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############################################################################
##
## elements/semiringmat.gd
## Copyright (C) 2015-2022 James D. Mitchell
##
## Licensing information can be found in the README file of this package.
##
#############################################################################
##
# This file contains declarations for matrices over semirings.
DeclareCategory("IsMatrixOverSemiring",
IsMultiplicativeElementWithInverse);
DeclareCategoryCollections("IsMatrixOverSemiring");
DeclareCategoryCollections("IsMatrixOverSemiringCollection");
DeclareRepresentation("IsPlistMatrixOverSemiringPositionalRep",
IsMatrixOverSemiring and IsPositionalObjectRep, 1);
DeclareOperation("OneMutable", [IsMatrixOverSemiringCollection]);
DeclareAttribute("OneImmutable", IsMatrixOverSemiringCollection);
# IsList rather than IsHomogeneousList to allow us to
# include the threshold and/or period.
DeclareOperation("MatrixNC", [IsType, IsList]);
DeclareOperation("MatrixNC", [IsOperation,
IsList]);
DeclareOperation("MatrixNC", [IsOperation,
IsList,
IsFunction]);
# create another matrix of the same type as the first arg using the second
# arg, and with no checks.
DeclareOperation("MatrixNC", [IsMatrixOverSemiring,
IsList]);
DeclareOperation("Matrix", [IsOperation, IsHomogeneousList]);
DeclareOperation("Matrix", [IsOperation, IsHomogeneousList, IsPosInt]);
DeclareOperation("Matrix", [IsOperation, IsHomogeneousList, IsInt, IsInt]);
DeclareOperation("Matrix", [IsSemiring, IsMatrixOverSemiring]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrixOverSemiring]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrix]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrixOverSemiring,
IsPosInt]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrixOverSemiring,
IsMatrix]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrixOverSemiring,
IsPosInt,
IsPosInt]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsTransformation,
IsPosInt]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsTransformation,
IsPosInt,
IsPosInt]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsTransformation,
IsPosInt,
IsPosInt,
IsPosInt]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsTransformation]);
DeclareConstructor("AsMatrix", [IsMatrixOverSemiring,
IsMatrixObj,
IsPosInt,
IsPosInt]);
DeclareAttribute("AsTransformation", IsMatrixOverSemiring);
DeclareOperation("RandomMatrix", [IsOperation, IsPosInt]);
DeclareOperation("RandomMatrix",
[IsOperation, IsPosInt, IsInt]);
DeclareOperation("RandomMatrix",
[IsOperation, IsPosInt, IsInt, IsInt]);
DeclareOperation("RandomMatrix", [IsSemiring, IsInt]);
DeclareOperation("RandomMatrix", [IsSemiring, IsInt, IsPosInt]);
DeclareOperation("RandomMatrix", [IsSemiring, IsInt, IsList]);
DeclareConstructor("RandomMatrixCons", [IsMatrixOverSemiring,
IsPosInt]);
DeclareConstructor("RandomMatrixCons", [IsMatrixOverSemiring,
IsPosInt,
IsPosInt]);
DeclareConstructor("RandomMatrixCons", [IsMatrixOverSemiring,
IsPosInt,
IsInt,
IsInt]);
DeclareOperation("RandomMatrixOp", [IsSemiring, IsPosInt]);
DeclareOperation("RandomMatrixOp", [IsField and IsFinite, IsPosInt, IsList]);
DeclareOperation("RandomMatrixOp", [IsField and IsFinite, IsZeroCyc, IsList]);
DeclareOperation("RandomMatrixOp", [IsField and IsFinite, IsPosInt, IsPosInt]);
DeclareAttribute("AsList", IsMatrixOverSemiring);
DeclareOperation("AsMutableList", [IsMatrixOverSemiring]);
DeclareOperation("ELM_LIST", [IsMatrixOverSemiring, IsPosInt]);
DeclareOperation("IsBound[]", [IsMatrixOverSemiring, IsPosInt]);
DeclareOperation("Iterator", [IsMatrixOverSemiring]);
DeclareAttribute("DimensionOfMatrixOverSemiring", IsMatrixOverSemiring);
DeclareAttribute("DimensionOfMatrixOverSemiringCollection",
IsMatrixOverSemiringCollection);
DeclareAttribute("TransposedMatImmutable", IsMatrixOverSemiring);
DeclareProperty("IsTorsion", IsMatrixOverSemiring);
# Cannot use TypeObj since it can contain information about
# properties satisfied (or not) by the object.
DeclareAttribute("SEMIGROUPS_TypeViewStringOfMatrixOverSemiring",
IsMatrixOverSemiring);
DeclareAttribute("SEMIGROUPS_TypeViewStringOfMatrixOverSemiring",
IsMatrixObj);
DeclareAttribute("SEMIGROUPS_FilterOfMatrixOverSemiring",
IsMatrixOverSemiring);
# Go from IsWhateverKindOfMatrix to the type.
DeclareConstructor("SEMIGROUPS_TypeOfMatrixOverSemiringCons",
[IsMatrixOverSemiring]);
DeclareConstructor("SEMIGROUPS_MatrixOverSemiringEntryCheckerCons",
[IsMatrixOverSemiring]);
DeclareConstructor("SEMIGROUPS_MatrixOverSemiringEntryCheckerCons",
[IsMatrixOverSemiring, IsPosInt]);
DeclareConstructor("SEMIGROUPS_MatrixOverSemiringEntryCheckerCons",
[IsMatrixOverSemiring, IsInt, IsInt]);
DeclareOperation("MatElm", [IsMatrixOverSemiring, IsPosInt, IsPosInt]);
DeclareAttribute("TransposedMatImmutable", IsMatrixOverSemiring);
DeclareAttribute("NumberRows", IsMatrixOverSemiring);
DeclareAttribute("NumberColumns", IsMatrixOverSemiring);
DeclareProperty("IsZero", IsMatrixOverSemiring);
[ Dauer der Verarbeitung: 0.17 Sekunden
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