/* * Copyright (c) 1996 David I. Bell * Permission is granted to use, distribute, or modify this source, * provided that this copyright notice remains intact. * * Test the correct execution of the calculator by reading this library file. * Errors are reported with '****' messages, or worse. :-) * * NOTE: Unlike most calc lib files, this one performs its work when * it is read. Normally one would just define functions and * values for later use. In the case of the regression test, * we do not want to do this. */ print '000: Beginning regression tests'; print '001: Some of these tests may take a while ...'; print '002: Within each section, output should be numbered sequentially'; global err; lib_debug = -1; /* disable lib startup messages */ initcfg = config("all", "oldstd"); /* set config to startup default */ print '003: parsed global definitions'; /* * vrfy - vrfy that a test is true * * Counts and reports errors or prints test string if successful. */ define vrfy(test, str) { if (test != 1) { print '**** Non-true result (' : test : '): ' : str; ++err; return; } print str; } print '004: parsed vrfy()'; /* * err - alternate error notification and count */ define err(str) { print '****' , str; ++err; } print '005: parsed err(str)'; /* * getglobalvar - used to return a global value */ define getglobalvar() { global globalvar; return globalvar; } print '006: parsed getglobalvar()'; /* * Test boolean operations and IF tests. * * Some of these tests are done twice, once to print the message and * once to count any errors. This means that some successful tests * will display a passing message twice. Oh well, no biggie. */ define test_booleans() { local x; local y; local t1, t2, t3; print '200: Beginning test_booleans'; if (0) print '**** if (0)'; if (0) err = err + 1; if (1) print '201: if (1)'; if (2) print '202: if (2)'; if (1) print '203: if (1) else'; else print '**** if (1) else'; if (1) print '204: if (1) else'; else err = err + 1; if (0) print '**** if (0) else'; else print '205: if (0) else'; if (0) err = err + 1; else print '206: if (0) else'; if (1 == 1) print '207: if 1 == 1'; else print '**** if 1 == 1'; if (1 == 1) print '208: if 1 == 1'; else err = err + 1; if (1 != 2) print '209: if 1 != 2'; else print '**** if 1 != 2'; if (1 != 2) print '210: if 1 != 2'; else err = err + 1; vrfy(1, '211: vrfy 1'); vrfy(2 == 2, '212: vrfy 2 == 2'); vrfy(2 != 3, '213: vrfy 2 != 3'); vrfy(2 < 3, '214: vrfy 2 < 3'); vrfy(2 <= 2, '215: vrfy 2 <= 2'); vrfy(2 <= 3, '216: vrfy 2 <= 3'); vrfy(3 > 2, '217: vrfy 3 > 2'); vrfy(2 >= 2, '218: vrfy 2 >= 2'); vrfy(3 >= 2, '219: vrfy 3 >= 2'); vrfy(!0, '220: vrfy !0'); vrfy(!1 == 0,'221: vrfy !1 == 0'); vrfy((1 ? 2 ? 3 : 4 : 5) == 3, '222: (1 ? 2 ? 3 : 4 : 5) == 3'); print '223: Ending test_booleans'; } print '007: parsed test_booleans()'; /* * Test variables, simple assignments, AND and OR operators, short-circuit eval */ define test_variables() { local x1, x2, x3; global g1, g2; local t; global globalvar; local x; print '300: Beginning test_variables'; x1 = 5; x3 = 7 * 2; x2 = 9 + 1; globalvar = 22; g1 = 19 - 3; g2 = 79; vrfy(x1 == 5, '301: x1 == 5'); vrfy(x2 == 10, '302: x2 == 10'); vrfy(x3 == 14, '303: x3 == 14'); vrfy(g1 == 16, '304: g1 == 16'); vrfy(g2 == 79, '305: g2 == 79'); vrfy(globalvar == 22, '306: globalvar == 22'); vrfy(getglobalvar() == 22, '307: getglobalvar() == 22'); x1 = x2 + x3 + g1; vrfy(x1 == 40, '308: x1 == 40'); g1 = x3 + g2; vrfy(g1 == 93, '309: g1 == 207'); x1 = 5; vrfy(x1++ == 5, '310: x1++ == 5'); vrfy(x1 == 6, '311: x1 == 6'); vrfy(++x1 == 7, '312: ++x1 == 7'); x1 += 3; vrfy(x1 == 10, '313: x1 == 10'); x1 -= 6; vrfy(x1 == 4, '314: x1 == 4'); x1 *= 3; vrfy(x1 == 12, '315: x1 == 12'); x1 /= 4; vrfy(x1 == 3, '316: x1 == 3'); x1 = x2 = x3; vrfy(x2 == 14, '317: x2 == 14'); vrfy(x1 == 14, '318: x1 == 14'); if (2 && 3) { print '319: if (2 && 3)'; } else { print '**** if (2 && 3)'; ++err; } if (2 && 0) { print '**** if (2 && 0)'; ++err; } else { print '320: if (2 && 0)'; } if (0 && 2) { print '**** if (0 && 2)'; ++err; } else { print '321: if (0 && 2)'; } if (0 && 0) { print '**** if (0 && 0)'; ++err; } else { print '322: if (0 && 0)'; } if (2 || 0) { print '323: if (2 || 0)'; } else { print '**** if (2 || 0)'; ++err; } if (0 || 2) { print '324: if (0 || 2)'; } else { print '**** if (0 || 2)'; ++err; } if (0 || 0) { print '**** if (0 || 0)'; ++err; } else { print '325: if (0 || 0)'; } x = 2 || 3; vrfy(x == 2, '326: (2 || 3) == 2'); x = 2 || 0; vrfy(x == 2, '327: (2 || 0) == 2'); x = 0 || 3; vrfy(x == 3, '328: (0 || 3) == 3'); x = 0 || 0; vrfy(x == 0, '329: (0 || 0) == 0'); x = 2 && 3; vrfy(x == 3, '330: (2 && 3) == 3'); x = 2 && 0; vrfy(x == 0, '331: (2 && 0) == 0'); x = 0 && 3; vrfy(x == 0, '332: (0 && 3) == 0'); x = 2 || err('2 || err()'); print "333: x = 2 || err('2 || err()'"; x = 0 && err('0 && err()'); print "334: x = 0 && err('0 && err()'"; print '335: Ending test_variables'; } print '008: parsed test_variables()'; /* * Test simple arithmetic operations and expressions. */ define test_arithmetic() { print '400: Beginning test_arithmetic'; vrfy(3+4==7, '401: 3 + 4 == 7'); vrfy(4-1==3, '402: 4 - 1 == 3'); vrfy(2*3==6, '403: 2 * 3 == 6'); vrfy(8/4==2, '404: 8 / 4 == 2'); vrfy(2^3==8, '405: 2 ^ 3 == 8'); vrfy(9-4-2==3, '406: 9-4-2 == 3'); vrfy(9-4+2==7, '407: 9-4+2 == 6'); vrfy(-5+2==-3, '408: -5+2 == -3'); vrfy(2*3+1==7, '409: 2*3+1 == 7'); vrfy(1+2*3==7, '410: 1+2*3 == 7'); vrfy((1+2)*3==9, '411: (1+2)*3 == 9'); vrfy(2*(3+1)==8, '412: 2*(3+1) == 8'); vrfy(9-(2+3)==4, '413: 9-(2+3) == 4'); vrfy(9+(2-3)==8, '414: 9+(2-3) == 8'); vrfy((2+3)*(4+5)==45, '415: (2+3)*(4+5) == 45'); vrfy(10/(2+3)==2, '416: 10/(2+3) == 2'); vrfy(12/3+4==8, '417: 12/3+4 == 8'); vrfy(6+12/3==10, '418: 6+12/3 == 10'); vrfy(2+3==1+4, '419: 2+3 == 1+4'); vrfy(-(2+3)==-5, '420: -(2+3) == -5'); vrfy(7&18==2, '421: 7&18 == 2'); vrfy(3|17==19, '422: 3|17 == 19'); vrfy(2&3|1==3, '423: 2&3|1 == 3'); vrfy(2&(3|1)==2, '424: 2&(3|1) == 2'); vrfy(3<<4==48, '425: 3<<4 == 48'); vrfy(5>>1==2, '426: 5>>1 == 2'); vrfy(3<<-1==1, '427: 3<<-1 == 1'); vrfy(5>>-2==20, '428: 5>>-2 == 20'); vrfy(1<<2<<3==65536, '429: 1<<2<<3 == 65536'); vrfy((1<<2)<<3==32, '430: (1<<2)<<3 == 32'); vrfy(2^3^2==512, '431: 2^3^2 == 512'); vrfy((2^3)^2==64, '432: (2^3)^2 == 64'); vrfy(4//3==1, '433: 4//3==1'); vrfy(4//-3==-1, '434: 4//-3==-1'); vrfy(0.75//-0.51==-1, '435: 0.75//-0.51==-1'); vrfy(0.75//-0.50==-1, '436: 0.75//-0.50==-1'); vrfy(0.75//-0.49==-1, '437: 0.75//-0.49==-1'); vrfy((3/4)//(-1/4)==-3, '438: (3/4)//(-1/4)==-3'); vrfy(7%3==1, '439: 7%3==1'); vrfy(0-.5==-.5, '440: 0-.5==-.5'); vrfy(0^0 == 1, '441: 0^0 == 1'); vrfy(0^1 == 0, '442: 0^1 == 0'); vrfy(1^0 == 1, '443: 1^0 == 1'); vrfy(1^1 == 1, '444: 1^1 == 1'); vrfy(1/(.8+.8i)==.625-.625i, '445: 1/(.8+.8i)==.625-.625i'); vrfy((.6+.8i)*(3.6-4.8i)==6, '446: (.6+.8i)*(3.6-4.8i)==6'); print '447: Ending test_arithmetic'; } print '009: parsed test_arithmetic()'; /* * test_config - test config control */ define test_config() { local callcfg; /* caller configuration value */ local oldcfg; /* caller configuration value */ local newcfg; /* caller configuration value */ print '500: Beginning test_config'; /* check the set and return of all config */ callcfg = config("all"); print '501: callcfg = config("all")'; callcfg = config("all", "oldstd"); print '502: callcfg = config("all","oldstd")'; oldcfg = config("all", "newstd"); print '503: oldcfg = config("all","newstd")'; vrfy(callcfg == oldcfg, '504: callcfg == oldcfg'); newcfg = config("all"); print '505: newcfg = config("all")'; vrfy(config("all") == newcfg, '506: config("all") == newcfg'); vrfy(config("all", oldcfg) == newcfg, '507: config("all", oldcfg) == newcfg'); /* vrfy the state of the default config */ vrfy(config("all") == oldcfg, '508: config("all") == oldcfg'); vrfy(config("mode") == "real", '509: config("mode") == "real"'); vrfy(config("display") == 20, '510: config("display") == 20'); vrfy(config("epsilon") == 1e-20, '511: config("epsilon") == 1e-20'); vrfy(config("trace") == 0, '512: config("trace") == 0'); vrfy(config("maxprint") == 16, '513: config("maxprint") == 16'); vrfy(config("mul2") == 20, '514: config("mul2") == 20'); vrfy(config("sq2") == 20, '515: config("sq2") == 20'); vrfy(config("pow2") == 40, '516: config("pow2") == 40'); vrfy(config("redc2") == 50, '517: config("redc2") == 50'); vrfy(config("tilde") == 1, '518: config("tilde") == 1'); vrfy(config("tab") == 1, '519: config("tab") == 1'); vrfy(config("quomod") == 0, '520: config("quomod") == 0'); vrfy(config("quo") == 2, '521: config("quo") == 2'); vrfy(config("mod") == 0, '522: config("mod") == 0'); vrfy(config("sqrt") == 24, '523: config("sqrt") == 24'); vrfy(config("appr") == 24, '524: config("appr") == 24'); vrfy(config("cfappr") == 0, '525: config("cfappr") == 0'); vrfy(config("cfsim") == 8, '526: config("cfsim") == 8'); vrfy(config("outround") == 2, '527: config("outround") == 2'); vrfy(config("round") == 24, '528: config("round") == 24'); vrfy(config("leadzero") == 0, '529: config("leadzero") == 0'); vrfy(config("fullzero") == 0, '530: config("fullzero") == 0'); vrfy(config("maxerr") == 20, '531: config("maxerr") == 20'); vrfy(config("prompt") == "> ", '532: config("prompt") == "> "'); vrfy(config("more") == ">> ", '533: config("more") == ">> "'); /* convert to "newstd" config by individual changes */ vrfy(config("display", 10) == 20, '534: config("display") == 20'); vrfy(config("epsilon",1e-10)==1e-20, '535: config("epsilon",1e-10)==1e-20'); vrfy(config("quo", 0) == 2, '536: config("quo", 0) == 2'); vrfy(config("outround", 24) == 2, '537: config("outround", 24) == 2'); vrfy(config("leadzero", "y") == 0, '538: config("leadzero", "y") == 0'); vrfy(config("fullzero", 1) == 0, '539: config("fullzero", 1) == 0'); vrfy(config("prompt", "; ") == "> ", '540: config("prompt", "; ") == "> "'); vrfy(config("more", ";; ") == ">> ", '541: config("more", ";; ") == ">> "'); vrfy(config("all") == newcfg, '542: config("all") == newcfg'); /* check on the new config("fullzero") effect */ vrfy(config("all","oldstd") == newcfg, '543: config("all",callcfg) == newcfg'); vrfy(config("display",2) == 20, '544: config("display",2) == 20'); vrfy(config("fullzero",1) == 0, '545: config("fullzero",1) == 0'); vrfy(strprintf("%d %d %d", 0, 1, 2) == ".00 1.00 2.00", '546: strprintf("%d %d %d", 0, 1, 2) == ".00 1.00 2.00"'); vrfy(config("display",20) == 2, '547: config("display",20) == 2'); vrfy(config("fullzero",0) == 1, '548: config("fullzero",0) == 1'); vrfy(strprintf("%d %d %d", 0, 1, 2) == "0 1 2", '549: strprintf("%d %d %d", 0, 1, 2) == "0 1 2"'); /* restore calling config */ vrfy(config("all",callcfg) == oldcfg, '550: config("all",callcfg) == oldcfg'); vrfy(config("all") == callcfg, '551: config("all") == callcfg'); vrfy(config("all") == oldcfg, '552: config("all") == oldcfg'); print '553: Ending test_config'; } print '010: parsed test_config()'; /* * Do multiplication and division on three numbers in various ways * and vrfy the results agree. */ define muldivcheck(a, b, c, str) { local abc, acb, bac, bca, cab, cba; abc = (a * b) * c; acb = (a * c) * b; bac = (b * a) * c; bca = (b * c) * a; cab = (c * a) * b; cba = (c * b) * a; if (abc != acb) {print '**** abc != acb:', str; ++err;} if (acb != bac) {print '**** acb != bac:', str; ++err;} if (bac != bca) {print '**** bac != bca:', str; ++err;} if (bca != cab) {print '**** bca != cab:', str; ++err;} if (cab != cba) {print '**** cab != cba:', str; ++err;} if (abc/a != b*c) {print '**** abc/a != bc:', str; ++err;} if (abc/b != a*c) {print '**** abc/b != ac:', str; ++err;} if (abc/c != a*b) {print '**** abc/c != ab:', str; ++err;} print str; } print '011: parsed muldivcheck(a, b, c, str)'; /* * Use the identity for squaring the sum of two squares to check * multiplication and squaring. */ define squarecheck(a, b, str) { local a2, b2, tab, apb, apb2, t; a2 = a^2; b2 = b^2; tab = a * b * 2; apb = a + b; apb2 = apb^2; if (a2 != a*a) {print '**** a^2 != a*a:', str; ++err;} if (b2 != b*b) {print '**** b^2 != b*b:', str; ++err;} if (apb2 != apb*apb) { print '**** (a+b)^2 != (a+b)*(a+b):', str; ++err; } if (a2+tab+b2 != apb2) { print '**** (a+b)^2 != a^2 + 2ab + b^2:', str; ++err; } if (a2/a != a) {print '**** a^2/a != a:', str; ++err;} if (b2/b != b) {print '**** b^2/b != b:', str; ++err;} if (apb2/apb != apb) {print '**** (a+b)^2/(a+b) != a+b:', str; ++err;} if (a2*b2 != (a*b)^2) {print '**** a^2*b^2 != (ab)^2:', str; ++err;} print str; } print '012: parsed squarecheck(a, b, str)'; /* * Use the raising of numbers to large powers to check multiplication * and exponentiation. */ define powercheck(a, p1, p2, str) { local a1, a2, a3; a1 = (a^p1)^p2; a2 = (a^p2)^p1; a3 = a^(p1*p2); if (a1 != a2) {print '**** (a^p1)^p2 != (a^p2)^p1:', str; ++err;} if (a1 != a3) {print '**** (a^p1)^p2 != a^(p1*p2):', str; ++err;} print str; } print '013: parsed powercheck(a, p1, p2, str)'; /* * Test fraction reductions. * Arguments MUST be relatively prime. */ define fraccheck(a, b, c, str) { local ab, bc, ca, aoc, boc, aob; ab = a * b; bc = b * c; ca = c * a; aoc = ab / bc; if (num(aoc) != a) {print '**** num(aoc) != a:', str; ++err;} if (den(aoc) != c) {print '**** den(aoc) != c:', str; ++err;} boc = ab / ca; if (num(boc) != b) {print '**** num(boc) != b:', str; ++err;} if (den(boc) != c) {print '**** den(boc) != c:', str; ++err;} aob = ca / bc; if (num(aob) != a) {print '**** num(aob) != a:', str; ++err;} if (den(aob) != b) {print '**** den(aob) != b:', str; ++err;} if (aob*boc != aoc) {print '**** aob*boc != aoc;', str; ++err;} print str; } print '014: parsed fraccheck(a, b, c, str)'; /* * Test multiplication and squaring algorithms. */ define algcheck(a, b, str) { local ss, ms, t1, t2, t3, t4, t5, t6, t7; local a1, a2, a3, a4, a5, a6, a7; local oldmul2, oldsq2; oldmul2 = config("mul2", 2); oldsq2 = config("sq2", 2); a1 = a * b; a2 = a * a; a3 = b * b; a4 = a^2; a5 = b^2; a6 = a2^2; a7 = pmod(3,a-1,a); for (ms = 2; ms < 20; ms++) { for (ss = 2; ss < 20; ss++) { config("mul2", ms); config("sq2", ss); t1 = a * b; t2 = a * a; t3 = b * b; t4 = a^2; t5 = b^2; t6 = t2^2; if (((ms + ss) % 37) == 4) t7 = pmod(3,a-1,a); if (t1 != a1) {print '**** t1 != a1:', str; ++err;} if (t2 != a2) {print '**** t2 != a2:', str; ++err;} if (t3 != a3) {print '**** t3 != a3:', str; ++err;} if (t4 != a4) {print '**** t4 != a4:', str; ++err;} if (t5 != a5) {print '**** t5 != a5:', str; ++err;} if (t6 != a6) {print '**** t6 != a6:', str; ++err;} if (t7 != a7) {print '**** t7 != a7:', str; ++err;} } } config("mul2", oldmul2); config("sq2", oldsq2); print str; } print '015: parsed algcheck(a, b, str)'; /* * Test big numbers using some identities. */ define test_bignums() { local a, b, c, d; print '600: Beginning test_bignums'; a = 64357824568234938591; b = 12764632632458756817; c = 43578234973856347982; muldivcheck(a, b, c, '601: muldivcheck 1'); a = 3^100; b = 5^97; c = 7^88; muldivcheck(a, b, c, '602: muldivcheck 2'); a = 2^160 - 1; b = 2^161 - 1; c = 2^162 - 1; muldivcheck(a, b, c, '603: muldivcheck 3'); a = 3^35 / 5^35; b = 7^35 / 11^35; c = 13^35 / 17^35; muldivcheck(a, b, c, '604: muldivcheck 4'); a = (10^97-1) / 9; b = (10^53-1) / 9; c = (10^37-1) / 9; muldivcheck(a, b, c, '605: muldivcheck 5'); a = 17^50; b = 19^47; squarecheck(a, b, '606: squarecheck 1'); a = 2^111-1; b = 2^17; squarecheck(a, b, '607: squarecheck 2'); a = 23^43 / 29^43; b = 31^42 / 37^29; squarecheck(a, b, '608: squarecheck 3'); a = 4657892345743659834657238947854639; b = 43784356784365893467659347867689; squarecheck(a, b, '609: squarecheck 4'); a = (10^80-1) / 9; b = (10^50-1) / 9; squarecheck(a, b, '610: squarecheck 5'); a = 101^99; b = 2 * a; squarecheck(a, b, '611: squarecheck 6'); a = (10^19-1) / 9; vrfy(ptest(a, 20), '612: primetest R19'); a = (10^23-1) / 9; vrfy(ptest(a, 20), '613: primetest R23'); a = 2^127 - 1; vrfy(ptest(a, 1), '614: primetest M127'); a = 2^521 - 1; vrfy(ptest(a, 1), '615: primetest M521'); powercheck(17, 127, 30, '616: powercheck 1'); powercheck(111, 899, 6, '617: powercheck 2'); powercheck(3, 87, 89, '618: powercheck 3'); fraccheck(3^200, 5^173, 7^138, '619: fraccheck 1'); fraccheck(11^100, 12^98, 13^121, '620: fraccheck 2'); fraccheck(101^270, 103^111, 105^200, '621: fraccheck 3'); a = 0xffff0000ffffffff00000000ffff0000000000000000ffff; b = 0x555544440000000000000000000000000000000011112222333344440000; c = 0x999911113333000011111111000022220000000000000000333300000000ffff; d = 0x3333ffffffff0000000000000000ffffffffffffffff000000000000; algcheck(a, a, '622: algcheck 1'); algcheck(a, b, '623: algcheck 2'); algcheck(a, c, '624: algcheck 3'); algcheck(a, d, '625: algcheck 4'); algcheck(b, b, '626: algcheck 5'); algcheck(b, c, '627: algcheck 6'); algcheck(b, d, '628: algcheck 7'); algcheck(c, c, '629: algcheck 8'); algcheck(c, d, '630: algcheck 9'); algcheck(d, d, '631: algcheck 10'); print '632: Ending test_bignums'; } print '016: parsed test_bignums()'; /* * Test many of the built-in functions. */ define test_functions() { local a, b; local pi; print '700: Beginning test_functions'; vrfy(abs(3) == 3, '701: abs(3) == 3'); vrfy(abs(-4) == 4, '702: abs(-4) == 4'); vrfy(avg(7) == 7, '703: avg(7) == 7'); vrfy(avg(3,5) == 4, '704: avg(3,5) == 4'); vrfy(cmp(2,3) == -1, '705: cmp(2,3) == -1'); vrfy(cmp(6,6) == 0, '706: cmp(6,6) == 0'); vrfy(cmp(7,4) == 1, '707: cmp(7,4) == 1'); vrfy(comb(9,9) == 1, '708: comb(9,9) == 1'); vrfy(comb(5,2) == 10, '709: comb(5,2) == 10'); vrfy(conj(4) == 4, '710: conj(4) == 4'); vrfy(conj(2-3i) == 2+3i, '711: conj(2-3i) == 2+3i'); vrfy(den(17) == 1, '712: den(17) == 1'); vrfy(den(3/7) == 7, '713: den(3/7) == 7'); vrfy(den(-2/3) == 3, '714: den(-2/3) == 3'); vrfy(digits(0) == 1, '715: digits(0) == 1'); vrfy(digits(9) == 1, '716: digits(9) == 1'); vrfy(digits(10) == 2, '717: digits(10) == 2'); vrfy(digits(-691) == 3, '718: digits(-691) == 3'); vrfy(eval('2+3') == 5, "719: eval('2+3') == 5"); vrfy(fcnt(11,3) == 0, '720: fcnt(11,3) == 0'); vrfy(fcnt(18,3) == 2, '721: fcnt(18,3) == 2'); vrfy(fib(0) == 0, '722: fib(0) == 0'); vrfy(fib(1) == 1, '723: fib(1) == 1'); vrfy(fib(9) == 34, '724: fib(9) == 34'); vrfy(frem(12,5) == 12, '725: frem(12,5) == 12'); vrfy(frem(45,3) == 5, '726: frem(45,3) == 5'); vrfy(fact(0) == 1, '727: fact(0) == 1'); vrfy(fact(1) == 1, '728: fact(1) == 1'); vrfy(fact(5) == 120, '729: fact(5) == 120'); vrfy(frac(3) == 0, '730: frac(3) == 0'); vrfy(frac(2/3) == 2/3, '731: frac(2/3) == 2/3'); vrfy(frac(17/3) == 2/3, '732: frac(17/3) == 2/3'); vrfy(gcd(0,3) == 3, '733: gcd(0,3) == 3'); vrfy(gcd(1,12) == 1, '734: gcd(1,12) == 1'); vrfy(gcd(11,7) == 1, '735: gcd(11,7) == 1'); vrfy(gcd(20,65) == 5, '736: gcd(20,65) == 5'); vrfy(gcdrem(20,3) == 20, '737: gcdrem(20,3) == 20'); vrfy(gcdrem(100,6) == 25, '738: gcdrem(100,6) == 25'); vrfy(highbit(1) == 0, '739: highbit(1) == 0'); vrfy(highbit(15) == 3, '740: highbit(15) == 3'); vrfy(hypot(3,4) == 5, '741: hypot(3,4) == 5'); vrfy(ilog(90,3) == 4, '742: ilog(90,3) == 4'); vrfy(ilog10(123) == 2, '743: ilog10(123) == 2'); vrfy(ilog2(17) == 4, '744: ilog2(17) == 4'); vrfy(im(3) == 0, '745: im(3) == 0'); vrfy(im(2+3i) == 3, '746: im(2+3i) == 3'); print '747: test unused'; print '748: test unused'; print '749: test unused'; print '750: test unused'; print '751: test unused'; print '752: test unused'; print '753: test unused'; print '754: test unused'; print '755: test unused'; print '756: test unused'; vrfy(int(5) == 5, '757: int(5) == 5'); vrfy(int(19/3) == 6, '758: int(19/3) == 6'); vrfy(inverse(3/2) == 2/3, '759: inverse(3/2) == 2/3'); vrfy(iroot(18,2) == 4, '760: iroot(18,2) == 4'); vrfy(iroot(100,3) == 4, '761: iroot(100,3) == 4'); vrfy(iseven(10) == 1, '762: iseven(10) == 1'); vrfy(iseven(13) == 0, '763: iseven(13) == 0'); vrfy(iseven('a') == 0, "764: iseven('a') == 0"); vrfy(isint(7) == 1, '765: isint(7) == 1'); vrfy(isint(19/2) == 0, '766: isint(19/2) == 0'); vrfy(isint('a') == 0, "767: isint('a') == 0"); vrfy(islist(3) == 0, '768: islist(3) == 0'); vrfy(islist(list(2,3)) == 1, '769: islist(list(2,3)) == 1'); vrfy(ismat(3) == 0, '770: ismat(3) == 0'); vrfy(ismult(7,3) == 0, '771: ismult(7,3) == 0'); vrfy(ismult(15,5) == 1, '772: ismult(15,5) == 1'); vrfy(isnull(3) == 0, '773: isnull(3) == 0'); vrfy(isnull(null()) == 1, '774: isnull(null()) == 1'); vrfy(isnum(2/3) == 1, '775: isnum(2/3) == 1'); vrfy(isnum('xx') == 0, "776: isnum('xx') == 0"); vrfy(isobj(3) == 0, '777: isobj(3) == 0'); vrfy(isodd(7) == 1, '778: isodd(7) == 1'); vrfy(isodd(8) == 0, '779: isodd(8) == 0'); vrfy(isodd('x') == 0, "780: isodd('a') == 0"); vrfy(isqrt(27) == 5, '781: isqrt(27) == 5'); vrfy(isreal(3) == 1, '782: isreal(3) == 1'); vrfy(isreal('x') == 0, "783: isreal('x') == 0"); vrfy(isreal(2+3i) == 0, '784: isreal(2+3i) == 0'); vrfy(isstr(5) == 0, '785: isstr(5) == 0'); vrfy(isstr('foo') == 1, "786: isstr('foo') == 1"); vrfy(isrel(10,14) == 0, '787: isrel(10,14) == 0'); vrfy(isrel(15,22) == 1, '788: isrel(15,22) == 1'); vrfy(issimple(6) == 1, '789: issimple(6) == 1'); vrfy(issimple(3-2i) == 1, '790: issimple(3-2i) == 1'); vrfy(issimple(list(5)) == 0, '791: issimple(list(5)) == 0'); vrfy(issq(26) == 0, '792: issq(26) == 0'); vrfy(issq(9/4) == 1, '793: issq(9/4) == 1'); print '794: test unused'; vrfy(istype(9,4) == 1, '795: istype(9,4) == 1'); vrfy(istype(3,'xx') == 0, "796: istype(3,'xx') == 0"); vrfy(jacobi(5,11) == 1, '797: jacobi(2,7) == 1'); vrfy(jacobi(6,13) == -1, '798: jacobi(6,13) == -1'); vrfy(lcm(3,4,5,6) == 60, '799: lcm(3,4,5,6) == 60'); vrfy(lcmfact(8) == 840, '800: lcmfact(8) == 840'); vrfy(lfactor(21,5) == 3, '801: lfactor(21,5) == 3'); vrfy(lfactor(97,20) == 1, '802: lfactor(97,20) == 1'); vrfy(lowbit(12) == 2, '803: lowbit(12) == 2'); vrfy(lowbit(17) == 0, '804: lowbit(17) == 0'); vrfy(ltol(1) == 0, '805: ltol(1) == 0'); vrfy(max(3,-9,7,4) == 7, '806: max(3,-9,7,4) == 7'); vrfy(meq(13,33,10) == 1, '807: meq(13,33,10) == 1'); vrfy(meq(7,19,11) == 0, '808: meq(7,19,11) == 0'); vrfy(min(9,5,12) == 5, '809: min(9,5,12) == 5'); vrfy(minv(13,97) == 15, '810: minv(13,97) == 15'); vrfy(mne(16,37,10) == 1, '811: mne(16,37,10) == 1'); vrfy(mne(46,79,11) == 0, '812: mne(46,79,11) == 0'); vrfy(norm(4) == 16, '813: norm(4) == 16'); vrfy(norm(2-3i) == 13, '814: norm(2-3i) == 13'); vrfy(num(7) == 7, '815: num(7) == 7'); vrfy(num(11/4) == 11, '816: num(11/4) == 11'); vrfy(num(-9/5) == -9, '817: num(-9/5) == -9'); vrfy(char(ord('a')+2) == 'c', "818: char(ord('a')+2) == 'c'"); vrfy(perm(7,3) == 210, '819: perm(7,3) == 210'); vrfy(pfact(10) == 210, '820: pfact(10) == 210'); vrfy(places(3/7) == -1, '821: places(3/7) == -1'); vrfy(places(.347) == 3, '822: places(.347) == 3'); vrfy(places(17) == 0, '823: places(17) == 0'); vrfy(pmod(3,36,37) == 1, '824: pmod(3,36,37) == 1'); vrfy(poly(2,3,5,2) == 19, '825: poly(2,3,5,2) == 19'); vrfy(ptest(101,10) == 1, '826: ptest(101,10) == 1'); vrfy(ptest(221,30) == 0, '827: ptest(221,30) == 0'); vrfy(re(9) == 9, '828: re(9) == 9'); vrfy(re(-7+3i) == -7, '829: re(-7+3i) == -7'); vrfy(scale(3,4) == 48, '830: scale(3,4) == 48'); vrfy(sgn(-4) == -1, '831: sgn(-4) == -1'); vrfy(sgn(0) == 0, '832: sgn(0) == 0'); vrfy(sgn(3) == 1, '833: sgn(3) == 1'); vrfy(size(7) == 1, '834: size(7) == 1'); vrfy(sqrt(121) == 11, '835: sqrt(121) == 11'); vrfy(ssq(2,3,4) == 29, '836: ssq(2,3,4) == 29'); vrfy(str(45) == '45', "837: str(45) == '45'"); vrfy(strcat('a','bc','def')=='abcdef', "838: strcat('a','bc','def')=='abcdef'"); vrfy(strlen('') == 0, "839: strlen('') == 0"); vrfy(strlen('abcd') == 4, "840: strlen('abcd') == 4"); vrfy(substr('abcd',2,1) == 'b', "841: substr('abcd',2,1) == 'b'"); vrfy(substr('abcd',3,4) == 'cd', "842: substr('abcd',3,4) == 'cd'"); vrfy(substr('abcd',1,3) == 'abc', "843: substr('abcd',1,3) == 'abc'"); vrfy(xor(17,17) == 0, '844: xor(17,17) == 0'); vrfy(xor(12,5) == 9, '845: xor(12,5) == 9'); vrfy(mmin(3,7) == 3, '846: mmin(3,7) == 3'); vrfy(mmin(4,7) == -3, '847: mmin(4,7) == -3'); vrfy(digit(123,2) == 1, '848: digit(123,2) == 1'); vrfy(ismult(3/4, 1/7) == 0, '849: ismult(3/4, 1/7) == 0'); vrfy(gcd(3/4, 1/7) == 1/28, '850: gcd(3/4,1/7) == 1/28'); vrfy(gcd(2,3,1/2) == 1/2, '851: gcd(2,3,1/2) == 1/2'); vrfy(gcd(17,7,1/7) == 1/7, '852: gcd(17,7,1/7) == 1/7'); vrfy(gcd(2) == 2, '853: gcd(2) == 2'); vrfy(gcd(-2) == 2, '854: gcd(-2) == 2'); vrfy(floor(1.5) == 1, '855: floor(1.5) == 1'); vrfy(floor(.5) == 0, '856: floor(.5) == 0'); vrfy(floor(-.5) == -1, '857: floor(-.5) == -1'); vrfy(floor(-1.5) == -2, '858: floor(-1.5) == -2'); vrfy(ceil(1.5) == 2, '859: ceil(1.5) == 2'); vrfy(ceil(.5) == 1, '860: ceil(.5) == 1'); vrfy(ceil(-.5) == 0, '861: ceil(-.5) == 0'); vrfy(ceil(-1.5) == -1, '862: ceil(-1.5) == -1'); vrfy(frac(-7.2) == -.2, '863: frac(-7.2) == -.2'); vrfy(gcd(4, 5, 1/3) == 1/3, '864: gcd(4, 5, 1/3) == 1/3'); vrfy(ltol(7/25) == 24/25, '865: ltol(7/25) == 24/25'); vrfy(hmean(1,2,3) == 18/11, '866: hmean(1,2,3) == 18/11'); vrfy(ilog2(2^-20) == -20, '867: ilog2(2^-20) == -20'); vrfy(ord("DBell") == 68, '868: ord("DBell") == 68'); vrfy(cmp("a","b") == -1, '869: cmp("a","b") == -1'); vrfy(cmp("abcd","abc") == 1, '870: cmp("abcd","abc") == 1'); vrfy(cmp(3,4i) == 1-1i, '871: cmp(3,4i) == 1-1i'); vrfy(cmp(4,4i) == 1-1i, '872: cmp(4,4i) == 1-1i'); vrfy(cmp(5,4i) == 1-1i, '873: cmp(5,4i) == 1-1i'); vrfy(cmp(-5,4i) == -1-1i, '874: cmp(-5,4i) == -1-1i'); vrfy(cmp(-4i,5) == -1-1i, '875: cmp(-4i,5) == -1-1i'); vrfy(cmp(-4i,-5) == 1-1i, '876: cmp(-4i,-5) == 1-1i'); vrfy(cmp(3i,4i) == -1i, '877: cmp(3i,4i) == -1i'); vrfy(cmp(4i,4i) == 0, '878: cmp(4i,4i) == 0'); vrfy(cmp(5i,4i) == 1i, '879: cmp(5i,4i) == 1i'); vrfy(cmp(3+4i,5) == -1+1i, '880: cmp(3+4i,5) == -1+1i'); vrfy(cmp(3+4i,-5) == 1+1i, '881: cmp(3+4i,-5) == 1+1i'); vrfy(cmp(3+4i,3+4i) == 0, '882: cmp(3+4i,3+4i) == 0'); vrfy(cmp(3+4i,3-4i) == 1i, '883: cmp(3+4i,3-4i) == 1i'); vrfy(cmp(3+4i,2+3i) == 1+1i, '884: cmp(3+4i,2+3i) == 1+1i'); vrfy(cmp(3+4i,-4-5i) == 1+1i, '885: cmp(3+4i,-4-5i) == 1+1i'); vrfy(comb(7,0) == 1, '886: comb(7,0) == 1'); vrfy(comb(0,0) == 1, '887: comb(0,0) == 1'); vrfy(perm(7,0) == 7, '888: perm(7,0) == 7'); vrfy(perm(0,0) == 0, '889: perm(0,0) == 0'); vrfy(isfile(files(0)) == 1, '890: isfile(files(0)) == 1'); vrfy(isfile(0) == 0, '891: isfile(0) == 0'); vrfy(ismult(4^67, 2^59) == 1, '892: ismult(4^67, 2^59) == 1'); vrfy(ismult(13, 4/67) == 0, '893: ismult(13, 4/67) == 0'); vrfy(ismult(13, 7/56) == 1, '894: ismult(13, 7/56) == 1'); vrfy(isnum(2i) == 1, '895: isnum(2i) == 1'); vrfy(iseven(1/3) == 0, '896: iseven(1/3) == 0'); vrfy(isodd(1/3) == 0, '897: isodd(1/3) == 0'); vrfy(isrel(-5, 6) == 1, '898: isrel(-5, 6) == 1'); vrfy(isrel(-2, 6) == 0, '899: isrel(-2, 6) == 0'); vrfy(isset(9,0) == 1, '900: isset(9,0) == 1'); vrfy(isset(9,1) == 0, '901: isset(9,1) == 0'); vrfy(isset(9,2) == 0, '902: isset(9,2) == 0'); vrfy(isset(9,3) == 1, '903: isset(9,3) == 1'); vrfy(isset(1.25, -2) == 1, '904: isset(1.25, -2) == 1'); vrfy(isset(1.25, -1) == 0, '905: isset(1.25, -1) == 0'); vrfy(isset(1.25, 0) == 1, '906: isset(1.25, 0) == 1'); vrfy(isset(pi(), 1) == 1, '907: isset(pi(), 1) == 1'); vrfy(isset(pi(), -2) == 0, '908: isset(pi(), -2) == 0'); vrfy(isset(pi(), -3) == 1, '909: isset(pi(), -3) == 1'); vrfy(istype(2, 3.0) == 1, '910: istype(2, 3.0) == 1'); vrfy(istype(2, "2") == 0, '911: istype(2, "2") == 0'); vrfy(istype(2, 3i) == 0, '912: istype(2, 3i) == 0'); vrfy(istype(2i+2, 3i) == 1, '913: istype(2i+2, 3i) == 1'); a = epsilon(); print '914: a = epsilon()'; vrfy(epsilon(a) == epsilon(), '915: epsilon(a) == epsilon()'); vrfy(epsilon(a) == epsilon(), '916: epsilon(a) == epsilon()'); vrfy(epsilon(a) == epsilon(), '917: epsilon(a) == epsilon()'); vrfy(epsilon() == a, '918: epsilon() == a'); b = 1e-6; print '919: b = 1e-6'; vrfy(epsilon(b) == a, '920: epsilon(b) == a'); vrfy(epsilon(b) == epsilon(), '921: epsilon(b) == epsilon()'); vrfy(epsilon(b) == epsilon(), '922: epsilon(b) == epsilon()'); vrfy(epsilon(b) == epsilon(), '923: epsilon(b) == epsilon()'); vrfy(epsilon() == 1e-6, '924: epsilon() == 1e-6'); vrfy(epsilon(a) == b, '925: epsilon(a) == b'); vrfy(epsilon(a) == epsilon(), '926: epsilon(a) == epsilon()'); vrfy(epsilon(a) == epsilon(), '927: epsilon(a) == epsilon()'); vrfy(epsilon(a) == epsilon(), '928: epsilon(a) == epsilon()'); vrfy(epsilon(a) == a, '929: epsilon(a) == a'); vrfy(quomod(13,5,a,b) == 1, '930: quomod(13,5,a,b) == 1'); vrfy(a == 2, '931: a == 2'); vrfy(b == 3, '932: b == 3'); vrfy(quomod(15.6,5.2,a,b) == 0, '933: quomod(15.6,5.2,a,b) == 0'); vrfy(a == 3, '934: a == 3'); vrfy(b == 0, '935: b == 0'); vrfy(putenv("abcd=efg") == 0, '936: putenv("abcd=efg")'); vrfy(getenv("abcd") == "efg", '937: getenv("abcd") == "efg"'); vrfy(putenv("abcd","123")==0, '938: putenv("abcd","123")'); vrfy(getenv("abcd") == "123", '939: getenv("abcd") == "123"'); vrfy(isnull(getenv("notavar")) == 1, '940: isnull(getenv("notavar")) == 1'); a = "abcdefg"; print '941: a = "abcdefg"'; vrfy(strpos(a, "c") == 3, '942: strpos(a, "c") == 3'); vrfy(strpos(a, "def") == 4, '943: strpos(a, "def") == 4'); vrfy(strpos(a, "defg") == 4, '944: strpos(a, "defg") == 4'); vrfy(strpos(a, "defgh") == 0, '945: strpos(a, "defgh") == 0'); vrfy(strpos(a, "abc") == 1, '946: strpos(a, "abc") == 1'); vrfy(strpos(a, "xyz") == 0, '947: strpos(a, "xyz") == 0'); vrfy(strpos(a, a) == 1, '948: strpos(a, a) == 1'); vrfy(system("") == 0, '949: system("") == 0'); vrfy(system("true") == 0, '950: system("true") == 0'); vrfy(isatty(files(0)) == 1, '951: isatty(files(0)) == 1'); print '952: test removed'; print '953: test removed'; vrfy(isstr(cmdbuf()) == 1, '954: isstr(cmdbuf()) == 1'); vrfy(abs(root(4,3,0.1)-1.5874) < 0.1, '955: abs(root(4,3,0.1)-1.5874) < 0.1'); print '956: a = 2^300 + 69962309754533779525365054067'; a = 2^300 + 69962309754533779525365054067; a /= 2^211; print '957: a /= 2^211'; vrfy(appr(a, 1e-20) == 2^89, '958: appr(a, 1e-20) == 2^89'); vrfy(digits(5e149) == 150, '959: digits(5e149) == 150'); vrfy(highbit(2) == 1, '960: highbit(2) == 1'); vrfy(highbit(3) == 1, '961: highbit(3) == 1'); vrfy(highbit(4) == 2, '962: highbit(4) == 2'); vrfy(highbit(-15) == 3, '963: highbit(-15) == 3'); vrfy(highbit(2^27) == 27, '964: highbit(2^27) == 27'); a = 12.34; print '965: a = 12.34'; vrfy(digit(a,2) == 0, '966: digit(a,2) == 0'); vrfy(digit(a,1) == 1, '967: digit(a,1) == 1'); vrfy(digit(a,0) == 2, '968: digit(a,0) == 2'); vrfy(digit(a,-1) == 3, '969: digit(a,-1) == 3'); vrfy(digit(a,-2) == 4, '970: digit(a,-2) == 4'); a = 10/7; print '971: a = 10/7'; vrfy(digit(a,1) == 0, '972: digit(a,1) == 0'); vrfy(digit(a,0) == 1, '973: digit(a,0) == 1'); vrfy(digit(a,-1) == 4, '974: digit(a,-1) == 4'); vrfy(digit(a,-2) == 2, '975: digit(a,-2) == 2'); vrfy(digit(a,-3) == 8, '976: digit(a,-3) == 8'); vrfy(digits(0) == 1, '977: digits(0) == 1'); vrfy(digits(0.0123) == 1, '978: digits(0.0123) == 1'); vrfy(digits(3.7) == 1, '979: digits(3.7) == 1'); vrfy(digits(-27) == 2, '980: digits(-27) == 2'); vrfy(digits(-99.7) == 2, '981: digits(-99.7) == 2'); vrfy(ilog2(1) == 0, '982: ilog2(1) == 0'); vrfy(ilog2(2) == 1, '983: ilog2(2) == 1'); vrfy(ilog2(3) == 1, '984: ilog2(3) == 1'); vrfy(ilog2(4) == 2, '985: ilog2(4) == 2'); vrfy(ilog2(1/15) == -4, '986: ilog2(1/15) == -4'); vrfy(places(3) == 0, '987: places(3) == 0'); vrfy(places(0.0123) == 4, '988: places(0.0123) == 4'); vrfy(places(3.70) == 1, '989: places(3.70) == 1'); vrfy(places(1e-10) == 10, '990: places(1e-10) == 10'); vrfy(places(3/7) == -1, '991: places(/37) == -1'); vrfy(ilog10(7.7) == 0, '992: ilog10(7.7) == 0'); vrfy(ilog10(77.7) == 1, '993: ilog10(77.7) == 1'); vrfy(ilog10(777) == 2, '994: ilog10(777) == 2'); vrfy(ilog10(.00777) == -3, '995: ilog10(.00777) == -3'); vrfy(ilog10(1e27) == 27, '996: ilog10(1e27) == 27'); vrfy(lowbit(2) == 1, '997: lowbit(2) == 1'); vrfy(lowbit(3) == 0, '998: lowbit(3) == 0'); vrfy(lowbit(4) == 2, '999: lowbit(4) == 2'); vrfy(lowbit(-15) == 0, '1000: lowbit(-15) == 0'); vrfy(lowbit(2^27) == 27, '1001: lowbit(2^27) == 27'); vrfy(char(0102) == 'B', '1002: char(0102) == \'B\''); vrfy(char(0x6f) == 'o', '1003: char(0x6f) == \'o\''); vrfy(char(119) == 'w', '1004: char(119) == \'w\''); vrfy(char(0145) == 'e', '1005: char(0145) == \'e\''); vrfy(char(0x6e) == 'n', '1006: char(0x6e) == \'n\''); vrfy(den(-1.25) == 4, '1007: den(-1.25) == 4'); vrfy(den(121/33) == 3, '1008: den(121/33) == 3'); vrfy(gcd(9/10, 11/5, 4/25) == 0.02, '1009: gcd(9/10, 11/5, 4/25) == 0.02'); vrfy(gcd(0,0,0,0,0) == 0, '1010: gcd(0,0,0,0,0) == 0'); vrfy(hypot(3, 4, 1e-6) == 5, '1011: hypot(3, 4, 1e-6) == 5'); vrfy(hypot(2,-3,1e-6) == 3605551/1e6, '1012: hypot(2,-3,1e-6) == 3605551/1e6'); vrfy(im(-4.25 - 7i) == -7, '1013: im(-4.25 - 7i) == -7'); vrfy(lcm(12, -24, 30) == -120,'1014: lcm(12, -24, 30) == -120'); vrfy(lcm(9/10, 11/5, 4/25) == 79.2, '1015: lcm(9/10, 11/5, 4/25) == 79.2'); vrfy(lcm(2) == 2, '1016: lcm(2) == 2'); vrfy(max(2) == 2, '1017: max(2) == 2'); vrfy(min(2) == 2, '1018: min(2) == 2'); vrfy(re(-4.25 - 7i) == -4.25, '1019: re(-4.25 - 7i) == -4.25'); vrfy(size("abc") == 3, '1020: size("abc") == 3'); vrfy(str("") == "", '1021: str("") == ""'); vrfy(str(null()) == "", '1022: str(null()) == ""'); vrfy(str("Ernest Bowen") == "Ernest Bowen", '1023: str("Ernest Bowen") == "Ernest Bowen"'); vrfy(strlen("a b\tc\\d") == 7, '1024: strlen("a b\tc\\d") == 7'); vrfy(xor(2) == 2, '1025: xor(2) == 2'); vrfy(xor(5, 3, -7, 2, 9) == 10, '1026: xor(5, 3, -7, 2, 9) == 10'); vrfy(xor(0,0) == 0, '1027: xor(0,0) == 0'); vrfy(xor(0,1) == 1, '1028: xor(0,1) == 1'); vrfy(xor(1,0) == 1, '1029: xor(1,0) == 1'); vrfy(xor(1,1) == 0, '1030: xor(1,1) == 0'); vrfy(xor(5,3,-7,2,9) == 10, '1031: xor(5,3,-7,2,9) == 10'); vrfy(fib(-2) == -1, '1032: fib(-2) == -1'); vrfy(fib(-1) == 1, '1033: fib(-1) == 1'); vrfy(fib(-10) == -55, '1034: fib(-10) == -55'); vrfy(ilog(1/8, 3) == -2, '1035: ilog(1/8, 3) == -2'); vrfy(ilog(8.9, 3) == 1, '1036: ilog(8.9, 3) == 1'); vrfy(iroot(1,9) == 1, '1037: iroot(1,9) == 1'); vrfy(iroot(pi()^8,5) == 6, '1038: iroot(pi()^8,5)'); vrfy(isqrt(8.5) == 2, '1039: isqrt(8.5) == 2'); vrfy(isqrt(2e56) == 14142135623730950488016887242, '1040: isqrt(2e56) == 14142135623730950488016887242'); vrfy(near(22/7, 3.15, .01) == -1, '1041: near(22/7, 3.15, .01) == -1'); vrfy(near(22/7, 3.15, .005) == 1, '1042: near(22/7, 3.15, .005) == 1'); vrfy(norm(3.4) == 11.56, '1043: isqrt(3.4) == 11.56'); vrfy(pi(1e-5) == 3.14159, '1044: pi(1e-5) == 3.14159'); pi = pi(1e-10); print '1045: pi = pi(1e-10)'; vrfy(pi == 3.1415926536, '1046: pi == 3.1415926536'); vrfy(polar(2,pi/2,1e-5)==2i, '1047: polar(2,pi/2,1e-5)==2i'); vrfy(power(exp(1,1e-20),pi(1e-20)*1i/2,1e-20) == 1i, '1048: power(exp(1,1e-20),pi(1e-20)*1i/2,1e-20) == i1'); vrfy(ssq(1+2i, 3-4i, 5 +6i) == -21+40i, '1049: ssq(1+2i, 3-4i, 5 +6i) == -21+40i'); vrfy(isreal(ln(1 + 1e-10i, 1e-5)), '1050: isreal(ln(1 + 1e-10i, 1e-5))'); vrfy(isreal(exp(pi(1e-10)*1i, 1e-5)), '1051: isreal(exp(pi(1e-10)*1i, 1e-5))'); vrfy(cfappr(43/30, 10, 0) == 10/7, '1052: cfappr(43/30, 10, 0) == 10/7'); vrfy(cfappr(43/30, 10, 1) == 13/9, '1053: cfappr(43/30, 10, 1) == 13/9'); vrfy(cfappr(43/30, 10, 16) == 10/7, '1054: cfappr(43/30, 10, 16) == 10/7'); vrfy(cfappr(6/5, 1/2, 16) == 1, '1055: cfappr(6/5, 1/2, 16) == 1'); vrfy(cfsim(13,8) == 0, '1056: cfsim(13,8) == 0'); vrfy(cfsim(1057,8) == 0, '1057: cfsim(1057,8) == 0'); vrfy(mod(11,5,0) == 1, '1058: mod(11,5,0) == 1'); vrfy(mod(11,5,1) == -4, '1059: mod(11,5,1) == -4'); vrfy(mod(-11,5,2) == -1, '1060: mod(-11,5,2) == -1'); vrfy(mod(-11,-5,3) == 4, '1061: mod(-11,-5,3) == 4'); vrfy(mod(12.5,5,16) == 2.5, '1062: mod(12.5,5,16) == 2.5'); vrfy(mod(12.5,5,17) == -2.5, '1063: mod(12.5,5,17) == -2.5'); vrfy(mod(12.5,5,24) == 2.5, '1064: mod(12.5,5,24) == 2.5'); vrfy(mod(-7.5,-5,24) == 2.5, '1065: mod(-7.5,-5,24) == 2.5'); vrfy(quo(11,5,0) == 2, '1066: quo(11,5,0) == 2'); vrfy(quo(11,5,1) == 3, '1067: quo(11,5,1) == 3'); vrfy(quo(-11,5,2) == -2, '1068: quo(-11,5,2) == -2'); vrfy(quo(-11,-5,3) == 3, '1069: quo(-11,-5,3) == 3'); vrfy(quo(12.5,5,16) == 2, '1070: quo(12.5,5,16) == 2'); vrfy(quo(12.5,5,17) == 3, '1071: quo(12.5,5,17) == 3'); vrfy(quo(12.5,5,24) == 2, '1072: quo(12.5,5,24) == 2'); vrfy(quo(-7.5,-5,24) == 2, '1073: quo(-7.5,-5,24) == 2'); vrfy(frac(2.5 + 3i) == .5, '1074: frac(2.5 + 3i) == .5'); vrfy(root(1i,1000,1e-2)==1, '1075: root(1i,1000,1e-2) == 1'); vrfy(scale(2+3i,2)==8+12i, '1076: scale(2+3i,2) == 8+12i'); vrfy(frem(8,4) == 2, '1077: frem(8,4) == 2'); vrfy(jacobi(80,199) == 1, '1078: jacobi(80,199) == 1'); print '1079: Ending test_functions'; print; print '1100: reserved for future expansion of test_functions'; } print '017: parsed test_functions()'; /* * _test_underscore - test use of _'s in identifiers */ _ = 49; print '018: _ = 49'; __ = 63; print "019: __ = 63"; define _test_underscore() { local _a = 27; local __a = 23209; print "1200: Beginning _test_underscore"; vrfy(_a == 27, '1201: _a == 27'); vrfy(_ == 49, '1202: _ == 49'); vrfy(__ == 63, '1203: __ == 63'); vrfy(__a == 23209, '1204: __a == 23209'); print "1205: Ending _test_underscore"; } print '020: parsed _test_underscore'; /* * place holder for any print items */ print "021:", "reserved for future use"; print "022:": " reserved for future use"; /* * Test associations */ define test_assoc() { static a; static b; local A; print '1300: Beginning associations test'; a = assoc(); vrfy(size(a) == 0, '1301: size(a) == 0'); a["curds"] = 13; print '1302: a["curds"] = 13'; vrfy(a["curds"] == 13, '1303: a["curds"] == 13'); a[13] = 17; print '1304: a[13] = 17'; vrfy(a[13] == 17, '1305: a[13] == 17'); vrfy(a[a["curds"]] == 17, '1306: a[a["curds"]] == 17'); a[17] = 19; print '1307: a[17] = 19'; vrfy(a[17] == 19, '1308: a[17] == 19'); vrfy(a[a["curds"]+4] == 19, '1309: a[a["curds"]+4] == 19'); vrfy(size(a) == 3, '1310: size(a) == 3'); vrfy(a[[search(a,17)]] == 17, '1311: (a[[search(a,17)]] == 17'); vrfy(isnull(search(a,16)), '1312: isnull(search(a,16))'); a["curds","whey"] = "spider"; print '1313: a["curds","whey"] = "spider"'; vrfy(a["curds","whey"] == "spider", '1314: a["curds","whey"] == "spider"'); vrfy(a[[rsearch(a,"spider")]] == "spider", '1315: a[[search(a,"spider")]] == "spider"'); b = a; print '1316: b = a'; vrfy(b[17] == 19, '1317: b[17] == 19'); vrfy(a == b, '1318: a == b'); vrfy(isassoc(a) == 1, '1319: isassoc(a) == 1'); vrfy(isassoc(1) == 0, '1320: isassoc(1) == 0'); A = assoc(); vrfy(quomod(13, 5, A[1], A[2]) == 1, '1321: quomod(13, 5, A[1], A[2]) == 1'); vrfy(A[1] == 2, '1322: A[1] == 2'); vrfy(A[2] == 3, '1323: A[2] == 3'); print '1324: Ending associations test'; } print '023: parsed test_assoc()'; /* * Test lists */ define test_list() { static a; static b; static x = list(11,13,17,23,29); static y0 = list(1,3,7,3,9); static y1 = list(-9,-7,-3,-7,-1); static y2 = list(-9,-7,-3,3,9); static y3 = list(1,3,7,-7,-1); static y4 = list(1,3,-3,3,-1); local A,B,C,D,E; local y,z; local list1, list2; print '1400: Beginning list test'; a = list(2,3,5); vrfy(a == list(2,3,5), '1401: a == list(2,3,5)'); vrfy(a[[0]] == 2, '1402: a[[0]] == 2'); vrfy(a[[1]] == 3, '1403: a[[1]] == 3'); vrfy(a[[2]] == 5, '1404: a[[2]] == 5'); vrfy(size(a) == 3, '1405: size(a) == 3'); vrfy(search(a,3) == 1, '1406: search(a,3) == 1'); vrfy(isnull(search(a,3,2)), '1407: isnull(search(a,3,2))'); vrfy(rsearch(a,3,2) == 1, '1408: rsearch(a,3,2) == 1'); push(a,7); print '1409: push(a,7)'; vrfy(search(a,7) == 0, '1410: search(a,7) == 0'); vrfy(pop(a) == 7, '1411: pop(a) == 7'); vrfy(size(a) == 3, '1412: size(a) == 3'); append(a,7); print '1413: append(a,7)'; vrfy(search(a,7) == 3, '1414: search(a,7) == 3'); vrfy(size(a) == 4, '1415: size(a) == 4'); vrfy(remove(a) == 7, '1416: remove(a) == 7'); vrfy(size(a) == 3, '1417: size(a) == 3'); b = a; print '1418: b = a'; insert(a,1,7); print '1419: insert(a,1,7)'; vrfy(search(a,2) == 0, '1420: search(a,2) == 0'); vrfy(search(a,7) == 1, '1421: search(a,7) == 1'); vrfy(search(a,3) == 2, '1422: search(a,3) == 2'); vrfy(search(a,5) == 3, '1423: search(a,5) == 3'); vrfy(size(a) == 4, '1424: size(a) == 4'); vrfy(delete(a,1) == 7, '1425: remove(a) == 7'); vrfy(search(a,2) == 0, '1426: search(a,2) == 0'); vrfy(search(a,3) == 1, '1427: search(a,3) == 1'); vrfy(search(a,5) == 2, '1428: search(a,5) == 2'); vrfy(size(a) == 3, '1429: size(a) == 3'); vrfy(a == b, '1430: a == b'); A = list(1,2,3); print '1431: A = list(1,2,3)'; B = list(4,5); print '1432: B = list(4,5)'; C = join(A,B); print '1433: C = join(A,B)'; D = list(1,2,3,4,5); print '1434: D = list(1,2,3,4,5)'; vrfy(C == D, '1435: C == D'); E = list(5,4,3,2,1); print '1436: E = list(5,4,3,2,1)'; vrfy(reverse(D) == E, '1437: reverse(D) == E'); vrfy(sort(list(1,3,5,2,4))==D,'1438: sort(list(1,3,5,2,4))==D'); vrfy(head(D,2) == list(1,2), '1439: head(D,2) == list(1,2)'); vrfy(head(D,-2)==list(1,2,3), '1440: head(D,-2)==list(1,2,3)'); vrfy(head(D,5) == D, '1441: head(D,5) == D'); vrfy(head(D,6) == D, '1442: head(D,6) == D'); vrfy(head(D,-5) == list(), '1443: head(D,-5) == list()'); vrfy(head(D,-6) == list(), '1444: head(D,-6) == list()'); vrfy(tail(E,2) == list(2,1), '1445: tail(E,2) == list(2,1)'); vrfy(tail(E,-2)==list(3,2,1), '1446: tail(E,-2)==list(3,2,1)'); vrfy(tail(E,5) == E, '1447: tail(E,5) == E'); vrfy(tail(E,6) == E, '1448: tail(E,6) == E'); vrfy(tail(E,-5) == list(), '1449: tail(E,-5) == list()'); vrfy(tail(E,-6) == list(), '1450: tail(E,-6) == list()'); vrfy(segment(D,1,3) == list(2,3,4), '1451: segment(D,1,3) == list(2,3,4)'); vrfy(segment(D,3,1) == list(4,3,2), '1452: segment(D,3,1) == list(4,3,2)'); vrfy(segment(D,0,2) == head(D,3), '1453: segment(D,0,2) == head(D,3)'); vrfy(segment(D,2,0) == tail(E,3), '1454: segment(D,2,0) == tail(E,3)'); vrfy(segment(D,0,4) == head(D,5), '1455: segment(D,0,4) == head(D,5)'); vrfy(segment(D,4,0) == head(E,5), '1456: segment(D,4,0) == head(E,5)'); vrfy(segment(D,3,4) == tail(D,2), '1457: segment(D,3,4) == tail(D,2)'); vrfy(segment(D,4,3) == head(E,2), '1458: segment(D,4,3) == head(E,2)'); for (y=0; y < size(D); ++y) { for (z=y; z < size(D); ++z) { if (D != join(head(D,y), segment(D,y,z), tail(D,size(D)-z-1))) { err(strcat("join loop failed at y=",str(y)," z=",str(z))); } } } print '1459: join loop test'; vrfy(mod(x,10,0) == y0, '1460: mod(x,10,0) == y0'); vrfy(mod(x,10,1) == y1, '1461: mod(x,10,1) == y1'); vrfy(mod(x,10,2) == y0, '1462: mod(x,10,2) == y0'); vrfy(mod(x,10,3) == y1, '1463: mod(x,10,3) == y1'); vrfy(mod(x,10,4) == y0, '1464: mod(x,10,4) == y0'); vrfy(mod(x,10,5) == y1, '1465: mod(x,10,5) == y1'); vrfy(mod(x,10,6) == y0, '1466: mod(x,10,6) == y0'); vrfy(mod(x,10,7) == y1, '1467: mod(x,10,7) == y1'); vrfy(mod(x,10,8) == y2, '1468: mod(x,10,8) == y2'); vrfy(mod(x,10,9) == y3, '1469: mod(x,10,9) == y3'); vrfy(mod(x,10,10) == y2, '1470: mod(x,10,10) == y2'); vrfy(mod(x,10,11) == y3, '1471: mod(x,10,11) == y3'); vrfy(mod(x,10,12) == y2, '1472: mod(x,10,12) == y2'); vrfy(mod(x,10,13) == y3, '1473: mod(x,10,13) == y3'); vrfy(mod(x,10,14) == y2, '1474: mod(x,10,14) == y2'); vrfy(mod(x,10,15) == y3, '1475: mod(x,10,15) == y3'); vrfy(mod(x,10,16) == y4, '1476: mod(x,10,16) == y4'); vrfy(mod(x,10,16) == y4, '1477: mod(x,10,16) == y4'); vrfy(mod(x,10,18) == y4, '1478: mod(x,10,18) == y4'); vrfy(mod(x,10,19) == y4, '1479: mod(x,10,18) == y4'); vrfy(mod(x,10,20) == y4, '1480: mod(x,10,20) == y4'); vrfy(mod(x,10,21) == y4, '1481: mod(x,10,21) == y4'); vrfy(mod(x,10,22) == y4, '1482: mod(x,10,22) == y4'); vrfy(mod(x,10,23) == y4, '1483: mod(x,10,23) == y4'); vrfy(mod(x,10,24) == y4, '1484: mod(x,10,24) == y4'); vrfy(mod(x,10,25) == y4, '1485: mod(x,10,25) == y4'); vrfy(mod(x,10,26) == y4, '1486: mod(x,10,26) == y4'); vrfy(mod(x,10,27) == y4, '1487: mod(x,10,27) == y4'); vrfy(mod(x,10,28) == y4, '1488: mod(x,10,28) == y4'); vrfy(mod(x,10,29) == y4, '1489: mod(x,10,29) == y4'); vrfy(mod(x,10,30) == y4, '1490: mod(x,10,30) == y4'); vrfy(mod(x,10,31) == y4, '1491: mod(x,10,31) == y4'); list1 = list(3,1,"x",2,null()); print '1492: list1 = list(3,1,"x",2,null())'; list2 = list(null(),1,2,3,"x"); print '1493: list2 = list(null(),1,2,3,"x")'; vrfy(sort(list1) == list2, '1494: sort(list1) == list2'); print '1495: Ending list test'; } print '024: parsed test_list()'; /* * Test rand */ define test_rand() { local init; /* initial generator state */ local state0; /* a generator state */ local state1; /* a generator state */ local state2; /* a generator state */ local tmp; local n; print '1500: Beginning rand test'; /* test save and restore of the initial state */ tmp = srand(0); print '1501: tmp = srand(0)'; init = srand(); print '1502: init = srand()'; state0 = srand(0); print '1503: state0 = srand(0)'; vrfy(state0 == init, '1504: state0 == init'); /* test the additive 55 shuffle generator */ tmp = srand(0); print '1505: tmp = srand(0)'; vrfy(rand() == 0xc79ef743e2e6849c, \ '1506: rand() == 0xc79ef743e2e6849c'); vrfy(rand() == 0x8d2dcb2bed321284, \ '1507: rand() == 0x8d2dcb2bed321284'); tmp = srand(init); print '1508: tmp = srand(init)'; vrfy(rand() == 0xc79ef743e2e6849c, \ '1509: rand() == 0xc79ef743e2e6849c'); vrfy(rand() == 0x8d2dcb2bed321284, \ '1510: rand() == 0x8d2dcb2bed321284'); /* test range interface */ tmp = srand(0); print '1511: tmp = srand(0)'; vrfy(rand(12345678901234567890) == 0x8d2dcb2bed321284, \ '1512: rand(12345678901234567890) == 0x8d2dcb2bed321284'); vrfy(rand(216091) == 0x13d2b, '1513: rand(216091) == 0x13d2b'); vrfy(rand(100) == 0x26, '1514: rand(100) == 0x26'); vrfy(rand(-46,46) == -0xf, '1515: rand(-46,46) == -0xf'); tmp = srand(0); print '1516: tmp = srand(0)'; vrfy(rand(2^64) == 0xc79ef743e2e6849c, \ '1517: rand(2^64) == 0xc79ef743e2e6849c'); vrfy(rand(0,2^64) == 0x8d2dcb2bed321284, \ '1518: rand(0,2^64) == 0x8d2dcb2bed321284'); /* test different forms of seeding the initial state */ tmp = srand(0); print '1519: tmp = srand(0)'; vrfy(srand() == init, '1520: srand() == init'); tmp = srand(0x87e6ec938ff55aa5<<64); print '1521: tmp = srand(0x87e6ec938ff55aa5<<64)'; vrfy(srand() == init, '1522: srand() == init'); tmp = srand(state0); print '1523: tmp = srand(state0)'; vrfy(srand() == init, '1524: srand() == init'); tmp = srand(init); print '1525: tmp = srand(init)'; vrfy(srand() == init, '1526: srand() == init'); vrfy(tmp == init, '1527: tmp == init'); /* test the bit length interface */ tmp = srand(0); print '1528: tmp = srand(0)'; vrfy(randbit(64) == 0xc79ef743e2e6849c, \ '1529: randbit(64) == 0xc79ef743e2e6849c'); vrfy(randbit(128) == 0x8d2dcb2bed3212844f4ad31f3818af34, \ '1530: randbit(128) == 0x8d2dcb2bed3212844f4ad31f3818af34'); vrfy(randbit(64) == 0x23a252f60bae4907, \ '1531: randbit(64) == 0x23a252f60bae4907'); vrfy(randbit(128) == 0xa8ed5b6203e2b1da32848cd9b3f1e3fa, \ '1532: randbit(128) == 0xa8ed5b6203e2b1da32848cd9b3f1e3fa'); tmp = srand(0); print '1533: tmp = srand(0)'; vrfy(randbit(32) == 0xc79ef743, '1534: randbit(64) == 0xc79ef743'); vrfy(randbit(32) == 0xe2e6849c, '1535: randbit(64) == 0xe2e6849c'); vrfy(randbit(1) == 0x1, '1536: randbit(1) == 0x1'); vrfy(randbit(5) == 0x3, '1537: randbit(5) == 0x3'); vrfy(randbit(33) == 0x96e595f6, '1538: randbit(33) == 0x96e595f6'); vrfy(randbit(25) == 0x1321284, '1539: randbit(25) == 0x1321284'); vrfy(randbit(2) == 0x1, '1540: randbit(2) == 0x1'); vrfy(randbit(13) == 0x7a5, '1541: randbit(13) == 0x7a5'); vrfy(randbit(18) == 0x1a63e, '1542: randbit(19) == 0x1a63e'); vrfy(randbit(8) == 0x70, '1543: randbit(8) == 0x70'); vrfy(randbit(9) == 0x62, '1544: randbit(9) == 0x62'); vrfy(randbit(70) == 0x2f3423a252f60bae49, \ '1545: randbit(70) == 0x2f3423a252f60bae49'); print '1546: test unused'; vrfy(randbit(8) == 0x7, '1547: randbit(8) == 0x7'); vrfy(randbit(65) == 0x151dab6c407c563b4, \ '1548: randbit(65) == 0x151dab6c407c563b4'); vrfy(randbit(63) == 0x32848cd9b3f1e3fa, \ '1549: randbit(63) == 0x32848cd9b3f1e3fa'); /* check to be sure that the srand(1) bug was fixed */ tmp = srand(1); print '1550: tmp = srand(1)'; n = 1; print '1551: n = 1'; vrfy(num(n), '1552: num(n)'); vrfy(den(n), '1553: den(n)'); vrfy(randbit(64) == 0x4280429f8069cb27, \ '1554: randbit(64) == 0x4280429f8069cb27'); /* test randbit skip interface */ tmp = srand(0); print '1555: tmp = srand(0)'; vrfy(randbit(20) == 817647, '1556: randbit(20) == 817647'); vrfy(randbit(20) == 476130, '1557: randbit(20) == 476130'); vrfy(randbit(20) == 944201, '1558: randbit(20) == 944201'); vrfy(randbit(20) == 822573, '1559: randbit(20) == 822573'); tmp = srand(0); print '1560: tmp = srand(0)'; vrfy(randbit(-20) == 20, '1561: randbit(-20) == 20'); vrfy(randbit(20) == 476130, '1562: randbit(20) == 476130'); vrfy(randbit(-20) == 20, '1563: randbit(-20) == 20'); vrfy(randbit(20) == 822573, '1564: randbit(20) == 822573'); /* test randbit without and arg */ tmp = srand(0); print '1565: tmp = srand(0)'; vrfy(randbit() == 1, '1566: randbit() == 1'); vrfy(randbit() == 1, '1567: randbit() == 1'); vrfy(randbit() == 0, '1568: randbit() == 0'); print '1569: Ending rand test'; } print '025: parsed test_rand()'; /* * Config mode/base testing */ define test_mode() { local tmp; print '1600: Beginning mode/base test'; tmp = config("mode", "frac"); print '1601: tmp = config("mode", "frac")'; tmp = config("mode", "frac"); print '1602: tmp = config("mode", "frac")'; vrfy(base() == 1/3, '1603: base() == 1/3'); tmp = config("mode", "int"); print '1604: tmp = config("mode", "int")'; vrfy(tmp == "frac", '1605: tmp == "frac"'); vrfy(base() == -10, '1606: base() == -10'); tmp = config("mode", "real"); print '1607: tmp = config("mode", "real")'; vrfy(tmp == "int", '1608: tmp == "int"'); vrfy(base() == 10, '1609: base() == 10'); tmp = config("mode", "exp"); print '1610: tmp = config("mode", "exp")'; vrfy(tmp == "real", '1611: tmp == "real"'); vrfy(base() == 1e20, '1612: base() == 1e20'); tmp = config("mode", "hex"); print '1613: tmp = config("mode", "hex")'; vrfy(tmp == "exp", '1614: tmp == "exp"'); vrfy(base() == 16, '1615: base() == 16'); tmp = config("mode", "oct"); print '1616: tmp = config("mode", "oct")'; vrfy(tmp == "hexadecimal", '1617: tmp == "hexadecimal"'); vrfy(base() == 8, '1618: base() == 8'); tmp = config("mode", "bin"); print '1619: tmp = config("mode", "bin")'; vrfy(tmp == "octal", '1620: tmp == "octal"'); vrfy(base() == 2, '1621: base() == 2'); tmp = config("mode", "real"); print '1622: tmp = config("mode", "real")'; vrfy(tmp == "binary", '1623: tmp == "binary"'); tmp = base(1/3); print '1624: tmp = base(1/3)'; vrfy(config("mode") == "frac", '1625: config("mode") == "frac"'); tmp = base(-10); print '1626: tmp = base(-10)'; vrfy(config("mode") == "int", '1627: config("mode") == "int"'); tmp = base(10); print '1628: tmp = base(10)'; vrfy(config("mode") == "real", '1629: config("mode") == "real"'); tmp = base(1e20); print '1630: tmp = base(1e20)'; vrfy(config("mode") == "exp", '1631: config("mode") == "exp"'); tmp = base(16); print '1632: tmp = base(16)'; vrfy(config("mode") == "hexadecimal", \ '1633: config("mode") == "hexadecimal"'); tmp = base(8); print '1634: tmp = base(8)'; vrfy(config("mode") == "octal", '1635: config("mode") == "octal"'); tmp = base(2); print '1636: tmp = base(2)'; vrfy(config("mode") == "binary",'1637: config("mode") == "binary"'); tmp = base(8); print '1638: tmp = base(8)'; vrfy(str(0x80000000) == "020000000000", \ '1639: str(0x8000000) == \"020000000000\"'); vrfy(str(0xffffffff) == "037777777777", \ '1640: str(0xffffffff) == \"037777777777\"'); vrfy(str(3e9) == "026264057000", \ '1641: str(3e9) == \"026264057000\"'); tmp = base(16); print '1642: tmp = base(16)'; vrfy(str(0x80000000) == "0x80000000", \ '1643: str(0x8000000) == \"0x80000000\"'); vrfy(str(0xffffffff) == "0xffffffff", \ '1644: str(0xffffffff) == \"0xffffffff\"'); vrfy(str(3e9) == "0xb2d05e00", \ '1645: str(3e9) == \"0xb2d05e00\"'); tmp = base(10); print '1646: tmp = base(10)'; vrfy(config("mode") == "real", \ '1647: config("mode") == "real"'); vrfy(str(0x80000000) == "2147483648", \ '1648: str(0x80000000) == \"2147483648\"'); vrfy(str(0xffffffff) == "4294967295", \ '1649: str(0xffffffff) == \"4294967295\"'); vrfy(str(3e9) == "3000000000", \ '1650: str(3e9) == \"3000000000\"'); print '1651: Ending mode/base test'; } print '026: parsed test_mode()'; /* * The 1700's contain tests for reading scripts. These tests are * done inline near the bottom. */ /* * Test objects */ read -once "surd"; print '027: read -once surd'; /**/ define test_obj() { static obj surd a; static obj surd b; print '1800: Beginning object test'; surd_type = -1; vrfy(surd_type == -1, '1801: surd_type == -1'); a = surd(2,3); print '1802: a = surd(2,3)'; vrfy(a == surd(2,3), '1803: a == surd(2,3)'); vrfy(surd_value(a) == 2+3i, '1804: surd_value(a) == 2+3i'); vrfy(conj(a) == surd(2,-3), '1805: conj(a) == surd(2,-3)'); vrfy(norm(a) == 13, '1806: norm(a) == 13'); vrfy(a+1 == surd(3,3), '1807: a+1 == surd(3,3)'); b = surd(3,4); print '1808: b = surd(3,4)'; vrfy(a+b == surd(5,7), '1809: a+b == surd(5,7)'); vrfy(a-b == surd(-1,-1), '1810: a-b == surd(-1,-1)'); vrfy(++a == surd(3,3), '1811: ++a == surd(3,3)'); vrfy(--a == surd(2,3), '1812: --a == surd(2,3)'); vrfy(-a == surd(-2,-3), '1813: -a == surd(-2,-3)'); vrfy(a*2 == surd(4,6), '1814: a*2 == surd(4,6)'); vrfy(a*b == surd(-6,17), '1815: a*b == surd(-6,17)'); vrfy(a^2 == surd(-5,12), '1816: a^2 == surd(-5,12)'); vrfy(scale(a,2) == surd(8,12), '1817: scale(a,2) == surd(8,12)'); vrfy(a<<3 == surd(16,24), '1818: a<<3 == surd(16,24)'); vrfy(a/2 == surd(1,1.5), '1819: a/2 == surd(1,1.5)'); vrfy(a/b == surd(0.72,0.04), '1820: a/b == surd(0.72,0.04)'); vrfy(1/b == surd(0.12,-0.16), '1821: 1/b == surd(0.12,-0.16)'); vrfy(inverse(b) == 1/b, '1822: inverse(b) == 1/b'); vrfy(a != b, '1823: a != b'); surd_type = 2; print '1824: surd_type = 2'; vrfy(surd_type == 2, '1825: surd_type == 2'); vrfy(sgn(a) == 1, '1826: sgn(a) == 1'); vrfy(a < b, '1827: a < b'); vrfy(a <= a, '1828: a < a'); vrfy(isobj(a) == 1, '1829: isobj(a) == 1'); print '1830: Ending object test'; } print '028: parsed test_obj()'; /* * Prime builtin function testing */ define test_prime() { print '1900: Beginning prime builtins test'; vrfy(isprime(-3) == 1, '1901: isprime(-3) == 1'); vrfy(isprime(-1) == 0, '1902: isprime(-1) == 0'); vrfy(isprime(0) == 0, '1903: isprime(0) == 0'); vrfy(isprime(1) == 0, '1904: isprime(1) == 0'); vrfy(isprime(2) == 1, '1905: isprime(2) == 1'); vrfy(isprime(3) == 1, '1906: isprime(3) == 1'); vrfy(isprime(4) == 0, '1907: isprime(4) == 0'); vrfy(isprime(5) == 1, '1908: isprime(5) == 1'); vrfy(isprime(17) == 1, '1909: isprime(17) == 1'); vrfy(isprime(100) == 0, '1910: isprime(100) == 0'); vrfy(isprime(21701,-1) == 1, '1911: isprime(21701,-1) == 1'); vrfy(isprime(65521,-1) == 1, '1912: isprime(65521,-1) == 1'); vrfy(isprime(65535,-1) == 0, '1913: isprime(65535,-1) == 0'); vrfy(isprime(65536,-1) == 0, '1914: isprime(65536,-1) == 0'); vrfy(isprime(1234577) == 1, '1915: isprime(1234577) == 1'); vrfy(isprime(1234579) == 0, '1916: isprime(1234579) == 0'); vrfy(isprime(2^31-9) == 0, '1917: isprime(2^31-9) == 0'); vrfy(isprime(2^31-1) == 1, '1918: isprime(2^31-1) == 1'); vrfy(isprime(2^31+9) == 0, '1919: isprime(2^31+11) == 0'); vrfy(isprime(2^31+11) == 1, '1920: isprime(2^31+11) == 1'); vrfy(isprime(3e9) == 0, '1921: isprime(3e9) == 0'); vrfy(isprime(3e9+19) == 1, '1922: isprime(3e9+19) == 1'); vrfy(isprime(2^32-7) == 0, '1923: isprime(2^32-7) == 0'); vrfy(isprime(2^32-5) == 1, '1924: isprime(2^32-5) == 1'); vrfy(isprime(2^32,-1) == 0, '1925: isprime(2^32,-1) == 0'); vrfy(isprime(2^32+1,-1) == -1, '1926: isprime(2^32+1,-1) == -1'); vrfy(isprime(3^99,2) == 2, '1927: isprime(3^99,2) == 2'); vrfy(isprime(4^99,2) == 0, '1928: isprime(3^99,2) == 0'); vrfy(nextprime(-3) == 5, '1929: nextprime(-3) == 5'); vrfy(nextprime(0) == 2, '1930: nextprime(0) == 2'); vrfy(nextprime(1) == 2, '1931: nextprime(1) == 2'); vrfy(nextprime(2) == 3, '1932: nextprime(2) == 3'); vrfy(nextprime(3) == 5, '1933: nextprime(3) == 5'); vrfy(nextprime(4) == 5, '1934: nextprime(4) == 5'); vrfy(nextprime(5) == 7, '1935: nextprime(5) == 7'); vrfy(nextprime(17) == 19, '1936: nextprime(17) == 19'); vrfy(nextprime(100) == 101, '1937: nextprime(100) == 101'); vrfy(nextprime(21701,-1) == 21713, '1938: nextprime(21701,-1) == 21713'); vrfy(nextprime(65519) == 65521, '1939: nextprime(65519) == 65521'); vrfy(nextprime(65520) == 65521, '1940: nextprime(65520) == 65521'); vrfy(nextprime(65521,-1) == 65537, '1941: nextprime(65521,-1) == 65537'); vrfy(nextprime(65531) == 65537, '1942: nextprime(65531) == 65537'); vrfy(nextprime(65535,-1) == 65537, '1943: nextprime(65535,-1) == 65537'); vrfy(nextprime(65536) == 65537, '1944: nextprime(65536) == 65537'); vrfy(nextprime(1234576,2)==1234577, '1945: nextprime(1234576,2)==1234577'); vrfy(nextprime(2^31-9) == 2^31-1, '1946: nextprime(2^31-9) == 2^31-1'); vrfy(nextprime(2^31-1) == 2^31+11, '1947: nextprime(2^31-1) == 2^31+11'); vrfy(nextprime(3e9) == 3e9+19,'1948: nextprime(3e9) == 3e9+19'); vrfy(nextprime(2^32-7) == 2^32-5, '1949: nextprime(2^32-7) == 2^32-5'); vrfy(nextprime(2^32,-1) == -1, '1950: nextprime(2^32,-1) == -1'); vrfy(nextprime(2^32+5,-1) == -1,'1951: nextprime(2^32+5,-1) == -1'); vrfy(nextprime(3^99,-1) == -1, '1952: nextprime(3^99,-1) == -1'); vrfy(nextprime(3^99,2) == 2, '1953: nextprime(3^99,2) == 2'); vrfy(prevprime(-3,-1) == 2, '1954: prevprime(-3,-1) == 2'); vrfy(prevprime(0,-1) == 0, '1955: prevprime(0,-1) == 0'); vrfy(prevprime(1,-1) == 0, '1956: prevprime(1,-1) == 0'); vrfy(prevprime(2,-2) == 0, '1957: prevprime(2,-2) == 0'); vrfy(prevprime(5) == 3, '1958: prevprime(5) == 3'); vrfy(prevprime(4) == 3, '1959: prevprime(4) == 3'); vrfy(prevprime(7) == 5, '1960: prevprime(7) == 5'); vrfy(prevprime(19) == 17, '1961: prevprime(19) == 17'); vrfy(prevprime(100) == 97, '1962: prevprime(100) == 97'); vrfy(prevprime(21713,-1) == 21701, '1963: prevprime(21713,-1) == 21701'); vrfy(prevprime(65520) == 65519, '1964: prevprime(65520) == 65519'); vrfy(prevprime(65521) == 65519, '1965: prevprime(65521) == 65519'); vrfy(prevprime(65522) == 65521, '1966: prevprime(65520) == 65521'); vrfy(prevprime(65523) == 65521, '1967: prevprime(65523) == 65521'); vrfy(prevprime(65531) == 65521, '1968: prevprime(65531) == 65521'); vrfy(prevprime(65535) == 65521, '1969: prevprime(65535) == 65521'); vrfy(prevprime(65536) == 65521, '1970: prevprime(65536) == 65521'); vrfy(prevprime(65537) == 65521, '1971: prevprime(65537) == 65521'); vrfy(prevprime(65539) == 65537, '1972: prevprime(65539) == 65537'); vrfy(prevprime(1234578,2)==1234577, '1973: prevprime(1234578,2)==1234577'); vrfy(prevprime(2^31-1) == 2^31-19, '1974: prevprime(2^31-1) == 2^31-19'); vrfy(prevprime(2^31+11) == 2^31-1, '1975: prevprime(2^31+11) == 2^31-1'); vrfy(prevprime(3e9) == 3e9-71,'1976: prevprime(3e9) == 3e9-17'); vrfy(prevprime(2^32-3) == 2^32-5, '1977: prevprime(2^32-3) == 2^32-5'); vrfy(prevprime(2^32-1) == 2^32-5, '1978: prevprime(2^32-1) == 2^32-5'); vrfy(prevprime(2^32,-1) == -1, '1979: prevprime(2^32,-1) == -1'); vrfy(prevprime(3^99,-1) == -1, '1980: prevprime(3^99,-1) == -1'); vrfy(prevprime(3^99,2) == 2, '1981: prevprime(3^99,2) == 2'); vrfy(pix(-1) == 0, '1982: pix(-1) == 0'); vrfy(pix(1) == 0, '1983: pix(1) == 0'); vrfy(pix(2) == 1, '1984: pix(2) == 1'); vrfy(pix(3) == 2, '1985: pix(3) == 2'); vrfy(pix(100) == 25, '1986: pix(100) == 25'); vrfy(pix(1000) == 168, '1987: pix(1000) == 168'); vrfy(pix(10000) == 1229, '1988: pix(10000) == 1229'); vrfy(pix(100000) == 9592, '1989: pix(100000) == 9592'); vrfy(pix(2^19+59) == 43393, '1990: pix(2^19+59) == 43393'); vrfy(pix(1000000) == 78498, '1991: pix(1000000) == 78498'); vrfy(pix(10000000) == 664579, '1992: pix(10000000) == 664579'); vrfy(pix(2^32-6) == 203280220, '1993: pix(2^32-6) == 203280220'); vrfy(pix(2^32-5) == 203280221, '1994: pix(2^32-5) == 203280221'); vrfy(pix(2^32-1) == 203280221, '1995: pix(2^32-1) == 203280221'); vrfy(pfact(40) == 7420738134810,'1996: pfact(40) == 7420738134810'); vrfy(pfact(200)/pfact(198)==199,'1997: pfact(200)/pfact(198)==199'); vrfy(nextprime(3e9)==nextcand(3e9), '1998: nextprime(3e9)==nextcand(3e9)'); vrfy(prevprime(3e9)==prevcand(3e9), '1999: prevprime(3e9)==prevcand(3e9)'); vrfy(nextcand(2^100,0)-2^100 == 3, '2000: nextcand(2^100,0)-2^100 == 3'); vrfy(nextcand(2^100)-2^100 == 277, '2001: nextcand(2^100)-2^100 == 277'); vrfy(2^100-prevcand(2^100,0) == 5, '2002: 2^100-prevcand(2^100,0) == 5'); vrfy(2^100-prevcand(2^100) == 15, '2003: 2^100-prevcand(2^100) == 15'); vrfy(nextcand(2^50,4,5)-2^50 == 55, '2004: nextcand(2^50,4,5)-2^50 == 55'); vrfy(2^50-prevcand(2^50,4,5) == 27, '2005: 2^50-prevcand(2^50,4,5) == 27'); vrfy(nextprime(2^32-6) == 2^32-5, '2006: nextprime(2^32-6) == 2^32-5'); vrfy(nextprime(2^32-5) == 2^32+15, '2007: nextprime(2^32-5) == 2^32+15'); vrfy(prevprime(2^32-1) == 2^32-5, '2008: prevprime(2^32-1) == 2^32-5'); vrfy(prevcand(2^50,4,5,0,4) == 0, '2009: prevcand(2^50,4,5,0,4) == 0'); vrfy(2^50-prevcand(2^50,4,5,1,4) == 27, '2010: 2^50-prevcand(2^50,4,5,1,4) == 27'); vrfy(prevcand(2^50,4,5,2,4) == 2, '2011: prevcand(2^50,4,5,2,4) == 2'); vrfy(2^50-prevcand(2^50,4,5,3,4) == 113, '2012: 2^50-prevcand(2^50,4,5,3,4) == 113'); vrfy(2^50-prevcand(2^50,4,5,7,17) == 813, '2013: 2^50-prevcand(2^50,4,5,7,17) == 813'); vrfy(nextcand(2^50,4,5,0,4) == 0, '2014: nextcand(2^50,4,5,0,4) == 0'); vrfy(nextcand(2^50,4,5,1,4)-2^50 == 145, '2015: nextcand(2^50,4,5,1,4)-2^50 == 145'); vrfy(nextcand(2^50,4,5,2,4) == 0, '2016: nextcand(2^50,4,5,2,4) == 0'); vrfy(nextcand(2^50,4,5,3,4)-2^50 == 55, '2017: nextcand(2^50,4,5,3,4)-2^50 == 55'); vrfy(nextcand(2^50,4,5,7,17)-2^50 == 853, '2018: nextcand(2^50,4,5,7,17)-2^50 == 853'); vrfy(ptest(2^100+277) == 1, '2019: ptest(2^100+277) == 1'); vrfy(ptest(2^50-27,4,5) == 1, '2020: ptest(2^50-27,4,5) == 1'); vrfy(ptest(2^50+55,4,5) == 1, '2021: ptest(2^50+55,4,5) == 1'); vrfy(ptest(2^32+1,10) == 0, '2022: ptest(2^32+1,10) == 0'); vrfy(lfactor(1001,100) == 7, '2023: lfactor(1001,100) == 7'); vrfy(lfactor(1001,4) == 7, '2024: lfactor(1001,4) == 7'); vrfy(lfactor(1001,3) == 1, '2025: lfactor(1001,3) == 1'); vrfy(lfactor(127,10000) == 1, '2026: lfactor(127,10000) == 1'); vrfy(lfactor(2^19-1,10000) == 1,'2027: lfactor(2^19-1,10000) == 1'); vrfy(lfactor(2^31-1,10000) == 1,'2028: lfactor(2^31-1,10000) == 1'); vrfy(lfactor(2^32-5,10000) == 1,'2029: lfactor(2^32-5,10000) == 1'); vrfy(lfactor(2^38+7,50000) == 1,'2030: lfactor(2^38+7,50000) == 1'); vrfy(lfactor(1009^2,pix(1009)) == 1009, '2031: lfactor(1009^2,pix(1009)) == 1009'); vrfy(lfactor(1009^2,pix(1009)-1) == 1, '2032: lfactor(1009^2,pix(1009)-1) == 1'); vrfy(lfactor(65519*65521,7000) == 65519, '2033: lfactor(65519*65521,7000) == 65519'); vrfy(lfactor(65521^2,pix(65521)) == 65521, '2034: lfactor(65521^2,pix(65521)) == 65521'); vrfy(lfactor(65521^2,pix(65521)-1) == 1, '2035: lfactor(65521^2,pix(65521)-1) == 1'); vrfy(lfactor(524309^6,100000) == 524309, '2036: lfactor(524309^6,100000) == 524309'); print '2037: Ending prime builtins test'; } print '029: parsed test_prime()'; /* * Test the Lucas primality test library */ read -once "lucas_chk"; /* obtain our needed Lucas library */ print '030: read lucas_chk'; /**/ define test_lucas() { print '2100: Beginning lucas check test'; vrfy(lucas_chk(100,1) == 1, '2101: lucas_chk(100,1) == 1'); print '2102: Ending lucas check test'; } print '031: parsed test_lucas()'; /* * Test new operator functionality */ define test_newop() { static mat A[3] = {1,2,3}; static mat A2[3] = {1,2,3}; local B; local v; local a; local b; print '2200: Beginning new operator functionality test'; (v = 3) = 4; print '2201: (v = 3) = 4'; vrfy(v == 4, '2202: v == 4'); (v += 3) *= 4; print '2203: (v += 3) *= 4'; vrfy(v == 28, '2204: v == 28'); vrfy(A == A2, '2205: A == A2'); matfill(B = A, 4); print '2206: matfill(B = A, 4)'; vrfy(A == A2, '2207: A == A2'); vrfy(size(B) == 3, '2208: size(B) == 3'); vrfy(B[0] == 4, '2209: B[0] == 4'); vrfy(B[1] == 4, '2210: B[1] == 4'); vrfy(B[2] == 4, '2211: B[2] == 4'); a = 3; print '2212: a = 3'; ++(b = a); print '2213: ++(b = a)'; vrfy(a == 3, '2214: a == 3'); vrfy(b == 4, '2215: b == 4'); ++++a; print '2216: ++++a'; vrfy(a == 5, '2217: a == 5'); vrfy((++a)++ == 6, '2218: (++a)++ == 6'); vrfy(a == 7, '2219: a == 7'); (++a) *= b; print '2220: (++a) *= b'; vrfy(a == 32, '2221: a == 32'); vrfy(b == 4, '2222: b == 4'); vrfy(++(a*=b) == 129, '2223: ++(a*=b) == 129'); vrfy(a == 129, '2224: a == 129'); vrfy(b == 4, '2225: b == 4'); vrfy((a = (--a / b++))-- == 32, '2226: (a = (--a / b++))-- == 32'); vrfy(a == 31, '2227: a == 31'); vrfy(b == 5, '2228: b == 5'); vrfy((++++a / ----b) == 11, '2229: (++++a / ----b) == 11'); vrfy(a == 33, '2230: a == 33'); vrfy(b == 3, '2231: b == 3'); vrfy((a/=(--a/++b))-- == 4, '2232: (a/=(--a/++b))-- == 4'); vrfy(a == 3, '2233: a == 3'); vrfy(b == 4, '2234: b == 4'); v = a----; print '2235: v = a----'; vrfy(v == 3, '2236: v == 3'); vrfy(a == 1, '2237: a == 1'); a = ----v; print '2238: a = ----v'; vrfy(a == 1, '2239: a == 1'); vrfy(v == 1, '2240: v == 1'); v = a++++; print '2241: v = a++++'; vrfy(a == 3, '2242: a == 3'); vrfy(v == 1, '2243: v == 1'); a = ++++v; print '2244: a = ++++v'; vrfy(a == 3, '2245: a == 3'); vrfy(v == 3, '2246: v == 3'); a = ----v----; print '2247: a = ----v----'; vrfy(a == 1, '2248: a == 1'); vrfy(v == -1, '2249: v == -1'); v = ++++a++++; print '2250: v = ++++a++++'; vrfy(a == 5, '2251: a == 5'); vrfy(v == 3, '2252: v == 3'); a = ++++v----; print '2253: a = ++++v----'; vrfy(a == 5, '2254: a == 5'); vrfy(v == 3, '2255: v == 3'); v = --++a--++; print '2256: v = --++a--++'; vrfy(a == 5, '2257: a == 5'); vrfy(v == 5, '2258: v == 5'); a = -++v; print '2259: a = -++v'; vrfy(a == -6, '2260: a == -6'); vrfy(v == 6, '2261: v == 6'); print '2262: Ending new operator functionality test'; } print '032: parsed test_newop()'; /* * Test object increment/decrement */ read -once "test2300"; print '033: read -once test2300'; /**/ define test_xx_incdec() { local A, B; print '2300: Beginning object increment/decrement test'; A = mkmat(1,2,3); print '2301: A = mkmat(1,2,3)'; vrfy(ckmat(A,1,2,3) == 1, '2302: ckmat(A,1,2,3) == 1'); B = A++; print '2303: B = A++'; vrfy(ckmat(B,1,2,3) == 1, '2304: ckmat(B,1,2,3) == 1'); vrfy(ckmat(A,2,3,4) == 1, '2305: ckmat(A,2,3,4) == 1'); B = A--; print '2306: B = A--'; vrfy(ckmat(A,1,2,3) == 1, '2307: ckmat(A,1,2,3) == 1'); vrfy(ckmat(B,2,3,4) == 1, '2308: ckmat(B,2,3,4) == 1'); B = ++A; print '2309: B = ++A'; vrfy(ckmat(A,2,3,4) == 1, '2310: ckmat(A,2,3,4) == 1'); vrfy(ckmat(B,2,3,4) == 1, '2311: ckmat(B,2,3,4) == 1'); B = --A; print '2312: B = --A'; vrfy(ckmat(A,1,2,3) == 1, '2313: ckmat(A,1,2,3) == 1'); vrfy(ckmat(B,1,2,3) == 1, '2314: ckmat(B,1,2,3) == 1'); print '2315: Ending object increment/decrement test'; } print '034: parsed test_xx_incdec()'; /* * testing rounding config modes */ define test_round() { local mode; print '2400: Beginning config rounding mode test'; /* appr mode 0 */ mode = 0; print '2401: mode = 0'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2402: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.4, '2403: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 5, '2404: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -6, '2405: appr(-5.7,1,mode) == -6'); vrfy(appr(-5.44,-0.1,mode) == -5.4, '2406: appr(-5.44,-0.1,mode) == -5.4'); vrfy(appr(5.44,-0.1,mode) == 5.5, '2407: appr(5.44,-0.1,mode) == 5.5'); vrfy(appr(5.7,-1,mode) == 6, '2408: appr(5.7,-1,mode) == 6'); vrfy(appr(-5.7,-1,mode) == -5, '2409: appr(-5.7,-1,mode) == -5'); /* appr mode 1 */ mode = 1; print '2410: mode = 1'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2411: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.5, '2412: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 6, '2413: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -5, '2414: appr(-5.7,1,mode) == -5'); vrfy(appr(-5.44,-0.1,mode) == -5.5, '2415: appr(-5.44,-0.1,mode) == -5.5'); vrfy(appr(5.44,-0.1,mode) == 5.4, '2416: appr(5.44,-0.1,mode) == 5.4'); vrfy(appr(5.7,-1,mode) == 5, '2417: appr(5.7,-1,mode) == 5'); vrfy(appr(-5.7,-1,mode) == -6, '2418: appr(-5.7,-1,mode) == -6'); /* appr mode 2 */ mode = 2; print '2419: mode = 2'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2420: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.4, '2421: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 5, '2422: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -5, '2423: appr(-5.7,1,mode) == -5'); /* appr mode 3 */ mode = 3; print '2424: mode = 3'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2425: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.5, '2426: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 6, '2427: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -6, '2428: appr(-5.7,1,mode) == -6'); /* appr mode 4 */ mode = 4; print '2429: mode = 4'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2430: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.4, '2431: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 5, '2432: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -6, '2433: appr(-5.7,1,mode) == -6'); /* appr mode 5 */ mode = 5; print '2434: mode = 5'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2435: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.5, '2436: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 6, '2437: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -5, '2438: appr(-5.7,1,mode) == -5'); /* appr mode 6 */ mode = 6; print '2439: mode = 6'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2440: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.4, '2441: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 5, '2442: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -5, '2443: appr(-5.7,1,mode) == -5'); vrfy(appr(-5.44,-0.1,mode) == -5.5, '2444: appr(-5.44,-0.1,mode) == -5.5'); vrfy(appr(5.44,-0.1,mode) == 5.5, '2445: appr(5.44,-0.1,mode) == 5.5'); vrfy(appr(5.7,-1,mode) == 6, '2446: appr(5.7,-1,mode) == 6'); vrfy(appr(-5.7,-1,mode) == -6, '2447: appr(-5.7,-1,mode) == -6'); /* appr mode 7 */ mode = 7; print '2448: mode = 7'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2449: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.5, '2450: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 6, '2451: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -6, '2452: appr(-5.7,1,mode) == -6'); vrfy(appr(-5.44,-0.1,mode) == -5.4, '2453: appr(-5.44,-0.1,mode) == -5.4'); vrfy(appr(5.44,-0.1,mode) == 5.4, '2454: appr(5.44,-0.1,mode) == 5.4'); vrfy(appr(5.7,-1,mode) == 5, '2455: appr(5.7,-1,mode) == 5'); vrfy(appr(-5.7,-1,mode) == -5, '2456: appr(-5.7,-1,mode) == -5'); /* appr mode 8 */ mode = 8; print '2457: mode = 8'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2458: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.4, '2459: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 6, '2460: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -6, '2461: appr(-5.7,1,mode) == -6'); /* appr mode 9 */ mode = 9; print '2462: mode = 9'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2463: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.5, '2464: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 5, '2465: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -5, '2466: appr(-5.7,1,mode) == -5'); /* appr mode 10 */ mode = 10; print '2467: mode = 10'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2468: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.4, '2469: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 6, '2470: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -5, '2471: appr(-5.7,1,mode) == -5'); vrfy(appr(-5.44,-0.1,mode) == -5.4, '2472: appr(-5.44,-0.1,mode) == -5.4'); vrfy(appr(5.44,-0.1,mode) == 5.5, '2473: appr(5.44,-0.1,mode) == 5.5'); vrfy(appr(5.7,-1,mode) == 5, '2474: appr(5.7,-1,mode) == 5'); vrfy(appr(-5.7,-1,mode) == -6, '2475: appr(-5.7,-1,mode) == -6'); /* appr mode 11 */ mode = 11; print '2476: mode = 11'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2477: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.5, '2478: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 5, '2479: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -6, '2480: appr(-5.7,1,mode) == -6'); vrfy(appr(-5.44,-0.1,mode) == -5.5, '2481: appr(-5.44,-0.1,mode) == -5.5'); vrfy(appr(5.44,-0.1,mode) == 5.4, '2482: appr(5.44,-0.1,mode) == 5.4'); vrfy(appr(5.7,-1,mode) == 6, '2483: appr(5.7,-1,mode) == 6'); vrfy(appr(-5.7,-1,mode) == -5, '2484: appr(-5.7,-1,mode) == -5'); /* appr mode 12 */ mode = 12; print '2485: mode = 12'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2486: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.4, '2487: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 6, '2488: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -6, '2489: appr(-5.7,1,mode) == -6'); vrfy(appr(-5.44,-0.1,mode) == -5.5, '2490: appr(-5.44,-0.1,mode) == -5.5'); vrfy(appr(5.44,-0.1,mode) == 5.5, '2491: appr(5.44,-0.1,mode) == 5.5'); vrfy(appr(5.7,-1,mode) == 5, '2492: appr(5.7,-1,mode) == 5'); vrfy(appr(-5.7,-1,mode) == -5, '2493: appr(-5.7,-1,mode) == -5'); /* appr mode 13 */ mode = 13; print '2494: mode = 13'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2495: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.5, '2496: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 5, '2497: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -5, '2498: appr(-5.7,1,mode) == -5'); vrfy(appr(-5.44,-0.1,mode) == -5.4, '2499: appr(-5.44,-0.1,mode) == -5.4'); vrfy(appr(5.44,-0.1,mode) == 5.4, '2500: appr(5.44,-0.1,mode) == 5.4'); vrfy(appr(5.7,-1,mode) == 6, '2501: appr(5.7,-1,mode) == 6'); vrfy(appr(-5.7,-1,mode) == -6, '2502: appr(-5.7,-1,mode) == -6'); /* appr mode 14 */ mode = 14; print '2503: mode = 14'; vrfy(appr(-5.44,0.1,mode) == -5.5, '2504: appr(-5.44,0.1,mode) == -5.5'); vrfy(appr(5.44,0.1,mode) == 5.4, '2505: appr(5.44,0.1,mode) == 5.4'); vrfy(appr(5.7,1,mode) == 6, '2506: appr(5.7,1,mode) == 6'); vrfy(appr(-5.7,1,mode) == -5, '2507: appr(-5.7,1,mode) == -5'); vrfy(appr(-5.44,-0.1,mode) == -5.5, '2508: appr(-5.44,-0.1,mode) == -5.5'); vrfy(appr(5.44,-0.1,mode) == 5.4, '2509: appr(5.44,-0.1,mode) == 5.4'); vrfy(appr(5.7,-1,mode) == 6, '2510: appr(5.7,-1,mode) == 6'); vrfy(appr(-5.7,-1,mode) == -5, '2511: appr(-5.7,-1,mode) == -5'); /* appr mode 15 */ mode = 15; print '2512: mode = 15'; vrfy(appr(-5.44,0.1,mode) == -5.4, '2513: appr(-5.44,0.1,mode) == -5.4'); vrfy(appr(5.44,0.1,mode) == 5.5, '2514: appr(5.44,0.1,mode) == 5.5'); vrfy(appr(5.7,1,mode) == 5, '2515: appr(5.7,1,mode) == 5'); vrfy(appr(-5.7,1,mode) == -6, '2516: appr(-5.7,1,mode) == -6'); vrfy(appr(-5.44,-0.1,mode) == -5.4, '2517: appr(-5.44,-0.1,mode) == -5.4'); vrfy(appr(5.44,-0.1,mode) == 5.5, '2518: appr(5.44,-0.1,mode) == 5.5'); vrfy(appr(5.7,-1,mode) == 5, '2519: appr(5.7,-1,mode) == 5'); vrfy(appr(-5.7,-1,mode) == -6, '2520: appr(-5.7,-1,mode) == -6'); print '2521: Ending config rounding mode test'; } print '035: parsed test_round()'; /* * Test certain numeric functions extensively * * Test multiplication, sqrt(), exp(), ln(), power(), gcd(), complex * power, complex exp, complex log. */ read -once "test2600"; print '036: read -once test2600'; define test_2600() { local tnum; /* test number */ local i; print '2600: Beginning extensive numeric function test'; i = config("sqrt"); print '2601: i = config("sqrt")'; tnum = test2600(1, 2602); i = config("sqrt", i); print tnum++: ': i = config("sqrt", i)'; print tnum: ': Ending extensive numeric function test'; } print '037: parsed test_2600()'; /* * Test complex sqrt */ read -once "test2700"; print '038: read -once test2700'; define test_2700() { local tnum; /* test number */ print '2700: Beginning complex sqrt test'; tnum = test2700(1, 2701); print tnum: ': Ending complex sqrt test'; } print '039: parsed test_2700()'; /* * Test matrix operations */ mat mat_C[2] = {1,2}; print '040: mat mat_C[2] = {1,2}'; mat_C[0] = mat_C; print '041: C[0] = mat_C'; global mat_D; print '042: global mat_D'; /**/ define test_matrix() { static mat b[4,4]; static mat binv[4,4] = { 0, 1, 0, 0, 2, -3/2, 2, -1/2, -3, 0.5, -1.0, 0.5, 1.0, 0.0, 0.0, 0.0 }; static mat c[] = { 1, 2+3i, -5+4i, 5i+6, -7i }; static mat d[-1:1, -2:2, -3:3, -4:4]; static mat A[2] = {1,2}; static mat id0[2,2] = {1,0,0,1}; static mat id1[0:2,-1:1] = {1,0,0,0,1,0,0,0,1}; static mat noid0[2,2] = {1,2,0,1}; static mat noid1[2,3] = {1,0,0,1,0,0}; static mat noid2[4] = {1,0,0,1}; static mat xp[3] = {2,3,4}; static mat yp[3] = {3,4,5}; static mat zp[3] = {-1,2,-1}; static mat X[2,2] = {1,2,3,4}; static mat Y[2,2] = {5,6,7,8}; static mat Z[2,2] = {190,232,286,352}; static mat x[] = {11,13,17,23,29}; static mat y0[] = {1,3,7,3,9}; static mat y1[] = {-9,-7,-3,-7,-1}; static mat y2[] = {-9,-7,-3,3,9}; static mat y3[] = {1,3,7,-7,-1}; static mat y4[] = {1,3,-3,3,-1}; local B; local mat e[5,5]; local mat M[2]; local mat zero3[3]; print '2800: Beginning test_matrix'; b[0,0] = 0; vrfy(b[0,0] == 0, '2801: b[0,0] == 0'); b[0,1] = 0; vrfy(b[0,1] == 0, '2802: b[0,1] == 0'); b[0,2] = 0; vrfy(b[0,2] == 0, '2803: b[0,2] == 0'); b[0,3] = 1; vrfy(b[0,3] == 1, '2804: b[0,3] == 1'); b[1,0] = 1; vrfy(b[1,0] == 1, '2805: b[1,0] == 1'); b[1,1] = 0; vrfy(b[1,1] == 0, '2806: b[1,1] == 0'); b[1,2] = 0; vrfy(b[1,2] == 0, '2807: b[1,2] == 0'); b[1,3] = 0; vrfy(b[1,3] == 0, '2808: b[1,3] == 0'); b[2,0] = 1; vrfy(b[2,0] == 1, '2809: b[2,0] == 1'); b[2,1] = 1; vrfy(b[2,1] == 1, '2810: b[2,1] == 1'); b[2,2] = 1; vrfy(b[2,2] == 1, '2811: b[2,2] == 1'); b[2,3] = 1; vrfy(b[2,3] == 1, '2812: b[2,3] == 1'); b[3,0] = 1; vrfy(b[3,0] == 1, '2813: b[3,0] == 1'); b[3,1] = 2; vrfy(b[3,1] == 2, '2814: b[3,1] == 2'); b[3,2] = 4; vrfy(b[3,2] == 4, '2815: b[3,2] == 4'); b[3,3] = 8; vrfy(b[3,3] == 8, '2816: b[3,3] == 8'); vrfy(det(b) == -2, '2817: det(b) == -2'); vrfy(binv[0,0] == 0, '2818: binv[0,0] == 0'); vrfy(binv[0,1] == 1, '2819: binv[0,1] == 1'); vrfy(binv[0,2] == 0, '2820: binv[0,2] == 0'); vrfy(binv[0,3] == 0, '2821: binv[0,3] == 0'); vrfy(binv[1,0] == 2, '2822: binv[1,0] == 2'); vrfy(binv[1,1] == -3/2, '2823: binv[1,1] == -3/2'); vrfy(binv[1,2] == 2, '2824: binv[1,2] == 2'); vrfy(binv[1,3] == -1/2, '2825: binv[1,3] == -1/2'); vrfy(binv[2,0] == -3, '2826: binv[2,0] == -3'); vrfy(binv[2,1] == 1/2, '2827: binv[2,1] == 1/2'); vrfy(binv[2,2] == -1, '2828: binv[2,2] == -1'); vrfy(binv[2,3] == 1/2, '2829: binv[2,3] == 1/2'); vrfy(binv[3,0] == 1, '2830: binv[3,0] == 1'); vrfy(binv[3,1] == 0, '2831: binv[3,1] == 0'); vrfy(binv[3,2] == 0, '2832: binv[3,2] == 0'); vrfy(binv[3,3] == 0, '2833: binv[3,3] == 0'); vrfy(inverse(b) == binv, '2834: inverse(b) == binv'); vrfy(avg(b) == b, '2835: avg(b) == b'); vrfy(avg(binv) == binv, '2836: avg(binv) == binv'); vrfy((b+binv)/2 == avg(b,binv), '2837: (b+binv)/2 == avg(b,binv)'); vrfy(ismat(b) == 1, '2838: ismat(b) == 1'); vrfy(matsum(b) == 21, '2839: matsum(b) == 21'); vrfy(matsum(binv) == 1, '2840: matsum(binv) == 1'); vrfy(c[0] == 1, '2841: c[0] == 1'); vrfy(c[1] == 2+3i, '2842: c[1] == 2+3i'); vrfy(c[2] == -5+4i, '2843: c[2] == -5+4i'); vrfy(c[3] == 6+5i, '2844: c[3] == 6+5i'); vrfy(c[4] == -7i, '2845: c[4] == -7i'); vrfy(matsum(c) == 4+5i, '2846: matsum(c) == 4+5i'); vrfy(matdim(b) == 2, '2847: matdim(b) == 2'); vrfy(matdim(c) == 1, '2848: matdim(c) == 1'); vrfy(matdim(d) == 4, '2849: matdim(c) == 4'); vrfy(matmax(c,1) == 4, '2850: matmax(c,1) == 4'); vrfy(matmin(c,1) == 0, '2851: matmin(c,1) == 0'); vrfy(matmin(d,1) == -1, '2852: matmin(d,1) == -1'); vrfy(matmin(d,3) == -3, '2853: matmin(d,3) == -3'); vrfy(matmax(d,1) == 1, '2854: matmin(d,1) == 1'); vrfy(matmax(d,3) == 3, '2855: matmin(d,3) == 3'); vrfy(size(binv) == 16, '2856: size(binv) == 16'); vrfy(size(c) == 5, '2857: size(c) == 5'); vrfy(size(d) == 945, '2858: size(d) == 945'); vrfy(size(e) == 25, '2859: size(e) == 25'); matfill(d,1); print '2860: matfill(d,1)'; vrfy(matsum(d) == 945, '2861: matsum(d) == 945'); matfill(e,1,0); print '2862: matfill(e,1,0)'; vrfy(matsum(d) == 945, '2863: matsum(d) == 945'); vrfy(matsum(e) == 20, '2864: matsum(e) == 20'); vrfy(search(binv,1) == 1, '2865: search(binv,1) == 1'); vrfy(search(binv,2) == 4, '2866: search(binv,2) == 4'); vrfy(search(binv,2,4) == 4, '2867: search(binv,2,4) == 4'); vrfy(search(binv,2,5) == 6, '2868: search(binv,2,5) == 6'); vrfy(rsearch(binv,2) == 6, '2869: rsearch(binv,2) == 6'); vrfy(rsearch(binv,2,6) == 6, '2870: rsearch(binv,2,6) == 6'); vrfy(rsearch(binv,2,5) == 4, '2871: rsearch(binv,2,5) == 4'); vrfy(A[0] == 1, '2872: A[0] == 1'); vrfy(A[1] == 2, '2873: A[1] == 2'); A[0] = A; print '2874: A[0] = A'; B = A[0]; print '2875: B = A[0]'; vrfy(B[0] == 1, '2876: B[0] == 1'); vrfy(B[1] == 2, '2877: B[1] == 2'); mat_D = mat_C[0]; print '2878: mat_D = mat_C[0]'; vrfy(mat_D[0] == 1, '2879: mat_D[0] == 1'); vrfy(mat_D[1] == 2, '2880: mat_D[1] == 2'); vrfy(quomod(15.6,5.2,M[0],M[1]) == 0, '2881: quomod(15.6,5.2,M[0],M[1]) == 0'); vrfy(M[0] == 3, '2882: M[0] == 3'); vrfy(M[1] == 0, '2883: M[1] == 0'); vrfy(isident(id0) == 1, '2884: isident(id0) == 1'); vrfy(isident(id1) == 1, '2885: isident(id1) == 1'); vrfy(isident(noid0) == 0, '2886: isident(noid0) == 0'); vrfy(isident(noid1) == 0, '2887: isident(noid1) == 0'); vrfy(isident(noid2) == 0, '2888: isident(noid2) == 0'); vrfy(xp[0] == 2, '2889: xp[0] == 2'); vrfy(xp[1] == 3, '2890: xp[1] == 3'); vrfy(xp[2] == 4, '2891: xp[2] == 4'); vrfy(yp[0] == 3, '2892: yp[0] == 3'); vrfy(yp[1] == 4, '2893: yp[1] == 4'); vrfy(yp[2] == 5, '2894: yp[2] == 5'); vrfy(zp[0] == -1, '2895: zp[0] == -1'); vrfy(zp[1] == 2, '2896: zp[1] == 2'); vrfy(zp[2] == -1, '2897: zp[2] == -1'); vrfy(cp(xp,yp) == zp, '2898: cp(xp,yp) == zp'); vrfy(cp(yp,xp) == -zp, '2899: cp(yp,xp) == -zp'); matfill(zero3,0); print '2900: matfill(zero3,0)'; vrfy(cp(xp,xp) == zero3, '2901: cp(xp,xp) == zero3'); vrfy(dp(xp,yp) == 38, '2902: dp(xp,yp) == 38'); vrfy(dp(yp,xp) == 38, '2903: dp(yp,xp) == 38'); vrfy(dp(zp,dp(xp,yp)*zp) == 228,'2904: dp(zp,dp(xp,yp)*zp) == 228'); vrfy(ssq(X, Y, X + Y) == Z, '2905: ssq(X, Y, X + Y) == Z'); vrfy(mod(x,10,0) == y0, '2906: mod(x,10,0) == y0'); vrfy(mod(x,10,1) == y1, '2907: mod(x,10,1) == y1'); vrfy(mod(x,10,2) == y0, '2908: mod(x,10,2) == y0'); vrfy(mod(x,10,3) == y1, '2909: mod(x,10,3) == y1'); vrfy(mod(x,10,4) == y0, '2910: mod(x,10,4) == y0'); vrfy(mod(x,10,5) == y1, '2911: mod(x,10,5) == y1'); vrfy(mod(x,10,6) == y0, '2912: mod(x,10,6) == y0'); vrfy(mod(x,10,7) == y1, '2913: mod(x,10,7) == y1'); vrfy(mod(x,10,8) == y2, '2914: mod(x,10,8) == y2'); vrfy(mod(x,10,9) == y3, '2915: mod(x,10,9) == y3'); vrfy(mod(x,10,10) == y2, '2916: mod(x,10,10) == y2'); vrfy(mod(x,10,11) == y3, '2917: mod(x,10,11) == y3'); vrfy(mod(x,10,12) == y2, '2918: mod(x,10,12) == y2'); vrfy(mod(x,10,13) == y3, '2919: mod(x,10,13) == y3'); vrfy(mod(x,10,14) == y2, '2920: mod(x,10,14) == y2'); vrfy(mod(x,10,15) == y3, '2921: mod(x,10,15) == y3'); vrfy(mod(x,10,16) == y4, '2922: mod(x,10,16) == y4'); vrfy(mod(x,10,16) == y4, '2923: mod(x,10,16) == y4'); vrfy(mod(x,10,18) == y4, '2924: mod(x,10,18) == y4'); vrfy(mod(x,10,19) == y4, '2925: mod(x,10,18) == y4'); vrfy(mod(x,10,20) == y4, '2926: mod(x,10,20) == y4'); vrfy(mod(x,10,21) == y4, '2927: mod(x,10,21) == y4'); vrfy(mod(x,10,22) == y4, '2928: mod(x,10,22) == y4'); vrfy(mod(x,10,23) == y4, '2929: mod(x,10,23) == y4'); vrfy(mod(x,10,24) == y4, '2930: mod(x,10,24) == y4'); vrfy(mod(x,10,25) == y4, '2931: mod(x,10,25) == y4'); vrfy(mod(x,10,26) == y4, '2932: mod(x,10,26) == y4'); vrfy(mod(x,10,27) == y4, '2933: mod(x,10,27) == y4'); vrfy(mod(x,10,28) == y4, '2934: mod(x,10,28) == y4'); vrfy(mod(x,10,29) == y4, '2935: mod(x,10,29) == y4'); vrfy(mod(x,10,30) == y4, '2936: mod(x,10,30) == y4'); vrfy(mod(x,10,31) == y4, '2937: mod(x,10,31) == y4'); print '2938: Ending mat_functions'; } print '043: parsed test_matrix()'; /* * Test string constants and comparisons */ define test_strings() { local x, y, z; print '3000: Beginning test_strings'; x = 'string'; print "3001: x = 'string'"; y = "string"; print '3002: y = "string"'; z = x; print '3003: z = x'; vrfy(z == "string", '3004: z == "string"'); vrfy(z != "foo", '3005: z != "foo"'); vrfy(z != 3, '3006: z != 3'); vrfy('' == "", '3007: \'\' == ""'); vrfy("a" == "a", '3008: "a" == "a"'); vrfy("c" != "d", '3009: "c" != "d"'); vrfy("" != "a", '3010: "" != "a"'); vrfy("rs" < "rt", '3011: "rs" < "rt"'); vrfy("rs" < "ss", '3012: "rs < "ss"'); vrfy("rs" <= "rs", '3013: "rs" <= "rs"'); vrfy("rs" <= "tu", '3014: "rs" <= "tu"'); vrfy("rs" > "cd", '3015: "rs" > "cd"'); vrfy("rs" >= "rs", '3016: "rs" >= "rs"'); vrfy("rs" >= "cd", '3017: "rs" >= "cd"'); vrfy("abc" > "ab", '3018: "abc" > "ab"'); print '3019: Ending test_strings'; } print '044: parsed test_strings()'; /* * test_matobj - test determinants of a matrix containing objects */ read -once "test3100"; print '045: read -once test3100'; /**/ define test_matobj() { local mat A[3,3] = {2, 3, 5, 7, 11, 13, 17, 19, 23}; local mat B[2,2]; print '3100: Beginning test_matobj'; vrfy(det(A) == -78, '3101: det(A) == -78'); vrfy(det(A^2) == 6084, '3102: det(A^2) == 6084'); vrfy(det(A^3) == -474552, '3103: det(A^3) == -474552'); vrfy(det(A^-1) == -1/78, '3104: det(A^-1) == -1/78'); md = 0; print '3105: md = 0'; B[0,0] = res(2); print '3106: B[0,0] = res(2)'; B[0,1] = res(3); print '3107: B[0,1] = res(2)'; B[1,0] = res(5); print '3108: B[1,0] = res(2)'; B[1,1] = res(7); print '3109: B[1,1] = res(2)'; print '3110: md = 0'; md = 0; vrfy(det(B) == res(-1), '3111: det(B) == res(-1)'); md = 1; print '3112: md = 1'; vrfy(det(B) == 0, '3113: det(B) == 0'); md = 2; print '3114: md = 2'; vrfy(det(B) == res(1), '3115: det(B) == res(1)'); md = 3; print '3116: md = 3'; vrfy(det(B) == res(2), '3117: det(B) == res(2)'); md = 4; print '3118: md = 4'; vrfy(det(B) == res(3), '3119: det(B) == res(3)'); md = 5; print '3120: md = 5'; vrfy(det(B) == res(4), '3121: det(B) == res(4)'); md = 6; print '3122: md = 6'; vrfy(det(B) == res(5), '3123: det(B) == res(5)'); md = 7; print '3124: md = 7'; vrfy(det(B) == res(6), '3125: det(B) == res(6)'); md = 8; print '3126: md = 8'; vrfy(det(B) == res(7), '3127: det(B) == res(7)'); md = 9; print '3128: md = 9'; vrfy(det(B) == res(8), '3129: det(B) == res(8)'); md = 10; print '3130: md = 10'; vrfy(det(B) == res(9), '3131: det(B) == res(9)'); md = 11; print '3132: md = 11'; vrfy(det(B) == res(10), '3133: det(B) == res(10)'); md = 12; print '3134: md = 12'; vrfy(det(B) == res(11), '3135: det(B) == res(11)'); md = 13; print '3136: md = 13'; vrfy(det(B) == res(12), '3137: det(B) == res(12)'); md = 14; print '3138: md = 14'; vrfy(det(B) == res(13), '3139: det(B) == res(13)'); md = 15; print '3140: md = 15'; vrfy(det(B) == res(14), '3141: det(B) == res(14)'); print '3142: Ending test_matobj'; } print '046: parsed test_matobj()'; /* * test_poly - test the polynomial function */ define test_poly() { print '3200: Beginning test_matobj'; vrfy(poly(2,3,5,2) == 19, '3201: vrfy poly(2,3,5,2) == 19'); vrfy(poly(list(5,3,2),2) == 19,\ '3202: vrfy poly(list(5,3,2),2) == 19'); vrfy(poly(list(5,3,2)) == 5, '3203: vrfy poly(list(5,3,2)) == 5'); vrfy(poly(2) == 2, '3204: vrfy poly(2) == 2'); vrfy(poly(list(5,3,2),2,3) == 19,\ '3205: vrfy poly(list(5,3,2),2,3) == 19'); vrfy(poly(list()) == 0, '3206: vrfy poly(list()) == 0'); vrfy(poly(list(),2,3) == 0, '3207: vrfy poly(list(),2,3) == 0'); vrfy(poly(list(list(5,3,2)),7,2) == 19,\ '3208: vrfy poly(list(list(5,3,2)),7,2) == 19'); vrfy(poly(list(list(1,2,3),list(4,5),6),7) == 323,\ '3209: vrfy poly(list(list(1,2,3),list(4,5),6),7) == 323'); vrfy(poly(list(list(1,2,3),list(4,5),6),7,8) == 811,\ '3210: vrfy poly(list(list(1,2,3),list(4,5),6),7,8) == 811'); vrfy(poly(list(list(1,2,3),list(4,5),6),7,8,9) == 811,\ '3211: vrfy poly(list(list(1,2,3),list(4,5),6),7,8,9)==811'); vrfy(poly(list(5,3,2), list()) == 5,\ '3212: vrfy poly(list(5,3,2), list() == 5'); vrfy(poly(list(5,3,2), list(2)) == 19,\ '3213: vrfy poly(list(5,3,2), list(2)) == 19'); vrfy(poly(list(5,3,2), list(2,3)) == 19,\ '3214: vrfy poly(list(5,3,2), list(2,3)) == 19'); vrfy(poly(list(list(list(0,0,0,0,0,1))),2,3,4) == 4^5,\ '3215: vrfy poly(list(list(list(0,0,0,0,0,1))),2,3,4)==4^5'); vrfy(poly(list(list(list(0,0,0,0,0,1))),2,list(3,4)) == 4^5,\ '3216: vrfy poly(list(list(list(0,0,0,0,0,1))),2,list(3,4))==4^5'); print '3217: Ending test_poly'; } print '047: parsed test_poly()'; /* * test_det - more determinent testing */ read -once "test3300"; print '048: read -once test3300'; /**/ define test_det() { local tnum; /* test number */ local i; print '3300: Beginning test_det'; tnum = test3300(1, 3301); print tnum: ': Ending test_det'; } print '049: parsed test_det()'; /* * test_trig - trig function testing */ read -once "test3400"; print '050: read -once test3400'; /**/ define test_trig() { local tnum; /* test number */ local i; print '3400: Beginning test_trig'; tnum = test3400(1, 3401); print tnum: ': Ending test_trig'; } print '051: parsed test_trig()'; /* * test_frem - tests of the functions frem, fcnt, gcdrem */ read -once "test3500"; print '052: read -once test3500'; /**/ define test_frem() { local tnum; /* test number */ print '3500: Beginning test_frem'; tnum = test3500(1, 3501, 200, 61); print tnum: ': Ending test_frem'; } print '053: parsed test_frem()'; /* * test_error - test the error() builtin */ define test_error() { local strx, e99, list1; print '3600: Beginning test_error'; strx = "x"; print '3601: strx = "x"'; e99 = error(99); print '3602: e99 = error(99)'; vrfy(1/0 == error(10001), '3603: 1/0 == error(10001)'); vrfy(0/0 == error(10002), '3604: 0/0 == error(10002)'); vrfy(2 + "x" == error(10003), '3605: 2 + "x" == error(10003)'); vrfy("x" - 2 == error(10004), '3606: "x" - 2 == error(10004)'); vrfy("x" * 2 == error(10005), '3607: "x" * 2 == error(10005)'); vrfy("x" / 2 == error(10006), '3608: "x" / 2 == error(10006)'); vrfy(-"x" == error(10007), '3609: -"x" == error(10007)'); vrfy("x"^2 == error(10008), '3610: "x"^2 == error(10008)'); vrfy(inverse("x")==error(10009),'3611: inverse("x") == error(10009)'); vrfy(++strx == error(10010), '3612: ++strx == error(10010)'); vrfy(strx == error(10010), '3613: strx == error(10010)'); strx = "x"; print '3614: strx = "x"'; vrfy(strx++ == "x", '3615: strx++ == "x"'); vrfy(strx == error(10010), '3616: strx == error(10010)'); strx = "x"; print '3617: strx = "x"'; vrfy(--strx == error(10011), '3618: strx == error(10011)'); vrfy(int("x") == error(10012), '3619: int("x") == error(10012)'); vrfy(frac("x") == error(10013), '3620: frac("x") == error(10013)'); vrfy(conj("x") == error(10014), '3621: conj("x") == error(10014)'); vrfy(appr("x",.1) == error(10015), '3622: appr("x",.1) == error(10015)'); vrfy(appr(1.27,.1i) == error(10016), '3623: appr(1.27,.1i) == error(10016)'); vrfy(appr(1.27,.1,.1) == error(10017), '3624: appr(1.27,.1,.1) == error(10017)'); vrfy(round("x") == error(10018), '3625: round("x") == error(10018)'); vrfy(round(1.25,.1) == error(10019), '3626: round(1.25,.1) == error(10019)'); vrfy(round(1.25,"x") == error(10019), '3627: round(1.25,"x") == error(10019)'); vrfy(round(1.25,1,.1) == error(10020), '3628: round(1.25,1,.1) == error(10020)'); vrfy(bround("x") == error(10021), '3629: bround("x") == error(10021)'); vrfy(bround(1.25,.1) == error(10022), '3630: bround(1.25,.1) == error(10022)'); vrfy(bround(1.25,"x") == error(10022), '3631: bround(1.25,"x") == error(10022)'); vrfy(bround(1.25,1,.1) == error(10023), '3632: bround(1.25,1,.1) == error(10023)'); vrfy(sqrt("x") == error(10024), '3633: sqrt("x") == error(10024)'); vrfy(sqrt(2,"x") == error(10025), '3634: sqrt(2,"x") == error(10025)'); vrfy(sqrt(2,0) == error(10025), '3635: sqrt(2,0) == error(10025)'); vrfy(sqrt(2,.1,.1) == error(10026), '3636: sqrt(2,.1,.1) == error(10026)'); vrfy(root("x",3) == error(10027), '3637: root("x",3) == error(10027)'); vrfy(root(3,"x") == error(10028), '3638: root(3,"x") == error(10028)'); vrfy(root(3,-2) == error(10028), '3639: root(3,-2) == error(10028)'); vrfy(root(3,0) == error(10028), '3640: root(3,0) == error(10028)'); vrfy(root(3,.1) == error(10028), '3641: root(3,.1) == error(10028)'); vrfy(root(3,2,"x") == error(10029), '3642: root(3,2,"x") == error(10029)'); vrfy(root(3,2,0) == error(10029), '3643: root(3,2,0) == error(10029)'); vrfy(norm("x") == error(10030), '3644: norm("x") == error(10030)'); vrfy("x" << 2 == error(10031), '3645: "x" << 2 == error(10031)'); vrfy(1.5 << 2 == error(10031), '3646: 1.5 << 2 == error(10031)'); vrfy(3 << "x" == error(10032), '3647: 3 << "x" == error(10032)'); vrfy(3 << 1.5 == error(10032), '3648: 3 << 1.5 == error(10032)'); vrfy(3 << 2^31 == error(10032), '3649: 3 << 2^31 == error(10032)'); vrfy(scale("x",2) == error(10033), '3650: scale("x",2) == error(10033)'); vrfy(scale(3,"x") == error(10034), '3651: scale(3,"x") == error(10034)'); vrfy(scale(3,1.5) == error(10034), '3652: scale(3,1.5) == error(10034)'); vrfy(scale(3,2^31) == error(10034), '3653: scale(3,2^31) == error(10034)'); vrfy("x" ^ 3 == error(10035), '3654: "x" ^ 3 == error(10035)'); vrfy(2 ^ "x" == error(10036), '3655: 2 ^ "x" == error(10036)'); vrfy(2 ^ 2.5 == error(10036), '3656: 2 ^ 2.5 == error(10036)'); vrfy(power("x",2.1) == error(10037), '3657: power("x",2.1) == error(10037)'); vrfy(power(2,"x") == error(10038), '3658: power(2,"x") == error(10038)'); vrfy(power(2,2.1,"x") == error(10039), '3659: power(2,2.1,"x") == error(10039)'); vrfy(quo("x",3) == error(10040), '3660: quo("x",3) == error(10040)'); vrfy(quo(8,"x") == error(10041), '3661: quo(8,"x") == error(10041)'); vrfy(quo(8,3,"x") == error(10042), '3662: quo(8,3,"x") == error(10042)'); vrfy(quo(8,3,2.1) == error(10042), '3663: quo(8,3,2.1) == error(10042)'); vrfy(mod("x",3) == error(10043), '3664: mod("x",3) == error(10043)'); vrfy(mod(8,"x") == error(10044), '3665: mod(8,"x") == error(10044)'); vrfy(mod(8,3,"x") == error(10045), '3666: mod(8,3,"x") == error(10045)'); vrfy(mod(8,3,2.1) == error(10045), '3667: mod(8,3,2.1) == error(10045)'); vrfy(sgn("x") == error(10046), '3668: sgn("x") == error(10046)'); vrfy(abs("x") == error(10047), '3669: abs("x") == error(10047)'); vrfy(abs(2+3i,"x") == error(10048), '3670: abs(2+3i,"x") == error(10048)'); vrfy(abs(2+3i,0) == error(10048), '3671: abs(2+3i,0) == error(10048)'); list1 = list(2,3,"x",4,5); print '3672: list1 = list(2,3,"x",4,5)'; vrfy(avg(list1) == error(10003), '3673: avg(list1) == error(10003)'); vrfy(iserror(e99)==99, '3674: iserror(e99) == 99'); vrfy(e99 + 2 == e99, '3675: e99 + 2 == e99'); vrfy(e99 - 2 == e99, '3676: e99 - 2 == e99'); vrfy(e99 * 2 == e99, '3677: e99 * 2 == e99'); vrfy(e99 / 2 == e99, '3678: e99 / 2 == e99'); vrfy(e99 // 2 == e99, '3679: e99 // 2 == e99'); vrfy(e99 % 2 == e99, '3680: e99 % 2 == e99'); vrfy(e99 ^ 2 == e99, '3681: e99 ^ 2 == e99'); vrfy(2 + e99 == e99, '3682: 2 + e99 == e99'); vrfy(2 - e99 == e99, '3683: 2 - e99 == e99'); vrfy(2 * e99 == e99, '3684: 2 * e99 == e99'); vrfy(2 / e99 == e99, '3685: 2 / e99 == e99'); vrfy(2 // e99 == e99, '3686: 2 // e99 == e99'); vrfy(2 % e99 == e99, '3687: 2 % e99 == e99'); vrfy(2 ^ e99 == e99, '3688: 2 ^ e99 == e99'); vrfy(- e99 == e99, '3689: -e99 == e99'); vrfy(inverse(e99) == e99, '3690: inverse(e99) == e99'); vrfy(++e99 == e99, '3691: ++e99 == e99'); vrfy(--e99 == e99, '3692: --e99 == e99'); vrfy(int(e99) == e99, '3693: int(e99) == e99'); vrfy(frac(e99) == e99, '3694: frac(e99) == e99'); vrfy(conj(e99) == e99, '3695: conj(e99) == e99'); vrfy(norm(e99) == e99, '3696: norm(e99) == e99'); vrfy(sgn(e99) == e99, '3697: sgn(e99) == e99'); vrfy(appr(e99,1,0) == e99, '3698: appr(e99,1,0) == e99'); vrfy(round(e99) == e99, '3699: round(e99) == e99'); vrfy(bround(e99) == e99, '3700: bround(e99) == e99'); vrfy(sqrt(e99) == e99, '3701: sqrt(e99) == e99'); print '3702: Ending test_error'; } print '054: parsed test_error()'; /* * test_param - test new param() functionality. */ define g_param() = (param(2) = param(1)); print '055: define g_param() = (param(2) = param(1))'; define h_param() = (param(1)++, param(2)--); print '056: define h_param() = (param(1)++, param(2)--)'; /**/ global u_glob = 5; print '057: global u_glob = 5'; global v_glob = 10; print '058: global v_glob = 10'; vrfy(g_param(u_glob, &v_glob) == 5, '059: g_param(u_glob, &v_glob) == 5'); vrfy(u_glob == 5, '060: u_glob == 5'); vrfy(v_glob == 5, '061: v_glob == 5'); vrfy(h_param(&u_glob, &v_glob) == 5, '062: h_param(&u_glob, &v_glob) == 5'); vrfy(u_glob == 6, '063: u_glob == 6'); vrfy(v_glob == 4, '064: v_glob == 4'); /**/ define test_param() { local u, v; print '3800: Beginning test_param'; u = 5; print '3801: u = 5'; v = 10; print '3802: v = 10'; vrfy(g_param(u, &v) == 5, '3803: g_param(u, &v) == 5'); vrfy(u == 5, '3804: u == 5'); vrfy(v == 5, '3805: v == 5'); vrfy(h_param(&u, &v) == 5, '3806: h_param(&u, &v) == 5'); vrfy(u == 6, '3807: u == 6'); vrfy(v == 4, '3808: v == 4'); print '3809: Ending test_param'; } print '065: parsed test_param()'; /* * test_noarg - test missing argment functionality */ define test_noarg() { local A,B,C,D; print '3900: Beginning test_noarg'; A = list(1,,3); print '3901: A = list(1,,3)'; vrfy(A[[0]] == 1, '3902: A[[0]] == 1'); vrfy(isnull(A[[1]]), '3903: isnull(A[[1]])'); vrfy(A[[2]] == 3, '3904: A[[2]] == 3'); vrfy(size(A) == 3, '3905: size(A) == 3'); B = list(,,); print '3906: B = list(,,)'; vrfy(isnull(B[[0]]), '3907: isnull(B[[0]])'); vrfy(isnull(B[[1]]), '3908: isnull(B[[1]])'); vrfy(isnull(B[[2]]), '3909: isnull(B[[2]])'); vrfy(size(B) == 3, '3910: size(B) == 3'); mat C[] = {,,}; print '3911: mat C[] = {,,}'; vrfy(C[0] == 0, '3912: C[0] == 0'); vrfy(C[1] == 0, '3913: C[1] == 0'); vrfy(C[2] == 0, '3914: C[2] == 0'); vrfy(size(C) == 3, '3915: size(C) == 3'); mat D[] = { }; print '3916: mat D[] = { }'; vrfy(D[0] == 0, '3917: D[0] == 0'); vrfy(size(D) == 1, '3918: size(D) == 1'); print '3919: Ending test_noarg'; } print '066: parsed test_noarg'; /* * test_ptest - more tests of the functions ptest, nextcand, prevcand */ read -once "test4000"; print '067: read -once test4000'; /**/ define test_ptest() { local tnum; /* test number */ print '4000: Beginning test_ptest'; tnum = test4000(1, 4001); print tnum: ': Ending test_ptest'; } print '068: parsed test_ptest()'; /* * test_redc - REDC operation tests */ read -once "test4100"; print '069: read -once test4100'; /**/ define test_redc() { local tnum; /* test number */ print '4100: Beginning test_redc'; tnum = test4100(1, 4101); print tnum: ': Ending test_redc'; } print '070: parsed test_redc()'; /* * test_fileops - test various file operations */ define test_fileops() { local a, b, c, f, m, n, x, y, z; local L = "Landon"; local C = "Curt"; local N = "Noll"; local LCN = "Landon\nCurt\nNoll\n"; print '4200: Beginning test_fileops'; /* * fputs tests */ print '4201: x = rm("junk4200")'; x = rm("junk4200"); vrfy(!iserror(f = fopen("junk4200", "w+")), '4202: !iserror(f = fopen("junk4200", "w+"))'); vrfy(!iserror(fputs(f, LCN)), '4203: !iserror(fputs(f, LCN))'); vrfy(isnull(rewind(f)), '4204: isnull(rewind(f))'); vrfy(fgetfield(f) == L, '4205: fgetfield(f) == L'); vrfy(fgetfield(f) == C, '4206: fgetfield(f) == C'); vrfy(fgetfield(f) == N, '4207: fgetfield(f) == N'); vrfy(isnull(fgetfield(f)), '4208: isnull(fgetfield(f))'); vrfy(isnull(rewind(f)), '4209: isnull(rewind(f))'); vrfy(fgetline(f) == L, '4210: fgetline(f) == L'); vrfy(fgetline(f) == C, '4211: fgetline(f) == C'); vrfy(fgetline(f) == N, '4212: fgetline(f) == N'); vrfy(isnull(fgetline(f)), '4213: isnull(fgetline(f))'); vrfy(isnull(rewind(f)), '4214: isnull(rewind(f))'); vrfy(fgets(f) == strcat(L,"\n"),'4215: fgets(f) == strcat(L,"\\n")'); vrfy(fgets(f) == strcat(C,"\n"),'4216: fgets(f) == strcat(C,"\\n")'); vrfy(fgets(f) == strcat(N,"\n"),'4217: fgets(f) == strcat(N,"\\n")'); vrfy(isnull(fgets(f)), '4218: isnull(fgets(f))'); vrfy(isnull(rewind(f)), '4219: isnull(rewind(f))'); vrfy(fgetstr(f) == LCN, '4220: fgetstr(f) == LCN'); vrfy(isnull(fclose(f)), '4221: isnull(fclose(f))'); vrfy(isnull(fclose(f)), '4222: isnull(fclose(f))'); /* * fgetstr tests */ vrfy(!iserror(f = fopen("junk4200", "w+")), '4223: !iserror(f)'); vrfy(isnull(fputstr(f, L, C, N)), '4224: isnulll(fputstr(f, L, C, N))'); vrfy(isnull(rewind(f)), '4225: isnull(rewind(f))'); vrfy(fgetstr(f) == L, '4226: fgetstr(f) == L'); vrfy(fgetstr(f) == C, '4227: fgetstr(f) == C'); vrfy(fgetstr(f) == N, '4228: fgetstr(f) == N'); vrfy(isnull(fgetstr(f)), '4229: isnull(fgetstr(f))'); n = ftell(f); print '4230: n = ftell(f)'; vrfy(isnull(fputs(f,L,"\n",C,"\n",N,"\n")), '4231: isnull(fputs(f,L,"\\n",C,"\\n",N,"\\n"))'); fseek(f, n); print '4232: fseek(f, n)'; vrfy(fgetstr(f) == LCN, '4233: fgetstr(f) == LCN'); vrfy(isnull(fclose(f)), '4234: isnull(fclose(f))'); /* * fscanf tests */ a = exp(27, 1e-1000); print '4235: a = exp(27, 1e-1000)'; b = sqrt(7 + 5i, 1e-2000); print '4236: b = sqrt(7 + 5i, 1e-2000)'; c = config("display", 1000); print '4237: c = config("display", 1000)'; vrfy(!iserror(f=fopen("junk4200","w+")), '4238: !iserror(f=fopen("junk4200","w+"))'); vrfy(!iserror(fprintf(f, "%f\n\tand\n\t%r",a,b)), '4239: !iserror(fprintf(f, "%f\\n\\tand\\n\\t%r",a,b))'); vrfy(isnull(rewind(f)), '4240: isnull(rewind(f))'); vrfy(fscanf(f,"%f and %r",x,y) == 2, '4241: fscanf(f,"%f and %r",x,y) == 2'); vrfy(x == a && y == b, '4242: x == a && y == b'); vrfy(!iserror(freopen(f, "w+")),'4243: !iserror(freopen(f, "w+"))'); L = "Landon\n"; print '4244: L = "Landon\\n"'; C = "\tCurt\n"; print '4245: C = "\tCurt\\n"'; N = "\t\tNoll\n"; print '4246: N = "\\t\\tNoll\\n"'; vrfy(isnull(fputs(f, L, "|", C, "[", N, "]" )), '4247: isnull(fputs(f, L, "|", C, "[", N, "]" ))'); vrfy(isnull(rewind(f)), '4248: isnull(rewind(f))'); vrfy(fscanf(f, "%[^|]%*c%[^[]%*c%[^]]", x,y,z) == 3, '4249: fscanf(f, "%[^|]%*c%[^[]%*c%[^]]", x,y,z) == 3'); vrfy(x == L && y == C && z == N, '4250: x == L && y == C && z == N'); vrfy(isnull(rewind(f)), '4251: isnull(rewind(f))'); vrfy(fscanf(f, "%*[^|]%*c%n%*[^[]%*c%n", m, n) == 2, '4252: fscanf(f, "%*[^|]%*c%n%*[^[]%*c%n", m, n) == 2'); fseek(f, m); print '4253: fseek(f, m)'; vrfy(fscanf(f, "%3c", x) == 1, '4254: fscanf(f, "%3c", x) == 1'); vrfy(x == "\tCu", '4255: x == "\tCu"'); fseek(f, n); print '4256: fseek(f, n)'; vrfy(fscanf(f, "%s", y) == 1, '4257: fscanf(f, "%s", y) == 1'); vrfy(y == "Noll", '4258: y == "Noll"'); vrfy(isnull(fclose(f)), '4259: isnull(fclose(f))'); /* * cleanup */ print '4260: x = rm("junk4200")'; x = rm("junk4200"); print '4261: Ending test_fileops'; } print '071: parsed test_redc()'; /* * test_matdcl - test new matrix declaration syntax */ mat_X0 = mat[4]; print '072: mat_X = mat[4]'; mat mat_X1, mat_X2[2], mat_X3[3]; print '073: mat mat_X1, mat_X2[2], mat_X3[3]'; mat mat_Z0, mat_Z1 [2] = {1,2}; print '074: mat mat_Z0, mat_Z1 [2] = {1,2}'; define test_matdcl() { local mat_Y0; local mat mat_Y1, mat_Y2[2], mat_Y3[3]; local mat M0, M1, M2[2,2]; local i; print '4300: Beginning test_matdcl'; vrfy(size(mat_X0) == 4, '4301: size(mat_X0) == 4'); vrfy(size(mat_X1) == 2, '4302: size(mat_X1) == 2'); vrfy(size(mat_X2) == 2, '4303: size(mat_X2) == 2'); vrfy(size(mat_X3) == 3, '4304: size(mat_X3) == 3'); vrfy(ismat(mat_X0), '4305: ismat(mat_X0)'); vrfy(ismat(mat_X1), '4306: ismat(mat_X1)'); vrfy(ismat(mat_X2), '4307: ismat(mat_X2)'); vrfy(ismat(mat_X3), '4308: ismat(mat_X3)'); mat_Y0 = mat[4]; print '4309: mat_Y0 = mat[4]'; vrfy(size(mat_Y0) == 4, '4310: size(mat_Y0) == 4'); vrfy(size(mat_Y1) == 2, '4311: size(mat_Y1) == 2'); vrfy(size(mat_Y2) == 2, '4312: size(mat_Y2) == 2'); vrfy(size(mat_Y3) == 3, '4313: size(mat_Y3) == 3'); vrfy(ismat(mat_Y0), '4314: ismat(mat_Y0)'); vrfy(ismat(mat_Y1), '4315: ismat(mat_Y1)'); vrfy(ismat(mat_Y2), '4316: ismat(mat_Y2)'); vrfy(ismat(mat_Y3), '4317: ismat(mat_Y3)'); vrfy(size(mat_Z0) == 2, '4318: size(mat_Z0) == 2'); vrfy(size(mat_Z1) == 2, '4319: size(mat_Z1) == 2'); vrfy(ismat(mat_Z0), '4320: ismat(mat_Z0)'); vrfy(ismat(mat_Z1), '4321: ismat(mat_Z1)'); vrfy(mat_Z0 == mat_Z1, '4322: mat_Z0 == mat_Z1'); vrfy(mat_Z0 == (mat[2] = {1,2}), '4323: mat_Z0 == (mat[2] = {1,2})'); vrfy(mat_Z0[0] == 1, '4324: mat_Z0[0] == 1'); vrfy(mat_Z0[1] == 2, '4325: mat_Z0[1] == 2'); mat_Z1 = {,3}; print '4326: mat_Z1 = {,3}'; vrfy(mat_Z0 != mat_Z1, '4327: mat_Z0 != mat_Z1'); vrfy(mat_Z1[0] == 1, '4328: mat_Z1[0] == 1'); vrfy(mat_Z1[1] == 3, '4329: mat_Z1[1] == 3'); mat_X3 = {2,3,5}; print '4330: mat_X3 = {2,3,5}'; mat_X3 += {3,4,5}; print '4331: mat_X3 += {3,4,5}'; vrfy(mat_X3[0] == 5, '4332: mat_X3[0] == 5'); vrfy(mat_X3[1] == 7, '4333: mat_X3[1] == 7'); vrfy(mat_X3[2] == 10, '4334: mat_X3[2] == 10'); mat_Y3 = mat_X3; print '4335: mat_Y3 = mat_X3'; mat_Y3 -= {,1,2}; print '4336: mat_Y3 -= {0,1,}'; vrfy(mat_Y3[0] == 0, '4337: mat_Y3[0] == 0'); vrfy(mat_Y3[1] == 6, '4338: mat_Y3[1] == 6'); vrfy(mat_Y3[2] == 8, '4339: mat_Y3[2] == 8'); mat_Y3 += 2; print '4340: mat_Y3 += 2'; vrfy(mat_Y3 == error(10003), '4341: mat_Y3 == error(10003)'); mat_Z0 += { }; print '4342: mat_Z0 += { }'; vrfy(mat_Z0[0] == 2, '4343: mat_Z0[0] == 2'); vrfy(mat_Z0[1] == 4, '4344: mat_Z0[1] == 4'); mat_Y0 = {mat_Z0, ,mat_Z1, mat_X3}; print '4345: mat_Y0 = {mat_Z0, ,mat_Z1, mat_X3}'; vrfy(size(mat_Y0) == 4, '4346: size(mat_Y0) == 4'); for (i=0; i < 4; ++i) mat_X0[i] = size(mat_Y0[i]); print '4347: for (i=0; i < 4; ++i) mat_X0[i] = size(mat_Y0[i])'; mat_X0==(mat[4]={2,1,2,3}); print '4348: mat_X0==(mat[4]={2,1,2,3})'; vrfy(mat_Y0[0] == mat_Z0, '4349: mat_Y0[0] == mat_Z0'); vrfy(mat_Y0[1] == 0, '4350: mat_Y0[1] == 0'); vrfy(mat_Y0[2] == mat_Z1, '4351: mat_Y0[2] == mat_Z1'); vrfy(mat_Y0[3] == mat_X3, '4352: mat_Y0[3] == mat_X3'); vrfy(mat_Y0[0][0] == 2, '4353: mat_Y0[0][0] == 2'); vrfy(mat_Y0[0][1] == 4, '4354: mat_Y0[0][1] == 4'); vrfy(mat_Y0[2][0] == 1, '4355: mat_Y0[2][0] == 1'); vrfy(mat_Y0[2][1] == 3, '4356: mat_Y0[2][1] == 3'); vrfy(mat_Y0[3][0] == 5, '4357: mat_Y0[3][0] == 5'); vrfy(mat_Y0[3][1] == 7, '4358: mat_Y0[3][1] == 7'); vrfy(mat_Y0[3][2] == 10, '4359: mat_Y0[3][2] == 10'); M0 = {(mat[2]={5,17}),(mat[2]={3,4}),(mat[2]={2,3}),(mat[2]={1,2})}; print '4360: M0 = {(mat[2]={5,17}), ...}'; M1 = {(mat[2]={5,3}),(mat[2]={2,5}),(mat[2]={1,5}),(mat[2]={3,2})}; print '4361: M1 = {(mat[2]={5,3}), ...}'; M2 = M0+M1; print '4362: M2 = M0+M1'; vrfy(M2[0,0]==(mat[2]={10,20}), '4363: M2[0,0]==(mat[2]={10,20})'); vrfy(M2[0,1]==(mat[2]={5,9}), '4364: M2[0,1]==(mat[2]={5,9})'); vrfy(M2[1,0]==(mat[2]={3,8}), '4365: M2[1,0]==(mat[2]={3,20})'); vrfy(M2[1,1]==(mat[2]={4,4}), '4366: M2[1,1]==(mat[2]={4,4})'); print '4367: Ending test_matdcl'; } print '075: parsed test_matdcl()'; /* * test_objmat - test combined obj and mat operations */ define test_objmat() { static obj surd P, R, S, T, U; local mat M0[2] = {5,17}; local mat M1[2] = {3,4}; local mat M2[2,2] = {1,2,3,5}; local mat M3[2,2] = {3,5,7,11}; local mat M4[2,2] = {51,82,116,187}; local Q; local V; local A,B,C,M; print '4400: Beginning test_objmat'; surd_type = -1; print '4401: surd_type == -1'; P = {M0,M1}; print '4402: P = {M0,M1}'; vrfy(P == surd(M0,M1), '4403: P == surd(M0,M1)'); vrfy(P != surd(M1,M0), '4404: P == surd(M1,M0)'); vrfy(conj(P)==surd(M0,-M1), '4405: conj(P)==surd(M0,-M1)'); Q = surd_value(P); print '4406: Q = surd_value(P)'; vrfy(ismat(Q), '4407: ismat(Q)'); vrfy(Q == (mat[2]={5+3i,17+4i}), '4408: Q == (mat[2]={5+3i,17+4i})'); R = {M2,M3}; print '4409: R = {M2,M3}'; vrfy(norm(R) == M4, '4410: norm(R) == M4'); vrfy(det(surd_value(R^2)) == -23-6i, \ '4411: det(surd_value(R^2)) == -23-6i'); vrfy(det(norm(R^5))==268107761663283843865, \ '4412: det(norm(R^5))==268107761663283843865'); S = {M2+M3, M2-M3}; print '4413: S = {M2+M3, M2-M3}'; T = {M2+3*M3, 5*M2-M3}; print '4414: T = {M2+3*M3, 5*M2-M3}'; U = {(M4 -= {50,80,110,180}), M4+M2}; print '4415: U = {(M4 -= {50,80,110,180}), M4+M2}'; vrfy(det(surd_value(R*S*T*U)) == 480-15040i, '4416: det(surd_value(R*S*T*U)) == 480-15040i'); vrfy(det(surd_value(R*S+T*U)) == 78+514i, '4417: det(surd_value(R*S+T*U)) == 78+514i'); V = norm(det(surd_value(R^5+S^5+T^5+U^5))); print '4418: V = norm(det(surd_value(R^5+S^5+T^5+U^5)))'; vrfy(V == 41952632964892462488299378, \ '4419: V == 41952632964892462488299378'); V = norm(det(surd_value(R^5-S^5+T^5-U^5))); print '4420: V = norm(det(surd_value(R^5-S^5+T^5-U^5)))'; vrfy(V == 40891924356202870926321650, \ '4421: V == 40891924356202870926321650'); vrfy((mat [3] = {2,3,5})+(mat[3] = {7,11,13}) == (mat[3]={9,14,18}),\ '4422: (mat [3] = {2,3,5})+(mat[3] = {7,11,13}) == (mat[3]={9,14,18})'); vrfy((mat [2,2] = {2,3,5,7})^2 == (mat[2,2] = {19, 27, 45, 64}),\ '4423: (mat [2,2] = {2,3,5,7})^2 == (mat[2,2] = {19, 27, 45, 64})'); vrfy((mat [] = {1,2,3}) == (mat[3] = {1,2,3}), '4424: (mat [] = {1,2,3}) == (mat[3] = {1,2,3})'); mat A[3] = {2,3,5}; print '4425: mat A[3] = {2,3,5}'; mat A[3] = {A[0], A[2], A[1]}; print '4426: mat A[3] = {A[0], A[2], A[1]}'; vrfy(A == (mat[3] = {2, 5, 3}), '4427: A == (mat[3] = {2, 5, 3})'); B = mat[3] = {2,5,3}; print '4428: B = mat[3] = {2,5,3}'; vrfy(A == B, '4429: A == B'); mat A[2] = {A[1], A[2]}; print '4430: mat A[2] = {A[1], A[2]}'; vrfy(A == (mat[2] = {5, 3}), '4431: A == (mat[2] = {5, 3})'); A = B; print '4432: A = B'; A = {A[0], A[2], A[1]}; print '4433: A = {A[0], A[2], A[1]}'; vrfy(A == (mat[3] = {2, 3, 3}), '4434: A == (mat[3] = {2, 3, 3})'); A = mat[3] = {1,2} = {,3,4}; print '4435: A = mat[3] = {1,2} = {,3,4}'; vrfy(A == (mat[3] = {1,3,4}), '4436: A == (mat[3] = {1,3,4})'); mat A[4] = {1,2,3,4}; print '4437: mat A[4] = {1,2,3,4}'; A = {,5,,6}; print '4438: A = {,5,,6}'; vrfy(A == (mat[4] = {1,5,3,6}), '4439: A == (mat[4] = {1,5,3,6})'); A = {7}; print '4440: A = {7}'; vrfy(A == (mat[4] = {7,5,3,6}), '4441: A == (mat[4] = {7,5,3,6})'); mat M[2]; print '4442: mat M[2]'; mat A, B, C [3] = {M, M, M}; print '4443: mat A, B, C [3] = {M, M, M}'; A = {{2, 3}, {5, 7}, {11, 13}}; print '4444: A = {{2, 3}, {5, 7}, {11, 13}}'; B = {{1, 2}, {3, 4}, {5, 6}}; print '4445: B = {{1, 2}, {3, 4}, {5, 6}}'; C = {{3, 5}, {8, 11}, {16, 19}}; print '4446: C = {{3, 5}, {8, 11}, {16, 19}}'; vrfy(A + B == C, '4447: A + B == C'); mat A[2][3]; print '4448: mat A[2][3]'; A = {{1, 2, 3}, {4, 5, 6}}; print '4449: A = {{1, 2, 3}, {4, 5, 6}}'; vrfy(A[0][1] == 2, '4450: A[0][1] == 2'); vrfy(A[1,0] == 4, '4451: A[1,0] == 4'); B = mat[2][3] = {{1, 2, 3}, {4, 5, 6}}; print '4452: B = mat[2][3] = {{1, 2, 3}, {4, 5, 6}}'; vrfy(A == B, '4453: A == B'); mat A[2][3] = {{1, 2, 3}, {4, 5, 6}}; print '4454: mat A[2][3] = {{1, 2, 3}, {4, 5, 6}}'; vrfy(A == B, '4455: A == B'); mat A[2][3] = {{1,2,3},4}; print '4456: mat A[2][3] = {{1,2,3},4}'; vrfy(A[0] == (mat[3] = {1,2,3}), '4457: A[0] == (mat[3] = {1,2,3})'); vrfy(A[1] == 4, '4458: A[1] == 4'); A += {{3,5,7}, 11}; print '4459: A += {{3,5,7}, 11}'; vrfy(A[0] == (mat[3]={4,7,10}), '4460: A[0] == (mat[3]={4,7,10})'); vrfy(A[1] == 15, '4461: A[1] == 15'); mat A[2,2][2,2]={{1,2,3,4},{5,6,7,8},{9,10,11,12},{13,14,15,16}}; print '4462: mat A[2,2][2,2]={{1,2,3,4},{5,6,7,8},{9,10,11,12},{13,14,15,16}}'; B = A^2; print '4463: B = A^2'; vrfy(B[0,0] == (mat[2,2] = {118, 132, 166, 188}), \ '4464: B[0,0] == (mat[2,2] = {118, 132, 166, 188})'); print '4465: Ending test_objmat'; print; print '4500: reserved for future expansion of test_objmat'; } print '076: parsed test_objmat()'; /* * test_fileop - test file operations */ read -once "test4600"; print '077: read -once test4600'; /**/ define test_fileop() { local tnum; /* test number */ print '4600: Beginning test_fileop'; tnum = test4600(1, 4601); print tnum: ': Ending test_fileop'; } print '078: parsed test_fileop()'; /* * test write/read */ x_081 = isqrt(2e5000); print '079: x_081 = isqrt(2e5000)' s_x_081 = str(x_081); print '080: s_x_081 = str(x_081)'; d_081 = rm("test082.cal"); print '081: d_081 = rm("test082.cal")'; write test082.cal; print '082: write test082.cal'; read "./test082.cal"; print '083: read "./test082.cal"'; d_081 = rm("test082.cal"); print '084: d081 = rm("test082.cal")'; vrfy(__ == 63, '085: __ == 63'); vrfy(x_081 == isqrt(2e5000), '086: x_081 == isqrt(2e5000)'); /* * test_charset - test the ASCII character set and \'s */ define test_charset() { print '4700: Beginning test_charset'; vrfy("\a" == char(7), '4701: "\\a" == char(7)'); vrfy("\v" == char(11), '4702: "\\v" == char(11)'); vrfy("\e" == char(27), '4703: "\\e" == char(27)'); vrfy("\\" == char(92), '4704: "\\\\" == char(92)'); vrfy("\101" == "A", '4705: "\\101" == "A"'); vrfy("\123" == char(0123), '4706: "\\123" == char(0123)'); vrfy("\123\124" == "ST", '4707: "\\123\\124" == "ST"'); vrfy("\311" == char(201), '4708: "\\311" == char(201)'); vrfy("\119" == "\t9", '4709: "\\119" == "\t9"'); vrfy("\765" == "\365", '4710: "\\765" == "\365"'); vrfy("\x61" == "a", '4711: "\\x61" == "a"'); vrfy("\x73" == "s", '4712: "\\x73" == "s"'); vrfy("\xea" == char(234), '4713: "\\xea" == char(234)'); vrfy("\x61\x62\x63" == "abc", '4714: "\\x61\\x62\\x63" == "abc"'); vrfy("\x8g" == "\bg", '4715: "\\x8g" == "\bg"'); vrfy(eval('"\\\\"') == "\\", '4716: eval(\'"\\\\\\\\"\') == "\\\\"'); print '4717: Ending test_charset'; } print '087: parsed test_fileop()'; /* * test_strprintf - test strprintf calls */ define test_strprintf() { local callcfg; /* caller configuration value */ local c; /* modified configuration */ print '4800: Beginning test_strprintf'; /* setup */ callcfg = config("all"); print '4801: callcfg = config("all")'; c = config("mode", "frac"); print '4802: c = config("mode", "frac")'; c = config("outround", 24); print '4803: c = config("outround", 24)'; c = config("display", 2); print '4804: c = config("display", 2)'; c = config("tilde", 0); print '4805: c = config("tilde", 0)'; c = config("leadzero", 0); print '4806: c = config("leadzero", 0)'; c = config("fullzero", 0); print '4807: c = config("fullzero", 0)'; /* tests with tilde == 0 */ vrfy(strprintf("%d%d", 27, 29) == "2729", '4808: strprintf("%d%d", 27, 29) == "2729"'); vrfy(strprintf("%5d%3d", 27, 29) == " 27 29", '4809: strprintf("%5d%3d", 27, 29) == " 27 29"; '); vrfy(strprintf("%-5d%-3d", 27, 29) == "27 29 ", '4810: strprintf("%-5d%-3d", 27, 29) == "27 29 "'); vrfy(strprintf("%f", 1.375) == "1.38", '4811: strprintf("%f", 1.375) == "1.38"'); vrfy(strprintf("%f", 1.385) == "1.38", '4812: strprintf("%f", 1.385) == "1.38"'); vrfy(strprintf("%f", .375) == ".38", '4813: strprintf("%f", .375) == ".38"'); vrfy(strprintf("%f", .385) == ".38", '4814: strprintf("%f", .385) == ".38"'); /* tests with tilde == 1 */ c = config("tilde", 1); print '4815: c = config("tilde", 1)'; vrfy(strprintf("%f", 1.375) == "~1.38", '4816: strprintf("%f", 1.375) == "~1.38"'); vrfy(strprintf("%f", 27/29) == "~.93", '4817: strprintf("%f", 27/29) == "~.93"'); vrfy(strprintf("%r", 27/29) == "27/29", '4818: strprintf("%r", 27/29) == "27/29"'); vrfy(strprintf("%o", 27/29) == "033/035", '4819: strprintf("%o", 27/29) == "033/035"'); vrfy(strprintf("%x", 27/29) == "0x1b/0x1d", '4820: strprintf("%x", 27/29) == "0x1b/0x1d"'); vrfy(strprintf("%b", 27/29) == "0b11011/0b11101", '4821: strprintf("%b", 27/29) == "0b11011/0b11101"'); vrfy(strprintf("%e", 12345) == "~1.23e4", '4822: strprintf("%e", 12345) == "~1.23e4"'); /* mode tests with tilde == 0 */ c = config("tilde", 0); print '4823: c = config("tilde", 0)'; vrfy(strprintf("%e", 12345) == "1.23e4", '4824: strprintf("%e", 12345) == "1.23e4"'); vrfy(strprintf("%.3e", 12345) == "1.234e4", '4825: strprintf("%.3e", 12345) == "1.234e4"'); vrfy(strprintf("%e", .00012345) == "1.23e-4", '4826: strprintf("%e", .00012345) == "1.23e-4"'); vrfy(strprintf("%d %d", 27) == "27 ", '4827: strprintf("%d %d", 27) == "27 "'); vrfy(strprintf("%d", 27, 29) == "27", '4828: strprintf("%d", 27, 29) == "27"'); vrfy(strprintf("%r = %f", 27/29, 27/29) == "27/29 = .93", '4829: strprintf("%r = %f", 27/29, 27/29) == "27/29 = .93"'); vrfy(strprintf("%s", "abc") == "abc", '4830: strprintf("%s", "abc") == "abc"'); vrfy(strprintf("%f", "abc") == "abc", '4831: strprintf("%f", "abc") == "abc"'); vrfy(strprintf("%e", "abc") == "abc", '4832: strprintf("%e", "abc") == "abc"'); vrfy(strprintf("%5s", "abc") == " abc", '4833: strprintf("%5s", "abc") == " abc"'); vrfy(strprintf("%-5s", "abc") == "abc ", '4834: strprintf("%-5s", "abc") == "abc "'); /* restore config */ c = config("all", callcfg); print '4835: c = config("all", callcfg)'; print '4836: Ending test_strprintf'; } print '088: parsed test_fileop()'; /* * place holder for any print items */ print '100: reserved for future use'; /* * Report the number of errors found. */ define count_errors() { if (err == 0) { print "9998: passed all tests /\\../\\"; } else { print "****", err, "error(s) found \\/++\\/"; } } print '198: parsed count_errors()'; print '199: Ending main part of regression test suite read'; print; return test_booleans(); print; return test_variables(); print; return test_arithmetic(); print; return test_config(); print; return test_bignums(); print; return test_functions(); print; return _test_underscore(); print; return test_assoc(); print; return test_list(); print; return test_rand(); print; return test_mode(); print; print '1700: Beginning read test'; value = 0; vrfy(value == 0, '1701: value == 0'); read "test1700"; vrfy(value == 1, '1702: value == 1'); read -once "test1700"; vrfy(value == 1, '1703: value == 1'); read "test1700.cal"; vrfy(value == 2, '1704: value == 2'); read -once "test1700.cal"; vrfy(value == 2, '1705: value == 2'); read "test1700.cal"; vrfy(value == 3, '1706: value == 3'); print '1707: Ending read test'; print; return test_obj(); print; return test_prime(); print; return test_lucas(); print; return test_newop(); print; return test_xx_incdec(); print; return test_round(); print; return test_2600(); print; return test_2700(); print; return test_matrix(); print; return test_strings(); print; return test_matobj(); print; return test_poly(); print; return test_det(); print; return test_trig(); print; return test_frem(); print; return test_error(); print; return test_param(); print; return test_noarg(); print; return test_ptest(); print; return test_redc(); print; return test_fileops(); print; return test_matdcl(); print; return test_objmat(); print; return test_fileop(); print; return test_charset(); print; return test_strprintf(); print; return count_errors(); print '9999: Ending regression tests';