[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[341696] | 4 | /* $Id$ */ |
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[35aab3] | 5 | /* |
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| 6 | * ABSTRACT: computations with GMP complex floating-point numbers |
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| 7 | * |
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| 8 | * ngc == number gnu complex |
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| 9 | */ |
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| 10 | |
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[691dba] | 11 | #include "config.h" |
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[c3d175] | 12 | |
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[2d805a] | 13 | #include <coeffs/coeffs.h> |
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| 14 | #include <coeffs/numbers.h> |
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| 15 | #include <coeffs/longrat.h> |
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| 16 | #include <coeffs/modulop.h> |
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| 17 | #include <coeffs/gnumpc.h> |
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| 18 | #include <coeffs/gnumpfl.h> |
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| 19 | #include <coeffs/mpr_complex.h> |
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[31213a4] | 20 | #include <reporter/reporter.h> |
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| 21 | #include <omalloc/omalloc.h> |
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[35aab3] | 22 | |
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| 23 | |
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[2d805a] | 24 | #include <coeffs/shortfl.h> |
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[3aae0e] | 25 | |
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[51d835] | 26 | /// Our Type! |
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| 27 | static const n_coeffType ID = n_long_C; |
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| 28 | |
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[3aae0e] | 29 | |
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[94b759] | 30 | #ifdef LDEBUG |
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| 31 | // not yet implemented |
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| 32 | BOOLEAN ngcDBTest(number a, const char *f, const int l, const coeffs r) |
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| 33 | { |
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| 34 | assume( getCoeffType(r) == ID ); |
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| 35 | |
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| 36 | return TRUE; |
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| 37 | } |
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| 38 | #endif |
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| 39 | |
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| 40 | |
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| 41 | number ngcPar(int i, const coeffs r) |
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[35aab3] | 42 | { |
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[94b759] | 43 | assume( getCoeffType(r) == ID ); |
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| 44 | |
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[35aab3] | 45 | gmp_complex* n= new gmp_complex( (long)0, (long)1 ); |
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| 46 | return (number)n; |
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| 47 | } |
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| 48 | |
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| 49 | /*2 |
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| 50 | * n := i |
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| 51 | */ |
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[7d90aa] | 52 | number ngcInit (int i, const coeffs r) |
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[35aab3] | 53 | { |
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[94b759] | 54 | assume( getCoeffType(r) == ID ); |
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| 55 | |
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[78e67e] | 56 | gmp_complex* n= new gmp_complex( (long)i, (long)0 ); |
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[94b759] | 57 | |
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[35aab3] | 58 | return (number)n; |
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| 59 | } |
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| 60 | |
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| 61 | /*2 |
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| 62 | * convert number to int |
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| 63 | */ |
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[7d90aa] | 64 | int ngcInt(number &i, const coeffs r) |
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[35aab3] | 65 | { |
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[94b759] | 66 | assume( getCoeffType(r) == ID ); |
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| 67 | |
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[35aab3] | 68 | return (int)((gmp_complex*)i)->real(); |
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| 69 | } |
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| 70 | |
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[95d8df] | 71 | int ngcSize(number n, const coeffs R) |
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[12cca3] | 72 | { |
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| 73 | int r = (int)((gmp_complex*)n)->real(); |
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| 74 | if (r < 0) r = -r; |
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| 75 | int i = (int)((gmp_complex*)n)->imag(); |
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| 76 | if (i < 0) i = -i; |
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| 77 | int oneNorm = r + i; |
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| 78 | /* basically return the 1-norm of n; |
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| 79 | only if this happens to be zero although n != 0, |
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| 80 | return 1; |
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| 81 | (this code ensures that zero has the size zero) */ |
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[95d8df] | 82 | if ((oneNorm == 0.0) & (ngcIsZero(n,R) == FALSE)) oneNorm = 1; |
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[12cca3] | 83 | return oneNorm; |
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| 84 | } |
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| 85 | |
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[35aab3] | 86 | /*2 |
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| 87 | * delete a |
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| 88 | */ |
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[7d90aa] | 89 | void ngcDelete (number * a, const coeffs r) |
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[35aab3] | 90 | { |
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[94b759] | 91 | assume( getCoeffType(r) == ID ); |
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| 92 | |
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[7c961ba] | 93 | if ( *a != NULL ) |
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| 94 | { |
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[35aab3] | 95 | delete *(gmp_complex**)a; |
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| 96 | *a=NULL; |
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| 97 | } |
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| 98 | } |
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| 99 | |
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| 100 | /*2 |
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[8cb8e1] | 101 | * copy a to b |
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[35aab3] | 102 | */ |
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[94b759] | 103 | number ngcCopy(number a, const coeffs r) |
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[35aab3] | 104 | { |
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[94b759] | 105 | assume( getCoeffType(r) == ID ); |
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| 106 | |
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[78e67e] | 107 | gmp_complex* b= new gmp_complex( *(gmp_complex*)a ); |
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[35aab3] | 108 | return (number)b; |
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| 109 | } |
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[94b759] | 110 | |
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[35aab3] | 111 | |
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| 112 | /*2 |
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| 113 | * za:= - za |
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| 114 | */ |
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[94b759] | 115 | number ngcNeg (number a, const coeffs R) |
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[35aab3] | 116 | { |
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[94b759] | 117 | assume( getCoeffType(R) == ID ); |
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| 118 | |
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[0f4db3] | 119 | gmp_complex* r=(gmp_complex*)a; |
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[95d8df] | 120 | (*r).neg(); |
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[35aab3] | 121 | return (number)a; |
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| 122 | } |
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| 123 | |
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| 124 | /* |
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| 125 | * 1/a |
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| 126 | */ |
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[94b759] | 127 | number ngcInvers(number a, const coeffs R) |
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[35aab3] | 128 | { |
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[94b759] | 129 | assume( getCoeffType(R) == ID ); |
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| 130 | |
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[b7e838] | 131 | gmp_complex* r = NULL; |
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[78e67e] | 132 | if (((gmp_complex*)a)->isZero()) |
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[35aab3] | 133 | { |
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[b7e838] | 134 | WerrorS(nDivBy0); |
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[35aab3] | 135 | } |
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| 136 | else |
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| 137 | { |
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[95d8df] | 138 | r = new gmp_complex( (gmp_complex)1 / (*(gmp_complex*)a) ); |
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[35aab3] | 139 | } |
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[95d8df] | 140 | return (number)r; |
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[35aab3] | 141 | } |
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| 142 | |
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| 143 | /*2 |
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| 144 | * u:= a + b |
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| 145 | */ |
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[94b759] | 146 | number ngcAdd (number a, number b, const coeffs R) |
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[35aab3] | 147 | { |
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[94b759] | 148 | assume( getCoeffType(R) == ID ); |
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| 149 | |
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[78e67e] | 150 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) + (*(gmp_complex*)b) ); |
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[35aab3] | 151 | return (number)r; |
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| 152 | } |
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| 153 | |
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| 154 | /*2 |
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| 155 | * u:= a - b |
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| 156 | */ |
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[8cb8e1] | 157 | number ngcSub (number a, number b, const coeffs R) |
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[35aab3] | 158 | { |
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[94b759] | 159 | assume( getCoeffType(R) == ID ); |
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| 160 | |
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[78e67e] | 161 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) - (*(gmp_complex*)b) ); |
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[35aab3] | 162 | return (number)r; |
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| 163 | } |
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| 164 | |
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| 165 | /*2 |
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| 166 | * u := a * b |
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| 167 | */ |
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[94b759] | 168 | number ngcMult (number a, number b, const coeffs R) |
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[35aab3] | 169 | { |
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[94b759] | 170 | assume( getCoeffType(R) == ID ); |
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| 171 | |
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[78e67e] | 172 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) * (*(gmp_complex*)b) ); |
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[35aab3] | 173 | return (number)r; |
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| 174 | } |
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| 175 | |
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| 176 | /*2 |
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| 177 | * u := a / b |
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| 178 | */ |
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[94b759] | 179 | number ngcDiv (number a, number b, const coeffs r) |
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[35aab3] | 180 | { |
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[94b759] | 181 | assume( getCoeffType(r) == ID ); |
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| 182 | |
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[78e67e] | 183 | if (((gmp_complex*)b)->isZero()) |
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[35aab3] | 184 | { |
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[b7e838] | 185 | // a/0 = error |
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| 186 | WerrorS(nDivBy0); |
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[35aab3] | 187 | return NULL; |
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| 188 | } |
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[94b759] | 189 | gmp_complex* res = new gmp_complex( (*(gmp_complex*)a) / (*(gmp_complex*)b) ); |
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| 190 | return (number)res; |
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[35aab3] | 191 | } |
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| 192 | |
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| 193 | /*2 |
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| 194 | * u:= x ^ exp |
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| 195 | */ |
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[94b759] | 196 | void ngcPower ( number x, int exp, number * u, const coeffs r) |
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[35aab3] | 197 | { |
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[94b759] | 198 | assume( getCoeffType(r) == ID ); |
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| 199 | |
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[35aab3] | 200 | if ( exp == 0 ) |
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| 201 | { |
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| 202 | gmp_complex* n = new gmp_complex(1); |
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| 203 | *u=(number)n; |
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| 204 | return; |
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| 205 | } |
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[5fe545] | 206 | else if ( exp == 1 ) |
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[35aab3] | 207 | { |
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[94b759] | 208 | n_New(u, r); |
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[78e67e] | 209 | gmp_complex* n = new gmp_complex(); |
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| 210 | *n= *(gmp_complex*)x; |
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| 211 | *u=(number)n; |
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[35aab3] | 212 | return; |
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| 213 | } |
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[5fe545] | 214 | else if (exp == 2) |
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| 215 | { |
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[94b759] | 216 | n_New(u, r); |
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[78e67e] | 217 | gmp_complex* n = new gmp_complex(); |
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| 218 | *n= *(gmp_complex*)x; |
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| 219 | *u=(number)n; |
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| 220 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
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[5fe545] | 221 | return; |
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| 222 | } |
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[039016] | 223 | if ( (exp & 1) == 1 ) |
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[5fe545] | 224 | { |
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[94b759] | 225 | ngcPower(x,exp-1,u, r); |
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| 226 | gmp_complex *n = new gmp_complex(); |
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[5fe545] | 227 | *n=*(gmp_complex*)x; |
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| 228 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
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| 229 | delete n; |
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| 230 | } |
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| 231 | else |
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| 232 | { |
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| 233 | number w; |
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[94b759] | 234 | n_New(&w, r); |
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| 235 | ngcPower(x,exp/2,&w, r); |
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| 236 | ngcPower(w,2,u, r); |
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| 237 | n_Delete(&w, r); |
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[5fe545] | 238 | } |
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[35aab3] | 239 | } |
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| 240 | |
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[94b759] | 241 | BOOLEAN ngcIsZero (number a, const coeffs r) |
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[35aab3] | 242 | { |
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[94b759] | 243 | assume( getCoeffType(r) == ID ); |
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| 244 | |
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[35aab3] | 245 | return ( ((gmp_complex*)a)->real().isZero() && ((gmp_complex*)a)->imag().isZero()); |
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| 246 | } |
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| 247 | |
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[94b759] | 248 | number ngcRePart(number a, const coeffs r) |
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[35aab3] | 249 | { |
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[94b759] | 250 | assume( getCoeffType(r) == ID ); |
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| 251 | |
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[35aab3] | 252 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->real()); |
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| 253 | return (number)n; |
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| 254 | } |
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| 255 | |
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[94b759] | 256 | number ngcImPart(number a, const coeffs r) |
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[35aab3] | 257 | { |
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[94b759] | 258 | assume( getCoeffType(r) == ID ); |
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| 259 | |
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[35aab3] | 260 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->imag()); |
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| 261 | return (number)n; |
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| 262 | } |
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| 263 | |
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| 264 | /*2 |
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| 265 | * za >= 0 ? |
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| 266 | */ |
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[94b759] | 267 | BOOLEAN ngcGreaterZero (number a, const coeffs r) |
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[35aab3] | 268 | { |
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[94b759] | 269 | assume( getCoeffType(r) == ID ); |
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| 270 | |
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[35aab3] | 271 | if ( ! ((gmp_complex*)a)->imag().isZero() ) |
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| 272 | return ( abs( *(gmp_complex*)a).sign() >= 0 ); |
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| 273 | else |
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| 274 | return ( ((gmp_complex*)a)->real().sign() >= 0 ); |
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| 275 | } |
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| 276 | |
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| 277 | /*2 |
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| 278 | * a > b ? |
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| 279 | */ |
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[94b759] | 280 | BOOLEAN ngcGreater (number a, number b, const coeffs r) |
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[35aab3] | 281 | { |
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[94b759] | 282 | assume( getCoeffType(r) == ID ); |
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| 283 | |
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[890d63b] | 284 | gmp_complex *aa=(gmp_complex*)a; |
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| 285 | gmp_complex *bb=(gmp_complex*)b; |
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| 286 | return (*aa) > (*bb); |
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[35aab3] | 287 | } |
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| 288 | |
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| 289 | /*2 |
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| 290 | * a = b ? |
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| 291 | */ |
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[94b759] | 292 | BOOLEAN ngcEqual (number a, number b, const coeffs r) |
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[35aab3] | 293 | { |
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[94b759] | 294 | assume( getCoeffType(r) == ID ); |
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| 295 | |
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[890d63b] | 296 | gmp_complex *aa=(gmp_complex*)a; |
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| 297 | gmp_complex *bb=(gmp_complex*)b; |
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| 298 | return (*aa) == (*bb); |
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[35aab3] | 299 | } |
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| 300 | |
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| 301 | /*2 |
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| 302 | * a == 1 ? |
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| 303 | */ |
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[94b759] | 304 | BOOLEAN ngcIsOne (number a, const coeffs r) |
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[35aab3] | 305 | { |
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[94b759] | 306 | assume( getCoeffType(r) == ID ); |
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| 307 | |
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[78e67e] | 308 | return (((gmp_complex*)a)->real().isOne() && ((gmp_complex*)a)->imag().isZero()); |
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| 309 | //return (((gmp_complex*)a)->real().isOne()); |
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[35aab3] | 310 | } |
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| 311 | |
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| 312 | /*2 |
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| 313 | * a == -1 ? |
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| 314 | */ |
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[94b759] | 315 | BOOLEAN ngcIsMOne (number a, const coeffs r) |
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[35aab3] | 316 | { |
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[94b759] | 317 | assume( getCoeffType(r) == ID ); |
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| 318 | |
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[78e67e] | 319 | return (((gmp_complex*)a)->real().isMOne() && ((gmp_complex*)a)->imag().isZero()); |
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| 320 | //return (((gmp_complex*)a)->real().isMOne()); |
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[35aab3] | 321 | } |
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| 322 | |
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| 323 | /*2 |
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| 324 | * extracts the number a from s, returns the rest |
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| 325 | */ |
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[94b759] | 326 | const char * ngcRead (const char * s, number * a, const coeffs r) |
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[35aab3] | 327 | { |
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[94b759] | 328 | assume( getCoeffType(r) == ID ); |
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[4c6e420] | 329 | assume( r->compex_parameter != NULL ); |
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[35aab3] | 330 | if ((*s >= '0') && (*s <= '9')) |
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| 331 | { |
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| 332 | gmp_float *re=NULL; |
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[94b759] | 333 | s=ngfRead(s,(number *)&re, r); |
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[35aab3] | 334 | gmp_complex *aa=new gmp_complex(*re); |
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| 335 | *a=(number)aa; |
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| 336 | delete re; |
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| 337 | } |
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[4c6e420] | 338 | else if (strncmp(s, r->compex_parameter,strlen(r->compex_parameter))==0) |
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[35aab3] | 339 | { |
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[4c6e420] | 340 | s+=strlen(r->compex_parameter); |
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[35aab3] | 341 | gmp_complex *aa=new gmp_complex((long)0,(long)1); |
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| 342 | *a=(number)aa; |
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| 343 | } |
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| 344 | else |
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| 345 | { |
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| 346 | *a=(number) new gmp_complex((long)1); |
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| 347 | } |
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| 348 | return s; |
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| 349 | } |
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| 350 | |
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[94b759] | 351 | |
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| 352 | |
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[35aab3] | 353 | /*2 |
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| 354 | * write a floating point number |
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| 355 | */ |
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[7d90aa] | 356 | void ngcWrite (number &a, const coeffs r) |
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[35aab3] | 357 | { |
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[94b759] | 358 | assume( getCoeffType(r) == ID ); |
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| 359 | |
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| 360 | extern size_t gmp_output_digits; /// comes from mpr_complex.cc |
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| 361 | |
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[35aab3] | 362 | if (a==NULL) |
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[e53182] | 363 | StringAppendS("0"); |
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[35aab3] | 364 | else |
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| 365 | { |
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| 366 | char *out; |
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[ac5686] | 367 | out= complexToStr(*(gmp_complex*)a, gmp_output_digits, r); |
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[e53182] | 368 | StringAppendS(out); |
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[7d90aa] | 369 | // omFreeSize((void *)out, (strlen(out)+1)* sizeof(char) ); |
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| 370 | omFree( (void *)out ); |
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[35aab3] | 371 | } |
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| 372 | } |
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| 373 | |
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[51d835] | 374 | |
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| 375 | |
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[039016] | 376 | /// test, whether r is an instance of nInitCoeffs(n, parameter) |
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[2b957a] | 377 | static BOOLEAN ngcCoeffsEqual(const coeffs r, n_coeffType n, void*) |
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[51d835] | 378 | { |
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| 379 | assume( getCoeffType(r) == ID ); |
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| 380 | |
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| 381 | return (n == ID); |
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[039016] | 382 | } |
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[51d835] | 383 | |
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[4c6e420] | 384 | BOOLEAN ngcInitChar(coeffs n, void* p) |
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[51d835] | 385 | { |
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| 386 | assume( getCoeffType(n) == ID ); |
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| 387 | |
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| 388 | n->cfDelete = ngcDelete; |
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[7bbbef] | 389 | n->cfNormalize=ndNormalize; |
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[51d835] | 390 | n->cfInit = ngcInit; |
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[7bbbef] | 391 | n->cfInt = ngcInt; |
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| 392 | n->cfAdd = ngcAdd; |
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| 393 | n->cfSub = ngcSub; |
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| 394 | n->cfMult = ngcMult; |
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| 395 | n->cfDiv = ngcDiv; |
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| 396 | n->cfExactDiv= ngcDiv; |
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| 397 | n->cfNeg = ngcNeg; |
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| 398 | n->cfInvers = ngcInvers; |
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[51d835] | 399 | n->cfCopy = ngcCopy; |
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[7bbbef] | 400 | n->cfGreater = ngcGreater; |
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| 401 | n->cfEqual = ngcEqual; |
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| 402 | n->cfIsZero = ngcIsZero; |
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| 403 | n->cfIsOne = ngcIsOne; |
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| 404 | n->cfIsMOne = ngcIsMOne; |
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| 405 | n->cfGreaterZero = ngcGreaterZero; |
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[51d835] | 406 | n->cfWrite = ngcWrite; |
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[7bbbef] | 407 | n->cfRead = ngcRead; |
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| 408 | n->cfPower = ngcPower; |
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[51d835] | 409 | n->cfSetMap = ngcSetMap; |
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[7bbbef] | 410 | n->cfPar = ngcPar; |
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| 411 | n->cfRePart = ngcRePart; |
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| 412 | n->cfImPart = ngcImPart; |
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[7a8011] | 413 | n->cfCoeffWrite = ngcCoeffWrite; |
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[7bbbef] | 414 | // cfSize = ndSize; |
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[51d835] | 415 | #ifdef LDEBUG |
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[7bbbef] | 416 | n->cfDBTest = ndDBTest; // not yet implemented: ngcDBTest |
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[51d835] | 417 | #endif |
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| 418 | |
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[039016] | 419 | n->nCoeffIsEqual = ngcCoeffsEqual; |
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| 420 | |
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[51d835] | 421 | |
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| 422 | |
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| 423 | /* |
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| 424 | //r->cfInitChar=nlInitChar; |
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| 425 | r->cfKillChar=NULL; |
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| 426 | r->cfSetChar=NULL; |
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| 427 | r->nCoeffIsEqual=nlCoeffsEqual; |
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| 428 | |
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[7bbbef] | 429 | r->cfMult = nlMult; |
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| 430 | r->cfSub = nlSub; |
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| 431 | r->cfAdd = nlAdd; |
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| 432 | r->cfDiv = nlDiv; |
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| 433 | r->cfIntDiv= nlIntDiv; |
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| 434 | r->cfIntMod= nlIntMod; |
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| 435 | r->cfExactDiv= nlExactDiv; |
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[51d835] | 436 | r->cfInit = nlInit; |
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[7bbbef] | 437 | r->cfPar = ndPar; |
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| 438 | r->cfParDeg = ndParDeg; |
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| 439 | r->cfSize = nlSize; |
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| 440 | r->cfInt = nlInt; |
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[51d835] | 441 | #ifdef HAVE_RINGS |
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[7bbbef] | 442 | r->cfDivComp = NULL; // only for ring stuff |
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| 443 | r->cfIsUnit = NULL; // only for ring stuff |
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| 444 | r->cfGetUnit = NULL; // only for ring stuff |
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| 445 | r->cfExtGcd = NULL; // only for ring stuff |
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[51d835] | 446 | #endif |
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[7bbbef] | 447 | r->cfNeg = nlNeg; |
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| 448 | r->cfInvers= nlInvers; |
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[51d835] | 449 | r->cfCopy = nl_Copy; |
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[7bbbef] | 450 | r->cfRePart = nl_Copy; |
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| 451 | r->cfImPart = ndReturn0; |
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[51d835] | 452 | r->cfWrite = nlWrite; |
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[7bbbef] | 453 | r->cfRead = nlRead; |
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| 454 | r->cfNormalize=nlNormalize; |
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| 455 | r->cfGreater = nlGreater; |
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[51d835] | 456 | #ifdef HAVE_RINGS |
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[7bbbef] | 457 | r->cfDivBy = NULL; // only for ring stuff |
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[51d835] | 458 | #endif |
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[7bbbef] | 459 | r->cfEqual = nlEqual; |
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| 460 | r->cfIsZero = nlIsZero; |
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| 461 | r->cfIsOne = nlIsOne; |
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| 462 | r->cfIsMOne = nlIsMOne; |
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| 463 | r->cfGreaterZero = nlGreaterZero; |
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| 464 | r->cfPower = nlPower; |
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[51d835] | 465 | r->cfGetDenom = nlGetDenom; |
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| 466 | r->cfGetNumerator = nlGetNumerator; |
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[7bbbef] | 467 | r->cfGcd = nlGcd; |
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| 468 | r->cfLcm = nlLcm; |
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[51d835] | 469 | r->cfDelete= nlDelete; |
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| 470 | r->cfSetMap = nlSetMap; |
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[7bbbef] | 471 | r->cfName = ndName; |
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| 472 | r->cfInpMult=nlInpMult; |
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| 473 | r->cfInit_bigint=nlCopyMap; |
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[51d835] | 474 | #ifdef LDEBUG |
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| 475 | // debug stuff |
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[7bbbef] | 476 | r->cfDBTest=nlDBTest; |
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[51d835] | 477 | #endif |
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| 478 | |
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| 479 | // the variables: |
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| 480 | r->nNULL = INT_TO_SR(0); |
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| 481 | r->type = n_Q; |
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| 482 | r->ch = 0; |
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| 483 | r->has_simple_Alloc=FALSE; |
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| 484 | r->has_simple_Inverse=FALSE; |
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| 485 | */ |
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| 486 | |
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| 487 | /// TODO: Any variables? |
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[4c6e420] | 488 | if( p == NULL ) |
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| 489 | n->compex_parameter = "i"; //?? |
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| 490 | else |
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| 491 | n->compex_parameter = omStrDup( (char*) p ); |
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| 492 | |
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[5d594a9] | 493 | return FALSE; |
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[51d835] | 494 | } |
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| 495 | |
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| 496 | |
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| 497 | |
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| 498 | |
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| 499 | |
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| 500 | number ngcMapQ(number from, const coeffs aRing, const coeffs r) |
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| 501 | { |
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| 502 | assume( getCoeffType(r) == ID ); |
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| 503 | assume( getCoeffType(aRing) == n_Q ); |
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| 504 | |
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| 505 | if ( from != NULL ) |
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| 506 | { |
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| 507 | gmp_complex *res=new gmp_complex(numberFieldToFloat(from,QTOF,aRing)); |
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| 508 | return (number)res; |
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| 509 | } |
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| 510 | else |
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| 511 | return NULL; |
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| 512 | } |
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| 513 | |
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| 514 | static number ngcMapLongR(number from, const coeffs aRing, const coeffs r) |
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| 515 | { |
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| 516 | assume( getCoeffType(r) == ID ); |
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| 517 | assume( getCoeffType(aRing) == n_long_R ); |
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| 518 | |
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| 519 | if ( from != NULL ) |
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| 520 | { |
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| 521 | gmp_complex *res=new gmp_complex(*((gmp_float *)from)); |
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| 522 | return (number)res; |
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| 523 | } |
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| 524 | else |
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| 525 | return NULL; |
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| 526 | } |
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| 527 | |
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| 528 | static number ngcMapR(number from, const coeffs aRing, const coeffs r) |
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| 529 | { |
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| 530 | assume( getCoeffType(r) == ID ); |
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| 531 | assume( getCoeffType(aRing) == n_R ); |
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| 532 | |
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| 533 | if ( from != NULL ) |
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| 534 | { |
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| 535 | gmp_complex *res=new gmp_complex((double)nrFloat(from)); |
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| 536 | return (number)res; |
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| 537 | } |
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| 538 | else |
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| 539 | return NULL; |
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| 540 | } |
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| 541 | |
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| 542 | static number ngcMapP(number from, const coeffs aRing, const coeffs r) |
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| 543 | { |
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| 544 | assume( getCoeffType(r) == ID ); |
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| 545 | assume( getCoeffType(aRing) == n_Zp ); |
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| 546 | |
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[210852] | 547 | if ( from != NULL ) |
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[51d835] | 548 | return ngcInit(npInt(from, aRing), r); |
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| 549 | else |
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| 550 | return NULL; |
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| 551 | } |
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| 552 | |
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| 553 | static number ngcCopyMap(number from, const coeffs aRing, const coeffs r) |
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| 554 | { |
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| 555 | assume( getCoeffType(r) == ID ); |
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| 556 | assume( getCoeffType(aRing) == ID ); |
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| 557 | |
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| 558 | gmp_complex* b = NULL; |
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| 559 | |
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| 560 | if ( from != NULL ) |
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| 561 | { |
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| 562 | b = new gmp_complex( *(gmp_complex*)from ); |
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| 563 | } |
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| 564 | return (number)b; |
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| 565 | } |
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| 566 | |
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| 567 | nMapFunc ngcSetMap(const coeffs src, const coeffs dst) |
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| 568 | { |
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| 569 | assume( getCoeffType(dst) == ID ); |
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| 570 | |
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[1cce47] | 571 | if (nCoeff_is_Q(src)) |
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[51d835] | 572 | { |
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| 573 | return ngcMapQ; |
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| 574 | } |
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[1cce47] | 575 | if (nCoeff_is_long_R(src)) |
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[51d835] | 576 | { |
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| 577 | return ngcMapLongR; |
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| 578 | } |
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[1cce47] | 579 | if (nCoeff_is_long_C(src)) |
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[51d835] | 580 | { |
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| 581 | return ngcCopyMap; |
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| 582 | } |
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[1cce47] | 583 | if (nCoeff_is_R(src)) |
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[51d835] | 584 | { |
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| 585 | return ngcMapR; |
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| 586 | } |
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[1cce47] | 587 | if (nCoeff_is_Zp(src)) |
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[51d835] | 588 | { |
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| 589 | return ngcMapP; |
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| 590 | } |
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| 591 | return NULL; |
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| 592 | } |
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| 593 | |
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[7a8011] | 594 | void ngcCoeffWrite (const coeffs r) |
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| 595 | { |
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| 596 | Print("// characteristic : 0 (complex:%d digits, additional %d digits)\n", |
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| 597 | r->float_len, r->float_len2); /* long C */ |
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| 598 | } |
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