1 | /* -*- buffer-read-only: t -*- vi: set ro: */
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2 | /* DO NOT EDIT! GENERATED AUTOMATICALLY! */
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3 | /* Test of <float.h> substitute.
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4 | Copyright (C) 2011 Free Software Foundation, Inc.
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5 |
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6 | This program is free software: you can redistribute it and/or modify
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7 | it under the terms of the GNU General Public License as published by
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8 | the Free Software Foundation; either version 3 of the License, or
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9 | (at your option) any later version.
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10 |
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11 | This program is distributed in the hope that it will be useful,
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12 | but WITHOUT ANY WARRANTY; without even the implied warranty of
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13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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14 | GNU General Public License for more details.
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15 |
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16 | You should have received a copy of the GNU General Public License
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17 | along with this program. If not, see <http://www.gnu.org/licenses/>. */
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18 |
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19 | /* Written by Bruno Haible <bruno@clisp.org>, 2011. */
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20 |
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21 | #include <config.h>
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22 |
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23 | #include <float.h>
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24 |
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25 | #include "fpucw.h"
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26 | #include "macros.h"
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27 |
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28 | /* Check that FLT_RADIX is a constant expression. */
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29 | int a[] = { FLT_RADIX };
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30 |
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31 | #if FLT_RADIX == 2
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32 |
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33 | /* Return 2^n. */
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34 | static float
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35 | pow2f (int n)
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36 | {
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37 | int k = n;
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38 | volatile float x = 1;
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39 | volatile float y = 2;
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40 | /* Invariant: 2^n == x * y^k. */
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41 | if (k < 0)
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42 | {
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43 | y = 0.5f;
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44 | k = - k;
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45 | }
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46 | while (k > 0)
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47 | {
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48 | if (k != 2 * (k / 2))
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49 | {
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50 | x = x * y;
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51 | k = k - 1;
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52 | }
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53 | if (k == 0)
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54 | break;
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55 | y = y * y;
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56 | k = k / 2;
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57 | }
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58 | /* Now k == 0, hence x == 2^n. */
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59 | return x;
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60 | }
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61 |
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62 | /* Return 2^n. */
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63 | static double
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64 | pow2d (int n)
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65 | {
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66 | int k = n;
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67 | volatile double x = 1;
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68 | volatile double y = 2;
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69 | /* Invariant: 2^n == x * y^k. */
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70 | if (k < 0)
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71 | {
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72 | y = 0.5;
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73 | k = - k;
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74 | }
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75 | while (k > 0)
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76 | {
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77 | if (k != 2 * (k / 2))
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78 | {
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79 | x = x * y;
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80 | k = k - 1;
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81 | }
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82 | if (k == 0)
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83 | break;
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84 | y = y * y;
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85 | k = k / 2;
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86 | }
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87 | /* Now k == 0, hence x == 2^n. */
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88 | return x;
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89 | }
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90 |
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91 | /* Return 2^n. */
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92 | static long double
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93 | pow2l (int n)
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94 | {
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95 | int k = n;
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96 | volatile long double x = 1;
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97 | volatile long double y = 2;
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98 | /* Invariant: 2^n == x * y^k. */
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99 | if (k < 0)
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100 | {
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101 | y = 0.5L;
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102 | k = - k;
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103 | }
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104 | while (k > 0)
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105 | {
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106 | if (k != 2 * (k / 2))
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107 | {
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108 | x = x * y;
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109 | k = k - 1;
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110 | }
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111 | if (k == 0)
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112 | break;
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113 | y = y * y;
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114 | k = k / 2;
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115 | }
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116 | /* Now k == 0, hence x == 2^n. */
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117 | return x;
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118 | }
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119 |
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120 | /* ----------------------- Check macros for 'float' ----------------------- */
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121 |
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122 | /* Check that the FLT_* macros expand to constant expressions. */
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123 | int fb[] =
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124 | {
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125 | FLT_MANT_DIG, FLT_MIN_EXP, FLT_MAX_EXP,
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126 | FLT_DIG, FLT_MIN_10_EXP, FLT_MAX_10_EXP
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127 | };
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128 | float fc[] = { FLT_EPSILON, FLT_MIN, FLT_MAX };
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129 |
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130 | static void
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131 | test_float (void)
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132 | {
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133 | /* Check that the value of FLT_MIN_EXP is well parenthesized. */
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134 | ASSERT ((FLT_MIN_EXP % 101111) == (FLT_MIN_EXP) % 101111);
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135 |
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136 | /* Check that the value of DBL_MIN_10_EXP is well parenthesized. */
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137 | ASSERT ((FLT_MIN_10_EXP % 101111) == (FLT_MIN_10_EXP) % 101111);
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138 |
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139 | /* Check that 'float' is as specified in IEEE 754. */
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140 | ASSERT (FLT_MANT_DIG == 24);
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141 | ASSERT (FLT_MIN_EXP == -125);
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142 | ASSERT (FLT_MAX_EXP == 128);
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143 |
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144 | /* Check the value of FLT_MIN_10_EXP. */
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145 | ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));
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146 |
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147 | /* Check the value of FLT_DIG. */
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148 | ASSERT (FLT_DIG == (int) ((FLT_MANT_DIG - 1) * 0.30103));
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149 |
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150 | /* Check the value of FLT_MIN_10_EXP. */
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151 | ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));
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152 |
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153 | /* Check the value of FLT_MAX_10_EXP. */
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154 | ASSERT (FLT_MAX_10_EXP == (int) (FLT_MAX_EXP * 0.30103));
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155 |
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156 | /* Check the value of FLT_MAX. */
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157 | {
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158 | volatile float m = FLT_MAX;
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159 | int n;
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160 |
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161 | ASSERT (m + m > m);
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162 | for (n = 0; n <= 2 * FLT_MANT_DIG; n++)
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163 | {
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164 | volatile float pow2_n = pow2f (n); /* 2^n */
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165 | volatile float x = m + (m / pow2_n);
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166 | if (x > m)
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167 | ASSERT (x + x == x);
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168 | else
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169 | ASSERT (!(x + x == x));
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170 | }
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171 | }
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172 |
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173 | /* Check the value of FLT_MIN. */
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174 | {
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175 | volatile float m = FLT_MIN;
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176 | volatile float x = pow2f (FLT_MIN_EXP - 1);
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177 | ASSERT (m == x);
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178 | }
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179 |
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180 | /* Check the value of FLT_EPSILON. */
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181 | {
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182 | volatile float e = FLT_EPSILON;
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183 | volatile float me;
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184 | int n;
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185 |
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186 | me = 1.0f + e;
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187 | ASSERT (me > 1.0f);
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188 | ASSERT (me - 1.0f == e);
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189 | for (n = 0; n <= 2 * FLT_MANT_DIG; n++)
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190 | {
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191 | volatile float half_n = pow2f (- n); /* 2^-n */
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192 | volatile float x = me - half_n;
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193 | if (x < me)
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194 | ASSERT (x <= 1.0f);
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195 | }
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196 | }
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197 | }
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198 |
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199 | /* ----------------------- Check macros for 'double' ----------------------- */
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200 |
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201 | /* Check that the DBL_* macros expand to constant expressions. */
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202 | int db[] =
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203 | {
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204 | DBL_MANT_DIG, DBL_MIN_EXP, DBL_MAX_EXP,
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205 | DBL_DIG, DBL_MIN_10_EXP, DBL_MAX_10_EXP
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206 | };
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207 | double dc[] = { DBL_EPSILON, DBL_MIN, DBL_MAX };
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208 |
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209 | static void
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210 | test_double (void)
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211 | {
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212 | /* Check that the value of DBL_MIN_EXP is well parenthesized. */
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213 | ASSERT ((DBL_MIN_EXP % 101111) == (DBL_MIN_EXP) % 101111);
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214 |
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215 | /* Check that the value of DBL_MIN_10_EXP is well parenthesized. */
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216 | ASSERT ((DBL_MIN_10_EXP % 101111) == (DBL_MIN_10_EXP) % 101111);
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217 |
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218 | /* Check that 'double' is as specified in IEEE 754. */
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219 | ASSERT (DBL_MANT_DIG == 53);
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220 | ASSERT (DBL_MIN_EXP == -1021);
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221 | ASSERT (DBL_MAX_EXP == 1024);
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222 |
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223 | /* Check the value of DBL_MIN_10_EXP. */
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224 | ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));
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225 |
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226 | /* Check the value of DBL_DIG. */
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227 | ASSERT (DBL_DIG == (int) ((DBL_MANT_DIG - 1) * 0.30103));
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228 |
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229 | /* Check the value of DBL_MIN_10_EXP. */
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230 | ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));
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231 |
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232 | /* Check the value of DBL_MAX_10_EXP. */
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233 | ASSERT (DBL_MAX_10_EXP == (int) (DBL_MAX_EXP * 0.30103));
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234 |
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235 | /* Check the value of DBL_MAX. */
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236 | {
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237 | volatile double m = DBL_MAX;
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238 | int n;
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239 |
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240 | ASSERT (m + m > m);
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241 | for (n = 0; n <= 2 * DBL_MANT_DIG; n++)
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242 | {
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243 | volatile double pow2_n = pow2d (n); /* 2^n */
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244 | volatile double x = m + (m / pow2_n);
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245 | if (x > m)
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246 | ASSERT (x + x == x);
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247 | else
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248 | ASSERT (!(x + x == x));
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249 | }
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250 | }
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251 |
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252 | /* Check the value of DBL_MIN. */
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253 | {
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254 | volatile double m = DBL_MIN;
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255 | volatile double x = pow2d (DBL_MIN_EXP - 1);
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256 | ASSERT (m == x);
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257 | }
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258 |
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259 | /* Check the value of DBL_EPSILON. */
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260 | {
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261 | volatile double e = DBL_EPSILON;
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262 | volatile double me;
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263 | int n;
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264 |
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265 | me = 1.0 + e;
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266 | ASSERT (me > 1.0);
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267 | ASSERT (me - 1.0 == e);
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268 | for (n = 0; n <= 2 * DBL_MANT_DIG; n++)
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269 | {
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270 | volatile double half_n = pow2d (- n); /* 2^-n */
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271 | volatile double x = me - half_n;
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272 | if (x < me)
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273 | ASSERT (x <= 1.0);
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274 | }
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275 | }
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276 | }
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277 |
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278 | /* -------------------- Check macros for 'long double' -------------------- */
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279 |
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280 | /* Check that the LDBL_* macros expand to constant expressions. */
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281 | int lb[] =
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282 | {
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283 | LDBL_MANT_DIG, LDBL_MIN_EXP, LDBL_MAX_EXP,
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284 | LDBL_DIG, LDBL_MIN_10_EXP, LDBL_MAX_10_EXP
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285 | };
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286 | long double lc1 = LDBL_EPSILON;
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287 | long double lc2 = LDBL_MIN;
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288 | #if 0 /* LDBL_MAX is not a constant expression on some platforms. */
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289 | long double lc3 = LDBL_MAX;
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290 | #endif
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291 |
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292 | static void
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293 | test_long_double (void)
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294 | {
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295 | /* Check that the value of LDBL_MIN_EXP is well parenthesized. */
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296 | ASSERT ((LDBL_MIN_EXP % 101111) == (LDBL_MIN_EXP) % 101111);
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297 |
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298 | /* Check that the value of LDBL_MIN_10_EXP is well parenthesized. */
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299 | ASSERT ((LDBL_MIN_10_EXP % 101111) == (LDBL_MIN_10_EXP) % 101111);
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300 |
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301 | /* Check that 'long double' is at least as wide as 'double'. */
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302 | ASSERT (LDBL_MANT_DIG >= DBL_MANT_DIG);
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303 |
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304 | /* Normally, we would also assert this:
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305 | ASSERT (LDBL_MIN_EXP <= DBL_MIN_EXP);
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306 | but at least on powerpc64 with gcc-4.4.4, it would fail:
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307 | $ :|gcc -dD -E -include stddef.h -|grep -E 'L?DBL_MIN_EXP'
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308 | #define __DBL_MIN_EXP__ (-1021)
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309 | #define __LDBL_MIN_EXP__ (-968)
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310 | */
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311 | ASSERT (LDBL_MAX_EXP >= DBL_MAX_EXP);
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312 |
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313 | /* Check the value of LDBL_DIG. */
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314 | ASSERT (LDBL_DIG == (int)((LDBL_MANT_DIG - 1) * 0.30103));
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315 |
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316 | /* Check the value of LDBL_MIN_10_EXP. */
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317 | ASSERT (LDBL_MIN_10_EXP == - (int) (- (LDBL_MIN_EXP - 1) * 0.30103));
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318 |
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319 | /* Check the value of LDBL_MAX_10_EXP. */
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320 | ASSERT (LDBL_MAX_10_EXP == (int) (LDBL_MAX_EXP * 0.30103));
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321 |
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322 | /* Check the value of LDBL_MAX. */
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323 | {
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324 | volatile long double m = LDBL_MAX;
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325 | int n;
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326 |
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327 | ASSERT (m + m > m);
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328 | for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)
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329 | {
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330 | volatile long double pow2_n = pow2l (n); /* 2^n */
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331 | volatile long double x = m + (m / pow2_n);
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332 | if (x > m)
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333 | ASSERT (x + x == x);
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334 | else
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335 | ASSERT (!(x + x == x));
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336 | }
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337 | }
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338 |
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339 | /* Check the value of LDBL_MIN. */
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340 | {
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341 | volatile long double m = LDBL_MIN;
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342 | volatile long double x = pow2l (LDBL_MIN_EXP - 1);
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343 | ASSERT (m == x);
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344 | }
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345 |
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346 | /* Check the value of LDBL_EPSILON. */
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347 | {
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348 | volatile long double e = LDBL_EPSILON;
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349 | volatile long double me;
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350 | int n;
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351 |
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352 | me = 1.0L + e;
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353 | ASSERT (me > 1.0L);
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354 | ASSERT (me - 1.0L == e);
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355 | for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)
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356 | {
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357 | volatile long double half_n = pow2l (- n); /* 2^-n */
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358 | volatile long double x = me - half_n;
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359 | if (x < me)
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360 | ASSERT (x <= 1.0L);
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361 | }
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362 | }
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363 | }
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364 |
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365 | int
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366 | main ()
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367 | {
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368 | test_float ();
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369 | test_double ();
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370 |
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371 | {
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372 | DECL_LONG_DOUBLE_ROUNDING
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373 |
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374 | BEGIN_LONG_DOUBLE_ROUNDING ();
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375 |
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376 | test_long_double ();
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377 |
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378 | END_LONG_DOUBLE_ROUNDING ();
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379 | }
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380 |
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381 | return 0;
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382 | }
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383 |
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384 | #else
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385 |
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386 | int
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387 | main ()
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388 | {
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389 | fprintf (stderr, "Skipping test: FLT_RADIX is not 2.\n");
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390 | return 77;
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391 | }
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392 |
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393 | #endif
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