annotate liboctave/numeric/lo-mappers.cc @ 23761:102049c83e7c

Use constexpr rather than just const to provide hint to compiler. * lo-mappers.cc (rc_log2, rc_log10): Use constexpr for pi/ln(2) and pi/ln(10) constants. * lo-specfun.cc (rc_log1p): Replace const declaration for pi with M_PI which comes from <cmath> header file.
author Rik <rik@octave.org>
date Wed, 12 Jul 2017 08:01:17 -0700
parents 4c048a2792bc
children 4d11ada80395
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1 /*
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2
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3 Copyright (C) 1996-2017 John W. Eaton
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4 Copyright (C) 2010 VZLU Prague
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5
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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6 This file is part of Octave.
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7
4cb6aaa0f2c7 [project @ 1996-02-17 02:54:24 by jwe]
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by
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10 the Free Software Foundation; either version 3 of the License, or
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11 (at your option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but
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14 WITHOUT ANY WARRANTY; without even the implied warranty of
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15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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16 GNU General Public License for more details.
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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20 <http://www.gnu.org/licenses/>.
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22 */
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23
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24 #if defined (HAVE_CONFIG_H)
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25 # include "config.h"
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26 #endif
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28 #include "lo-mappers.h"
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29 #include "lo-specfun.h"
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30
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31 // FIXME: We used to have this situation:
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32 //
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33 // Functions that forward to gnulib belong here so we can keep
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34 // gnulib:: out of lo-mappers.h.
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35 //
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36 // but now we just use std:: and explicit wrappers in C++ code so maybe
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37 // some of the forwarding functions can be defined inline here.
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38
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39 namespace octave
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40 {
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41 namespace math
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42 {
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43 bool
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44 isna (double x)
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45 {
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46 return lo_ieee_is_NA (x);
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47 }
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48
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49 bool
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50 isna (const Complex& x)
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51 {
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52 return (isna (std::real (x)) || isna (std::imag (x)));
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53 }
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55 bool
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56 isna (float x)
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57 {
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58 return lo_ieee_is_NA (x);
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59 }
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61 bool
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62 isna (const FloatComplex& x)
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63 {
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64 return (isna (std::real (x)) || isna (std::imag (x)));
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65 }
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66
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67 bool
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68 is_NaN_or_NA (const Complex& x)
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69 {
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70 return (isnan (std::real (x)) || isnan (std::imag (x)));
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71 }
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73 bool
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74 is_NaN_or_NA (const FloatComplex& x)
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75 {
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76 return (isnan (std::real (x)) || isnan (std::imag (x)));
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77 }
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78
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79 // Matlab returns a different phase for acos, asin then std library
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80 // which requires a small function to remap the phase.
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81 Complex
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82 acos (const Complex& x)
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83 {
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84 Complex y = std::acos (x);
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85
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86 if (std::imag (x) == 0.0 && std::real (x) > 1.0)
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87 return std::conj (y);
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88 else
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89 return y;
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90 }
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91
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92 FloatComplex
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93 acos (const FloatComplex& x)
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94 {
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95 FloatComplex y = std::acos (x);
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96
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97 if (std::imag (x) == 0.0f && std::real (x) > 1.0f)
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98 return std::conj (y);
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99 else
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100 return y;
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101 }
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102
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103 Complex
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104 asin (const Complex& x)
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105 {
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106 Complex y = std::asin (x);
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107
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108 if (std::imag (x) == 0.0 && std::real (x) > 1.0)
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109 return std::conj (y);
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110 else
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111 return y;
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112 }
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113
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114 FloatComplex
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115 asin (const FloatComplex& x)
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116 {
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117 FloatComplex y = std::asin (x);
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118
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119 if (std::imag (x) == 0.0f && std::real (x) > 1.0f)
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120 return std::conj (y);
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121 else
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122 return y;
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123 }
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124
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125 Complex
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126 log2 (const Complex& x)
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127 {
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128 return std::log (x) / M_LN2;
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129 }
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130
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131 FloatComplex
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132 log2 (const FloatComplex& x)
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133 {
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134 return std::log (x) / static_cast<float> (M_LN2);
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135 }
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136
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137 Complex
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diff changeset
138 log2 (const Complex& x, int& exp)
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139 {
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140 double ax = std::abs (x);
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141 double lax = log2 (ax, exp);
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142 return (ax != lax) ? (x / ax) * lax : x;
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143 }
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144
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145 FloatComplex
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diff changeset
146 log2 (const FloatComplex& x, int& exp)
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147 {
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diff changeset
148 float ax = std::abs (x);
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149 float lax = log2 (ax, exp);
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150 return (ax != lax) ? (x / ax) * lax : x;
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151 }
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152
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153 bool negative_sign (double x) { return __lo_ieee_signbit (x); }
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154 bool negative_sign (float x) { return __lo_ieee_float_signbit (x); }
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155
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156 // Sometimes you need a large integer, but not always.
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157
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158 octave_idx_type
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159 nint_big (double x)
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160 {
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161 if (x > std::numeric_limits<octave_idx_type>::max ())
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162 return std::numeric_limits<octave_idx_type>::max ();
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163 else if (x < std::numeric_limits<octave_idx_type>::min ())
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164 return std::numeric_limits<octave_idx_type>::min ();
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165 else
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166 return static_cast<octave_idx_type> ((x > 0.0) ? (x + 0.5)
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167 : (x - 0.5));
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168 }
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169
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170 octave_idx_type
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171 nint_big (float x)
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172 {
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173 if (x > std::numeric_limits<octave_idx_type>::max ())
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174 return std::numeric_limits<octave_idx_type>::max ();
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175 else if (x < std::numeric_limits<octave_idx_type>::min ())
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176 return std::numeric_limits<octave_idx_type>::min ();
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177 else
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178 return static_cast<octave_idx_type> ((x > 0.0f) ? (x + 0.5f)
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179 : (x - 0.5f));
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180 }
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181
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182 int
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183 nint (double x)
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184 {
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185 if (x > std::numeric_limits<int>::max ())
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186 return std::numeric_limits<int>::max ();
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187 else if (x < std::numeric_limits<int>::min ())
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188 return std::numeric_limits<int>::min ();
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189 else
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190 return static_cast<int> ((x > 0.0) ? (x + 0.5) : (x - 0.5));
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191 }
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192
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193 int
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194 nint (float x)
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195 {
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196 if (x > std::numeric_limits<int>::max ())
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197 return std::numeric_limits<int>::max ();
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198 else if (x < std::numeric_limits<int>::min ())
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199 return std::numeric_limits<int>::min ();
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200 else
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201 return static_cast<int> ((x > 0.0f) ? (x + 0.5f) : (x - 0.5f));
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202 }
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203
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204 Complex
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205 rc_acos (double x)
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206 {
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207 return fabs (x) > 1.0 ? acos (Complex (x)) : Complex (std::acos (x));
21782
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208 }
19242
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209
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210 FloatComplex
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diff changeset
211 rc_acos (float x)
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diff changeset
212 {
22402
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213 return fabsf (x) > 1.0f ? acos (FloatComplex (x))
23682
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diff changeset
214 : FloatComplex (std::acos (x));
21782
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diff changeset
215 }
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216
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diff changeset
217 Complex
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diff changeset
218 rc_acosh (double x)
19242
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diff changeset
219 {
21782
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220 return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
19242
ba7e42dea4b2 Fix returned phase of asin, acos outside principal branch (bug #43349).
Rik <rik@octave.org>
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diff changeset
221 }
21782
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222
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diff changeset
223 FloatComplex
2aef506f3fec use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
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diff changeset
224 rc_acosh (float x)
2aef506f3fec use namespace for lo-mappers.h functions
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diff changeset
225 {
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diff changeset
226 return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acosh (x));
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John W. Eaton <jwe@octave.org>
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diff changeset
227 }
19242
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Rik <rik@octave.org>
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diff changeset
228
21782
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diff changeset
229 Complex
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diff changeset
230 rc_asin (double x)
2aef506f3fec use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
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diff changeset
231 {
23682
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diff changeset
232 return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (std::asin (x));
21782
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diff changeset
233 }
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234
21782
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diff changeset
235 FloatComplex
2aef506f3fec use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
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diff changeset
236 rc_asin (float x)
2aef506f3fec use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
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diff changeset
237 {
22402
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diff changeset
238 return fabsf (x) > 1.0f ? asin (FloatComplex (x))
4caa7b28d183 maint: Style check C++ code in liboctave/
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diff changeset
239 : FloatComplex (::asinf (x));
21782
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diff changeset
240 }
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241
21782
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diff changeset
242 Complex
2aef506f3fec use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
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diff changeset
243 rc_atanh (double x)
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diff changeset
244 {
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diff changeset
245 return fabs (x) > 1.0 ? atanh (Complex (x)) : Complex (atanh (x));
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diff changeset
246 }
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247
21782
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diff changeset
248 FloatComplex
2aef506f3fec use namespace for lo-mappers.h functions
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diff changeset
249 rc_atanh (float x)
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diff changeset
250 {
22402
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diff changeset
251 return fabsf (x) > 1.0f ? atanh (FloatComplex (x))
4caa7b28d183 maint: Style check C++ code in liboctave/
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diff changeset
252 : FloatComplex (atanh (x));
21782
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diff changeset
253 }
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254
21782
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diff changeset
255 Complex
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parents: 21724
diff changeset
256 rc_log (double x)
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diff changeset
257 {
23682
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diff changeset
258 return x < 0.0 ? Complex (std::log (-x), M_PI) : Complex (std::log (x));
21782
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diff changeset
259 }
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diff changeset
260
21782
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diff changeset
261 FloatComplex
2aef506f3fec use namespace for lo-mappers.h functions
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diff changeset
262 rc_log (float x)
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John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
263 {
23682
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parents: 23665
diff changeset
264 return x < 0.0f ? FloatComplex (std::log (-x), static_cast<float> (M_PI))
22402
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diff changeset
265 : FloatComplex (std::log (x));
21782
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diff changeset
266 }
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diff changeset
267
21782
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diff changeset
268 Complex
2aef506f3fec use namespace for lo-mappers.h functions
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parents: 21724
diff changeset
269 rc_log2 (double x)
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diff changeset
270 {
23761
102049c83e7c Use constexpr rather than just const to provide hint to compiler.
Rik <rik@octave.org>
parents: 23733
diff changeset
271 constexpr double PI_LN2 = 4.53236014182719380962; // = pi / log(2)
23682
6fe13cd3543c Clean up lo-mappers.h, lo-mappers.cc.
Rik <rik@octave.org>
parents: 23665
diff changeset
272 return x < 0.0 ? Complex (log2 (-x), PI_LN2) : Complex (log2 (x));
21782
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diff changeset
273 }
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diff changeset
274
21782
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diff changeset
275 FloatComplex
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276 rc_log2 (float x)
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277 {
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278 constexpr float PI_LN2 = 4.53236014182719380962f; // = pi / log(2)
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279 return x < 0.0f ? FloatComplex (log2 (-x), PI_LN2)
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280 : FloatComplex (log2 (x));
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281 }
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282
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283 Complex
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284 rc_log10 (double x)
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285 {
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286 constexpr double PI_LN10 = 1.36437635384184134748; // = pi / log(10)
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287 return x < 0.0 ? Complex (log10 (-x), PI_LN10) : Complex (log10 (x));
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288 }
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289
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290 FloatComplex
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291 rc_log10 (float x)
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292 {
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293 constexpr float PI_LN10 = 1.36437635384184134748f; // = pi / log(10)
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294 return x < 0.0f ? FloatComplex (log10 (-x), PI_LN10)
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295 : FloatComplex (log10f (x));
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296 }
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297
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298 Complex
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299 rc_sqrt (double x)
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300 {
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301 return x < 0.0 ? Complex (0.0, std::sqrt (-x)) : Complex (std::sqrt (x));
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302 }
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303
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304 FloatComplex
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305 rc_sqrt (float x)
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306 {
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307 return x < 0.0f ? FloatComplex (0.0f, std::sqrt (-x))
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308 : FloatComplex (std::sqrt (x));
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309 }
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310 }
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311 }