diff options
author | Fabrice Bellard <fabrice@bellard.org> | 2025-03-18 18:29:10 +0100 |
---|---|---|
committer | Fabrice Bellard <fabrice@bellard.org> | 2025-03-18 18:29:10 +0100 |
commit | 61e8b9442840bf94a2a9b0b872c8b3a197c1eac3 (patch) | |
tree | a9a3bee4f06eed73e9ea9a440c3193cb5b613501 /tests | |
parent | 837a69758874339a75560d99cea665f1966799c8 (diff) | |
download | quickjs-61e8b9442840bf94a2a9b0b872c8b3a197c1eac3.tar.gz quickjs-61e8b9442840bf94a2a9b0b872c8b3a197c1eac3.zip |
removed bignum support and qjscalc - added optimized BigInt implementation
Diffstat (limited to 'tests')
-rw-r--r-- | tests/microbench.js | 33 | ||||
-rw-r--r-- | tests/test_bigfloat.js | 279 | ||||
-rw-r--r-- | tests/test_bigint.js | 249 | ||||
-rw-r--r-- | tests/test_bignum.js | 114 | ||||
-rw-r--r-- | tests/test_op_overloading.js | 207 | ||||
-rw-r--r-- | tests/test_qjscalc.js | 256 |
6 files changed, 255 insertions, 883 deletions
diff --git a/tests/microbench.js b/tests/microbench.js index 63790b6..871770e 100644 --- a/tests/microbench.js +++ b/tests/microbench.js @@ -687,29 +687,6 @@ function float_arith(n) return n * 1000; } -function bigfloat_arith(n) -{ - var i, j, sum, a, incr, a0; - global_res = 0; - a0 = BigFloat("0.1"); - incr = BigFloat("1.1"); - for(j = 0; j < n; j++) { - sum = 0; - a = a0; - for(i = 0; i < 1000; i++) { - sum += a * a; - a += incr; - } - global_res += sum; - } - return n * 1000; -} - -function float256_arith(n) -{ - return BigFloatEnv.setPrec(bigfloat_arith.bind(null, n), 237, 19); -} - function bigint_arith(n, bits) { var i, j, sum, a, incr, a0, sum0; @@ -728,6 +705,11 @@ function bigint_arith(n, bits) return n * 1000; } +function bigint32_arith(n) +{ + return bigint_arith(n, 32); +} + function bigint64_arith(n) { return bigint_arith(n, 64); @@ -1231,13 +1213,10 @@ function main(argc, argv, g) if (typeof BigInt === "function") { /* BigInt test */ + test_list.push(bigint32_arith); test_list.push(bigint64_arith); test_list.push(bigint256_arith); } - if (typeof BigFloat === "function") { - /* BigFloat test */ - test_list.push(float256_arith); - } test_list.push(sort_bench); for (i = 1; i < argc;) { diff --git a/tests/test_bigfloat.js b/tests/test_bigfloat.js deleted file mode 100644 index c35fb72..0000000 --- a/tests/test_bigfloat.js +++ /dev/null @@ -1,279 +0,0 @@ -"use strict"; - -function assert(actual, expected, message) { - if (arguments.length == 1) - expected = true; - - if (actual === expected) - return; - - if (actual !== null && expected !== null - && typeof actual == 'object' && typeof expected == 'object' - && actual.toString() === expected.toString()) - return; - - throw Error("assertion failed: got |" + actual + "|" + - ", expected |" + expected + "|" + - (message ? " (" + message + ")" : "")); -} - -function assertThrows(err, func) -{ - var ex; - ex = false; - try { - func(); - } catch(e) { - ex = true; - assert(e instanceof err); - } - assert(ex, true, "exception expected"); -} - -// load more elaborate version of assert if available -try { __loadScript("test_assert.js"); } catch(e) {} - -/*----------------*/ - -/* a must be < b */ -function test_less(a, b) -{ - assert(a < b); - assert(!(b < a)); - assert(a <= b); - assert(!(b <= a)); - assert(b > a); - assert(!(a > b)); - assert(b >= a); - assert(!(a >= b)); - assert(a != b); - assert(!(a == b)); -} - -/* a must be numerically equal to b */ -function test_eq(a, b) -{ - assert(a == b); - assert(b == a); - assert(!(a != b)); - assert(!(b != a)); - assert(a <= b); - assert(b <= a); - assert(!(a < b)); - assert(a >= b); - assert(b >= a); - assert(!(a > b)); -} - -function test_divrem(div1, a, b, q) -{ - var div, divrem, t; - div = BigInt[div1]; - divrem = BigInt[div1 + "rem"]; - assert(div(a, b) == q); - t = divrem(a, b); - assert(t[0] == q); - assert(a == b * q + t[1]); -} - -function test_idiv1(div, a, b, r) -{ - test_divrem(div, a, b, r[0]); - test_divrem(div, -a, b, r[1]); - test_divrem(div, a, -b, r[2]); - test_divrem(div, -a, -b, r[3]); -} - -/* QuickJS BigInt extensions */ -function test_bigint_ext() -{ - var r; - assert(BigInt.floorLog2(0n) === -1n); - assert(BigInt.floorLog2(7n) === 2n); - - assert(BigInt.sqrt(0xffffffc000000000000000n) === 17592185913343n); - r = BigInt.sqrtrem(0xffffffc000000000000000n); - assert(r[0] === 17592185913343n); - assert(r[1] === 35167191957503n); - - test_idiv1("tdiv", 3n, 2n, [1n, -1n, -1n, 1n]); - test_idiv1("fdiv", 3n, 2n, [1n, -2n, -2n, 1n]); - test_idiv1("cdiv", 3n, 2n, [2n, -1n, -1n, 2n]); - test_idiv1("ediv", 3n, 2n, [1n, -2n, -1n, 2n]); -} - -function test_bigfloat() -{ - var e, a, b, sqrt2; - - assert(typeof 1n === "bigint"); - assert(typeof 1l === "bigfloat"); - assert(1 == 1.0l); - assert(1 !== 1.0l); - - test_less(2l, 3l); - test_eq(3l, 3l); - - test_less(2, 3l); - test_eq(3, 3l); - - test_less(2.1, 3l); - test_eq(Math.sqrt(9), 3l); - - test_less(2n, 3l); - test_eq(3n, 3l); - - e = new BigFloatEnv(128); - assert(e.prec == 128); - a = BigFloat.sqrt(2l, e); - assert(a === BigFloat.parseFloat("0x1.6a09e667f3bcc908b2fb1366ea957d3e", 0, e)); - assert(e.inexact === true); - assert(BigFloat.fpRound(a) == 0x1.6a09e667f3bcc908b2fb1366ea95l); - - b = BigFloatEnv.setPrec(BigFloat.sqrt.bind(null, 2), 128); - assert(a === b); - - assert(BigFloat.isNaN(BigFloat(NaN))); - assert(BigFloat.isFinite(1l)); - assert(!BigFloat.isFinite(1l/0l)); - - assert(BigFloat.abs(-3l) === 3l); - assert(BigFloat.sign(-3l) === -1l); - - assert(BigFloat.exp(0.2l) === 1.2214027581601698339210719946396742l); - assert(BigFloat.log(3l) === 1.0986122886681096913952452369225256l); - assert(BigFloat.pow(2.1l, 1.6l) === 3.277561666451861947162828744873745l); - - assert(BigFloat.sin(-1l) === -0.841470984807896506652502321630299l); - assert(BigFloat.cos(1l) === 0.5403023058681397174009366074429766l); - assert(BigFloat.tan(0.1l) === 0.10033467208545054505808004578111154l); - - assert(BigFloat.asin(0.3l) === 0.30469265401539750797200296122752915l); - assert(BigFloat.acos(0.4l) === 1.1592794807274085998465837940224159l); - assert(BigFloat.atan(0.7l) === 0.610725964389208616543758876490236l); - assert(BigFloat.atan2(7.1l, -5.1l) === 2.1937053809751415549388104628759813l); - - assert(BigFloat.floor(2.5l) === 2l); - assert(BigFloat.ceil(2.5l) === 3l); - assert(BigFloat.trunc(-2.5l) === -2l); - assert(BigFloat.round(2.5l) === 3l); - - assert(BigFloat.fmod(3l,2l) === 1l); - assert(BigFloat.remainder(3l,2l) === -1l); - - /* string conversion */ - assert((1234.125l).toString(), "1234.125"); - assert((1234.125l).toFixed(2), "1234.13"); - assert((1234.125l).toFixed(2, "down"), "1234.12"); - assert((1234.125l).toExponential(), "1.234125e+3"); - assert((1234.125l).toExponential(5), "1.23413e+3"); - assert((1234.125l).toExponential(5, BigFloatEnv.RNDZ), "1.23412e+3"); - assert((1234.125l).toPrecision(6), "1234.13"); - assert((1234.125l).toPrecision(6, BigFloatEnv.RNDZ), "1234.12"); - - /* string conversion with binary base */ - assert((0x123.438l).toString(16), "123.438"); - assert((0x323.438l).toString(16), "323.438"); - assert((0x723.438l).toString(16), "723.438"); - assert((0xf23.438l).toString(16), "f23.438"); - assert((0x123.438l).toFixed(2, BigFloatEnv.RNDNA, 16), "123.44"); - assert((0x323.438l).toFixed(2, BigFloatEnv.RNDNA, 16), "323.44"); - assert((0x723.438l).toFixed(2, BigFloatEnv.RNDNA, 16), "723.44"); - assert((0xf23.438l).toFixed(2, BigFloatEnv.RNDNA, 16), "f23.44"); - assert((0x0.0000438l).toFixed(6, BigFloatEnv.RNDNA, 16), "0.000044"); - assert((0x1230000000l).toFixed(1, BigFloatEnv.RNDNA, 16), "1230000000.0"); - assert((0x123.438l).toPrecision(5, BigFloatEnv.RNDNA, 16), "123.44"); - assert((0x123.438l).toPrecision(5, BigFloatEnv.RNDZ, 16), "123.43"); - assert((0x323.438l).toPrecision(5, BigFloatEnv.RNDNA, 16), "323.44"); - assert((0x723.438l).toPrecision(5, BigFloatEnv.RNDNA, 16), "723.44"); - assert((-0xf23.438l).toPrecision(5, BigFloatEnv.RNDD, 16), "-f23.44"); - assert((0x123.438l).toExponential(4, BigFloatEnv.RNDNA, 16), "1.2344p+8"); -} - -function test_bigdecimal() -{ - assert(1m === 1m); - assert(1m !== 2m); - test_less(1m, 2m); - test_eq(2m, 2m); - - test_less(1, 2m); - test_eq(2, 2m); - - test_less(1.1, 2m); - test_eq(Math.sqrt(4), 2m); - - test_less(2n, 3m); - test_eq(3n, 3m); - - assert(BigDecimal("1234.1") === 1234.1m); - assert(BigDecimal(" 1234.1") === 1234.1m); - assert(BigDecimal(" 1234.1 ") === 1234.1m); - - assert(BigDecimal(0.1) === 0.1m); - assert(BigDecimal(123) === 123m); - assert(BigDecimal(true) === 1m); - - assert(123m + 1m === 124m); - assert(123m - 1m === 122m); - - assert(3.2m * 3m === 9.6m); - assert(10m / 2m === 5m); - assertThrows(RangeError, () => { 10m / 3m } ); - - assert(10m % 3m === 1m); - assert(-10m % 3m === -1m); - - assert(1234.5m ** 3m === 1881365963.625m); - assertThrows(RangeError, () => { 2m ** 3.1m } ); - assertThrows(RangeError, () => { 2m ** -3m } ); - - assert(BigDecimal.sqrt(2m, - { roundingMode: "half-even", - maximumSignificantDigits: 4 }) === 1.414m); - assert(BigDecimal.sqrt(101m, - { roundingMode: "half-even", - maximumFractionDigits: 3 }) === 10.050m); - assert(BigDecimal.sqrt(0.002m, - { roundingMode: "half-even", - maximumFractionDigits: 3 }) === 0.045m); - - assert(BigDecimal.round(3.14159m, - { roundingMode: "half-even", - maximumFractionDigits: 3 }) === 3.142m); - - assert(BigDecimal.add(3.14159m, 0.31212m, - { roundingMode: "half-even", - maximumFractionDigits: 2 }) === 3.45m); - assert(BigDecimal.sub(3.14159m, 0.31212m, - { roundingMode: "down", - maximumFractionDigits: 2 }) === 2.82m); - assert(BigDecimal.mul(3.14159m, 0.31212m, - { roundingMode: "half-even", - maximumFractionDigits: 3 }) === 0.981m); - assert(BigDecimal.mod(3.14159m, 0.31211m, - { roundingMode: "half-even", - maximumFractionDigits: 4 }) === 0.0205m); - assert(BigDecimal.div(20m, 3m, - { roundingMode: "half-even", - maximumSignificantDigits: 3 }) === 6.67m); - assert(BigDecimal.div(20m, 3m, - { roundingMode: "half-even", - maximumFractionDigits: 50 }) === - 6.66666666666666666666666666666666666666666666666667m); - - /* string conversion */ - assert((1234.125m).toString(), "1234.125"); - assert((1234.125m).toFixed(2), "1234.13"); - assert((1234.125m).toFixed(2, "down"), "1234.12"); - assert((1234.125m).toExponential(), "1.234125e+3"); - assert((1234.125m).toExponential(5), "1.23413e+3"); - assert((1234.125m).toExponential(5, "down"), "1.23412e+3"); - assert((1234.125m).toPrecision(6), "1234.13"); - assert((1234.125m).toPrecision(6, "down"), "1234.12"); - assert((-1234.125m).toPrecision(6, "floor"), "-1234.13"); -} - -test_bigint_ext(); -test_bigfloat(); -test_bigdecimal(); diff --git a/tests/test_bigint.js b/tests/test_bigint.js new file mode 100644 index 0000000..a0d028c --- /dev/null +++ b/tests/test_bigint.js @@ -0,0 +1,249 @@ +"use strict"; + +function assert(actual, expected, message) { + if (arguments.length == 1) + expected = true; + + if (actual === expected) + return; + + if (actual !== null && expected !== null + && typeof actual == 'object' && typeof expected == 'object' + && actual.toString() === expected.toString()) + return; + + throw Error("assertion failed: got |" + actual + "|" + + ", expected |" + expected + "|" + + (message ? " (" + message + ")" : "")); +} + +function assertThrows(err, func) +{ + var ex; + ex = false; + try { + func(); + } catch(e) { + ex = true; + assert(e instanceof err); + } + assert(ex, true, "exception expected"); +} + +// load more elaborate version of assert if available +try { __loadScript("test_assert.js"); } catch(e) {} + +/*----------------*/ + +function bigint_pow(a, n) +{ + var r, i; + r = 1n; + for(i = 0n; i < n; i++) + r *= a; + return r; +} + +/* a must be < b */ +function test_less(a, b) +{ + assert(a < b); + assert(!(b < a)); + assert(a <= b); + assert(!(b <= a)); + assert(b > a); + assert(!(a > b)); + assert(b >= a); + assert(!(a >= b)); + assert(a != b); + assert(!(a == b)); +} + +/* a must be numerically equal to b */ +function test_eq(a, b) +{ + assert(a == b); + assert(b == a); + assert(!(a != b)); + assert(!(b != a)); + assert(a <= b); + assert(b <= a); + assert(!(a < b)); + assert(a >= b); + assert(b >= a); + assert(!(a > b)); +} + +function test_bigint1() +{ + var a, r; + + test_less(2n, 3n); + test_eq(3n, 3n); + + test_less(2, 3n); + test_eq(3, 3n); + + test_less(2.1, 3n); + test_eq(Math.sqrt(4), 2n); + + a = bigint_pow(3n, 100n); + assert((a - 1n) != a); + assert(a == 515377520732011331036461129765621272702107522001n); + assert(a == 0x5a4653ca673768565b41f775d6947d55cf3813d1n); + + r = 1n << 31n; + assert(r, 2147483648n, "1 << 31n === 2147483648n"); + + r = 1n << 32n; + assert(r, 4294967296n, "1 << 32n === 4294967296n"); +} + +function test_bigint2() +{ + assert(BigInt(""), 0n); + assert(BigInt(" 123"), 123n); + assert(BigInt(" 123 "), 123n); + assertThrows(SyntaxError, () => { BigInt("+") } ); + assertThrows(SyntaxError, () => { BigInt("-") } ); + assertThrows(SyntaxError, () => { BigInt("\x00a") } ); + assertThrows(SyntaxError, () => { BigInt(" 123 r") } ); +} + +function test_bigint3() +{ + assert(Number(0xffffffffffffffffn), 18446744073709552000); + assert(Number(-0xffffffffffffffffn), -18446744073709552000); + assert(100000000000000000000n == 1e20, true); + assert(100000000000000000001n == 1e20, false); + assert((1n << 100n).toString(10), "1267650600228229401496703205376"); + assert((-1n << 100n).toString(36), "-3ewfdnca0n6ld1ggvfgg"); + assert((1n << 100n).toString(8), "2000000000000000000000000000000000"); + + assert(0x5a4653ca673768565b41f775n << 78n, 8443945299673273647701379149826607537748959488376832n); + assert(-0x5a4653ca673768565b41f775n << 78n, -8443945299673273647701379149826607537748959488376832n); + assert(0x5a4653ca673768565b41f775n >> 78n, 92441n); + assert(-0x5a4653ca673768565b41f775n >> 78n, -92442n); + + assert(~0x5a653ca6n, -1516584103n); + assert(0x5a463ca6n | 0x67376856n, 2138537206n); + assert(0x5a463ca6n & 0x67376856n, 1107699718n); + assert(0x5a463ca6n ^ 0x67376856n, 1030837488n); + + assert(3213213213213213432453243n / 123434343439n, 26031760073331n); + assert(-3213213213213213432453243n / 123434343439n, -26031760073331n); + assert(-3213213213213213432453243n % -123434343439n, -26953727934n); + assert(3213213213213213432453243n % 123434343439n, 26953727934n); + + assert((-2n) ** 127n, -170141183460469231731687303715884105728n); + assert((2n) ** 127n, 170141183460469231731687303715884105728n); + assert((-256n) ** 11n, -309485009821345068724781056n); + assert((7n) ** 20n, 79792266297612001n); +} + +/* pi computation */ + +/* return floor(log2(a)) for a > 0 and 0 for a = 0 */ +function floor_log2(a) +{ + var k_max, a1, k, i; + k_max = 0n; + while ((a >> (2n ** k_max)) != 0n) { + k_max++; + } + k = 0n; + a1 = a; + for(i = k_max - 1n; i >= 0n; i--) { + a1 = a >> (2n ** i); + if (a1 != 0n) { + a = a1; + k |= (1n << i); + } + } + return k; +} + +/* return ceil(log2(a)) for a > 0 */ +function ceil_log2(a) +{ + return floor_log2(a - 1n) + 1n; +} + +/* return floor(sqrt(a)) (not efficient but simple) */ +function int_sqrt(a) +{ + var l, u, s; + if (a == 0n) + return a; + l = ceil_log2(a); + u = 1n << ((l + 1n) / 2n); + /* u >= floor(sqrt(a)) */ + for(;;) { + s = u; + u = ((a / s) + s) / 2n; + if (u >= s) + break; + } + return s; +} + +/* return pi * 2**prec */ +function calc_pi(prec) { + const CHUD_A = 13591409n; + const CHUD_B = 545140134n; + const CHUD_C = 640320n; + const CHUD_C3 = 10939058860032000n; /* C^3/24 */ + const CHUD_BITS_PER_TERM = 47.11041313821584202247; /* log2(C/12)*3 */ + + /* return [P, Q, G] */ + function chud_bs(a, b, need_G) { + var c, P, Q, G, P1, Q1, G1, P2, Q2, G2; + if (a == (b - 1n)) { + G = (2n * b - 1n) * (6n * b - 1n) * (6n * b - 5n); + P = G * (CHUD_B * b + CHUD_A); + if (b & 1n) + P = -P; + Q = b * b * b * CHUD_C3; + } else { + c = (a + b) >> 1n; + [P1, Q1, G1] = chud_bs(a, c, true); + [P2, Q2, G2] = chud_bs(c, b, need_G); + P = P1 * Q2 + P2 * G1; + Q = Q1 * Q2; + if (need_G) + G = G1 * G2; + else + G = 0n; + } + return [P, Q, G]; + } + + var n, P, Q, G; + /* number of serie terms */ + n = BigInt(Math.ceil(Number(prec) / CHUD_BITS_PER_TERM)) + 10n; + [P, Q, G] = chud_bs(0n, n, false); + Q = (CHUD_C / 12n) * (Q << prec) / (P + Q * CHUD_A); + G = int_sqrt(CHUD_C << (2n * prec)); + return (Q * G) >> prec; +} + +function compute_pi(n_digits) { + var r, n_digits, n_bits, out; + /* we add more bits to reduce the probability of bad rounding for + the last digits */ + n_bits = BigInt(Math.ceil(n_digits * Math.log2(10))) + 32n; + r = calc_pi(n_bits); + r = ((10n ** BigInt(n_digits)) * r) >> n_bits; + out = r.toString(); + return out[0] + "." + out.slice(1); +} + +function test_pi() +{ + assert(compute_pi(2000), "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009"); +} + +test_bigint1(); +test_bigint2(); +test_bigint3(); +test_pi(); diff --git a/tests/test_bignum.js b/tests/test_bignum.js deleted file mode 100644 index 1520d82..0000000 --- a/tests/test_bignum.js +++ /dev/null @@ -1,114 +0,0 @@ -"use strict"; - -function assert(actual, expected, message) { - if (arguments.length == 1) - expected = true; - - if (actual === expected) - return; - - if (actual !== null && expected !== null - && typeof actual == 'object' && typeof expected == 'object' - && actual.toString() === expected.toString()) - return; - - throw Error("assertion failed: got |" + actual + "|" + - ", expected |" + expected + "|" + - (message ? " (" + message + ")" : "")); -} - -function assertThrows(err, func) -{ - var ex; - ex = false; - try { - func(); - } catch(e) { - ex = true; - assert(e instanceof err); - } - assert(ex, true, "exception expected"); -} - -// load more elaborate version of assert if available -try { __loadScript("test_assert.js"); } catch(e) {} - -/*----------------*/ - -function bigint_pow(a, n) -{ - var r, i; - r = 1n; - for(i = 0n; i < n; i++) - r *= a; - return r; -} - -/* a must be < b */ -function test_less(a, b) -{ - assert(a < b); - assert(!(b < a)); - assert(a <= b); - assert(!(b <= a)); - assert(b > a); - assert(!(a > b)); - assert(b >= a); - assert(!(a >= b)); - assert(a != b); - assert(!(a == b)); -} - -/* a must be numerically equal to b */ -function test_eq(a, b) -{ - assert(a == b); - assert(b == a); - assert(!(a != b)); - assert(!(b != a)); - assert(a <= b); - assert(b <= a); - assert(!(a < b)); - assert(a >= b); - assert(b >= a); - assert(!(a > b)); -} - -function test_bigint1() -{ - var a, r; - - test_less(2n, 3n); - test_eq(3n, 3n); - - test_less(2, 3n); - test_eq(3, 3n); - - test_less(2.1, 3n); - test_eq(Math.sqrt(4), 2n); - - a = bigint_pow(3n, 100n); - assert((a - 1n) != a); - assert(a == 515377520732011331036461129765621272702107522001n); - assert(a == 0x5a4653ca673768565b41f775d6947d55cf3813d1n); - - r = 1n << 31n; - assert(r, 2147483648n, "1 << 31n === 2147483648n"); - - r = 1n << 32n; - assert(r, 4294967296n, "1 << 32n === 4294967296n"); -} - -function test_bigint2() -{ - assert(BigInt(""), 0n); - assert(BigInt(" 123"), 123n); - assert(BigInt(" 123 "), 123n); - assertThrows(SyntaxError, () => { BigInt("+") } ); - assertThrows(SyntaxError, () => { BigInt("-") } ); - assertThrows(SyntaxError, () => { BigInt("\x00a") } ); - assertThrows(SyntaxError, () => { BigInt(" 123 r") } ); -} - -test_bigint1(); -test_bigint2(); diff --git a/tests/test_op_overloading.js b/tests/test_op_overloading.js deleted file mode 100644 index 269abb2..0000000 --- a/tests/test_op_overloading.js +++ /dev/null @@ -1,207 +0,0 @@ -"use strict"; - -function assert(actual, expected, message) { - if (arguments.length == 1) - expected = true; - - if (actual === expected) - return; - - if (actual !== null && expected !== null - && typeof actual == 'object' && typeof expected == 'object' - && actual.toString() === expected.toString()) - return; - - throw Error("assertion failed: got |" + actual + "|" + - ", expected |" + expected + "|" + - (message ? " (" + message + ")" : "")); -} - -/* operators overloading with Operators.create() */ -function test_operators_create() { - class Vec2 - { - constructor(x, y) { - this.x = x; - this.y = y; - } - static mul_scalar(p1, a) { - var r = new Vec2(); - r.x = p1.x * a; - r.y = p1.y * a; - return r; - } - toString() { - return "Vec2(" + this.x + "," + this.y + ")"; - } - } - - Vec2.prototype[Symbol.operatorSet] = Operators.create( - { - "+"(p1, p2) { - var r = new Vec2(); - r.x = p1.x + p2.x; - r.y = p1.y + p2.y; - return r; - }, - "-"(p1, p2) { - var r = new Vec2(); - r.x = p1.x - p2.x; - r.y = p1.y - p2.y; - return r; - }, - "=="(a, b) { - return a.x == b.x && a.y == b.y; - }, - "<"(a, b) { - var r; - /* lexicographic order */ - if (a.x == b.x) - r = (a.y < b.y); - else - r = (a.x < b.x); - return r; - }, - "++"(a) { - var r = new Vec2(); - r.x = a.x + 1; - r.y = a.y + 1; - return r; - } - }, - { - left: Number, - "*"(a, b) { - return Vec2.mul_scalar(b, a); - } - }, - { - right: Number, - "*"(a, b) { - return Vec2.mul_scalar(a, b); - } - }); - - var a = new Vec2(1, 2); - var b = new Vec2(3, 4); - var r; - - r = a * 2 + 3 * b; - assert(r.x === 11 && r.y === 16); - assert(a == a, true); - assert(a == b, false); - assert(a != a, false); - assert(a < b, true); - assert(a <= b, true); - assert(b < a, false); - assert(b <= a, false); - assert(a <= a, true); - assert(a >= a, true); - a++; - assert(a.x === 2 && a.y === 3); - r = ++a; - assert(a.x === 3 && a.y === 4); - assert(r === a); -} - -/* operators overloading thru inheritance */ -function test_operators() -{ - var Vec2; - - function mul_scalar(p1, a) { - var r = new Vec2(); - r.x = p1.x * a; - r.y = p1.y * a; - return r; - } - - var vec2_ops = Operators({ - "+"(p1, p2) { - var r = new Vec2(); - r.x = p1.x + p2.x; - r.y = p1.y + p2.y; - return r; - }, - "-"(p1, p2) { - var r = new Vec2(); - r.x = p1.x - p2.x; - r.y = p1.y - p2.y; - return r; - }, - "=="(a, b) { - return a.x == b.x && a.y == b.y; - }, - "<"(a, b) { - var r; - /* lexicographic order */ - if (a.x == b.x) - r = (a.y < b.y); - else - r = (a.x < b.x); - return r; - }, - "++"(a) { - var r = new Vec2(); - r.x = a.x + 1; - r.y = a.y + 1; - return r; - } - }, - { - left: Number, - "*"(a, b) { - return mul_scalar(b, a); - } - }, - { - right: Number, - "*"(a, b) { - return mul_scalar(a, b); - } - }); - - Vec2 = class Vec2 extends vec2_ops - { - constructor(x, y) { - super(); - this.x = x; - this.y = y; - } - toString() { - return "Vec2(" + this.x + "," + this.y + ")"; - } - } - - var a = new Vec2(1, 2); - var b = new Vec2(3, 4); - var r; - - r = a * 2 + 3 * b; - assert(r.x === 11 && r.y === 16); - assert(a == a, true); - assert(a == b, false); - assert(a != a, false); - assert(a < b, true); - assert(a <= b, true); - assert(b < a, false); - assert(b <= a, false); - assert(a <= a, true); - assert(a >= a, true); - a++; - assert(a.x === 2 && a.y === 3); - r = ++a; - assert(a.x === 3 && a.y === 4); - assert(r === a); -} - -function test_default_op() -{ - assert(Object(1) + 2, 3); - assert(Object(1) + true, 2); - assert(-Object(1), -1); -} - -test_operators_create(); -test_operators(); -test_default_op(); diff --git a/tests/test_qjscalc.js b/tests/test_qjscalc.js deleted file mode 100644 index e97dd31..0000000 --- a/tests/test_qjscalc.js +++ /dev/null @@ -1,256 +0,0 @@ -"use math"; -"use strict"; - -function assert(actual, expected, message) { - if (arguments.length == 1) - expected = true; - - if (actual === expected) - return; - - if (actual !== null && expected !== null - && typeof actual == 'object' && typeof expected == 'object' - && actual.toString() === expected.toString()) - return; - - throw Error("assertion failed: got |" + actual + "|" + - ", expected |" + expected + "|" + - (message ? " (" + message + ")" : "")); -} - -function assertThrows(err, func) -{ - var ex; - ex = false; - try { - func(); - } catch(e) { - ex = true; - assert(e instanceof err); - } - assert(ex, true, "exception expected"); -} - -// load more elaborate version of assert if available -try { __loadScript("test_assert.js"); } catch(e) {} - -/*----------------*/ - -function pow(a, n) -{ - var r, i; - r = 1; - for(i = 0; i < n; i++) - r *= a; - return r; -} - -function test_integer() -{ - var a, r; - a = pow(3, 100); - assert((a - 1) != a); - assert(a == 515377520732011331036461129765621272702107522001); - assert(a == 0x5a4653ca673768565b41f775d6947d55cf3813d1); - assert(Integer.isInteger(1) === true); - assert(Integer.isInteger(1.0) === false); - - assert(Integer.floorLog2(0) === -1); - assert(Integer.floorLog2(7) === 2); - - r = 1 << 31; - assert(r, 2147483648, "1 << 31 === 2147483648"); - - r = 1 << 32; - assert(r, 4294967296, "1 << 32 === 4294967296"); - - r = (1 << 31) < 0; - assert(r, false, "(1 << 31) < 0 === false"); - - assert(typeof 1 === "number"); - assert(typeof 9007199254740991 === "number"); - assert(typeof 9007199254740992 === "bigint"); -} - -function test_float() -{ - assert(typeof 1.0 === "bigfloat"); - assert(1 == 1.0); - assert(1 !== 1.0); -} - -/* jscalc tests */ - -function test_modulo() -{ - var i, p, a, b; - - /* Euclidian modulo operator */ - assert((-3) % 2 == 1); - assert(3 % (-2) == 1); - - p = 101; - for(i = 1; i < p; i++) { - a = Integer.invmod(i, p); - assert(a >= 0 && a < p); - assert((i * a) % p == 1); - } - - assert(Integer.isPrime(2^107-1)); - assert(!Integer.isPrime((2^107-1) * (2^89-1))); - a = Integer.factor((2^89-1)*2^3*11*13^2*1009); - assert(a == [ 2,2,2,11,13,13,1009,618970019642690137449562111 ]); -} - -function test_fraction() -{ - assert((1/3 + 1).toString(), "4/3") - assert((2/3)^30, 1073741824/205891132094649); - assert(1/3 < 2/3); - assert(1/3 < 1); - assert(1/3 == 1.0/3); - assert(1.0/3 < 2/3); -} - -function test_mod() -{ - var a, b, p; - - a = Mod(3, 101); - b = Mod(-1, 101); - assert((a + b) == Mod(2, 101)); - assert(a ^ 100 == Mod(1, 101)); - - p = 2 ^ 607 - 1; /* mersenne prime */ - a = Mod(3, p) ^ (p - 1); - assert(a == Mod(1, p)); -} - -function test_polynomial() -{ - var a, b, q, r, t, i; - a = (1 + X) ^ 4; - assert(a == X^4+4*X^3+6*X^2+4*X+1); - - r = (1 + X); - q = (1+X+X^2); - b = (1 - X^2); - a = q * b + r; - t = Polynomial.divrem(a, b); - assert(t[0] == q); - assert(t[1] == r); - - a = 1 + 2*X + 3*X^2; - assert(a.apply(0.1) == 1.23); - - a = 1-2*X^2+2*X^3; - assert(deriv(a) == (6*X^2-4*X)); - assert(deriv(integ(a)) == a); - - a = (X-1)*(X-2)*(X-3)*(X-4)*(X-0.1); - r = polroots(a); - for(i = 0; i < r.length; i++) { - b = abs(a.apply(r[i])); - assert(b <= 1e-13); - } -} - -function test_poly_mod() -{ - var a, p; - - /* modulo using polynomials */ - p = X^2 + X + 1; - a = PolyMod(3+X, p) ^ 10; - assert(a == PolyMod(-3725*X-18357, p)); - - a = PolyMod(1/X, 1+X^2); - assert(a == PolyMod(-X, X^2+1)); -} - -function test_rfunc() -{ - var a; - a = (X+1)/((X+1)*(X-1)); - assert(a == 1/(X-1)); - a = (X + 2) / (X - 2); - assert(a.apply(1/3) == -7/5); - - assert(deriv((X^2-X+1)/(X-1)) == (X^2-2*X)/(X^2-2*X+1)); -} - -function test_series() -{ - var a, b; - a = 1+X+O(X^5); - b = a.inverse(); - assert(b == 1-X+X^2-X^3+X^4+O(X^5)); - assert(deriv(b) == -1+2*X-3*X^2+4*X^3+O(X^4)); - assert(deriv(integ(b)) == b); - - a = Series(1/(1-X), 5); - assert(a == 1+X+X^2+X^3+X^4+O(X^5)); - b = a.apply(0.1); - assert(b == 1.1111); - - assert(exp(3*X^2+O(X^10)) == 1+3*X^2+9/2*X^4+9/2*X^6+27/8*X^8+O(X^10)); - assert(sin(X+O(X^6)) == X-1/6*X^3+1/120*X^5+O(X^6)); - assert(cos(X+O(X^6)) == 1-1/2*X^2+1/24*X^4+O(X^6)); - assert(tan(X+O(X^8)) == X+1/3*X^3+2/15*X^5+17/315*X^7+O(X^8)); - assert((1+X+O(X^6))^(2+X) == 1+2*X+2*X^2+3/2*X^3+5/6*X^4+5/12*X^5+O(X^6)); -} - -function test_matrix() -{ - var a, b, r; - a = [[1, 2],[3, 4]]; - b = [3, 4]; - r = a * b; - assert(r == [11, 25]); - r = (a^-1) * 2; - assert(r == [[-4, 2],[3, -1]]); - - assert(norm2([1,2,3]) == 14); - - assert(diag([1,2,3]) == [ [ 1, 0, 0 ], [ 0, 2, 0 ], [ 0, 0, 3 ] ]); - assert(trans(a) == [ [ 1, 3 ], [ 2, 4 ] ]); - assert(trans([1,2,3]) == [[1,2,3]]); - assert(trace(a) == 5); - - assert(charpoly(Matrix.hilbert(4)) == X^4-176/105*X^3+3341/12600*X^2-41/23625*X+1/6048000); - assert(det(Matrix.hilbert(4)) == 1/6048000); - - a = [[1,2,1],[-2,-3,1],[3,5,0]]; - assert(rank(a) == 2); - assert(ker(a) == [ [ 5 ], [ -3 ], [ 1 ] ]); - - assert(dp([1, 2, 3], [3, -4, -7]) === -26); - assert(cp([1, 2, 3], [3, -4, -7]) == [ -2, 16, -10 ]); -} - -function assert_eq(a, ref) -{ - assert(abs(a / ref - 1.0) <= 1e-15); -} - -function test_trig() -{ - assert_eq(sin(1/2), 0.479425538604203); - assert_eq(sin(2+3*I), 9.154499146911428-4.168906959966565*I); - assert_eq(cos(2+3*I), -4.189625690968807-9.109227893755337*I); - assert_eq((2+0.5*I)^(1.1-0.5*I), 2.494363021357619-0.23076804554558092*I); - assert_eq(sqrt(2*I), 1 + I); -} - -test_integer(); -test_float(); - -test_modulo(); -test_fraction(); -test_mod(); -test_polynomial(); -test_poly_mod(); -test_rfunc(); -test_series(); -test_matrix(); -test_trig(); |