1 | #include "misc/auxiliary.h" |
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2 | |
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3 | #include "reporter/reporter.h" |
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4 | #include "resources/feResource.h" |
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5 | |
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6 | #include "coeffs/coeffs.h" |
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7 | #include "coeffs/numbers.h" |
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8 | |
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9 | // the following headers are private... |
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10 | #include "coeffs/longrat.h" |
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11 | #include "coeffs/gnumpfl.h" |
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12 | #include "coeffs/gnumpc.h" |
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13 | #include "coeffs/shortfl.h" |
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14 | #include "coeffs/ffields.h" |
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15 | #include "coeffs/modulop.h" |
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16 | #include "coeffs/rmodulon.h" |
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17 | #include "coeffs/rmodulo2m.h" |
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18 | #include "coeffs/rintegers.h" |
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19 | |
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20 | |
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21 | #include "common.h" |
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22 | using namespace std; |
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23 | |
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24 | |
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25 | void TestSum(const coeffs r, const unsigned long N) |
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26 | { |
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27 | clog << ( _2S("TEST: sum[0..") + _2S(N) + "]: "); |
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28 | clog << endl; |
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29 | |
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30 | assume( N > 0 ); // just for now... |
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31 | |
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32 | const unsigned long ssss = (N * (N+1)) / 2; |
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33 | |
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34 | number sum1 = n_Init(ssss, r); |
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35 | clog<< "N*(N+1)/2 (int: " << ssss << "): "; PrintSized(sum1, r); |
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36 | |
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37 | number s, ss, i, res; |
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38 | |
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39 | s = n_Init(N , r); |
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40 | i = n_Init(N+1, r); |
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41 | n_InpMult(s, i, r); |
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42 | n_Delete(&i, r); |
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43 | |
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44 | clog<< "N*(N+1): ("<< N*(N+1) << ")"; PrintSized(s, r); |
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45 | |
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46 | i = n_Init(2, r); |
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47 | clog<< "2: "; PrintSized(i, r); |
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48 | |
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49 | if( !n_IsZero( i, r) ) |
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50 | { |
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51 | #ifdef HAVE_RINGS |
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52 | TS_ASSERT( n_DivBy(s, i, r) ); |
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53 | #endif |
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54 | |
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55 | res = n_Div(s, i, r); |
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56 | |
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57 | clog<< "N*(N+1)/2: "; PrintSized(res, r); |
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58 | |
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59 | |
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60 | number d = n_Sub(res, sum1, r); |
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61 | TS_ASSERT( n_IsZeroDivisor(d, r) ); |
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62 | n_Delete(&d, r); |
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63 | |
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64 | if( n_GetChar(r) == 0 ) |
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65 | { |
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66 | TS_ASSERT( n_Equal(sum1, res, r) ); |
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67 | TS_ASSERT( n_Equal(res, sum1, r) ); |
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68 | } |
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69 | } else |
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70 | TS_ASSERT_EQUALS( n_GetChar(r), 2); |
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71 | |
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72 | |
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73 | n_Delete(&s, r); n_Delete(&i, r); |
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74 | |
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75 | n_Delete(&sum1, r); n_Delete(&res, r); |
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76 | |
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77 | |
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78 | s = n_Init(0 , r); |
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79 | ss = n_Init(0 , r); |
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80 | for( int k = N; k >= 0; k-- ) |
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81 | { |
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82 | i = n_Init(k, r); |
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83 | n_InpAdd(s, i, r); // s += i |
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84 | |
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85 | i = n_InpNeg(i, r); |
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86 | n_InpAdd(ss, i, r); // ss -= i |
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87 | |
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88 | n_Delete(&i, r); |
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89 | } |
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90 | clog<< "ss: "; PrintSized(ss, r); |
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91 | |
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92 | ss = n_InpNeg(ss, r); // ss = -ss |
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93 | |
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94 | clog<< "real sum : "; PrintSized(s, r); |
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95 | clog<< "real sum(--): "; PrintSized(ss, r); |
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96 | |
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97 | TS_ASSERT( n_Equal(s, ss, r) ); |
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98 | TS_ASSERT( n_Equal(ss, s, r) ); |
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99 | |
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100 | n_Delete(&s, r); |
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101 | n_Delete(&ss, r); |
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102 | |
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103 | clog << ( " >>> TEST DONE!" ); |
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104 | clog << endl; |
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105 | |
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106 | } |
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107 | |
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108 | |
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109 | void TestArith(const coeffs r) |
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110 | { |
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111 | clog << ("TEST: Simple Arithmetics: "); |
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112 | clog << endl; |
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113 | |
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114 | number two = n_Init(2, r); |
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115 | |
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116 | number t = n_Init(1, r); |
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117 | n_InpAdd(t, t, r); |
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118 | TS_ASSERT( n_Equal(two, t, r) ); |
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119 | n_Delete(&t, r); |
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120 | |
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121 | if( getCoeffType(r) == n_Q ) |
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122 | { |
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123 | number t = n_Init(1, r); |
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124 | n_InpAdd(t, t, r); |
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125 | TS_ASSERT( n_Equal(two, t, r) ); |
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126 | n_Delete(&t, r); |
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127 | } |
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128 | |
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129 | |
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130 | |
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131 | |
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132 | const int N = 66666; |
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133 | |
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134 | number a = n_Init(N, r); |
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135 | |
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136 | clog<< "a: "; PrintSized(a, r); |
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137 | |
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138 | |
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139 | clog<< "two: "; PrintSized(two, r); |
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140 | |
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141 | number aa0 = n_Init(N*2, r); |
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142 | |
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143 | number aa = n_Add(a, a, r); |
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144 | |
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145 | clog<< "aa = a + a: "; PrintSized(aa, r); |
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146 | |
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147 | number aa2 = n_Mult(a, two, r); |
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148 | |
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149 | clog<< "aa2 = a * 2: "; PrintSized(aa2, r); |
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150 | |
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151 | number aa1 = n_Mult(two, a, r); |
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152 | |
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153 | clog<< "aa1 = 2 * a: "; PrintSized(aa1, r); |
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154 | |
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155 | n_Delete(&a, r); |
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156 | n_Delete(&two, r); |
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157 | |
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158 | |
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159 | a = n_Sub( aa, aa1, r ); |
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160 | |
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161 | clog<< "a = aa - aa1: "; PrintSized(a, r); |
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162 | |
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163 | TS_ASSERT( n_IsZero(a, r) ); |
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164 | |
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165 | n_Delete(&a, r); |
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166 | |
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167 | a = n_Sub( aa, aa2, r ); |
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168 | |
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169 | clog<< "a = aa - aa2: "; PrintSized(a, r); |
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170 | |
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171 | TS_ASSERT( n_IsZero(a, r) ); |
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172 | |
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173 | n_Delete(&a, r); |
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174 | |
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175 | |
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176 | a = n_Sub( aa1, aa2, r ); |
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177 | |
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178 | clog<< "a = aa1 - aa2: "; PrintSized(a, r); |
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179 | |
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180 | TS_ASSERT( n_IsZero(a, r) ); |
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181 | |
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182 | n_Delete(&a, r); |
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183 | |
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184 | |
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185 | |
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186 | TS_ASSERT( n_Equal(aa, aa1, r) ); |
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187 | TS_ASSERT( n_Equal(aa, aa2, r) ); |
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188 | TS_ASSERT( n_Equal(aa1, aa2, r) ); |
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189 | |
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190 | TS_ASSERT( n_Equal(aa0, aa, r) ); |
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191 | TS_ASSERT( n_Equal(aa0, aa1, r) ); |
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192 | TS_ASSERT( n_Equal(aa0, aa2, r) ); |
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193 | |
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194 | n_Delete(&aa, r); |
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195 | n_Delete(&aa1, r); |
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196 | n_Delete(&aa2, r); |
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197 | |
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198 | n_Delete(&aa0, r); |
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199 | |
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200 | clog << ( " >>> TEST DONE!" ); |
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201 | clog << endl; |
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202 | |
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203 | } |
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204 | |
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205 | |
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206 | |
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207 | |
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208 | |
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209 | BOOLEAN Test(const n_coeffType type, void* p = NULLp) |
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210 | { |
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211 | |
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212 | clog << endl; |
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213 | clog << ( "----------------------- Testing coeffs: [" + _2S(type) + ", " + _2S(p) + "]: -----------------------"); |
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214 | clog << endl; |
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215 | |
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216 | const coeffs r = nInitChar( type, p ); |
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217 | |
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218 | if( r == NULLp ) |
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219 | { |
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220 | clog << ( "Test: could not get this coeff. domain" ); |
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221 | return FALSE; |
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222 | }; |
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223 | |
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224 | TS_ASSERT_DIFFERS( r->cfCoeffWrite, NULLp ); |
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225 | |
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226 | if( r->cfCoeffWrite != NULL ) |
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227 | { |
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228 | clog << "Coeff-domain: " << endl; |
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229 | n_CoeffWrite(r); PrintLn(); |
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230 | } |
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231 | |
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232 | if (n_NumberOfParameters(r) > 0) |
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233 | { |
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234 | number z = n_Param(1, r); // also any integer instead of 0//? |
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235 | PrintS("Parameter: "); PrintSized(z, r); |
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236 | n_Delete(&z, r); |
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237 | } |
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238 | |
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239 | |
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240 | clog << "Char: " << n_GetChar(r) << endl; |
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241 | |
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242 | |
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243 | TS_ASSERT_DIFFERS( r, NULLp ); |
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244 | nSetChar( r ); |
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245 | TS_ASSERT_EQUALS( getCoeffType(r), type ); |
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246 | |
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247 | TS_ASSERT_DIFFERS( r->cfInit, NULLp ); |
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248 | TS_ASSERT_DIFFERS( r->cfWriteLong, NULLp ); |
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249 | TS_ASSERT_DIFFERS( r->cfAdd, NULLp ); |
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250 | TS_ASSERT_DIFFERS( r->cfDelete, NULLp ); |
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251 | |
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252 | switch( type ) |
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253 | { |
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254 | case n_Q: |
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255 | { |
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256 | //TS_ASSERT_EQUALS( r->cfInit, nlInit ); |
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257 | //TS_ASSERT_EQUALS( r->cfAdd, nlAdd ); |
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258 | //TS_ASSERT_EQUALS( r->cfDelete, nlDelete ); |
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259 | |
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260 | TS_ASSERT( nCoeff_is_Q( r )); |
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261 | TS_ASSERT( nCoeff_is_Domain( r )); |
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262 | |
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263 | TS_ASSERT( !nCoeff_has_Units( r )); // ? |
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264 | TS_ASSERT( !nCoeff_has_simple_inverse( r ));// ? |
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265 | TS_ASSERT( !nCoeff_has_simple_Alloc( r )); // ? |
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266 | |
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267 | TS_ASSERT( !nCoeff_is_Ring_2toM( r )); |
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268 | TS_ASSERT( !nCoeff_is_Zn( r )); |
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269 | TS_ASSERT( !nCoeff_is_Ring_PtoM( r )); |
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270 | TS_ASSERT( !nCoeff_is_Z( r )); |
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271 | TS_ASSERT( !nCoeff_is_Ring( r )); |
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272 | TS_ASSERT( !nCoeff_is_Zp( r )); |
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273 | TS_ASSERT( !nCoeff_is_numeric( r )); |
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274 | TS_ASSERT( !nCoeff_is_R( r )); |
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275 | TS_ASSERT( !nCoeff_is_GF( r )); |
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276 | TS_ASSERT( !nCoeff_is_long_R( r )); |
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277 | TS_ASSERT( !nCoeff_is_long_C( r )); |
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278 | TS_ASSERT( !nCoeff_is_CF( r )); |
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279 | TS_ASSERT( !nCoeff_is_Extension( r )); |
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280 | |
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281 | break; |
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282 | } |
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283 | case n_long_R: |
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284 | { |
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285 | //TS_ASSERT_EQUALS( r->cfInit, ngfInit ); |
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286 | //TS_ASSERT_EQUALS( r->cfAdd, ngfAdd ); |
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287 | //TS_ASSERT_EQUALS( r->cfDelete, ngfDelete ); |
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288 | break; |
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289 | } |
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290 | case n_long_C: |
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291 | { |
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292 | // TS_ASSERT_EQUALS( r->cfInit, ngcInit ); |
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293 | // TS_ASSERT_EQUALS( r->cfAdd, ngcAdd ); |
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294 | // TS_ASSERT_EQUALS( r->cfDelete, ngcDelete ); |
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295 | break; |
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296 | } |
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297 | case n_R: |
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298 | { |
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299 | //TS_ASSERT_EQUALS( r->cfInit, nrInit ); |
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300 | //TS_ASSERT_EQUALS( r->cfAdd, nrAdd ); |
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301 | // TS_ASSERT_EQUALS( r->cfDelete, nrDelete ); // No? |
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302 | break; |
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303 | } |
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304 | case n_GF: |
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305 | { |
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306 | // TS_ASSERT_EQUALS( r->cfInit, nfInit ); |
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307 | // TS_ASSERT_EQUALS( r->cfAdd, nfAdd ); |
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308 | //TS_ASSERT_EQUALS( r->cfDelete, nfDelete ); |
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309 | break; |
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310 | } |
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311 | #ifdef HAVE_RINGS |
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312 | case n_Z2m: |
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313 | { |
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314 | //TS_ASSERT_EQUALS( r->cfInit, nr2mInit ); |
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315 | //TS_ASSERT_EQUALS( r->cfAdd, nr2mAdd ); |
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316 | //TS_ASSERT_EQUALS( r->cfDelete, ndDelete ); |
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317 | break; |
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318 | } |
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319 | case n_Zn: |
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320 | { |
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321 | //TS_ASSERT_EQUALS( r->cfInit, nrnInit ); |
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322 | //TS_ASSERT_EQUALS( r->cfAdd, nrnAdd ); |
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323 | //TS_ASSERT_EQUALS( r->cfDelete, nrnDelete ); |
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324 | break; |
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325 | } |
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326 | #endif |
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327 | default: |
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328 | { |
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329 | // ... |
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330 | } |
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331 | } |
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332 | |
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333 | TestArith( r ); |
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334 | TestSum( r, 10 ); |
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335 | TestSum( r, 100 ); |
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336 | TestSum( r, 101 ); |
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337 | TestSum( r, 1001 ); |
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338 | TestSum( r, 9000 ); |
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339 | |
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340 | nKillChar( r ); |
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341 | |
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342 | return TRUE; |
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343 | } |
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344 | |
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345 | |
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346 | |
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347 | // We can rely on this file being included exactly once |
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348 | // and declare this global variable in the header file. |
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349 | // |
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350 | static GlobalPrintingFixture globalPrintingFixture; |
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351 | |
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352 | |
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353 | class CoeffsTestSuite : public CxxTest::TestSuite |
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354 | { |
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355 | public: |
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356 | // void test_dummy() { float fnum = 2.00001f; TS_ASSERT_DELTA (fnum, 2.0f, 0.0001f); } |
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357 | |
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358 | void test_Z2m4() |
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359 | { |
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360 | #ifdef HAVE_RINGS |
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361 | n_coeffType type = n_Z2m; |
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362 | TS_ASSERT( Test(type, (void*) 4) ); |
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363 | #endif |
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364 | } |
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365 | |
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366 | void test_Zp101() |
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367 | { |
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368 | n_coeffType type = n_Zp; |
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369 | TS_ASSERT( Test(type, (void*) 101) ); |
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370 | } |
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371 | |
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372 | void test_Z2m8() |
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373 | { |
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374 | #ifdef HAVE_RINGS |
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375 | n_coeffType type = n_Z2m; |
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376 | TS_ASSERT( Test(type, (void*) 8) ); |
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377 | #endif |
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378 | } |
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379 | |
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380 | void simple(const n_coeffType _type) |
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381 | { |
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382 | n_coeffType type = _type; |
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383 | TS_ASSERT( type == _type ); // ? |
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384 | TS_ASSERT( Test(type) ); |
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385 | } |
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386 | |
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387 | void test_Q() |
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388 | { |
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389 | simple(n_Q); |
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390 | } |
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391 | |
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392 | void test_R() |
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393 | { |
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394 | simple(n_R); |
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395 | } |
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396 | |
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397 | |
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398 | void test_Z() |
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399 | { |
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400 | #ifdef HAVE_RINGS |
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401 | simple(n_Z); // No need in GMP? |
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402 | #endif |
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403 | } |
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404 | |
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405 | |
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406 | void test_GF_toobig() |
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407 | { |
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408 | n_coeffType type = n_GF; |
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409 | |
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410 | GFInfo param; |
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411 | |
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412 | param.GFChar= 5; |
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413 | param.GFDegree= 12; |
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414 | param.GFPar_name= (const char*)"q"; |
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415 | |
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416 | TS_ASSERT( !Test(type, (void*) ¶m) ); |
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417 | |
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418 | // it should not be used by numbers... right? |
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419 | // TODO: what is our policy wrt param-pointer-ownership? |
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420 | } |
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421 | |
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422 | void test_GF() |
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423 | { |
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424 | // TODO: what if it was already registered? |
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425 | // Q: no way to deRegister a type? |
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426 | n_coeffType type = n_GF; |
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427 | |
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428 | GFInfo param; |
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429 | |
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430 | param.GFChar= 5; |
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431 | param.GFDegree= 2; |
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432 | param.GFPar_name= (const char*)"Q"; |
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433 | |
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434 | TS_ASSERT( Test(type, (void*) ¶m) ); |
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435 | |
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436 | // it should not be used by numbers... right? |
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437 | // TODO: what is our policy wrt param-pointer-ownership? |
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438 | } |
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439 | |
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440 | |
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441 | void test_Zn3() |
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442 | { |
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443 | #ifdef HAVE_RINGS |
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444 | n_coeffType type = n_Zn; |
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445 | |
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446 | ZnmInfo Znmparam; |
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447 | Znmparam.base= (mpz_ptr) omAlloc (sizeof (mpz_t)); |
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448 | mpz_init_set_ui (Znmparam.base, 3); |
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449 | Znmparam.exp= 1; |
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450 | |
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451 | TS_ASSERT( Test(type, (void*) &Znmparam) ); |
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452 | #endif |
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453 | } |
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454 | |
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455 | void test_Z2m2() |
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456 | { |
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457 | #ifdef HAVE_RINGS |
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458 | n_coeffType type = n_Z2m; |
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459 | |
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460 | TS_ASSERT( Test(type, (void*) 2) ); |
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461 | #endif |
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462 | } |
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463 | |
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464 | void test_LR() |
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465 | { |
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466 | simple(n_long_R); |
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467 | } |
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468 | |
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469 | void test_LC() |
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470 | { |
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471 | simple(n_long_C); |
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472 | } |
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473 | |
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474 | void test_Q_special() |
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475 | { |
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476 | const coeffs cf = nInitChar(n_Q, NULLp); |
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477 | |
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478 | if (cf == NULLp) |
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479 | clog << ( "Test: could not get this coeff. domain" ); |
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480 | |
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481 | TS_ASSERT_DIFFERS(cf->cfCoeffWrite, NULLp); |
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482 | |
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483 | if (cf->cfCoeffWrite != NULL ) |
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484 | { |
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485 | clog << "Coeff-domain: " << endl; |
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486 | n_CoeffWrite(cf); PrintLn(); |
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487 | } |
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488 | |
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489 | number q1 = n_Init(21, cf); |
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490 | number q2 = n_Init(2, cf); |
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491 | number q3 = n_Div(q1, q2, cf); |
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492 | number q4 = n_Init(30, cf); |
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493 | number q5 = n_Mult(q3, q4, cf); |
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494 | TS_ASSERT(n_Test(q5, cf)); |
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495 | Print("21/2 * 30 = %ld\n", n_Int(q5, cf)); |
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496 | TS_ASSERT(n_Test(q5, cf)); |
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497 | n_Delete(&q1, cf); |
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498 | n_Delete(&q2, cf); |
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499 | n_Delete(&q3, cf); |
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500 | n_Delete(&q4, cf); |
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501 | n_Delete(&q5, cf); |
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502 | } |
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503 | }; |
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504 | |
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