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111
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1 /* Definitions for simple data type for real numbers.
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2 Copyright (C) 2002-2017 Free Software Foundation, Inc.
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3
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4 This file is part of GCC.
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5
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6 GCC is free software; you can redistribute it and/or modify it under
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7 the terms of the GNU General Public License as published by the Free
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8 Software Foundation; either version 3, or (at your option) any later
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9 version.
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10
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11 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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12 WARRANTY; without even the implied warranty of MERCHANTABILITY or
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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14 for more details.
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15
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16 You should have received a copy of the GNU General Public License
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17 along with GCC; see the file COPYING3. If not see
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18 <http://www.gnu.org/licenses/>. */
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19
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20 #ifndef GCC_SREAL_H
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21 #define GCC_SREAL_H
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22
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23 /* SREAL_PART_BITS has to be an even number. */
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111
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24 #define SREAL_PART_BITS 32
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25
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111
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26 #define UINT64_BITS 64
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27
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28 #define SREAL_MIN_SIG ((int64_t) 1 << (SREAL_PART_BITS - 2))
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29 #define SREAL_MAX_SIG (((int64_t) 1 << (SREAL_PART_BITS - 1)) - 1)
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30 #define SREAL_MAX_EXP (INT_MAX / 4)
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31
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32 #define SREAL_BITS SREAL_PART_BITS
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111
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33
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34 #define SREAL_SIGN(v) (v < 0 ? -1: 1)
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35 #define SREAL_ABS(v) (v < 0 ? -v: v)
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36
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37 struct output_block;
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38 struct lto_input_block;
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39
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40 /* Structure for holding a simple real number. */
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111
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41 class sreal
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42 {
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43 public:
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44 /* Construct an uninitialized sreal. */
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45 sreal () : m_sig (-1), m_exp (-1) {}
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46
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47 /* Construct a sreal. */
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48 sreal (int64_t sig, int exp = 0) : m_sig (sig), m_exp (exp)
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49 {
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50 normalize ();
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51 }
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52
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53 void dump (FILE *) const;
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54 int64_t to_int () const;
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55 double to_double () const;
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56 void stream_out (struct output_block *);
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57 static sreal stream_in (struct lto_input_block *);
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58 sreal operator+ (const sreal &other) const;
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59 sreal operator- (const sreal &other) const;
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60 sreal operator* (const sreal &other) const;
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61 sreal operator/ (const sreal &other) const;
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62
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63 bool operator< (const sreal &other) const
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64 {
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65 if (m_exp == other.m_exp)
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66 return m_sig < other.m_sig;
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67 else
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68 {
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69 bool negative = m_sig < 0;
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70 bool other_negative = other.m_sig < 0;
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71
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72 if (negative != other_negative)
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73 return negative > other_negative;
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74
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75 bool r = m_exp < other.m_exp;
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76 return negative ? !r : r;
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77 }
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78 }
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79
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80 bool operator== (const sreal &other) const
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81 {
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82 return m_exp == other.m_exp && m_sig == other.m_sig;
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83 }
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84
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85 sreal operator- () const
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86 {
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87 sreal tmp = *this;
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88 tmp.m_sig *= -1;
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89
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90 return tmp;
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91 }
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92
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93 sreal shift (int s) const
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94 {
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95 /* Zero needs no shifting. */
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96 if (!m_sig)
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97 return *this;
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98 gcc_checking_assert (s <= SREAL_MAX_EXP);
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99 gcc_checking_assert (s >= -SREAL_MAX_EXP);
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100
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101 /* Overflows/drop to 0 could be handled gracefully, but hopefully we do not
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102 need to do so. */
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103 gcc_checking_assert (m_exp + s <= SREAL_MAX_EXP);
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104 gcc_checking_assert (m_exp + s >= -SREAL_MAX_EXP);
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105
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106 sreal tmp = *this;
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107 tmp.m_exp += s;
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108
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109 return tmp;
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110 }
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111
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112 /* Global minimum sreal can hold. */
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113 inline static sreal min ()
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114 {
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115 sreal min;
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116 /* This never needs normalization. */
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117 min.m_sig = -SREAL_MAX_SIG;
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118 min.m_exp = SREAL_MAX_EXP;
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119 return min;
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120 }
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121
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122 /* Global minimum sreal can hold. */
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123 inline static sreal max ()
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124 {
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125 sreal max;
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126 /* This never needs normalization. */
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127 max.m_sig = SREAL_MAX_SIG;
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128 max.m_exp = SREAL_MAX_EXP;
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129 return max;
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130 }
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131
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132 private:
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133 inline void normalize ();
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134 inline void normalize_up ();
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135 inline void normalize_down ();
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136 void shift_right (int amount);
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137 static sreal signedless_plus (const sreal &a, const sreal &b, bool negative);
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138 static sreal signedless_minus (const sreal &a, const sreal &b, bool negative);
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139
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140 int64_t m_sig; /* Significant. */
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141 signed int m_exp; /* Exponent. */
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142 };
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143
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144 extern void debug (const sreal &ref);
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145 extern void debug (const sreal *ptr);
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146
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147 inline sreal &operator+= (sreal &a, const sreal &b)
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148 {
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149 return a = a + b;
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150 }
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151
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152 inline sreal &operator-= (sreal &a, const sreal &b)
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153 {
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154 return a = a - b;
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155 }
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156
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157 inline sreal &operator/= (sreal &a, const sreal &b)
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158 {
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159 return a = a / b;
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160 }
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161
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162 inline sreal &operator*= (sreal &a, const sreal &b)
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163 {
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164 return a = a * b;
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165 }
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166
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167 inline bool operator!= (const sreal &a, const sreal &b)
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168 {
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169 return !(a == b);
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170 }
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171
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172 inline bool operator> (const sreal &a, const sreal &b)
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173 {
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174 return !(a == b || a < b);
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175 }
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176
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177 inline bool operator<= (const sreal &a, const sreal &b)
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178 {
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179 return a < b || a == b;
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180 }
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181
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182 inline bool operator>= (const sreal &a, const sreal &b)
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183 {
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184 return a == b || a > b;
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185 }
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186
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187 inline sreal operator<< (const sreal &a, int exp)
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188 {
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189 return a.shift (exp);
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190 }
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191
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192 inline sreal operator>> (const sreal &a, int exp)
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193 {
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194 return a.shift (-exp);
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195 }
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196
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197 /* Make significant to be >= SREAL_MIN_SIG.
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198
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199 Make this separate method so inliner can handle hot path better. */
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200
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201 inline void
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202 sreal::normalize_up ()
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203 {
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204 unsigned HOST_WIDE_INT sig = absu_hwi (m_sig);
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205 int shift = SREAL_PART_BITS - 2 - floor_log2 (sig);
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206
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207 gcc_checking_assert (shift > 0);
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208 sig <<= shift;
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209 m_exp -= shift;
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210 gcc_checking_assert (sig <= SREAL_MAX_SIG && sig >= SREAL_MIN_SIG);
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211
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212 /* Check underflow. */
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213 if (m_exp < -SREAL_MAX_EXP)
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214 {
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215 m_exp = -SREAL_MAX_EXP;
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216 sig = 0;
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217 }
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218 if (SREAL_SIGN (m_sig) == -1)
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219 m_sig = -sig;
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220 else
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221 m_sig = sig;
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222 }
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223
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224 /* Make significant to be <= SREAL_MAX_SIG.
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225
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226 Make this separate method so inliner can handle hot path better. */
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227
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228 inline void
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229 sreal::normalize_down ()
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230 {
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231 int last_bit;
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232 unsigned HOST_WIDE_INT sig = absu_hwi (m_sig);
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233 int shift = floor_log2 (sig) - SREAL_PART_BITS + 2;
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234
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235 gcc_checking_assert (shift > 0);
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236 last_bit = (sig >> (shift-1)) & 1;
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237 sig >>= shift;
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238 m_exp += shift;
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239 gcc_checking_assert (sig <= SREAL_MAX_SIG && sig >= SREAL_MIN_SIG);
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240
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241 /* Round the number. */
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242 sig += last_bit;
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243 if (sig > SREAL_MAX_SIG)
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244 {
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245 sig >>= 1;
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246 m_exp++;
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247 }
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248
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249 /* Check overflow. */
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250 if (m_exp > SREAL_MAX_EXP)
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251 {
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252 m_exp = SREAL_MAX_EXP;
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253 sig = SREAL_MAX_SIG;
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254 }
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255 if (SREAL_SIGN (m_sig) == -1)
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256 m_sig = -sig;
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257 else
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258 m_sig = sig;
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259 }
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260
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261 /* Normalize *this; the hot path. */
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262
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263 inline void
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264 sreal::normalize ()
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265 {
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266 unsigned HOST_WIDE_INT sig = absu_hwi (m_sig);
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267
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268 if (sig == 0)
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269 m_exp = -SREAL_MAX_EXP;
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270 else if (sig > SREAL_MAX_SIG)
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271 normalize_down ();
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272 else if (sig < SREAL_MIN_SIG)
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273 normalize_up ();
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274 }
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275
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276 #endif
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