned a value" checks
#
gap> for m in unary do InstallMethod(m, [cat], 2, ReturnNothing); od;
gap> for m in binary do InstallMethod(m, [cat, cat], 2, ReturnNothing); od;
#
gap> 0*a;
Error, ZeroSameMutability: method should have returned a value
gap> Zero(a);
Error, Method for an attribute must return a value
gap> ZeroMutable(a);
Error, ZeroOp: method should have returned a value
gap> ZeroSameMutability(a);
Error, ZeroSameMutability: method should have returned a value
gap> -a;
Error, AdditiveInverseSameMutability: method should have returned a value
gap> AdditiveInverse(a);
Error, Method for an attribute must return a value
gap> AdditiveInverseMutable(a);
Error, AdditiveInverseOp: method should have returned a value
gap> AdditiveInverseSameMutability(a);
Error, AdditiveInverseSameMutability: method should have returned a value
gap> a^0;
Error, OneSameMutability: method should have returned a value
gap> One(a);
Error, Method for an attribute must return a value
gap> OneMutable(a);
Error, OneOp: method should have returned a value
gap> OneSameMutability(a);
Error, OneSameMutability: method should have returned a value
gap> a^-1;
Error, InverseSameMutability: method should have returned a value
gap> Inverse(a);
Error, Method for an attribute must return a value
gap> InverseMutable(a);
Error, InvOp: method should have returned a value
gap> InverseSameMutability(a);
Error, InverseSameMutability: method should have returned a value
gap> a = b;
false
gap> a < b;
false
gap> a in b;
false
gap> a + b;
Error, SUM: method should have returned a value
gap> a - b;
Error, DIFF: method should have returned a value
gap> a * b;
Error, PROD: method should have returned a value
gap> a / b;
Error, QUO: method should have returned a value
gap> LeftQuotient(a, b);
Error, LeftQuotient: method should have returned a value
gap> a ^ b;
Error, POW: method should have returned a value
gap> Comm(a, b);
Error, Comm: method should have returned a value
gap> a mod b;
Error, mod: method should have returned a value
#
gap> meths := Concatenation(unary, binary);;
gap> TraceMethods(meths);
#
gap> 0*a;
#I *: zero integer * additive element with zero
#I ZeroSameMutability
Error, ZeroSameMutability: method should have returned a value
gap> Zero(a);
#I ZeroImmutable
Error, Method for an attribute must return a value
gap> ZeroMutable(a);
#I ZeroMutable
Error, ZeroOp: method should have returned a value
gap> ZeroSameMutability(a);
#I ZeroSameMutability
Error, ZeroSameMutability: method should have returned a value
gap> -a;
#I AdditiveInverseSameMutability
Error, AdditiveInverseSameMutability: method should have returned a value
gap> AdditiveInverse(a);
#I AdditiveInverseImmutable
Error, Method for an attribute must return a value
gap> AdditiveInverseMutable(a);
#I AdditiveInverseMutable
Error, AdditiveInverseOp: method should have returned a value
gap> AdditiveInverseSameMutability(a);
#I AdditiveInverseSameMutability
Error, AdditiveInverseSameMutability: method should have returned a value
gap> a^0;
#I ^: for mult. element-with-one, and zero
#I OneSameMutability
Error, OneSameMutability: method should have returned a value
gap> One(a);
#I OneImmutable
Error, Method for an attribute must return a value
gap> OneMutable(a);
#I OneMutable
Error, OneOp: method should have returned a value
gap> OneSameMutability(a);
#I OneSameMutability
Error, OneSameMutability: method should have returned a value
gap> a^-1;
#I ^: for mult. element-with-inverse, and negative integer
#I InverseSameMutability
Error, InverseSameMutability: method should have returned a value
gap> Inverse(a);
#I InverseImmutable
Error, Method for an attribute must return a value
gap> InverseMutable(a);
#I InverseMutable
Error, InvOp: method should have returned a value
gap> InverseSameMutability(a);
#I InverseSameMutability
Error, InverseSameMutability: method should have returned a value
gap> a = b;
#I =
false
gap> a < b;
#I <
false
gap> a in b;
#I in
false
gap> a + b;
#I +
Error, SUM: method should have returned a value
gap> a - b;
#I -
Error, DIFF: method should have returned a value
gap> a * b;
#I *
Error, PROD: method should have returned a value
gap> a / b;
#I /
Error, QUO: method should have returned a value
gap> LeftQuotient(a, b);
Error, LeftQuotient: method should have returned a value
gap> a ^ b;
#I ^
Error, POW: method should have returned a value
gap> Comm(a, b);
#I Comm
Error, Comm: method should have returned a value
gap> a mod b;
#I mod
Error, mod: method should have returned a value
#
gap> UntraceMethods(meths);
#
# restore previous state
#
gap> NEXT_VMETHOD_PRINT_INFO:=old_NEXT_VMETHOD_PRINT_INFO;;
gap> VMETHOD_PRINT_INFO:=old_VMETHOD_PRINT_INFO;;
gap> MakeReadOnlyGlobal("VMETHOD_PRINT_INFO");
gap> MakeReadOnlyGlobal("NEXT_VMETHOD_PRINT_INFO");
#
gap> STOP_TEST("kernel/ariths.tst");
|
