[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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[9bb5457] | 32 | BOOLEAN ngcDBTest(number, const char *, const int, const coeffs r) |
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[94b759] | 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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[121fd9] | 44 | assume(i==1); |
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[94b759] | 45 | |
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[35aab3] | 46 | gmp_complex* n= new gmp_complex( (long)0, (long)1 ); |
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| 47 | return (number)n; |
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| 48 | } |
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| 49 | |
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| 50 | /*2 |
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| 51 | * n := i |
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| 52 | */ |
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[7d90aa] | 53 | number ngcInit (int i, const coeffs r) |
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[35aab3] | 54 | { |
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[94b759] | 55 | assume( getCoeffType(r) == ID ); |
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[9bb5457] | 56 | |
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[78e67e] | 57 | gmp_complex* n= new gmp_complex( (long)i, (long)0 ); |
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[9bb5457] | 58 | |
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[35aab3] | 59 | return (number)n; |
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| 60 | } |
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| 61 | |
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| 62 | /*2 |
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| 63 | * convert number to int |
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| 64 | */ |
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[7d90aa] | 65 | int ngcInt(number &i, const coeffs r) |
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[35aab3] | 66 | { |
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[94b759] | 67 | assume( getCoeffType(r) == ID ); |
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[9bb5457] | 68 | |
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[35aab3] | 69 | return (int)((gmp_complex*)i)->real(); |
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| 70 | } |
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| 71 | |
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[95d8df] | 72 | int ngcSize(number n, const coeffs R) |
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[12cca3] | 73 | { |
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| 74 | int r = (int)((gmp_complex*)n)->real(); |
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| 75 | if (r < 0) r = -r; |
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| 76 | int i = (int)((gmp_complex*)n)->imag(); |
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| 77 | if (i < 0) i = -i; |
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| 78 | int oneNorm = r + i; |
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| 79 | /* basically return the 1-norm of n; |
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| 80 | only if this happens to be zero although n != 0, |
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| 81 | return 1; |
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| 82 | (this code ensures that zero has the size zero) */ |
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[95d8df] | 83 | if ((oneNorm == 0.0) & (ngcIsZero(n,R) == FALSE)) oneNorm = 1; |
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[12cca3] | 84 | return oneNorm; |
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| 85 | } |
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| 86 | |
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[35aab3] | 87 | /*2 |
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| 88 | * delete a |
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| 89 | */ |
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[7d90aa] | 90 | void ngcDelete (number * a, const coeffs r) |
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[35aab3] | 91 | { |
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[94b759] | 92 | assume( getCoeffType(r) == ID ); |
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| 93 | |
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[7c961ba] | 94 | if ( *a != NULL ) |
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| 95 | { |
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[35aab3] | 96 | delete *(gmp_complex**)a; |
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| 97 | *a=NULL; |
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| 98 | } |
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| 99 | } |
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| 100 | |
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| 101 | /*2 |
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[8cb8e1] | 102 | * copy a to b |
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[35aab3] | 103 | */ |
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[94b759] | 104 | number ngcCopy(number a, const coeffs r) |
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[35aab3] | 105 | { |
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[94b759] | 106 | assume( getCoeffType(r) == ID ); |
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[9bb5457] | 107 | |
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[78e67e] | 108 | gmp_complex* b= new gmp_complex( *(gmp_complex*)a ); |
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[35aab3] | 109 | return (number)b; |
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| 110 | } |
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[94b759] | 111 | |
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[35aab3] | 112 | |
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| 113 | /*2 |
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| 114 | * za:= - za |
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| 115 | */ |
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[94b759] | 116 | number ngcNeg (number a, const coeffs R) |
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[35aab3] | 117 | { |
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[94b759] | 118 | assume( getCoeffType(R) == ID ); |
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| 119 | |
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[0f4db3] | 120 | gmp_complex* r=(gmp_complex*)a; |
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[95d8df] | 121 | (*r).neg(); |
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[35aab3] | 122 | return (number)a; |
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| 123 | } |
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| 124 | |
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| 125 | /* |
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| 126 | * 1/a |
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| 127 | */ |
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[94b759] | 128 | number ngcInvers(number a, const coeffs R) |
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[35aab3] | 129 | { |
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[94b759] | 130 | assume( getCoeffType(R) == ID ); |
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| 131 | |
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[b7e838] | 132 | gmp_complex* r = NULL; |
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[78e67e] | 133 | if (((gmp_complex*)a)->isZero()) |
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[35aab3] | 134 | { |
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[b7e838] | 135 | WerrorS(nDivBy0); |
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[35aab3] | 136 | } |
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| 137 | else |
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| 138 | { |
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[95d8df] | 139 | r = new gmp_complex( (gmp_complex)1 / (*(gmp_complex*)a) ); |
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[35aab3] | 140 | } |
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[95d8df] | 141 | return (number)r; |
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[35aab3] | 142 | } |
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| 143 | |
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| 144 | /*2 |
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| 145 | * u:= a + b |
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| 146 | */ |
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[94b759] | 147 | number ngcAdd (number a, number b, const coeffs R) |
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[35aab3] | 148 | { |
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[94b759] | 149 | assume( getCoeffType(R) == ID ); |
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| 150 | |
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[78e67e] | 151 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) + (*(gmp_complex*)b) ); |
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[35aab3] | 152 | return (number)r; |
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| 153 | } |
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| 154 | |
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| 155 | /*2 |
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| 156 | * u:= a - b |
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| 157 | */ |
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[8cb8e1] | 158 | number ngcSub (number a, number b, const coeffs R) |
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[35aab3] | 159 | { |
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[94b759] | 160 | assume( getCoeffType(R) == ID ); |
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| 161 | |
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[78e67e] | 162 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) - (*(gmp_complex*)b) ); |
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[35aab3] | 163 | return (number)r; |
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| 164 | } |
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| 165 | |
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| 166 | /*2 |
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| 167 | * u := a * b |
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| 168 | */ |
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[94b759] | 169 | number ngcMult (number a, number b, const coeffs R) |
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[35aab3] | 170 | { |
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[94b759] | 171 | assume( getCoeffType(R) == ID ); |
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[9bb5457] | 172 | |
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[78e67e] | 173 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) * (*(gmp_complex*)b) ); |
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[35aab3] | 174 | return (number)r; |
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| 175 | } |
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| 176 | |
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| 177 | /*2 |
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| 178 | * u := a / b |
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| 179 | */ |
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[94b759] | 180 | number ngcDiv (number a, number b, const coeffs r) |
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[35aab3] | 181 | { |
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[94b759] | 182 | assume( getCoeffType(r) == ID ); |
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| 183 | |
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[78e67e] | 184 | if (((gmp_complex*)b)->isZero()) |
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[35aab3] | 185 | { |
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[b7e838] | 186 | // a/0 = error |
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| 187 | WerrorS(nDivBy0); |
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[35aab3] | 188 | return NULL; |
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| 189 | } |
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[94b759] | 190 | gmp_complex* res = new gmp_complex( (*(gmp_complex*)a) / (*(gmp_complex*)b) ); |
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| 191 | return (number)res; |
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[35aab3] | 192 | } |
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| 193 | |
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| 194 | /*2 |
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| 195 | * u:= x ^ exp |
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| 196 | */ |
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[94b759] | 197 | void ngcPower ( number x, int exp, number * u, const coeffs r) |
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[35aab3] | 198 | { |
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[94b759] | 199 | assume( getCoeffType(r) == ID ); |
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| 200 | |
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[35aab3] | 201 | if ( exp == 0 ) |
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| 202 | { |
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| 203 | gmp_complex* n = new gmp_complex(1); |
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| 204 | *u=(number)n; |
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| 205 | return; |
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| 206 | } |
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[5fe545] | 207 | else if ( exp == 1 ) |
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[35aab3] | 208 | { |
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[94b759] | 209 | n_New(u, r); |
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[78e67e] | 210 | gmp_complex* n = new gmp_complex(); |
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| 211 | *n= *(gmp_complex*)x; |
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| 212 | *u=(number)n; |
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[35aab3] | 213 | return; |
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| 214 | } |
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[5fe545] | 215 | else if (exp == 2) |
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| 216 | { |
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[94b759] | 217 | n_New(u, r); |
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[78e67e] | 218 | gmp_complex* n = new gmp_complex(); |
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| 219 | *n= *(gmp_complex*)x; |
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| 220 | *u=(number)n; |
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| 221 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
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[5fe545] | 222 | return; |
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| 223 | } |
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[039016] | 224 | if ( (exp & 1) == 1 ) |
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[5fe545] | 225 | { |
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[94b759] | 226 | ngcPower(x,exp-1,u, r); |
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| 227 | gmp_complex *n = new gmp_complex(); |
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[5fe545] | 228 | *n=*(gmp_complex*)x; |
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| 229 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
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| 230 | delete n; |
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| 231 | } |
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| 232 | else |
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| 233 | { |
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| 234 | number w; |
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[94b759] | 235 | n_New(&w, r); |
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| 236 | ngcPower(x,exp/2,&w, r); |
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| 237 | ngcPower(w,2,u, r); |
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| 238 | n_Delete(&w, r); |
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[5fe545] | 239 | } |
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[35aab3] | 240 | } |
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| 241 | |
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[94b759] | 242 | BOOLEAN ngcIsZero (number a, const coeffs r) |
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[35aab3] | 243 | { |
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[94b759] | 244 | assume( getCoeffType(r) == ID ); |
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| 245 | |
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[35aab3] | 246 | return ( ((gmp_complex*)a)->real().isZero() && ((gmp_complex*)a)->imag().isZero()); |
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| 247 | } |
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| 248 | |
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[94b759] | 249 | number ngcRePart(number a, const coeffs r) |
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[35aab3] | 250 | { |
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[94b759] | 251 | assume( getCoeffType(r) == ID ); |
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| 252 | |
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[35aab3] | 253 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->real()); |
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| 254 | return (number)n; |
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| 255 | } |
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| 256 | |
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[94b759] | 257 | number ngcImPart(number a, const coeffs r) |
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[35aab3] | 258 | { |
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[94b759] | 259 | assume( getCoeffType(r) == ID ); |
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| 260 | |
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[35aab3] | 261 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->imag()); |
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| 262 | return (number)n; |
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| 263 | } |
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| 264 | |
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| 265 | /*2 |
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| 266 | * za >= 0 ? |
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| 267 | */ |
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[94b759] | 268 | BOOLEAN ngcGreaterZero (number a, const coeffs r) |
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[35aab3] | 269 | { |
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[94b759] | 270 | assume( getCoeffType(r) == ID ); |
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| 271 | |
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[35aab3] | 272 | if ( ! ((gmp_complex*)a)->imag().isZero() ) |
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| 273 | return ( abs( *(gmp_complex*)a).sign() >= 0 ); |
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| 274 | else |
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| 275 | return ( ((gmp_complex*)a)->real().sign() >= 0 ); |
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| 276 | } |
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| 277 | |
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| 278 | /*2 |
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| 279 | * a > b ? |
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| 280 | */ |
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[94b759] | 281 | BOOLEAN ngcGreater (number a, number b, const coeffs r) |
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[35aab3] | 282 | { |
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[94b759] | 283 | assume( getCoeffType(r) == ID ); |
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| 284 | |
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[890d63b] | 285 | gmp_complex *aa=(gmp_complex*)a; |
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| 286 | gmp_complex *bb=(gmp_complex*)b; |
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| 287 | return (*aa) > (*bb); |
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[35aab3] | 288 | } |
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| 289 | |
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| 290 | /*2 |
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| 291 | * a = b ? |
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| 292 | */ |
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[94b759] | 293 | BOOLEAN ngcEqual (number a, number b, const coeffs r) |
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[35aab3] | 294 | { |
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[94b759] | 295 | assume( getCoeffType(r) == ID ); |
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| 296 | |
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[890d63b] | 297 | gmp_complex *aa=(gmp_complex*)a; |
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| 298 | gmp_complex *bb=(gmp_complex*)b; |
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| 299 | return (*aa) == (*bb); |
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[35aab3] | 300 | } |
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| 301 | |
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| 302 | /*2 |
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| 303 | * a == 1 ? |
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| 304 | */ |
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[94b759] | 305 | BOOLEAN ngcIsOne (number a, const coeffs r) |
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[35aab3] | 306 | { |
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[94b759] | 307 | assume( getCoeffType(r) == ID ); |
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| 308 | |
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[78e67e] | 309 | return (((gmp_complex*)a)->real().isOne() && ((gmp_complex*)a)->imag().isZero()); |
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| 310 | //return (((gmp_complex*)a)->real().isOne()); |
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[35aab3] | 311 | } |
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| 312 | |
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| 313 | /*2 |
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| 314 | * a == -1 ? |
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| 315 | */ |
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[94b759] | 316 | BOOLEAN ngcIsMOne (number a, const coeffs r) |
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[35aab3] | 317 | { |
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[94b759] | 318 | assume( getCoeffType(r) == ID ); |
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| 319 | |
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[78e67e] | 320 | return (((gmp_complex*)a)->real().isMOne() && ((gmp_complex*)a)->imag().isZero()); |
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| 321 | //return (((gmp_complex*)a)->real().isMOne()); |
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[35aab3] | 322 | } |
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| 323 | |
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| 324 | /*2 |
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| 325 | * extracts the number a from s, returns the rest |
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| 326 | */ |
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[94b759] | 327 | const char * ngcRead (const char * s, number * a, const coeffs r) |
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[35aab3] | 328 | { |
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[94b759] | 329 | assume( getCoeffType(r) == ID ); |
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[bfa04e] | 330 | assume( r->complex_parameter != NULL ); |
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| 331 | |
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[35aab3] | 332 | if ((*s >= '0') && (*s <= '9')) |
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| 333 | { |
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| 334 | gmp_float *re=NULL; |
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[94b759] | 335 | s=ngfRead(s,(number *)&re, r); |
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[35aab3] | 336 | gmp_complex *aa=new gmp_complex(*re); |
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| 337 | *a=(number)aa; |
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| 338 | delete re; |
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| 339 | } |
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[bfa04e] | 340 | else if (strncmp(s, r->complex_parameter,strlen(r->complex_parameter))==0) |
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[35aab3] | 341 | { |
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[bfa04e] | 342 | s+=strlen(r->complex_parameter); |
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[35aab3] | 343 | gmp_complex *aa=new gmp_complex((long)0,(long)1); |
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| 344 | *a=(number)aa; |
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| 345 | } |
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| 346 | else |
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| 347 | { |
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| 348 | *a=(number) new gmp_complex((long)1); |
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| 349 | } |
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| 350 | return s; |
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| 351 | } |
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| 352 | |
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[94b759] | 353 | |
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| 354 | |
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[35aab3] | 355 | /*2 |
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| 356 | * write a floating point number |
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| 357 | */ |
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[7d90aa] | 358 | void ngcWrite (number &a, const coeffs r) |
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[35aab3] | 359 | { |
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[94b759] | 360 | assume( getCoeffType(r) == ID ); |
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| 361 | |
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| 362 | extern size_t gmp_output_digits; /// comes from mpr_complex.cc |
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| 363 | |
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[35aab3] | 364 | if (a==NULL) |
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[e53182] | 365 | StringAppendS("0"); |
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[35aab3] | 366 | else |
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| 367 | { |
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| 368 | char *out; |
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[ac5686] | 369 | out= complexToStr(*(gmp_complex*)a, gmp_output_digits, r); |
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[e53182] | 370 | StringAppendS(out); |
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[7d90aa] | 371 | // omFreeSize((void *)out, (strlen(out)+1)* sizeof(char) ); |
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| 372 | omFree( (void *)out ); |
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[35aab3] | 373 | } |
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| 374 | } |
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| 375 | |
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[4c6e420] | 376 | BOOLEAN ngcInitChar(coeffs n, void* p) |
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[51d835] | 377 | { |
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| 378 | assume( getCoeffType(n) == ID ); |
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[2544e7] | 379 | n->cfKillChar = ndKillChar; /* dummy */ |
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[73a9ffb] | 380 | n->ch = 0; |
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[51d835] | 381 | |
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| 382 | n->cfDelete = ngcDelete; |
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[7bbbef] | 383 | n->cfNormalize=ndNormalize; |
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[51d835] | 384 | n->cfInit = ngcInit; |
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[7bbbef] | 385 | n->cfInt = ngcInt; |
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| 386 | n->cfAdd = ngcAdd; |
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| 387 | n->cfSub = ngcSub; |
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| 388 | n->cfMult = ngcMult; |
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| 389 | n->cfDiv = ngcDiv; |
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| 390 | n->cfExactDiv= ngcDiv; |
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| 391 | n->cfNeg = ngcNeg; |
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| 392 | n->cfInvers = ngcInvers; |
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[51d835] | 393 | n->cfCopy = ngcCopy; |
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[7bbbef] | 394 | n->cfGreater = ngcGreater; |
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| 395 | n->cfEqual = ngcEqual; |
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| 396 | n->cfIsZero = ngcIsZero; |
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| 397 | n->cfIsOne = ngcIsOne; |
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| 398 | n->cfIsMOne = ngcIsMOne; |
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| 399 | n->cfGreaterZero = ngcGreaterZero; |
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[51d835] | 400 | n->cfWrite = ngcWrite; |
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[7bbbef] | 401 | n->cfRead = ngcRead; |
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| 402 | n->cfPower = ngcPower; |
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[51d835] | 403 | n->cfSetMap = ngcSetMap; |
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[7bbbef] | 404 | n->cfPar = ngcPar; |
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| 405 | n->cfRePart = ngcRePart; |
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| 406 | n->cfImPart = ngcImPart; |
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[7a8011] | 407 | n->cfCoeffWrite = ngcCoeffWrite; |
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[7bbbef] | 408 | // cfSize = ndSize; |
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[51d835] | 409 | #ifdef LDEBUG |
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[7bbbef] | 410 | n->cfDBTest = ndDBTest; // not yet implemented: ngcDBTest |
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[51d835] | 411 | #endif |
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| 412 | |
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[121fd9] | 413 | n->nCoeffIsEqual = ndCoeffIsEqual; |
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[039016] | 414 | |
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[51d835] | 415 | |
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[9bb5457] | 416 | |
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| 417 | /* |
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[51d835] | 418 | //r->cfInitChar=nlInitChar; |
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| 419 | r->cfKillChar=NULL; |
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| 420 | r->cfSetChar=NULL; |
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| 421 | r->nCoeffIsEqual=nlCoeffsEqual; |
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| 422 | |
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[7bbbef] | 423 | r->cfMult = nlMult; |
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| 424 | r->cfSub = nlSub; |
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| 425 | r->cfAdd = nlAdd; |
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| 426 | r->cfDiv = nlDiv; |
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| 427 | r->cfIntDiv= nlIntDiv; |
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| 428 | r->cfIntMod= nlIntMod; |
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| 429 | r->cfExactDiv= nlExactDiv; |
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[51d835] | 430 | r->cfInit = nlInit; |
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[7bbbef] | 431 | r->cfPar = ndPar; |
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| 432 | r->cfParDeg = ndParDeg; |
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| 433 | r->cfSize = nlSize; |
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| 434 | r->cfInt = nlInt; |
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[51d835] | 435 | #ifdef HAVE_RINGS |
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[7bbbef] | 436 | r->cfDivComp = NULL; // only for ring stuff |
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| 437 | r->cfIsUnit = NULL; // only for ring stuff |
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| 438 | r->cfGetUnit = NULL; // only for ring stuff |
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| 439 | r->cfExtGcd = NULL; // only for ring stuff |
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[51d835] | 440 | #endif |
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[7bbbef] | 441 | r->cfNeg = nlNeg; |
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| 442 | r->cfInvers= nlInvers; |
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[51d835] | 443 | r->cfCopy = nl_Copy; |
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[7bbbef] | 444 | r->cfRePart = nl_Copy; |
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| 445 | r->cfImPart = ndReturn0; |
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[51d835] | 446 | r->cfWrite = nlWrite; |
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[7bbbef] | 447 | r->cfRead = nlRead; |
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| 448 | r->cfNormalize=nlNormalize; |
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| 449 | r->cfGreater = nlGreater; |
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[51d835] | 450 | #ifdef HAVE_RINGS |
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[7bbbef] | 451 | r->cfDivBy = NULL; // only for ring stuff |
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[51d835] | 452 | #endif |
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[7bbbef] | 453 | r->cfEqual = nlEqual; |
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| 454 | r->cfIsZero = nlIsZero; |
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| 455 | r->cfIsOne = nlIsOne; |
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| 456 | r->cfIsMOne = nlIsMOne; |
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| 457 | r->cfGreaterZero = nlGreaterZero; |
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| 458 | r->cfPower = nlPower; |
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[51d835] | 459 | r->cfGetDenom = nlGetDenom; |
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| 460 | r->cfGetNumerator = nlGetNumerator; |
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[7bbbef] | 461 | r->cfGcd = nlGcd; |
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| 462 | r->cfLcm = nlLcm; |
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[51d835] | 463 | r->cfDelete= nlDelete; |
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| 464 | r->cfSetMap = nlSetMap; |
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[7bbbef] | 465 | r->cfName = ndName; |
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| 466 | r->cfInpMult=nlInpMult; |
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| 467 | r->cfInit_bigint=nlCopyMap; |
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[51d835] | 468 | #ifdef LDEBUG |
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| 469 | // debug stuff |
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[7bbbef] | 470 | r->cfDBTest=nlDBTest; |
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[51d835] | 471 | #endif |
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| 472 | |
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| 473 | // the variables: |
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| 474 | r->nNULL = INT_TO_SR(0); |
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| 475 | r->type = n_Q; |
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| 476 | r->ch = 0; |
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| 477 | r->has_simple_Alloc=FALSE; |
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| 478 | r->has_simple_Inverse=FALSE; |
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| 479 | */ |
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| 480 | |
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| 481 | /// TODO: Any variables? |
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[4c6e420] | 482 | if( p == NULL ) |
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[121fd9] | 483 | n->complex_parameter = omStrDup((char*)"i"); |
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[4c6e420] | 484 | else |
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[bfa04e] | 485 | n->complex_parameter = omStrDup( (char*) p ); |
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[9bb5457] | 486 | |
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[5d594a9] | 487 | return FALSE; |
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[51d835] | 488 | } |
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| 489 | |
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| 490 | |
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| 491 | |
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| 492 | |
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| 493 | |
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| 494 | number ngcMapQ(number from, const coeffs aRing, const coeffs r) |
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| 495 | { |
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| 496 | assume( getCoeffType(r) == ID ); |
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| 497 | assume( getCoeffType(aRing) == n_Q ); |
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| 498 | |
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| 499 | if ( from != NULL ) |
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| 500 | { |
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| 501 | gmp_complex *res=new gmp_complex(numberFieldToFloat(from,QTOF,aRing)); |
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| 502 | return (number)res; |
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| 503 | } |
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| 504 | else |
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| 505 | return NULL; |
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| 506 | } |
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| 507 | |
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| 508 | static number ngcMapLongR(number from, const coeffs aRing, const coeffs r) |
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| 509 | { |
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| 510 | assume( getCoeffType(r) == ID ); |
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| 511 | assume( getCoeffType(aRing) == n_long_R ); |
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| 512 | |
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| 513 | if ( from != NULL ) |
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| 514 | { |
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| 515 | gmp_complex *res=new gmp_complex(*((gmp_float *)from)); |
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| 516 | return (number)res; |
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| 517 | } |
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| 518 | else |
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| 519 | return NULL; |
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| 520 | } |
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| 521 | |
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| 522 | static number ngcMapR(number from, const coeffs aRing, const coeffs r) |
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| 523 | { |
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| 524 | assume( getCoeffType(r) == ID ); |
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| 525 | assume( getCoeffType(aRing) == n_R ); |
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| 526 | |
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| 527 | if ( from != NULL ) |
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| 528 | { |
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| 529 | gmp_complex *res=new gmp_complex((double)nrFloat(from)); |
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| 530 | return (number)res; |
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| 531 | } |
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| 532 | else |
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| 533 | return NULL; |
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| 534 | } |
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| 535 | |
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| 536 | static number ngcMapP(number from, const coeffs aRing, const coeffs r) |
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| 537 | { |
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| 538 | assume( getCoeffType(r) == ID ); |
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| 539 | assume( getCoeffType(aRing) == n_Zp ); |
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| 540 | |
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[210852] | 541 | if ( from != NULL ) |
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[51d835] | 542 | return ngcInit(npInt(from, aRing), r); |
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| 543 | else |
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| 544 | return NULL; |
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| 545 | } |
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| 546 | |
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| 547 | static number ngcCopyMap(number from, const coeffs aRing, const coeffs r) |
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| 548 | { |
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| 549 | assume( getCoeffType(r) == ID ); |
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| 550 | assume( getCoeffType(aRing) == ID ); |
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| 551 | |
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| 552 | gmp_complex* b = NULL; |
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| 553 | |
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| 554 | if ( from != NULL ) |
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[9bb5457] | 555 | { |
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[51d835] | 556 | b = new gmp_complex( *(gmp_complex*)from ); |
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| 557 | } |
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[9bb5457] | 558 | return (number)b; |
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[51d835] | 559 | } |
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| 560 | |
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| 561 | nMapFunc ngcSetMap(const coeffs src, const coeffs dst) |
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| 562 | { |
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| 563 | assume( getCoeffType(dst) == ID ); |
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| 564 | |
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[1cce47] | 565 | if (nCoeff_is_Q(src)) |
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[51d835] | 566 | { |
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| 567 | return ngcMapQ; |
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| 568 | } |
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[1cce47] | 569 | if (nCoeff_is_long_R(src)) |
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[51d835] | 570 | { |
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| 571 | return ngcMapLongR; |
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| 572 | } |
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[1cce47] | 573 | if (nCoeff_is_long_C(src)) |
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[51d835] | 574 | { |
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| 575 | return ngcCopyMap; |
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| 576 | } |
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[1cce47] | 577 | if (nCoeff_is_R(src)) |
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[51d835] | 578 | { |
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| 579 | return ngcMapR; |
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| 580 | } |
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[1cce47] | 581 | if (nCoeff_is_Zp(src)) |
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[51d835] | 582 | { |
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| 583 | return ngcMapP; |
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| 584 | } |
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| 585 | return NULL; |
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| 586 | } |
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| 587 | |
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[7a8011] | 588 | void ngcCoeffWrite (const coeffs r) |
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| 589 | { |
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| 590 | Print("// characteristic : 0 (complex:%d digits, additional %d digits)\n", |
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| 591 | r->float_len, r->float_len2); /* long C */ |
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| 592 | } |
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