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1 /* Definitions of floating-point access for GNU compiler.
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2 Copyright (C) 1989, 1991, 1994, 1996, 1997, 1998, 1999,
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3 2000, 2002, 2003, 2004, 2005, 2007, 2008 Free Software Foundation, Inc.
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4
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5 This file is part of GCC.
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6
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7 GCC is free software; you can redistribute it and/or modify it under
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8 the terms of the GNU General Public License as published by the Free
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9 Software Foundation; either version 3, or (at your option) any later
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10 version.
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11
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12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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13 WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with GCC; see the file COPYING3. If not see
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19 <http://www.gnu.org/licenses/>. */
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20
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21 #ifndef GCC_REAL_H
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22 #define GCC_REAL_H
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23
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24 #ifndef GENERATOR_FILE
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25 #include <gmp.h>
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26 #include <mpfr.h>
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27 #endif
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28 #include "machmode.h"
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29
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30 /* An expanded form of the represented number. */
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31
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32 /* Enumerate the special cases of numbers that we encounter. */
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33 enum real_value_class {
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34 rvc_zero,
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35 rvc_normal,
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36 rvc_inf,
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37 rvc_nan
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38 };
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39
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40 #define SIGNIFICAND_BITS (128 + HOST_BITS_PER_LONG)
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41 #define EXP_BITS (32 - 6)
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42 #define MAX_EXP ((1 << (EXP_BITS - 1)) - 1)
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43 #define SIGSZ (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
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44 #define SIG_MSB ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
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45
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46 struct real_value GTY(())
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47 {
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48 /* Use the same underlying type for all bit-fields, so as to make
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49 sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
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50 be miscomputed. */
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51 unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
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52 unsigned int decimal : 1;
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53 unsigned int sign : 1;
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54 unsigned int signalling : 1;
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55 unsigned int canonical : 1;
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56 unsigned int uexp : EXP_BITS;
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57 unsigned long sig[SIGSZ];
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58 };
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59
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60 #define REAL_EXP(REAL) \
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61 ((int)((REAL)->uexp ^ (unsigned int)(1 << (EXP_BITS - 1))) \
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62 - (1 << (EXP_BITS - 1)))
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63 #define SET_REAL_EXP(REAL, EXP) \
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64 ((REAL)->uexp = ((unsigned int)(EXP) & (unsigned int)((1 << EXP_BITS) - 1)))
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65
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66 /* Various headers condition prototypes on #ifdef REAL_VALUE_TYPE, so it
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67 needs to be a macro. We do need to continue to have a structure tag
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68 so that other headers can forward declare it. */
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69 #define REAL_VALUE_TYPE struct real_value
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70
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71 /* We store a REAL_VALUE_TYPE into an rtx, and we do this by putting it in
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72 consecutive "w" slots. Moreover, we've got to compute the number of "w"
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73 slots at preprocessor time, which means we can't use sizeof. Guess. */
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74
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75 #define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
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76 #define REAL_WIDTH \
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77 (REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
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78 + (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
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79
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80 /* Verify the guess. */
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81 extern char test_real_width
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82 [sizeof(REAL_VALUE_TYPE) <= REAL_WIDTH*sizeof(HOST_WIDE_INT) ? 1 : -1];
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83
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84 /* Calculate the format for CONST_DOUBLE. We need as many slots as
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85 are necessary to overlay a REAL_VALUE_TYPE on them. This could be
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86 as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
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87
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88 A number of places assume that there are always at least two 'w'
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89 slots in a CONST_DOUBLE, so we provide them even if one would suffice. */
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90
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91 #if REAL_WIDTH == 1
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92 # define CONST_DOUBLE_FORMAT "ww"
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93 #else
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94 # if REAL_WIDTH == 2
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95 # define CONST_DOUBLE_FORMAT "ww"
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96 # else
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97 # if REAL_WIDTH == 3
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98 # define CONST_DOUBLE_FORMAT "www"
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99 # else
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100 # if REAL_WIDTH == 4
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101 # define CONST_DOUBLE_FORMAT "wwww"
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102 # else
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103 # if REAL_WIDTH == 5
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104 # define CONST_DOUBLE_FORMAT "wwwww"
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105 # else
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106 # if REAL_WIDTH == 6
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107 # define CONST_DOUBLE_FORMAT "wwwwww"
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108 # else
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109 #error "REAL_WIDTH > 6 not supported"
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110 # endif
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111 # endif
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112 # endif
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113 # endif
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114 # endif
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115 #endif
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116
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117
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118 /* Describes the properties of the specific target format in use. */
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119 struct real_format
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120 {
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121 /* Move to and from the target bytes. */
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122 void (*encode) (const struct real_format *, long *,
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123 const REAL_VALUE_TYPE *);
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124 void (*decode) (const struct real_format *, REAL_VALUE_TYPE *,
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125 const long *);
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126
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127 /* The radix of the exponent and digits of the significand. */
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128 int b;
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129
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130 /* Size of the significand in digits of radix B. */
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131 int p;
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132
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133 /* Size of the significant of a NaN, in digits of radix B. */
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134 int pnan;
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135
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136 /* The minimum negative integer, x, such that b**(x-1) is normalized. */
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137 int emin;
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138
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139 /* The maximum integer, x, such that b**(x-1) is representable. */
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140 int emax;
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141
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142 /* The bit position of the sign bit, for determining whether a value
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143 is positive/negative, or -1 for a complex encoding. */
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144 int signbit_ro;
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145
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146 /* The bit position of the sign bit, for changing the sign of a number,
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147 or -1 for a complex encoding. */
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148 int signbit_rw;
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149
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150 /* Default rounding mode for operations on this format. */
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151 bool round_towards_zero;
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152 bool has_sign_dependent_rounding;
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153
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154 /* Properties of the format. */
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155 bool has_nans;
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156 bool has_inf;
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157 bool has_denorm;
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158 bool has_signed_zero;
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159 bool qnan_msb_set;
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160 bool canonical_nan_lsbs_set;
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161 };
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162
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163
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164 /* The target format used for each floating point mode.
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165 Float modes are followed by decimal float modes, with entries for
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166 float modes indexed by (MODE - first float mode), and entries for
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167 decimal float modes indexed by (MODE - first decimal float mode) +
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168 the number of float modes. */
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169 extern const struct real_format *
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170 real_format_for_mode[MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1
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171 + MAX_MODE_DECIMAL_FLOAT - MIN_MODE_DECIMAL_FLOAT + 1];
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172
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173 #define REAL_MODE_FORMAT(MODE) \
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174 (real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
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175 ? (((MODE) - MIN_MODE_DECIMAL_FLOAT) \
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176 + (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
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177 : ((MODE) - MIN_MODE_FLOAT)])
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178
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179 #define FLOAT_MODE_FORMAT(MODE) \
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180 (REAL_MODE_FORMAT (SCALAR_FLOAT_MODE_P (MODE)? (MODE) \
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181 : GET_MODE_INNER (MODE)))
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182
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183 /* The following macro determines whether the floating point format is
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184 composite, i.e. may contain non-consecutive mantissa bits, in which
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185 case compile-time FP overflow may not model run-time overflow. */
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186 #define MODE_COMPOSITE_P(MODE) \
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187 (FLOAT_MODE_P (MODE) \
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188 && FLOAT_MODE_FORMAT (MODE)->pnan < FLOAT_MODE_FORMAT (MODE)->p)
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189
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190 /* Accessor macros for format properties. */
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191 #define MODE_HAS_NANS(MODE) \
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192 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_nans)
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193 #define MODE_HAS_INFINITIES(MODE) \
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194 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_inf)
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195 #define MODE_HAS_SIGNED_ZEROS(MODE) \
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196 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_signed_zero)
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197 #define MODE_HAS_SIGN_DEPENDENT_ROUNDING(MODE) \
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198 (FLOAT_MODE_P (MODE) \
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199 && FLOAT_MODE_FORMAT (MODE)->has_sign_dependent_rounding)
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200
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201
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202 /* Declare functions in real.c. */
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203
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204 /* Binary or unary arithmetic on tree_code. */
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205 extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
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206 const REAL_VALUE_TYPE *);
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207
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208 /* Compare reals by tree_code. */
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209 extern bool real_compare (int, const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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210
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211 /* Determine whether a floating-point value X is infinite. */
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212 extern bool real_isinf (const REAL_VALUE_TYPE *);
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213
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214 /* Determine whether a floating-point value X is a NaN. */
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215 extern bool real_isnan (const REAL_VALUE_TYPE *);
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216
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217 /* Determine whether a floating-point value X is finite. */
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218 extern bool real_isfinite (const REAL_VALUE_TYPE *);
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219
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220 /* Determine whether a floating-point value X is negative. */
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221 extern bool real_isneg (const REAL_VALUE_TYPE *);
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222
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223 /* Determine whether a floating-point value X is minus zero. */
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224 extern bool real_isnegzero (const REAL_VALUE_TYPE *);
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225
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226 /* Compare two floating-point objects for bitwise identity. */
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227 extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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228
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229 /* Extend or truncate to a new mode. */
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230 extern void real_convert (REAL_VALUE_TYPE *, enum machine_mode,
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231 const REAL_VALUE_TYPE *);
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232
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233 /* Return true if truncating to NEW is exact. */
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234 extern bool exact_real_truncate (enum machine_mode, const REAL_VALUE_TYPE *);
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235
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236 /* Render R as a decimal floating point constant. */
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237 extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
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238 size_t, int);
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239
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240 /* Render R as a decimal floating point constant, rounded so as to be
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241 parsed back to the same value when interpreted in mode MODE. */
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242 extern void real_to_decimal_for_mode (char *, const REAL_VALUE_TYPE *, size_t,
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243 size_t, int, enum machine_mode);
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244
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245 /* Render R as a hexadecimal floating point constant. */
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246 extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
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247 size_t, size_t, int);
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248
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249 /* Render R as an integer. */
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250 extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
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251 extern void real_to_integer2 (HOST_WIDE_INT *, HOST_WIDE_INT *,
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252 const REAL_VALUE_TYPE *);
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253
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254 /* Initialize R from a decimal or hexadecimal string. Return -1 if
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255 the value underflows, +1 if overflows, and 0 otherwise. */
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256 extern int real_from_string (REAL_VALUE_TYPE *, const char *);
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257 /* Wrapper to allow different internal representation for decimal floats. */
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258 extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, enum machine_mode);
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259
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260 /* Initialize R from an integer pair HIGH/LOW. */
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261 extern void real_from_integer (REAL_VALUE_TYPE *, enum machine_mode,
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262 unsigned HOST_WIDE_INT, HOST_WIDE_INT, int);
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263
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264 extern long real_to_target_fmt (long *, const REAL_VALUE_TYPE *,
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265 const struct real_format *);
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266 extern long real_to_target (long *, const REAL_VALUE_TYPE *, enum machine_mode);
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267
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268 extern void real_from_target_fmt (REAL_VALUE_TYPE *, const long *,
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269 const struct real_format *);
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270 extern void real_from_target (REAL_VALUE_TYPE *, const long *,
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271 enum machine_mode);
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272
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273 extern void real_inf (REAL_VALUE_TYPE *);
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274
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275 extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, enum machine_mode);
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276
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277 extern void real_maxval (REAL_VALUE_TYPE *, int, enum machine_mode);
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278
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279 extern void real_2expN (REAL_VALUE_TYPE *, int, enum machine_mode);
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280
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281 extern unsigned int real_hash (const REAL_VALUE_TYPE *);
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282
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283
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284 /* Target formats defined in real.c. */
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285 extern const struct real_format ieee_single_format;
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286 extern const struct real_format mips_single_format;
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287 extern const struct real_format motorola_single_format;
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288 extern const struct real_format spu_single_format;
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289 extern const struct real_format ieee_double_format;
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290 extern const struct real_format mips_double_format;
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291 extern const struct real_format motorola_double_format;
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292 extern const struct real_format ieee_extended_motorola_format;
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293 extern const struct real_format ieee_extended_intel_96_format;
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294 extern const struct real_format ieee_extended_intel_96_round_53_format;
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295 extern const struct real_format ieee_extended_intel_128_format;
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296 extern const struct real_format ibm_extended_format;
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297 extern const struct real_format mips_extended_format;
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298 extern const struct real_format ieee_quad_format;
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299 extern const struct real_format mips_quad_format;
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300 extern const struct real_format vax_f_format;
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301 extern const struct real_format vax_d_format;
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302 extern const struct real_format vax_g_format;
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303 extern const struct real_format real_internal_format;
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304 extern const struct real_format decimal_single_format;
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305 extern const struct real_format decimal_double_format;
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306 extern const struct real_format decimal_quad_format;
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307
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308
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309 /* ====================================================================== */
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310 /* Crap. */
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311
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312 #define REAL_ARITHMETIC(value, code, d1, d2) \
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313 real_arithmetic (&(value), code, &(d1), &(d2))
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314
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315 #define REAL_VALUES_IDENTICAL(x, y) real_identical (&(x), &(y))
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316 #define REAL_VALUES_EQUAL(x, y) real_compare (EQ_EXPR, &(x), &(y))
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317 #define REAL_VALUES_LESS(x, y) real_compare (LT_EXPR, &(x), &(y))
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318
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319 /* Determine whether a floating-point value X is infinite. */
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320 #define REAL_VALUE_ISINF(x) real_isinf (&(x))
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321
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322 /* Determine whether a floating-point value X is a NaN. */
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323 #define REAL_VALUE_ISNAN(x) real_isnan (&(x))
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324
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325 /* Determine whether a floating-point value X is negative. */
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326 #define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
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327
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328 /* Determine whether a floating-point value X is minus zero. */
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329 #define REAL_VALUE_MINUS_ZERO(x) real_isnegzero (&(x))
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330
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331 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
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332 #define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
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333 real_to_target (OUT, &(IN), \
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334 mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
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335
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336 #define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
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337 real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
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338
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339 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
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340 #define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
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341 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
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342
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343 #define REAL_VALUE_FROM_INT(r, lo, hi, mode) \
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344 real_from_integer (&(r), mode, lo, hi, 0)
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345
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346 #define REAL_VALUE_FROM_UNSIGNED_INT(r, lo, hi, mode) \
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347 real_from_integer (&(r), mode, lo, hi, 1)
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348
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349 /* Real values to IEEE 754 decimal floats. */
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350
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351 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
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352 #define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
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353 real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
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354
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355 #define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
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356 real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
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357
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358 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
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359 #define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
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360 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
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361
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362 extern REAL_VALUE_TYPE real_value_truncate (enum machine_mode,
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363 REAL_VALUE_TYPE);
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364
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365 #define REAL_VALUE_TO_INT(plow, phigh, r) \
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366 real_to_integer2 (plow, phigh, &(r))
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367
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368 extern REAL_VALUE_TYPE real_arithmetic2 (int, const REAL_VALUE_TYPE *,
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369 const REAL_VALUE_TYPE *);
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370
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371 #define REAL_VALUE_NEGATE(X) \
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372 real_arithmetic2 (NEGATE_EXPR, &(X), NULL)
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373
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374 #define REAL_VALUE_ABS(X) \
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375 real_arithmetic2 (ABS_EXPR, &(X), NULL)
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376
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377 extern int significand_size (enum machine_mode);
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378
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379 extern REAL_VALUE_TYPE real_from_string2 (const char *, enum machine_mode);
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380
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381 #define REAL_VALUE_ATOF(s, m) \
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382 real_from_string2 (s, m)
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383
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384 #define CONST_DOUBLE_ATOF(s, m) \
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385 CONST_DOUBLE_FROM_REAL_VALUE (real_from_string2 (s, m), m)
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386
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387 #define REAL_VALUE_FIX(r) \
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388 real_to_integer (&(r))
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389
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390 /* ??? Not quite right. */
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391 #define REAL_VALUE_UNSIGNED_FIX(r) \
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392 real_to_integer (&(r))
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393
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394 /* ??? These were added for Paranoia support. */
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395
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396 /* Return floor log2(R). */
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397 extern int real_exponent (const REAL_VALUE_TYPE *);
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398
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399 /* R = A * 2**EXP. */
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400 extern void real_ldexp (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
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401
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402 /* **** End of software floating point emulator interface macros **** */
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403
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404 /* Constant real values 0, 1, 2, -1 and 0.5. */
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405
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406 extern REAL_VALUE_TYPE dconst0;
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407 extern REAL_VALUE_TYPE dconst1;
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408 extern REAL_VALUE_TYPE dconst2;
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409 extern REAL_VALUE_TYPE dconstm1;
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410 extern REAL_VALUE_TYPE dconsthalf;
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411
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412 #define dconst_e() (*dconst_e_ptr ())
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413 #define dconst_third() (*dconst_third_ptr ())
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414 #define dconst_sqrt2() (*dconst_sqrt2_ptr ())
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415
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416 /* Function to return the real value special constant 'e'. */
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417 extern const REAL_VALUE_TYPE * dconst_e_ptr (void);
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418
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419 /* Returns the special REAL_VALUE_TYPE corresponding to 1/3. */
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420 extern const REAL_VALUE_TYPE * dconst_third_ptr (void);
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421
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422 /* Returns the special REAL_VALUE_TYPE corresponding to sqrt(2). */
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423 extern const REAL_VALUE_TYPE * dconst_sqrt2_ptr (void);
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424
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425 /* Function to return a real value (not a tree node)
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426 from a given integer constant. */
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427 REAL_VALUE_TYPE real_value_from_int_cst (const_tree, const_tree);
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428
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429 /* Given a CONST_DOUBLE in FROM, store into TO the value it represents. */
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430 #define REAL_VALUE_FROM_CONST_DOUBLE(to, from) \
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431 ((to) = *CONST_DOUBLE_REAL_VALUE (from))
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432
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433 /* Return a CONST_DOUBLE with value R and mode M. */
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434 #define CONST_DOUBLE_FROM_REAL_VALUE(r, m) \
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435 const_double_from_real_value (r, m)
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436 extern rtx const_double_from_real_value (REAL_VALUE_TYPE, enum machine_mode);
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437
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438 /* Replace R by 1/R in the given machine mode, if the result is exact. */
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439 extern bool exact_real_inverse (enum machine_mode, REAL_VALUE_TYPE *);
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440
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441 /* Return true if arithmetic on values in IMODE that were promoted
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442 from values in TMODE is equivalent to direct arithmetic on values
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443 in TMODE. */
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444 bool real_can_shorten_arithmetic (enum machine_mode, enum machine_mode);
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445
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446 /* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node. */
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447 extern tree build_real (tree, REAL_VALUE_TYPE);
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448
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449 /* Calculate R as the square root of X in the given machine mode. */
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450 extern bool real_sqrt (REAL_VALUE_TYPE *, enum machine_mode,
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451 const REAL_VALUE_TYPE *);
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452
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453 /* Calculate R as X raised to the integer exponent N in mode MODE. */
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454 extern bool real_powi (REAL_VALUE_TYPE *, enum machine_mode,
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455 const REAL_VALUE_TYPE *, HOST_WIDE_INT);
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456
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457 /* Standard round to integer value functions. */
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458 extern void real_trunc (REAL_VALUE_TYPE *, enum machine_mode,
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459 const REAL_VALUE_TYPE *);
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460 extern void real_floor (REAL_VALUE_TYPE *, enum machine_mode,
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461 const REAL_VALUE_TYPE *);
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462 extern void real_ceil (REAL_VALUE_TYPE *, enum machine_mode,
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463 const REAL_VALUE_TYPE *);
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464 extern void real_round (REAL_VALUE_TYPE *, enum machine_mode,
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465 const REAL_VALUE_TYPE *);
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466
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467 /* Set the sign of R to the sign of X. */
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468 extern void real_copysign (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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469
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470 #ifndef GENERATOR_FILE
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471 /* Convert between MPFR and REAL_VALUE_TYPE. The caller is
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472 responsible for initializing and clearing the MPFR parameter. */
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473
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474 extern void real_from_mpfr (REAL_VALUE_TYPE *, mpfr_srcptr, tree, mp_rnd_t);
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475 extern void mpfr_from_real (mpfr_ptr, const REAL_VALUE_TYPE *, mp_rnd_t);
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476 #endif
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477
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478 /* Check whether the real constant value given is an integer. */
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479 extern bool real_isinteger (const REAL_VALUE_TYPE *c, enum machine_mode mode);
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480
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481 /* Write into BUF the maximum representable finite floating-point
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482 number, (1 - b**-p) * b**emax for a given FP format FMT as a hex
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483 float string. BUF must be large enough to contain the result. */
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484 extern void get_max_float (const struct real_format *, char *, size_t);
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485 #endif /* ! GCC_REAL_H */
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