1 | /*
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2 | * Copyright (C) 2005 Josef Cejka
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3 | * All rights reserved.
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4 | *
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5 | * Redistribution and use in source and binary forms, with or without
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6 | * modification, are permitted provided that the following conditions
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7 | * are met:
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8 | *
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9 | * - Redistributions of source code must retain the above copyright
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10 | * notice, this list of conditions and the following disclaimer.
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11 | * - Redistributions in binary form must reproduce the above copyright
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12 | * notice, this list of conditions and the following disclaimer in the
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13 | * documentation and/or other materials provided with the distribution.
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14 | * - The name of the author may not be used to endorse or promote products
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15 | * derived from this software without specific prior written permission.
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16 | *
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17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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27 | */
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28 |
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29 | #include "sftypes.h"
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30 | #include "conversion.h"
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31 | #include "comparison.h"
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32 |
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33 | float64 convertFloat32ToFloat64(float32 a)
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34 | {
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35 | float64 result;
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36 | __u64 frac;
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37 |
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38 | result.parts.sign = a.parts.sign;
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39 | result.parts.fraction = a.parts.fraction;
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40 | result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE );
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41 |
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42 | if ((isFloat32Infinity(a))||(isFloat32NaN(a))) {
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43 | result.parts.exp = 0x7FF;
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44 | /* TODO; check if its correct for SigNaNs*/
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45 | return result;
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46 | };
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47 |
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48 | result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS );
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49 | if (a.parts.exp == 0) {
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50 | /* normalize denormalized numbers */
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51 |
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52 | if (result.parts.fraction == 0ll) { /* fix zero */
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53 | result.parts.exp = 0ll;
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54 | return result;
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55 | }
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56 |
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57 | frac = result.parts.fraction;
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58 |
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59 | while (!(frac & (0x10000000000000ll))) {
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60 | frac <<= 1;
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61 | --result.parts.exp;
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62 | };
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63 |
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64 | ++result.parts.exp;
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65 | result.parts.fraction = frac;
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66 | };
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67 |
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68 | return result;
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69 |
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70 | }
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71 |
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72 | float32 convertFloat64ToFloat32(float64 a)
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73 | {
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74 | float32 result;
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75 | __s32 exp;
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76 | __u64 frac;
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77 |
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78 | result.parts.sign = a.parts.sign;
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79 |
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80 | if (isFloat64NaN(a)) {
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81 |
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82 | result.parts.exp = 0xFF;
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83 |
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84 | if (isFloat64SigNaN(a)) {
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85 | result.parts.fraction = 0x800000; /* set first bit of fraction nonzero */
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86 | return result;
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87 | }
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88 |
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89 | result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */
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90 | return result;
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91 | };
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92 |
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93 | if (isFloat64Infinity(a)) {
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94 | result.parts.fraction = 0;
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95 | result.parts.exp = 0xFF;
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96 | return result;
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97 | };
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98 |
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99 | exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS;
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100 |
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101 | if (exp >= 0xFF) {
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102 | /*FIXME: overflow*/
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103 | result.parts.fraction = 0;
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104 | result.parts.exp = 0xFF;
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105 | return result;
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106 |
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107 | } else if (exp <= 0 ) {
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108 |
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109 | /* underflow or denormalized */
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110 |
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111 | result.parts.exp = 0;
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112 |
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113 | exp *= -1;
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114 | if (exp > FLOAT32_FRACTION_SIZE ) {
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115 | /* FIXME: underflow */
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116 | result.parts.fraction = 0;
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117 | return result;
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118 | };
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119 |
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120 | /* denormalized */
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121 |
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122 | frac = a.parts.fraction;
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123 | frac |= 0x10000000000000ll; /* denormalize and set hidden bit */
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124 |
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125 | frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1);
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126 |
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127 | while (exp > 0) {
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128 | --exp;
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129 | frac >>= 1;
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130 | };
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131 | result.parts.fraction = frac;
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132 |
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133 | return result;
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134 | };
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135 |
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136 | result.parts.exp = exp;
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137 | result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE);
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138 | return result;
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139 | }
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140 |
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141 |
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142 | /** Helping procedure for converting float32 to uint32
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143 | * @param a floating point number in normalized form (no NaNs or Inf are checked )
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144 | * @return unsigned integer
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145 | */
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146 | static __u32 _float32_to_uint32_helper(float32 a)
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147 | {
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148 | __u32 frac;
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149 |
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150 | if (a.parts.exp < FLOAT32_BIAS) {
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151 | /*TODO: rounding*/
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152 | return 0;
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153 | }
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154 |
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155 | frac = a.parts.fraction;
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156 |
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157 | frac |= FLOAT32_HIDDEN_BIT_MASK;
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158 | /* shift fraction to left so hidden bit will be the most significant bit */
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159 | frac <<= 32 - FLOAT32_FRACTION_SIZE - 1;
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160 |
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161 | frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1;
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162 | if ((a.parts.sign == 1) && (frac != 0)) {
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163 | frac = ~frac;
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164 | ++frac;
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165 | }
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166 |
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167 | return frac;
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168 | }
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169 |
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170 | /* Convert float to unsigned int32
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171 | * FIXME: Im not sure what to return if overflow/underflow happens
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172 | * - now its the biggest or the smallest int
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173 | */
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174 | __u32 float32_to_uint32(float32 a)
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175 | {
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176 | if (isFloat32NaN(a)) {
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177 | return MAX_UINT32;
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178 | }
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179 |
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180 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) {
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181 | if (a.parts.sign) {
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182 | return MIN_UINT32;
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183 | }
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184 | return MAX_UINT32;
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185 | }
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186 |
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187 | return _float32_to_uint32_helper(a);
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188 | }
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189 |
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190 | /* Convert float to signed int32
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191 | * FIXME: Im not sure what to return if overflow/underflow happens
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192 | * - now its the biggest or the smallest int
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193 | */
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194 | __s32 float32_to_int32(float32 a)
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195 | {
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196 | if (isFloat32NaN(a)) {
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197 | return MAX_INT32;
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198 | }
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199 |
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200 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) {
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201 | if (a.parts.sign) {
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202 | return MIN_INT32;
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203 | }
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204 | return MAX_INT32;
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205 | }
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206 | return _float32_to_uint32_helper(a);
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207 | }
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208 |
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209 |
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210 | /** Helping procedure for converting float64 to uint64
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211 | * @param a floating point number in normalized form (no NaNs or Inf are checked )
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212 | * @return unsigned integer
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213 | */
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214 | static __u64 _float64_to_uint64_helper(float64 a)
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215 | {
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216 | __u64 frac;
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217 |
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218 | if (a.parts.exp < FLOAT64_BIAS) {
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219 | /*TODO: rounding*/
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220 | return 0;
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221 | }
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222 |
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223 | frac = a.parts.fraction;
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224 |
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225 | frac |= FLOAT64_HIDDEN_BIT_MASK;
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226 | /* shift fraction to left so hidden bit will be the most significant bit */
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227 | frac <<= 64 - FLOAT64_FRACTION_SIZE - 1;
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228 |
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229 | frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1;
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230 | if ((a.parts.sign == 1) && (frac != 0)) {
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231 | frac = ~frac;
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232 | ++frac;
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233 | }
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234 |
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235 | return frac;
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236 | }
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237 |
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238 | /* Convert float to unsigned int64
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239 | * FIXME: Im not sure what to return if overflow/underflow happens
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240 | * - now its the biggest or the smallest int
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241 | */
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242 | __u64 float64_to_uint64(float64 a)
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243 | {
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244 | if (isFloat64NaN(a)) {
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245 | return MAX_UINT64;
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246 | }
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247 |
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248 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) {
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249 | if (a.parts.sign) {
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250 | return MIN_UINT64;
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251 | }
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252 | return MAX_UINT64;
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253 | }
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254 |
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255 | return _float64_to_uint64_helper(a);
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256 | }
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257 |
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258 | /* Convert float to signed int64
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259 | * FIXME: Im not sure what to return if overflow/underflow happens
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260 | * - now its the biggest or the smallest int
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261 | */
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262 | __s64 float64_to_int64(float64 a)
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263 | {
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264 | if (isFloat64NaN(a)) {
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265 | return MAX_INT64;
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266 | }
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267 |
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268 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) {
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269 | if (a.parts.sign) {
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270 | return MIN_INT64;
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271 | }
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272 | return MAX_INT64;
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273 | }
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274 | return _float64_to_uint64_helper(a);
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275 | }
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276 |
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277 |
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278 |
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279 |
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280 |
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281 | /** Helping procedure for converting float32 to uint64
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282 | * @param a floating point number in normalized form (no NaNs or Inf are checked )
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283 | * @return unsigned integer
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284 | */
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285 | static __u64 _float32_to_uint64_helper(float32 a)
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286 | {
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287 | __u64 frac;
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288 |
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289 | if (a.parts.exp < FLOAT32_BIAS) {
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290 | /*TODO: rounding*/
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291 | return 0;
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292 | }
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293 |
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294 | frac = a.parts.fraction;
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295 |
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296 | frac |= FLOAT32_HIDDEN_BIT_MASK;
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297 | /* shift fraction to left so hidden bit will be the most significant bit */
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298 | frac <<= 64 - FLOAT32_FRACTION_SIZE - 1;
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299 |
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300 | frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1;
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301 | if ((a.parts.sign == 1) && (frac != 0)) {
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302 | frac = ~frac;
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303 | ++frac;
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304 | }
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305 |
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306 | return frac;
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307 | }
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308 |
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309 | /* Convert float to unsigned int64
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310 | * FIXME: Im not sure what to return if overflow/underflow happens
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311 | * - now its the biggest or the smallest int
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312 | */
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313 | __u64 float32_to_uint64(float32 a)
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314 | {
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315 | if (isFloat32NaN(a)) {
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316 | return MAX_UINT64;
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317 | }
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318 |
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319 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) {
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320 | if (a.parts.sign) {
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321 | return MIN_UINT64;
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322 | }
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323 | return MAX_UINT64;
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324 | }
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325 |
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326 | return _float32_to_uint64_helper(a);
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327 | }
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328 |
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329 | /* Convert float to signed int64
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330 | * FIXME: Im not sure what to return if overflow/underflow happens
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331 | * - now its the biggest or the smallest int
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332 | */
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333 | __s64 float32_to_int64(float32 a)
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334 | {
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335 | if (isFloat32NaN(a)) {
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336 | return MAX_INT64;
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337 | }
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338 |
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339 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) {
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340 | if (a.parts.sign) {
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341 | return (MIN_INT64);
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342 | }
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343 | return MAX_INT64;
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344 | }
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345 | return _float32_to_uint64_helper(a);
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346 | }
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347 |
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348 |
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349 | /* Convert float64 to unsigned int32
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350 | * FIXME: Im not sure what to return if overflow/underflow happens
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351 | * - now its the biggest or the smallest int
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352 | */
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353 | __u32 float64_to_uint32(float64 a)
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354 | {
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355 | if (isFloat64NaN(a)) {
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356 | return MAX_UINT32;
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357 | }
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358 |
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359 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) {
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360 | if (a.parts.sign) {
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361 | return MIN_UINT32;
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362 | }
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363 | return MAX_UINT32;
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364 | }
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365 |
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366 | return (__u32)_float64_to_uint64_helper(a);
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367 | }
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368 |
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369 | /* Convert float64 to signed int32
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370 | * FIXME: Im not sure what to return if overflow/underflow happens
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371 | * - now its the biggest or the smallest int
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372 | */
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373 | __s32 float64_to_int32(float64 a)
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374 | {
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375 | if (isFloat64NaN(a)) {
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376 | return MAX_INT32;
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377 | }
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378 |
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379 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) {
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380 | if (a.parts.sign) {
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381 | return MIN_INT32;
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382 | }
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383 | return MAX_INT32;
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384 | }
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385 | return (__s32)_float64_to_uint64_helper(a);
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386 | }
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387 |
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388 |
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