| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/GAP/pkg/ringsforhomalg/tst/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 16.10.2024 mit Größe 16 kB |
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Quelle convert.tst Sprache: unbekannt |
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Spracherkennung für: .tst vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen] #@exec LoadPackage( "RingsForHomalg", false );
#@exec LoadPackage( "IO_ForHomalg", false ); gap> HOMALG_IO.show_banners := false;; gap> HOMALG_IO.suppress_PID := true;; gap> ReadPackage( "RingsForHomalg", "examples/homalg.g" );; gap> LoadPackage( "HomalgToCAS", false ); true gap> b := true;; gap> nr := NumberRows( imat ); 5 gap> nc := NumberColumns( imat ); 4 ## ## GAP -> GAP (Gauss Q) ## gap> S := HomalgFieldOfRationals( ); Q gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Q <An internal ring> ConvertHomalgMatrixViaListListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ## ## GAP -> GAP (Gauss GF(32003)) ## gap> S := HomalgRingOfIntegers( 32003 ); GF(32003) gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := GF(32003) <An internal ring> ConvertHomalgMatrixViaListListString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ## ## GAP -> GAP (Gauss Z/2^15) ## gap> S := HomalgRingOfIntegers( 2^15 ); Z/32768Z gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Z/32768Z <An internal ring> ConvertHomalgMatrixViaListListString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: 262 33 75 40 682 86 196 104 1186 151 341 180 1932 248 556 292 1018 127 293 156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ## ## GAP -> GAP ## gap> S := HomalgRingOfIntegers( ) / 32003; Z/( 32003 ) gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Z/( 32003 ) <A residue class ring> ConvertHomalgMatrixViaListListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] modulo [ 32003 ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] modulo [ 32003 ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] modulo [ 32003 ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] modulo [ 32003 ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] gap> LoadPackage( "RingsForHomalg", false ); true gap> LoadPackage( "IO_ForHomalg", false ); true ## ## GAP <-> External GAP ## gap> S := HomalgRingOfIntegersInExternalGAP( ); Z gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Z <An external ring residing in the CAS GAP> ConvertHomalgMatrixViaListListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ## ## GAP <-> Maple ## #@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_Maple ).stdout ) gap> S := HomalgRingOfIntegersInMaple( ); Z gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Z <An external ring residing in the CAS Maple> ConvertHomalgMatrixViaListListString: [ 262 33 75 40] [ ] [ 682 86 196 104] [ ] [1186 151 341 180] [ ] [1932 248 556 292] [ ] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: [ 262 33 75 40] [ ] [ 682 86 196 104] [ ] [1186 151 341 180] [ ] [1932 248 556 292] [ ] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: [ 262 33 75 40] [ ] [ 682 86 196 104] [ ] [1186 151 341 180] [ ] [1932 248 556 292] [ ] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: [ 262 33 75 40] [ ] [ 682 86 196 104] [ ] [1186 151 341 180] [ ] [1932 248 556 292] [ ] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] #@fi ## ## GAP <-> Sage, Sage 9.0: the interface is broken ## #@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_Sage ).stdout ) gap> #S := HomalgRingOfIntegersInSage( ); gap> #ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; #@fi ## ## GAP <-> MAGMA ## #@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_MAGMA ).stdout ) gap> S := HomalgRingOfIntegersInMAGMA( ); Z gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Z <An external ring residing in the CAS MAGMA> ConvertHomalgMatrixViaListListString: [ 262 33 75 40] [ 682 86 196 104] [1186 151 341 180] [1932 248 556 292] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: [ 262 33 75 40] [ 682 86 196 104] [1186 151 341 180] [1932 248 556 292] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: [ 262 33 75 40] [ 682 86 196 104] [1186 151 341 180] [1932 248 556 292] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: [ 262 33 75 40] [ 682 86 196 104] [1186 151 341 180] [1932 248 556 292] [1018 127 293 156] and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] #@fi ## ## GAP <-> Singular ## #@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_Singular ).stdout ) gap> S := HomalgFieldOfRationalsInSingular( ); Q gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Q <An external ring residing in the CAS Singular> ConvertHomalgMatrixViaListListString: 262, 33, 75, 40, 682, 86, 196,104, 1186,151,341,180, 1932,248,556,292, 1018,127,293,156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: 262, 33, 75, 40, 682, 86, 196,104, 1186,151,341,180, 1932,248,556,292, 1018,127,293,156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: 262, 33, 75, 40, 682, 86, 196,104, 1186,151,341,180, 1932,248,556,292, 1018,127,293,156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: 262, 33, 75, 40, 682, 86, 196,104, 1186,151,341,180, 1932,248,556,292, 1018,127,293,156 and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] #@fi ## ## GAP <-> Macaulay2 ## #@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_Macaulay2 ).stdout ) gap> S := HomalgFieldOfRationalsInMacaulay2( ); Q gap> ReadPackage( "RingsForHomalg", "examples/convert_test.g" );; S := Q <An external ring residing in the CAS Macaulay2> ConvertHomalgMatrixViaListListString: | 262 33 75 40 | | 682 86 196 104 | | 1186 151 341 180 | | 1932 248 556 292 | | 1018 127 293 156 | 5 4 o64 : Matrix QQ <--- QQ and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaListString: | 262 33 75 40 | | 682 86 196 104 | | 1186 151 341 180 | | 1932 248 556 292 | | 1018 127 293 156 | 5 4 o108 : Matrix QQ <--- QQ and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaSparseString: | 262 33 75 40 | | 682 86 196 104 | | 1186 151 341 180 | | 1932 248 556 292 | | 1018 127 293 156 | 5 4 o192 : Matrix QQ <--- QQ and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] ConvertHomalgMatrixViaFile: | 262 33 75 40 | | 682 86 196 104 | | 1186 151 341 180 | | 1932 248 556 292 | | 1018 127 293 156 | 5 4 o316 : Matrix QQ <--- QQ and back: [ [ 262, 33, 75, 40 ], [ 682, 86, 196, 104 ], [ 1186, 151, 341, 180 ], [ 1932, 248, 556, 292 ], [ 1018, 127, 293, 156 ] ] #@fi ## ## result: ## gap> b; true [ Dauer der Verarbeitung: 0.41 Sekunden ] |
2026-04-02