Mercurial > hg > CbC > CbC_gcc
annotate gcc/double-int.c @ 67:f6334be47118
update gcc from gcc-4.6-20100522 to gcc-4.6-20110318
author | nobuyasu <dimolto@cr.ie.u-ryukyu.ac.jp> |
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date | Tue, 22 Mar 2011 17:18:12 +0900 |
parents | b7f97abdc517 |
children | 04ced10e8804 |
rev | line source |
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0 | 1 /* Operations with long integers. |
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2 Copyright (C) 2006, 2007, 2009, 2010 Free Software Foundation, Inc. |
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3 |
0 | 4 This file is part of GCC. |
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5 |
0 | 6 GCC is free software; you can redistribute it and/or modify it |
7 under the terms of the GNU General Public License as published by the | |
8 Free Software Foundation; either version 3, or (at your option) any | |
9 later version. | |
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10 |
0 | 11 GCC is distributed in the hope that it will be useful, but WITHOUT |
12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
14 for more details. | |
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15 |
0 | 16 You should have received a copy of the GNU General Public License |
17 along with GCC; see the file COPYING3. If not see | |
18 <http://www.gnu.org/licenses/>. */ | |
19 | |
20 #include "config.h" | |
21 #include "system.h" | |
22 #include "coretypes.h" | |
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23 #include "tm.h" /* For SHIFT_COUNT_TRUNCATED. */ |
0 | 24 #include "tree.h" |
25 | |
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26 /* We know that A1 + B1 = SUM1, using 2's complement arithmetic and ignoring |
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27 overflow. Suppose A, B and SUM have the same respective signs as A1, B1, |
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28 and SUM1. Then this yields nonzero if overflow occurred during the |
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29 addition. |
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30 |
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31 Overflow occurs if A and B have the same sign, but A and SUM differ in |
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32 sign. Use `^' to test whether signs differ, and `< 0' to isolate the |
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33 sign. */ |
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34 #define OVERFLOW_SUM_SIGN(a, b, sum) ((~((a) ^ (b)) & ((a) ^ (sum))) < 0) |
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35 |
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36 /* To do constant folding on INTEGER_CST nodes requires two-word arithmetic. |
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37 We do that by representing the two-word integer in 4 words, with only |
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38 HOST_BITS_PER_WIDE_INT / 2 bits stored in each word, as a positive |
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39 number. The value of the word is LOWPART + HIGHPART * BASE. */ |
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40 |
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41 #define LOWPART(x) \ |
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42 ((x) & (((unsigned HOST_WIDE_INT) 1 << (HOST_BITS_PER_WIDE_INT / 2)) - 1)) |
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43 #define HIGHPART(x) \ |
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44 ((unsigned HOST_WIDE_INT) (x) >> HOST_BITS_PER_WIDE_INT / 2) |
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45 #define BASE ((unsigned HOST_WIDE_INT) 1 << HOST_BITS_PER_WIDE_INT / 2) |
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46 |
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47 /* Unpack a two-word integer into 4 words. |
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48 LOW and HI are the integer, as two `HOST_WIDE_INT' pieces. |
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49 WORDS points to the array of HOST_WIDE_INTs. */ |
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50 |
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51 static void |
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52 encode (HOST_WIDE_INT *words, unsigned HOST_WIDE_INT low, HOST_WIDE_INT hi) |
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53 { |
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54 words[0] = LOWPART (low); |
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55 words[1] = HIGHPART (low); |
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56 words[2] = LOWPART (hi); |
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57 words[3] = HIGHPART (hi); |
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58 } |
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59 |
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60 /* Pack an array of 4 words into a two-word integer. |
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61 WORDS points to the array of words. |
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62 The integer is stored into *LOW and *HI as two `HOST_WIDE_INT' pieces. */ |
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63 |
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64 static void |
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65 decode (HOST_WIDE_INT *words, unsigned HOST_WIDE_INT *low, |
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66 HOST_WIDE_INT *hi) |
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67 { |
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68 *low = words[0] + words[1] * BASE; |
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69 *hi = words[2] + words[3] * BASE; |
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70 } |
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71 |
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72 /* Add two doubleword integers with doubleword result. |
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73 Return nonzero if the operation overflows according to UNSIGNED_P. |
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74 Each argument is given as two `HOST_WIDE_INT' pieces. |
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75 One argument is L1 and H1; the other, L2 and H2. |
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76 The value is stored as two `HOST_WIDE_INT' pieces in *LV and *HV. */ |
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77 |
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78 int |
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79 add_double_with_sign (unsigned HOST_WIDE_INT l1, HOST_WIDE_INT h1, |
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80 unsigned HOST_WIDE_INT l2, HOST_WIDE_INT h2, |
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81 unsigned HOST_WIDE_INT *lv, HOST_WIDE_INT *hv, |
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82 bool unsigned_p) |
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83 { |
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84 unsigned HOST_WIDE_INT l; |
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85 HOST_WIDE_INT h; |
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86 |
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87 l = l1 + l2; |
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88 h = (HOST_WIDE_INT) ((unsigned HOST_WIDE_INT) h1 |
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89 + (unsigned HOST_WIDE_INT) h2 |
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90 + (l < l1)); |
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91 |
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92 *lv = l; |
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93 *hv = h; |
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94 |
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95 if (unsigned_p) |
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96 return ((unsigned HOST_WIDE_INT) h < (unsigned HOST_WIDE_INT) h1 |
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97 || (h == h1 |
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98 && l < l1)); |
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99 else |
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100 return OVERFLOW_SUM_SIGN (h1, h2, h); |
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101 } |
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102 |
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103 /* Negate a doubleword integer with doubleword result. |
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104 Return nonzero if the operation overflows, assuming it's signed. |
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105 The argument is given as two `HOST_WIDE_INT' pieces in L1 and H1. |
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106 The value is stored as two `HOST_WIDE_INT' pieces in *LV and *HV. */ |
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107 |
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108 int |
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109 neg_double (unsigned HOST_WIDE_INT l1, HOST_WIDE_INT h1, |
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110 unsigned HOST_WIDE_INT *lv, HOST_WIDE_INT *hv) |
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111 { |
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112 if (l1 == 0) |
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113 { |
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114 *lv = 0; |
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115 *hv = - h1; |
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116 return (*hv & h1) < 0; |
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117 } |
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118 else |
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119 { |
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120 *lv = -l1; |
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121 *hv = ~h1; |
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122 return 0; |
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123 } |
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124 } |
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125 |
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126 /* Multiply two doubleword integers with doubleword result. |
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127 Return nonzero if the operation overflows according to UNSIGNED_P. |
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128 Each argument is given as two `HOST_WIDE_INT' pieces. |
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129 One argument is L1 and H1; the other, L2 and H2. |
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130 The value is stored as two `HOST_WIDE_INT' pieces in *LV and *HV. */ |
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131 |
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132 int |
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133 mul_double_with_sign (unsigned HOST_WIDE_INT l1, HOST_WIDE_INT h1, |
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134 unsigned HOST_WIDE_INT l2, HOST_WIDE_INT h2, |
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135 unsigned HOST_WIDE_INT *lv, HOST_WIDE_INT *hv, |
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136 bool unsigned_p) |
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137 { |
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138 HOST_WIDE_INT arg1[4]; |
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139 HOST_WIDE_INT arg2[4]; |
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140 HOST_WIDE_INT prod[4 * 2]; |
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141 unsigned HOST_WIDE_INT carry; |
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142 int i, j, k; |
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143 unsigned HOST_WIDE_INT toplow, neglow; |
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144 HOST_WIDE_INT tophigh, neghigh; |
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145 |
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146 encode (arg1, l1, h1); |
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147 encode (arg2, l2, h2); |
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148 |
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149 memset (prod, 0, sizeof prod); |
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150 |
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151 for (i = 0; i < 4; i++) |
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152 { |
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153 carry = 0; |
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154 for (j = 0; j < 4; j++) |
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155 { |
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156 k = i + j; |
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157 /* This product is <= 0xFFFE0001, the sum <= 0xFFFF0000. */ |
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158 carry += arg1[i] * arg2[j]; |
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159 /* Since prod[p] < 0xFFFF, this sum <= 0xFFFFFFFF. */ |
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160 carry += prod[k]; |
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161 prod[k] = LOWPART (carry); |
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162 carry = HIGHPART (carry); |
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163 } |
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164 prod[i + 4] = carry; |
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165 } |
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166 |
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167 decode (prod, lv, hv); |
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168 decode (prod + 4, &toplow, &tophigh); |
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169 |
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170 /* Unsigned overflow is immediate. */ |
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171 if (unsigned_p) |
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172 return (toplow | tophigh) != 0; |
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173 |
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174 /* Check for signed overflow by calculating the signed representation of the |
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175 top half of the result; it should agree with the low half's sign bit. */ |
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176 if (h1 < 0) |
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177 { |
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178 neg_double (l2, h2, &neglow, &neghigh); |
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179 add_double (neglow, neghigh, toplow, tophigh, &toplow, &tophigh); |
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180 } |
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181 if (h2 < 0) |
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182 { |
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183 neg_double (l1, h1, &neglow, &neghigh); |
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184 add_double (neglow, neghigh, toplow, tophigh, &toplow, &tophigh); |
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185 } |
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186 return (*hv < 0 ? ~(toplow & tophigh) : toplow | tophigh) != 0; |
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187 } |
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188 |
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189 /* Shift the doubleword integer in L1, H1 left by COUNT places |
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190 keeping only PREC bits of result. |
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191 Shift right if COUNT is negative. |
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192 ARITH nonzero specifies arithmetic shifting; otherwise use logical shift. |
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193 Store the value as two `HOST_WIDE_INT' pieces in *LV and *HV. */ |
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194 |
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195 void |
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196 lshift_double (unsigned HOST_WIDE_INT l1, HOST_WIDE_INT h1, |
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197 HOST_WIDE_INT count, unsigned int prec, |
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198 unsigned HOST_WIDE_INT *lv, HOST_WIDE_INT *hv, bool arith) |
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199 { |
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200 unsigned HOST_WIDE_INT signmask; |
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201 |
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202 if (count < 0) |
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203 { |
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204 rshift_double (l1, h1, -count, prec, lv, hv, arith); |
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205 return; |
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206 } |
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207 |
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208 if (SHIFT_COUNT_TRUNCATED) |
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209 count %= prec; |
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210 |
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211 if (count >= 2 * HOST_BITS_PER_WIDE_INT) |
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212 { |
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213 /* Shifting by the host word size is undefined according to the |
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214 ANSI standard, so we must handle this as a special case. */ |
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215 *hv = 0; |
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216 *lv = 0; |
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217 } |
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218 else if (count >= HOST_BITS_PER_WIDE_INT) |
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219 { |
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220 *hv = l1 << (count - HOST_BITS_PER_WIDE_INT); |
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221 *lv = 0; |
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222 } |
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223 else |
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224 { |
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225 *hv = (((unsigned HOST_WIDE_INT) h1 << count) |
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226 | (l1 >> (HOST_BITS_PER_WIDE_INT - count - 1) >> 1)); |
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227 *lv = l1 << count; |
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228 } |
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229 |
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230 /* Sign extend all bits that are beyond the precision. */ |
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231 |
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232 signmask = -((prec > HOST_BITS_PER_WIDE_INT |
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233 ? ((unsigned HOST_WIDE_INT) *hv |
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234 >> (prec - HOST_BITS_PER_WIDE_INT - 1)) |
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235 : (*lv >> (prec - 1))) & 1); |
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236 |
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237 if (prec >= 2 * HOST_BITS_PER_WIDE_INT) |
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238 ; |
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239 else if (prec >= HOST_BITS_PER_WIDE_INT) |
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240 { |
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241 *hv &= ~((HOST_WIDE_INT) (-1) << (prec - HOST_BITS_PER_WIDE_INT)); |
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242 *hv |= signmask << (prec - HOST_BITS_PER_WIDE_INT); |
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243 } |
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244 else |
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245 { |
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246 *hv = signmask; |
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247 *lv &= ~((unsigned HOST_WIDE_INT) (-1) << prec); |
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248 *lv |= signmask << prec; |
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249 } |
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250 } |
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251 |
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252 /* Shift the doubleword integer in L1, H1 right by COUNT places |
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253 keeping only PREC bits of result. Shift left if COUNT is negative. |
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254 ARITH nonzero specifies arithmetic shifting; otherwise use logical shift. |
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255 Store the value as two `HOST_WIDE_INT' pieces in *LV and *HV. */ |
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256 |
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257 void |
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258 rshift_double (unsigned HOST_WIDE_INT l1, HOST_WIDE_INT h1, |
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259 HOST_WIDE_INT count, unsigned int prec, |
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260 unsigned HOST_WIDE_INT *lv, HOST_WIDE_INT *hv, |
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261 bool arith) |
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262 { |
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263 unsigned HOST_WIDE_INT signmask; |
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264 |
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265 if (count < 0) |
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266 { |
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267 lshift_double (l1, h1, -count, prec, lv, hv, arith); |
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268 return; |
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269 } |
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270 |
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271 signmask = (arith |
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272 ? -((unsigned HOST_WIDE_INT) h1 >> (HOST_BITS_PER_WIDE_INT - 1)) |
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273 : 0); |
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274 |
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275 if (SHIFT_COUNT_TRUNCATED) |
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276 count %= prec; |
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277 |
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278 if (count >= 2 * HOST_BITS_PER_WIDE_INT) |
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279 { |
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280 /* Shifting by the host word size is undefined according to the |
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281 ANSI standard, so we must handle this as a special case. */ |
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282 *hv = 0; |
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283 *lv = 0; |
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284 } |
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285 else if (count >= HOST_BITS_PER_WIDE_INT) |
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286 { |
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287 *hv = 0; |
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288 *lv = (unsigned HOST_WIDE_INT) h1 >> (count - HOST_BITS_PER_WIDE_INT); |
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289 } |
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290 else |
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291 { |
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292 *hv = (unsigned HOST_WIDE_INT) h1 >> count; |
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293 *lv = ((l1 >> count) |
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294 | ((unsigned HOST_WIDE_INT) h1 |
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295 << (HOST_BITS_PER_WIDE_INT - count - 1) << 1)); |
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296 } |
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297 |
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298 /* Zero / sign extend all bits that are beyond the precision. */ |
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299 |
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300 if (count >= (HOST_WIDE_INT)prec) |
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301 { |
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302 *hv = signmask; |
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303 *lv = signmask; |
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304 } |
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305 else if ((prec - count) >= 2 * HOST_BITS_PER_WIDE_INT) |
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306 ; |
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307 else if ((prec - count) >= HOST_BITS_PER_WIDE_INT) |
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308 { |
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309 *hv &= ~((HOST_WIDE_INT) (-1) << (prec - count - HOST_BITS_PER_WIDE_INT)); |
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310 *hv |= signmask << (prec - count - HOST_BITS_PER_WIDE_INT); |
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311 } |
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312 else |
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313 { |
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314 *hv = signmask; |
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315 *lv &= ~((unsigned HOST_WIDE_INT) (-1) << (prec - count)); |
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316 *lv |= signmask << (prec - count); |
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317 } |
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318 } |
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319 |
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320 /* Divide doubleword integer LNUM, HNUM by doubleword integer LDEN, HDEN |
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321 for a quotient (stored in *LQUO, *HQUO) and remainder (in *LREM, *HREM). |
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322 CODE is a tree code for a kind of division, one of |
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323 TRUNC_DIV_EXPR, FLOOR_DIV_EXPR, CEIL_DIV_EXPR, ROUND_DIV_EXPR |
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324 or EXACT_DIV_EXPR |
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325 It controls how the quotient is rounded to an integer. |
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326 Return nonzero if the operation overflows. |
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327 UNS nonzero says do unsigned division. */ |
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328 |
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329 int |
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330 div_and_round_double (unsigned code, int uns, |
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331 /* num == numerator == dividend */ |
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332 unsigned HOST_WIDE_INT lnum_orig, |
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333 HOST_WIDE_INT hnum_orig, |
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334 /* den == denominator == divisor */ |
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335 unsigned HOST_WIDE_INT lden_orig, |
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336 HOST_WIDE_INT hden_orig, |
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337 unsigned HOST_WIDE_INT *lquo, |
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338 HOST_WIDE_INT *hquo, unsigned HOST_WIDE_INT *lrem, |
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339 HOST_WIDE_INT *hrem) |
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340 { |
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341 int quo_neg = 0; |
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342 HOST_WIDE_INT num[4 + 1]; /* extra element for scaling. */ |
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343 HOST_WIDE_INT den[4], quo[4]; |
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344 int i, j; |
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345 unsigned HOST_WIDE_INT work; |
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346 unsigned HOST_WIDE_INT carry = 0; |
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347 unsigned HOST_WIDE_INT lnum = lnum_orig; |
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348 HOST_WIDE_INT hnum = hnum_orig; |
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349 unsigned HOST_WIDE_INT lden = lden_orig; |
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350 HOST_WIDE_INT hden = hden_orig; |
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351 int overflow = 0; |
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352 |
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353 if (hden == 0 && lden == 0) |
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354 overflow = 1, lden = 1; |
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355 |
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356 /* Calculate quotient sign and convert operands to unsigned. */ |
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357 if (!uns) |
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358 { |
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359 if (hnum < 0) |
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360 { |
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361 quo_neg = ~ quo_neg; |
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362 /* (minimum integer) / (-1) is the only overflow case. */ |
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363 if (neg_double (lnum, hnum, &lnum, &hnum) |
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364 && ((HOST_WIDE_INT) lden & hden) == -1) |
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365 overflow = 1; |
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366 } |
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367 if (hden < 0) |
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368 { |
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369 quo_neg = ~ quo_neg; |
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370 neg_double (lden, hden, &lden, &hden); |
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371 } |
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372 } |
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373 |
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374 if (hnum == 0 && hden == 0) |
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375 { /* single precision */ |
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376 *hquo = *hrem = 0; |
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377 /* This unsigned division rounds toward zero. */ |
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378 *lquo = lnum / lden; |
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379 goto finish_up; |
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380 } |
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381 |
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382 if (hnum == 0) |
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383 { /* trivial case: dividend < divisor */ |
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384 /* hden != 0 already checked. */ |
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385 *hquo = *lquo = 0; |
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386 *hrem = hnum; |
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387 *lrem = lnum; |
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388 goto finish_up; |
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389 } |
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390 |
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391 memset (quo, 0, sizeof quo); |
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392 |
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393 memset (num, 0, sizeof num); /* to zero 9th element */ |
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394 memset (den, 0, sizeof den); |
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395 |
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396 encode (num, lnum, hnum); |
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397 encode (den, lden, hden); |
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398 |
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399 /* Special code for when the divisor < BASE. */ |
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400 if (hden == 0 && lden < (unsigned HOST_WIDE_INT) BASE) |
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changeset
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401 { |
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402 /* hnum != 0 already checked. */ |
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403 for (i = 4 - 1; i >= 0; i--) |
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404 { |
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405 work = num[i] + carry * BASE; |
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406 quo[i] = work / lden; |
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407 carry = work % lden; |
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408 } |
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409 } |
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410 else |
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411 { |
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412 /* Full double precision division, |
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413 with thanks to Don Knuth's "Seminumerical Algorithms". */ |
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414 int num_hi_sig, den_hi_sig; |
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415 unsigned HOST_WIDE_INT quo_est, scale; |
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416 |
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417 /* Find the highest nonzero divisor digit. */ |
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418 for (i = 4 - 1;; i--) |
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419 if (den[i] != 0) |
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420 { |
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421 den_hi_sig = i; |
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422 break; |
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423 } |
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|
424 |
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425 /* Insure that the first digit of the divisor is at least BASE/2. |
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426 This is required by the quotient digit estimation algorithm. */ |
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427 |
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428 scale = BASE / (den[den_hi_sig] + 1); |
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429 if (scale > 1) |
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430 { /* scale divisor and dividend */ |
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431 carry = 0; |
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432 for (i = 0; i <= 4 - 1; i++) |
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433 { |
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434 work = (num[i] * scale) + carry; |
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435 num[i] = LOWPART (work); |
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436 carry = HIGHPART (work); |
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437 } |
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438 |
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439 num[4] = carry; |
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440 carry = 0; |
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441 for (i = 0; i <= 4 - 1; i++) |
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442 { |
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443 work = (den[i] * scale) + carry; |
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444 den[i] = LOWPART (work); |
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445 carry = HIGHPART (work); |
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446 if (den[i] != 0) den_hi_sig = i; |
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447 } |
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448 } |
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449 |
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450 num_hi_sig = 4; |
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451 |
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452 /* Main loop */ |
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453 for (i = num_hi_sig - den_hi_sig - 1; i >= 0; i--) |
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454 { |
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455 /* Guess the next quotient digit, quo_est, by dividing the first |
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456 two remaining dividend digits by the high order quotient digit. |
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457 quo_est is never low and is at most 2 high. */ |
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458 unsigned HOST_WIDE_INT tmp; |
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459 |
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460 num_hi_sig = i + den_hi_sig + 1; |
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461 work = num[num_hi_sig] * BASE + num[num_hi_sig - 1]; |
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462 if (num[num_hi_sig] != den[den_hi_sig]) |
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463 quo_est = work / den[den_hi_sig]; |
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464 else |
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465 quo_est = BASE - 1; |
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466 |
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467 /* Refine quo_est so it's usually correct, and at most one high. */ |
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468 tmp = work - quo_est * den[den_hi_sig]; |
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469 if (tmp < BASE |
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470 && (den[den_hi_sig - 1] * quo_est |
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471 > (tmp * BASE + num[num_hi_sig - 2]))) |
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472 quo_est--; |
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473 |
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474 /* Try QUO_EST as the quotient digit, by multiplying the |
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475 divisor by QUO_EST and subtracting from the remaining dividend. |
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476 Keep in mind that QUO_EST is the I - 1st digit. */ |
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477 |
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478 carry = 0; |
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479 for (j = 0; j <= den_hi_sig; j++) |
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480 { |
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481 work = quo_est * den[j] + carry; |
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482 carry = HIGHPART (work); |
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483 work = num[i + j] - LOWPART (work); |
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484 num[i + j] = LOWPART (work); |
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485 carry += HIGHPART (work) != 0; |
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486 } |
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487 |
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488 /* If quo_est was high by one, then num[i] went negative and |
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489 we need to correct things. */ |
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490 if (num[num_hi_sig] < (HOST_WIDE_INT) carry) |
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491 { |
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492 quo_est--; |
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493 carry = 0; /* add divisor back in */ |
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494 for (j = 0; j <= den_hi_sig; j++) |
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495 { |
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496 work = num[i + j] + den[j] + carry; |
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497 carry = HIGHPART (work); |
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498 num[i + j] = LOWPART (work); |
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499 } |
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500 |
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501 num [num_hi_sig] += carry; |
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502 } |
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503 |
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504 /* Store the quotient digit. */ |
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505 quo[i] = quo_est; |
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506 } |
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507 } |
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508 |
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509 decode (quo, lquo, hquo); |
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510 |
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511 finish_up: |
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512 /* If result is negative, make it so. */ |
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513 if (quo_neg) |
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514 neg_double (*lquo, *hquo, lquo, hquo); |
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515 |
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516 /* Compute trial remainder: rem = num - (quo * den) */ |
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517 mul_double (*lquo, *hquo, lden_orig, hden_orig, lrem, hrem); |
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518 neg_double (*lrem, *hrem, lrem, hrem); |
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519 add_double (lnum_orig, hnum_orig, *lrem, *hrem, lrem, hrem); |
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520 |
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521 switch (code) |
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522 { |
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523 case TRUNC_DIV_EXPR: |
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524 case TRUNC_MOD_EXPR: /* round toward zero */ |
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525 case EXACT_DIV_EXPR: /* for this one, it shouldn't matter */ |
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526 return overflow; |
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527 |
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528 case FLOOR_DIV_EXPR: |
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529 case FLOOR_MOD_EXPR: /* round toward negative infinity */ |
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530 if (quo_neg && (*lrem != 0 || *hrem != 0)) /* ratio < 0 && rem != 0 */ |
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531 { |
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532 /* quo = quo - 1; */ |
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533 add_double (*lquo, *hquo, (HOST_WIDE_INT) -1, (HOST_WIDE_INT) -1, |
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534 lquo, hquo); |
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535 } |
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|
536 else |
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537 return overflow; |
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538 break; |
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539 |
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540 case CEIL_DIV_EXPR: |
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541 case CEIL_MOD_EXPR: /* round toward positive infinity */ |
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542 if (!quo_neg && (*lrem != 0 || *hrem != 0)) /* ratio > 0 && rem != 0 */ |
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543 { |
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544 add_double (*lquo, *hquo, (HOST_WIDE_INT) 1, (HOST_WIDE_INT) 0, |
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545 lquo, hquo); |
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546 } |
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547 else |
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548 return overflow; |
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549 break; |
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550 |
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551 case ROUND_DIV_EXPR: |
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552 case ROUND_MOD_EXPR: /* round to closest integer */ |
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553 { |
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554 unsigned HOST_WIDE_INT labs_rem = *lrem; |
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555 HOST_WIDE_INT habs_rem = *hrem; |
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556 unsigned HOST_WIDE_INT labs_den = lden, ltwice; |
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557 HOST_WIDE_INT habs_den = hden, htwice; |
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558 |
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559 /* Get absolute values. */ |
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560 if (*hrem < 0) |
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561 neg_double (*lrem, *hrem, &labs_rem, &habs_rem); |
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562 if (hden < 0) |
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563 neg_double (lden, hden, &labs_den, &habs_den); |
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564 |
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565 /* If (2 * abs (lrem) >= abs (lden)), adjust the quotient. */ |
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566 mul_double ((HOST_WIDE_INT) 2, (HOST_WIDE_INT) 0, |
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567 labs_rem, habs_rem, <wice, &htwice); |
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568 |
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569 if (((unsigned HOST_WIDE_INT) habs_den |
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570 < (unsigned HOST_WIDE_INT) htwice) |
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571 || (((unsigned HOST_WIDE_INT) habs_den |
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572 == (unsigned HOST_WIDE_INT) htwice) |
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573 && (labs_den <= ltwice))) |
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574 { |
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575 if (*hquo < 0) |
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576 /* quo = quo - 1; */ |
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577 add_double (*lquo, *hquo, |
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578 (HOST_WIDE_INT) -1, (HOST_WIDE_INT) -1, lquo, hquo); |
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579 else |
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580 /* quo = quo + 1; */ |
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581 add_double (*lquo, *hquo, (HOST_WIDE_INT) 1, (HOST_WIDE_INT) 0, |
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582 lquo, hquo); |
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583 } |
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584 else |
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585 return overflow; |
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586 } |
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587 break; |
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|
588 |
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589 default: |
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590 gcc_unreachable (); |
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591 } |
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592 |
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593 /* Compute true remainder: rem = num - (quo * den) */ |
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594 mul_double (*lquo, *hquo, lden_orig, hden_orig, lrem, hrem); |
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595 neg_double (*lrem, *hrem, lrem, hrem); |
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596 add_double (lnum_orig, hnum_orig, *lrem, *hrem, lrem, hrem); |
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597 return overflow; |
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598 } |
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|
599 |
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600 |
0 | 601 /* Returns mask for PREC bits. */ |
602 | |
603 double_int | |
604 double_int_mask (unsigned prec) | |
605 { | |
606 unsigned HOST_WIDE_INT m; | |
607 double_int mask; | |
608 | |
609 if (prec > HOST_BITS_PER_WIDE_INT) | |
610 { | |
611 prec -= HOST_BITS_PER_WIDE_INT; | |
612 m = ((unsigned HOST_WIDE_INT) 2 << (prec - 1)) - 1; | |
613 mask.high = (HOST_WIDE_INT) m; | |
614 mask.low = ALL_ONES; | |
615 } | |
616 else | |
617 { | |
618 mask.high = 0; | |
619 mask.low = ((unsigned HOST_WIDE_INT) 2 << (prec - 1)) - 1; | |
620 } | |
621 | |
622 return mask; | |
623 } | |
624 | |
625 /* Clears the bits of CST over the precision PREC. If UNS is false, the bits | |
626 outside of the precision are set to the sign bit (i.e., the PREC-th one), | |
627 otherwise they are set to zero. | |
55
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|
628 |
0 | 629 This corresponds to returning the value represented by PREC lowermost bits |
630 of CST, with the given signedness. */ | |
631 | |
632 double_int | |
633 double_int_ext (double_int cst, unsigned prec, bool uns) | |
634 { | |
635 if (uns) | |
636 return double_int_zext (cst, prec); | |
637 else | |
638 return double_int_sext (cst, prec); | |
639 } | |
640 | |
641 /* The same as double_int_ext with UNS = true. */ | |
642 | |
643 double_int | |
644 double_int_zext (double_int cst, unsigned prec) | |
645 { | |
646 double_int mask = double_int_mask (prec); | |
647 double_int r; | |
648 | |
649 r.low = cst.low & mask.low; | |
650 r.high = cst.high & mask.high; | |
651 | |
652 return r; | |
653 } | |
654 | |
655 /* The same as double_int_ext with UNS = false. */ | |
656 | |
657 double_int | |
658 double_int_sext (double_int cst, unsigned prec) | |
659 { | |
660 double_int mask = double_int_mask (prec); | |
661 double_int r; | |
662 unsigned HOST_WIDE_INT snum; | |
663 | |
664 if (prec <= HOST_BITS_PER_WIDE_INT) | |
665 snum = cst.low; | |
666 else | |
667 { | |
668 prec -= HOST_BITS_PER_WIDE_INT; | |
669 snum = (unsigned HOST_WIDE_INT) cst.high; | |
670 } | |
671 if (((snum >> (prec - 1)) & 1) == 1) | |
672 { | |
673 r.low = cst.low | ~mask.low; | |
674 r.high = cst.high | ~mask.high; | |
675 } | |
676 else | |
677 { | |
678 r.low = cst.low & mask.low; | |
679 r.high = cst.high & mask.high; | |
55
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680 } |
0 | 681 |
682 return r; | |
683 } | |
684 | |
685 /* Returns true if CST fits in signed HOST_WIDE_INT. */ | |
686 | |
687 bool | |
688 double_int_fits_in_shwi_p (double_int cst) | |
689 { | |
690 if (cst.high == 0) | |
691 return (HOST_WIDE_INT) cst.low >= 0; | |
692 else if (cst.high == -1) | |
693 return (HOST_WIDE_INT) cst.low < 0; | |
694 else | |
695 return false; | |
696 } | |
697 | |
698 /* Returns true if CST fits in HOST_WIDE_INT if UNS is false, or in | |
699 unsigned HOST_WIDE_INT if UNS is true. */ | |
700 | |
701 bool | |
702 double_int_fits_in_hwi_p (double_int cst, bool uns) | |
703 { | |
704 if (uns) | |
705 return double_int_fits_in_uhwi_p (cst); | |
706 else | |
707 return double_int_fits_in_shwi_p (cst); | |
708 } | |
709 | |
710 /* Returns A * B. */ | |
711 | |
712 double_int | |
713 double_int_mul (double_int a, double_int b) | |
714 { | |
715 double_int ret; | |
716 mul_double (a.low, a.high, b.low, b.high, &ret.low, &ret.high); | |
717 return ret; | |
718 } | |
719 | |
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720 /* Returns A * B. If the operation overflows according to UNSIGNED_P, |
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721 *OVERFLOW is set to nonzero. */ |
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722 |
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723 double_int |
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724 double_int_mul_with_sign (double_int a, double_int b, |
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725 bool unsigned_p, int *overflow) |
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|
726 { |
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|
727 double_int ret; |
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728 *overflow = mul_double_with_sign (a.low, a.high, b.low, b.high, |
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|
729 &ret.low, &ret.high, unsigned_p); |
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730 return ret; |
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731 } |
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|
732 |
0 | 733 /* Returns A + B. */ |
734 | |
735 double_int | |
736 double_int_add (double_int a, double_int b) | |
737 { | |
738 double_int ret; | |
739 add_double (a.low, a.high, b.low, b.high, &ret.low, &ret.high); | |
740 return ret; | |
741 } | |
742 | |
67
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|
743 /* Returns A - B. */ |
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744 |
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|
745 double_int |
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746 double_int_sub (double_int a, double_int b) |
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747 { |
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748 double_int ret; |
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749 neg_double (b.low, b.high, &b.low, &b.high); |
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750 add_double (a.low, a.high, b.low, b.high, &ret.low, &ret.high); |
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751 return ret; |
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752 } |
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753 |
0 | 754 /* Returns -A. */ |
755 | |
756 double_int | |
757 double_int_neg (double_int a) | |
758 { | |
759 double_int ret; | |
760 neg_double (a.low, a.high, &ret.low, &ret.high); | |
761 return ret; | |
762 } | |
763 | |
764 /* Returns A / B (computed as unsigned depending on UNS, and rounded as | |
765 specified by CODE). CODE is enum tree_code in fact, but double_int.h | |
766 must be included before tree.h. The remainder after the division is | |
767 stored to MOD. */ | |
768 | |
769 double_int | |
770 double_int_divmod (double_int a, double_int b, bool uns, unsigned code, | |
771 double_int *mod) | |
772 { | |
773 double_int ret; | |
774 | |
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775 div_and_round_double (code, uns, a.low, a.high, |
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776 b.low, b.high, &ret.low, &ret.high, |
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777 &mod->low, &mod->high); |
0 | 778 return ret; |
779 } | |
780 | |
781 /* The same as double_int_divmod with UNS = false. */ | |
782 | |
783 double_int | |
784 double_int_sdivmod (double_int a, double_int b, unsigned code, double_int *mod) | |
785 { | |
786 return double_int_divmod (a, b, false, code, mod); | |
787 } | |
788 | |
789 /* The same as double_int_divmod with UNS = true. */ | |
790 | |
791 double_int | |
792 double_int_udivmod (double_int a, double_int b, unsigned code, double_int *mod) | |
793 { | |
794 return double_int_divmod (a, b, true, code, mod); | |
795 } | |
796 | |
797 /* Returns A / B (computed as unsigned depending on UNS, and rounded as | |
798 specified by CODE). CODE is enum tree_code in fact, but double_int.h | |
799 must be included before tree.h. */ | |
800 | |
801 double_int | |
802 double_int_div (double_int a, double_int b, bool uns, unsigned code) | |
803 { | |
804 double_int mod; | |
805 | |
806 return double_int_divmod (a, b, uns, code, &mod); | |
807 } | |
808 | |
809 /* The same as double_int_div with UNS = false. */ | |
810 | |
811 double_int | |
812 double_int_sdiv (double_int a, double_int b, unsigned code) | |
813 { | |
814 return double_int_div (a, b, false, code); | |
815 } | |
816 | |
817 /* The same as double_int_div with UNS = true. */ | |
818 | |
819 double_int | |
820 double_int_udiv (double_int a, double_int b, unsigned code) | |
821 { | |
822 return double_int_div (a, b, true, code); | |
823 } | |
824 | |
825 /* Returns A % B (computed as unsigned depending on UNS, and rounded as | |
826 specified by CODE). CODE is enum tree_code in fact, but double_int.h | |
827 must be included before tree.h. */ | |
828 | |
829 double_int | |
830 double_int_mod (double_int a, double_int b, bool uns, unsigned code) | |
831 { | |
832 double_int mod; | |
833 | |
834 double_int_divmod (a, b, uns, code, &mod); | |
835 return mod; | |
836 } | |
837 | |
838 /* The same as double_int_mod with UNS = false. */ | |
839 | |
840 double_int | |
841 double_int_smod (double_int a, double_int b, unsigned code) | |
842 { | |
843 return double_int_mod (a, b, false, code); | |
844 } | |
845 | |
846 /* The same as double_int_mod with UNS = true. */ | |
847 | |
848 double_int | |
849 double_int_umod (double_int a, double_int b, unsigned code) | |
850 { | |
851 return double_int_mod (a, b, true, code); | |
852 } | |
853 | |
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854 /* Set BITPOS bit in A. */ |
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855 double_int |
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856 double_int_setbit (double_int a, unsigned bitpos) |
0 | 857 { |
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858 if (bitpos < HOST_BITS_PER_WIDE_INT) |
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859 a.low |= (unsigned HOST_WIDE_INT) 1 << bitpos; |
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860 else |
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861 a.high |= (HOST_WIDE_INT) 1 << (bitpos - HOST_BITS_PER_WIDE_INT); |
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862 |
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863 return a; |
0 | 864 } |
865 | |
67
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866 /* Count trailing zeros in A. */ |
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867 int |
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868 double_int_ctz (double_int a) |
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869 { |
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870 unsigned HOST_WIDE_INT w = a.low ? a.low : (unsigned HOST_WIDE_INT) a.high; |
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871 unsigned bits = a.low ? 0 : HOST_BITS_PER_WIDE_INT; |
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872 if (!w) |
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873 return HOST_BITS_PER_DOUBLE_INT; |
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874 bits += ctz_hwi (w); |
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875 return bits; |
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876 } |
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877 |
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878 /* Shift A left by COUNT places keeping only PREC bits of result. Shift |
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879 right if COUNT is negative. ARITH true specifies arithmetic shifting; |
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880 otherwise use logical shift. */ |
0 | 881 |
63
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882 double_int |
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883 double_int_lshift (double_int a, HOST_WIDE_INT count, unsigned int prec, bool arith) |
0 | 884 { |
63
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885 double_int ret; |
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886 lshift_double (a.low, a.high, count, prec, &ret.low, &ret.high, arith); |
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887 return ret; |
0 | 888 } |
889 | |
63
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890 /* Shift A rigth by COUNT places keeping only PREC bits of result. Shift |
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891 left if COUNT is negative. ARITH true specifies arithmetic shifting; |
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892 otherwise use logical shift. */ |
0 | 893 |
63
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894 double_int |
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895 double_int_rshift (double_int a, HOST_WIDE_INT count, unsigned int prec, bool arith) |
0 | 896 { |
63
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897 double_int ret; |
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898 rshift_double (a.low, a.high, count, prec, &ret.low, &ret.high, arith); |
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899 return ret; |
0 | 900 } |
901 | |
67
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902 /* Rotate A left by COUNT places keeping only PREC bits of result. |
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903 Rotate right if COUNT is negative. */ |
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904 |
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905 double_int |
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906 double_int_lrotate (double_int a, HOST_WIDE_INT count, unsigned int prec) |
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907 { |
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908 double_int t1, t2; |
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909 |
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910 count %= prec; |
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911 if (count < 0) |
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912 count += prec; |
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913 |
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914 t1 = double_int_lshift (a, count, prec, false); |
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915 t2 = double_int_rshift (a, prec - count, prec, false); |
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916 |
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917 return double_int_ior (t1, t2); |
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918 } |
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919 |
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920 /* Rotate A rigth by COUNT places keeping only PREC bits of result. |
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921 Rotate right if COUNT is negative. */ |
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922 |
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923 double_int |
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924 double_int_rrotate (double_int a, HOST_WIDE_INT count, unsigned int prec) |
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925 { |
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926 double_int t1, t2; |
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927 |
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928 count %= prec; |
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929 if (count < 0) |
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930 count += prec; |
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931 |
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932 t1 = double_int_rshift (a, count, prec, false); |
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933 t2 = double_int_lshift (a, prec - count, prec, false); |
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934 |
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935 return double_int_ior (t1, t2); |
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936 } |
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937 |
0 | 938 /* Returns -1 if A < B, 0 if A == B and 1 if A > B. Signedness of the |
939 comparison is given by UNS. */ | |
940 | |
941 int | |
942 double_int_cmp (double_int a, double_int b, bool uns) | |
943 { | |
944 if (uns) | |
945 return double_int_ucmp (a, b); | |
946 else | |
947 return double_int_scmp (a, b); | |
948 } | |
949 | |
950 /* Compares two unsigned values A and B. Returns -1 if A < B, 0 if A == B, | |
951 and 1 if A > B. */ | |
952 | |
953 int | |
954 double_int_ucmp (double_int a, double_int b) | |
955 { | |
956 if ((unsigned HOST_WIDE_INT) a.high < (unsigned HOST_WIDE_INT) b.high) | |
957 return -1; | |
958 if ((unsigned HOST_WIDE_INT) a.high > (unsigned HOST_WIDE_INT) b.high) | |
959 return 1; | |
960 if (a.low < b.low) | |
961 return -1; | |
962 if (a.low > b.low) | |
963 return 1; | |
964 | |
965 return 0; | |
966 } | |
967 | |
968 /* Compares two signed values A and B. Returns -1 if A < B, 0 if A == B, | |
969 and 1 if A > B. */ | |
970 | |
971 int | |
972 double_int_scmp (double_int a, double_int b) | |
973 { | |
974 if (a.high < b.high) | |
975 return -1; | |
976 if (a.high > b.high) | |
977 return 1; | |
978 if (a.low < b.low) | |
979 return -1; | |
980 if (a.low > b.low) | |
981 return 1; | |
982 | |
983 return 0; | |
984 } | |
985 | |
67
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986 /* Compares two values A and B. Returns max value. Signedness of the |
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987 comparison is given by UNS. */ |
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988 |
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989 double_int |
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990 double_int_max (double_int a, double_int b, bool uns) |
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991 { |
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992 return (double_int_cmp (a, b, uns) == 1) ? a : b; |
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993 } |
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994 |
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995 /* Compares two signed values A and B. Returns max value. */ |
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996 |
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997 double_int double_int_smax (double_int a, double_int b) |
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998 { |
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999 return (double_int_scmp (a, b) == 1) ? a : b; |
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1000 } |
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1001 |
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1002 /* Compares two unsigned values A and B. Returns max value. */ |
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1003 |
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1004 double_int double_int_umax (double_int a, double_int b) |
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1005 { |
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1006 return (double_int_ucmp (a, b) == 1) ? a : b; |
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1007 } |
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1008 |
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1009 /* Compares two values A and B. Returns mix value. Signedness of the |
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1010 comparison is given by UNS. */ |
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1011 |
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1012 double_int double_int_min (double_int a, double_int b, bool uns) |
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1013 { |
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1014 return (double_int_cmp (a, b, uns) == -1) ? a : b; |
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1015 } |
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1016 |
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1017 /* Compares two signed values A and B. Returns min value. */ |
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1018 |
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1019 double_int double_int_smin (double_int a, double_int b) |
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1020 { |
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1021 return (double_int_scmp (a, b) == -1) ? a : b; |
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1022 } |
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1023 |
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1024 /* Compares two unsigned values A and B. Returns min value. */ |
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1025 |
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1026 double_int double_int_umin (double_int a, double_int b) |
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1027 { |
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1028 return (double_int_ucmp (a, b) == -1) ? a : b; |
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1029 } |
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1030 |
0 | 1031 /* Splits last digit of *CST (taken as unsigned) in BASE and returns it. */ |
1032 | |
1033 static unsigned | |
1034 double_int_split_digit (double_int *cst, unsigned base) | |
1035 { | |
1036 unsigned HOST_WIDE_INT resl, reml; | |
1037 HOST_WIDE_INT resh, remh; | |
1038 | |
1039 div_and_round_double (FLOOR_DIV_EXPR, true, cst->low, cst->high, base, 0, | |
1040 &resl, &resh, &reml, &remh); | |
1041 cst->high = resh; | |
1042 cst->low = resl; | |
1043 | |
1044 return reml; | |
1045 } | |
1046 | |
1047 /* Dumps CST to FILE. If UNS is true, CST is considered to be unsigned, | |
1048 otherwise it is signed. */ | |
1049 | |
1050 void | |
1051 dump_double_int (FILE *file, double_int cst, bool uns) | |
1052 { | |
1053 unsigned digits[100], n; | |
1054 int i; | |
1055 | |
1056 if (double_int_zero_p (cst)) | |
1057 { | |
1058 fprintf (file, "0"); | |
1059 return; | |
1060 } | |
1061 | |
1062 if (!uns && double_int_negative_p (cst)) | |
1063 { | |
1064 fprintf (file, "-"); | |
1065 cst = double_int_neg (cst); | |
1066 } | |
1067 | |
1068 for (n = 0; !double_int_zero_p (cst); n++) | |
1069 digits[n] = double_int_split_digit (&cst, 10); | |
1070 for (i = n - 1; i >= 0; i--) | |
1071 fprintf (file, "%u", digits[i]); | |
1072 } | |
1073 | |
1074 | |
1075 /* Sets RESULT to VAL, taken unsigned if UNS is true and as signed | |
1076 otherwise. */ | |
1077 | |
1078 void | |
1079 mpz_set_double_int (mpz_t result, double_int val, bool uns) | |
1080 { | |
1081 bool negate = false; | |
1082 unsigned HOST_WIDE_INT vp[2]; | |
1083 | |
1084 if (!uns && double_int_negative_p (val)) | |
1085 { | |
1086 negate = true; | |
1087 val = double_int_neg (val); | |
1088 } | |
1089 | |
1090 vp[0] = val.low; | |
1091 vp[1] = (unsigned HOST_WIDE_INT) val.high; | |
1092 mpz_import (result, 2, -1, sizeof (HOST_WIDE_INT), 0, 0, vp); | |
1093 | |
1094 if (negate) | |
1095 mpz_neg (result, result); | |
1096 } | |
1097 | |
1098 /* Returns VAL converted to TYPE. If WRAP is true, then out-of-range | |
1099 values of VAL will be wrapped; otherwise, they will be set to the | |
1100 appropriate minimum or maximum TYPE bound. */ | |
1101 | |
1102 double_int | |
1103 mpz_get_double_int (const_tree type, mpz_t val, bool wrap) | |
1104 { | |
1105 unsigned HOST_WIDE_INT *vp; | |
1106 size_t count, numb; | |
1107 double_int res; | |
1108 | |
1109 if (!wrap) | |
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1110 { |
0 | 1111 mpz_t min, max; |
1112 | |
1113 mpz_init (min); | |
1114 mpz_init (max); | |
1115 get_type_static_bounds (type, min, max); | |
1116 | |
1117 if (mpz_cmp (val, min) < 0) | |
1118 mpz_set (val, min); | |
1119 else if (mpz_cmp (val, max) > 0) | |
1120 mpz_set (val, max); | |
1121 | |
1122 mpz_clear (min); | |
1123 mpz_clear (max); | |
1124 } | |
1125 | |
1126 /* Determine the number of unsigned HOST_WIDE_INT that are required | |
1127 for representing the value. The code to calculate count is | |
1128 extracted from the GMP manual, section "Integer Import and Export": | |
1129 http://gmplib.org/manual/Integer-Import-and-Export.html */ | |
1130 numb = 8*sizeof(HOST_WIDE_INT); | |
1131 count = (mpz_sizeinbase (val, 2) + numb-1) / numb; | |
1132 if (count < 2) | |
1133 count = 2; | |
1134 vp = (unsigned HOST_WIDE_INT *) alloca (count * sizeof(HOST_WIDE_INT)); | |
1135 | |
1136 vp[0] = 0; | |
1137 vp[1] = 0; | |
1138 mpz_export (vp, &count, -1, sizeof (HOST_WIDE_INT), 0, 0, val); | |
1139 | |
1140 gcc_assert (wrap || count <= 2); | |
1141 | |
1142 res.low = vp[0]; | |
1143 res.high = (HOST_WIDE_INT) vp[1]; | |
1144 | |
1145 res = double_int_ext (res, TYPE_PRECISION (type), TYPE_UNSIGNED (type)); | |
1146 if (mpz_sgn (val) < 0) | |
1147 res = double_int_neg (res); | |
1148 | |
1149 return res; | |
1150 } |