1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029
|
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
<meta http-equiv="X-UA-Compatible" content="IE=EDGE" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Motivations for cpp11</title>
<script>// Pandoc 2.9 adds attributes on both header and div. We remove the former (to
// be compatible with the behavior of Pandoc < 2.8).
document.addEventListener('DOMContentLoaded', function(e) {
var hs = document.querySelectorAll("div.section[class*='level'] > :first-child");
var i, h, a;
for (i = 0; i < hs.length; i++) {
h = hs[i];
if (!/^h[1-6]$/i.test(h.tagName)) continue; // it should be a header h1-h6
a = h.attributes;
while (a.length > 0) h.removeAttribute(a[0].name);
}
});
</script>
<style type="text/css">
code{white-space: pre-wrap;}
span.smallcaps{font-variant: small-caps;}
span.underline{text-decoration: underline;}
div.column{display: inline-block; vertical-align: top; width: 50%;}
div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}
ul.task-list{list-style: none;}
</style>
<style type="text/css">
code {
white-space: pre;
}
.sourceCode {
overflow: visible;
}
</style>
<style type="text/css" data-origin="pandoc">
pre > code.sourceCode { white-space: pre; position: relative; }
pre > code.sourceCode > span { display: inline-block; line-height: 1.25; }
pre > code.sourceCode > span:empty { height: 1.2em; }
.sourceCode { overflow: visible; }
code.sourceCode > span { color: inherit; text-decoration: inherit; }
div.sourceCode { margin: 1em 0; }
pre.sourceCode { margin: 0; }
@media screen {
div.sourceCode { overflow: auto; }
}
@media print {
pre > code.sourceCode { white-space: pre-wrap; }
pre > code.sourceCode > span { text-indent: -5em; padding-left: 5em; }
}
pre.numberSource code
{ counter-reset: source-line 0; }
pre.numberSource code > span
{ position: relative; left: -4em; counter-increment: source-line; }
pre.numberSource code > span > a:first-child::before
{ content: counter(source-line);
position: relative; left: -1em; text-align: right; vertical-align: baseline;
border: none; display: inline-block;
-webkit-touch-callout: none; -webkit-user-select: none;
-khtml-user-select: none; -moz-user-select: none;
-ms-user-select: none; user-select: none;
padding: 0 4px; width: 4em;
color: #aaaaaa;
}
pre.numberSource { margin-left: 3em; border-left: 1px solid #aaaaaa; padding-left: 4px; }
div.sourceCode
{ }
@media screen {
pre > code.sourceCode > span > a:first-child::before { text-decoration: underline; }
}
code span.al { color: #ff0000; font-weight: bold; }
code span.an { color: #60a0b0; font-weight: bold; font-style: italic; }
code span.at { color: #7d9029; }
code span.bn { color: #40a070; }
code span.bu { color: #008000; }
code span.cf { color: #007020; font-weight: bold; }
code span.ch { color: #4070a0; }
code span.cn { color: #880000; }
code span.co { color: #60a0b0; font-style: italic; }
code span.cv { color: #60a0b0; font-weight: bold; font-style: italic; }
code span.do { color: #ba2121; font-style: italic; }
code span.dt { color: #902000; }
code span.dv { color: #40a070; }
code span.er { color: #ff0000; font-weight: bold; }
code span.ex { }
code span.fl { color: #40a070; }
code span.fu { color: #06287e; }
code span.im { color: #008000; font-weight: bold; }
code span.in { color: #60a0b0; font-weight: bold; font-style: italic; }
code span.kw { color: #007020; font-weight: bold; }
code span.op { color: #666666; }
code span.ot { color: #007020; }
code span.pp { color: #bc7a00; }
code span.sc { color: #4070a0; }
code span.ss { color: #bb6688; }
code span.st { color: #4070a0; }
code span.va { color: #19177c; }
code span.vs { color: #4070a0; }
code span.wa { color: #60a0b0; font-weight: bold; font-style: italic; }
</style>
<script>
// apply pandoc div.sourceCode style to pre.sourceCode instead
(function() {
var sheets = document.styleSheets;
for (var i = 0; i < sheets.length; i++) {
if (sheets[i].ownerNode.dataset["origin"] !== "pandoc") continue;
try { var rules = sheets[i].cssRules; } catch (e) { continue; }
var j = 0;
while (j < rules.length) {
var rule = rules[j];
// check if there is a div.sourceCode rule
if (rule.type !== rule.STYLE_RULE || rule.selectorText !== "div.sourceCode") {
j++;
continue;
}
var style = rule.style.cssText;
// check if color or background-color is set
if (rule.style.color === '' && rule.style.backgroundColor === '') {
j++;
continue;
}
// replace div.sourceCode by a pre.sourceCode rule
sheets[i].deleteRule(j);
sheets[i].insertRule('pre.sourceCode{' + style + '}', j);
}
}
})();
</script>
<style type="text/css">body {
background-color: #fff;
margin: 1em auto;
max-width: 700px;
overflow: visible;
padding-left: 2em;
padding-right: 2em;
font-family: "Open Sans", "Helvetica Neue", Helvetica, Arial, sans-serif;
font-size: 14px;
line-height: 1.35;
}
#TOC {
clear: both;
margin: 0 0 10px 10px;
padding: 4px;
width: 400px;
border: 1px solid #CCCCCC;
border-radius: 5px;
background-color: #f6f6f6;
font-size: 13px;
line-height: 1.3;
}
#TOC .toctitle {
font-weight: bold;
font-size: 15px;
margin-left: 5px;
}
#TOC ul {
padding-left: 40px;
margin-left: -1.5em;
margin-top: 5px;
margin-bottom: 5px;
}
#TOC ul ul {
margin-left: -2em;
}
#TOC li {
line-height: 16px;
}
table {
margin: 1em auto;
border-width: 1px;
border-color: #DDDDDD;
border-style: outset;
border-collapse: collapse;
}
table th {
border-width: 2px;
padding: 5px;
border-style: inset;
}
table td {
border-width: 1px;
border-style: inset;
line-height: 18px;
padding: 5px 5px;
}
table, table th, table td {
border-left-style: none;
border-right-style: none;
}
table thead, table tr.even {
background-color: #f7f7f7;
}
p {
margin: 0.5em 0;
}
blockquote {
background-color: #f6f6f6;
padding: 0.25em 0.75em;
}
hr {
border-style: solid;
border: none;
border-top: 1px solid #777;
margin: 28px 0;
}
dl {
margin-left: 0;
}
dl dd {
margin-bottom: 13px;
margin-left: 13px;
}
dl dt {
font-weight: bold;
}
ul {
margin-top: 0;
}
ul li {
list-style: circle outside;
}
ul ul {
margin-bottom: 0;
}
pre, code {
background-color: #f7f7f7;
border-radius: 3px;
color: #333;
white-space: pre-wrap;
}
pre {
border-radius: 3px;
margin: 5px 0px 10px 0px;
padding: 10px;
}
pre:not([class]) {
background-color: #f7f7f7;
}
code {
font-family: Consolas, Monaco, 'Courier New', monospace;
font-size: 85%;
}
p > code, li > code {
padding: 2px 0px;
}
div.figure {
text-align: center;
}
img {
background-color: #FFFFFF;
padding: 2px;
border: 1px solid #DDDDDD;
border-radius: 3px;
border: 1px solid #CCCCCC;
margin: 0 5px;
}
h1 {
margin-top: 0;
font-size: 35px;
line-height: 40px;
}
h2 {
border-bottom: 4px solid #f7f7f7;
padding-top: 10px;
padding-bottom: 2px;
font-size: 145%;
}
h3 {
border-bottom: 2px solid #f7f7f7;
padding-top: 10px;
font-size: 120%;
}
h4 {
border-bottom: 1px solid #f7f7f7;
margin-left: 8px;
font-size: 105%;
}
h5, h6 {
border-bottom: 1px solid #ccc;
font-size: 105%;
}
a {
color: #0033dd;
text-decoration: none;
}
a:hover {
color: #6666ff; }
a:visited {
color: #800080; }
a:visited:hover {
color: #BB00BB; }
a[href^="http:"] {
text-decoration: underline; }
a[href^="https:"] {
text-decoration: underline; }
code > span.kw { color: #555; font-weight: bold; }
code > span.dt { color: #902000; }
code > span.dv { color: #40a070; }
code > span.bn { color: #d14; }
code > span.fl { color: #d14; }
code > span.ch { color: #d14; }
code > span.st { color: #d14; }
code > span.co { color: #888888; font-style: italic; }
code > span.ot { color: #007020; }
code > span.al { color: #ff0000; font-weight: bold; }
code > span.fu { color: #900; font-weight: bold; }
code > span.er { color: #a61717; background-color: #e3d2d2; }
</style>
</head>
<body>
<h1 class="title toc-ignore">Motivations for cpp11</h1>
<div id="motivations" class="section level1">
<h1>Motivations</h1>
<p>R and S have a long history of interacting with compiled languages.
In fact the original version of S written in the late 1970s was mainly a
wrapper around FORTRAN routines <a href="https://www.r-project.org/conferences/useR-2006/Slides/Chambers.pdf">(History-of-S)</a>.
Released in 2000, the <a href="https://cran.r-project.org/package=cxx">cxx</a> package was an
early prototype of C++ bindings to R. <a href="https://cran.r-project.org/package=Rcpp">Rcpp</a> was first
published to CRAN in 2008, and <a href="https://cran.r-project.org/package=Rcpp11">Rcpp11</a> in 2014. Of
these <code>Rcpp</code> has by far the widest adoption, with over 2000
reverse dependencies as of 2020.</p>
<p>Rcpp has been a widely successful project, however over the years a
number of issues and additional C++ features have arisen. Adding these
features to Rcpp would require a great deal of work, or in some cases
would be impossible without severely breaking backwards
compatibility.</p>
<p>cpp11 is a ground up rewrite of C++ bindings to R with different
design trade-offs and features.</p>
<p>Changes that motivated cpp11 include:</p>
<ul>
<li>Enforcing <a href="#copy-on-write-semantics">copy-on-write
semantics</a>.</li>
<li>Improving the <a href="#improve-safety">safety</a> of using the R
API from C++ code.</li>
<li>Supporting <a href="#altrep-support">ALTREP objects</a>.</li>
<li>Using <a href="#utf-8-everywhere">UTF-8 strings</a> everywhere.</li>
<li>Applying newer <a href="#c11-features">C++11 features</a>.</li>
<li>Having a more straightforward, <a href="#simpler-implementation">simpler implementation</a>.</li>
<li>Faster <a href="#compilation-speed">compilation time</a> with lower
memory requirements.</li>
<li>Being <em>completely</em> <a href="#header-only">header only</a> to
avoid ABI issues.</li>
<li>Capable of <a href="#vendoring">vendoring</a> if desired.</li>
<li>More robust <a href="#protection">protection</a> using a much more
efficient linked list data structure.</li>
<li><a href="#growing-vectors">Growing vectors</a> more
efficiently.</li>
</ul>
<div id="copy-on-write-semantics" class="section level2">
<h2>Copy-on-write semantics</h2>
<p>R uses <a href="https://adv-r.hadley.nz/names-values.html#copy-on-modify">copy-on-write</a>
(also called copy-on-modify) semantics. Lets say you have two variables
<code>x</code> and <code>y</code> that both point to the same underlying
data.</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">1</span>, <span class="dv">2</span>, <span class="dv">3</span>)</span>
<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a>y <span class="ot"><-</span> x</span></code></pre></div>
<p>If you modify <code>y</code>, R will first copy the values of
<code>x</code> to a new position, then point <code>y</code> to the new
location and only after the copy modify <code>y</code>. This allows
<code>x</code> to retain the original values.</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a>y[[<span class="dv">3</span>]] <span class="ot"><-</span> <span class="dv">4</span></span>
<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>y</span>
<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a><span class="co">#> [1] 1 2 4</span></span>
<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a></span>
<span id="cb2-5"><a href="#cb2-5" tabindex="-1"></a>x</span>
<span id="cb2-6"><a href="#cb2-6" tabindex="-1"></a><span class="co">#> [1] 1 2 3</span></span></code></pre></div>
<p>C++ does not have copy-on-write built into the language, however it
has related concepts, copy-by-value and copy-by-reference. Copy-by-value
works similarly to R, except that R only copies when something is
changed, C++ <em>always</em> copies.</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a><span class="dt">int</span> x <span class="op">=</span> <span class="dv">42</span><span class="op">;</span></span>
<span id="cb3-2"><a href="#cb3-2" tabindex="-1"></a><span class="dt">int</span> y <span class="op">=</span> x<span class="op">;</span></span>
<span id="cb3-3"><a href="#cb3-3" tabindex="-1"></a>y <span class="op">=</span> <span class="dv">0</span><span class="op">;</span></span>
<span id="cb3-4"><a href="#cb3-4" tabindex="-1"></a><span class="co">// x is still == 42</span></span></code></pre></div>
<p>Copy-by-reference does the opposite, both <code>x</code> and
<code>y</code> always point to the <em>same</em> underlying value. In
C++ you specify a reference with <code>&</code>.</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a><span class="dt">int</span> x <span class="op">=</span> <span class="dv">42</span><span class="op">;</span></span>
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a><span class="dt">int</span> <span class="op">&</span>y <span class="op">=</span> x<span class="op">;</span></span>
<span id="cb4-3"><a href="#cb4-3" tabindex="-1"></a>y <span class="op">=</span> <span class="dv">0</span><span class="op">;</span></span>
<span id="cb4-4"><a href="#cb4-4" tabindex="-1"></a><span class="co">// both x and y are now 0</span></span></code></pre></div>
<p>Copy-by-reference is a valuable technique, as it avoids the overhead
of copying the data. However it can also lead to errors when internal
functions change their inputs unexpectedly. Rcpp uses copy-by-reference
by default (even if you pass a Rcpp vector class by value). This gives
Rcpp functions completely different semantics from normal R
functions.</p>
<p>We can illustrate this by creating a Rcpp function that multiples its
input vector by 2.</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb5-1"><a href="#cb5-1" tabindex="-1"></a><span class="pp">#include </span><span class="im">"Rcpp.h"</span></span>
<span id="cb5-2"><a href="#cb5-2" tabindex="-1"></a><span class="kw">using</span> <span class="kw">namespace</span> Rcpp<span class="op">;</span></span>
<span id="cb5-3"><a href="#cb5-3" tabindex="-1"></a></span>
<span id="cb5-4"><a href="#cb5-4" tabindex="-1"></a><span class="co">// [[Rcpp::export]]</span></span>
<span id="cb5-5"><a href="#cb5-5" tabindex="-1"></a>NumericVector times_two_rcpp<span class="op">(</span>NumericVector x<span class="op">)</span> <span class="op">{</span></span>
<span id="cb5-6"><a href="#cb5-6" tabindex="-1"></a> <span class="cf">for</span> <span class="op">(</span><span class="dt">int</span> i <span class="op">=</span> <span class="dv">0</span><span class="op">;</span> i <span class="op"><</span> x<span class="op">.</span>size<span class="op">();</span> <span class="op">++</span>i<span class="op">)</span> <span class="op">{</span></span>
<span id="cb5-7"><a href="#cb5-7" tabindex="-1"></a> x<span class="op">[</span>i<span class="op">]</span> <span class="op">=</span> x<span class="op">[</span>i<span class="op">]</span> <span class="op">*</span> <span class="dv">2</span><span class="op">;</span></span>
<span id="cb5-8"><a href="#cb5-8" tabindex="-1"></a> <span class="op">}</span></span>
<span id="cb5-9"><a href="#cb5-9" tabindex="-1"></a> <span class="cf">return</span> x<span class="op">;</span></span>
<span id="cb5-10"><a href="#cb5-10" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
<p>If you do this with regular R functions, you will see the value of
<code>y</code> is <code>x</code> * 2, but the value of <code>x</code> is
unchanged.</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">1</span>, <span class="dv">2</span>, <span class="dv">3</span>)</span>
<span id="cb6-2"><a href="#cb6-2" tabindex="-1"></a>y <span class="ot"><-</span> x <span class="sc">*</span> <span class="dv">2</span></span>
<span id="cb6-3"><a href="#cb6-3" tabindex="-1"></a>y</span>
<span id="cb6-4"><a href="#cb6-4" tabindex="-1"></a><span class="co">#> [1] 2 4 6</span></span>
<span id="cb6-5"><a href="#cb6-5" tabindex="-1"></a></span>
<span id="cb6-6"><a href="#cb6-6" tabindex="-1"></a>x</span>
<span id="cb6-7"><a href="#cb6-7" tabindex="-1"></a><span class="co">#> [1] 1 2 3</span></span></code></pre></div>
<p>However if we now call our <code>times_two_rcpp()</code> function we
get the right output value, but now <code>x</code> is <em>also
changed</em>.</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" tabindex="-1"></a>z <span class="ot"><-</span> <span class="fu">times_two_rcpp</span>(x)</span>
<span id="cb7-2"><a href="#cb7-2" tabindex="-1"></a>z</span>
<span id="cb7-3"><a href="#cb7-3" tabindex="-1"></a><span class="co">#> [1] 2 4 6</span></span>
<span id="cb7-4"><a href="#cb7-4" tabindex="-1"></a></span>
<span id="cb7-5"><a href="#cb7-5" tabindex="-1"></a>x</span>
<span id="cb7-6"><a href="#cb7-6" tabindex="-1"></a><span class="co">#> [1] 2 4 6</span></span></code></pre></div>
<p>cpp11 strives to make its functions behave similarly to normal R
functions, while preserving the speed of Rcpp when read only access is
needed. Each of the r_vector classes in cpp11 has a normal <em>read
only</em> version that uses copy-by-reference, and a <em>writable</em>
version which uses copy-by-value.</p>
<div class="sourceCode" id="cb8"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb8-1"><a href="#cb8-1" tabindex="-1"></a><span class="pp">#include </span><span class="im">"cpp11/doubles.hpp"</span></span>
<span id="cb8-2"><a href="#cb8-2" tabindex="-1"></a></span>
<span id="cb8-3"><a href="#cb8-3" tabindex="-1"></a><span class="op">[[</span><span class="at">cpp11</span><span class="op">::</span><span class="at">register</span><span class="op">]]</span></span>
<span id="cb8-4"><a href="#cb8-4" tabindex="-1"></a>cpp11<span class="op">::</span>doubles times_two_cpp11<span class="op">(</span>cpp11<span class="op">::</span>writable<span class="op">::</span>doubles x<span class="op">)</span> <span class="op">{</span></span>
<span id="cb8-5"><a href="#cb8-5" tabindex="-1"></a> <span class="cf">for</span> <span class="op">(</span><span class="dt">int</span> i <span class="op">=</span> <span class="dv">0</span><span class="op">;</span> i <span class="op"><</span> x<span class="op">.</span>size<span class="op">();</span> <span class="op">++</span>i<span class="op">)</span> <span class="op">{</span></span>
<span id="cb8-6"><a href="#cb8-6" tabindex="-1"></a> x<span class="op">[</span>i<span class="op">]</span> <span class="op">=</span> x<span class="op">[</span>i<span class="op">]</span> <span class="op">*</span> <span class="dv">2</span><span class="op">;</span></span>
<span id="cb8-7"><a href="#cb8-7" tabindex="-1"></a> <span class="op">}</span></span>
<span id="cb8-8"><a href="#cb8-8" tabindex="-1"></a> <span class="cf">return</span> x<span class="op">;</span></span>
<span id="cb8-9"><a href="#cb8-9" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
<p>Using <code>cpp11::writable::doubles</code> first <em>copies</em> the
input vector, so when we do the multiplication we do not modify the
original data.</p>
<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">1</span>, <span class="dv">2</span>, <span class="dv">3</span>)</span>
<span id="cb9-2"><a href="#cb9-2" tabindex="-1"></a></span>
<span id="cb9-3"><a href="#cb9-3" tabindex="-1"></a>z <span class="ot"><-</span> <span class="fu">times_two_cpp11</span>(x)</span>
<span id="cb9-4"><a href="#cb9-4" tabindex="-1"></a>z</span>
<span id="cb9-5"><a href="#cb9-5" tabindex="-1"></a><span class="co">#> [1] 2 4 6</span></span>
<span id="cb9-6"><a href="#cb9-6" tabindex="-1"></a></span>
<span id="cb9-7"><a href="#cb9-7" tabindex="-1"></a>x</span>
<span id="cb9-8"><a href="#cb9-8" tabindex="-1"></a><span class="co">#> [1] 1 2 3</span></span></code></pre></div>
</div>
<div id="improve-safety" class="section level2">
<h2>Improve safety</h2>
<p>Internally R is written in C, not C++. In general C and C++ work well
together, a large part of C++’s success is due to its high
interoperability with C code. However one area in which C and C++ are
generally <em>not</em> interoperable is error handling. In C++ the most
common way to handle errors is with <a href="https://isocpp.org/wiki/faq/exceptions">exceptions</a>.</p>
<p>Exceptions provide a clean, safe way for objects to obtain and
cleanup resources automatically even when errors occur.</p>
<div id="c-safety" class="section level3">
<h3>C safety</h3>
<p>The C language does not have support for exceptions, so error
handling is done a variety of ways. These include error codes like <a href="https://en.cppreference.com/w/c/error/errno">errno</a>,
conditional statements, and in the R codebase the <a href="https://cplusplus.com/reference/csetjmp/longjmp/">longjmp</a>
function.</p>
<p><code>longjmp</code>, which stands for ‘long jump’ is a function that
allows you to transfer the control flow of a program to another location
elsewhere in the program. R uses long jumps extensively in its error
handling routines. If an R function is executing and an error occurs, a
long jump is called which ‘jumps’ the control flow into the error
handling code.</p>
<p>Crucially long jumps are <em>incompatible</em> with C++ <a href="https://isocpp.org/wiki/faq/dtors">destructors</a>. If a long jump
occurs the destructors of any active C++ objects are not run, and
therefore any resources (such as memory, file handles, etc.) managed by
those objects will cause a <a href="https://en.wikipedia.org/wiki/Resource_leak">resource
leak</a>.</p>
<p>For example, the following unsafe code would leak the memory
allocated in the C++ <code>std::vector</code> <code>x</code> when the R
API function <code>Rf_allocVector()</code> fails (since you can’t create
a vector of <code>-1</code> size).</p>
<div class="sourceCode" id="cb10"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb10-1"><a href="#cb10-1" tabindex="-1"></a><span class="bu">std::</span>vector<span class="op"><</span><span class="dt">double</span><span class="op">></span> x<span class="op">({</span><span class="fl">1.</span><span class="op">,</span> <span class="fl">2.</span><span class="op">,</span> <span class="fl">3.</span><span class="op">});</span></span>
<span id="cb10-2"><a href="#cb10-2" tabindex="-1"></a></span>
<span id="cb10-3"><a href="#cb10-3" tabindex="-1"></a>SEXP y <span class="op">=</span> PROTECT<span class="op">(</span>Rf_allocVector<span class="op">(</span>REALSXP<span class="op">,</span> <span class="op">-</span><span class="dv">1</span><span class="op">));</span></span></code></pre></div>
<p>cpp11 provides two mechanisms to make interfacing with Rs C API and
C++ code safer. <code>cpp11::unwind_protect()</code> takes a functional
object (a C++11 lamdba function or <code>std::function</code>) and
converts any C long jumps encountered to C++ exceptions. Now instead of
a C long jump happening when the <code>Rf_allocVector()</code> call
fails, a C++ exception occurs, which <em>does</em> trigger the
<code>std::vector</code> destructor, so that memory is automatically
released.</p>
<div class="sourceCode" id="cb11"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb11-1"><a href="#cb11-1" tabindex="-1"></a><span class="bu">std::</span>vector<span class="op"><</span><span class="dt">double</span><span class="op">></span> x<span class="op">({</span><span class="fl">1.</span><span class="op">,</span> <span class="fl">2.</span><span class="op">,</span> <span class="fl">3.</span><span class="op">});</span></span>
<span id="cb11-2"><a href="#cb11-2" tabindex="-1"></a></span>
<span id="cb11-3"><a href="#cb11-3" tabindex="-1"></a>SEXP y<span class="op">;</span></span>
<span id="cb11-4"><a href="#cb11-4" tabindex="-1"></a>unwind_protect<span class="op">([]()</span> <span class="op">{</span></span>
<span id="cb11-5"><a href="#cb11-5" tabindex="-1"></a> y <span class="op">=</span> Rf_allocVector<span class="op">(</span>REALSXP<span class="op">,</span> <span class="op">-</span><span class="dv">1</span><span class="op">);</span></span>
<span id="cb11-6"><a href="#cb11-6" tabindex="-1"></a><span class="op">})</span></span></code></pre></div>
<p><code>cpp11::safe()</code> is a more concise way to wrap a particular
R API function with <code>unwind_protect()</code>.</p>
<div class="sourceCode" id="cb12"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb12-1"><a href="#cb12-1" tabindex="-1"></a><span class="bu">std::</span>vector<span class="op"><</span><span class="dt">double</span><span class="op">></span> x<span class="op">({</span><span class="fl">1.</span><span class="op">,</span> <span class="fl">2.</span><span class="op">,</span> <span class="fl">3.</span><span class="op">});</span></span>
<span id="cb12-2"><a href="#cb12-2" tabindex="-1"></a></span>
<span id="cb12-3"><a href="#cb12-3" tabindex="-1"></a>SEXP y <span class="op">=</span> PROTECT<span class="op">(</span>safe<span class="op">[</span>Rf_allocVector<span class="op">](</span>REALSXP<span class="op">,</span> <span class="op">-</span><span class="dv">1</span><span class="op">));</span></span></code></pre></div>
<p>Again using <code>cpp11::safe()</code> converts the C long jump to a
C++ exception, so the memory is automatically released.</p>
<p>cpp11 uses these mechanisms extensively internally when calling the R
C API, which make cpp11 much safer against resource leaks than using
Rcpp or calling Rs C API by hand.</p>
</div>
<div id="c-safety-1" class="section level3">
<h3>C++ safety</h3>
<p>In the inverse of C safety we also need to ensure that C++ exceptions
do not reach the C call stack, as they will terminate R if that occurs.
Like Rcpp, cpp11 automatically generates <code>try / catch</code> guards
around registered functions to prevent this and also converts C++
exceptions into normal R errors. This is done without developer facing
code changes.</p>
<p>With both C and C++ sides of the coin covered we can safely use R’s C
API and C++ code together with C++ objects without leaking
resources.</p>
</div>
</div>
<div id="altrep-support" class="section level2">
<h2>Altrep support</h2>
<p><a href="https://svn.r-project.org/R/branches/ALTREP/ALTREP.html">ALTREP</a>
which stands for <strong>ALT</strong>ernative
<strong>REP</strong>resntations is a feature introduced in R 3.5. ALTREP
allows R internals and package authors to define alternative ways of
representing data to R. One example of the use of altrep is the
<code>:</code> operator.</p>
<p>Prior to R 3.5 <code>:</code> generated a full vector for the entire
sequence. e.g. <code>1:1000</code> would require 1000 individual values.
As of R 3.5 this sequence is instead represented by an ALTREP vector, so
<em>none</em> of the values actually exist in memory. Instead each time
R access a particular value in the sequence that value is computed
on-the-fly. This saves memory and excution time, and allows users to use
sequences which would otherwise be too big to fit in memory.</p>
<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1" tabindex="-1"></a><span class="dv">1</span><span class="sc">:</span><span class="fl">1e9</span></span>
<span id="cb13-2"><a href="#cb13-2" tabindex="-1"></a><span class="co">#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20</span></span>
<span id="cb13-3"><a href="#cb13-3" tabindex="-1"></a><span class="co">#> [ reached getOption("max.print") -- omitted 999999980 entries ]</span></span></code></pre></div>
<p>Because Rcpp predates the introduction of ALTREP, it does not support
the interfaces needed to access ALTREP objects. This means the objects
must be converted to normal R objects as soon as they are used by
Rcpp.</p>
<div class="sourceCode" id="cb14"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb14-1"><a href="#cb14-1" tabindex="-1"></a><span class="pp">#include </span><span class="im">"Rcpp.h"</span></span>
<span id="cb14-2"><a href="#cb14-2" tabindex="-1"></a></span>
<span id="cb14-3"><a href="#cb14-3" tabindex="-1"></a><span class="co">// [[Rcpp::export]]</span></span>
<span id="cb14-4"><a href="#cb14-4" tabindex="-1"></a>Rcpp<span class="op">::</span>IntegerVector identity_rcpp<span class="op">(</span>Rcpp<span class="op">::</span>IntegerVector x<span class="op">)</span> <span class="op">{</span></span>
<span id="cb14-5"><a href="#cb14-5" tabindex="-1"></a> <span class="cf">return</span> x<span class="op">;</span></span>
<span id="cb14-6"><a href="#cb14-6" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">identity_rcpp</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">100000</span>)</span>
<span id="cb15-2"><a href="#cb15-2" tabindex="-1"></a>lobstr<span class="sc">::</span><span class="fu">obj_size</span>(x)</span>
<span id="cb15-3"><a href="#cb15-3" tabindex="-1"></a><span class="co">#> 400.73 kB</span></span></code></pre></div>
<p>Whereas cpp11 objects preserve the ALTREP object.</p>
<div class="sourceCode" id="cb16"><pre class="sourceCode cpp"><code class="sourceCode cpp"><span id="cb16-1"><a href="#cb16-1" tabindex="-1"></a><span class="pp">#include </span><span class="im">"cpp11/integers.hpp"</span></span>
<span id="cb16-2"><a href="#cb16-2" tabindex="-1"></a></span>
<span id="cb16-3"><a href="#cb16-3" tabindex="-1"></a><span class="op">[[</span><span class="at">cpp11</span><span class="op">::</span><span class="at">register</span><span class="op">]]</span></span>
<span id="cb16-4"><a href="#cb16-4" tabindex="-1"></a>cpp11<span class="op">::</span>integers identity_cpp11<span class="op">(</span>cpp11<span class="op">::</span>integers x<span class="op">)</span> <span class="op">{</span></span>
<span id="cb16-5"><a href="#cb16-5" tabindex="-1"></a> <span class="cf">return</span> x<span class="op">;</span></span>
<span id="cb16-6"><a href="#cb16-6" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb17-1"><a href="#cb17-1" tabindex="-1"></a>y <span class="ot"><-</span> <span class="fu">identity_cpp11</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">100000</span>)</span>
<span id="cb17-2"><a href="#cb17-2" tabindex="-1"></a>lobstr<span class="sc">::</span><span class="fu">obj_size</span>(y)</span>
<span id="cb17-3"><a href="#cb17-3" tabindex="-1"></a><span class="co">#> 680 B</span></span></code></pre></div>
<div id="altrep-benchmarks" class="section level3">
<h3>Altrep benchmarks</h3>
<p>In these benchmarks note that Rcpp allocates memory for the ALTREP
vectors. This is because Rcpp implicitly converts them into normal R
vectors. cpp11 retains them as ALTREP vectors, so no additional memory
is needed.</p>
<p><code>foreach</code> and <code>accumulate</code> both use iterators
that take advantage of <code>REAL_GET_REGION</code> to buffer queries.
This makes them faster than naive C-style for loops with ALTREP
vectors.</p>
<p>The for2 case shows an optimization you can use if you know at
compile-time that you won’t be dealing with ALTREP vectors. By
specifying <code>false</code> to the second argument
(<code>is_altrep</code>), you can disable the ALTREP support. This
causes the ALTREP conditional code to be compiled out resulting in loop
unrolling (and speeds) identical to that generated by Rcpp.</p>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1" tabindex="-1"></a><span class="fu">library</span>(cpp11test)</span>
<span id="cb18-2"><a href="#cb18-2" tabindex="-1"></a></span>
<span id="cb18-3"><a href="#cb18-3" tabindex="-1"></a>cases <span class="ot"><-</span> <span class="fu">expand.grid</span>(</span>
<span id="cb18-4"><a href="#cb18-4" tabindex="-1"></a> <span class="at">len =</span> <span class="fl">3e6</span>,</span>
<span id="cb18-5"><a href="#cb18-5" tabindex="-1"></a> <span class="at">vector =</span> <span class="fu">c</span>(<span class="st">"normal"</span>, <span class="st">"altrep"</span>),</span>
<span id="cb18-6"><a href="#cb18-6" tabindex="-1"></a> <span class="at">method =</span> <span class="fu">c</span>(<span class="st">"for"</span>, <span class="st">"foreach"</span>, <span class="st">"accumulate"</span>),</span>
<span id="cb18-7"><a href="#cb18-7" tabindex="-1"></a> <span class="at">pkg =</span> <span class="fu">c</span>(<span class="st">"cpp11"</span>, <span class="st">"rcpp"</span>),</span>
<span id="cb18-8"><a href="#cb18-8" tabindex="-1"></a> <span class="at">stringsAsFactors =</span> <span class="cn">FALSE</span></span>
<span id="cb18-9"><a href="#cb18-9" tabindex="-1"></a>)</span>
<span id="cb18-10"><a href="#cb18-10" tabindex="-1"></a></span>
<span id="cb18-11"><a href="#cb18-11" tabindex="-1"></a><span class="co"># Add special case</span></span>
<span id="cb18-12"><a href="#cb18-12" tabindex="-1"></a>cases <span class="ot"><-</span> <span class="fu">rbind</span>(<span class="fu">list</span>(<span class="at">len =</span> <span class="fl">3e6</span>, <span class="at">vector =</span> <span class="st">"normal"</span>, <span class="at">method =</span> <span class="st">"for2"</span>, <span class="at">pkg =</span> <span class="st">"cpp11"</span>), cases)</span>
<span id="cb18-13"><a href="#cb18-13" tabindex="-1"></a></span>
<span id="cb18-14"><a href="#cb18-14" tabindex="-1"></a>b_sum <span class="ot"><-</span> bench<span class="sc">::</span><span class="fu">press</span>(</span>
<span id="cb18-15"><a href="#cb18-15" tabindex="-1"></a> <span class="at">.grid =</span> cases,</span>
<span id="cb18-16"><a href="#cb18-16" tabindex="-1"></a> {</span>
<span id="cb18-17"><a href="#cb18-17" tabindex="-1"></a> seq_real <span class="ot"><-</span> <span class="cf">function</span>(x) <span class="fu">as.numeric</span>(<span class="fu">seq_len</span>(x))</span>
<span id="cb18-18"><a href="#cb18-18" tabindex="-1"></a> funs <span class="ot"><-</span> <span class="fu">c</span>(<span class="st">"normal"</span> <span class="ot">=</span> rnorm, <span class="st">"altrep"</span> <span class="ot">=</span> seq_real)</span>
<span id="cb18-19"><a href="#cb18-19" tabindex="-1"></a> x <span class="ot"><-</span> funs[[vector]](len)</span>
<span id="cb18-20"><a href="#cb18-20" tabindex="-1"></a> fun <span class="ot"><-</span> <span class="fu">match.fun</span>(<span class="fu">sprintf</span>(<span class="st">"%ssum_dbl_%s_"</span>, <span class="fu">ifelse</span>(pkg <span class="sc">==</span> <span class="st">"cpp11"</span>, <span class="st">""</span>, <span class="fu">paste0</span>(pkg, <span class="st">"_"</span>)), method))</span>
<span id="cb18-21"><a href="#cb18-21" tabindex="-1"></a> bench<span class="sc">::</span><span class="fu">mark</span>(</span>
<span id="cb18-22"><a href="#cb18-22" tabindex="-1"></a> <span class="fu">fun</span>(x)</span>
<span id="cb18-23"><a href="#cb18-23" tabindex="-1"></a> )</span>
<span id="cb18-24"><a href="#cb18-24" tabindex="-1"></a> }</span>
<span id="cb18-25"><a href="#cb18-25" tabindex="-1"></a>)[<span class="fu">c</span>(<span class="st">"pkg"</span>, <span class="st">"method"</span>, <span class="st">"vector"</span>, <span class="st">"min"</span>, <span class="st">"median"</span>, <span class="st">"mem_alloc"</span>, <span class="st">"itr/sec"</span>, <span class="st">"n_gc"</span>)]</span>
<span id="cb18-26"><a href="#cb18-26" tabindex="-1"></a></span>
<span id="cb18-27"><a href="#cb18-27" tabindex="-1"></a><span class="fu">saveRDS</span>(b_sum, <span class="st">"sum.Rds"</span>, <span class="at">version =</span> <span class="dv">2</span>)</span></code></pre></div>
<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1" tabindex="-1"></a>knitr<span class="sc">::</span><span class="fu">kable</span>(<span class="fu">readRDS</span>(<span class="st">"sum.Rds"</span>))</span></code></pre></div>
<table>
<thead>
<tr class="header">
<th align="left">pkg</th>
<th align="left">method</th>
<th align="left">vector</th>
<th align="right">min</th>
<th align="right">median</th>
<th align="right">mem_alloc</th>
<th align="right">itr/sec</th>
<th align="right">n_gc</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">cpp11</td>
<td align="left">for2</td>
<td align="left">normal</td>
<td align="right">3.01ms</td>
<td align="right">3.21ms</td>
<td align="right">0B</td>
<td align="right">302.9364</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">cpp11</td>
<td align="left">for</td>
<td align="left">normal</td>
<td align="right">2.93ms</td>
<td align="right">3.09ms</td>
<td align="right">0B</td>
<td align="right">319.9100</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">cpp11</td>
<td align="left">for</td>
<td align="left">altrep</td>
<td align="right">8.09ms</td>
<td align="right">8.44ms</td>
<td align="right">0B</td>
<td align="right">117.0562</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">cpp11</td>
<td align="left">foreach</td>
<td align="left">normal</td>
<td align="right">2.97ms</td>
<td align="right">3.36ms</td>
<td align="right">0B</td>
<td align="right">292.8306</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">cpp11</td>
<td align="left">foreach</td>
<td align="left">altrep</td>
<td align="right">4.02ms</td>
<td align="right">4.18ms</td>
<td align="right">0B</td>
<td align="right">236.2339</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">cpp11</td>
<td align="left">accumulate</td>
<td align="left">normal</td>
<td align="right">3.03ms</td>
<td align="right">3.24ms</td>
<td align="right">0B</td>
<td align="right">303.3408</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">cpp11</td>
<td align="left">accumulate</td>
<td align="left">altrep</td>
<td align="right">4.07ms</td>
<td align="right">4.31ms</td>
<td align="right">0B</td>
<td align="right">225.8066</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">rcpp</td>
<td align="left">for</td>
<td align="left">normal</td>
<td align="right">2.81ms</td>
<td align="right">3.13ms</td>
<td align="right">0B</td>
<td align="right">311.3724</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">rcpp</td>
<td align="left">for</td>
<td align="left">altrep</td>
<td align="right">2.81ms</td>
<td align="right">3.13ms</td>
<td align="right">22.9MB</td>
<td align="right">311.6365</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">rcpp</td>
<td align="left">foreach</td>
<td align="left">normal</td>
<td align="right">2.93ms</td>
<td align="right">3.46ms</td>
<td align="right">0B</td>
<td align="right">293.9831</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">rcpp</td>
<td align="left">foreach</td>
<td align="left">altrep</td>
<td align="right">2.81ms</td>
<td align="right">3.07ms</td>
<td align="right">22.9MB</td>
<td align="right">313.6250</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">rcpp</td>
<td align="left">accumulate</td>
<td align="left">normal</td>
<td align="right">2.8ms</td>
<td align="right">3.01ms</td>
<td align="right">0B</td>
<td align="right">321.6647</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">rcpp</td>
<td align="left">accumulate</td>
<td align="left">altrep</td>
<td align="right">2.75ms</td>
<td align="right">3ms</td>
<td align="right">22.9MB</td>
<td align="right">322.9292</td>
<td align="right">0</td>
</tr>
</tbody>
</table>
<p><a href="https://github.com/r-lib/cpp11/blob/main/cpp11test/src/sum.cpp">cpp11test/src/sum.cpp</a>
contains the code ran in these benchmarks.</p>
</div>
</div>
<div id="utf-8-everywhere" class="section level2">
<h2>UTF-8 everywhere</h2>
<p>R has complicated support for Unicode strings and non-ASCII code
pages, whose behavior often differs substantially on different operating
systems, particularly Windows. Correctly dealing with this is
challenging and often feels like whack a mole.</p>
<p>To combat this complexity cpp11 uses the <a href="http://utf8everywhere.org/">UTF-8 everywhere</a> philosophy. This
means that whenever text data is converted from R data structures to C++
data structures by cpp11 the data is translated into UTF-8. Conversely
any text data coming from C++ code is assumed to be UTF-8 and marked as
such for R. Doing this universally avoids many locale specific issues
when dealing with Unicode text.</p>
<p>Concretely cpp11 always uses <code>Rf_translateCharUTF8()</code> when
obtaining <code>const char*</code> from <code>CHRSXP</code> objects and
uses <code>Rf_mkCharCE(, CE_UTF8)</code> when creating new
<code>CHRSXP</code> objects from <code>const char*</code> inputs.</p>
<!--TODO: unicode examples?-->
</div>
<div id="c11-features" class="section level2">
<h2>C++11 features</h2>
<p>C++11 provides a host of new features to the C++ language. cpp11 uses
a number of these including</p>
<ul>
<li><a href="https://en.cppreference.com/w/cpp/language/move_constructor">move
semantics</a></li>
<li><a href="https://en.cppreference.com/w/cpp/header/type_traits">type
traits</a></li>
<li><a href="https://en.cppreference.com/w/cpp/utility/initializer_list">initializer_list</a></li>
<li><a href="https://en.cppreference.com/w/cpp/language/parameter_pack">variadic
templates / parameter packs</a></li>
<li><a href="https://en.cppreference.com/w/cpp/language/user_literal">user
defined literals</a></li>
<li><a href="https://en.cppreference.com/w/cpp/language/attributes">user
defined attributes</a></li>
</ul>
</div>
<div id="simpler-implementation" class="section level2">
<h2>Simpler implementation</h2>
<p>Rcpp is very ambitious, with a number of advanced features, including
<a href="https://cran.r-project.org/package=Rcpp/vignettes/Rcpp-modules.pdf">modules</a>,
<a href="https://cran.r-project.org/package=Rcpp/vignettes/Rcpp-sugar.pdf">sugar</a>
and extensive support for <a href="https://CRAN.R-project.org/package=Rcpp/vignettes/Rcpp-attributes.pdf">attributes</a>.
While these are useful features, many R packages do not use one or any
of these advanced features. In addition the code needed to support these
features is complex and can be challenging to maintain.</p>
<p>cpp11 takes a more limited scope, providing only the set of r_vector
wrappers for R vector types, coercion methods to and from C++ and the
limited attributes necessary to support use in R packages.</p>
<p>This limited scope allows the implementation to be much simpler, the
headers in Rcpp 1.0.4 have 74,658 lines of code (excluding blank or
commented lines) in 379 files. Some headers in Rcpp are automatically
generated, removing these still gives you 25,249 lines of code in 357
files. In contrast the headers in cpp11 contain only 1,734 lines of code
in 19 files.</p>
<p>This reduction in complexity should make cpp11 an easier project to
maintain and ensure correctness, particularly around interactions with
the R garbage collector.</p>
<!--TODO: mention rchk compatibility here?-->
</div>
<div id="compilation-speed" class="section level2">
<h2>Compilation speed</h2>
<p>Rcpp always bundles all of its headers together, which causes slow
compilation times and high peak memory usage when compiling. The headers
in cpp11 are more easily decoupled, so you only can include only the
particular headers you actually use in a source file. This can
significantly improve the compilation speed and memory usage to compile
your package.</p>
<p>Here are some real examples of the reduction in compile time and peak
memory usage after converting packages to cpp11.</p>
<table style="width:100%;">
<colgroup>
<col width="14%" />
<col width="14%" />
<col width="14%" />
<col width="14%" />
<col width="14%" />
<col width="14%" />
<col width="14%" />
</colgroup>
<thead>
<tr class="header">
<th>package</th>
<th>Rcpp compile time</th>
<th>cpp11 compile time</th>
<th>Rcpp peak memory</th>
<th>cpp11 peak memory</th>
<th>Rcpp commit</th>
<th>cpp11 commit</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>haven</td>
<td>17.42s</td>
<td>7.13s</td>
<td>428MB</td>
<td>204MB</td>
<td><a href="https://github.com/tidyverse/haven/compare/a3cf75a4...978cb034">a3cf75a4</a></td>
<td><a href="https://github.com/tidyverse/haven/compare/a3cf75a4...978cb034">978cb034</a></td>
</tr>
<tr class="even">
<td>readr</td>
<td>124.13s</td>
<td>81.08s</td>
<td>969MB</td>
<td>684MB</td>
<td><a href="https://github.com/tidyverse/readr/compare/ec0d8989...aa89ff72">ec0d8989</a></td>
<td><a href="https://github.com/tidyverse/readr/compare/ec0d8989...aa89ff72">aa89ff72</a></td>
</tr>
<tr class="odd">
<td>roxygen2</td>
<td>17.34s</td>
<td>4.24s</td>
<td>371MB</td>
<td>109MB</td>
<td><a href="https://github.com/r-lib/roxygen2/compare/6f081b75...e8e1e22d">6f081b75</a></td>
<td><a href="https://github.com/r-lib/roxygen2/compare/6f081b75...e8e1e22d">e8e1e22d</a></td>
</tr>
<tr class="even">
<td>tidyr</td>
<td>14.25s</td>
<td>3.34s</td>
<td>363MB</td>
<td>83MB</td>
<td><a href="https://github.com/tidyverse/tidyr/compare/3899ed51...60f7c7d4">3899ed51</a></td>
<td><a href="https://github.com/tidyverse/tidyr/compare/3899ed51...60f7c7d4">60f7c7d4</a></td>
</tr>
</tbody>
</table>
</div>
<div id="header-only" class="section level2">
<h2>Header only</h2>
<p>Rcpp has long been a <em>mostly</em> <a href="https://en.wikipedia.org/wiki/Header-only">header only</a>
library, however is not a <em>completely</em> header only library. There
have been <a href="https://github.com/tidyverse/dplyr/issues/2308">cases</a> when a
package was first installed with version X of Rcpp, and then a newer
version of Rcpp was later installed. Then when the original package X
was loaded R would crash, because the <a href="https://en.wikipedia.org/wiki/Application_binary_interface">Application
Binary Interface</a> of Rcpp had changed between the two versions.</p>
<p>Because cpp11 consists of exclusively headers this issue does not
occur.</p>
</div>
<div id="vendoring" class="section level2">
<h2>Vendoring</h2>
<p>In the go community the concept of <a href="https://go.googlesource.com/proposal/+/master/design/25719-go15vendor.md">vendoring</a>
is widespread. Vendoring means that you copy the code for the
dependencies into your project’s source tree. This ensures the
dependency code is fixed and stable until it is updated. Because cpp11
is fully <a href="#header-only">header only</a> you can vendor the code
in the same way. <code>cpp11::vendor_cpp11()</code> is provided to do
this if you choose.</p>
<p>Vendoring has advantages and drawbacks however. The advantage is that
changes to the cpp11 project could never break your existing code. The
drawbacks are both minor, your package size is now slightly larger, and
major, you no longer get bugfixes and new features until you explicitly
update cpp11.</p>
<p>I think the majority of packages should use
<code>LinkingTo: cpp11</code> and <em>not</em> vendor the cpp11
dependency. However, vendoring can be appropriate for certain
situations.</p>
</div>
<div id="protection" class="section level2">
<h2>Protection</h2>
<p>cpp11 uses a custom double linked list data structure to track
objects it is managing. This structure is much more efficient for large
numbers of objects than using <code>R_PreserveObject()</code> /
<code>R_ReleaseObjects()</code> as is done in Rcpp.</p>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1" tabindex="-1"></a><span class="fu">library</span>(cpp11test)</span>
<span id="cb20-2"><a href="#cb20-2" tabindex="-1"></a>grid <span class="ot"><-</span> <span class="fu">expand.grid</span>(<span class="at">len =</span> <span class="fu">c</span>(<span class="dv">10</span> <span class="sc">^</span> (<span class="dv">2</span><span class="sc">:</span><span class="dv">5</span>), <span class="fl">2e5</span>), <span class="at">pkg =</span> <span class="fu">c</span>(<span class="st">"cpp11"</span>, <span class="st">"rcpp"</span>), <span class="at">stringsAsFactors =</span> <span class="cn">FALSE</span>)</span>
<span id="cb20-3"><a href="#cb20-3" tabindex="-1"></a>b_release <span class="ot"><-</span> bench<span class="sc">::</span><span class="fu">press</span>(<span class="at">.grid =</span> grid,</span>
<span id="cb20-4"><a href="#cb20-4" tabindex="-1"></a> {</span>
<span id="cb20-5"><a href="#cb20-5" tabindex="-1"></a> fun <span class="ot">=</span> <span class="fu">match.fun</span>(<span class="fu">sprintf</span>(<span class="st">"%s_release_"</span>, pkg))</span>
<span id="cb20-6"><a href="#cb20-6" tabindex="-1"></a> bench<span class="sc">::</span><span class="fu">mark</span>(</span>
<span id="cb20-7"><a href="#cb20-7" tabindex="-1"></a> <span class="fu">fun</span>(len),</span>
<span id="cb20-8"><a href="#cb20-8" tabindex="-1"></a> <span class="at">iterations =</span> <span class="dv">1</span></span>
<span id="cb20-9"><a href="#cb20-9" tabindex="-1"></a> )</span>
<span id="cb20-10"><a href="#cb20-10" tabindex="-1"></a> }</span>
<span id="cb20-11"><a href="#cb20-11" tabindex="-1"></a>)[<span class="fu">c</span>(<span class="st">"len"</span>, <span class="st">"pkg"</span>, <span class="st">"min"</span>)]</span>
<span id="cb20-12"><a href="#cb20-12" tabindex="-1"></a><span class="fu">saveRDS</span>(b_release, <span class="st">"release.Rds"</span>, <span class="at">version =</span> <span class="dv">2</span>)</span></code></pre></div>
<p><svg id="svg_8e126043a9fb69a10ad6b2dbb9991f7e01371ad4" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="216" height="216" viewBox="0 0 216 216">
<defs>
<g>
<g id="glyph-0-0">
<path d="M 0.28125 0 L 0.28125 -6.3125 L 5.296875 -6.3125 L 5.296875 0 Z M 4.5 -0.796875 L 4.5 -5.515625 L 1.078125 -5.515625 L 1.078125 -0.796875 Z M 4.5 -0.796875 "></path>
</g>
<g id="glyph-0-1">
<path d="M 2.375 -6.15625 C 3.175781 -6.15625 3.753906 -5.828125 4.109375 -5.171875 C 4.378906 -4.660156 4.515625 -3.960938 4.515625 -3.078125 C 4.515625 -2.242188 4.390625 -1.554688 4.140625 -1.015625 C 3.785156 -0.222656 3.195312 0.171875 2.375 0.171875 C 1.632812 0.171875 1.082031 -0.148438 0.71875 -0.796875 C 0.425781 -1.328125 0.28125 -2.046875 0.28125 -2.953125 C 0.28125 -3.648438 0.367188 -4.25 0.546875 -4.75 C 0.878906 -5.6875 1.488281 -6.15625 2.375 -6.15625 Z M 2.375 -0.53125 C 2.769531 -0.53125 3.085938 -0.707031 3.328125 -1.0625 C 3.566406 -1.425781 3.6875 -2.085938 3.6875 -3.046875 C 3.6875 -3.753906 3.597656 -4.332031 3.421875 -4.78125 C 3.253906 -5.226562 2.921875 -5.453125 2.421875 -5.453125 C 1.972656 -5.453125 1.640625 -5.238281 1.421875 -4.8125 C 1.210938 -4.382812 1.109375 -3.753906 1.109375 -2.921875 C 1.109375 -2.296875 1.175781 -1.789062 1.3125 -1.40625 C 1.519531 -0.820312 1.875 -0.53125 2.375 -0.53125 Z M 2.375 -0.53125 "></path>
</g>
<g id="glyph-0-2">
<path d="M 0.84375 -4.359375 L 0.84375 -4.953125 C 1.394531 -5.003906 1.78125 -5.09375 2 -5.21875 C 2.226562 -5.34375 2.394531 -5.644531 2.5 -6.125 L 3.109375 -6.125 L 3.109375 0 L 2.296875 0 L 2.296875 -4.359375 Z M 0.84375 -4.359375 "></path>
</g>
<g id="glyph-0-3">
<path d="M 1.859375 -4.59375 L 1.15625 -1.34375 C 1.144531 -1.289062 1.132812 -1.242188 1.125 -1.203125 C 1.125 -1.171875 1.125 -1.132812 1.125 -1.09375 C 1.125 -0.957031 1.15625 -0.847656 1.21875 -0.765625 C 1.3125 -0.617188 1.5 -0.546875 1.78125 -0.546875 C 2.195312 -0.546875 2.546875 -0.695312 2.828125 -1 C 3.117188 -1.3125 3.304688 -1.671875 3.390625 -2.078125 L 3.953125 -4.59375 L 4.734375 -4.59375 L 3.75 0 L 3 0 L 3.1875 -0.765625 C 3.125 -0.640625 2.988281 -0.492188 2.78125 -0.328125 C 2.425781 -0.0234375 2.035156 0.125 1.609375 0.125 C 1.472656 0.125 1.332031 0.0976562 1.1875 0.046875 C 1.050781 -0.00390625 0.953125 -0.0625 0.890625 -0.125 L 0.46875 1.8125 L -0.328125 1.8125 L 1.0625 -4.59375 Z M 1.859375 -4.59375 "></path>
</g>
<g id="glyph-0-4">
<path d="M 1.03125 -1.4375 C 1.050781 -1.1875 1.113281 -0.988281 1.21875 -0.84375 C 1.414062 -0.601562 1.753906 -0.484375 2.234375 -0.484375 C 2.515625 -0.484375 2.765625 -0.539062 2.984375 -0.65625 C 3.203125 -0.78125 3.3125 -0.972656 3.3125 -1.234375 C 3.3125 -1.429688 3.222656 -1.582031 3.046875 -1.6875 C 2.941406 -1.75 2.722656 -1.820312 2.390625 -1.90625 L 1.78125 -2.0625 C 1.382812 -2.164062 1.09375 -2.273438 0.90625 -2.390625 C 0.570312 -2.597656 0.40625 -2.890625 0.40625 -3.265625 C 0.40625 -3.691406 0.5625 -4.039062 0.875 -4.3125 C 1.195312 -4.582031 1.617188 -4.71875 2.140625 -4.71875 C 2.835938 -4.71875 3.335938 -4.515625 3.640625 -4.109375 C 3.835938 -3.847656 3.929688 -3.570312 3.921875 -3.28125 L 3.203125 -3.28125 C 3.179688 -3.457031 3.117188 -3.613281 3.015625 -3.75 C 2.835938 -3.957031 2.53125 -4.0625 2.09375 -4.0625 C 1.800781 -4.0625 1.578125 -4.003906 1.421875 -3.890625 C 1.273438 -3.773438 1.203125 -3.628906 1.203125 -3.453125 C 1.203125 -3.253906 1.300781 -3.09375 1.5 -2.96875 C 1.613281 -2.894531 1.78125 -2.832031 2 -2.78125 L 2.515625 -2.65625 C 3.066406 -2.519531 3.4375 -2.390625 3.625 -2.265625 C 3.925781 -2.066406 4.078125 -1.753906 4.078125 -1.328125 C 4.078125 -0.921875 3.921875 -0.566406 3.609375 -0.265625 C 3.304688 0.0234375 2.832031 0.171875 2.1875 0.171875 C 1.507812 0.171875 1.023438 0.0195312 0.734375 -0.28125 C 0.453125 -0.59375 0.300781 -0.976562 0.28125 -1.4375 Z M 2.171875 -4.71875 Z M 2.171875 -4.71875 "></path>
</g>
<g id="glyph-0-5">
<path d="M 0.28125 0 C 0.300781 -0.53125 0.40625 -0.988281 0.59375 -1.375 C 0.789062 -1.769531 1.164062 -2.128906 1.71875 -2.453125 L 2.546875 -2.921875 C 2.910156 -3.140625 3.164062 -3.328125 3.3125 -3.484375 C 3.550781 -3.710938 3.671875 -3.984375 3.671875 -4.296875 C 3.671875 -4.648438 3.5625 -4.929688 3.34375 -5.140625 C 3.132812 -5.359375 2.847656 -5.46875 2.484375 -5.46875 C 1.960938 -5.46875 1.597656 -5.265625 1.390625 -4.859375 C 1.285156 -4.648438 1.226562 -4.351562 1.21875 -3.96875 L 0.421875 -3.96875 C 0.429688 -4.5 0.53125 -4.9375 0.71875 -5.28125 C 1.050781 -5.875 1.644531 -6.171875 2.5 -6.171875 C 3.195312 -6.171875 3.707031 -5.976562 4.03125 -5.59375 C 4.363281 -5.21875 4.53125 -4.796875 4.53125 -4.328125 C 4.53125 -3.835938 4.351562 -3.414062 4 -3.0625 C 3.800781 -2.863281 3.441406 -2.617188 2.921875 -2.328125 L 2.34375 -2 C 2.0625 -1.84375 1.835938 -1.695312 1.671875 -1.5625 C 1.390625 -1.3125 1.210938 -1.035156 1.140625 -0.734375 L 4.5 -0.734375 L 4.5 0 Z M 0.28125 0 "></path>
</g>
<g id="glyph-0-6">
<path d="M 2.28125 0.171875 C 1.550781 0.171875 1.019531 -0.0234375 0.6875 -0.421875 C 0.363281 -0.828125 0.203125 -1.316406 0.203125 -1.890625 L 1.015625 -1.890625 C 1.046875 -1.492188 1.117188 -1.203125 1.234375 -1.015625 C 1.441406 -0.691406 1.804688 -0.53125 2.328125 -0.53125 C 2.734375 -0.53125 3.054688 -0.640625 3.296875 -0.859375 C 3.546875 -1.078125 3.671875 -1.359375 3.671875 -1.703125 C 3.671875 -2.128906 3.539062 -2.425781 3.28125 -2.59375 C 3.03125 -2.757812 2.671875 -2.84375 2.203125 -2.84375 C 2.148438 -2.84375 2.097656 -2.84375 2.046875 -2.84375 C 1.992188 -2.84375 1.941406 -2.84375 1.890625 -2.84375 L 1.890625 -3.515625 C 1.972656 -3.515625 2.039062 -3.507812 2.09375 -3.5 C 2.144531 -3.5 2.203125 -3.5 2.265625 -3.5 C 2.554688 -3.5 2.796875 -3.546875 2.984375 -3.640625 C 3.304688 -3.796875 3.46875 -4.082031 3.46875 -4.5 C 3.46875 -4.800781 3.359375 -5.035156 3.140625 -5.203125 C 2.921875 -5.367188 2.671875 -5.453125 2.390625 -5.453125 C 1.867188 -5.453125 1.507812 -5.28125 1.3125 -4.9375 C 1.207031 -4.75 1.144531 -4.476562 1.125 -4.125 L 0.359375 -4.125 C 0.359375 -4.582031 0.453125 -4.972656 0.640625 -5.296875 C 0.953125 -5.867188 1.503906 -6.15625 2.296875 -6.15625 C 2.929688 -6.15625 3.421875 -6.015625 3.765625 -5.734375 C 4.109375 -5.460938 4.28125 -5.0625 4.28125 -4.53125 C 4.28125 -4.144531 4.175781 -3.835938 3.96875 -3.609375 C 3.84375 -3.460938 3.679688 -3.347656 3.484375 -3.265625 C 3.804688 -3.171875 4.054688 -3 4.234375 -2.75 C 4.421875 -2.5 4.515625 -2.191406 4.515625 -1.828125 C 4.515625 -1.234375 4.316406 -0.75 3.921875 -0.375 C 3.535156 -0.0078125 2.988281 0.171875 2.28125 0.171875 Z M 2.28125 0.171875 "></path>
</g>
<g id="glyph-0-7">
<path d="M 2.90625 -2.171875 L 2.90625 -4.96875 L 0.9375 -2.171875 Z M 2.921875 0 L 2.921875 -1.5 L 0.21875 -1.5 L 0.21875 -2.265625 L 3.046875 -6.171875 L 3.6875 -6.171875 L 3.6875 -2.171875 L 4.59375 -2.171875 L 4.59375 -1.5 L 3.6875 -1.5 L 3.6875 0 Z M 2.921875 0 "></path>
</g>
<g id="glyph-0-8">
<path d="M 1.09375 -1.5625 C 1.132812 -1.125 1.335938 -0.820312 1.703125 -0.65625 C 1.878906 -0.570312 2.09375 -0.53125 2.34375 -0.53125 C 2.800781 -0.53125 3.140625 -0.675781 3.359375 -0.96875 C 3.578125 -1.257812 3.6875 -1.582031 3.6875 -1.9375 C 3.6875 -2.363281 3.554688 -2.691406 3.296875 -2.921875 C 3.035156 -3.160156 2.71875 -3.28125 2.34375 -3.28125 C 2.082031 -3.28125 1.851562 -3.226562 1.65625 -3.125 C 1.46875 -3.019531 1.304688 -2.878906 1.171875 -2.703125 L 0.5 -2.734375 L 0.96875 -6.046875 L 4.171875 -6.046875 L 4.171875 -5.296875 L 1.5625 -5.296875 L 1.296875 -3.59375 C 1.429688 -3.695312 1.566406 -3.773438 1.703125 -3.828125 C 1.929688 -3.929688 2.195312 -3.984375 2.5 -3.984375 C 3.0625 -3.984375 3.535156 -3.800781 3.921875 -3.4375 C 4.316406 -3.070312 4.515625 -2.609375 4.515625 -2.046875 C 4.515625 -1.460938 4.332031 -0.945312 3.96875 -0.5 C 3.613281 -0.0625 3.046875 0.15625 2.265625 0.15625 C 1.753906 0.15625 1.304688 0.015625 0.921875 -0.265625 C 0.546875 -0.546875 0.332031 -0.976562 0.28125 -1.5625 Z M 1.09375 -1.5625 "></path>
</g>
<g id="glyph-0-9">
<path d="M 0.734375 0.890625 C 0.929688 0.859375 1.066406 0.722656 1.140625 0.484375 C 1.191406 0.347656 1.21875 0.222656 1.21875 0.109375 C 1.21875 0.0859375 1.210938 0.0664062 1.203125 0.046875 C 1.203125 0.0351562 1.203125 0.0195312 1.203125 0 L 0.734375 0 L 0.734375 -0.9375 L 1.65625 -0.9375 L 1.65625 -0.0625 C 1.65625 0.269531 1.582031 0.566406 1.4375 0.828125 C 1.300781 1.085938 1.066406 1.25 0.734375 1.3125 Z M 0.734375 0.890625 "></path>
</g>
<g id="glyph-0-10">
<path d="M 2.34375 -4.734375 C 2.863281 -4.734375 3.285156 -4.609375 3.609375 -4.359375 C 3.929688 -4.109375 4.125 -3.671875 4.1875 -3.046875 L 3.4375 -3.046875 C 3.394531 -3.335938 3.289062 -3.578125 3.125 -3.765625 C 2.957031 -3.953125 2.695312 -4.046875 2.34375 -4.046875 C 1.851562 -4.046875 1.5 -3.800781 1.28125 -3.3125 C 1.144531 -3.007812 1.078125 -2.628906 1.078125 -2.171875 C 1.078125 -1.703125 1.171875 -1.3125 1.359375 -1 C 1.554688 -0.6875 1.867188 -0.53125 2.296875 -0.53125 C 2.609375 -0.53125 2.859375 -0.625 3.046875 -0.8125 C 3.234375 -1.007812 3.363281 -1.28125 3.4375 -1.625 L 4.1875 -1.625 C 4.101562 -1.019531 3.890625 -0.570312 3.546875 -0.28125 C 3.203125 0 2.765625 0.140625 2.234375 0.140625 C 1.628906 0.140625 1.144531 -0.078125 0.78125 -0.515625 C 0.425781 -0.960938 0.25 -1.515625 0.25 -2.171875 C 0.25 -2.984375 0.445312 -3.613281 0.84375 -4.0625 C 1.238281 -4.507812 1.738281 -4.734375 2.34375 -4.734375 Z M 2.21875 -4.71875 Z M 2.21875 -4.71875 "></path>
</g>
<g id="glyph-0-11">
<path d="M 2.515625 -0.515625 C 2.867188 -0.515625 3.164062 -0.664062 3.40625 -0.96875 C 3.644531 -1.269531 3.765625 -1.722656 3.765625 -2.328125 C 3.765625 -2.691406 3.710938 -3.003906 3.609375 -3.265625 C 3.410156 -3.773438 3.046875 -4.03125 2.515625 -4.03125 C 1.972656 -4.03125 1.601562 -3.765625 1.40625 -3.234375 C 1.300781 -2.941406 1.25 -2.578125 1.25 -2.140625 C 1.25 -1.785156 1.300781 -1.484375 1.40625 -1.234375 C 1.601562 -0.753906 1.972656 -0.515625 2.515625 -0.515625 Z M 0.5 -4.578125 L 1.265625 -4.578125 L 1.265625 -3.96875 C 1.410156 -4.175781 1.578125 -4.335938 1.765625 -4.453125 C 2.023438 -4.628906 2.332031 -4.71875 2.6875 -4.71875 C 3.207031 -4.71875 3.648438 -4.515625 4.015625 -4.109375 C 4.378906 -3.710938 4.5625 -3.144531 4.5625 -2.40625 C 4.5625 -1.394531 4.296875 -0.675781 3.765625 -0.25 C 3.429688 0.0195312 3.046875 0.15625 2.609375 0.15625 C 2.265625 0.15625 1.972656 0.078125 1.734375 -0.078125 C 1.597656 -0.160156 1.445312 -0.304688 1.28125 -0.515625 L 1.28125 1.828125 L 0.5 1.828125 Z M 0.5 -4.578125 "></path>
</g>
<g id="glyph-0-12">
<path d="M 0.59375 -4.59375 L 1.328125 -4.59375 L 1.328125 -3.8125 C 1.378906 -3.957031 1.523438 -4.140625 1.765625 -4.359375 C 2.003906 -4.585938 2.273438 -4.703125 2.578125 -4.703125 C 2.585938 -4.703125 2.609375 -4.695312 2.640625 -4.6875 C 2.679688 -4.6875 2.742188 -4.6875 2.828125 -4.6875 L 2.828125 -3.859375 C 2.773438 -3.867188 2.726562 -3.875 2.6875 -3.875 C 2.65625 -3.882812 2.617188 -3.890625 2.578125 -3.890625 C 2.179688 -3.890625 1.878906 -3.765625 1.671875 -3.515625 C 1.460938 -3.265625 1.359375 -2.972656 1.359375 -2.640625 L 1.359375 0 L 0.59375 0 Z M 0.59375 -4.59375 "></path>
</g>
<g id="glyph-1-0">
<path d="M 0.359375 0 L 0.359375 -7.890625 L 6.625 -7.890625 L 6.625 0 Z M 5.625 -0.984375 L 5.625 -6.90625 L 1.34375 -6.90625 L 1.34375 -0.984375 Z M 5.625 -0.984375 "></path>
</g>
<g id="glyph-1-1">
<path d="M 0.84375 -7.890625 L 2.09375 -7.890625 L 6.078125 -1.5 L 6.078125 -7.890625 L 7.09375 -7.890625 L 7.09375 0 L 5.90625 0 L 1.859375 -6.390625 L 1.859375 0 L 0.84375 0 Z M 3.90625 -7.890625 Z M 3.90625 -7.890625 "></path>
</g>
<g id="glyph-1-2">
<path d="M 1.671875 -5.75 L 1.671875 -1.9375 C 1.671875 -1.644531 1.71875 -1.40625 1.8125 -1.21875 C 1.988281 -0.875 2.3125 -0.703125 2.78125 -0.703125 C 3.445312 -0.703125 3.90625 -1 4.15625 -1.59375 C 4.28125 -1.914062 4.34375 -2.359375 4.34375 -2.921875 L 4.34375 -5.75 L 5.3125 -5.75 L 5.3125 0 L 4.40625 0 L 4.421875 -0.84375 C 4.296875 -0.625 4.140625 -0.441406 3.953125 -0.296875 C 3.578125 0.00390625 3.128906 0.15625 2.609375 0.15625 C 1.785156 0.15625 1.222656 -0.117188 0.921875 -0.671875 C 0.765625 -0.960938 0.6875 -1.351562 0.6875 -1.84375 L 0.6875 -5.75 Z M 3 -5.890625 Z M 3 -5.890625 "></path>
</g>
<g id="glyph-1-3">
<path d="M 0.703125 -5.75 L 1.671875 -5.75 L 1.671875 -4.9375 C 1.898438 -5.21875 2.101562 -5.421875 2.28125 -5.546875 C 2.601562 -5.765625 2.96875 -5.875 3.375 -5.875 C 3.832031 -5.875 4.203125 -5.765625 4.484375 -5.546875 C 4.640625 -5.410156 4.78125 -5.21875 4.90625 -4.96875 C 5.125 -5.28125 5.378906 -5.507812 5.671875 -5.65625 C 5.960938 -5.800781 6.285156 -5.875 6.640625 -5.875 C 7.410156 -5.875 7.9375 -5.597656 8.21875 -5.046875 C 8.375 -4.742188 8.453125 -4.335938 8.453125 -3.828125 L 8.453125 0 L 7.4375 0 L 7.4375 -4 C 7.4375 -4.382812 7.34375 -4.644531 7.15625 -4.78125 C 6.96875 -4.925781 6.734375 -5 6.453125 -5 C 6.078125 -5 5.75 -4.867188 5.46875 -4.609375 C 5.195312 -4.359375 5.0625 -3.9375 5.0625 -3.34375 L 5.0625 0 L 4.078125 0 L 4.078125 -3.75 C 4.078125 -4.144531 4.03125 -4.429688 3.9375 -4.609375 C 3.789062 -4.878906 3.519531 -5.015625 3.125 -5.015625 C 2.757812 -5.015625 2.425781 -4.867188 2.125 -4.578125 C 1.820312 -4.296875 1.671875 -3.785156 1.671875 -3.046875 L 1.671875 0 L 0.703125 0 Z M 0.703125 -5.75 "></path>
</g>
<g id="glyph-1-4">
<path d="M 0.640625 -7.921875 L 1.578125 -7.921875 L 1.578125 -5.046875 C 1.785156 -5.328125 2.035156 -5.539062 2.328125 -5.6875 C 2.617188 -5.832031 2.9375 -5.90625 3.28125 -5.90625 C 4 -5.90625 4.582031 -5.65625 5.03125 -5.15625 C 5.476562 -4.664062 5.703125 -3.941406 5.703125 -2.984375 C 5.703125 -2.078125 5.476562 -1.320312 5.03125 -0.71875 C 4.59375 -0.113281 3.984375 0.1875 3.203125 0.1875 C 2.765625 0.1875 2.394531 0.078125 2.09375 -0.140625 C 1.914062 -0.265625 1.726562 -0.460938 1.53125 -0.734375 L 1.53125 0 L 0.640625 0 Z M 3.140625 -0.671875 C 3.671875 -0.671875 4.0625 -0.878906 4.3125 -1.296875 C 4.570312 -1.710938 4.703125 -2.257812 4.703125 -2.9375 C 4.703125 -3.539062 4.570312 -4.039062 4.3125 -4.4375 C 4.0625 -4.832031 3.679688 -5.03125 3.171875 -5.03125 C 2.734375 -5.03125 2.347656 -4.867188 2.015625 -4.546875 C 1.679688 -4.222656 1.515625 -3.6875 1.515625 -2.9375 C 1.515625 -2.394531 1.582031 -1.957031 1.71875 -1.625 C 1.976562 -0.988281 2.453125 -0.671875 3.140625 -0.671875 Z M 3.140625 -0.671875 "></path>
</g>
<g id="glyph-1-5">
<path d="M 3.109375 -5.875 C 3.515625 -5.875 3.90625 -5.78125 4.28125 -5.59375 C 4.664062 -5.40625 4.960938 -5.15625 5.171875 -4.84375 C 5.359375 -4.5625 5.484375 -4.222656 5.546875 -3.828125 C 5.609375 -3.566406 5.640625 -3.144531 5.640625 -2.5625 L 1.421875 -2.5625 C 1.441406 -1.976562 1.578125 -1.507812 1.828125 -1.15625 C 2.085938 -0.8125 2.488281 -0.640625 3.03125 -0.640625 C 3.539062 -0.640625 3.945312 -0.804688 4.25 -1.140625 C 4.414062 -1.328125 4.535156 -1.550781 4.609375 -1.8125 L 5.5625 -1.8125 C 5.53125 -1.59375 5.441406 -1.351562 5.296875 -1.09375 C 5.160156 -0.832031 5.003906 -0.625 4.828125 -0.46875 C 4.535156 -0.175781 4.175781 0.0195312 3.75 0.125 C 3.507812 0.175781 3.242188 0.203125 2.953125 0.203125 C 2.234375 0.203125 1.625 -0.0546875 1.125 -0.578125 C 0.632812 -1.097656 0.390625 -1.828125 0.390625 -2.765625 C 0.390625 -3.691406 0.640625 -4.441406 1.140625 -5.015625 C 1.640625 -5.585938 2.296875 -5.875 3.109375 -5.875 Z M 4.640625 -3.328125 C 4.609375 -3.753906 4.519531 -4.09375 4.375 -4.34375 C 4.101562 -4.800781 3.660156 -5.03125 3.046875 -5.03125 C 2.597656 -5.03125 2.222656 -4.867188 1.921875 -4.546875 C 1.628906 -4.234375 1.472656 -3.828125 1.453125 -3.328125 Z M 3.015625 -5.890625 Z M 3.015625 -5.890625 "></path>
</g>
<g id="glyph-1-6">
<path d="M 0.734375 -5.75 L 1.65625 -5.75 L 1.65625 -4.765625 C 1.726562 -4.953125 1.910156 -5.179688 2.203125 -5.453125 C 2.492188 -5.734375 2.832031 -5.875 3.21875 -5.875 C 3.238281 -5.875 3.269531 -5.875 3.3125 -5.875 C 3.351562 -5.875 3.425781 -5.867188 3.53125 -5.859375 L 3.53125 -4.828125 C 3.476562 -4.835938 3.425781 -4.84375 3.375 -4.84375 C 3.320312 -4.851562 3.269531 -4.859375 3.21875 -4.859375 C 2.726562 -4.859375 2.351562 -4.703125 2.09375 -4.390625 C 1.832031 -4.078125 1.703125 -3.71875 1.703125 -3.3125 L 1.703125 0 L 0.734375 0 Z M 0.734375 -5.75 "></path>
</g>
<g id="glyph-1-7">
</g>
<g id="glyph-1-8">
<path d="M 2.984375 -0.625 C 3.628906 -0.625 4.070312 -0.863281 4.3125 -1.34375 C 4.550781 -1.832031 4.671875 -2.375 4.671875 -2.96875 C 4.671875 -3.507812 4.582031 -3.945312 4.40625 -4.28125 C 4.132812 -4.8125 3.664062 -5.078125 3 -5.078125 C 2.40625 -5.078125 1.972656 -4.847656 1.703125 -4.390625 C 1.441406 -3.941406 1.3125 -3.398438 1.3125 -2.765625 C 1.3125 -2.148438 1.441406 -1.640625 1.703125 -1.234375 C 1.972656 -0.828125 2.398438 -0.625 2.984375 -0.625 Z M 3.03125 -5.921875 C 3.769531 -5.921875 4.394531 -5.671875 4.90625 -5.171875 C 5.414062 -4.679688 5.671875 -3.957031 5.671875 -3 C 5.671875 -2.070312 5.445312 -1.304688 5 -0.703125 C 4.550781 -0.0976562 3.851562 0.203125 2.90625 0.203125 C 2.113281 0.203125 1.484375 -0.0625 1.015625 -0.59375 C 0.546875 -1.125 0.3125 -1.84375 0.3125 -2.75 C 0.3125 -3.71875 0.554688 -4.488281 1.046875 -5.0625 C 1.535156 -5.632812 2.195312 -5.921875 3.03125 -5.921875 Z M 3 -5.890625 Z M 3 -5.890625 "></path>
</g>
<g id="glyph-1-9">
<path d="M 0.953125 -6.625 C 0.960938 -7.03125 1.03125 -7.328125 1.15625 -7.515625 C 1.382812 -7.835938 1.820312 -8 2.46875 -8 C 2.53125 -8 2.59375 -8 2.65625 -8 C 2.71875 -8 2.789062 -7.992188 2.875 -7.984375 L 2.875 -7.09375 C 2.769531 -7.101562 2.695312 -7.109375 2.65625 -7.109375 C 2.613281 -7.109375 2.570312 -7.109375 2.53125 -7.109375 C 2.238281 -7.109375 2.0625 -7.03125 2 -6.875 C 1.945312 -6.726562 1.921875 -6.34375 1.921875 -5.71875 L 2.875 -5.71875 L 2.875 -4.96875 L 1.90625 -4.96875 L 1.90625 0 L 0.953125 0 L 0.953125 -4.96875 L 0.15625 -4.96875 L 0.15625 -5.71875 L 0.953125 -5.71875 Z M 0.953125 -6.625 "></path>
</g>
<g id="glyph-1-10">
<path d="M 3.140625 -0.65625 C 3.585938 -0.65625 3.957031 -0.84375 4.25 -1.21875 C 4.550781 -1.59375 4.703125 -2.15625 4.703125 -2.90625 C 4.703125 -3.363281 4.640625 -3.757812 4.515625 -4.09375 C 4.265625 -4.726562 3.804688 -5.046875 3.140625 -5.046875 C 2.460938 -5.046875 2.003906 -4.710938 1.765625 -4.046875 C 1.628906 -3.679688 1.5625 -3.222656 1.5625 -2.671875 C 1.5625 -2.234375 1.628906 -1.859375 1.765625 -1.546875 C 2.015625 -0.953125 2.472656 -0.65625 3.140625 -0.65625 Z M 0.640625 -5.71875 L 1.578125 -5.71875 L 1.578125 -4.96875 C 1.765625 -5.226562 1.972656 -5.425781 2.203125 -5.5625 C 2.535156 -5.78125 2.921875 -5.890625 3.359375 -5.890625 C 4.003906 -5.890625 4.554688 -5.640625 5.015625 -5.140625 C 5.472656 -4.640625 5.703125 -3.925781 5.703125 -3 C 5.703125 -1.75 5.375 -0.851562 4.71875 -0.3125 C 4.300781 0.0195312 3.816406 0.1875 3.265625 0.1875 C 2.828125 0.1875 2.460938 0.09375 2.171875 -0.09375 C 2.003906 -0.195312 1.8125 -0.378906 1.59375 -0.640625 L 1.59375 2.296875 L 0.640625 2.296875 Z M 0.640625 -5.71875 "></path>
</g>
<g id="glyph-1-11">
<path d="M 0.90625 -7.359375 L 1.875 -7.359375 L 1.875 -5.75 L 2.796875 -5.75 L 2.796875 -4.96875 L 1.875 -4.96875 L 1.875 -1.203125 C 1.875 -1.003906 1.941406 -0.875 2.078125 -0.8125 C 2.160156 -0.769531 2.285156 -0.75 2.453125 -0.75 C 2.503906 -0.75 2.554688 -0.75 2.609375 -0.75 C 2.660156 -0.75 2.722656 -0.753906 2.796875 -0.765625 L 2.796875 0 C 2.679688 0.03125 2.5625 0.0507812 2.4375 0.0625 C 2.320312 0.0820312 2.195312 0.09375 2.0625 0.09375 C 1.613281 0.09375 1.304688 -0.0195312 1.140625 -0.25 C 0.984375 -0.488281 0.90625 -0.789062 0.90625 -1.15625 L 0.90625 -4.96875 L 0.125 -4.96875 L 0.125 -5.75 L 0.90625 -5.75 Z M 0.90625 -7.359375 "></path>
</g>
<g id="glyph-1-12">
<path d="M 2.921875 -5.921875 C 3.578125 -5.921875 4.109375 -5.757812 4.515625 -5.4375 C 4.921875 -5.125 5.164062 -4.582031 5.25 -3.8125 L 4.296875 -3.8125 C 4.242188 -4.164062 4.113281 -4.457031 3.90625 -4.6875 C 3.707031 -4.925781 3.378906 -5.046875 2.921875 -5.046875 C 2.304688 -5.046875 1.867188 -4.75 1.609375 -4.15625 C 1.429688 -3.757812 1.34375 -3.273438 1.34375 -2.703125 C 1.34375 -2.128906 1.460938 -1.644531 1.703125 -1.25 C 1.953125 -0.851562 2.335938 -0.65625 2.859375 -0.65625 C 3.265625 -0.65625 3.582031 -0.773438 3.8125 -1.015625 C 4.050781 -1.265625 4.210938 -1.601562 4.296875 -2.03125 L 5.25 -2.03125 C 5.132812 -1.269531 4.863281 -0.710938 4.4375 -0.359375 C 4.007812 -0.00390625 3.457031 0.171875 2.78125 0.171875 C 2.03125 0.171875 1.429688 -0.101562 0.984375 -0.65625 C 0.535156 -1.207031 0.3125 -1.894531 0.3125 -2.71875 C 0.3125 -3.726562 0.554688 -4.515625 1.046875 -5.078125 C 1.535156 -5.640625 2.160156 -5.921875 2.921875 -5.921875 Z M 2.78125 -5.890625 Z M 2.78125 -5.890625 "></path>
</g>
<g id="glyph-1-13">
<path d="M 1.328125 -2.8125 C 1.328125 -2.195312 1.457031 -1.679688 1.71875 -1.265625 C 1.976562 -0.847656 2.394531 -0.640625 2.96875 -0.640625 C 3.414062 -0.640625 3.78125 -0.832031 4.0625 -1.21875 C 4.351562 -1.601562 4.5 -2.15625 4.5 -2.875 C 4.5 -3.601562 4.347656 -4.140625 4.046875 -4.484375 C 3.753906 -4.835938 3.390625 -5.015625 2.953125 -5.015625 C 2.472656 -5.015625 2.082031 -4.828125 1.78125 -4.453125 C 1.476562 -4.078125 1.328125 -3.53125 1.328125 -2.8125 Z M 2.78125 -5.859375 C 3.21875 -5.859375 3.585938 -5.765625 3.890625 -5.578125 C 4.054688 -5.472656 4.25 -5.285156 4.46875 -5.015625 L 4.46875 -7.921875 L 5.390625 -7.921875 L 5.390625 0 L 4.53125 0 L 4.53125 -0.796875 C 4.300781 -0.441406 4.03125 -0.1875 3.71875 -0.03125 C 3.414062 0.125 3.066406 0.203125 2.671875 0.203125 C 2.023438 0.203125 1.46875 -0.0625 1 -0.59375 C 0.53125 -1.132812 0.296875 -1.851562 0.296875 -2.75 C 0.296875 -3.59375 0.507812 -4.320312 0.9375 -4.9375 C 1.363281 -5.550781 1.976562 -5.859375 2.78125 -5.859375 Z M 2.78125 -5.859375 "></path>
</g>
<g id="glyph-1-14">
<path d="M 1.671875 -6.765625 L 0.703125 -6.765625 L 0.703125 -7.890625 L 1.671875 -7.890625 Z M -0.203125 1.453125 C 0.234375 1.441406 0.492188 1.40625 0.578125 1.34375 C 0.660156 1.28125 0.703125 1.082031 0.703125 0.75 L 0.703125 -5.71875 L 1.671875 -5.71875 L 1.671875 0.859375 C 1.671875 1.273438 1.601562 1.585938 1.46875 1.796875 C 1.25 2.148438 0.820312 2.328125 0.1875 2.328125 C 0.144531 2.328125 0.0976562 2.320312 0.046875 2.3125 C -0.00390625 2.3125 -0.0859375 2.304688 -0.203125 2.296875 Z M -0.203125 1.453125 "></path>
</g>
<g id="glyph-1-15">
<path d="M 1.28125 -1.8125 C 1.3125 -1.488281 1.394531 -1.238281 1.53125 -1.0625 C 1.769531 -0.75 2.191406 -0.59375 2.796875 -0.59375 C 3.148438 -0.59375 3.460938 -0.671875 3.734375 -0.828125 C 4.003906 -0.984375 4.140625 -1.222656 4.140625 -1.546875 C 4.140625 -1.796875 4.03125 -1.984375 3.8125 -2.109375 C 3.675781 -2.191406 3.398438 -2.285156 2.984375 -2.390625 L 2.21875 -2.578125 C 1.726562 -2.703125 1.367188 -2.835938 1.140625 -2.984375 C 0.722656 -3.253906 0.515625 -3.617188 0.515625 -4.078125 C 0.515625 -4.617188 0.707031 -5.054688 1.09375 -5.390625 C 1.488281 -5.734375 2.019531 -5.90625 2.6875 -5.90625 C 3.550781 -5.90625 4.175781 -5.648438 4.5625 -5.140625 C 4.800781 -4.816406 4.914062 -4.46875 4.90625 -4.09375 L 4 -4.09375 C 3.976562 -4.3125 3.898438 -4.507812 3.765625 -4.6875 C 3.546875 -4.945312 3.160156 -5.078125 2.609375 -5.078125 C 2.242188 -5.078125 1.96875 -5.003906 1.78125 -4.859375 C 1.59375 -4.722656 1.5 -4.539062 1.5 -4.3125 C 1.5 -4.0625 1.625 -3.863281 1.875 -3.71875 C 2.007812 -3.625 2.21875 -3.539062 2.5 -3.46875 L 3.140625 -3.3125 C 3.835938 -3.144531 4.300781 -2.984375 4.53125 -2.828125 C 4.914062 -2.578125 5.109375 -2.191406 5.109375 -1.671875 C 5.109375 -1.148438 4.910156 -0.703125 4.515625 -0.328125 C 4.128906 0.0351562 3.539062 0.21875 2.75 0.21875 C 1.894531 0.21875 1.285156 0.0234375 0.921875 -0.359375 C 0.566406 -0.753906 0.378906 -1.238281 0.359375 -1.8125 Z M 2.71875 -5.890625 Z M 2.71875 -5.890625 "></path>
</g>
<g id="glyph-1-16">
<path d="M 0.6875 -7.890625 L 1.609375 -7.890625 L 1.609375 -3.3125 L 4.09375 -5.75 L 5.328125 -5.75 L 3.125 -3.59375 L 5.453125 0 L 4.21875 0 L 2.421875 -2.90625 L 1.609375 -2.15625 L 1.609375 0 L 0.6875 0 Z M 0.6875 -7.890625 "></path>
</g>
<g id="glyph-1-17">
<path d="M 2.734375 -5.859375 C 3.191406 -5.859375 3.585938 -5.742188 3.921875 -5.515625 C 4.097656 -5.390625 4.285156 -5.207031 4.484375 -4.96875 L 4.484375 -5.703125 L 5.375 -5.703125 L 5.375 -0.46875 C 5.375 0.257812 5.265625 0.835938 5.046875 1.265625 C 4.648438 2.046875 3.894531 2.4375 2.78125 2.4375 C 2.15625 2.4375 1.628906 2.296875 1.203125 2.015625 C 0.785156 1.734375 0.550781 1.300781 0.5 0.71875 L 1.484375 0.71875 C 1.535156 0.96875 1.628906 1.164062 1.765625 1.3125 C 1.984375 1.53125 2.328125 1.640625 2.796875 1.640625 C 3.535156 1.640625 4.019531 1.375 4.25 0.84375 C 4.382812 0.539062 4.445312 -0.00390625 4.4375 -0.796875 C 4.25 -0.503906 4.015625 -0.285156 3.734375 -0.140625 C 3.460938 -0.00390625 3.109375 0.0625 2.671875 0.0625 C 2.046875 0.0625 1.5 -0.15625 1.03125 -0.59375 C 0.5625 -1.03125 0.328125 -1.757812 0.328125 -2.78125 C 0.328125 -3.75 0.5625 -4.503906 1.03125 -5.046875 C 1.5 -5.585938 2.066406 -5.859375 2.734375 -5.859375 Z M 4.484375 -2.90625 C 4.484375 -3.613281 4.332031 -4.140625 4.03125 -4.484375 C 3.738281 -4.828125 3.367188 -5 2.921875 -5 C 2.234375 -5 1.765625 -4.679688 1.515625 -4.046875 C 1.390625 -3.703125 1.328125 -3.253906 1.328125 -2.703125 C 1.328125 -2.054688 1.457031 -1.5625 1.71875 -1.21875 C 1.976562 -0.882812 2.332031 -0.71875 2.78125 -0.71875 C 3.46875 -0.71875 3.957031 -1.03125 4.25 -1.65625 C 4.40625 -2.007812 4.484375 -2.425781 4.484375 -2.90625 Z M 2.859375 -5.890625 Z M 2.859375 -5.890625 "></path>
</g>
<g id="glyph-2-0">
<path d="M 0 -0.359375 L -7.890625 -0.359375 L -7.890625 -6.625 L 0 -6.625 Z M -0.984375 -5.625 L -6.90625 -5.625 L -6.90625 -1.34375 L -0.984375 -1.34375 Z M -0.984375 -5.625 "></path>
</g>
<g id="glyph-2-1">
<path d="M -3.234375 -4.890625 L -6.71875 -3.6875 L -3.234375 -2.421875 Z M -7.890625 -3.125 L -7.890625 -4.34375 L 0 -7.203125 L 0 -6.03125 L -2.359375 -5.234375 L -2.359375 -2.109375 L 0 -1.25 L 0 -0.15625 Z M -7.890625 -3.125 "></path>
</g>
<g id="glyph-2-2">
<path d="M -5.75 -1.1875 L -1.0625 -2.71875 L -5.75 -4.328125 L -5.75 -5.375 L 0 -3.21875 L 0 -2.1875 L -5.75 -0.0625 Z M -5.75 -1.1875 "></path>
</g>
<g id="glyph-2-3">
<path d="M -5.875 -3.109375 C -5.875 -3.515625 -5.78125 -3.90625 -5.59375 -4.28125 C -5.40625 -4.664062 -5.15625 -4.960938 -4.84375 -5.171875 C -4.5625 -5.359375 -4.222656 -5.484375 -3.828125 -5.546875 C -3.566406 -5.609375 -3.144531 -5.640625 -2.5625 -5.640625 L -2.5625 -1.421875 C -1.976562 -1.441406 -1.507812 -1.578125 -1.15625 -1.828125 C -0.8125 -2.085938 -0.640625 -2.488281 -0.640625 -3.03125 C -0.640625 -3.539062 -0.804688 -3.945312 -1.140625 -4.25 C -1.328125 -4.414062 -1.550781 -4.535156 -1.8125 -4.609375 L -1.8125 -5.5625 C -1.59375 -5.53125 -1.351562 -5.441406 -1.09375 -5.296875 C -0.832031 -5.160156 -0.625 -5.003906 -0.46875 -4.828125 C -0.175781 -4.535156 0.0195312 -4.175781 0.125 -3.75 C 0.175781 -3.507812 0.203125 -3.242188 0.203125 -2.953125 C 0.203125 -2.234375 -0.0546875 -1.625 -0.578125 -1.125 C -1.097656 -0.632812 -1.828125 -0.390625 -2.765625 -0.390625 C -3.691406 -0.390625 -4.441406 -0.640625 -5.015625 -1.140625 C -5.585938 -1.640625 -5.875 -2.296875 -5.875 -3.109375 Z M -3.328125 -4.640625 C -3.753906 -4.609375 -4.09375 -4.519531 -4.34375 -4.375 C -4.800781 -4.101562 -5.03125 -3.660156 -5.03125 -3.046875 C -5.03125 -2.597656 -4.867188 -2.222656 -4.546875 -1.921875 C -4.234375 -1.628906 -3.828125 -1.472656 -3.328125 -1.453125 Z M -5.890625 -3.015625 Z M -5.890625 -3.015625 "></path>
</g>
<g id="glyph-2-4">
<path d="M -5.75 -0.734375 L -5.75 -1.65625 L -4.765625 -1.65625 C -4.953125 -1.726562 -5.179688 -1.910156 -5.453125 -2.203125 C -5.734375 -2.492188 -5.875 -2.832031 -5.875 -3.21875 C -5.875 -3.238281 -5.875 -3.269531 -5.875 -3.3125 C -5.875 -3.351562 -5.867188 -3.425781 -5.859375 -3.53125 L -4.828125 -3.53125 C -4.835938 -3.476562 -4.84375 -3.425781 -4.84375 -3.375 C -4.851562 -3.320312 -4.859375 -3.269531 -4.859375 -3.21875 C -4.859375 -2.726562 -4.703125 -2.351562 -4.390625 -2.09375 C -4.078125 -1.832031 -3.71875 -1.703125 -3.3125 -1.703125 L 0 -1.703125 L 0 -0.734375 Z M -5.75 -0.734375 "></path>
</g>
<g id="glyph-2-5">
<path d="M -1.53125 -1.453125 C -1.25 -1.453125 -1.023438 -1.550781 -0.859375 -1.75 C -0.703125 -1.957031 -0.625 -2.203125 -0.625 -2.484375 C -0.625 -2.816406 -0.703125 -3.144531 -0.859375 -3.46875 C -1.117188 -4.007812 -1.550781 -4.28125 -2.15625 -4.28125 L -2.921875 -4.28125 C -2.847656 -4.15625 -2.785156 -4 -2.734375 -3.8125 C -2.691406 -3.632812 -2.65625 -3.453125 -2.625 -3.265625 L -2.5625 -2.6875 C -2.507812 -2.332031 -2.4375 -2.066406 -2.34375 -1.890625 C -2.164062 -1.597656 -1.894531 -1.453125 -1.53125 -1.453125 Z M -3.484375 -3.796875 C -3.515625 -4.015625 -3.609375 -4.160156 -3.765625 -4.234375 C -3.847656 -4.273438 -3.972656 -4.296875 -4.140625 -4.296875 C -4.460938 -4.296875 -4.695312 -4.175781 -4.84375 -3.9375 C -5 -3.707031 -5.078125 -3.375 -5.078125 -2.9375 C -5.078125 -2.4375 -4.941406 -2.082031 -4.671875 -1.875 C -4.515625 -1.75 -4.289062 -1.671875 -4 -1.640625 L -4 -0.734375 C -4.707031 -0.753906 -5.195312 -0.984375 -5.46875 -1.421875 C -5.75 -1.867188 -5.890625 -2.382812 -5.890625 -2.96875 C -5.890625 -3.644531 -5.757812 -4.191406 -5.5 -4.609375 C -5.25 -5.035156 -4.847656 -5.25 -4.296875 -5.25 L -0.984375 -5.25 C -0.890625 -5.25 -0.8125 -5.265625 -0.75 -5.296875 C -0.6875 -5.335938 -0.65625 -5.425781 -0.65625 -5.5625 C -0.65625 -5.601562 -0.65625 -5.648438 -0.65625 -5.703125 C -0.664062 -5.765625 -0.675781 -5.820312 -0.6875 -5.875 L 0.03125 -5.875 C 0.0703125 -5.726562 0.0976562 -5.613281 0.109375 -5.53125 C 0.117188 -5.457031 0.125 -5.351562 0.125 -5.21875 C 0.125 -4.882812 0.00390625 -4.640625 -0.234375 -4.484375 C -0.359375 -4.410156 -0.535156 -4.359375 -0.765625 -4.328125 C -0.503906 -4.128906 -0.28125 -3.84375 -0.09375 -3.46875 C 0.09375 -3.101562 0.1875 -2.695312 0.1875 -2.25 C 0.1875 -1.71875 0.0234375 -1.28125 -0.296875 -0.9375 C -0.617188 -0.601562 -1.023438 -0.4375 -1.515625 -0.4375 C -2.046875 -0.4375 -2.457031 -0.601562 -2.75 -0.9375 C -3.039062 -1.269531 -3.222656 -1.707031 -3.296875 -2.25 Z M -5.890625 -2.984375 Z M -5.890625 -2.984375 "></path>
</g>
<g id="glyph-2-6">
<path d="M -5.859375 -2.734375 C -5.859375 -3.191406 -5.742188 -3.585938 -5.515625 -3.921875 C -5.390625 -4.097656 -5.207031 -4.285156 -4.96875 -4.484375 L -5.703125 -4.484375 L -5.703125 -5.375 L -0.46875 -5.375 C 0.257812 -5.375 0.835938 -5.265625 1.265625 -5.046875 C 2.046875 -4.648438 2.4375 -3.894531 2.4375 -2.78125 C 2.4375 -2.15625 2.296875 -1.628906 2.015625 -1.203125 C 1.734375 -0.785156 1.300781 -0.550781 0.71875 -0.5 L 0.71875 -1.484375 C 0.96875 -1.535156 1.164062 -1.628906 1.3125 -1.765625 C 1.53125 -1.984375 1.640625 -2.328125 1.640625 -2.796875 C 1.640625 -3.535156 1.375 -4.019531 0.84375 -4.25 C 0.539062 -4.382812 -0.00390625 -4.445312 -0.796875 -4.4375 C -0.503906 -4.25 -0.285156 -4.015625 -0.140625 -3.734375 C -0.00390625 -3.460938 0.0625 -3.109375 0.0625 -2.671875 C 0.0625 -2.046875 -0.15625 -1.5 -0.59375 -1.03125 C -1.03125 -0.5625 -1.757812 -0.328125 -2.78125 -0.328125 C -3.75 -0.328125 -4.503906 -0.5625 -5.046875 -1.03125 C -5.585938 -1.5 -5.859375 -2.066406 -5.859375 -2.734375 Z M -2.90625 -4.484375 C -3.613281 -4.484375 -4.140625 -4.332031 -4.484375 -4.03125 C -4.828125 -3.738281 -5 -3.367188 -5 -2.921875 C -5 -2.234375 -4.679688 -1.765625 -4.046875 -1.515625 C -3.703125 -1.390625 -3.253906 -1.328125 -2.703125 -1.328125 C -2.054688 -1.328125 -1.5625 -1.457031 -1.21875 -1.71875 C -0.882812 -1.976562 -0.71875 -2.332031 -0.71875 -2.78125 C -0.71875 -3.46875 -1.03125 -3.957031 -1.65625 -4.25 C -2.007812 -4.40625 -2.425781 -4.484375 -2.90625 -4.484375 Z M -5.890625 -2.859375 Z M -5.890625 -2.859375 "></path>
</g>
<g id="glyph-2-7">
</g>
<g id="glyph-2-8">
<path d="M -7.359375 -0.90625 L -7.359375 -1.875 L -5.75 -1.875 L -5.75 -2.796875 L -4.96875 -2.796875 L -4.96875 -1.875 L -1.203125 -1.875 C -1.003906 -1.875 -0.875 -1.941406 -0.8125 -2.078125 C -0.769531 -2.160156 -0.75 -2.285156 -0.75 -2.453125 C -0.75 -2.503906 -0.75 -2.554688 -0.75 -2.609375 C -0.75 -2.660156 -0.753906 -2.722656 -0.765625 -2.796875 L 0 -2.796875 C 0.03125 -2.679688 0.0507812 -2.5625 0.0625 -2.4375 C 0.0820312 -2.320312 0.09375 -2.195312 0.09375 -2.0625 C 0.09375 -1.613281 -0.0195312 -1.304688 -0.25 -1.140625 C -0.488281 -0.984375 -0.789062 -0.90625 -1.15625 -0.90625 L -4.96875 -0.90625 L -4.96875 -0.125 L -5.75 -0.125 L -5.75 -0.90625 Z M -7.359375 -0.90625 "></path>
</g>
<g id="glyph-2-9">
<path d="M -5.71875 -0.703125 L -5.71875 -1.6875 L 0 -1.6875 L 0 -0.703125 Z M -7.890625 -0.703125 L -7.890625 -1.6875 L -6.796875 -1.6875 L -6.796875 -0.703125 Z M -7.890625 -0.703125 "></path>
</g>
<g id="glyph-2-10">
<path d="M -5.75 -0.703125 L -5.75 -1.671875 L -4.9375 -1.671875 C -5.21875 -1.898438 -5.421875 -2.101562 -5.546875 -2.28125 C -5.765625 -2.601562 -5.875 -2.96875 -5.875 -3.375 C -5.875 -3.832031 -5.765625 -4.203125 -5.546875 -4.484375 C -5.410156 -4.640625 -5.21875 -4.78125 -4.96875 -4.90625 C -5.28125 -5.125 -5.507812 -5.378906 -5.65625 -5.671875 C -5.800781 -5.960938 -5.875 -6.285156 -5.875 -6.640625 C -5.875 -7.410156 -5.597656 -7.9375 -5.046875 -8.21875 C -4.742188 -8.375 -4.335938 -8.453125 -3.828125 -8.453125 L 0 -8.453125 L 0 -7.4375 L -4 -7.4375 C -4.382812 -7.4375 -4.644531 -7.34375 -4.78125 -7.15625 C -4.925781 -6.96875 -5 -6.734375 -5 -6.453125 C -5 -6.078125 -4.867188 -5.75 -4.609375 -5.46875 C -4.359375 -5.195312 -3.9375 -5.0625 -3.34375 -5.0625 L 0 -5.0625 L 0 -4.078125 L -3.75 -4.078125 C -4.144531 -4.078125 -4.429688 -4.03125 -4.609375 -3.9375 C -4.878906 -3.789062 -5.015625 -3.519531 -5.015625 -3.125 C -5.015625 -2.757812 -4.867188 -2.425781 -4.578125 -2.125 C -4.296875 -1.820312 -3.785156 -1.671875 -3.046875 -1.671875 L 0 -1.671875 L 0 -0.703125 Z M -5.75 -0.703125 "></path>
</g>
<g id="glyph-2-11">
<path d="M -0.625 -2.984375 C -0.625 -3.628906 -0.863281 -4.070312 -1.34375 -4.3125 C -1.832031 -4.550781 -2.375 -4.671875 -2.96875 -4.671875 C -3.507812 -4.671875 -3.945312 -4.582031 -4.28125 -4.40625 C -4.8125 -4.132812 -5.078125 -3.664062 -5.078125 -3 C -5.078125 -2.40625 -4.847656 -1.972656 -4.390625 -1.703125 C -3.941406 -1.441406 -3.398438 -1.3125 -2.765625 -1.3125 C -2.148438 -1.3125 -1.640625 -1.441406 -1.234375 -1.703125 C -0.828125 -1.972656 -0.625 -2.398438 -0.625 -2.984375 Z M -5.921875 -3.03125 C -5.921875 -3.769531 -5.671875 -4.394531 -5.171875 -4.90625 C -4.679688 -5.414062 -3.957031 -5.671875 -3 -5.671875 C -2.070312 -5.671875 -1.304688 -5.445312 -0.703125 -5 C -0.0976562 -4.550781 0.203125 -3.851562 0.203125 -2.90625 C 0.203125 -2.113281 -0.0625 -1.484375 -0.59375 -1.015625 C -1.125 -0.546875 -1.84375 -0.3125 -2.75 -0.3125 C -3.71875 -0.3125 -4.488281 -0.554688 -5.0625 -1.046875 C -5.632812 -1.535156 -5.921875 -2.195312 -5.921875 -3.03125 Z M -5.890625 -3 Z M -5.890625 -3 "></path>
</g>
<g id="glyph-2-12">
<path d="M -7.890625 -0.734375 L -7.890625 -1.703125 L 0 -1.703125 L 0 -0.734375 Z M -7.890625 -0.734375 "></path>
</g>
<g id="glyph-2-13">
<path d="M -1.8125 -1.28125 C -1.488281 -1.3125 -1.238281 -1.394531 -1.0625 -1.53125 C -0.75 -1.769531 -0.59375 -2.191406 -0.59375 -2.796875 C -0.59375 -3.148438 -0.671875 -3.460938 -0.828125 -3.734375 C -0.984375 -4.003906 -1.222656 -4.140625 -1.546875 -4.140625 C -1.796875 -4.140625 -1.984375 -4.03125 -2.109375 -3.8125 C -2.191406 -3.675781 -2.285156 -3.398438 -2.390625 -2.984375 L -2.578125 -2.21875 C -2.703125 -1.726562 -2.835938 -1.367188 -2.984375 -1.140625 C -3.253906 -0.722656 -3.617188 -0.515625 -4.078125 -0.515625 C -4.617188 -0.515625 -5.054688 -0.707031 -5.390625 -1.09375 C -5.734375 -1.488281 -5.90625 -2.019531 -5.90625 -2.6875 C -5.90625 -3.550781 -5.648438 -4.175781 -5.140625 -4.5625 C -4.816406 -4.800781 -4.46875 -4.914062 -4.09375 -4.90625 L -4.09375 -4 C -4.3125 -3.976562 -4.507812 -3.898438 -4.6875 -3.765625 C -4.945312 -3.546875 -5.078125 -3.160156 -5.078125 -2.609375 C -5.078125 -2.242188 -5.003906 -1.96875 -4.859375 -1.78125 C -4.722656 -1.59375 -4.539062 -1.5 -4.3125 -1.5 C -4.0625 -1.5 -3.863281 -1.625 -3.71875 -1.875 C -3.625 -2.007812 -3.539062 -2.21875 -3.46875 -2.5 L -3.3125 -3.140625 C -3.144531 -3.835938 -2.984375 -4.300781 -2.828125 -4.53125 C -2.578125 -4.914062 -2.191406 -5.109375 -1.671875 -5.109375 C -1.148438 -5.109375 -0.703125 -4.910156 -0.328125 -4.515625 C 0.0351562 -4.128906 0.21875 -3.539062 0.21875 -2.75 C 0.21875 -1.894531 0.0234375 -1.285156 -0.359375 -0.921875 C -0.753906 -0.566406 -1.238281 -0.378906 -1.8125 -0.359375 Z M -5.890625 -2.71875 Z M -5.890625 -2.71875 "></path>
</g>
<g id="glyph-2-14">
<path d="M -0.65625 -3.140625 C -0.65625 -3.585938 -0.84375 -3.957031 -1.21875 -4.25 C -1.59375 -4.550781 -2.15625 -4.703125 -2.90625 -4.703125 C -3.363281 -4.703125 -3.757812 -4.640625 -4.09375 -4.515625 C -4.726562 -4.265625 -5.046875 -3.804688 -5.046875 -3.140625 C -5.046875 -2.460938 -4.710938 -2.003906 -4.046875 -1.765625 C -3.679688 -1.628906 -3.222656 -1.5625 -2.671875 -1.5625 C -2.234375 -1.5625 -1.859375 -1.628906 -1.546875 -1.765625 C -0.953125 -2.015625 -0.65625 -2.472656 -0.65625 -3.140625 Z M -5.71875 -0.640625 L -5.71875 -1.578125 L -4.96875 -1.578125 C -5.226562 -1.765625 -5.425781 -1.972656 -5.5625 -2.203125 C -5.78125 -2.535156 -5.890625 -2.921875 -5.890625 -3.359375 C -5.890625 -4.003906 -5.640625 -4.554688 -5.140625 -5.015625 C -4.640625 -5.472656 -3.925781 -5.703125 -3 -5.703125 C -1.75 -5.703125 -0.851562 -5.375 -0.3125 -4.71875 C 0.0195312 -4.300781 0.1875 -3.816406 0.1875 -3.265625 C 0.1875 -2.828125 0.09375 -2.460938 -0.09375 -2.171875 C -0.195312 -2.003906 -0.378906 -1.8125 -0.640625 -1.59375 L 2.296875 -1.59375 L 2.296875 -0.640625 Z M -5.71875 -0.640625 "></path>
</g>
<g id="glyph-2-15">
<path d="M -5.921875 -2.921875 C -5.921875 -3.578125 -5.757812 -4.109375 -5.4375 -4.515625 C -5.125 -4.921875 -4.582031 -5.164062 -3.8125 -5.25 L -3.8125 -4.296875 C -4.164062 -4.242188 -4.457031 -4.113281 -4.6875 -3.90625 C -4.925781 -3.707031 -5.046875 -3.378906 -5.046875 -2.921875 C -5.046875 -2.304688 -4.75 -1.867188 -4.15625 -1.609375 C -3.757812 -1.429688 -3.273438 -1.34375 -2.703125 -1.34375 C -2.128906 -1.34375 -1.644531 -1.460938 -1.25 -1.703125 C -0.851562 -1.953125 -0.65625 -2.335938 -0.65625 -2.859375 C -0.65625 -3.265625 -0.773438 -3.582031 -1.015625 -3.8125 C -1.265625 -4.050781 -1.601562 -4.210938 -2.03125 -4.296875 L -2.03125 -5.25 C -1.269531 -5.132812 -0.710938 -4.863281 -0.359375 -4.4375 C -0.00390625 -4.007812 0.171875 -3.457031 0.171875 -2.78125 C 0.171875 -2.03125 -0.101562 -1.429688 -0.65625 -0.984375 C -1.207031 -0.535156 -1.894531 -0.3125 -2.71875 -0.3125 C -3.726562 -0.3125 -4.515625 -0.554688 -5.078125 -1.046875 C -5.640625 -1.535156 -5.921875 -2.160156 -5.921875 -2.921875 Z M -5.890625 -2.78125 Z M -5.890625 -2.78125 "></path>
</g>
<g id="glyph-2-16">
<path d="M -5.75 -0.703125 L -5.75 -1.625 L -4.9375 -1.625 C -5.269531 -1.894531 -5.507812 -2.179688 -5.65625 -2.484375 C -5.800781 -2.796875 -5.875 -3.132812 -5.875 -3.5 C -5.875 -4.320312 -5.59375 -4.875 -5.03125 -5.15625 C -4.71875 -5.3125 -4.269531 -5.390625 -3.6875 -5.390625 L 0 -5.390625 L 0 -4.421875 L -3.625 -4.421875 C -3.976562 -4.421875 -4.257812 -4.367188 -4.46875 -4.265625 C -4.832031 -4.085938 -5.015625 -3.773438 -5.015625 -3.328125 C -5.015625 -3.097656 -4.988281 -2.910156 -4.9375 -2.765625 C -4.863281 -2.492188 -4.707031 -2.257812 -4.46875 -2.0625 C -4.28125 -1.90625 -4.082031 -1.800781 -3.875 -1.75 C -3.675781 -1.695312 -3.390625 -1.671875 -3.015625 -1.671875 L 0 -1.671875 L 0 -0.703125 Z M -5.890625 -2.984375 Z M -5.890625 -2.984375 "></path>
</g>
<g id="glyph-2-17">
<path d="M -7.921875 -0.640625 L -7.921875 -1.578125 L -5.046875 -1.578125 C -5.328125 -1.785156 -5.539062 -2.035156 -5.6875 -2.328125 C -5.832031 -2.617188 -5.90625 -2.9375 -5.90625 -3.28125 C -5.90625 -4 -5.65625 -4.582031 -5.15625 -5.03125 C -4.664062 -5.476562 -3.941406 -5.703125 -2.984375 -5.703125 C -2.078125 -5.703125 -1.320312 -5.476562 -0.71875 -5.03125 C -0.113281 -4.59375 0.1875 -3.984375 0.1875 -3.203125 C 0.1875 -2.765625 0.078125 -2.394531 -0.140625 -2.09375 C -0.265625 -1.914062 -0.460938 -1.726562 -0.734375 -1.53125 L 0 -1.53125 L 0 -0.640625 Z M -0.671875 -3.140625 C -0.671875 -3.671875 -0.878906 -4.0625 -1.296875 -4.3125 C -1.710938 -4.570312 -2.257812 -4.703125 -2.9375 -4.703125 C -3.539062 -4.703125 -4.039062 -4.570312 -4.4375 -4.3125 C -4.832031 -4.0625 -5.03125 -3.679688 -5.03125 -3.171875 C -5.03125 -2.734375 -4.867188 -2.347656 -4.546875 -2.015625 C -4.222656 -1.679688 -3.6875 -1.515625 -2.9375 -1.515625 C -2.394531 -1.515625 -1.957031 -1.582031 -1.625 -1.71875 C -0.988281 -1.976562 -0.671875 -2.453125 -0.671875 -3.140625 Z M -0.671875 -3.140625 "></path>
</g>
<g id="glyph-2-18">
<path d="M -6.765625 -1.671875 L -6.765625 -0.703125 L -7.890625 -0.703125 L -7.890625 -1.671875 Z M 1.453125 0.203125 C 1.441406 -0.234375 1.40625 -0.492188 1.34375 -0.578125 C 1.28125 -0.660156 1.082031 -0.703125 0.75 -0.703125 L -5.71875 -0.703125 L -5.71875 -1.671875 L 0.859375 -1.671875 C 1.273438 -1.671875 1.585938 -1.601562 1.796875 -1.46875 C 2.148438 -1.25 2.328125 -0.820312 2.328125 -0.1875 C 2.328125 -0.144531 2.320312 -0.0976562 2.3125 -0.046875 C 2.3125 0.00390625 2.304688 0.0859375 2.296875 0.203125 Z M 1.453125 0.203125 "></path>
</g>
</g>
<clipPath id="clip-0">
<path clip-rule="nonzero" d="M 48.152344 5.480469 L 141.84375 5.480469 L 141.84375 182.851562 L 48.152344 182.851562 Z M 48.152344 5.480469 "></path>
</clipPath>
<clipPath id="clip-1">
<path clip-rule="nonzero" d="M 48.152344 159 L 141.84375 159 L 141.84375 161 L 48.152344 161 Z M 48.152344 159 "></path>
</clipPath>
<clipPath id="clip-2">
<path clip-rule="nonzero" d="M 48.152344 130 L 141.84375 130 L 141.84375 131 L 48.152344 131 Z M 48.152344 130 "></path>
</clipPath>
<clipPath id="clip-3">
<path clip-rule="nonzero" d="M 48.152344 100 L 141.84375 100 L 141.84375 101 L 48.152344 101 Z M 48.152344 100 "></path>
</clipPath>
<clipPath id="clip-4">
<path clip-rule="nonzero" d="M 48.152344 70 L 141.84375 70 L 141.84375 72 L 48.152344 72 Z M 48.152344 70 "></path>
</clipPath>
<clipPath id="clip-5">
<path clip-rule="nonzero" d="M 48.152344 41 L 141.84375 41 L 141.84375 42 L 48.152344 42 Z M 48.152344 41 "></path>
</clipPath>
<clipPath id="clip-6">
<path clip-rule="nonzero" d="M 48.152344 11 L 141.84375 11 L 141.84375 12 L 48.152344 12 Z M 48.152344 11 "></path>
</clipPath>
<clipPath id="clip-7">
<path clip-rule="nonzero" d="M 62 5.480469 L 64 5.480469 L 64 182.851562 L 62 182.851562 Z M 62 5.480469 "></path>
</clipPath>
<clipPath id="clip-8">
<path clip-rule="nonzero" d="M 84 5.480469 L 85 5.480469 L 85 182.851562 L 84 182.851562 Z M 84 5.480469 "></path>
</clipPath>
<clipPath id="clip-9">
<path clip-rule="nonzero" d="M 105 5.480469 L 106 5.480469 L 106 182.851562 L 105 182.851562 Z M 105 5.480469 "></path>
</clipPath>
<clipPath id="clip-10">
<path clip-rule="nonzero" d="M 126 5.480469 L 128 5.480469 L 128 182.851562 L 126 182.851562 Z M 126 5.480469 "></path>
</clipPath>
<clipPath id="clip-11">
<path clip-rule="nonzero" d="M 48.152344 174 L 141.84375 174 L 141.84375 176 L 48.152344 176 Z M 48.152344 174 "></path>
</clipPath>
<clipPath id="clip-12">
<path clip-rule="nonzero" d="M 48.152344 144 L 141.84375 144 L 141.84375 146 L 48.152344 146 Z M 48.152344 144 "></path>
</clipPath>
<clipPath id="clip-13">
<path clip-rule="nonzero" d="M 48.152344 114 L 141.84375 114 L 141.84375 117 L 48.152344 117 Z M 48.152344 114 "></path>
</clipPath>
<clipPath id="clip-14">
<path clip-rule="nonzero" d="M 48.152344 85 L 141.84375 85 L 141.84375 87 L 48.152344 87 Z M 48.152344 85 "></path>
</clipPath>
<clipPath id="clip-15">
<path clip-rule="nonzero" d="M 48.152344 55 L 141.84375 55 L 141.84375 57 L 48.152344 57 Z M 48.152344 55 "></path>
</clipPath>
<clipPath id="clip-16">
<path clip-rule="nonzero" d="M 48.152344 25 L 141.84375 25 L 141.84375 27 L 48.152344 27 Z M 48.152344 25 "></path>
</clipPath>
<clipPath id="clip-17">
<path clip-rule="nonzero" d="M 51 5.480469 L 53 5.480469 L 53 182.851562 L 51 182.851562 Z M 51 5.480469 "></path>
</clipPath>
<clipPath id="clip-18">
<path clip-rule="nonzero" d="M 73 5.480469 L 75 5.480469 L 75 182.851562 L 73 182.851562 Z M 73 5.480469 "></path>
</clipPath>
<clipPath id="clip-19">
<path clip-rule="nonzero" d="M 94 5.480469 L 96 5.480469 L 96 182.851562 L 94 182.851562 Z M 94 5.480469 "></path>
</clipPath>
<clipPath id="clip-20">
<path clip-rule="nonzero" d="M 115 5.480469 L 117 5.480469 L 117 182.851562 L 115 182.851562 Z M 115 5.480469 "></path>
</clipPath>
<clipPath id="clip-21">
<path clip-rule="nonzero" d="M 137 5.480469 L 139 5.480469 L 139 182.851562 L 137 182.851562 Z M 137 5.480469 "></path>
</clipPath>
</defs>
<rect x="-21.6" y="-21.6" width="259.2" height="259.2" fill="rgb(100%, 100%, 100%)" fill-opacity="1"></rect>
<rect x="-21.6" y="-21.6" width="259.2" height="259.2" fill="rgb(100%, 100%, 100%)" fill-opacity="1"></rect>
<path fill="none" stroke-width="1.066978" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 0 216 L 216 216 L 216 0 L 0 0 Z M 0 216 "></path>
<g clip-path="url(#clip-0)">
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 48.152344 182.847656 L 141.84375 182.847656 L 141.84375 5.476562 L 48.152344 5.476562 Z M 48.152344 182.847656 "></path>
</g>
<g clip-path="url(#clip-1)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 159.988281 L 141.84375 159.988281 "></path>
</g>
<g clip-path="url(#clip-2)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 130.3125 L 141.84375 130.3125 "></path>
</g>
<g clip-path="url(#clip-3)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 100.632812 L 141.84375 100.632812 "></path>
</g>
<g clip-path="url(#clip-4)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 70.957031 L 141.84375 70.957031 "></path>
</g>
<g clip-path="url(#clip-5)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 41.28125 L 141.84375 41.28125 "></path>
</g>
<g clip-path="url(#clip-6)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 11.605469 L 141.84375 11.605469 "></path>
</g>
<g clip-path="url(#clip-7)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 63.019531 182.847656 L 63.019531 5.480469 "></path>
</g>
<g clip-path="url(#clip-8)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 84.324219 182.847656 L 84.324219 5.480469 "></path>
</g>
<g clip-path="url(#clip-9)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 105.628906 182.847656 L 105.628906 5.480469 "></path>
</g>
<g clip-path="url(#clip-10)">
<path fill="none" stroke-width="0.533489" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 126.933594 182.847656 L 126.933594 5.480469 "></path>
</g>
<g clip-path="url(#clip-11)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 174.824219 L 141.84375 174.824219 "></path>
</g>
<g clip-path="url(#clip-12)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 145.148438 L 141.84375 145.148438 "></path>
</g>
<g clip-path="url(#clip-13)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 115.472656 L 141.84375 115.472656 "></path>
</g>
<g clip-path="url(#clip-14)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 85.796875 L 141.84375 85.796875 "></path>
</g>
<g clip-path="url(#clip-15)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 56.121094 L 141.84375 56.121094 "></path>
</g>
<g clip-path="url(#clip-16)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 48.152344 26.445312 L 141.84375 26.445312 "></path>
</g>
<g clip-path="url(#clip-17)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 52.367188 182.847656 L 52.367188 5.480469 "></path>
</g>
<g clip-path="url(#clip-18)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 73.671875 182.847656 L 73.671875 5.480469 "></path>
</g>
<g clip-path="url(#clip-19)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 94.976562 182.847656 L 94.976562 5.480469 "></path>
</g>
<g clip-path="url(#clip-20)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 116.28125 182.847656 L 116.28125 5.480469 "></path>
</g>
<g clip-path="url(#clip-21)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 137.585938 182.847656 L 137.585938 5.480469 "></path>
</g>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 54.363281 174.746094 C 54.363281 177.351562 50.453125 177.351562 50.453125 174.746094 C 50.453125 172.140625 54.363281 172.140625 54.363281 174.746094 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 54.746094 174.785156 C 54.746094 177.394531 50.839844 177.394531 50.839844 174.785156 C 50.839844 172.179688 54.746094 172.179688 54.746094 174.785156 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 58.582031 174.785156 C 58.582031 177.390625 54.671875 177.390625 54.671875 174.785156 C 54.671875 172.179688 58.582031 172.179688 58.582031 174.785156 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 96.929688 174.78125 C 96.929688 177.386719 93.019531 177.386719 93.019531 174.78125 C 93.019531 172.175781 96.929688 172.175781 96.929688 174.78125 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 139.539062 174.773438 C 139.539062 177.378906 135.628906 177.378906 135.628906 174.773438 C 135.628906 172.164062 139.539062 172.164062 139.539062 174.773438 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 54.363281 154.949219 C 54.363281 157.554688 50.453125 157.554688 50.453125 154.949219 C 50.453125 152.339844 54.363281 152.339844 54.363281 154.949219 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 54.746094 174.34375 C 54.746094 176.949219 50.839844 176.949219 50.839844 174.34375 C 50.839844 171.738281 54.746094 171.738281 54.746094 174.34375 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 58.582031 164.722656 C 58.582031 167.328125 54.671875 167.328125 54.671875 164.722656 C 54.671875 162.117188 58.582031 162.117188 58.582031 164.722656 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 96.929688 101.265625 C 96.929688 103.871094 93.019531 103.871094 93.019531 101.265625 C 93.019531 98.660156 96.929688 98.660156 96.929688 101.265625 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 139.539062 13.542969 C 139.539062 16.148438 135.628906 16.148438 135.628906 13.542969 C 135.628906 10.933594 139.539062 10.933594 139.539062 13.542969 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 52.410156 174.746094 L 52.792969 174.785156 L 56.628906 174.785156 L 94.976562 174.78125 L 137.585938 174.773438 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 52.410156 154.949219 L 52.792969 174.34375 L 56.628906 164.722656 L 94.976562 101.265625 L 137.585938 13.542969 "></path>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="38.21875" y="178.100586" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-2" x="19.21875" y="148.424805" />
<use xlink:href="#glyph-0-1" x="24.21875" y="148.424805" />
<use xlink:href="#glyph-0-1" x="29.21875" y="148.424805" />
<use xlink:href="#glyph-0-3" x="34.21875" y="148.424805" />
<use xlink:href="#glyph-0-4" x="39.21875" y="148.424805" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-5" x="19.21875" y="118.749023" />
<use xlink:href="#glyph-0-1" x="24.21875" y="118.749023" />
<use xlink:href="#glyph-0-1" x="29.21875" y="118.749023" />
<use xlink:href="#glyph-0-3" x="34.21875" y="118.749023" />
<use xlink:href="#glyph-0-4" x="39.21875" y="118.749023" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-6" x="19.21875" y="89.073242" />
<use xlink:href="#glyph-0-1" x="24.21875" y="89.073242" />
<use xlink:href="#glyph-0-1" x="29.21875" y="89.073242" />
<use xlink:href="#glyph-0-3" x="34.21875" y="89.073242" />
<use xlink:href="#glyph-0-4" x="39.21875" y="89.073242" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-7" x="19.21875" y="59.397461" />
<use xlink:href="#glyph-0-1" x="24.21875" y="59.397461" />
<use xlink:href="#glyph-0-1" x="29.21875" y="59.397461" />
<use xlink:href="#glyph-0-3" x="34.21875" y="59.397461" />
<use xlink:href="#glyph-0-4" x="39.21875" y="59.397461" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-8" x="19.21875" y="29.72168" />
<use xlink:href="#glyph-0-1" x="24.21875" y="29.72168" />
<use xlink:href="#glyph-0-1" x="29.21875" y="29.72168" />
<use xlink:href="#glyph-0-3" x="34.21875" y="29.72168" />
<use xlink:href="#glyph-0-4" x="39.21875" y="29.72168" />
</g>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 174.824219 L 48.152344 174.824219 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 145.148438 L 48.152344 145.148438 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 115.472656 L 48.152344 115.472656 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 85.796875 L 48.152344 85.796875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 56.121094 L 48.152344 56.121094 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 45.410156 26.445312 L 48.152344 26.445312 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 52.367188 185.589844 L 52.367188 182.847656 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 73.671875 185.589844 L 73.671875 182.847656 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 94.976562 185.589844 L 94.976562 182.847656 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 116.28125 185.589844 L 116.28125 182.847656 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 137.585938 185.589844 L 137.585938 182.847656 "></path>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="49.867188" y="194.557617" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-8" x="60.171875" y="194.557617" />
<use xlink:href="#glyph-0-1" x="65.171875" y="194.557617" />
<use xlink:href="#glyph-0-9" x="70.171875" y="194.557617" />
<use xlink:href="#glyph-0-1" x="72.171875" y="194.557617" />
<use xlink:href="#glyph-0-1" x="77.171875" y="194.557617" />
<use xlink:href="#glyph-0-1" x="82.171875" y="194.557617" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-2" x="78.976562" y="194.557617" />
<use xlink:href="#glyph-0-1" x="83.976562" y="194.557617" />
<use xlink:href="#glyph-0-1" x="88.976562" y="194.557617" />
<use xlink:href="#glyph-0-9" x="93.976562" y="194.557617" />
<use xlink:href="#glyph-0-1" x="95.976562" y="194.557617" />
<use xlink:href="#glyph-0-1" x="100.976562" y="194.557617" />
<use xlink:href="#glyph-0-1" x="105.976562" y="194.557617" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-2" x="100.28125" y="194.557617" />
<use xlink:href="#glyph-0-8" x="105.28125" y="194.557617" />
<use xlink:href="#glyph-0-1" x="110.28125" y="194.557617" />
<use xlink:href="#glyph-0-9" x="115.28125" y="194.557617" />
<use xlink:href="#glyph-0-1" x="117.28125" y="194.557617" />
<use xlink:href="#glyph-0-1" x="122.28125" y="194.557617" />
<use xlink:href="#glyph-0-1" x="127.28125" y="194.557617" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-5" x="121.585938" y="194.557617" />
<use xlink:href="#glyph-0-1" x="126.585938" y="194.557617" />
<use xlink:href="#glyph-0-1" x="131.585938" y="194.557617" />
<use xlink:href="#glyph-0-9" x="136.585938" y="194.557617" />
<use xlink:href="#glyph-0-1" x="138.585938" y="194.557617" />
<use xlink:href="#glyph-0-1" x="143.585938" y="194.557617" />
<use xlink:href="#glyph-0-1" x="148.585938" y="194.557617" />
</g>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-1-1" x="25.996094" y="206.990234" />
<use xlink:href="#glyph-1-2" x="33.996094" y="206.990234" />
<use xlink:href="#glyph-1-3" x="39.996094" y="206.990234" />
<use xlink:href="#glyph-1-4" x="48.996094" y="206.990234" />
<use xlink:href="#glyph-1-5" x="54.996094" y="206.990234" />
<use xlink:href="#glyph-1-6" x="60.996094" y="206.990234" />
<use xlink:href="#glyph-1-7" x="64.996094" y="206.990234" />
<use xlink:href="#glyph-1-8" x="67.996094" y="206.990234" />
<use xlink:href="#glyph-1-9" x="73.996094" y="206.990234" />
<use xlink:href="#glyph-1-7" x="76.996094" y="206.990234" />
<use xlink:href="#glyph-1-10" x="79.996094" y="206.990234" />
<use xlink:href="#glyph-1-6" x="85.996094" y="206.990234" />
<use xlink:href="#glyph-1-8" x="89.996094" y="206.990234" />
<use xlink:href="#glyph-1-11" x="95.996094" y="206.990234" />
<use xlink:href="#glyph-1-5" x="98.996094" y="206.990234" />
<use xlink:href="#glyph-1-12" x="104.996094" y="206.990234" />
<use xlink:href="#glyph-1-11" x="110.996094" y="206.990234" />
<use xlink:href="#glyph-1-5" x="113.996094" y="206.990234" />
<use xlink:href="#glyph-1-13" x="119.996094" y="206.990234" />
<use xlink:href="#glyph-1-7" x="125.996094" y="206.990234" />
<use xlink:href="#glyph-1-8" x="128.996094" y="206.990234" />
<use xlink:href="#glyph-1-4" x="134.996094" y="206.990234" />
<use xlink:href="#glyph-1-14" x="140.996094" y="206.990234" />
<use xlink:href="#glyph-1-5" x="142.996094" y="206.990234" />
<use xlink:href="#glyph-1-12" x="148.996094" y="206.990234" />
<use xlink:href="#glyph-1-11" x="154.996094" y="206.990234" />
<use xlink:href="#glyph-1-15" x="157.996094" y="206.990234" />
</g>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-2-1" x="12.951172" y="210.664062" />
<use xlink:href="#glyph-2-2" x="12.951172" y="203.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="198.664062" />
<use xlink:href="#glyph-2-4" x="12.951172" y="192.664062" />
<use xlink:href="#glyph-2-5" x="12.951172" y="188.664062" />
<use xlink:href="#glyph-2-6" x="12.951172" y="182.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="176.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="170.664062" />
<use xlink:href="#glyph-2-8" x="12.951172" y="167.664062" />
<use xlink:href="#glyph-2-9" x="12.951172" y="164.664062" />
<use xlink:href="#glyph-2-10" x="12.951172" y="162.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="153.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="147.664062" />
<use xlink:href="#glyph-2-8" x="12.951172" y="144.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="141.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="135.664062" />
<use xlink:href="#glyph-2-4" x="12.951172" y="132.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="128.664062" />
<use xlink:href="#glyph-2-12" x="12.951172" y="122.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="120.664062" />
<use xlink:href="#glyph-2-5" x="12.951172" y="114.664062" />
<use xlink:href="#glyph-2-13" x="12.951172" y="108.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="102.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="96.664062" />
<use xlink:href="#glyph-2-14" x="12.951172" y="93.664062" />
<use xlink:href="#glyph-2-4" x="12.951172" y="87.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="83.664062" />
<use xlink:href="#glyph-2-8" x="12.951172" y="77.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="74.664062" />
<use xlink:href="#glyph-2-15" x="12.951172" y="68.664062" />
<use xlink:href="#glyph-2-8" x="12.951172" y="62.664062" />
<use xlink:href="#glyph-2-9" x="12.951172" y="59.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="57.664062" />
<use xlink:href="#glyph-2-16" x="12.951172" y="51.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="45.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="42.664062" />
<use xlink:href="#glyph-2-16" x="12.951172" y="36.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="30.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="27.664062" />
<use xlink:href="#glyph-2-16" x="12.951172" y="21.664062" />
<use xlink:href="#glyph-2-3" x="12.951172" y="15.664062" />
<use xlink:href="#glyph-2-7" x="12.951172" y="9.664062" />
<use xlink:href="#glyph-2-11" x="12.951172" y="6.664063" />
<use xlink:href="#glyph-2-17" x="12.951172" y="0.664063" />
<use xlink:href="#glyph-2-18" x="12.951172" y="-5.335937" />
<use xlink:href="#glyph-2-3" x="12.951172" y="-7.335937" />
<use xlink:href="#glyph-2-15" x="12.951172" y="-13.335938" />
<use xlink:href="#glyph-2-8" x="12.951172" y="-19.335938" />
</g>
<path fill-rule="nonzero" fill="rgb(100%, 100%, 100%)" fill-opacity="1" d="M 152.800781 125.164062 L 210.519531 125.164062 L 210.519531 63.164062 L 152.800781 63.164062 Z M 152.800781 125.164062 "></path>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-1-10" x="158.28125" y="77.615234" />
<use xlink:href="#glyph-1-16" x="164.28125" y="77.615234" />
<use xlink:href="#glyph-1-17" x="170.28125" y="77.615234" />
</g>
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 158.28125 102.402344 L 175.5625 102.402344 L 175.5625 85.121094 L 158.28125 85.121094 Z M 158.28125 102.402344 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 168.875 93.765625 C 168.875 96.371094 164.96875 96.371094 164.96875 93.765625 C 164.96875 91.15625 168.875 91.15625 168.875 93.765625 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 160.007812 93.765625 L 173.832031 93.765625 "></path>
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 158.28125 119.683594 L 175.5625 119.683594 L 175.5625 102.402344 L 158.28125 102.402344 Z M 158.28125 119.683594 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 168.875 111.042969 C 168.875 113.652344 164.96875 113.652344 164.96875 111.042969 C 164.96875 108.4375 168.875 108.4375 168.875 111.042969 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 160.007812 111.042969 L 173.832031 111.042969 "></path>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-0-10" x="181.042969" y="97.041992" />
<use xlink:href="#glyph-0-11" x="185.042969" y="97.041992" />
<use xlink:href="#glyph-0-11" x="190.042969" y="97.041992" />
<use xlink:href="#glyph-0-2" x="195.042969" y="97.041992" />
<use xlink:href="#glyph-0-2" x="200.042969" y="97.041992" />
</g>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-0-12" x="181.042969" y="114.319336" />
<use xlink:href="#glyph-0-10" x="184.042969" y="114.319336" />
<use xlink:href="#glyph-0-11" x="188.042969" y="114.319336" />
<use xlink:href="#glyph-0-11" x="193.042969" y="114.319336" />
</g>
</svg><!-- --></p>
<p>This plot shows the average time to protect and release a given
object is essentially constant for cpp11. Whereas it is linear or worse
with the number of objects being tracked for Rcpp.</p>
<table>
<thead>
<tr class="header">
<th align="right">len</th>
<th align="left">pkg</th>
<th align="right">min</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="right">1e+02</td>
<td align="left">cpp11</td>
<td align="right">26.28µs</td>
</tr>
<tr class="even">
<td align="right">1e+03</td>
<td align="left">cpp11</td>
<td align="right">127.51µs</td>
</tr>
<tr class="odd">
<td align="right">1e+04</td>
<td align="left">cpp11</td>
<td align="right">1.36ms</td>
</tr>
<tr class="even">
<td align="right">1e+05</td>
<td align="left">cpp11</td>
<td align="right">14.89ms</td>
</tr>
<tr class="odd">
<td align="right">2e+05</td>
<td align="left">cpp11</td>
<td align="right">35.62ms</td>
</tr>
<tr class="even">
<td align="right">1e+02</td>
<td align="left">rcpp</td>
<td align="right">6.7ms</td>
</tr>
<tr class="odd">
<td align="right">1e+03</td>
<td align="left">rcpp</td>
<td align="right">1.62ms</td>
</tr>
<tr class="even">
<td align="right">1e+04</td>
<td align="left">rcpp</td>
<td align="right">340.38ms</td>
</tr>
<tr class="odd">
<td align="right">1e+05</td>
<td align="left">rcpp</td>
<td align="right">24.79s</td>
</tr>
<tr class="even">
<td align="right">2e+05</td>
<td align="left">rcpp</td>
<td align="right">1.81m</td>
</tr>
</tbody>
</table>
</div>
<div id="growing-vectors" class="section level2">
<h2>Growing vectors</h2>
<p>One major difference in Rcpp and cpp11 is how vectors are grown. Rcpp
vectors have a <code>push_back()</code> method, but unlike
<code>std::vector()</code> no additional space is reserved when pushing.
This makes calling <code>push_back()</code> repeatably very expensive,
as the entire vector has to be copied each call.</p>
<p>In contrast <code>cpp11</code> vectors grow efficiently, reserving
extra space. Because of this you can do ~10,000,000 vector appends with
cpp11 in approximately the same amount of time that Rcpp does 10,000, as
this benchmark demonstrates.</p>
<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb21-1"><a href="#cb21-1" tabindex="-1"></a>grid <span class="ot"><-</span> <span class="fu">expand.grid</span>(<span class="at">len =</span> <span class="dv">10</span> <span class="sc">^</span> (<span class="dv">0</span><span class="sc">:</span><span class="dv">7</span>), <span class="at">pkg =</span> <span class="st">"cpp11"</span>, <span class="at">stringsAsFactors =</span> <span class="cn">FALSE</span>)</span>
<span id="cb21-2"><a href="#cb21-2" tabindex="-1"></a>grid <span class="ot"><-</span> <span class="fu">rbind</span>(</span>
<span id="cb21-3"><a href="#cb21-3" tabindex="-1"></a> grid,</span>
<span id="cb21-4"><a href="#cb21-4" tabindex="-1"></a> <span class="fu">expand.grid</span>(<span class="at">len =</span> <span class="dv">10</span> <span class="sc">^</span> (<span class="dv">0</span><span class="sc">:</span><span class="dv">4</span>), <span class="at">pkg =</span> <span class="st">"rcpp"</span>, <span class="at">stringsAsFactors =</span> <span class="cn">FALSE</span>)</span>
<span id="cb21-5"><a href="#cb21-5" tabindex="-1"></a>)</span>
<span id="cb21-6"><a href="#cb21-6" tabindex="-1"></a>b_grow <span class="ot"><-</span> bench<span class="sc">::</span><span class="fu">press</span>(<span class="at">.grid =</span> grid,</span>
<span id="cb21-7"><a href="#cb21-7" tabindex="-1"></a> {</span>
<span id="cb21-8"><a href="#cb21-8" tabindex="-1"></a> fun <span class="ot">=</span> <span class="fu">match.fun</span>(<span class="fu">sprintf</span>(<span class="st">"%sgrow_"</span>, <span class="fu">ifelse</span>(pkg <span class="sc">==</span> <span class="st">"cpp11"</span>, <span class="st">""</span>, <span class="fu">paste0</span>(pkg, <span class="st">"_"</span>))))</span>
<span id="cb21-9"><a href="#cb21-9" tabindex="-1"></a> bench<span class="sc">::</span><span class="fu">mark</span>(</span>
<span id="cb21-10"><a href="#cb21-10" tabindex="-1"></a> <span class="fu">fun</span>(len),</span>
<span id="cb21-11"><a href="#cb21-11" tabindex="-1"></a> <span class="at">min_iterations =</span> <span class="dv">100</span></span>
<span id="cb21-12"><a href="#cb21-12" tabindex="-1"></a> )</span>
<span id="cb21-13"><a href="#cb21-13" tabindex="-1"></a> }</span>
<span id="cb21-14"><a href="#cb21-14" tabindex="-1"></a>)[<span class="fu">c</span>(<span class="st">"len"</span>, <span class="st">"pkg"</span>, <span class="st">"min"</span>, <span class="st">"mem_alloc"</span>, <span class="st">"n_itr"</span>, <span class="st">"n_gc"</span>)]</span>
<span id="cb21-15"><a href="#cb21-15" tabindex="-1"></a><span class="fu">saveRDS</span>(b_grow, <span class="st">"growth.Rds"</span>, <span class="at">version =</span> <span class="dv">2</span>)</span></code></pre></div>
<p><svg id="svg_d827dda5b7f2e0f2f0e7894d0b4d5e389a78e143" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="216" height="216" viewBox="0 0 216 216">
<defs>
<g>
<g id="glyph-0-0">
<path d="M 0.28125 0 L 0.28125 -6.3125 L 5.296875 -6.3125 L 5.296875 0 Z M 4.5 -0.796875 L 4.5 -5.515625 L 1.078125 -5.515625 L 1.078125 -0.796875 Z M 4.5 -0.796875 "></path>
</g>
<g id="glyph-0-1">
<path d="M 0.84375 -4.359375 L 0.84375 -4.953125 C 1.394531 -5.003906 1.78125 -5.09375 2 -5.21875 C 2.226562 -5.34375 2.394531 -5.644531 2.5 -6.125 L 3.109375 -6.125 L 3.109375 0 L 2.296875 0 L 2.296875 -4.359375 Z M 0.84375 -4.359375 "></path>
</g>
<g id="glyph-0-2">
<path d="M 2.375 -6.15625 C 3.175781 -6.15625 3.753906 -5.828125 4.109375 -5.171875 C 4.378906 -4.660156 4.515625 -3.960938 4.515625 -3.078125 C 4.515625 -2.242188 4.390625 -1.554688 4.140625 -1.015625 C 3.785156 -0.222656 3.195312 0.171875 2.375 0.171875 C 1.632812 0.171875 1.082031 -0.148438 0.71875 -0.796875 C 0.425781 -1.328125 0.28125 -2.046875 0.28125 -2.953125 C 0.28125 -3.648438 0.367188 -4.25 0.546875 -4.75 C 0.878906 -5.6875 1.488281 -6.15625 2.375 -6.15625 Z M 2.375 -0.53125 C 2.769531 -0.53125 3.085938 -0.707031 3.328125 -1.0625 C 3.566406 -1.425781 3.6875 -2.085938 3.6875 -3.046875 C 3.6875 -3.753906 3.597656 -4.332031 3.421875 -4.78125 C 3.253906 -5.226562 2.921875 -5.453125 2.421875 -5.453125 C 1.972656 -5.453125 1.640625 -5.238281 1.421875 -4.8125 C 1.210938 -4.382812 1.109375 -3.753906 1.109375 -2.921875 C 1.109375 -2.296875 1.175781 -1.789062 1.3125 -1.40625 C 1.519531 -0.820312 1.875 -0.53125 2.375 -0.53125 Z M 2.375 -0.53125 "></path>
</g>
<g id="glyph-0-3">
<path d="M 1.859375 -4.59375 L 1.15625 -1.34375 C 1.144531 -1.289062 1.132812 -1.242188 1.125 -1.203125 C 1.125 -1.171875 1.125 -1.132812 1.125 -1.09375 C 1.125 -0.957031 1.15625 -0.847656 1.21875 -0.765625 C 1.3125 -0.617188 1.5 -0.546875 1.78125 -0.546875 C 2.195312 -0.546875 2.546875 -0.695312 2.828125 -1 C 3.117188 -1.3125 3.304688 -1.671875 3.390625 -2.078125 L 3.953125 -4.59375 L 4.734375 -4.59375 L 3.75 0 L 3 0 L 3.1875 -0.765625 C 3.125 -0.640625 2.988281 -0.492188 2.78125 -0.328125 C 2.425781 -0.0234375 2.035156 0.125 1.609375 0.125 C 1.472656 0.125 1.332031 0.0976562 1.1875 0.046875 C 1.050781 -0.00390625 0.953125 -0.0625 0.890625 -0.125 L 0.46875 1.8125 L -0.328125 1.8125 L 1.0625 -4.59375 Z M 1.859375 -4.59375 "></path>
</g>
<g id="glyph-0-4">
<path d="M 1.03125 -1.4375 C 1.050781 -1.1875 1.113281 -0.988281 1.21875 -0.84375 C 1.414062 -0.601562 1.753906 -0.484375 2.234375 -0.484375 C 2.515625 -0.484375 2.765625 -0.539062 2.984375 -0.65625 C 3.203125 -0.78125 3.3125 -0.972656 3.3125 -1.234375 C 3.3125 -1.429688 3.222656 -1.582031 3.046875 -1.6875 C 2.941406 -1.75 2.722656 -1.820312 2.390625 -1.90625 L 1.78125 -2.0625 C 1.382812 -2.164062 1.09375 -2.273438 0.90625 -2.390625 C 0.570312 -2.597656 0.40625 -2.890625 0.40625 -3.265625 C 0.40625 -3.691406 0.5625 -4.039062 0.875 -4.3125 C 1.195312 -4.582031 1.617188 -4.71875 2.140625 -4.71875 C 2.835938 -4.71875 3.335938 -4.515625 3.640625 -4.109375 C 3.835938 -3.847656 3.929688 -3.570312 3.921875 -3.28125 L 3.203125 -3.28125 C 3.179688 -3.457031 3.117188 -3.613281 3.015625 -3.75 C 2.835938 -3.957031 2.53125 -4.0625 2.09375 -4.0625 C 1.800781 -4.0625 1.578125 -4.003906 1.421875 -3.890625 C 1.273438 -3.773438 1.203125 -3.628906 1.203125 -3.453125 C 1.203125 -3.253906 1.300781 -3.09375 1.5 -2.96875 C 1.613281 -2.894531 1.78125 -2.832031 2 -2.78125 L 2.515625 -2.65625 C 3.066406 -2.519531 3.4375 -2.390625 3.625 -2.265625 C 3.925781 -2.066406 4.078125 -1.753906 4.078125 -1.328125 C 4.078125 -0.921875 3.921875 -0.566406 3.609375 -0.265625 C 3.304688 0.0234375 2.832031 0.171875 2.1875 0.171875 C 1.507812 0.171875 1.023438 0.0195312 0.734375 -0.28125 C 0.453125 -0.59375 0.300781 -0.976562 0.28125 -1.4375 Z M 2.171875 -4.71875 Z M 2.171875 -4.71875 "></path>
</g>
<g id="glyph-0-5">
<path d="M 0.5625 -4.59375 L 1.328125 -4.59375 L 1.328125 -3.953125 C 1.515625 -4.171875 1.679688 -4.332031 1.828125 -4.4375 C 2.085938 -4.613281 2.378906 -4.703125 2.703125 -4.703125 C 3.066406 -4.703125 3.359375 -4.613281 3.578125 -4.4375 C 3.703125 -4.332031 3.816406 -4.179688 3.921875 -3.984375 C 4.097656 -4.222656 4.300781 -4.398438 4.53125 -4.515625 C 4.757812 -4.640625 5.019531 -4.703125 5.3125 -4.703125 C 5.925781 -4.703125 6.347656 -4.476562 6.578125 -4.03125 C 6.691406 -3.789062 6.75 -3.46875 6.75 -3.0625 L 6.75 0 L 5.953125 0 L 5.953125 -3.203125 C 5.953125 -3.503906 5.875 -3.710938 5.71875 -3.828125 C 5.570312 -3.941406 5.382812 -4 5.15625 -4 C 4.851562 -4 4.59375 -3.894531 4.375 -3.6875 C 4.15625 -3.488281 4.046875 -3.148438 4.046875 -2.671875 L 4.046875 0 L 3.265625 0 L 3.265625 -3 C 3.265625 -3.3125 3.226562 -3.539062 3.15625 -3.6875 C 3.039062 -3.894531 2.820312 -4 2.5 -4 C 2.207031 -4 1.941406 -3.882812 1.703125 -3.65625 C 1.460938 -3.4375 1.34375 -3.03125 1.34375 -2.4375 L 1.34375 0 L 0.5625 0 Z M 0.5625 -4.59375 "></path>
</g>
<g id="glyph-0-6">
<path d="M 2.34375 -4.734375 C 2.863281 -4.734375 3.285156 -4.609375 3.609375 -4.359375 C 3.929688 -4.109375 4.125 -3.671875 4.1875 -3.046875 L 3.4375 -3.046875 C 3.394531 -3.335938 3.289062 -3.578125 3.125 -3.765625 C 2.957031 -3.953125 2.695312 -4.046875 2.34375 -4.046875 C 1.851562 -4.046875 1.5 -3.800781 1.28125 -3.3125 C 1.144531 -3.007812 1.078125 -2.628906 1.078125 -2.171875 C 1.078125 -1.703125 1.171875 -1.3125 1.359375 -1 C 1.554688 -0.6875 1.867188 -0.53125 2.296875 -0.53125 C 2.609375 -0.53125 2.859375 -0.625 3.046875 -0.8125 C 3.234375 -1.007812 3.363281 -1.28125 3.4375 -1.625 L 4.1875 -1.625 C 4.101562 -1.019531 3.890625 -0.570312 3.546875 -0.28125 C 3.203125 0 2.765625 0.140625 2.234375 0.140625 C 1.628906 0.140625 1.144531 -0.078125 0.78125 -0.515625 C 0.425781 -0.960938 0.25 -1.515625 0.25 -2.171875 C 0.25 -2.984375 0.445312 -3.613281 0.84375 -4.0625 C 1.238281 -4.507812 1.738281 -4.734375 2.34375 -4.734375 Z M 2.21875 -4.71875 Z M 2.21875 -4.71875 "></path>
</g>
<g id="glyph-0-7">
<path d="M 2.515625 -0.515625 C 2.867188 -0.515625 3.164062 -0.664062 3.40625 -0.96875 C 3.644531 -1.269531 3.765625 -1.722656 3.765625 -2.328125 C 3.765625 -2.691406 3.710938 -3.003906 3.609375 -3.265625 C 3.410156 -3.773438 3.046875 -4.03125 2.515625 -4.03125 C 1.972656 -4.03125 1.601562 -3.765625 1.40625 -3.234375 C 1.300781 -2.941406 1.25 -2.578125 1.25 -2.140625 C 1.25 -1.785156 1.300781 -1.484375 1.40625 -1.234375 C 1.601562 -0.753906 1.972656 -0.515625 2.515625 -0.515625 Z M 0.5 -4.578125 L 1.265625 -4.578125 L 1.265625 -3.96875 C 1.410156 -4.175781 1.578125 -4.335938 1.765625 -4.453125 C 2.023438 -4.628906 2.332031 -4.71875 2.6875 -4.71875 C 3.207031 -4.71875 3.648438 -4.515625 4.015625 -4.109375 C 4.378906 -3.710938 4.5625 -3.144531 4.5625 -2.40625 C 4.5625 -1.394531 4.296875 -0.675781 3.765625 -0.25 C 3.429688 0.0195312 3.046875 0.15625 2.609375 0.15625 C 2.265625 0.15625 1.972656 0.078125 1.734375 -0.078125 C 1.597656 -0.160156 1.445312 -0.304688 1.28125 -0.515625 L 1.28125 1.828125 L 0.5 1.828125 Z M 0.5 -4.578125 "></path>
</g>
<g id="glyph-0-8">
<path d="M 0.59375 -4.59375 L 1.328125 -4.59375 L 1.328125 -3.8125 C 1.378906 -3.957031 1.523438 -4.140625 1.765625 -4.359375 C 2.003906 -4.585938 2.273438 -4.703125 2.578125 -4.703125 C 2.585938 -4.703125 2.609375 -4.695312 2.640625 -4.6875 C 2.679688 -4.6875 2.742188 -4.6875 2.828125 -4.6875 L 2.828125 -3.859375 C 2.773438 -3.867188 2.726562 -3.875 2.6875 -3.875 C 2.65625 -3.882812 2.617188 -3.890625 2.578125 -3.890625 C 2.179688 -3.890625 1.878906 -3.765625 1.671875 -3.515625 C 1.460938 -3.265625 1.359375 -2.972656 1.359375 -2.640625 L 1.359375 0 L 0.59375 0 Z M 0.59375 -4.59375 "></path>
</g>
<g id="glyph-1-0">
<path d="M 0.203125 0 L 0.203125 -4.421875 L 3.703125 -4.421875 L 3.703125 0 Z M 3.15625 -0.546875 L 3.15625 -3.859375 L 0.75 -3.859375 L 0.75 -0.546875 Z M 3.15625 -0.546875 "></path>
</g>
<g id="glyph-1-1">
<path d="M 1.671875 -4.296875 C 2.222656 -4.296875 2.625 -4.066406 2.875 -3.609375 C 3.0625 -3.253906 3.15625 -2.769531 3.15625 -2.15625 C 3.15625 -1.570312 3.070312 -1.085938 2.90625 -0.703125 C 2.644531 -0.148438 2.226562 0.125 1.65625 0.125 C 1.144531 0.125 0.765625 -0.101562 0.515625 -0.5625 C 0.296875 -0.9375 0.1875 -1.4375 0.1875 -2.0625 C 0.1875 -2.550781 0.25 -2.972656 0.375 -3.328125 C 0.613281 -3.972656 1.046875 -4.296875 1.671875 -4.296875 Z M 1.65625 -0.375 C 1.9375 -0.375 2.160156 -0.5 2.328125 -0.75 C 2.492188 -1 2.578125 -1.460938 2.578125 -2.140625 C 2.578125 -2.628906 2.515625 -3.03125 2.390625 -3.34375 C 2.273438 -3.65625 2.046875 -3.8125 1.703125 -3.8125 C 1.378906 -3.8125 1.144531 -3.660156 1 -3.359375 C 0.851562 -3.066406 0.78125 -2.628906 0.78125 -2.046875 C 0.78125 -1.609375 0.828125 -1.253906 0.921875 -0.984375 C 1.066406 -0.578125 1.3125 -0.375 1.65625 -0.375 Z M 1.65625 -0.375 "></path>
</g>
<g id="glyph-1-2">
<path d="M 0.1875 0 C 0.207031 -0.375 0.285156 -0.695312 0.421875 -0.96875 C 0.554688 -1.238281 0.816406 -1.488281 1.203125 -1.71875 L 1.78125 -2.046875 C 2.039062 -2.203125 2.222656 -2.332031 2.328125 -2.4375 C 2.484375 -2.601562 2.5625 -2.789062 2.5625 -3 C 2.5625 -3.25 2.488281 -3.445312 2.34375 -3.59375 C 2.195312 -3.75 2 -3.828125 1.75 -3.828125 C 1.375 -3.828125 1.113281 -3.6875 0.96875 -3.40625 C 0.894531 -3.25 0.851562 -3.039062 0.84375 -2.78125 L 0.296875 -2.78125 C 0.304688 -3.15625 0.375 -3.457031 0.5 -3.6875 C 0.738281 -4.101562 1.15625 -4.3125 1.75 -4.3125 C 2.238281 -4.3125 2.597656 -4.175781 2.828125 -3.90625 C 3.054688 -3.644531 3.171875 -3.351562 3.171875 -3.03125 C 3.171875 -2.6875 3.046875 -2.390625 2.796875 -2.140625 C 2.660156 -2.003906 2.410156 -1.832031 2.046875 -1.625 L 1.640625 -1.40625 C 1.441406 -1.289062 1.285156 -1.1875 1.171875 -1.09375 C 0.972656 -0.914062 0.847656 -0.722656 0.796875 -0.515625 L 3.140625 -0.515625 L 3.140625 0 Z M 0.1875 0 "></path>
</g>
<g id="glyph-1-3">
<path d="M 2.03125 -1.53125 L 2.03125 -3.46875 L 0.65625 -1.53125 Z M 2.046875 0 L 2.046875 -1.046875 L 0.15625 -1.046875 L 0.15625 -1.578125 L 2.125 -4.3125 L 2.578125 -4.3125 L 2.578125 -1.53125 L 3.21875 -1.53125 L 3.21875 -1.046875 L 2.578125 -1.046875 L 2.578125 0 Z M 2.046875 0 "></path>
</g>
<g id="glyph-1-4">
<path d="M 1.796875 -4.328125 C 2.273438 -4.328125 2.609375 -4.203125 2.796875 -3.953125 C 2.992188 -3.703125 3.09375 -3.441406 3.09375 -3.171875 L 2.5625 -3.171875 C 2.519531 -3.347656 2.46875 -3.484375 2.40625 -3.578125 C 2.269531 -3.753906 2.070312 -3.84375 1.8125 -3.84375 C 1.507812 -3.84375 1.269531 -3.703125 1.09375 -3.421875 C 0.914062 -3.148438 0.816406 -2.753906 0.796875 -2.234375 C 0.921875 -2.410156 1.078125 -2.546875 1.265625 -2.640625 C 1.429688 -2.710938 1.625 -2.75 1.84375 -2.75 C 2.195312 -2.75 2.507812 -2.632812 2.78125 -2.40625 C 3.050781 -2.175781 3.1875 -1.832031 3.1875 -1.375 C 3.1875 -0.988281 3.054688 -0.644531 2.796875 -0.34375 C 2.546875 -0.0390625 2.1875 0.109375 1.71875 0.109375 C 1.3125 0.109375 0.960938 -0.0390625 0.671875 -0.34375 C 0.378906 -0.65625 0.234375 -1.171875 0.234375 -1.890625 C 0.234375 -2.421875 0.296875 -2.875 0.421875 -3.25 C 0.671875 -3.96875 1.128906 -4.328125 1.796875 -4.328125 Z M 1.765625 -0.375 C 2.046875 -0.375 2.253906 -0.46875 2.390625 -0.65625 C 2.535156 -0.84375 2.609375 -1.066406 2.609375 -1.328125 C 2.609375 -1.554688 2.546875 -1.769531 2.421875 -1.96875 C 2.296875 -2.164062 2.066406 -2.265625 1.734375 -2.265625 C 1.503906 -2.265625 1.300781 -2.1875 1.125 -2.03125 C 0.945312 -1.875 0.859375 -1.640625 0.859375 -1.328125 C 0.859375 -1.054688 0.9375 -0.828125 1.09375 -0.640625 C 1.257812 -0.460938 1.484375 -0.375 1.765625 -0.375 Z M 1.765625 -0.375 "></path>
</g>
<g id="glyph-2-0">
<path d="M 0.359375 0 L 0.359375 -7.890625 L 6.625 -7.890625 L 6.625 0 Z M 5.625 -0.984375 L 5.625 -6.90625 L 1.34375 -6.90625 L 1.34375 -0.984375 Z M 5.625 -0.984375 "></path>
</g>
<g id="glyph-2-1">
<path d="M 3.140625 -0.65625 C 3.585938 -0.65625 3.957031 -0.84375 4.25 -1.21875 C 4.550781 -1.59375 4.703125 -2.15625 4.703125 -2.90625 C 4.703125 -3.363281 4.640625 -3.757812 4.515625 -4.09375 C 4.265625 -4.726562 3.804688 -5.046875 3.140625 -5.046875 C 2.460938 -5.046875 2.003906 -4.710938 1.765625 -4.046875 C 1.628906 -3.679688 1.5625 -3.222656 1.5625 -2.671875 C 1.5625 -2.234375 1.628906 -1.859375 1.765625 -1.546875 C 2.015625 -0.953125 2.472656 -0.65625 3.140625 -0.65625 Z M 0.640625 -5.71875 L 1.578125 -5.71875 L 1.578125 -4.96875 C 1.765625 -5.226562 1.972656 -5.425781 2.203125 -5.5625 C 2.535156 -5.78125 2.921875 -5.890625 3.359375 -5.890625 C 4.003906 -5.890625 4.554688 -5.640625 5.015625 -5.140625 C 5.472656 -4.640625 5.703125 -3.925781 5.703125 -3 C 5.703125 -1.75 5.375 -0.851562 4.71875 -0.3125 C 4.300781 0.0195312 3.816406 0.1875 3.265625 0.1875 C 2.828125 0.1875 2.460938 0.09375 2.171875 -0.09375 C 2.003906 -0.195312 1.8125 -0.378906 1.59375 -0.640625 L 1.59375 2.296875 L 0.640625 2.296875 Z M 0.640625 -5.71875 "></path>
</g>
<g id="glyph-2-2">
<path d="M 0.6875 -7.890625 L 1.609375 -7.890625 L 1.609375 -3.3125 L 4.09375 -5.75 L 5.328125 -5.75 L 3.125 -3.59375 L 5.453125 0 L 4.21875 0 L 2.421875 -2.90625 L 1.609375 -2.15625 L 1.609375 0 L 0.6875 0 Z M 0.6875 -7.890625 "></path>
</g>
<g id="glyph-2-3">
<path d="M 2.734375 -5.859375 C 3.191406 -5.859375 3.585938 -5.742188 3.921875 -5.515625 C 4.097656 -5.390625 4.285156 -5.207031 4.484375 -4.96875 L 4.484375 -5.703125 L 5.375 -5.703125 L 5.375 -0.46875 C 5.375 0.257812 5.265625 0.835938 5.046875 1.265625 C 4.648438 2.046875 3.894531 2.4375 2.78125 2.4375 C 2.15625 2.4375 1.628906 2.296875 1.203125 2.015625 C 0.785156 1.734375 0.550781 1.300781 0.5 0.71875 L 1.484375 0.71875 C 1.535156 0.96875 1.628906 1.164062 1.765625 1.3125 C 1.984375 1.53125 2.328125 1.640625 2.796875 1.640625 C 3.535156 1.640625 4.019531 1.375 4.25 0.84375 C 4.382812 0.539062 4.445312 -0.00390625 4.4375 -0.796875 C 4.25 -0.503906 4.015625 -0.285156 3.734375 -0.140625 C 3.460938 -0.00390625 3.109375 0.0625 2.671875 0.0625 C 2.046875 0.0625 1.5 -0.15625 1.03125 -0.59375 C 0.5625 -1.03125 0.328125 -1.757812 0.328125 -2.78125 C 0.328125 -3.75 0.5625 -4.503906 1.03125 -5.046875 C 1.5 -5.585938 2.066406 -5.859375 2.734375 -5.859375 Z M 4.484375 -2.90625 C 4.484375 -3.613281 4.332031 -4.140625 4.03125 -4.484375 C 3.738281 -4.828125 3.367188 -5 2.921875 -5 C 2.234375 -5 1.765625 -4.679688 1.515625 -4.046875 C 1.390625 -3.703125 1.328125 -3.253906 1.328125 -2.703125 C 1.328125 -2.054688 1.457031 -1.5625 1.71875 -1.21875 C 1.976562 -0.882812 2.332031 -0.71875 2.78125 -0.71875 C 3.46875 -0.71875 3.957031 -1.03125 4.25 -1.65625 C 4.40625 -2.007812 4.484375 -2.425781 4.484375 -2.90625 Z M 2.859375 -5.890625 Z M 2.859375 -5.890625 "></path>
</g>
<g id="glyph-3-0">
<path d="M 0.421875 0 L 0.421875 -9.46875 L 7.9375 -9.46875 L 7.9375 0 Z M 6.75 -1.1875 L 6.75 -8.28125 L 1.609375 -8.28125 L 1.609375 -1.1875 Z M 6.75 -1.1875 "></path>
</g>
<g id="glyph-3-1">
<path d="M 0.890625 -9.46875 L 2.046875 -9.46875 L 2.046875 0 L 0.890625 0 Z M 0.890625 -9.46875 "></path>
</g>
<g id="glyph-3-2">
<path d="M 3.59375 -0.75 C 4.363281 -0.75 4.890625 -1.039062 5.171875 -1.625 C 5.460938 -2.207031 5.609375 -2.851562 5.609375 -3.5625 C 5.609375 -4.207031 5.503906 -4.734375 5.296875 -5.140625 C 4.960938 -5.773438 4.398438 -6.09375 3.609375 -6.09375 C 2.898438 -6.09375 2.382812 -5.820312 2.0625 -5.28125 C 1.738281 -4.738281 1.578125 -4.082031 1.578125 -3.3125 C 1.578125 -2.582031 1.738281 -1.972656 2.0625 -1.484375 C 2.382812 -0.992188 2.894531 -0.75 3.59375 -0.75 Z M 3.640625 -7.109375 C 4.523438 -7.109375 5.273438 -6.8125 5.890625 -6.21875 C 6.503906 -5.625 6.8125 -4.75 6.8125 -3.59375 C 6.8125 -2.476562 6.539062 -1.554688 6 -0.828125 C 5.457031 -0.109375 4.617188 0.25 3.484375 0.25 C 2.535156 0.25 1.78125 -0.0664062 1.21875 -0.703125 C 0.65625 -1.347656 0.375 -2.210938 0.375 -3.296875 C 0.375 -4.460938 0.664062 -5.390625 1.25 -6.078125 C 1.84375 -6.765625 2.640625 -7.109375 3.640625 -7.109375 Z M 3.59375 -7.078125 Z M 3.59375 -7.078125 "></path>
</g>
<g id="glyph-3-3">
<path d="M 3.28125 -7.03125 C 3.820312 -7.03125 4.296875 -6.894531 4.703125 -6.625 C 4.921875 -6.476562 5.144531 -6.257812 5.375 -5.96875 L 5.375 -6.84375 L 6.453125 -6.84375 L 6.453125 -0.5625 C 6.453125 0.3125 6.320312 1.003906 6.0625 1.515625 C 5.582031 2.453125 4.671875 2.921875 3.328125 2.921875 C 2.585938 2.921875 1.960938 2.753906 1.453125 2.421875 C 0.953125 2.085938 0.671875 1.566406 0.609375 0.859375 L 1.78125 0.859375 C 1.84375 1.171875 1.957031 1.410156 2.125 1.578125 C 2.382812 1.828125 2.796875 1.953125 3.359375 1.953125 C 4.242188 1.953125 4.828125 1.640625 5.109375 1.015625 C 5.265625 0.648438 5.335938 -0.00390625 5.328125 -0.953125 C 5.097656 -0.609375 4.816406 -0.347656 4.484375 -0.171875 C 4.160156 -0.00390625 3.734375 0.078125 3.203125 0.078125 C 2.453125 0.078125 1.796875 -0.1875 1.234375 -0.71875 C 0.671875 -1.25 0.390625 -2.125 0.390625 -3.34375 C 0.390625 -4.5 0.671875 -5.398438 1.234375 -6.046875 C 1.804688 -6.703125 2.488281 -7.03125 3.28125 -7.03125 Z M 5.375 -3.484375 C 5.375 -4.335938 5.195312 -4.96875 4.84375 -5.375 C 4.488281 -5.789062 4.039062 -6 3.5 -6 C 2.6875 -6 2.128906 -5.617188 1.828125 -4.859375 C 1.660156 -4.441406 1.578125 -3.90625 1.578125 -3.25 C 1.578125 -2.46875 1.734375 -1.875 2.046875 -1.46875 C 2.367188 -1.0625 2.796875 -0.859375 3.328125 -0.859375 C 4.160156 -0.859375 4.75 -1.234375 5.09375 -1.984375 C 5.28125 -2.410156 5.375 -2.910156 5.375 -3.484375 Z M 3.421875 -7.078125 Z M 3.421875 -7.078125 "></path>
</g>
<g id="glyph-3-4">
<path d="M 0.546875 -4.28125 L 3.78125 -4.28125 L 3.78125 -3.078125 L 0.546875 -3.078125 Z M 0.546875 -4.28125 "></path>
</g>
<g id="glyph-3-5">
</g>
<g id="glyph-3-6">
<path d="M 3.765625 -0.78125 C 4.304688 -0.78125 4.753906 -1.003906 5.109375 -1.453125 C 5.472656 -1.910156 5.65625 -2.59375 5.65625 -3.5 C 5.65625 -4.039062 5.578125 -4.507812 5.421875 -4.90625 C 5.117188 -5.664062 4.566406 -6.046875 3.765625 -6.046875 C 2.960938 -6.046875 2.410156 -5.644531 2.109375 -4.84375 C 1.953125 -4.414062 1.875 -3.867188 1.875 -3.203125 C 1.875 -2.671875 1.953125 -2.21875 2.109375 -1.84375 C 2.410156 -1.132812 2.960938 -0.78125 3.765625 -0.78125 Z M 0.765625 -6.875 L 1.890625 -6.875 L 1.890625 -5.953125 C 2.117188 -6.265625 2.375 -6.507812 2.65625 -6.6875 C 3.039062 -6.945312 3.5 -7.078125 4.03125 -7.078125 C 4.8125 -7.078125 5.472656 -6.773438 6.015625 -6.171875 C 6.566406 -5.578125 6.84375 -4.722656 6.84375 -3.609375 C 6.84375 -2.097656 6.445312 -1.019531 5.65625 -0.375 C 5.15625 0.03125 4.578125 0.234375 3.921875 0.234375 C 3.398438 0.234375 2.960938 0.117188 2.609375 -0.109375 C 2.398438 -0.234375 2.171875 -0.457031 1.921875 -0.78125 L 1.921875 2.75 L 0.765625 2.75 Z M 0.765625 -6.875 "></path>
</g>
<g id="glyph-3-7">
<path d="M 1.078125 -8.828125 L 2.25 -8.828125 L 2.25 -6.90625 L 3.359375 -6.90625 L 3.359375 -5.953125 L 2.25 -5.953125 L 2.25 -1.453125 C 2.25 -1.210938 2.332031 -1.050781 2.5 -0.96875 C 2.59375 -0.914062 2.742188 -0.890625 2.953125 -0.890625 C 3.003906 -0.890625 3.0625 -0.890625 3.125 -0.890625 C 3.195312 -0.898438 3.273438 -0.910156 3.359375 -0.921875 L 3.359375 0 C 3.222656 0.0390625 3.082031 0.0664062 2.9375 0.078125 C 2.800781 0.0976562 2.644531 0.109375 2.46875 0.109375 C 1.925781 0.109375 1.554688 -0.0234375 1.359375 -0.296875 C 1.171875 -0.578125 1.078125 -0.941406 1.078125 -1.390625 L 1.078125 -5.953125 L 0.140625 -5.953125 L 0.140625 -6.90625 L 1.078125 -6.90625 Z M 1.078125 -8.828125 "></path>
</g>
<g id="glyph-3-8">
<path d="M 1.140625 -7.953125 C 1.160156 -8.429688 1.242188 -8.785156 1.390625 -9.015625 C 1.660156 -9.410156 2.179688 -9.609375 2.953125 -9.609375 C 3.023438 -9.609375 3.097656 -9.601562 3.171875 -9.59375 C 3.253906 -9.59375 3.347656 -9.585938 3.453125 -9.578125 L 3.453125 -8.515625 C 3.328125 -8.523438 3.238281 -8.53125 3.1875 -8.53125 C 3.132812 -8.539062 3.082031 -8.546875 3.03125 -8.546875 C 2.6875 -8.546875 2.476562 -8.453125 2.40625 -8.265625 C 2.332031 -8.085938 2.296875 -7.625 2.296875 -6.875 L 3.453125 -6.875 L 3.453125 -5.953125 L 2.28125 -5.953125 L 2.28125 0 L 1.140625 0 L 1.140625 -5.953125 L 0.1875 -5.953125 L 0.1875 -6.875 L 1.140625 -6.875 Z M 1.140625 -7.953125 "></path>
</g>
<g id="glyph-3-9">
<path d="M 1.421875 -6.90625 L 3.265625 -1.28125 L 5.1875 -6.90625 L 6.453125 -6.90625 L 3.859375 0 L 2.625 0 L 0.078125 -6.90625 Z M 1.421875 -6.90625 "></path>
</g>
<g id="glyph-3-10">
<path d="M 3.71875 -7.0625 C 4.21875 -7.0625 4.695312 -6.945312 5.15625 -6.71875 C 5.613281 -6.488281 5.960938 -6.191406 6.203125 -5.828125 C 6.429688 -5.472656 6.585938 -5.066406 6.671875 -4.609375 C 6.734375 -4.285156 6.765625 -3.773438 6.765625 -3.078125 L 1.703125 -3.078125 C 1.722656 -2.378906 1.890625 -1.816406 2.203125 -1.390625 C 2.515625 -0.972656 2.992188 -0.765625 3.640625 -0.765625 C 4.242188 -0.765625 4.726562 -0.960938 5.09375 -1.359375 C 5.300781 -1.585938 5.445312 -1.859375 5.53125 -2.171875 L 6.671875 -2.171875 C 6.640625 -1.910156 6.539062 -1.625 6.375 -1.3125 C 6.207031 -1 6.015625 -0.742188 5.796875 -0.546875 C 5.453125 -0.203125 5.019531 0.0234375 4.5 0.140625 C 4.21875 0.210938 3.898438 0.25 3.546875 0.25 C 2.679688 0.25 1.953125 -0.0625 1.359375 -0.6875 C 0.765625 -1.3125 0.46875 -2.1875 0.46875 -3.3125 C 0.46875 -4.425781 0.765625 -5.328125 1.359375 -6.015625 C 1.960938 -6.710938 2.75 -7.0625 3.71875 -7.0625 Z M 5.578125 -4 C 5.523438 -4.5 5.414062 -4.898438 5.25 -5.203125 C 4.925781 -5.765625 4.394531 -6.046875 3.65625 -6.046875 C 3.125 -6.046875 2.675781 -5.851562 2.3125 -5.46875 C 1.945312 -5.082031 1.753906 -4.59375 1.734375 -4 Z M 3.609375 -7.078125 Z M 3.609375 -7.078125 "></path>
</g>
<g id="glyph-3-11">
<path d="M 3.515625 -7.109375 C 4.296875 -7.109375 4.925781 -6.914062 5.40625 -6.53125 C 5.894531 -6.15625 6.191406 -5.503906 6.296875 -4.578125 L 5.15625 -4.578125 C 5.09375 -5.003906 4.9375 -5.359375 4.6875 -5.640625 C 4.445312 -5.921875 4.054688 -6.0625 3.515625 -6.0625 C 2.773438 -6.0625 2.242188 -5.703125 1.921875 -4.984375 C 1.722656 -4.515625 1.625 -3.9375 1.625 -3.25 C 1.625 -2.5625 1.769531 -1.976562 2.0625 -1.5 C 2.351562 -1.03125 2.8125 -0.796875 3.4375 -0.796875 C 3.914062 -0.796875 4.296875 -0.941406 4.578125 -1.234375 C 4.859375 -1.523438 5.050781 -1.925781 5.15625 -2.4375 L 6.296875 -2.4375 C 6.160156 -1.519531 5.832031 -0.847656 5.3125 -0.421875 C 4.800781 -0.00390625 4.144531 0.203125 3.34375 0.203125 C 2.4375 0.203125 1.710938 -0.125 1.171875 -0.78125 C 0.640625 -1.445312 0.375 -2.273438 0.375 -3.265625 C 0.375 -4.472656 0.664062 -5.414062 1.25 -6.09375 C 1.84375 -6.769531 2.597656 -7.109375 3.515625 -7.109375 Z M 3.328125 -7.078125 Z M 3.328125 -7.078125 "></path>
</g>
<g id="glyph-3-12">
<path d="M 0.890625 -6.90625 L 1.984375 -6.90625 L 1.984375 -5.71875 C 2.078125 -5.945312 2.296875 -6.226562 2.640625 -6.5625 C 2.992188 -6.894531 3.40625 -7.0625 3.875 -7.0625 C 3.894531 -7.0625 3.929688 -7.054688 3.984375 -7.046875 C 4.035156 -7.046875 4.117188 -7.039062 4.234375 -7.03125 L 4.234375 -5.796875 C 4.171875 -5.816406 4.109375 -5.828125 4.046875 -5.828125 C 3.992188 -5.828125 3.929688 -5.828125 3.859375 -5.828125 C 3.273438 -5.828125 2.828125 -5.640625 2.515625 -5.265625 C 2.203125 -4.890625 2.046875 -4.457031 2.046875 -3.96875 L 2.046875 0 L 0.890625 0 Z M 0.890625 -6.90625 "></path>
</g>
<g id="glyph-3-13">
<path d="M 1.546875 -2.171875 C 1.578125 -1.773438 1.671875 -1.476562 1.828125 -1.28125 C 2.117188 -0.90625 2.628906 -0.71875 3.359375 -0.71875 C 3.785156 -0.71875 4.160156 -0.8125 4.484375 -1 C 4.816406 -1.1875 4.984375 -1.472656 4.984375 -1.859375 C 4.984375 -2.160156 4.847656 -2.390625 4.578125 -2.546875 C 4.410156 -2.640625 4.082031 -2.75 3.59375 -2.875 L 2.671875 -3.09375 C 2.078125 -3.238281 1.640625 -3.40625 1.359375 -3.59375 C 0.867188 -3.90625 0.625 -4.335938 0.625 -4.890625 C 0.625 -5.546875 0.859375 -6.070312 1.328125 -6.46875 C 1.796875 -6.875 2.425781 -7.078125 3.21875 -7.078125 C 4.257812 -7.078125 5.007812 -6.773438 5.46875 -6.171875 C 5.757812 -5.785156 5.898438 -5.367188 5.890625 -4.921875 L 4.796875 -4.921875 C 4.773438 -5.179688 4.679688 -5.421875 4.515625 -5.640625 C 4.253906 -5.941406 3.796875 -6.09375 3.140625 -6.09375 C 2.691406 -6.09375 2.351562 -6.007812 2.125 -5.84375 C 1.90625 -5.675781 1.796875 -5.453125 1.796875 -5.171875 C 1.796875 -4.867188 1.945312 -4.628906 2.25 -4.453125 C 2.414062 -4.347656 2.664062 -4.253906 3 -4.171875 L 3.765625 -3.984375 C 4.597656 -3.785156 5.160156 -3.585938 5.453125 -3.390625 C 5.898438 -3.097656 6.125 -2.632812 6.125 -2 C 6.125 -1.382812 5.890625 -0.851562 5.421875 -0.40625 C 4.953125 0.0390625 4.242188 0.265625 3.296875 0.265625 C 2.265625 0.265625 1.535156 0.03125 1.109375 -0.4375 C 0.679688 -0.90625 0.453125 -1.484375 0.421875 -2.171875 Z M 3.25 -7.078125 Z M 3.25 -7.078125 "></path>
</g>
<g id="glyph-3-14">
<path d="M 0.84375 -6.875 L 2.03125 -6.875 L 2.03125 0 L 0.84375 0 Z M 0.84375 -9.46875 L 2.03125 -9.46875 L 2.03125 -8.15625 L 0.84375 -8.15625 Z M 0.84375 -9.46875 "></path>
</g>
<g id="glyph-3-15">
<path d="M 0.328125 -0.921875 L 4.421875 -5.859375 L 0.640625 -5.859375 L 0.640625 -6.90625 L 5.984375 -6.90625 L 5.984375 -5.953125 L 1.921875 -1.03125 L 6.109375 -1.03125 L 6.109375 0 L 0.328125 0 Z M 3.3125 -7.078125 Z M 3.3125 -7.078125 "></path>
</g>
<g id="glyph-3-16">
<path d="M 0.84375 -6.90625 L 1.953125 -6.90625 L 1.953125 -5.921875 C 2.273438 -6.328125 2.617188 -6.617188 2.984375 -6.796875 C 3.359375 -6.972656 3.765625 -7.0625 4.203125 -7.0625 C 5.179688 -7.0625 5.847656 -6.71875 6.203125 -6.03125 C 6.390625 -5.65625 6.484375 -5.117188 6.484375 -4.421875 L 6.484375 0 L 5.296875 0 L 5.296875 -4.359375 C 5.296875 -4.773438 5.234375 -5.113281 5.109375 -5.375 C 4.898438 -5.800781 4.523438 -6.015625 3.984375 -6.015625 C 3.710938 -6.015625 3.488281 -5.988281 3.3125 -5.9375 C 3 -5.84375 2.71875 -5.648438 2.46875 -5.359375 C 2.28125 -5.128906 2.15625 -4.894531 2.09375 -4.65625 C 2.039062 -4.414062 2.015625 -4.066406 2.015625 -3.609375 L 2.015625 0 L 0.84375 0 Z M 3.578125 -7.078125 Z M 3.578125 -7.078125 "></path>
</g>
<g id="glyph-3-17">
<path d="M 2.015625 -6.90625 L 2.015625 -2.328125 C 2.015625 -1.972656 2.066406 -1.679688 2.171875 -1.453125 C 2.378906 -1.046875 2.765625 -0.84375 3.328125 -0.84375 C 4.140625 -0.84375 4.691406 -1.203125 4.984375 -1.921875 C 5.140625 -2.304688 5.21875 -2.835938 5.21875 -3.515625 L 5.21875 -6.90625 L 6.375 -6.90625 L 6.375 0 L 5.28125 0 L 5.296875 -1.015625 C 5.148438 -0.753906 4.960938 -0.535156 4.734375 -0.359375 C 4.296875 0.00390625 3.757812 0.1875 3.125 0.1875 C 2.144531 0.1875 1.472656 -0.140625 1.109375 -0.796875 C 0.921875 -1.148438 0.828125 -1.625 0.828125 -2.21875 L 0.828125 -6.90625 Z M 3.609375 -7.078125 Z M 3.609375 -7.078125 "></path>
</g>
<g id="glyph-3-18">
<path d="M 0.84375 -6.90625 L 2 -6.90625 L 2 -5.921875 C 2.269531 -6.265625 2.519531 -6.515625 2.75 -6.671875 C 3.125 -6.929688 3.554688 -7.0625 4.046875 -7.0625 C 4.597656 -7.0625 5.039062 -6.925781 5.375 -6.65625 C 5.5625 -6.5 5.734375 -6.269531 5.890625 -5.96875 C 6.148438 -6.34375 6.453125 -6.617188 6.796875 -6.796875 C 7.148438 -6.972656 7.539062 -7.0625 7.96875 -7.0625 C 8.90625 -7.0625 9.539062 -6.722656 9.875 -6.046875 C 10.050781 -5.691406 10.140625 -5.207031 10.140625 -4.59375 L 10.140625 0 L 8.9375 0 L 8.9375 -4.796875 C 8.9375 -5.253906 8.820312 -5.566406 8.59375 -5.734375 C 8.363281 -5.910156 8.082031 -6 7.75 -6 C 7.289062 -6 6.894531 -5.847656 6.5625 -5.546875 C 6.238281 -5.242188 6.078125 -4.734375 6.078125 -4.015625 L 6.078125 0 L 4.90625 0 L 4.90625 -4.5 C 4.90625 -4.96875 4.847656 -5.3125 4.734375 -5.53125 C 4.554688 -5.851562 4.226562 -6.015625 3.75 -6.015625 C 3.3125 -6.015625 2.910156 -5.84375 2.546875 -5.5 C 2.191406 -5.164062 2.015625 -4.550781 2.015625 -3.65625 L 2.015625 0 L 0.84375 0 Z M 0.84375 -6.90625 "></path>
</g>
</g>
<clipPath id="clip-0">
<path clip-rule="nonzero" d="M 0 49.789062 L 216 49.789062 L 216 166.207031 L 0 166.207031 Z M 0 49.789062 "></path>
</clipPath>
<clipPath id="clip-1">
<path clip-rule="nonzero" d="M 36.410156 73.75 L 141.84375 73.75 L 141.84375 143.050781 L 36.410156 143.050781 Z M 36.410156 73.75 "></path>
</clipPath>
<clipPath id="clip-2">
<path clip-rule="nonzero" d="M 36.410156 131 L 141.84375 131 L 141.84375 133 L 36.410156 133 Z M 36.410156 131 "></path>
</clipPath>
<clipPath id="clip-3">
<path clip-rule="nonzero" d="M 36.410156 117 L 141.84375 117 L 141.84375 119 L 36.410156 119 Z M 36.410156 117 "></path>
</clipPath>
<clipPath id="clip-4">
<path clip-rule="nonzero" d="M 36.410156 104 L 141.84375 104 L 141.84375 106 L 36.410156 106 Z M 36.410156 104 "></path>
</clipPath>
<clipPath id="clip-5">
<path clip-rule="nonzero" d="M 36.410156 90 L 141.84375 90 L 141.84375 92 L 36.410156 92 Z M 36.410156 90 "></path>
</clipPath>
<clipPath id="clip-6">
<path clip-rule="nonzero" d="M 36.410156 76 L 141.84375 76 L 141.84375 78 L 36.410156 78 Z M 36.410156 76 "></path>
</clipPath>
<clipPath id="clip-7">
<path clip-rule="nonzero" d="M 40 73.75 L 42 73.75 L 42 143.050781 L 40 143.050781 Z M 40 73.75 "></path>
</clipPath>
<clipPath id="clip-8">
<path clip-rule="nonzero" d="M 68 73.75 L 70 73.75 L 70 143.050781 L 68 143.050781 Z M 68 73.75 "></path>
</clipPath>
<clipPath id="clip-9">
<path clip-rule="nonzero" d="M 95 73.75 L 97 73.75 L 97 143.050781 L 95 143.050781 Z M 95 73.75 "></path>
</clipPath>
<clipPath id="clip-10">
<path clip-rule="nonzero" d="M 122 73.75 L 124 73.75 L 124 143.050781 L 122 143.050781 Z M 122 73.75 "></path>
</clipPath>
</defs>
<rect x="-21.6" y="-21.6" width="259.2" height="259.2" fill="rgb(100%, 100%, 100%)" fill-opacity="1"></rect>
<g clip-path="url(#clip-0)">
<path fill-rule="nonzero" fill="rgb(100%, 100%, 100%)" fill-opacity="1" stroke-width="1.066978" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 0 166.210938 L 216 166.210938 L 216 49.792969 L 0 49.792969 Z M 0 166.210938 "></path>
</g>
<g clip-path="url(#clip-1)">
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 36.410156 143.046875 L 141.84375 143.046875 L 141.84375 73.746094 L 36.410156 73.746094 Z M 36.410156 143.046875 "></path>
</g>
<g clip-path="url(#clip-2)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 36.410156 131.988281 L 141.84375 131.988281 "></path>
</g>
<g clip-path="url(#clip-3)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 36.410156 118.296875 L 141.84375 118.296875 "></path>
</g>
<g clip-path="url(#clip-4)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 36.410156 104.601562 L 141.84375 104.601562 "></path>
</g>
<g clip-path="url(#clip-5)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 36.410156 90.910156 L 141.84375 90.910156 "></path>
</g>
<g clip-path="url(#clip-6)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 36.410156 77.21875 L 141.84375 77.21875 "></path>
</g>
<g clip-path="url(#clip-7)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 41.203125 143.046875 L 41.203125 73.75 "></path>
</g>
<g clip-path="url(#clip-8)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 68.589844 143.046875 L 68.589844 73.75 "></path>
</g>
<g clip-path="url(#clip-9)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 95.972656 143.046875 L 95.972656 73.75 "></path>
</g>
<g clip-path="url(#clip-10)">
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 123.359375 143.046875 L 123.359375 73.75 "></path>
</g>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 43.15625 138.582031 C 43.15625 141.1875 39.25 141.1875 39.25 138.582031 C 39.25 135.976562 43.15625 135.976562 43.15625 138.582031 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 56.851562 134.976562 C 56.851562 137.582031 52.941406 137.582031 52.941406 134.976562 C 52.941406 132.367188 56.851562 132.367188 56.851562 134.976562 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 70.542969 132.960938 C 70.542969 135.566406 66.632812 135.566406 66.632812 132.960938 C 66.632812 130.351562 70.542969 130.351562 70.542969 132.960938 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 84.234375 129.910156 C 84.234375 132.515625 80.324219 132.515625 80.324219 129.910156 C 80.324219 127.304688 84.234375 127.304688 84.234375 129.910156 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 97.929688 120.972656 C 97.929688 123.578125 94.019531 123.578125 94.019531 120.972656 C 94.019531 118.363281 97.929688 118.363281 97.929688 120.972656 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 111.621094 109.441406 C 111.621094 112.046875 107.710938 112.046875 107.710938 109.441406 C 107.710938 106.832031 111.621094 106.832031 111.621094 109.441406 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 125.3125 96.371094 C 125.3125 98.980469 121.402344 98.980469 121.402344 96.371094 C 121.402344 93.765625 125.3125 93.765625 125.3125 96.371094 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 139.003906 76.898438 C 139.003906 79.503906 135.097656 79.503906 135.097656 76.898438 C 135.097656 74.292969 139.003906 74.292969 139.003906 76.898438 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 43.15625 139.898438 C 43.15625 142.503906 39.25 142.503906 39.25 139.898438 C 39.25 137.292969 43.15625 137.292969 43.15625 139.898438 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 56.851562 138.886719 C 56.851562 141.492188 52.941406 141.492188 52.941406 138.886719 C 52.941406 136.28125 56.851562 136.28125 56.851562 138.886719 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 70.542969 130.042969 C 70.542969 132.652344 66.632812 132.652344 66.632812 130.042969 C 66.632812 127.4375 70.542969 127.4375 70.542969 130.042969 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 84.234375 109.472656 C 84.234375 112.082031 80.324219 112.082031 80.324219 109.472656 C 80.324219 106.867188 84.234375 106.867188 84.234375 109.472656 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 97.929688 80.867188 C 97.929688 83.472656 94.019531 83.472656 94.019531 80.867188 C 94.019531 78.261719 97.929688 78.261719 97.929688 80.867188 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 41.203125 138.582031 L 54.894531 134.976562 L 68.589844 132.960938 L 82.28125 129.910156 L 95.972656 120.972656 L 109.664062 109.441406 L 123.359375 96.371094 L 137.050781 76.898438 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 41.203125 139.898438 L 54.894531 138.886719 L 68.589844 130.042969 L 82.28125 109.472656 L 95.972656 80.867188 "></path>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="12.480469" y="135.264648" />
<use xlink:href="#glyph-0-2" x="17.480469" y="135.264648" />
<use xlink:href="#glyph-0-3" x="22.480469" y="135.264648" />
<use xlink:href="#glyph-0-4" x="27.480469" y="135.264648" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="7.480469" y="121.573242" />
<use xlink:href="#glyph-0-2" x="12.480469" y="121.573242" />
<use xlink:href="#glyph-0-2" x="17.480469" y="121.573242" />
<use xlink:href="#glyph-0-3" x="22.480469" y="121.573242" />
<use xlink:href="#glyph-0-4" x="27.480469" y="121.573242" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="15.480469" y="107.87793" />
<use xlink:href="#glyph-0-5" x="20.480469" y="107.87793" />
<use xlink:href="#glyph-0-4" x="27.480469" y="107.87793" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="10.480469" y="94.186523" />
<use xlink:href="#glyph-0-2" x="15.480469" y="94.186523" />
<use xlink:href="#glyph-0-5" x="20.480469" y="94.186523" />
<use xlink:href="#glyph-0-4" x="27.480469" y="94.186523" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="5.480469" y="80.495117" />
<use xlink:href="#glyph-0-2" x="10.480469" y="80.495117" />
<use xlink:href="#glyph-0-2" x="15.480469" y="80.495117" />
<use xlink:href="#glyph-0-5" x="20.480469" y="80.495117" />
<use xlink:href="#glyph-0-4" x="27.480469" y="80.495117" />
</g>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 33.671875 131.988281 L 36.410156 131.988281 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 33.671875 118.296875 L 36.410156 118.296875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 33.671875 104.601562 L 36.410156 104.601562 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 33.671875 90.910156 L 36.410156 90.910156 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 33.671875 77.21875 L 36.410156 77.21875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 41.203125 145.789062 L 41.203125 143.046875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 68.589844 145.789062 L 68.589844 143.046875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 95.972656 145.789062 L 95.972656 143.046875 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(20%, 20%, 20%)" stroke-opacity="1" stroke-miterlimit="10" d="M 123.359375 145.789062 L 123.359375 143.046875 "></path>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="34.703125" y="157.506836" />
<use xlink:href="#glyph-0-2" x="39.703125" y="157.506836" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-1-1" x="44.703125" y="152.723633" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="62.089844" y="157.506836" />
<use xlink:href="#glyph-0-2" x="67.089844" y="157.506836" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-1-2" x="72.089844" y="152.723633" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="89.472656" y="157.506836" />
<use xlink:href="#glyph-0-2" x="94.472656" y="157.506836" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-1-3" x="99.472656" y="152.723633" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-0-1" x="116.859375" y="157.506836" />
<use xlink:href="#glyph-0-2" x="121.859375" y="157.506836" />
</g>
<g fill="rgb(30.196078%, 30.196078%, 30.196078%)" fill-opacity="1">
<use xlink:href="#glyph-1-4" x="126.859375" y="152.723633" />
</g>
<path fill-rule="nonzero" fill="rgb(100%, 100%, 100%)" fill-opacity="1" d="M 152.800781 139.398438 L 210.519531 139.398438 L 210.519531 77.398438 L 152.800781 77.398438 Z M 152.800781 139.398438 "></path>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-2-1" x="158.28125" y="91.849609" />
<use xlink:href="#glyph-2-2" x="164.28125" y="91.849609" />
<use xlink:href="#glyph-2-3" x="170.28125" y="91.849609" />
</g>
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 158.28125 116.640625 L 175.5625 116.640625 L 175.5625 99.359375 L 158.28125 99.359375 Z M 158.28125 116.640625 "></path>
<path fill-rule="nonzero" fill="rgb(97.254902%, 46.27451%, 42.745098%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 168.875 108 C 168.875 110.605469 164.96875 110.605469 164.96875 108 C 164.96875 105.390625 168.875 105.390625 168.875 108 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(97.254902%, 46.27451%, 42.745098%)" stroke-opacity="1" stroke-miterlimit="10" d="M 160.007812 108 L 173.832031 108 "></path>
<path fill-rule="nonzero" fill="rgb(92.156863%, 92.156863%, 92.156863%)" fill-opacity="1" d="M 158.28125 133.917969 L 175.5625 133.917969 L 175.5625 116.636719 L 158.28125 116.636719 Z M 158.28125 133.917969 "></path>
<path fill-rule="nonzero" fill="rgb(0%, 74.901961%, 76.862745%)" fill-opacity="1" stroke-width="0.708661" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 168.875 125.277344 C 168.875 127.886719 164.96875 127.886719 164.96875 125.277344 C 164.96875 122.671875 168.875 122.671875 168.875 125.277344 "></path>
<path fill="none" stroke-width="1.066978" stroke-linecap="butt" stroke-linejoin="round" stroke="rgb(0%, 74.901961%, 76.862745%)" stroke-opacity="1" stroke-miterlimit="10" d="M 160.007812 125.277344 L 173.832031 125.277344 "></path>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-0-6" x="181.042969" y="111.276367" />
<use xlink:href="#glyph-0-7" x="185.042969" y="111.276367" />
<use xlink:href="#glyph-0-7" x="190.042969" y="111.276367" />
<use xlink:href="#glyph-0-1" x="195.042969" y="111.276367" />
<use xlink:href="#glyph-0-1" x="200.042969" y="111.276367" />
</g>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-0-8" x="181.042969" y="128.553711" />
<use xlink:href="#glyph-0-6" x="184.042969" y="128.553711" />
<use xlink:href="#glyph-0-7" x="188.042969" y="128.553711" />
<use xlink:href="#glyph-0-7" x="193.042969" y="128.553711" />
</g>
<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
<use xlink:href="#glyph-3-1" x="36.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="39.410156" y="64.433594" />
<use xlink:href="#glyph-3-3" x="46.410156" y="64.433594" />
<use xlink:href="#glyph-3-4" x="53.410156" y="64.433594" />
<use xlink:href="#glyph-3-1" x="57.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="60.410156" y="64.433594" />
<use xlink:href="#glyph-3-3" x="67.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="74.410156" y="64.433594" />
<use xlink:href="#glyph-3-6" x="78.410156" y="64.433594" />
<use xlink:href="#glyph-3-1" x="85.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="88.410156" y="64.433594" />
<use xlink:href="#glyph-3-7" x="95.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="99.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="103.410156" y="64.433594" />
<use xlink:href="#glyph-3-8" x="110.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="114.410156" y="64.433594" />
<use xlink:href="#glyph-3-9" x="118.410156" y="64.433594" />
<use xlink:href="#glyph-3-10" x="125.410156" y="64.433594" />
<use xlink:href="#glyph-3-11" x="132.410156" y="64.433594" />
<use xlink:href="#glyph-3-7" x="139.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="143.410156" y="64.433594" />
<use xlink:href="#glyph-3-12" x="150.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="154.410156" y="64.433594" />
<use xlink:href="#glyph-3-13" x="158.410156" y="64.433594" />
<use xlink:href="#glyph-3-14" x="165.410156" y="64.433594" />
<use xlink:href="#glyph-3-15" x="168.410156" y="64.433594" />
<use xlink:href="#glyph-3-10" x="175.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="182.410156" y="64.433594" />
<use xlink:href="#glyph-3-9" x="186.410156" y="64.433594" />
<use xlink:href="#glyph-3-13" x="193.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="200.410156" y="64.433594" />
<use xlink:href="#glyph-3-11" x="204.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="211.410156" y="64.433594" />
<use xlink:href="#glyph-3-16" x="218.410156" y="64.433594" />
<use xlink:href="#glyph-3-13" x="225.410156" y="64.433594" />
<use xlink:href="#glyph-3-7" x="232.410156" y="64.433594" />
<use xlink:href="#glyph-3-12" x="236.410156" y="64.433594" />
<use xlink:href="#glyph-3-17" x="240.410156" y="64.433594" />
<use xlink:href="#glyph-3-11" x="247.410156" y="64.433594" />
<use xlink:href="#glyph-3-7" x="254.410156" y="64.433594" />
<use xlink:href="#glyph-3-14" x="258.410156" y="64.433594" />
<use xlink:href="#glyph-3-2" x="261.410156" y="64.433594" />
<use xlink:href="#glyph-3-16" x="268.410156" y="64.433594" />
<use xlink:href="#glyph-3-5" x="275.410156" y="64.433594" />
<use xlink:href="#glyph-3-7" x="279.410156" y="64.433594" />
<use xlink:href="#glyph-3-14" x="283.410156" y="64.433594" />
<use xlink:href="#glyph-3-18" x="286.410156" y="64.433594" />
<use xlink:href="#glyph-3-10" x="297.410156" y="64.433594" />
</g>
</svg><!-- --></p>
<table>
<thead>
<tr class="header">
<th align="right">len</th>
<th align="left">pkg</th>
<th align="right">min</th>
<th align="right">mem_alloc</th>
<th align="right">n_itr</th>
<th align="right">n_gc</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="right">1e+00</td>
<td align="left">cpp11</td>
<td align="right">3.3µs</td>
<td align="right">0B</td>
<td align="right">10000</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="right">1e+01</td>
<td align="left">cpp11</td>
<td align="right">6.05µs</td>
<td align="right">0B</td>
<td align="right">9999</td>
<td align="right">1</td>
</tr>
<tr class="odd">
<td align="right">1e+02</td>
<td align="left">cpp11</td>
<td align="right">8.49µs</td>
<td align="right">1.89KB</td>
<td align="right">10000</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="right">1e+03</td>
<td align="left">cpp11</td>
<td align="right">14.18µs</td>
<td align="right">16.03KB</td>
<td align="right">9999</td>
<td align="right">1</td>
</tr>
<tr class="odd">
<td align="right">1e+04</td>
<td align="left">cpp11</td>
<td align="right">63.77µs</td>
<td align="right">256.22KB</td>
<td align="right">3477</td>
<td align="right">2</td>
</tr>
<tr class="even">
<td align="right">1e+05</td>
<td align="left">cpp11</td>
<td align="right">443.32µs</td>
<td align="right">2MB</td>
<td align="right">404</td>
<td align="right">5</td>
</tr>
<tr class="odd">
<td align="right">1e+06</td>
<td align="left">cpp11</td>
<td align="right">3.99ms</td>
<td align="right">16MB</td>
<td align="right">70</td>
<td align="right">3</td>
</tr>
<tr class="even">
<td align="right">1e+07</td>
<td align="left">cpp11</td>
<td align="right">105.51ms</td>
<td align="right">256MB</td>
<td align="right">1</td>
<td align="right">5</td>
</tr>
<tr class="odd">
<td align="right">1e+00</td>
<td align="left">rcpp</td>
<td align="right">2.64µs</td>
<td align="right">0B</td>
<td align="right">10000</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="right">1e+01</td>
<td align="left">rcpp</td>
<td align="right">3.13µs</td>
<td align="right">0B</td>
<td align="right">9999</td>
<td align="right">1</td>
</tr>
<tr class="odd">
<td align="right">1e+02</td>
<td align="left">rcpp</td>
<td align="right">13.87µs</td>
<td align="right">42.33KB</td>
<td align="right">9997</td>
<td align="right">3</td>
</tr>
<tr class="even">
<td align="right">1e+03</td>
<td align="left">rcpp</td>
<td align="right">440.77µs</td>
<td align="right">3.86MB</td>
<td align="right">319</td>
<td align="right">1</td>
</tr>
<tr class="odd">
<td align="right">1e+04</td>
<td align="left">rcpp</td>
<td align="right">54.13ms</td>
<td align="right">381.96MB</td>
<td align="right">2</td>
<td align="right">2</td>
</tr>
</tbody>
</table>
</div>
<div id="conclusion" class="section level2">
<h2>Conclusion</h2>
<p>Rcpp has been and will continue to be widely successful. cpp11 is a
alternative implementation of C++ bindings to R that chooses different
design trade-offs and features. Both packages can co-exist (even be used
in the same package!) and continue to enrich the R community.</p>
</div>
</div>
<!-- code folding -->
<!-- dynamically load mathjax for compatibility with self-contained -->
<script>
(function () {
var script = document.createElement("script");
script.type = "text/javascript";
script.src = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
document.getElementsByTagName("head")[0].appendChild(script);
})();
</script>
</body>
</html>
|