| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | * Copyright (c) 2000-2022 Inria | ||
| 3 | * All rights reserved. | ||
| 4 | * | ||
| 5 | * Redistribution and use in source and binary forms, with or without | ||
| 6 | * modification, are permitted provided that the following conditions are met: | ||
| 7 | * | ||
| 8 | * * Redistributions of source code must retain the above copyright notice, | ||
| 9 | * this list of conditions and the following disclaimer. | ||
| 10 | * * Redistributions in binary form must reproduce the above copyright notice, | ||
| 11 | * this list of conditions and the following disclaimer in the documentation | ||
| 12 | * and/or other materials provided with the distribution. | ||
| 13 | * * Neither the name of the ALICE Project-Team nor the names of its | ||
| 14 | * contributors may be used to endorse or promote products derived from this | ||
| 15 | * software without specific prior written permission. | ||
| 16 | * | ||
| 17 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
| 18 | * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 19 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
| 20 | * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
| 21 | * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
| 22 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
| 23 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
| 24 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
| 25 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
| 26 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
| 27 | * POSSIBILITY OF SUCH DAMAGE. | ||
| 28 | * | ||
| 29 | * Contact: Bruno Levy | ||
| 30 | * | ||
| 31 | * https://www.inria.fr/fr/bruno-levy | ||
| 32 | * | ||
| 33 | * Inria, | ||
| 34 | * Domaine de Voluceau, | ||
| 35 | * 78150 Le Chesnay - Rocquencourt | ||
| 36 | * FRANCE | ||
| 37 | * | ||
| 38 | */ | ||
| 39 | |||
| 40 | #include <geogram/numerics/expansion_nt.h> | ||
| 41 | |||
| 42 | namespace GEO { | ||
| 43 | |||
| 44 | ✗ | expansion_nt& expansion_nt::operator+= (const expansion_nt& rhs) { | |
| 45 | ✗ | index_t e_capa = expansion::sum_capacity(rep(), rhs.rep()); | |
| 46 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 47 | ✗ | e->assign_sum(rep(), rhs.rep()); | |
| 48 | ✗ | cleanup(); | |
| 49 | ✗ | rep_ = e; | |
| 50 | ✗ | return *this; | |
| 51 | } | ||
| 52 | |||
| 53 | ✗ | expansion_nt& expansion_nt::operator+= (double rhs) { | |
| 54 | ✗ | index_t e_capa = expansion::sum_capacity(rep(), rhs); | |
| 55 | |||
| 56 | // TODO: optimized in-place version to be used | ||
| 57 | // if(!shared() && e_capa < rep().capacity()) | ||
| 58 | |||
| 59 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 60 | ✗ | e->assign_sum(rep(), rhs); | |
| 61 | ✗ | cleanup(); | |
| 62 | ✗ | rep_ = e; | |
| 63 | ✗ | return *this; | |
| 64 | } | ||
| 65 | |||
| 66 | ✗ | expansion_nt& expansion_nt::operator-= (const expansion_nt& rhs) { | |
| 67 | ✗ | index_t e_capa = expansion::diff_capacity(rep(), rhs.rep()); | |
| 68 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 69 | ✗ | e->assign_diff(rep(), rhs.rep()); | |
| 70 | ✗ | cleanup(); | |
| 71 | ✗ | rep_ = e; | |
| 72 | ✗ | return *this; | |
| 73 | } | ||
| 74 | |||
| 75 | ✗ | expansion_nt& expansion_nt::operator-= (double rhs) { | |
| 76 | ✗ | index_t e_capa = expansion::diff_capacity(rep(), rhs); | |
| 77 | |||
| 78 | // TODO: optimized in-place version to be used | ||
| 79 | // if(!shared() && e_capa < rep().capacity()) | ||
| 80 | |||
| 81 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 82 | ✗ | e->assign_diff(rep(), rhs); | |
| 83 | ✗ | cleanup(); | |
| 84 | ✗ | rep_ = e; | |
| 85 | ✗ | return *this; | |
| 86 | } | ||
| 87 | |||
| 88 | ✗ | expansion_nt& expansion_nt::operator*= (const expansion_nt& rhs) { | |
| 89 | ✗ | index_t e_capa = expansion::product_capacity(rep(), rhs.rep()); | |
| 90 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 91 | ✗ | e->assign_product(rep(), rhs.rep()); | |
| 92 | ✗ | cleanup(); | |
| 93 | ✗ | rep_ = e; | |
| 94 | ✗ | return *this; | |
| 95 | } | ||
| 96 | |||
| 97 | ✗ | expansion_nt& expansion_nt::operator*= (double rhs) { | |
| 98 | ✗ | index_t e_capa = expansion::product_capacity(rep(), rhs); | |
| 99 | |||
| 100 | // TODO: optimized in-place version to be used | ||
| 101 | // if(!shared() && e_capa < rep().capacity()) | ||
| 102 | |||
| 103 | ✗ | expansion* e = expansion::new_expansion_on_heap(e_capa); | |
| 104 | ✗ | e->assign_product(rep(), rhs); | |
| 105 | ✗ | cleanup(); | |
| 106 | ✗ | rep_ = e; | |
| 107 | ✗ | return *this; | |
| 108 | } | ||
| 109 | |||
| 110 | /************************************************************************/ | ||
| 111 | |||
| 112 | 437531 | expansion_nt expansion_nt::operator+ (const expansion_nt& rhs) const { | |
| 113 | 437531 | expansion* e = expansion::new_expansion_on_heap( | |
| 114 | expansion::sum_capacity(rep(), rhs.rep()) | ||
| 115 | ); | ||
| 116 | 437531 | e->assign_sum(rep(), rhs.rep()); | |
| 117 | 437531 | return expansion_nt(e); | |
| 118 | } | ||
| 119 | |||
| 120 | 2004149 | expansion_nt expansion_nt::operator- (const expansion_nt& rhs) const { | |
| 121 | 2004149 | expansion* e = expansion::new_expansion_on_heap( | |
| 122 | expansion::diff_capacity(rep(), rhs.rep()) | ||
| 123 | ); | ||
| 124 | 2004149 | e->assign_diff(rep(), rhs.rep()); | |
| 125 | 2004149 | return expansion_nt(e); | |
| 126 | } | ||
| 127 | |||
| 128 | 2563050 | expansion_nt expansion_nt::operator* (const expansion_nt& rhs) const { | |
| 129 | 2563050 | expansion* e = expansion::new_expansion_on_heap( | |
| 130 | expansion::product_capacity(rep(), rhs.rep()) | ||
| 131 | ); | ||
| 132 | 2563050 | e->assign_product(rep(), rhs.rep()); | |
| 133 | 2563050 | return expansion_nt(e); | |
| 134 | } | ||
| 135 | |||
| 136 | ✗ | expansion_nt expansion_nt::operator+ (double rhs) const { | |
| 137 | ✗ | expansion* e = expansion::new_expansion_on_heap( | |
| 138 | expansion::sum_capacity(rep(), rhs) | ||
| 139 | ); | ||
| 140 | ✗ | e->assign_sum(rep(), rhs); | |
| 141 | ✗ | return expansion_nt(e); | |
| 142 | } | ||
| 143 | |||
| 144 | ✗ | expansion_nt expansion_nt::operator- (double rhs) const { | |
| 145 | ✗ | expansion* e = expansion::new_expansion_on_heap( | |
| 146 | expansion::diff_capacity(rep(), rhs) | ||
| 147 | ); | ||
| 148 | ✗ | e->assign_diff(rep(), rhs); | |
| 149 | ✗ | return expansion_nt(e); | |
| 150 | } | ||
| 151 | |||
| 152 | ✗ | expansion_nt expansion_nt::operator* (double rhs) const { | |
| 153 | ✗ | expansion* e = expansion::new_expansion_on_heap( | |
| 154 | expansion::product_capacity(rep(), rhs) | ||
| 155 | ); | ||
| 156 | ✗ | e->assign_product(rep(), rhs); | |
| 157 | ✗ | return expansion_nt(e); | |
| 158 | } | ||
| 159 | |||
| 160 | /************************************************************************/ | ||
| 161 | |||
| 162 | 67566 | expansion_nt expansion_nt::operator- () const { | |
| 163 | 67566 | expansion_nt result(*this); | |
| 164 | 67566 | result.rep().negate(); | |
| 165 | 67566 | return result; | |
| 166 | } | ||
| 167 | |||
| 168 | /************************************************************************/ | ||
| 169 | |||
| 170 | 2441048 | expansion_nt expansion_nt_determinant( | |
| 171 | const expansion_nt& a00,const expansion_nt& a01, | ||
| 172 | const expansion_nt& a10,const expansion_nt& a11 | ||
| 173 | ) { | ||
| 174 | 2441048 | expansion* result = expansion::new_expansion_on_heap( | |
| 175 | expansion::det2x2_capacity(a00.rep(),a01.rep(),a10.rep(),a11.rep()) | ||
| 176 | ); | ||
| 177 | 2441048 | result->assign_det2x2(a00.rep(),a01.rep(),a10.rep(),a11.rep()); | |
| 178 | 2441048 | return expansion_nt(result); | |
| 179 | } | ||
| 180 | |||
| 181 | |||
| 182 | 17370 | expansion_nt expansion_nt_determinant( | |
| 183 | const expansion_nt& a00,const expansion_nt& a01,const expansion_nt& a02, | ||
| 184 | const expansion_nt& a10,const expansion_nt& a11,const expansion_nt& a12, | ||
| 185 | const expansion_nt& a20,const expansion_nt& a21,const expansion_nt& a22 | ||
| 186 | ) { | ||
| 187 | // First compute the det2x2 | ||
| 188 | const expansion& m01 = | ||
| 189 |
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17370 | expansion_det2x2(a00.rep(), a10.rep(), a01.rep(), a11.rep()); |
| 190 | const expansion& m02 = | ||
| 191 |
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17370 | expansion_det2x2(a00.rep(), a20.rep(), a01.rep(), a21.rep()); |
| 192 | const expansion& m12 = | ||
| 193 |
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17370 | expansion_det2x2(a10.rep(), a20.rep(), a11.rep(), a21.rep()); |
| 194 | |||
| 195 | // Now compute the minors of rank 3 | ||
| 196 |
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17370 | const expansion& z1 = expansion_product(m01,a22.rep()); |
| 197 |
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17370 | const expansion& z2 = expansion_product(m02,a12.rep()).negate(); |
| 198 |
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17370 | const expansion& z3 = expansion_product(m12,a02.rep()); |
| 199 | |||
| 200 | 17370 | return expansion_nt(expansion_nt::SUM, z1, z2, z3); | |
| 201 | } | ||
| 202 | |||
| 203 | ✗ | expansion_nt expansion_nt_determinant( | |
| 204 | const expansion_nt& a00,const expansion_nt& a01, | ||
| 205 | const expansion_nt& a02,const expansion_nt& a03, | ||
| 206 | const expansion_nt& a10,const expansion_nt& a11, | ||
| 207 | const expansion_nt& a12,const expansion_nt& a13, | ||
| 208 | const expansion_nt& a20,const expansion_nt& a21, | ||
| 209 | const expansion_nt& a22,const expansion_nt& a23, | ||
| 210 | const expansion_nt& a30,const expansion_nt& a31, | ||
| 211 | const expansion_nt& a32,const expansion_nt& a33 | ||
| 212 | ) { | ||
| 213 | |||
| 214 | // First compute the det2x2 | ||
| 215 | const expansion& m01 = | ||
| 216 | ✗ | expansion_det2x2(a10.rep(),a00.rep(),a11.rep(),a01.rep()); | |
| 217 | const expansion& m02 = | ||
| 218 | ✗ | expansion_det2x2(a20.rep(),a00.rep(),a21.rep(),a01.rep()); | |
| 219 | const expansion& m03 = | ||
| 220 | ✗ | expansion_det2x2(a30.rep(),a00.rep(),a31.rep(),a01.rep()); | |
| 221 | const expansion& m12 = | ||
| 222 | ✗ | expansion_det2x2(a20.rep(),a10.rep(),a21.rep(),a11.rep()); | |
| 223 | const expansion& m13 = | ||
| 224 | ✗ | expansion_det2x2(a30.rep(),a10.rep(),a31.rep(),a11.rep()); | |
| 225 | const expansion& m23 = | ||
| 226 | ✗ | expansion_det2x2(a30.rep(),a20.rep(),a31.rep(),a21.rep()); | |
| 227 | |||
| 228 | // Now compute the minors of rank 3 | ||
| 229 | ✗ | const expansion& m012_1 = expansion_product(m12,a02.rep()); | |
| 230 | ✗ | expansion& m012_2 = expansion_product(m02,a12.rep()); m012_2.negate(); | |
| 231 | ✗ | const expansion& m012_3 = expansion_product(m01,a22.rep()); | |
| 232 | ✗ | const expansion& m012 = expansion_sum3(m012_1, m012_2, m012_3); | |
| 233 | |||
| 234 | ✗ | const expansion& m013_1 = expansion_product(m13,a02.rep()); | |
| 235 | ✗ | expansion& m013_2 = expansion_product(m03,a12.rep()); m013_2.negate(); | |
| 236 | |||
| 237 | ✗ | const expansion& m013_3 = expansion_product(m01,a32.rep()); | |
| 238 | ✗ | const expansion& m013 = expansion_sum3(m013_1, m013_2, m013_3); | |
| 239 | |||
| 240 | ✗ | const expansion& m023_1 = expansion_product(m23,a02.rep()); | |
| 241 | ✗ | expansion& m023_2 = expansion_product(m03,a22.rep()); m023_2.negate(); | |
| 242 | ✗ | const expansion& m023_3 = expansion_product(m02,a32.rep()); | |
| 243 | ✗ | const expansion& m023 = expansion_sum3(m023_1, m023_2, m023_3); | |
| 244 | |||
| 245 | ✗ | const expansion& m123_1 = expansion_product(m23,a12.rep()); | |
| 246 | ✗ | expansion& m123_2 = expansion_product(m13,a22.rep()); m123_2.negate(); | |
| 247 | ✗ | const expansion& m123_3 = expansion_product(m12,a32.rep()); | |
| 248 | ✗ | const expansion& m123 = expansion_sum3(m123_1, m123_2, m123_3); | |
| 249 | |||
| 250 | // Now compute the minors of rank 4 | ||
| 251 | ✗ | const expansion& m0123_1 = expansion_product(m123,a03.rep()); | |
| 252 | ✗ | const expansion& m0123_2 = expansion_product(m023,a13.rep()); | |
| 253 | ✗ | const expansion& m0123_3 = expansion_product(m013,a23.rep()); | |
| 254 | ✗ | const expansion& m0123_4 = expansion_product(m012,a33.rep()); | |
| 255 | |||
| 256 | ✗ | const expansion& z1 = expansion_sum(m0123_1, m0123_3); | |
| 257 | ✗ | const expansion& z2 = expansion_sum(m0123_2, m0123_4); | |
| 258 | |||
| 259 | ✗ | return expansion_nt(expansion_nt::DIFF,z1,z2); | |
| 260 | } | ||
| 261 | |||
| 262 | /***********************************************************************/ | ||
| 263 | |||
| 264 | namespace Numeric { | ||
| 265 | |||
| 266 | 2240723 | template<> Sign ratio_compare( | |
| 267 | const expansion_nt& a_num, const expansion_nt& a_denom, | ||
| 268 | const expansion_nt& b_num, const expansion_nt& b_denom | ||
| 269 | ) { | ||
| 270 | // TODO HERE: CHECK THAT THIS FITS ON STACK | ||
| 271 | |||
| 272 | 2240723 | Sign s1 = Sign(a_num.sign()*a_denom.sign()); | |
| 273 | 2240723 | Sign s2 = Sign(b_num.sign()*b_denom.sign()); | |
| 274 |
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2240723 | if(s1 == ZERO && s2 == ZERO) { |
| 275 | 15243 | return ZERO; | |
| 276 | } | ||
| 277 |
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2225480 | if(s1 != s2) { |
| 278 |
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273522 | return (int(s1) > int(s2) ? POSITIVE : NEGATIVE); |
| 279 | } | ||
| 280 | |||
| 281 |
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1951958 | if(a_denom == b_denom) { |
| 282 |
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237683 | if(std::max(a_num.length(),b_num.length()) < 16) { |
| 283 |
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237683 | const expansion& diff_num = expansion_diff( |
| 284 | a_num.rep(), b_num.rep() | ||
| 285 | ); | ||
| 286 | 237683 | return Sign(diff_num.sign() * a_denom.sign()); | |
| 287 | } else { | ||
| 288 | ✗ | expansion_nt diff_num = a_num - b_num; | |
| 289 | ✗ | return Sign(diff_num.sign() * a_denom.sign()); | |
| 290 | ✗ | } | |
| 291 | } | ||
| 292 | |||
| 293 | 1714275 | if( | |
| 294 |
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2905513 | std::max(a_num.length(),b_num.length()) < 4 && |
| 295 |
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2905513 | std::max(a_denom.length(),b_denom.length()) < 4 |
| 296 | ) { | ||
| 297 |
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1191230 | const expansion& num_a = expansion_product( |
| 298 | a_num.rep(), b_denom.rep() | ||
| 299 | ); | ||
| 300 |
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1191230 | const expansion& num_b = expansion_product( |
| 301 | b_num.rep(), a_denom.rep() | ||
| 302 | ); | ||
| 303 |
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1191230 | const expansion& diff_num = expansion_diff(num_a, num_b); |
| 304 | return Sign( | ||
| 305 | 1191230 | diff_num.sign() * a_denom.sign() * b_denom.sign() | |
| 306 | 1191230 | ); | |
| 307 | } else { | ||
| 308 |
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523045 | expansion_nt num_a = a_num * b_denom; |
| 309 |
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523045 | expansion_nt num_b = b_num * a_denom; |
| 310 |
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523045 | expansion_nt diff_num = num_a - num_b; |
| 311 | return Sign( | ||
| 312 |
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523045 | diff_num.sign() * a_denom.sign() * b_denom.sign() |
| 313 | 523045 | ); | |
| 314 | 523045 | } | |
| 315 | } | ||
| 316 | |||
| 317 | } | ||
| 318 | |||
| 319 | } | ||
| 320 |