[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 floating-point numbers |
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| 7 | * |
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| 8 | * ngf == number gnu floats |
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| 9 | */ |
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| 10 | |
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[599326] | 11 | #include <kernel/mod2.h> |
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| 12 | #include <kernel/structs.h> |
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| 13 | #include <kernel/febase.h> |
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[b1dfaf] | 14 | #include <omalloc/omalloc.h> |
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[599326] | 15 | #include <kernel/numbers.h> |
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| 16 | #include <kernel/modulop.h> |
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| 17 | #include <kernel/longrat.h> |
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[35aab3] | 18 | |
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[599326] | 19 | #include <kernel/gnumpfl.h> |
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| 20 | #include <kernel/mpr_complex.h> |
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[35aab3] | 21 | |
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| 22 | extern size_t gmp_output_digits; |
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[cf74cd6] | 23 | ring ngfMapRing; // to be used also in gnumpc.cc |
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[35aab3] | 24 | |
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| 25 | static number ngfMapP(number from) |
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| 26 | { |
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[c12222] | 27 | return ngfInit(npInt(from,ngfMapRing), currRing); |
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[35aab3] | 28 | } |
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[8cf4f3f] | 29 | number ngfMapQ(number from) |
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[35aab3] | 30 | { |
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[c12222] | 31 | gmp_float *res=new gmp_float(numberFieldToFloat(from,QTOF)); |
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| 32 | return (number)res; |
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[35aab3] | 33 | } |
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| 34 | union nf |
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| 35 | { |
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| 36 | float _f; |
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| 37 | number _n; |
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| 38 | nf(float f) {_f = f;} |
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| 39 | nf(number n) {_n = n;} |
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| 40 | float F() const {return _f;} |
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| 41 | number N() const {return _n;} |
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| 42 | }; |
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| 43 | static number ngfMapR(number from) |
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| 44 | { |
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[c12222] | 45 | gmp_float *res=new gmp_float((double)nf(from).F()); |
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| 46 | return (number)res; |
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[35aab3] | 47 | } |
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| 48 | static number ngfMapC(number from) |
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| 49 | { |
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[c12222] | 50 | gmp_float *res=new gmp_float(((gmp_complex*)from)->real()); |
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| 51 | return (number)res; |
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[35aab3] | 52 | } |
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| 53 | |
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[208e0c] | 54 | nMapFunc ngfSetMap(const ring src, const ring dst) |
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[35aab3] | 55 | { |
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| 56 | if (rField_is_Q(src)) |
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| 57 | { |
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| 58 | return ngfMapQ; |
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| 59 | } |
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| 60 | if (rField_is_long_R(src)) |
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| 61 | { |
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| 62 | return ngfCopy; |
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| 63 | } |
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| 64 | if (rField_is_R(src)) |
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| 65 | { |
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| 66 | return ngfMapR; |
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| 67 | } |
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| 68 | if (rField_is_Zp(src)) |
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| 69 | { |
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[cf74cd6] | 70 | ngfMapRing=src; |
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[35aab3] | 71 | return ngfMapP; |
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| 72 | } |
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| 73 | if (rField_is_long_C(src)) |
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| 74 | { |
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| 75 | return ngfMapC; |
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| 76 | } |
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| 77 | return NULL; |
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| 78 | } |
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| 79 | |
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| 80 | /*2 |
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| 81 | * n := i |
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| 82 | */ |
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[8391d8] | 83 | number ngfInit (int i, const ring r) |
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[35aab3] | 84 | { |
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[c12222] | 85 | gmp_float* n= new gmp_float( (double)i ); |
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[35aab3] | 86 | return (number)n; |
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| 87 | } |
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| 88 | |
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| 89 | /*2 |
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| 90 | * convert number to int |
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| 91 | */ |
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[cf74cd6] | 92 | int ngfInt(number &i, const ring r) |
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[35aab3] | 93 | { |
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[3c6379] | 94 | double d=(double)*(gmp_float*)i; |
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| 95 | if (d<0.0) |
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| 96 | return (int)(d-0.5); |
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| 97 | else |
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| 98 | return (int)(d+0.5); |
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[35aab3] | 99 | } |
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| 100 | |
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[12cca3] | 101 | int ngfSize(number n) |
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| 102 | { |
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| 103 | int i = ngfInt(n, currRing); |
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| 104 | /* basically return the largest integer in n; |
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| 105 | only if this happens to be zero although n != 0, |
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| 106 | return 1; |
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| 107 | (this code ensures that zero has the size zero) */ |
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| 108 | if ((i == 0) && (ngfIsZero(n) == FALSE)) i = 1; |
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| 109 | return i; |
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| 110 | } |
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| 111 | |
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[35aab3] | 112 | /*2 |
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| 113 | * delete a |
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| 114 | */ |
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| 115 | void ngfDelete (number * a, const ring r) |
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| 116 | { |
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| 117 | if ( *a != NULL ) |
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| 118 | { |
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| 119 | delete *(gmp_float**)a; |
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| 120 | *a=NULL; |
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| 121 | } |
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| 122 | } |
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| 123 | |
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| 124 | /*2 |
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| 125 | * copy a to b |
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| 126 | */ |
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| 127 | number ngfCopy(number a) |
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| 128 | { |
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[c12222] | 129 | gmp_float* b= new gmp_float( *(gmp_float*)a ); |
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[35aab3] | 130 | return (number)b; |
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| 131 | } |
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| 132 | |
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| 133 | number ngf_Copy(number a, ring r) |
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| 134 | { |
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[c12222] | 135 | gmp_float* b= new gmp_float( *(gmp_float*)a ); |
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[35aab3] | 136 | return (number)b; |
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| 137 | } |
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| 138 | |
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| 139 | /*2 |
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| 140 | * za:= - za |
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| 141 | */ |
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| 142 | number ngfNeg (number a) |
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| 143 | { |
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| 144 | *(gmp_float*)a= -(*(gmp_float*)a); |
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| 145 | return (number)a; |
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| 146 | } |
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| 147 | |
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| 148 | /* |
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| 149 | * 1/a |
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| 150 | */ |
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| 151 | number ngfInvers(number a) |
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| 152 | { |
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| 153 | gmp_float* r= NULL; |
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[c12222] | 154 | if (((gmp_float*)a)->isZero() ) |
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[35aab3] | 155 | { |
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[b7e838] | 156 | WerrorS(nDivBy0); |
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[35aab3] | 157 | } |
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| 158 | else |
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| 159 | { |
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| 160 | r= new gmp_float( (gmp_float)1 / (*(gmp_float*)a) ); |
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| 161 | } |
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| 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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| 168 | number ngfAdd (number a, number b) |
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| 169 | { |
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[c12222] | 170 | gmp_float* r= new gmp_float( (*(gmp_float*)a) + (*(gmp_float*)b) ); |
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[35aab3] | 171 | return (number)r; |
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| 172 | } |
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| 173 | |
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| 174 | /*2 |
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| 175 | * u:= a - b |
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| 176 | */ |
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| 177 | number ngfSub (number a, number b) |
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| 178 | { |
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[c12222] | 179 | gmp_float* r= new gmp_float( (*(gmp_float*)a) - (*(gmp_float*)b) ); |
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[35aab3] | 180 | return (number)r; |
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| 181 | } |
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| 182 | |
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| 183 | /*2 |
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| 184 | * u := a * b |
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| 185 | */ |
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| 186 | number ngfMult (number a, number b) |
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| 187 | { |
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[c12222] | 188 | gmp_float* r= new gmp_float( (*(gmp_float*)a) * (*(gmp_float*)b) ); |
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[35aab3] | 189 | return (number)r; |
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| 190 | } |
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| 191 | |
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| 192 | /*2 |
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| 193 | * u := a / b |
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| 194 | */ |
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| 195 | number ngfDiv (number a, number b) |
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| 196 | { |
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[c12222] | 197 | if ( ((gmp_float*)b)->isZero() ) |
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[35aab3] | 198 | { |
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[b7e838] | 199 | // a/0 = error |
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| 200 | WerrorS(nDivBy0); |
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[35aab3] | 201 | return NULL; |
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| 202 | } |
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| 203 | gmp_float* r= new gmp_float( (*(gmp_float*)a) / (*(gmp_float*)b) ); |
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| 204 | return (number)r; |
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| 205 | } |
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| 206 | |
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| 207 | /*2 |
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| 208 | * u:= x ^ exp |
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| 209 | */ |
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| 210 | void ngfPower ( number x, int exp, number * u ) |
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| 211 | { |
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| 212 | if ( exp == 0 ) |
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| 213 | { |
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| 214 | gmp_float* n = new gmp_float(1); |
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| 215 | *u=(number)n; |
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| 216 | return; |
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| 217 | } |
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[2fa632] | 218 | else if ( ngfIsZero(x) ) // 0^e, e>0 |
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| 219 | { |
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[c12222] | 220 | *u=ngfInit(0, currRing); |
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[2fa632] | 221 | return; |
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| 222 | } |
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| 223 | else if ( exp == 1 ) |
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[35aab3] | 224 | { |
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| 225 | nNew(u); |
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[c12222] | 226 | gmp_float* n = new gmp_float(); |
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| 227 | *n= *(gmp_float*)x; |
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| 228 | *u=(number)n; |
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[35aab3] | 229 | return; |
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| 230 | } |
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| 231 | ngfPower(x,exp-1,u); |
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| 232 | |
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| 233 | gmp_float *n=new gmp_float(); |
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| 234 | *n=*(gmp_float*)x; |
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| 235 | *(gmp_float*)(*u) *= *(gmp_float*)n; |
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| 236 | delete (gmp_float*)n; |
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| 237 | } |
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| 238 | |
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| 239 | BOOLEAN ngfIsZero (number a) |
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| 240 | { |
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| 241 | return ( ((gmp_float*)a)->isZero() ); |
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| 242 | } |
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| 243 | |
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| 244 | /*2 |
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| 245 | * za >= 0 ? |
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| 246 | */ |
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| 247 | BOOLEAN ngfGreaterZero (number a) |
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| 248 | { |
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| 249 | return ( (*(gmp_float*)a) >= (gmp_float)0.0 ); |
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| 250 | } |
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| 251 | |
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| 252 | /*2 |
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| 253 | * a > b ? |
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| 254 | */ |
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| 255 | BOOLEAN ngfGreater (number a, number b) |
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| 256 | { |
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| 257 | return ( (*(gmp_float*)a) > (*(gmp_float*)b) ); |
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| 258 | } |
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| 259 | |
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| 260 | /*2 |
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| 261 | * a = b ? |
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| 262 | */ |
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| 263 | BOOLEAN ngfEqual (number a, number b) |
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| 264 | { |
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| 265 | return ( (*(gmp_float*)a) == (*(gmp_float*)b) ); |
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| 266 | } |
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| 267 | |
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| 268 | /*2 |
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| 269 | * a == 1 ? |
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| 270 | */ |
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| 271 | BOOLEAN ngfIsOne (number a) |
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| 272 | { |
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| 273 | return ((gmp_float*)a)->isOne(); |
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| 274 | } |
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| 275 | |
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| 276 | /*2 |
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| 277 | * a == -1 ? |
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| 278 | */ |
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| 279 | BOOLEAN ngfIsMOne (number a) |
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| 280 | { |
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| 281 | return ((gmp_float*)a)->isMOne(); |
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| 282 | } |
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| 283 | |
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| 284 | /*2 |
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| 285 | * result =gcd(a,b) |
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| 286 | * dummy, returns 1 |
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| 287 | */ |
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| 288 | number ngfGcd(number a, number b) |
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| 289 | { |
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| 290 | gmp_float *result= new gmp_float( 1 ); |
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| 291 | return (number)result; |
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| 292 | } |
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| 293 | |
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[85e68dd] | 294 | static char * ngfEatFloatNExp(char * s ) |
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[35aab3] | 295 | { |
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| 296 | char *start= s; |
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| 297 | |
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| 298 | // eat floats (mantissa) like: |
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[df1a7e] | 299 | // 0.394394993, 102.203003008, .300303032, pssibly starting with - |
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| 300 | if (*s == '-') s++; |
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[35aab3] | 301 | while ((*s >= '0' && *s <= '9')||(*s == '.')) s++; |
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| 302 | |
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| 303 | // eat the exponent, starts with 'e' followed by '+', '-' |
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| 304 | // and digits, like: |
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[cb8700] | 305 | // e-202, e+393, accept also E7 |
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| 306 | if ( (s != start) && ((*s == 'e')||(*s=='E'))) |
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[35aab3] | 307 | { |
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[df1a7e] | 308 | if (*s=='E') *s='e'; |
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[cb8700] | 309 | s++; // skip 'e'/'E' |
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| 310 | if ((*s == '+') || (*s == '-')) s++; |
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[35aab3] | 311 | while ((*s >= '0' && *s <= '9')) s++; |
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| 312 | } |
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| 313 | |
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| 314 | return s; |
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| 315 | } |
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| 316 | |
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| 317 | /*2 |
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| 318 | * extracts the number a from s, returns the rest |
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| 319 | */ |
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[85e68dd] | 320 | const char * ngfRead (const char * start, number * a) |
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[35aab3] | 321 | { |
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[85e68dd] | 322 | char *s= (char *)start; |
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[35aab3] | 323 | |
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| 324 | //Print("%s\n",s); |
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| 325 | |
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| 326 | s= ngfEatFloatNExp( s ); |
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| 327 | |
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| 328 | if (*s=='\0') // 0 |
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| 329 | { |
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| 330 | if ( *(gmp_float**)a == NULL ) (*(gmp_float**)a)= new gmp_float(); |
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| 331 | (*(gmp_float**)a)->setFromStr(start); |
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| 332 | } |
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| 333 | else if (s==start) // 1 |
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| 334 | { |
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| 335 | if ( *(gmp_float**)a != NULL ) delete (*(gmp_float**)a); |
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| 336 | (*(gmp_float**)a)= new gmp_float(1); |
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| 337 | } |
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| 338 | else |
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| 339 | { |
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| 340 | gmp_float divisor(1.0); |
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| 341 | char *start2=s; |
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| 342 | if ( *s == '/' ) |
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| 343 | { |
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| 344 | s++; |
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[85e68dd] | 345 | s= ngfEatFloatNExp( (char *)s ); |
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[35aab3] | 346 | if (s!= start2+1) |
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| 347 | { |
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| 348 | char tmp_c=*s; |
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| 349 | *s='\0'; |
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| 350 | divisor.setFromStr(start2+1); |
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| 351 | *s=tmp_c; |
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| 352 | } |
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| 353 | else |
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| 354 | { |
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| 355 | Werror("wrong long real format: %s",start2); |
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| 356 | } |
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| 357 | } |
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| 358 | char c=*start2; |
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| 359 | *start2='\0'; |
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| 360 | if ( *(gmp_float**)a == NULL ) (*(gmp_float**)a)= new gmp_float(); |
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| 361 | (*(gmp_float**)a)->setFromStr(start); |
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| 362 | *start2=c; |
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[7c961ba] | 363 | if (divisor.isZero()) |
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| 364 | { |
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| 365 | WerrorS(nDivBy0); |
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| 366 | } |
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| 367 | else |
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| 368 | (**(gmp_float**)a) /= divisor; |
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[35aab3] | 369 | } |
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| 370 | |
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| 371 | return s; |
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| 372 | } |
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| 373 | |
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| 374 | /*2 |
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| 375 | * write a floating point number |
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| 376 | */ |
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[493225] | 377 | void ngfWrite (number &a, const ring r) |
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[35aab3] | 378 | { |
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| 379 | char *out; |
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| 380 | if ( a != NULL ) |
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| 381 | { |
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| 382 | out= floatToStr(*(gmp_float*)a,gmp_output_digits); |
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[e53182] | 383 | StringAppendS(out); |
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[35aab3] | 384 | //omFreeSize((ADDRESS)out, (strlen(out)+1)* sizeof(char) ); |
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| 385 | omFree( (ADDRESS)out ); |
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| 386 | } |
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| 387 | else |
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| 388 | { |
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[e53182] | 389 | StringAppendS("0"); |
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[35aab3] | 390 | } |
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| 391 | } |
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| 392 | |
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| 393 | #ifdef LDEBUG |
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[85e68dd] | 394 | //BOOLEAN ngfDBTest(number a, const char *f, const int l) |
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| 395 | //{ |
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| 396 | // return TRUE; |
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| 397 | //} |
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[35aab3] | 398 | #endif |
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| 399 | |
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| 400 | // local Variables: *** |
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| 401 | // folded-file: t *** |
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| 402 | // compile-command: "make installg" *** |
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| 403 | // End: *** |
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