From eb9aab2d6baa9e34ff965b971a57f7d9ce28981d Mon Sep 17 00:00:00 2001
From: Mohamed Barakat <mohamed.barakat@rwth-aachen.de>
Date: Tue, 29 Oct 2024 15:17:47 +0100
Subject: [PATCH] fixed FreydCategoriesForCAP tests for Julia

---
 FreydCategoriesForCAP/PackageInfo.g           |  2 +-
 .../examples/AdditiveClosureKronecker.g       | 11 +++---
 .../examples/AdditiveClosureMonoidal.g        | 35 ++++++++++---------
 3 files changed, 24 insertions(+), 24 deletions(-)

diff --git a/FreydCategoriesForCAP/PackageInfo.g b/FreydCategoriesForCAP/PackageInfo.g
index e5affdc477..383d355901 100644
--- a/FreydCategoriesForCAP/PackageInfo.g
+++ b/FreydCategoriesForCAP/PackageInfo.g
@@ -10,7 +10,7 @@ SetPackageInfo( rec(
 
 PackageName := "FreydCategoriesForCAP",
 Subtitle := "Freyd categories - Formal (co)kernels for additive categories",
-Version := "2024.10-03",
+Version := "2024.10-04",
 Date := (function ( ) if IsBound( GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE ) then return GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE; else return Concatenation( ~.Version{[ 1 .. 4 ]}, "-", ~.Version{[ 6, 7 ]}, "-01" ); fi; end)( ),
 License := "GPL-2.0-or-later",
 
diff --git a/FreydCategoriesForCAP/examples/AdditiveClosureKronecker.g b/FreydCategoriesForCAP/examples/AdditiveClosureKronecker.g
index 0d2449c138..200d9ae10a 100644
--- a/FreydCategoriesForCAP/examples/AdditiveClosureKronecker.g
+++ b/FreydCategoriesForCAP/examples/AdditiveClosureKronecker.g
@@ -5,23 +5,22 @@
 #! @Example
 LoadPackage( "FreydCategoriesForCAP", false );
 #! true
-Q := HomalgFieldOfRationals();
-#! Q
+Q := HomalgFieldOfRationals();;
 R := RingAsCategory( Q );
 #! RingAsCategory( Q )
 A := AdditiveClosure( R );
 #! AdditiveClosure( RingAsCategory( Q ) )
 u := TensorUnit( A );
-#! <An object in AdditiveClosure( RingAsCategory( Q ) )
+#! <An object in AdditiveClosure( RingAsCategory( Q ) )\
 #!  defined by 1 underlying objects>
 mor1 := [ [ 1 / R, 2 / R ] ] / A;
-#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )
+#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )\
 #!  defined by a 1 x 2 matrix of underlying morphisms>
 mor2 := [ [ 3 / R, 4 / R ] ] / A;
-#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )
+#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )\
 #!  defined by a 1 x 2 matrix of underlying morphisms>
 T := TensorProduct( mor1, mor2 );
-#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )
+#! <A morphism in AdditiveClosure( RingAsCategory( Q ) )\
 #!  defined by a 1 x 4 matrix of underlying morphisms>
 Display( T );
 #! A 1 x 4 matrix with entries in RingAsCategory( Q )
diff --git a/FreydCategoriesForCAP/examples/AdditiveClosureMonoidal.g b/FreydCategoriesForCAP/examples/AdditiveClosureMonoidal.g
index 040fa840c1..89210dc299 100644
--- a/FreydCategoriesForCAP/examples/AdditiveClosureMonoidal.g
+++ b/FreydCategoriesForCAP/examples/AdditiveClosureMonoidal.g
@@ -14,13 +14,13 @@ B := "B" / T;
 AT := AdditiveClosure( T );
 #! AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
 ABAA := [ A, B, A, A ] / AT;
-#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by 4 underlying objects>
 BAB := [ B, A, B ] / AT;
-#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by 3 underlying objects>
 AB := [ A, B ] / AT;
-#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <An object in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by 2 underlying objects>
 mor_AB := MorphismConstructor( A, "A -> B", B );
 #! <A zero, isomorphism in TerminalCategoryWithMultipleObjects( )>
@@ -36,51 +36,52 @@ alpha := MorphismConstructor( ABAA,
     [ mor_AB, id_A, mor_AB ],
     [ mor_AB, id_A, mor_AB ] ],
     BAB );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 4 x 3 matrix of underlying morphisms>
 IsWellDefined( alpha );
 #! true
 alpha2 := TensorProduct( alpha, alpha );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 16 x 9 matrix of underlying morphisms>
 IsWellDefined( alpha2 );
 #! true
 IsIsomorphism( alpha2 );
 #! true
 left := LeftUnitor( ABAA );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 4 x 4 matrix of underlying morphisms>
 IsWellDefined( left );
 #! true
 left_inv := LeftUnitorInverse( ABAA );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 4 x 4 matrix of underlying morphisms>
-IsOne( PreCompose( left, left_inv ) );
+PreCompose( left, left_inv ) = IdentityMorphism( Source( left ) );
 #! true
-IsOne( PreCompose( left_inv, left ) );
+PreCompose( left_inv, left ) = IdentityMorphism( Range( left ) );
 #! true
 right := RightUnitor( BAB );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 3 x 3 matrix of underlying morphisms>
 IsWellDefined( right );
 #! true
 right_inv := RightUnitorInverse( BAB );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 3 x 3 matrix of underlying morphisms>
-IsOne( PreCompose( right, right_inv ) );
+PreCompose( right, right_inv ) = IdentityMorphism( Source( right ) );
 #! true
-IsOne( PreCompose( right_inv, right ) );
+PreCompose( right_inv, right ) = IdentityMorphism( Range( right ) );
 #! true
 aslr := AssociatorLeftToRight( AB, BAB, AB );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 12 x 12 matrix of underlying morphisms>
 IsWellDefined( aslr );
 #! true
 asrl := AssociatorRightToLeft( AB, BAB, AB );
-#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )
+#! <A morphism in AdditiveClosure( TerminalCategoryWithMultipleObjects( ) )\
 #!  defined by a 12 x 12 matrix of underlying morphisms>
-IsOne( PreCompose( aslr, asrl ) );
+PreCompose( aslr, asrl ) = IdentityMorphism( Source( aslr ) );
 #! true
-IsOne( PreCompose( asrl, aslr ) );
+PreCompose( asrl, aslr ) = IdentityMorphism( Range( aslr ) );
 #! true
 #! @EndExample
+