1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Rational Type Performance</title> 5<link rel="stylesheet" href="../../multiprecision.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../../index.html" title="Chapter 1. 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As usual, performance 33 results should be taken with a healthy dose of scepticism, and real-world 34 performance may vary widely depending upon the specifics of the program. 35 In each table relative times are given first, with the best performer given 36 a score of 1. Total actual times are given in brackets, measured in seconds 37 for 500000 operations. 38 </p> 39<div class="table"> 40<a name="boost_multiprecision.perf.rational_performance.operator"></a><p class="title"><b>Table 1.72. Operator *</b></p> 41<div class="table-contents"><table class="table" summary="Operator *"> 42<colgroup> 43<col> 44<col> 45<col> 46<col> 47<col> 48</colgroup> 49<thead><tr> 50<th> 51 <p> 52 Backend 53 </p> 54 </th> 55<th> 56 <p> 57 128 Bits 58 </p> 59 </th> 60<th> 61 <p> 62 256 Bits 63 </p> 64 </th> 65<th> 66 <p> 67 512 Bits 68 </p> 69 </th> 70<th> 71 <p> 72 1024 Bits 73 </p> 74 </th> 75</tr></thead> 76<tbody> 77<tr> 78<td> 79 <p> 80 cpp_rational 81 </p> 82 </td> 83<td> 84 <p> 85 2.59318 (1.11835s) 86 </p> 87 </td> 88<td> 89 <p> 90 3.74332 (6.61855s) 91 </p> 92 </td> 93<td> 94 <p> 95 4.71871 (18.5981s) 96 </p> 97 </td> 98<td> 99 <p> 100 5.48511 (47.0022s) 101 </p> 102 </td> 103</tr> 104<tr> 105<td> 106 <p> 107 mpq_rational 108 </p> 109 </td> 110<td> 111 <p> 112 <span class="bold"><strong>1</strong></span> (0.431264s) 113 </p> 114 </td> 115<td> 116 <p> 117 <span class="bold"><strong>1</strong></span> (1.7681s) 118 </p> 119 </td> 120<td> 121 <p> 122 <span class="bold"><strong>1</strong></span> (3.94136s) 123 </p> 124 </td> 125<td> 126 <p> 127 <span class="bold"><strong>1</strong></span> (8.56905s) 128 </p> 129 </td> 130</tr> 131</tbody> 132</table></div> 133</div> 134<br class="table-break"><div class="table"> 135<a name="boost_multiprecision.perf.rational_performance.operator_int"></a><p class="title"><b>Table 1.73. Operator *(int)</b></p> 136<div class="table-contents"><table class="table" summary="Operator *(int)"> 137<colgroup> 138<col> 139<col> 140<col> 141<col> 142<col> 143</colgroup> 144<thead><tr> 145<th> 146 <p> 147 Backend 148 </p> 149 </th> 150<th> 151 <p> 152 128 Bits 153 </p> 154 </th> 155<th> 156 <p> 157 256 Bits 158 </p> 159 </th> 160<th> 161 <p> 162 512 Bits 163 </p> 164 </th> 165<th> 166 <p> 167 1024 Bits 168 </p> 169 </th> 170</tr></thead> 171<tbody> 172<tr> 173<td> 174 <p> 175 cpp_rational 176 </p> 177 </td> 178<td> 179 <p> 180 5.63431 (0.612884s) 181 </p> 182 </td> 183<td> 184 <p> 185 25.5205 (2.83784s) 186 </p> 187 </td> 188<td> 189 <p> 190 64.6798 (7.61151s) 191 </p> 192 </td> 193<td> 194 <p> 195 135.335 (19.4821s) 196 </p> 197 </td> 198</tr> 199<tr> 200<td> 201 <p> 202 mpq_rational 203 </p> 204 </td> 205<td> 206 <p> 207 <span class="bold"><strong>1</strong></span> (0.108777s) 208 </p> 209 </td> 210<td> 211 <p> 212 <span class="bold"><strong>1</strong></span> (0.111198s) 213 </p> 214 </td> 215<td> 216 <p> 217 <span class="bold"><strong>1</strong></span> (0.11768s) 218 </p> 219 </td> 220<td> 221 <p> 222 <span class="bold"><strong>1</strong></span> (0.143955s) 223 </p> 224 </td> 225</tr> 226</tbody> 227</table></div> 228</div> 229<br class="table-break"><div class="table"> 230<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long"></a><p class="title"><b>Table 1.74. Operator *(unsigned long long)</b></p> 231<div class="table-contents"><table class="table" summary="Operator *(unsigned long long)"> 232<colgroup> 233<col> 234<col> 235<col> 236<col> 237<col> 238</colgroup> 239<thead><tr> 240<th> 241 <p> 242 Backend 243 </p> 244 </th> 245<th> 246 <p> 247 128 Bits 248 </p> 249 </th> 250<th> 251 <p> 252 256 Bits 253 </p> 254 </th> 255<th> 256 <p> 257 512 Bits 258 </p> 259 </th> 260<th> 261 <p> 262 1024 Bits 263 </p> 264 </th> 265</tr></thead> 266<tbody> 267<tr> 268<td> 269 <p> 270 cpp_rational 271 </p> 272 </td> 273<td> 274 <p> 275 4.44786 (0.691659s) 276 </p> 277 </td> 278<td> 279 <p> 280 18.4155 (2.97414s) 281 </p> 282 </td> 283<td> 284 <p> 285 44.4009 (7.64879s) 286 </p> 287 </td> 288<td> 289 <p> 290 98.4603 (19.5719s) 291 </p> 292 </td> 293</tr> 294<tr> 295<td> 296 <p> 297 mpq_rational 298 </p> 299 </td> 300<td> 301 <p> 302 <span class="bold"><strong>1</strong></span> (0.155504s) 303 </p> 304 </td> 305<td> 306 <p> 307 <span class="bold"><strong>1</strong></span> (0.161502s) 308 </p> 309 </td> 310<td> 311 <p> 312 <span class="bold"><strong>1</strong></span> (0.172267s) 313 </p> 314 </td> 315<td> 316 <p> 317 <span class="bold"><strong>1</strong></span> (0.19878s) 318 </p> 319 </td> 320</tr> 321</tbody> 322</table></div> 323</div> 324<br class="table-break"><div class="table"> 325<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long0"></a><p class="title"><b>Table 1.75. Operator *=(unsigned long long)</b></p> 326<div class="table-contents"><table class="table" summary="Operator *=(unsigned long long)"> 327<colgroup> 328<col> 329<col> 330<col> 331<col> 332<col> 333</colgroup> 334<thead><tr> 335<th> 336 <p> 337 Backend 338 </p> 339 </th> 340<th> 341 <p> 342 128 Bits 343 </p> 344 </th> 345<th> 346 <p> 347 256 Bits 348 </p> 349 </th> 350<th> 351 <p> 352 512 Bits 353 </p> 354 </th> 355<th> 356 <p> 357 1024 Bits 358 </p> 359 </th> 360</tr></thead> 361<tbody> 362<tr> 363<td> 364 <p> 365 cpp_rational 366 </p> 367 </td> 368<td> 369 <p> 370 4.12301 (0.690473s) 371 </p> 372 </td> 373<td> 374 <p> 375 20.2597 (3.35519s) 376 </p> 377 </td> 378<td> 379 <p> 380 42.8043 (7.47312s) 381 </p> 382 </td> 383<td> 384 <p> 385 94.2742 (19.3092s) 386 </p> 387 </td> 388</tr> 389<tr> 390<td> 391 <p> 392 mpq_rational 393 </p> 394 </td> 395<td> 396 <p> 397 <span class="bold"><strong>1</strong></span> (0.167468s) 398 </p> 399 </td> 400<td> 401 <p> 402 <span class="bold"><strong>1</strong></span> (0.165609s) 403 </p> 404 </td> 405<td> 406 <p> 407 <span class="bold"><strong>1</strong></span> (0.174588s) 408 </p> 409 </td> 410<td> 411 <p> 412 <span class="bold"><strong>1</strong></span> (0.20482s) 413 </p> 414 </td> 415</tr> 416</tbody> 417</table></div> 418</div> 419<br class="table-break"><div class="table"> 420<a name="boost_multiprecision.perf.rational_performance.operator0"></a><p class="title"><b>Table 1.76. Operator +</b></p> 421<div class="table-contents"><table class="table" summary="Operator +"> 422<colgroup> 423<col> 424<col> 425<col> 426<col> 427<col> 428</colgroup> 429<thead><tr> 430<th> 431 <p> 432 Backend 433 </p> 434 </th> 435<th> 436 <p> 437 128 Bits 438 </p> 439 </th> 440<th> 441 <p> 442 256 Bits 443 </p> 444 </th> 445<th> 446 <p> 447 512 Bits 448 </p> 449 </th> 450<th> 451 <p> 452 1024 Bits 453 </p> 454 </th> 455</tr></thead> 456<tbody> 457<tr> 458<td> 459 <p> 460 cpp_rational 461 </p> 462 </td> 463<td> 464 <p> 465 8.51825 (1.97719s) 466 </p> 467 </td> 468<td> 469 <p> 470 7.8609 (7.34254s) 471 </p> 472 </td> 473<td> 474 <p> 475 9.73008 (21.2507s) 476 </p> 477 </td> 478<td> 479 <p> 480 11.1497 (49.7843s) 481 </p> 482 </td> 483</tr> 484<tr> 485<td> 486 <p> 487 mpq_rational 488 </p> 489 </td> 490<td> 491 <p> 492 <span class="bold"><strong>1</strong></span> (0.232113s) 493 </p> 494 </td> 495<td> 496 <p> 497 <span class="bold"><strong>1</strong></span> (0.93406s) 498 </p> 499 </td> 500<td> 501 <p> 502 <span class="bold"><strong>1</strong></span> (2.18402s) 503 </p> 504 </td> 505<td> 506 <p> 507 <span class="bold"><strong>1</strong></span> (4.46507s) 508 </p> 509 </td> 510</tr> 511</tbody> 512</table></div> 513</div> 514<br class="table-break"><div class="table"> 515<a name="boost_multiprecision.perf.rational_performance.operator_int0"></a><p class="title"><b>Table 1.77. Operator +(int)</b></p> 516<div class="table-contents"><table class="table" summary="Operator +(int)"> 517<colgroup> 518<col> 519<col> 520<col> 521<col> 522<col> 523</colgroup> 524<thead><tr> 525<th> 526 <p> 527 Backend 528 </p> 529 </th> 530<th> 531 <p> 532 128 Bits 533 </p> 534 </th> 535<th> 536 <p> 537 256 Bits 538 </p> 539 </th> 540<th> 541 <p> 542 512 Bits 543 </p> 544 </th> 545<th> 546 <p> 547 1024 Bits 548 </p> 549 </th> 550</tr></thead> 551<tbody> 552<tr> 553<td> 554 <p> 555 cpp_rational 556 </p> 557 </td> 558<td> 559 <p> 560 7.17647 (0.669913s) 561 </p> 562 </td> 563<td> 564 <p> 565 29.8489 (2.91217s) 566 </p> 567 </td> 568<td> 569 <p> 570 75.7668 (7.40631s) 571 </p> 572 </td> 573<td> 574 <p> 575 254.371 (29.7057s) 576 </p> 577 </td> 578</tr> 579<tr> 580<td> 581 <p> 582 mpq_rational 583 </p> 584 </td> 585<td> 586 <p> 587 <span class="bold"><strong>1</strong></span> (0.0933486s) 588 </p> 589 </td> 590<td> 591 <p> 592 <span class="bold"><strong>1</strong></span> (0.0975637s) 593 </p> 594 </td> 595<td> 596 <p> 597 <span class="bold"><strong>1</strong></span> (0.0977514s) 598 </p> 599 </td> 600<td> 601 <p> 602 <span class="bold"><strong>1</strong></span> (0.116781s) 603 </p> 604 </td> 605</tr> 606</tbody> 607</table></div> 608</div> 609<br class="table-break"><div class="table"> 610<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long1"></a><p class="title"><b>Table 1.78. Operator +(unsigned long long)</b></p> 611<div class="table-contents"><table class="table" summary="Operator +(unsigned long long)"> 612<colgroup> 613<col> 614<col> 615<col> 616<col> 617<col> 618</colgroup> 619<thead><tr> 620<th> 621 <p> 622 Backend 623 </p> 624 </th> 625<th> 626 <p> 627 128 Bits 628 </p> 629 </th> 630<th> 631 <p> 632 256 Bits 633 </p> 634 </th> 635<th> 636 <p> 637 512 Bits 638 </p> 639 </th> 640<th> 641 <p> 642 1024 Bits 643 </p> 644 </th> 645</tr></thead> 646<tbody> 647<tr> 648<td> 649 <p> 650 cpp_rational 651 </p> 652 </td> 653<td> 654 <p> 655 12.4996 (1.16835s) 656 </p> 657 </td> 658<td> 659 <p> 660 33.6691 (3.37438s) 661 </p> 662 </td> 663<td> 664 <p> 665 82.0167 (8.08959s) 666 </p> 667 </td> 668<td> 669 <p> 670 171.692 (19.9733s) 671 </p> 672 </td> 673</tr> 674<tr> 675<td> 676 <p> 677 mpq_rational 678 </p> 679 </td> 680<td> 681 <p> 682 <span class="bold"><strong>1</strong></span> (0.0934708s) 683 </p> 684 </td> 685<td> 686 <p> 687 <span class="bold"><strong>1</strong></span> (0.100222s) 688 </p> 689 </td> 690<td> 691 <p> 692 <span class="bold"><strong>1</strong></span> (0.0986335s) 693 </p> 694 </td> 695<td> 696 <p> 697 <span class="bold"><strong>1</strong></span> (0.116332s) 698 </p> 699 </td> 700</tr> 701</tbody> 702</table></div> 703</div> 704<br class="table-break"><div class="table"> 705<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long2"></a><p class="title"><b>Table 1.79. Operator +=(unsigned long long)</b></p> 706<div class="table-contents"><table class="table" summary="Operator +=(unsigned long long)"> 707<colgroup> 708<col> 709<col> 710<col> 711<col> 712<col> 713</colgroup> 714<thead><tr> 715<th> 716 <p> 717 Backend 718 </p> 719 </th> 720<th> 721 <p> 722 128 Bits 723 </p> 724 </th> 725<th> 726 <p> 727 256 Bits 728 </p> 729 </th> 730<th> 731 <p> 732 512 Bits 733 </p> 734 </th> 735<th> 736 <p> 737 1024 Bits 738 </p> 739 </th> 740</tr></thead> 741<tbody> 742<tr> 743<td> 744 <p> 745 cpp_rational 746 </p> 747 </td> 748<td> 749 <p> 750 11.7663 (1.14891s) 751 </p> 752 </td> 753<td> 754 <p> 755 34.4202 (3.45541s) 756 </p> 757 </td> 758<td> 759 <p> 760 78.1856 (8.17612s) 761 </p> 762 </td> 763<td> 764 <p> 765 161.351 (20.0733s) 766 </p> 767 </td> 768</tr> 769<tr> 770<td> 771 <p> 772 mpq_rational 773 </p> 774 </td> 775<td> 776 <p> 777 <span class="bold"><strong>1</strong></span> (0.0976436s) 778 </p> 779 </td> 780<td> 781 <p> 782 <span class="bold"><strong>1</strong></span> (0.100389s) 783 </p> 784 </td> 785<td> 786 <p> 787 <span class="bold"><strong>1</strong></span> (0.104573s) 788 </p> 789 </td> 790<td> 791 <p> 792 <span class="bold"><strong>1</strong></span> (0.124408s) 793 </p> 794 </td> 795</tr> 796</tbody> 797</table></div> 798</div> 799<br class="table-break"><div class="table"> 800<a name="boost_multiprecision.perf.rational_performance.operator1"></a><p class="title"><b>Table 1.80. Operator -</b></p> 801<div class="table-contents"><table class="table" summary="Operator -"> 802<colgroup> 803<col> 804<col> 805<col> 806<col> 807<col> 808</colgroup> 809<thead><tr> 810<th> 811 <p> 812 Backend 813 </p> 814 </th> 815<th> 816 <p> 817 128 Bits 818 </p> 819 </th> 820<th> 821 <p> 822 256 Bits 823 </p> 824 </th> 825<th> 826 <p> 827 512 Bits 828 </p> 829 </th> 830<th> 831 <p> 832 1024 Bits 833 </p> 834 </th> 835</tr></thead> 836<tbody> 837<tr> 838<td> 839 <p> 840 cpp_rational 841 </p> 842 </td> 843<td> 844 <p> 845 8.56942 (2.0234s) 846 </p> 847 </td> 848<td> 849 <p> 850 7.88071 (7.38282s) 851 </p> 852 </td> 853<td> 854 <p> 855 9.54207 (19.913s) 856 </p> 857 </td> 858<td> 859 <p> 860 11.4343 (50.8786s) 861 </p> 862 </td> 863</tr> 864<tr> 865<td> 866 <p> 867 mpq_rational 868 </p> 869 </td> 870<td> 871 <p> 872 <span class="bold"><strong>1</strong></span> (0.236118s) 873 </p> 874 </td> 875<td> 876 <p> 877 <span class="bold"><strong>1</strong></span> (0.936822s) 878 </p> 879 </td> 880<td> 881 <p> 882 <span class="bold"><strong>1</strong></span> (2.08686s) 883 </p> 884 </td> 885<td> 886 <p> 887 <span class="bold"><strong>1</strong></span> (4.44964s) 888 </p> 889 </td> 890</tr> 891</tbody> 892</table></div> 893</div> 894<br class="table-break"><div class="table"> 895<a name="boost_multiprecision.perf.rational_performance.operator_int1"></a><p class="title"><b>Table 1.81. Operator -(int)</b></p> 896<div class="table-contents"><table class="table" summary="Operator -(int)"> 897<colgroup> 898<col> 899<col> 900<col> 901<col> 902<col> 903</colgroup> 904<thead><tr> 905<th> 906 <p> 907 Backend 908 </p> 909 </th> 910<th> 911 <p> 912 128 Bits 913 </p> 914 </th> 915<th> 916 <p> 917 256 Bits 918 </p> 919 </th> 920<th> 921 <p> 922 512 Bits 923 </p> 924 </th> 925<th> 926 <p> 927 1024 Bits 928 </p> 929 </th> 930</tr></thead> 931<tbody> 932<tr> 933<td> 934 <p> 935 cpp_rational 936 </p> 937 </td> 938<td> 939 <p> 940 6.62286 (0.62794s) 941 </p> 942 </td> 943<td> 944 <p> 945 30.6629 (2.96506s) 946 </p> 947 </td> 948<td> 949 <p> 950 75.926 (7.56072s) 951 </p> 952 </td> 953<td> 954 <p> 955 199.475 (23.42s) 956 </p> 957 </td> 958</tr> 959<tr> 960<td> 961 <p> 962 mpq_rational 963 </p> 964 </td> 965<td> 966 <p> 967 <span class="bold"><strong>1</strong></span> (0.094814s) 968 </p> 969 </td> 970<td> 971 <p> 972 <span class="bold"><strong>1</strong></span> (0.0966986s) 973 </p> 974 </td> 975<td> 976 <p> 977 <span class="bold"><strong>1</strong></span> (0.0995801s) 978 </p> 979 </td> 980<td> 981 <p> 982 <span class="bold"><strong>1</strong></span> (0.117408s) 983 </p> 984 </td> 985</tr> 986</tbody> 987</table></div> 988</div> 989<br class="table-break"><div class="table"> 990<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long3"></a><p class="title"><b>Table 1.82. Operator -(unsigned long long)</b></p> 991<div class="table-contents"><table class="table" summary="Operator -(unsigned long long)"> 992<colgroup> 993<col> 994<col> 995<col> 996<col> 997<col> 998</colgroup> 999<thead><tr> 1000<th> 1001 <p> 1002 Backend 1003 </p> 1004 </th> 1005<th> 1006 <p> 1007 128 Bits 1008 </p> 1009 </th> 1010<th> 1011 <p> 1012 256 Bits 1013 </p> 1014 </th> 1015<th> 1016 <p> 1017 512 Bits 1018 </p> 1019 </th> 1020<th> 1021 <p> 1022 1024 Bits 1023 </p> 1024 </th> 1025</tr></thead> 1026<tbody> 1027<tr> 1028<td> 1029 <p> 1030 cpp_rational 1031 </p> 1032 </td> 1033<td> 1034 <p> 1035 12.3835 (1.16081s) 1036 </p> 1037 </td> 1038<td> 1039 <p> 1040 36.0761 (3.40187s) 1041 </p> 1042 </td> 1043<td> 1044 <p> 1045 83.3673 (8.26011s) 1046 </p> 1047 </td> 1048<td> 1049 <p> 1050 169.239 (20.5682s) 1051 </p> 1052 </td> 1053</tr> 1054<tr> 1055<td> 1056 <p> 1057 mpq_rational 1058 </p> 1059 </td> 1060<td> 1061 <p> 1062 <span class="bold"><strong>1</strong></span> (0.0937381s) 1063 </p> 1064 </td> 1065<td> 1066 <p> 1067 <span class="bold"><strong>1</strong></span> (0.094297s) 1068 </p> 1069 </td> 1070<td> 1071 <p> 1072 <span class="bold"><strong>1</strong></span> (0.099081s) 1073 </p> 1074 </td> 1075<td> 1076 <p> 1077 <span class="bold"><strong>1</strong></span> (0.121534s) 1078 </p> 1079 </td> 1080</tr> 1081</tbody> 1082</table></div> 1083</div> 1084<br class="table-break"><div class="table"> 1085<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long4"></a><p class="title"><b>Table 1.83. Operator -=(unsigned long long)</b></p> 1086<div class="table-contents"><table class="table" summary="Operator -=(unsigned long long)"> 1087<colgroup> 1088<col> 1089<col> 1090<col> 1091<col> 1092<col> 1093</colgroup> 1094<thead><tr> 1095<th> 1096 <p> 1097 Backend 1098 </p> 1099 </th> 1100<th> 1101 <p> 1102 128 Bits 1103 </p> 1104 </th> 1105<th> 1106 <p> 1107 256 Bits 1108 </p> 1109 </th> 1110<th> 1111 <p> 1112 512 Bits 1113 </p> 1114 </th> 1115<th> 1116 <p> 1117 1024 Bits 1118 </p> 1119 </th> 1120</tr></thead> 1121<tbody> 1122<tr> 1123<td> 1124 <p> 1125 cpp_rational 1126 </p> 1127 </td> 1128<td> 1129 <p> 1130 11.6833 (1.16049s) 1131 </p> 1132 </td> 1133<td> 1134 <p> 1135 36.6427 (3.64132s) 1136 </p> 1137 </td> 1138<td> 1139 <p> 1140 77.0952 (8.10257s) 1141 </p> 1142 </td> 1143<td> 1144 <p> 1145 160.444 (20.0829s) 1146 </p> 1147 </td> 1148</tr> 1149<tr> 1150<td> 1151 <p> 1152 mpq_rational 1153 </p> 1154 </td> 1155<td> 1156 <p> 1157 <span class="bold"><strong>1</strong></span> (0.0993285s) 1158 </p> 1159 </td> 1160<td> 1161 <p> 1162 <span class="bold"><strong>1</strong></span> (0.0993737s) 1163 </p> 1164 </td> 1165<td> 1166 <p> 1167 <span class="bold"><strong>1</strong></span> (0.105098s) 1168 </p> 1169 </td> 1170<td> 1171 <p> 1172 <span class="bold"><strong>1</strong></span> (0.12517s) 1173 </p> 1174 </td> 1175</tr> 1176</tbody> 1177</table></div> 1178</div> 1179<br class="table-break"><div class="table"> 1180<a name="boost_multiprecision.perf.rational_performance.operator2"></a><p class="title"><b>Table 1.84. Operator /</b></p> 1181<div class="table-contents"><table class="table" summary="Operator /"> 1182<colgroup> 1183<col> 1184<col> 1185<col> 1186<col> 1187<col> 1188</colgroup> 1189<thead><tr> 1190<th> 1191 <p> 1192 Backend 1193 </p> 1194 </th> 1195<th> 1196 <p> 1197 128 Bits 1198 </p> 1199 </th> 1200<th> 1201 <p> 1202 256 Bits 1203 </p> 1204 </th> 1205<th> 1206 <p> 1207 512 Bits 1208 </p> 1209 </th> 1210<th> 1211 <p> 1212 1024 Bits 1213 </p> 1214 </th> 1215</tr></thead> 1216<tbody> 1217<tr> 1218<td> 1219 <p> 1220 cpp_rational 1221 </p> 1222 </td> 1223<td> 1224 <p> 1225 5.67626 (6.66075s) 1226 </p> 1227 </td> 1228<td> 1229 <p> 1230 5.99288 (21.0634s) 1231 </p> 1232 </td> 1233<td> 1234 <p> 1235 8.08809 (55.0195s) 1236 </p> 1237 </td> 1238<td> 1239 <p> 1240 10.5818 (149.774s) 1241 </p> 1242 </td> 1243</tr> 1244<tr> 1245<td> 1246 <p> 1247 mpq_rational 1248 </p> 1249 </td> 1250<td> 1251 <p> 1252 <span class="bold"><strong>1</strong></span> (1.17344s) 1253 </p> 1254 </td> 1255<td> 1256 <p> 1257 <span class="bold"><strong>1</strong></span> (3.51474s) 1258 </p> 1259 </td> 1260<td> 1261 <p> 1262 <span class="bold"><strong>1</strong></span> (6.80254s) 1263 </p> 1264 </td> 1265<td> 1266 <p> 1267 <span class="bold"><strong>1</strong></span> (14.1539s) 1268 </p> 1269 </td> 1270</tr> 1271</tbody> 1272</table></div> 1273</div> 1274<br class="table-break"><div class="table"> 1275<a name="boost_multiprecision.perf.rational_performance.operator_int2"></a><p class="title"><b>Table 1.85. Operator /(int)</b></p> 1276<div class="table-contents"><table class="table" summary="Operator /(int)"> 1277<colgroup> 1278<col> 1279<col> 1280<col> 1281<col> 1282<col> 1283</colgroup> 1284<thead><tr> 1285<th> 1286 <p> 1287 Backend 1288 </p> 1289 </th> 1290<th> 1291 <p> 1292 128 Bits 1293 </p> 1294 </th> 1295<th> 1296 <p> 1297 256 Bits 1298 </p> 1299 </th> 1300<th> 1301 <p> 1302 512 Bits 1303 </p> 1304 </th> 1305<th> 1306 <p> 1307 1024 Bits 1308 </p> 1309 </th> 1310</tr></thead> 1311<tbody> 1312<tr> 1313<td> 1314 <p> 1315 cpp_rational 1316 </p> 1317 </td> 1318<td> 1319 <p> 1320 5.9046 (0.64166s) 1321 </p> 1322 </td> 1323<td> 1324 <p> 1325 25.5252 (2.84312s) 1326 </p> 1327 </td> 1328<td> 1329 <p> 1330 65.4027 (7.74325s) 1331 </p> 1332 </td> 1333<td> 1334 <p> 1335 134.42 (19.5619s) 1336 </p> 1337 </td> 1338</tr> 1339<tr> 1340<td> 1341 <p> 1342 mpq_rational 1343 </p> 1344 </td> 1345<td> 1346 <p> 1347 <span class="bold"><strong>1</strong></span> (0.108671s) 1348 </p> 1349 </td> 1350<td> 1351 <p> 1352 <span class="bold"><strong>1</strong></span> (0.111385s) 1353 </p> 1354 </td> 1355<td> 1356 <p> 1357 <span class="bold"><strong>1</strong></span> (0.118393s) 1358 </p> 1359 </td> 1360<td> 1361 <p> 1362 <span class="bold"><strong>1</strong></span> (0.145528s) 1363 </p> 1364 </td> 1365</tr> 1366</tbody> 1367</table></div> 1368</div> 1369<br class="table-break"><div class="table"> 1370<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long5"></a><p class="title"><b>Table 1.86. Operator /(unsigned long long)</b></p> 1371<div class="table-contents"><table class="table" summary="Operator /(unsigned long long)"> 1372<colgroup> 1373<col> 1374<col> 1375<col> 1376<col> 1377<col> 1378</colgroup> 1379<thead><tr> 1380<th> 1381 <p> 1382 Backend 1383 </p> 1384 </th> 1385<th> 1386 <p> 1387 128 Bits 1388 </p> 1389 </th> 1390<th> 1391 <p> 1392 256 Bits 1393 </p> 1394 </th> 1395<th> 1396 <p> 1397 512 Bits 1398 </p> 1399 </th> 1400<th> 1401 <p> 1402 1024 Bits 1403 </p> 1404 </th> 1405</tr></thead> 1406<tbody> 1407<tr> 1408<td> 1409 <p> 1410 cpp_rational 1411 </p> 1412 </td> 1413<td> 1414 <p> 1415 4.35172 (0.691696s) 1416 </p> 1417 </td> 1418<td> 1419 <p> 1420 18.2795 (2.94678s) 1421 </p> 1422 </td> 1423<td> 1424 <p> 1425 44.2487 (7.48547s) 1426 </p> 1427 </td> 1428<td> 1429 <p> 1430 99.1392 (19.5526s) 1431 </p> 1432 </td> 1433</tr> 1434<tr> 1435<td> 1436 <p> 1437 mpq_rational 1438 </p> 1439 </td> 1440<td> 1441 <p> 1442 <span class="bold"><strong>1</strong></span> (0.158948s) 1443 </p> 1444 </td> 1445<td> 1446 <p> 1447 <span class="bold"><strong>1</strong></span> (0.161207s) 1448 </p> 1449 </td> 1450<td> 1451 <p> 1452 <span class="bold"><strong>1</strong></span> (0.169168s) 1453 </p> 1454 </td> 1455<td> 1456 <p> 1457 <span class="bold"><strong>1</strong></span> (0.197224s) 1458 </p> 1459 </td> 1460</tr> 1461</tbody> 1462</table></div> 1463</div> 1464<br class="table-break"><div class="table"> 1465<a name="boost_multiprecision.perf.rational_performance.operator_unsigned_long_long6"></a><p class="title"><b>Table 1.87. Operator /=(unsigned long long)</b></p> 1466<div class="table-contents"><table class="table" summary="Operator /=(unsigned long long)"> 1467<colgroup> 1468<col> 1469<col> 1470<col> 1471<col> 1472<col> 1473</colgroup> 1474<thead><tr> 1475<th> 1476 <p> 1477 Backend 1478 </p> 1479 </th> 1480<th> 1481 <p> 1482 128 Bits 1483 </p> 1484 </th> 1485<th> 1486 <p> 1487 256 Bits 1488 </p> 1489 </th> 1490<th> 1491 <p> 1492 512 Bits 1493 </p> 1494 </th> 1495<th> 1496 <p> 1497 1024 Bits 1498 </p> 1499 </th> 1500</tr></thead> 1501<tbody> 1502<tr> 1503<td> 1504 <p> 1505 cpp_rational 1506 </p> 1507 </td> 1508<td> 1509 <p> 1510 4.14511 (0.685733s) 1511 </p> 1512 </td> 1513<td> 1514 <p> 1515 18.3237 (3.08065s) 1516 </p> 1517 </td> 1518<td> 1519 <p> 1520 43.3784 (7.43555s) 1521 </p> 1522 </td> 1523<td> 1524 <p> 1525 94.2547 (19.2754s) 1526 </p> 1527 </td> 1528</tr> 1529<tr> 1530<td> 1531 <p> 1532 mpq_rational 1533 </p> 1534 </td> 1535<td> 1536 <p> 1537 <span class="bold"><strong>1</strong></span> (0.165432s) 1538 </p> 1539 </td> 1540<td> 1541 <p> 1542 <span class="bold"><strong>1</strong></span> (0.168124s) 1543 </p> 1544 </td> 1545<td> 1546 <p> 1547 <span class="bold"><strong>1</strong></span> (0.171411s) 1548 </p> 1549 </td> 1550<td> 1551 <p> 1552 <span class="bold"><strong>1</strong></span> (0.204503s) 1553 </p> 1554 </td> 1555</tr> 1556</tbody> 1557</table></div> 1558</div> 1559<br class="table-break"><div class="table"> 1560<a name="boost_multiprecision.perf.rational_performance.operator_construct"></a><p class="title"><b>Table 1.88. Operator construct</b></p> 1561<div class="table-contents"><table class="table" summary="Operator construct"> 1562<colgroup> 1563<col> 1564<col> 1565<col> 1566<col> 1567<col> 1568</colgroup> 1569<thead><tr> 1570<th> 1571 <p> 1572 Backend 1573 </p> 1574 </th> 1575<th> 1576 <p> 1577 128 Bits 1578 </p> 1579 </th> 1580<th> 1581 <p> 1582 256 Bits 1583 </p> 1584 </th> 1585<th> 1586 <p> 1587 512 Bits 1588 </p> 1589 </th> 1590<th> 1591 <p> 1592 1024 Bits 1593 </p> 1594 </th> 1595</tr></thead> 1596<tbody> 1597<tr> 1598<td> 1599 <p> 1600 cpp_rational 1601 </p> 1602 </td> 1603<td> 1604 <p> 1605 <span class="bold"><strong>1</strong></span> (0.00323537s) 1606 </p> 1607 </td> 1608<td> 1609 <p> 1610 <span class="bold"><strong>1</strong></span> (0.00328614s) 1611 </p> 1612 </td> 1613<td> 1614 <p> 1615 <span class="bold"><strong>1</strong></span> (0.0032946s) 1616 </p> 1617 </td> 1618<td> 1619 <p> 1620 <span class="bold"><strong>1</strong></span> (0.00333283s) 1621 </p> 1622 </td> 1623</tr> 1624<tr> 1625<td> 1626 <p> 1627 mpq_rational 1628 </p> 1629 </td> 1630<td> 1631 <p> 1632 28.9199 (0.0935664s) 1633 </p> 1634 </td> 1635<td> 1636 <p> 1637 28.1463 (0.0924926s) 1638 </p> 1639 </td> 1640<td> 1641 <p> 1642 28.2564 (0.0930936s) 1643 </p> 1644 </td> 1645<td> 1646 <p> 1647 27.5848 (0.0919355s) 1648 </p> 1649 </td> 1650</tr> 1651</tbody> 1652</table></div> 1653</div> 1654<br class="table-break"><div class="table"> 1655<a name="boost_multiprecision.perf.rational_performance.operator_construct_unsigned_long"></a><p class="title"><b>Table 1.89. Operator construct(unsigned long long)</b></p> 1656<div class="table-contents"><table class="table" summary="Operator construct(unsigned long long)"> 1657<colgroup> 1658<col> 1659<col> 1660<col> 1661<col> 1662<col> 1663</colgroup> 1664<thead><tr> 1665<th> 1666 <p> 1667 Backend 1668 </p> 1669 </th> 1670<th> 1671 <p> 1672 128 Bits 1673 </p> 1674 </th> 1675<th> 1676 <p> 1677 256 Bits 1678 </p> 1679 </th> 1680<th> 1681 <p> 1682 512 Bits 1683 </p> 1684 </th> 1685<th> 1686 <p> 1687 1024 Bits 1688 </p> 1689 </th> 1690</tr></thead> 1691<tbody> 1692<tr> 1693<td> 1694 <p> 1695 cpp_rational 1696 </p> 1697 </td> 1698<td> 1699 <p> 1700 <span class="bold"><strong>1</strong></span> (0.00333944s) 1701 </p> 1702 </td> 1703<td> 1704 <p> 1705 <span class="bold"><strong>1</strong></span> (0.00335336s) 1706 </p> 1707 </td> 1708<td> 1709 <p> 1710 <span class="bold"><strong>1</strong></span> (0.00348777s) 1711 </p> 1712 </td> 1713<td> 1714 <p> 1715 <span class="bold"><strong>1</strong></span> (0.00345967s) 1716 </p> 1717 </td> 1718</tr> 1719<tr> 1720<td> 1721 <p> 1722 mpq_rational 1723 </p> 1724 </td> 1725<td> 1726 <p> 1727 29.1785 (0.09744s) 1728 </p> 1729 </td> 1730<td> 1731 <p> 1732 29.1475 (0.097742s) 1733 </p> 1734 </td> 1735<td> 1736 <p> 1737 27.4732 (0.0958203s) 1738 </p> 1739 </td> 1740<td> 1741 <p> 1742 28.6655 (0.099173s) 1743 </p> 1744 </td> 1745</tr> 1746</tbody> 1747</table></div> 1748</div> 1749<br class="table-break"><div class="table"> 1750<a name="boost_multiprecision.perf.rational_performance.operator_construct_unsigned"></a><p class="title"><b>Table 1.90. Operator construct(unsigned)</b></p> 1751<div class="table-contents"><table class="table" summary="Operator construct(unsigned)"> 1752<colgroup> 1753<col> 1754<col> 1755<col> 1756<col> 1757<col> 1758</colgroup> 1759<thead><tr> 1760<th> 1761 <p> 1762 Backend 1763 </p> 1764 </th> 1765<th> 1766 <p> 1767 128 Bits 1768 </p> 1769 </th> 1770<th> 1771 <p> 1772 256 Bits 1773 </p> 1774 </th> 1775<th> 1776 <p> 1777 512 Bits 1778 </p> 1779 </th> 1780<th> 1781 <p> 1782 1024 Bits 1783 </p> 1784 </th> 1785</tr></thead> 1786<tbody> 1787<tr> 1788<td> 1789 <p> 1790 cpp_rational 1791 </p> 1792 </td> 1793<td> 1794 <p> 1795 <span class="bold"><strong>1</strong></span> (0.00321917s) 1796 </p> 1797 </td> 1798<td> 1799 <p> 1800 <span class="bold"><strong>1</strong></span> (0.00319471s) 1801 </p> 1802 </td> 1803<td> 1804 <p> 1805 <span class="bold"><strong>1</strong></span> (0.00327131s) 1806 </p> 1807 </td> 1808<td> 1809 <p> 1810 <span class="bold"><strong>1</strong></span> (0.00366486s) 1811 </p> 1812 </td> 1813</tr> 1814<tr> 1815<td> 1816 <p> 1817 mpq_rational 1818 </p> 1819 </td> 1820<td> 1821 <p> 1822 30.8553 (0.0993283s) 1823 </p> 1824 </td> 1825<td> 1826 <p> 1827 30.5973 (0.0977495s) 1828 </p> 1829 </td> 1830<td> 1831 <p> 1832 29.5866 (0.0967869s) 1833 </p> 1834 </td> 1835<td> 1836 <p> 1837 28.3432 (0.103874s) 1838 </p> 1839 </td> 1840</tr> 1841</tbody> 1842</table></div> 1843</div> 1844<br class="table-break"><div class="table"> 1845<a name="boost_multiprecision.perf.rational_performance.operator_str"></a><p class="title"><b>Table 1.91. Operator str</b></p> 1846<div class="table-contents"><table class="table" summary="Operator str"> 1847<colgroup> 1848<col> 1849<col> 1850<col> 1851<col> 1852<col> 1853</colgroup> 1854<thead><tr> 1855<th> 1856 <p> 1857 Backend 1858 </p> 1859 </th> 1860<th> 1861 <p> 1862 128 Bits 1863 </p> 1864 </th> 1865<th> 1866 <p> 1867 256 Bits 1868 </p> 1869 </th> 1870<th> 1871 <p> 1872 512 Bits 1873 </p> 1874 </th> 1875<th> 1876 <p> 1877 1024 Bits 1878 </p> 1879 </th> 1880</tr></thead> 1881<tbody> 1882<tr> 1883<td> 1884 <p> 1885 cpp_rational 1886 </p> 1887 </td> 1888<td> 1889 <p> 1890 5.80834 (0.00206821s) 1891 </p> 1892 </td> 1893<td> 1894 <p> 1895 11.5273 (0.00645497s) 1896 </p> 1897 </td> 1898<td> 1899 <p> 1900 18.1686 (0.0156602s) 1901 </p> 1902 </td> 1903<td> 1904 <p> 1905 38.1095 (0.0705044s) 1906 </p> 1907 </td> 1908</tr> 1909<tr> 1910<td> 1911 <p> 1912 mpq_rational 1913 </p> 1914 </td> 1915<td> 1916 <p> 1917 <span class="bold"><strong>1</strong></span> (0.000356077s) 1918 </p> 1919 </td> 1920<td> 1921 <p> 1922 <span class="bold"><strong>1</strong></span> (0.000559971s) 1923 </p> 1924 </td> 1925<td> 1926 <p> 1927 <span class="bold"><strong>1</strong></span> (0.000861937s) 1928 </p> 1929 </td> 1930<td> 1931 <p> 1932 <span class="bold"><strong>1</strong></span> (0.00185005s) 1933 </p> 1934 </td> 1935</tr> 1936</tbody> 1937</table></div> 1938</div> 1939<br class="table-break"><div class="table"> 1940<a name="boost_multiprecision.perf.rational_performance.platform"></a><p class="title"><b>Table 1.92. Platform Details</b></p> 1941<div class="table-contents"><table class="table" summary="Platform Details"> 1942<colgroup> 1943<col> 1944<col> 1945</colgroup> 1946<thead><tr> 1947<th> 1948 <p> 1949 Platform 1950 </p> 1951 </th> 1952<th> 1953 <p> 1954 Linux 5.3.0-24-generic, version #26-Ubuntu SMP Thu Nov 14 01:33:18 1955 UTC 2019, x86_64 1956 </p> 1957 </th> 1958</tr></thead> 1959<tbody> 1960<tr> 1961<td> 1962 <p> 1963 Compiler 1964 </p> 1965 </td> 1966<td> 1967 <p> 1968 GNU C++ version 9.2.1 20191008 1969 </p> 1970 </td> 1971</tr> 1972<tr> 1973<td> 1974 <p> 1975 GMP 1976 </p> 1977 </td> 1978<td> 1979 <p> 1980 6.1.2 1981 </p> 1982 </td> 1983</tr> 1984<tr> 1985<td> 1986 <p> 1987 MPFR 1988 </p> 1989 </td> 1990<td> 1991 <p> 1992 262146 1993 </p> 1994 </td> 1995</tr> 1996<tr> 1997<td> 1998 <p> 1999 Boost 2000 </p> 2001 </td> 2002<td> 2003 <p> 2004 107200 2005 </p> 2006 </td> 2007</tr> 2008<tr> 2009<td> 2010 <p> 2011 Run date 2012 </p> 2013 </td> 2014<td> 2015 <p> 2016 Dec 13 2019 2017 </p> 2018 </td> 2019</tr> 2020</tbody> 2021</table></div> 2022</div> 2023<br class="table-break"> 2024</div> 2025<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 2026<td align="left"></td> 2027<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John 2028 Maddock and Christopher Kormanyos<p> 2029 Distributed under the Boost Software License, Version 1.0. (See accompanying 2030 file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) 2031 </p> 2032</div></td> 2033</tr></table> 2034<hr> 2035<div class="spirit-nav"> 2036<a accesskey="p" href="integer_performance.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../map.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> 2037</div> 2038</body> 2039</html> 2040
