Make qsort input size more reasonable

diff --git a/benchmarks/qsort/dataset1.h b/benchmarks/qsort/dataset1.h
index be550c238ca73b90fce4431d568769f24362a073..25e8231d3bbd679225548b1ad84f282d6a581f2a 100644 (file)
--- a/benchmarks/qsort/dataset1.h
+++ b/benchmarks/qsort/dataset1.h
@@ -1,5 +1,5 @@
 
 

-#define DATA_SIZE 16384 
+#define DATA_SIZE 2048 

 
 type input_data[DATA_SIZE] = 
 {
 
 type input_data[DATA_SIZE] = 
 {


@@ -105,1547 +105,113 @@ type input_data[DATA_SIZE] =
   1387039848, 874153641, 1345378476, 1168465459, 2005021017, 234039217, 473318229, 654912216, 1473166451, 997649666, 801824335, 2052343947, 1883168929, 185658088, 1389954587, 1725541486, 885873448, 958774566, 2054212564, 60536525, 
   1427504270, 1160285859, 1827651881, 1408805003, 1684018729, 61716770, 844057079, 1011596733, 1521350211, 1581801257, 907554175, 2022973269, 1125104871, 1312064004, 1466679625, 970194422, 80900939, 1445279202, 335456148, 510478312, 
   92860378, 1646704157, 1650899832, 1533447203, 268087516, 880688023, 1180525723, 1868151949, 1750955971, 401446720, 540093580, 1022861633, 461442838, 1222554291, 456462271, 94760711, 1231111410, 2145073408, 1932108837, 300618464, 
   1387039848, 874153641, 1345378476, 1168465459, 2005021017, 234039217, 473318229, 654912216, 1473166451, 997649666, 801824335, 2052343947, 1883168929, 185658088, 1389954587, 1725541486, 885873448, 958774566, 2054212564, 60536525, 
   1427504270, 1160285859, 1827651881, 1408805003, 1684018729, 61716770, 844057079, 1011596733, 1521350211, 1581801257, 907554175, 2022973269, 1125104871, 1312064004, 1466679625, 970194422, 80900939, 1445279202, 335456148, 510478312, 
   92860378, 1646704157, 1650899832, 1533447203, 268087516, 880688023, 1180525723, 1868151949, 1750955971, 401446720, 540093580, 1022861633, 461442838, 1222554291, 456462271, 94760711, 1231111410, 2145073408, 1932108837, 300618464, 

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-  583749744, 857758561, 2090555048, 2042942493, 1751428368, 235572413, 1772949535, 1280936077, 260461114, 1840920910, 1001007214, 1110408058, 1007081969, 1017634257, 1357101600, 1704839257, 606171549, 1583023839, 896080038, 1523841135, 
-  678128493, 2102818588, 506370251, 1139997381, 1347501156, 902122868, 637413070, 1179674937, 1080103175, 1837436280, 60613666, 396872879, 1436664481, 1690602477, 701146813, 491172452, 1243060017, 1588453729, 1895027743, 570131555, 
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-  263592963, 70614090, 2057275733, 1389529781, 619800681, 967578772, 1299540150, 347005711, 275881282, 1892980653, 234361772, 474478952, 376995642, 1759066277, 1269019896, 915671700, 888730816, 466609705, 745073268, 442070146, 
-  537123729, 136524354, 1365753505, 1845713099, 1106799840, 31634497, 1718772205, 1647089259, 1897822751, 1313105590, 2020605316, 807103629, 338390125, 259433372, 1906547152, 2071672958, 370643100, 2113568915, 2095100558, 1623646404, 
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-  776372596, 362349762, 137921313, 855354936, 1996190843, 1211009655, 1966226359, 722339588, 1153142928, 1028633336, 524437653, 552626996, 569203840, 1026329642, 1891481808, 838613650, 1377088097, 1506944631, 448638813, 706091826, 
-  650388897, 953680658, 635347235, 1121896055, 1748664235, 1965483095, 1232542395, 253908303, 743644467, 1129906770, 2073225158, 1092279678, 1037211166, 66176343, 1303582188, 894849560, 218479122, 153831631, 262204781, 199014665, 
-  935299989, 611977234, 975804773, 347269070, 44270564, 776681326, 150591905, 891754822, 49547603, 1728604999, 548190232, 1805110947, 594649691, 1261653849, 1914035207, 79334779, 919998277, 529944602, 1165997229, 1861168378, 
-  1337922674, 2050177082, 1503614368, 788890682, 1661951812, 1726407756, 637763275, 287730604, 596152237, 1137266302, 224520709, 493757357, 172494930, 994268292, 1358796878, 559239741, 1753286490, 80198036, 1829927080, 510061003, 
-  1575504345, 523437706, 845046416, 1863609129, 1634458580, 422447659, 270859800, 1356797088, 362686194, 648600454, 1812714401, 1319350301, 408269246, 717250678, 1267031354, 532664969, 2013577625, 423524933, 550867857, 1277328950, 
-  500756802, 2055543402, 162009235, 658979445, 409560571, 708223348, 911704483, 330945092, 1614474584, 1483868671, 1627898746, 1731333156, 1884024233, 1159692770, 103784857, 263834890, 1842262786, 1018311531, 1657066343, 835008619, 
-  1373061860, 269361346, 1049391341, 2093711225, 380272778, 437064554, 1018935594, 1491612014, 992938961, 176931302, 1303946258, 930610940, 1985799364, 152595832, 481834, 799081188, 1359969732, 443439621, 602491833, 1298514343, 
-  1995343440, 1476239891, 646201771, 258159191, 970741879, 1710557428, 1513316872, 1741505158, 1528664791, 1522240766, 1334428171, 767715168, 953944401, 211917809, 1697497058, 1942351317, 1314903627, 200141689, 497942018, 809098222, 
-  1140586145, 644356051, 1701083683, 2905410, 1574468137, 641944202, 621402591, 282694784, 1562047201, 1793936218, 1734518499, 537046059, 370044088, 1525316918, 1930548431, 264921190, 980867061, 11364710, 2025294512, 994872293, 
-  1305505864, 694196935, 1723386391, 448373251, 1081756267, 906210102, 1593585109, 394723315, 1733546612, 556303624, 1362205270, 1147002637, 2043126971, 1277950640, 2038323608, 66968138, 87739235, 2115303043, 759479494, 459610315, 
-  419302023, 108504217, 1708522869, 2103398291, 1506772225, 468588746, 617527418, 1765665877, 576037849, 1577980631, 1665793125, 1192156008, 1398852168, 777757355, 429688223, 508328664, 567279721, 213028535, 680092188, 1742236822, 
-  2035113595, 2115796601, 2021316284, 1916541391, 1297720021, 388500257, 1792933956, 717543770, 1374354534, 615839818, 1122847219, 71224138, 551138280, 434894565, 899511236, 1005624227, 571866529, 1541174323, 1973584447, 271285802, 
-  1691147733, 1495340784, 1681756669, 879088982, 1138141644, 1981000845, 1062873271, 445388386, 648564604, 1990420630, 420560393, 1729797252, 841559506, 2045540403, 1569838535, 1187790135, 1960961953, 928910282, 1716692475, 72650677, 
-  1016412968, 564926657, 1777197690, 1608120705, 790267962, 1797010785, 247457828, 802337312, 501370636, 756093142, 1827873204, 1957236711, 1837601183, 1479420243, 1185882185, 1899925487, 1842717127, 52789843, 675709298, 1193945894, 
-  1767409112, 2119908601, 907992303, 1971694208, 377929198, 371659929, 1011323915, 761711691, 1786106837, 448389455, 669514898, 1792814239, 444055451, 1403871949, 310051184, 1771242227, 227920560, 270972211, 1372975847, 1481238221, 
-  289291190, 660075031, 1339678828, 1728441745, 944026858, 909352868, 1963619871, 750949243, 1294585647, 913092574, 2142959589, 925499816, 1193089972, 310899203, 1035047973, 1625973582, 485840450, 2129655820, 699066395, 446045197, 
-  1829581348, 650809940, 1152069596, 1774702940, 288345012, 1826562897, 438844391, 1470126374, 1495689341, 1196371325, 1701766755, 1640218478, 363450386, 1146527064, 1339580923, 417051949, 185870187, 1558147462, 1041194066, 947444284, 
-  198498550, 1871479571, 1013616165, 185693293, 1157018434, 102322136, 652342013, 1760773555, 1671497795, 1403570421, 1509786253, 1936151425, 1140799299, 1123764093, 988800429, 690065714, 1963371365, 1201924402, 2071806195, 2072215451, 
-  1472854231, 794277734, 703975148, 1012396999, 352871061, 611654144, 940418036, 2057262780, 320058068, 1325938847, 5674424, 233230455, 228257809, 637078488, 1597431876, 261746678, 654776502, 282722460, 1493615306, 2011529842, 
-  1082109797, 2014982068, 86568436, 1899719597, 83853797, 1934379886, 152387035, 494039394, 1371452581, 1407419731, 1812650410, 1861880793, 557694194, 542756366, 1142321876, 113864093, 1057854386, 2085024112, 1491795436, 900863045, 
-  598477531, 1671835793, 2086068001, 951145582, 1175441267, 981474319, 1082467415, 148992713, 2054046275, 277385331, 1499072227, 1340210256, 1811804443, 773641904, 699633379, 1108881300, 479926973, 1133251276, 181064247, 1008953649, 
-  1574979431, 1557400217, 687859999, 225355108, 1511759872, 1696550556, 2107789937, 235358387, 959073758, 1785999119, 1919492471, 49447370, 1481493810, 1900820226, 216657765, 1698543206, 421772305, 1095911325, 739453555, 1780190570, 
-  1369919519, 1248882048, 790494362, 1822836751, 103562459, 935488075, 1849009134, 628702265, 1496675456, 1125127225, 1557509782, 1952342500, 411487647, 1732431335, 842951781, 2045380029, 1098331959, 352024627, 2096474135, 556651213, 
-  1224328589, 1981964351, 1555896873, 500008272, 1487831439, 706792341, 106002262, 1406318756, 103843039, 76276837, 189553834, 969040477, 1936034941, 1837295593, 1044519747, 1506651253, 913034262, 1107204329, 1632519595, 1168179361, 
-  948268003, 1357781082, 123041998, 745486014, 1370340159, 1750951458, 871398034, 1904474218, 1358610890, 1310977015, 316434458, 2047314863, 959346995, 1977455717, 797789591, 332355291, 2139462052, 1750536174, 2075926983, 1882820459, 
-  1569096400, 2134772299, 1579073296, 1648862757, 1005677458, 351285713, 1485313075, 1032987205, 630956610, 1473254127, 1477994157, 225033680, 932333465, 2025122259, 780738736, 61125892, 1560120894, 351972398, 1587365048, 710171375, 
-  797190381, 277458188, 1593262284, 2047747358, 956248387, 520183013, 665221971, 817135727, 600404264, 724027313, 726307728, 1306452224, 1081710809, 284660533, 1112534971, 793091912, 1896188816, 188768093, 1160303293, 1477268548, 
-  314936531, 501844673, 723506057, 982943433, 1697691734, 530939210, 169095186, 414292985, 790154894, 157530862, 1841173996, 2128878800, 910294996, 2033328278, 178297475, 2079032029, 1981022257, 2107755808, 187743474, 1190845967, 
-  1147948492, 71981186, 1351904129, 1215546790, 737031149, 701373188, 1230120638, 925902408, 1210823853, 233596591, 2130279478, 922328885, 1112220476, 383431874, 299250385, 1822703761, 1996478670, 1114368351, 1656988359, 344825057, 
-  627641892, 161279814, 483611459, 639516561, 1213236147, 504368569, 1515296658, 2038086321, 821248627, 351566463, 1281656327, 351444416, 1452891973, 904776197, 497894000, 151963553, 1298549505, 786890655, 1553544748, 1904584106, 
-  1603918108, 1366761451, 1762684913, 1576210907, 127059699, 800671574, 1552418073, 1880793644, 551955895, 56125113, 1456664228, 970349311, 946596084, 439281691, 1257864142, 935384757, 1020697534, 1247583641, 1434915918, 1179194461, 
-  200187515, 1748597859, 717202472, 105856903, 1987166024, 1093780958, 447327023, 801956661, 1653497609, 1468031207, 1886358043, 964696562, 1770984721, 101074232, 971654979, 590900477, 691315562, 1430911714, 1288807671, 106771615, 
-  1863230913, 1226330106, 615580540, 951085978, 1484784881, 829392464, 217983141, 1028523969, 463657258, 1534090074, 1160161034, 513214885, 1418724541, 740584496, 314195688, 305698149, 977891720, 622827441, 732181141, 1643284134, 
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-  694007495, 264800957, 961598387, 751823611, 1255535929, 931056837, 2046250577, 1946308084, 209378131, 895526084, 264604907, 906994568, 1417396770, 1814280477, 1984785675, 2006567681, 2017845341, 626279399, 2066036701, 1851141368, 
-  312900138, 789243881, 1535844342, 330575145, 142869386, 1499698115, 1600946908, 1413457759, 1025949537, 1099183406, 1294305303, 958466446, 2043151653, 1189879387, 599611377, 207863040, 2015885090, 1194401656, 791462861, 893694118, 
-  1608258409, 308115026, 1593891360, 1658189455, 1854253396, 2129778196, 17334289, 635537015, 851828150, 37808430, 257149610, 507795320, 1094027171, 613273425, 1815966135, 1964778203, 209833945, 506280343, 1948407363, 255148562, 
-  179510474, 872474302, 410039981, 1330330045, 942830918, 941580692, 1517832801, 889562090, 1174021065, 460718959, 1736318776, 1162103642, 773915743, 349265108, 917156462, 90728958, 1832683311, 555238968, 1645633340, 318119041, 
-  1183584683, 29883107, 1176493330, 1514683646, 488704083, 1577304047, 1459234674, 1262614227, 1340173089, 1710274927, 664455532, 1158448525, 1979158164, 801025966, 2089232049, 1998893314, 1268783965, 1003005581, 1611594839, 90355839, 
-  1425022624, 1707362573, 1173091113, 123764502, 1606391015, 1780828909, 497139111, 617409304, 1409382824, 952762988, 318233505, 1291356834, 152634737, 450403368, 975027563, 1062645586, 1204577454, 1166568231, 1796972733, 99570451, 
-  1307562263, 2089350898, 29237547, 1290876950, 795383736, 1425050079, 298849851, 1759040993, 374748574, 1328947560, 450230568, 1310180737, 984110363, 802603704, 1949805618, 2062647003, 1791694262, 822367556, 377036192, 293427489, 
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-  101070620, 1130539003, 10920813, 1697499867, 146958971, 1298837796, 538521745, 242462976, 2117607548, 1671085201, 819555811, 1163739061, 1687029743, 1455521013, 791204808, 1147238238, 1288187596, 1934934722, 185115187, 1127746925, 
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-  206542585, 210106742, 1906471586, 99785927, 1556001713, 149667729, 1838698680, 2103093196, 2027417819, 1255324122, 1893738303, 1872396874, 627774821, 435214913, 1193252438, 1135766639, 1207288107, 561848550, 2021629707, 892044046, 
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-  1855756940, 319806606, 2010753867, 726399222
+  2055783490, 980863365, 1308872551, 1010427073, 1399854717, 1217804021, 934700736, 878744414

 };
 
 type verify_data[DATA_SIZE] = 
 {
 };
 
 type verify_data[DATA_SIZE] = 
 {

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-  1985785215, 1985799364, 1985895474, 1986351070, 1986490808, 1986603464, 1986735236, 1986883420, 1986921372, 1986978407, 1987117705, 1987166024, 1987363532, 1987632311, 1987805084, 1987835763, 1987851561, 1988035142, 1988130611, 1988192131, 
-  1988287021, 1988481675, 1988525492, 1988614513, 1988687360, 1988806539, 1988855835, 1989240516, 1989342039, 1989576144, 1989643769, 1990100803, 1990340796, 1990399339, 1990420630, 1990658141, 1990669356, 1991188351, 1991344767, 1991509652, 
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-  1994402695, 1994610741, 1994693441, 1994844600, 1994957147, 1995103589, 1995138203, 1995183019, 1995343440, 1995701186, 1995709919, 1995727240, 1995886057, 1996118754, 1996190843, 1996403805, 1996471763, 1996478670, 1996749988, 1996830085, 
-  1996873001, 1997046105, 1997275350, 1997381015, 1997655428, 1997822316, 1997859754, 1997891152, 1998141063, 1998307055, 1998589921, 1998893314, 1998942646, 1998944461, 1999069557, 1999144120, 1999289980, 1999452712, 1999627499, 1999779181, 
-  1999821875, 1999919423, 1999987157, 2000262496, 2000278774, 2000608107, 2000906585, 2000913920, 2001056977, 2001598999, 2002136850, 2002673539, 2002739586, 2002881120, 2002970559, 2003049258, 2003149553, 2003774198, 2003900384, 2003942776, 
-  2004233531, 2004311019, 2004603292, 2004615419, 2004624133, 2004664325, 2004693059, 2004770236, 2005021017, 2005063197, 2005115497, 2005521888, 2005597967, 2005631313, 2005653265, 2005817027, 2005937242, 2006247860, 2006320950, 2006539102, 
-  2006567681, 2006634309, 2006678957, 2006692967, 2006712855, 2006856683, 2007151047, 2007350416, 2007838031, 2007924476, 2007943668, 2007949793, 2008084668, 2008090365, 2008563156, 2008565884, 2008716284, 2008718180, 2008747577, 2008848126, 
-  2009102481, 2009118914, 2009244921, 2009346711, 2009429692, 2009543073, 2009776584, 2010549018, 2010645414, 2010753867, 2010812697, 2010940450, 2011321490, 2011432743, 2011434448, 2011474461, 2011529842, 2011827638, 2011847002, 2011901640, 
-  2011916955, 2012051235, 2012127848, 2012413568, 2012754265, 2012926630, 2013329855, 2013412174, 2013564747, 2013577625, 2013848895, 2014090929, 2014129292, 2014165976, 2014260608, 2014279741, 2014395699, 2014441266, 2014471456, 2014561477, 
-  2014696926, 2014900682, 2014924386, 2014982068, 2015090815, 2015125824, 2015157401, 2015160045, 2015662169, 2015764416, 2015775846, 2015847175, 2015885090, 2015927221, 2015974178, 2016009993, 2016066600, 2016149432, 2016161810, 2016464961, 
-  2016498796, 2016583917, 2016711866, 2016799621, 2016806345, 2017191527, 2017466951, 2017845341, 2017896418, 2017922170, 2018083534, 2018228863, 2018278267, 2018336444, 2018354439, 2018374929, 2018435331, 2018545523, 2018624921, 2018643674, 
-  2018892529, 2018940142, 2018944941, 2018973124, 2019057430, 2019168524, 2019170309, 2019752896, 2019900208, 2020263575, 2020330567, 2020340614, 2020347932, 2020380167, 2020580145, 2020605316, 2020835135, 2021280367, 2021316284, 2021357987, 
-  2021555174, 2021599521, 2021629707, 2021679561, 2021841123, 2021977648, 2022025001, 2022081830, 2022291557, 2022530492, 2022557251, 2022647719, 2022790025, 2022804455, 2022845892, 2022973269, 2022990252, 2023116564, 2023121481, 2023149993, 
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-  2028051742, 2028116487, 2028137251, 2028175513, 2028205209, 2028265350, 2028377567, 2028392467, 2028398800, 2028443828, 2028701100, 2028853920, 2029018119, 2029052534, 2029117552, 2029133999, 2029178234, 2029206147, 2029269878, 2029629877, 
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-  2037552686, 2037565365, 2037655000, 2037983414, 2038039655, 2038046049, 2038086321, 2038160805, 2038233915, 2038323608, 2038336006, 2038405291, 2038446687, 2038752702, 2038925801, 2039005022, 2039012903, 2039456236, 2039565129, 2039916759, 
-  2040093722, 2040391942, 2040400944, 2040404622, 2040546282, 2040707360, 2040753136, 2041202875, 2041258569, 2041366234, 2041782673, 2041787152, 2041942843, 2042009224, 2042160782, 2042242504, 2042861943, 2042940160, 2042942493, 2042973795, 
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