1 | /* |
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2 | Test the library maths functions using trusted precomputed test |
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3 | vectors. |
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4 | |
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5 | These vectors were originally generated on a sun3 with a 68881 using |
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6 | 80 bit precision, but ... |
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7 | |
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8 | Each function is called with a variety of interesting arguments. |
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9 | Note that many of the polynomials we use behave badly when the |
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10 | domain is stressed, so the numbers in the vectors depend on what is |
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11 | useful to test - eg sin(1e30) is pointless - the arg has to be |
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12 | reduced modulo pi, and after that there's no bits of significance |
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13 | left to evaluate with - any number would be just as precise as any |
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14 | other. |
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15 | |
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16 | |
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17 | */ |
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18 | |
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19 | #include "test.h" |
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20 | #include <math.h> |
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21 | #include <ieeefp.h> |
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22 | #include <float.h> |
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23 | #include <math.h> |
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24 | #include <errno.h> |
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25 | #include <stdio.h> |
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26 | |
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27 | int inacc; |
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28 | |
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29 | int merror; |
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30 | double mretval = 64; |
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31 | int traperror = 1; |
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32 | char *mname; |
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33 | |
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34 | int verbose; |
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35 | |
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36 | /* To test exceptions - we trap them all and return a known value */ |
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37 | int |
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38 | matherr (struct exception *e) |
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39 | { |
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40 | if (traperror) |
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41 | { |
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42 | merror = e->type + 12; |
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43 | mname = e->name; |
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44 | e->retval = mretval; |
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45 | errno = merror + 24; |
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46 | return 1; |
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47 | } |
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48 | return 0; |
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49 | } |
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50 | |
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51 | |
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52 | void translate_to (FILE *file, |
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53 | double r) |
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54 | { |
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55 | __ieee_double_shape_type bits; |
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56 | bits.value = r; |
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57 | fprintf(file, "0x%08x, 0x%08x", bits.parts.msw, bits.parts.lsw); |
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58 | } |
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59 | |
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60 | int |
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61 | ffcheck (double is, |
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62 | one_line_type *p, |
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63 | char *name, |
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64 | int serrno, |
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65 | int merror) |
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66 | { |
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67 | /* Make sure the answer isn't to far wrong from the correct value */ |
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68 | __ieee_double_shape_type correct, isbits; |
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69 | int mag; |
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70 | isbits.value = is; |
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71 | |
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72 | correct.parts.msw = p->qs[0].msw; |
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73 | correct.parts.lsw = p->qs[0].lsw; |
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74 | |
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75 | mag = mag_of_error(correct.value, is); |
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76 | |
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77 | if (mag < p->error_bit) |
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78 | { |
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79 | inacc ++; |
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80 | |
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81 | printf("%s:%d, inaccurate answer: bit %d (%08x%08x %08x%08x) (%g %g)\n", |
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82 | name, p->line, mag, |
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83 | correct.parts.msw, |
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84 | correct.parts.lsw, |
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85 | isbits.parts.msw, |
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86 | isbits.parts.lsw, |
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87 | correct.value, is); |
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88 | } |
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89 | |
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90 | #if 0 |
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91 | if (p->qs[0].merror != merror) |
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92 | { |
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93 | printf("testing %s_vec.c:%d, matherr wrong: %d %d\n", |
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94 | name, p->line, merror, p->qs[0].merror); |
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95 | } |
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96 | |
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97 | if (p->qs[0].errno_val != errno) |
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98 | { |
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99 | printf("testing %s_vec.c:%d, errno wrong: %d %d\n", |
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100 | name, p->line, errno, p->qs[0].errno_val); |
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101 | |
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102 | } |
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103 | #endif |
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104 | return mag; |
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105 | } |
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106 | |
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107 | double |
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108 | thedouble (long msw, |
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109 | long lsw) |
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110 | { |
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111 | __ieee_double_shape_type x; |
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112 | |
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113 | x.parts.msw = msw; |
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114 | x.parts.lsw = lsw; |
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115 | return x.value; |
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116 | } |
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117 | |
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118 | int calc; |
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119 | int reduce; |
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120 | |
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121 | |
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122 | frontline (FILE *f, |
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123 | int mag, |
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124 | one_line_type *p, |
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125 | double result, |
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126 | int merror, |
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127 | int errno, |
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128 | char *args, |
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129 | char *name) |
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130 | { |
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131 | if (reduce && p->error_bit < mag) |
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132 | { |
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133 | fprintf(f, "{%2d,", p->error_bit); |
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134 | } |
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135 | else |
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136 | { |
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137 | fprintf(f, "{%2d,",mag); |
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138 | } |
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139 | |
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140 | |
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141 | fprintf(f,"%2d,%3d,", merror,errno); |
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142 | fprintf(f, "__LINE__, "); |
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143 | |
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144 | if (calc) |
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145 | { |
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146 | translate_to(f, result); |
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147 | } |
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148 | else |
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149 | { |
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150 | translate_to(f, thedouble(p->qs[0].msw, p->qs[0].lsw)); |
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151 | } |
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152 | |
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153 | fprintf(f, ", "); |
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154 | |
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155 | fprintf(f,"0x%08x, 0x%08x", p->qs[1].msw, p->qs[1].lsw); |
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156 | |
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157 | |
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158 | if (args[2]) |
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159 | { |
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160 | fprintf(f, ", "); |
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161 | fprintf(f,"0x%08x, 0x%08x", p->qs[2].msw, p->qs[2].lsw); |
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162 | } |
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163 | |
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164 | fprintf(f,"}, /* %g=f(%g",result, |
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165 | thedouble(p->qs[1].msw, p->qs[1].lsw)); |
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166 | |
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167 | if (args[2]) |
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168 | { |
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169 | fprintf(f,", %g", thedouble(p->qs[2].msw,p->qs[2].lsw)); |
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170 | } |
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171 | fprintf(f, ")*/\n"); |
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172 | } |
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173 | |
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174 | finish (FILE *f, |
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175 | int vector, |
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176 | double result, |
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177 | one_line_type *p, |
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178 | char *args, |
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179 | char *name) |
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180 | { |
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181 | int mag; |
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182 | |
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183 | mag = ffcheck(result, p,name, merror, errno); |
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184 | if (vector) |
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185 | { |
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186 | frontline(f, mag, p, result, merror, errno, args , name); |
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187 | } |
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188 | } |
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189 | int redo; |
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190 | |
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191 | run_vector_1 (int vector, |
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192 | one_line_type *p, |
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193 | char *func, |
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194 | char *name, |
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195 | char *args) |
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196 | { |
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197 | FILE *f; |
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198 | int mag; |
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199 | double result; |
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200 | |
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201 | if (vector) |
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202 | { |
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203 | |
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204 | VECOPEN(name, f); |
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205 | |
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206 | if (redo) |
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207 | { |
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208 | double k; |
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209 | |
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210 | for (k = -.2; k < .2; k+= 0.00132) |
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211 | { |
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212 | |
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213 | fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n", |
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214 | k,k+4); |
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215 | |
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216 | } |
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217 | |
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218 | for (k = -1.2; k < 1.2; k+= 0.01) |
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219 | { |
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220 | |
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221 | fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n", |
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222 | k,k+4); |
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223 | |
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224 | } |
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225 | for (k = -M_PI *2; k < M_PI *2; k+= M_PI/2) |
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226 | { |
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227 | |
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228 | fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n", |
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229 | k,k+4); |
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230 | |
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231 | } |
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232 | |
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233 | for (k = -30; k < 30; k+= 1.7) |
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234 | { |
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235 | |
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236 | fprintf(f,"{2,2, 1,1, 0,0, 0x%08x,0x%08x, 0x%08x, 0x%08x},\n", |
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237 | k,k+4); |
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238 | |
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239 | } |
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240 | VECCLOSE(f, name, args); |
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241 | return; |
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242 | } |
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243 | } |
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244 | |
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245 | newfunc(name); |
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246 | while (p->line) |
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247 | { |
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248 | double arg1 = thedouble(p->qs[1].msw, p->qs[1].lsw); |
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249 | double arg2 = thedouble(p->qs[2].msw, p->qs[2].lsw); |
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250 | |
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251 | double r; |
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252 | double rf; |
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253 | |
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254 | errno = 0; |
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255 | merror = 0; |
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256 | mname = 0; |
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257 | |
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258 | |
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259 | line(p->line); |
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260 | |
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261 | merror = 0; |
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262 | errno = 123; |
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263 | |
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264 | if (strcmp(args,"dd")==0) |
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265 | { |
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266 | typedef double (*pdblfunc) (double); |
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267 | |
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268 | /* Double function returning a double */ |
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269 | |
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270 | result = ((pdblfunc)(func))(arg1); |
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271 | |
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272 | finish(f,vector, result, p, args, name); |
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273 | } |
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274 | else if (strcmp(args,"ff")==0) |
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275 | { |
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276 | float arga; |
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277 | double a; |
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278 | |
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279 | typedef float (*pdblfunc) (float); |
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280 | |
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281 | /* Double function returning a double */ |
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282 | |
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283 | if (arg1 < FLT_MAX ) |
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284 | { |
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285 | arga = arg1; |
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286 | result = ((pdblfunc)(func))(arga); |
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287 | finish(f, vector, result, p,args, name); |
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288 | } |
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289 | } |
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290 | else if (strcmp(args,"ddd")==0) |
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291 | { |
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292 | typedef double (*pdblfunc) (double,double); |
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293 | |
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294 | result = ((pdblfunc)(func))(arg1,arg2); |
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295 | finish(f, vector, result, p,args, name); |
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296 | } |
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297 | else if (strcmp(args,"fff")==0) |
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298 | { |
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299 | double a,b; |
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300 | |
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301 | float arga; |
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302 | float argb; |
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303 | |
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304 | typedef float (*pdblfunc) (float,float); |
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305 | |
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306 | |
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307 | if (arg1 < FLT_MAX && arg2 < FLT_MAX) |
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308 | { |
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309 | arga = arg1; |
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310 | argb = arg2; |
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311 | result = ((pdblfunc)(func))(arga, argb); |
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312 | finish(f, vector, result, p,args, name); |
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313 | } |
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314 | } |
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315 | else if (strcmp(args,"did")==0) |
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316 | { |
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317 | typedef double (*pdblfunc) (int,double); |
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318 | |
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319 | result = ((pdblfunc)(func))((int)arg1,arg2); |
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320 | finish(f, vector, result, p,args, name); |
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321 | } |
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322 | else if (strcmp(args,"fif")==0) |
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323 | { |
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324 | double a,b; |
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325 | |
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326 | float arga; |
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327 | float argb; |
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328 | |
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329 | typedef float (*pdblfunc) (int,float); |
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330 | |
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331 | |
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332 | if (arg1 < FLT_MAX && arg2 < FLT_MAX) |
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333 | { |
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334 | arga = arg1; |
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335 | argb = arg2; |
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336 | result = ((pdblfunc)(func))((int)arga, argb); |
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337 | finish(f, vector, result, p,args, name); |
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338 | } |
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339 | } |
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340 | |
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341 | p++; |
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342 | } |
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343 | if (vector) |
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344 | { |
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345 | VECCLOSE(f, name, args); |
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346 | } |
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347 | } |
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348 | |
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349 | void |
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350 | test_math (void) |
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351 | { |
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352 | test_acos(0); |
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353 | test_acosf(0); |
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354 | test_acosh(0); |
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355 | test_acoshf(0); |
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356 | test_asin(0); |
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357 | test_asinf(0); |
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358 | test_asinh(0); |
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359 | test_asinhf(0); |
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360 | test_atan(0); |
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361 | test_atan2(0); |
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362 | test_atan2f(0); |
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363 | test_atanf(0); |
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364 | test_atanh(0); |
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365 | test_atanhf(0); |
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366 | test_ceil(0); |
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367 | test_ceilf(0); |
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368 | test_cos(0); |
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369 | test_cosf(0); |
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370 | test_cosh(0); |
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371 | test_coshf(0); |
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372 | test_erf(0); |
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373 | test_erfc(0); |
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374 | test_erfcf(0); |
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375 | test_erff(0); |
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376 | test_exp(0); |
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377 | test_expf(0); |
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378 | test_fabs(0); |
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379 | test_fabsf(0); |
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380 | test_floor(0); |
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381 | test_floorf(0); |
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382 | test_fmod(0); |
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383 | test_fmodf(0); |
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384 | test_gamma(0); |
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385 | test_gammaf(0); |
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386 | test_hypot(0); |
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387 | test_hypotf(0); |
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388 | test_j0(0); |
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389 | test_j0f(0); |
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390 | test_j1(0); |
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391 | test_j1f(0); |
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392 | test_jn(0); |
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393 | test_jnf(0); |
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394 | test_log(0); |
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395 | test_log10(0); |
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396 | test_log10f(0); |
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397 | test_log1p(0); |
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398 | test_log1pf(0); |
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399 | test_log2(0); |
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400 | test_log2f(0); |
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401 | test_logf(0); |
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402 | test_sin(0); |
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403 | test_sinf(0); |
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404 | test_sinh(0); |
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405 | test_sinhf(0); |
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406 | test_sqrt(0); |
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407 | test_sqrtf(0); |
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408 | test_tan(0); |
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409 | test_tanf(0); |
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410 | test_tanh(0); |
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411 | test_tanhf(0); |
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412 | test_y0(0); |
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413 | test_y0f(0); |
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414 | test_y1(0); |
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415 | test_y1f(0); |
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416 | test_y1f(0); |
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417 | test_ynf(0); |
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418 | } |
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419 | |
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420 | /* These have to be played with to get to compile on machines which |
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421 | don't have the fancy <foo>f entry points |
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422 | */ |
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423 | |
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424 | #if 0 |
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425 | float cosf (float a) { return cos((double)a); } |
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426 | float sinf (float a) { return sin((double)a); } |
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427 | float log1pf (float a) { return log1p((double)a); } |
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428 | float tanf (float a) { return tan((double)a); } |
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429 | float ceilf (float a) { return ceil(a); } |
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430 | float floorf (float a) { return floor(a); } |
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431 | #endif |
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432 | |
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433 | /*ndef HAVE_FLOAT*/ |
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434 | #if 0 |
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435 | |
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436 | float fmodf(a,b) float a,b; { return fmod(a,b); } |
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437 | float hypotf(a,b) float a,b; { return hypot(a,b); } |
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438 | |
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439 | float acosf(a) float a; { return acos(a); } |
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440 | float acoshf(a) float a; { return acosh(a); } |
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441 | float asinf(a) float a; { return asin(a); } |
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442 | float asinhf(a) float a; { return asinh(a); } |
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443 | float atanf(a) float a; { return atan(a); } |
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444 | float atanhf(a) float a; { return atanh(a); } |
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445 | |
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446 | float coshf(a) float a; { return cosh(a); } |
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447 | float erff(a) float a; { return erf(a); } |
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448 | float erfcf(a) float a; { return erfc(a); } |
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449 | float expf(a) float a; { return exp(a); } |
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450 | float fabsf(a) float a; { return fabs(a); } |
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451 | |
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452 | float gammaf(a) float a; { return gamma(a); } |
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453 | float j0f(a) float a; { return j0(a); } |
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454 | float j1f(a) float a; { return j1(a); } |
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455 | float log10f(a) float a; { return log10(a); } |
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456 | |
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457 | float logf(a) float a; { return log(a); } |
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458 | |
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459 | float sinhf(a) float a; { return sinh(a); } |
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460 | float sqrtf(a) float a; { return sqrt(a); } |
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461 | |
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462 | float tanhf(a) float a; { return tanh(a); } |
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463 | float y0f(a) float a; { return y0(a); } |
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464 | float y1f(a) float a; { return y1(a); } |
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465 | #endif |
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