Mercurial > hg > octave-lyh
annotate liboctave/array/MArray.cc @ 17371:9aca7020c89f
expint.m: Overhaul function.
Better accuracy and faster performance.
Improved documentation and added %!tests.
* scripts/specfun/expint.m: Improved accuracy of calculations by adjusting
quad() tolerance options. Speeded up performance by breaking out of series
summation as soon as possible. Used persistent variables to avoid
re-calculating expensive intermediate values. Added %!tests verified against
arbitrary precision Mathematica calculations.
author | Rik <rik@octave.org> |
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date | Tue, 03 Sep 2013 16:01:06 -0700 |
parents | 648dabbb4c6b |
children |
rev | line source |
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237 | 1 /* |
2 | |
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3 Copyright (C) 1993-2012 John W. Eaton |
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4 Copyright (C) 2009 VZLU Prague |
237 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
237 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
237 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
1192 | 25 #include <config.h> |
237 | 26 #endif |
27 | |
28 #include "MArray.h" | |
4669 | 29 #include "Array-util.h" |
237 | 30 #include "lo-error.h" |
31 | |
1989 | 32 #include "MArray-defs.h" |
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33 #include "mx-inlines.cc" |
1213 | 34 |
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35 template <class T> |
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36 struct _idxadds_helper |
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37 { |
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38 T *array; |
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39 T val; |
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40 _idxadds_helper (T *a, T v) : array (a), val (v) { } |
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41 void operator () (octave_idx_type i) |
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42 { array[i] += val; } |
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43 }; |
237 | 44 |
6508 | 45 template <class T> |
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46 struct _idxadda_helper |
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47 { |
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48 T *array; |
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49 const T *vals; |
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50 _idxadda_helper (T *a, const T *v) : array (a), vals (v) { } |
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51 void operator () (octave_idx_type i) |
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52 { array[i] += *vals++; } |
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53 }; |
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54 |
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55 template <class T> |
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56 void |
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57 MArray<T>::idx_add (const idx_vector& idx, T val) |
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59 octave_idx_type n = this->length (); |
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60 octave_idx_type ext = idx.extent (n); |
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61 if (ext > n) |
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62 { |
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63 this->resize1 (ext); |
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64 n = ext; |
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65 } |
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67 octave_quit (); |
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68 |
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69 octave_idx_type len = idx.length (n); |
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70 idx.loop (len, _idxadds_helper<T> (this->fortran_vec (), val)); |
6508 | 71 } |
72 | |
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73 template <class T> |
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74 void |
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75 MArray<T>::idx_add (const idx_vector& idx, const MArray<T>& vals) |
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76 { |
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77 octave_idx_type n = this->length (); |
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78 octave_idx_type ext = idx.extent (n); |
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79 if (ext > n) |
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80 { |
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81 this->resize1 (ext); |
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82 n = ext; |
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83 } |
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84 |
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85 octave_quit (); |
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86 |
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87 octave_idx_type len = std::min (idx.length (n), vals.length ()); |
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88 idx.loop (len, _idxadda_helper<T> (this->fortran_vec (), vals.data ())); |
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89 } |
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90 |
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91 template <class T, T op (typename ref_param<T>::type, typename ref_param<T>::type)> |
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92 struct _idxbinop_helper |
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93 { |
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94 T *array; |
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95 const T *vals; |
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96 _idxbinop_helper (T *a, const T *v) : array (a), vals (v) { } |
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97 void operator () (octave_idx_type i) |
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98 { array[i] = op (array[i], *vals++); } |
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99 }; |
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100 |
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101 template <class T> |
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102 void |
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103 MArray<T>::idx_min (const idx_vector& idx, const MArray<T>& vals) |
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104 { |
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105 octave_idx_type n = this->length (); |
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106 octave_idx_type ext = idx.extent (n); |
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107 if (ext > n) |
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108 { |
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109 this->resize1 (ext); |
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110 n = ext; |
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111 } |
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112 |
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113 octave_quit (); |
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114 |
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115 octave_idx_type len = std::min (idx.length (n), vals.length ()); |
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116 idx.loop (len, _idxbinop_helper<T, xmin> (this->fortran_vec (), vals.data ())); |
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117 } |
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118 |
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119 template <class T> |
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120 void |
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121 MArray<T>::idx_max (const idx_vector& idx, const MArray<T>& vals) |
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122 { |
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123 octave_idx_type n = this->length (); |
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124 octave_idx_type ext = idx.extent (n); |
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125 if (ext > n) |
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126 { |
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127 this->resize1 (ext); |
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128 n = ext; |
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129 } |
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130 |
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131 octave_quit (); |
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132 |
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133 octave_idx_type len = std::min (idx.length (n), vals.length ()); |
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134 idx.loop (len, _idxbinop_helper<T, xmax> (this->fortran_vec (), vals.data ())); |
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135 } |
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136 |
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137 #include <iostream> |
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138 |
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139 template <class T> |
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140 void MArray<T>::idx_add_nd (const idx_vector& idx, const MArray<T>& vals, int dim) |
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141 { |
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142 int nd = std::max (this->ndims (), vals.ndims ()); |
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143 if (dim < 0) |
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144 dim = vals.dims ().first_non_singleton (); |
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145 else if (dim > nd) |
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146 nd = dim; |
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147 |
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148 // Check dimensions. |
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149 dim_vector ddv = Array<T>::dims ().redim (nd); |
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150 dim_vector sdv = vals.dims ().redim (nd); |
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151 |
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152 octave_idx_type ext = idx.extent (ddv (dim)); |
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153 |
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154 if (ext > ddv(dim)) |
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155 { |
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156 ddv(dim) = ext; |
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157 Array<T>::resize (ddv); |
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158 ext = ddv(dim); |
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159 } |
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160 |
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161 octave_idx_type l,n,u,ns; |
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162 get_extent_triplet (ddv, dim, l, n, u); |
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163 ns = sdv(dim); |
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164 |
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165 sdv(dim) = ddv(dim) = 0; |
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166 if (ddv != sdv) |
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167 (*current_liboctave_error_handler) |
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168 ("accumdim: dimension mismatch"); |
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169 |
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170 T *dst = Array<T>::fortran_vec (); |
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171 const T *src = vals.data (); |
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172 octave_idx_type len = idx.length (ns); |
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173 |
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174 if (l == 1) |
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175 { |
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176 for (octave_idx_type j = 0; j < u; j++) |
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177 { |
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178 octave_quit (); |
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179 |
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180 idx.loop (len, _idxadda_helper<T> (dst + j*n, src + j*ns)); |
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181 } |
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182 } |
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183 else |
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184 { |
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185 for (octave_idx_type j = 0; j < u; j++) |
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186 { |
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187 octave_quit (); |
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188 for (octave_idx_type i = 0; i < len; i++) |
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189 { |
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190 octave_idx_type k = idx(i); |
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191 |
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192 mx_inline_add2 (l, dst + l*k, src + l*i); |
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193 } |
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194 |
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195 dst += l*n; |
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196 src += l*ns; |
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197 } |
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198 } |
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199 } |
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200 |
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201 // N-dimensional array with math ops. |
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202 template <class T> |
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203 void |
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204 MArray<T>::changesign (void) |
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205 { |
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206 if (Array<T>::is_shared ()) |
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207 *this = - *this; |
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208 else |
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209 do_mx_inplace_op<T> (*this, mx_inline_uminus2); |
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210 } |
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211 |
237 | 212 // Element by element MArray by scalar ops. |
213 | |
214 template <class T> | |
1213 | 215 MArray<T>& |
1230 | 216 operator += (MArray<T>& a, const T& s) |
237 | 217 { |
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218 if (a.is_shared ()) |
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219 a = a + s; |
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220 else |
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221 do_ms_inplace_op<T, T> (a, s, mx_inline_add2); |
1230 | 222 return a; |
237 | 223 } |
224 | |
225 template <class T> | |
1213 | 226 MArray<T>& |
1230 | 227 operator -= (MArray<T>& a, const T& s) |
237 | 228 { |
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229 if (a.is_shared ()) |
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230 a = a - s; |
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231 else |
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232 do_ms_inplace_op<T, T> (a, s, mx_inline_sub2); |
1230 | 233 return a; |
237 | 234 } |
235 | |
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236 template <class T> |
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237 MArray<T>& |
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238 operator *= (MArray<T>& a, const T& s) |
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239 { |
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240 if (a.is_shared ()) |
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241 a = a * s; |
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242 else |
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243 do_ms_inplace_op<T, T> (a, s, mx_inline_mul2); |
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244 return a; |
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245 } |
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246 |
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247 template <class T> |
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248 MArray<T>& |
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249 operator /= (MArray<T>& a, const T& s) |
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250 { |
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251 if (a.is_shared ()) |
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252 a = a / s; |
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253 else |
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254 do_ms_inplace_op<T, T> (a, s, mx_inline_div2); |
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255 return a; |
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256 } |
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257 |
237 | 258 // Element by element MArray by MArray ops. |
259 | |
260 template <class T> | |
1213 | 261 MArray<T>& |
1230 | 262 operator += (MArray<T>& a, const MArray<T>& b) |
237 | 263 { |
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264 if (a.is_shared ()) |
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265 a = a + b; |
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266 else |
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267 do_mm_inplace_op<T, T> (a, b, mx_inline_add2, mx_inline_add2, "+="); |
1230 | 268 return a; |
237 | 269 } |
270 | |
271 template <class T> | |
1213 | 272 MArray<T>& |
1230 | 273 operator -= (MArray<T>& a, const MArray<T>& b) |
237 | 274 { |
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275 if (a.is_shared ()) |
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276 a = a - b; |
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277 else |
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278 do_mm_inplace_op<T, T> (a, b, mx_inline_sub2, mx_inline_sub2, "-="); |
1230 | 279 return a; |
237 | 280 } |
281 | |
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282 |
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283 template <class T> |
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284 MArray<T>& |
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285 product_eq (MArray<T>& a, const MArray<T>& b) |
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286 { |
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287 if (a.is_shared ()) |
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288 return a = product (a, b); |
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289 else |
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290 do_mm_inplace_op<T, T> (a, b, mx_inline_mul2, mx_inline_mul2, ".*="); |
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291 return a; |
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292 } |
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293 |
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294 template <class T> |
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295 MArray<T>& |
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296 quotient_eq (MArray<T>& a, const MArray<T>& b) |
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297 { |
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298 if (a.is_shared ()) |
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299 return a = quotient (a, b); |
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300 else |
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301 do_mm_inplace_op<T, T> (a, b, mx_inline_div2, mx_inline_div2, "./="); |
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302 return a; |
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303 } |
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304 |
1213 | 305 // Element by element MArray by scalar ops. |
306 | |
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307 #define MARRAY_NDS_OP(OP, FN) \ |
1213 | 308 template <class T> \ |
309 MArray<T> \ | |
310 operator OP (const MArray<T>& a, const T& s) \ | |
311 { \ | |
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312 return do_ms_binary_op<T, T, T> (a, s, FN); \ |
1213 | 313 } |
237 | 314 |
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315 MARRAY_NDS_OP (+, mx_inline_add) |
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316 MARRAY_NDS_OP (-, mx_inline_sub) |
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317 MARRAY_NDS_OP (*, mx_inline_mul) |
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318 MARRAY_NDS_OP (/, mx_inline_div) |
1213 | 319 |
320 // Element by element scalar by MArray ops. | |
237 | 321 |
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322 #define MARRAY_SND_OP(OP, FN) \ |
1213 | 323 template <class T> \ |
324 MArray<T> \ | |
325 operator OP (const T& s, const MArray<T>& a) \ | |
326 { \ | |
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327 return do_sm_binary_op<T, T, T> (s, a, FN); \ |
3504 | 328 } |
237 | 329 |
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330 MARRAY_SND_OP (+, mx_inline_add) |
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331 MARRAY_SND_OP (-, mx_inline_sub) |
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332 MARRAY_SND_OP (*, mx_inline_mul) |
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333 MARRAY_SND_OP (/, mx_inline_div) |
1213 | 334 |
335 // Element by element MArray by MArray ops. | |
237 | 336 |
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337 #define MARRAY_NDND_OP(FCN, OP, FN) \ |
1213 | 338 template <class T> \ |
339 MArray<T> \ | |
340 FCN (const MArray<T>& a, const MArray<T>& b) \ | |
341 { \ | |
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342 return do_mm_binary_op<T, T, T> (a, b, FN, FN, FN, #FCN); \ |
1213 | 343 } |
237 | 344 |
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345 MARRAY_NDND_OP (operator +, +, mx_inline_add) |
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346 MARRAY_NDND_OP (operator -, -, mx_inline_sub) |
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347 MARRAY_NDND_OP (product, *, mx_inline_mul) |
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348 MARRAY_NDND_OP (quotient, /, mx_inline_div) |
237 | 349 |
350 template <class T> | |
351 MArray<T> | |
3574 | 352 operator + (const MArray<T>& a) |
353 { | |
354 return a; | |
355 } | |
356 | |
357 template <class T> | |
358 MArray<T> | |
237 | 359 operator - (const MArray<T>& a) |
360 { | |
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361 return do_mx_unary_op<T, T> (a, mx_inline_uminus); |
237 | 362 } |