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Diffstat (limited to 'dom/webgpu/tests/cts/checkout/src/unittests/maths.spec.ts')
| -rw-r--r-- | dom/webgpu/tests/cts/checkout/src/unittests/maths.spec.ts | 1021 |
1 files changed, 1021 insertions, 0 deletions
diff --git a/dom/webgpu/tests/cts/checkout/src/unittests/maths.spec.ts b/dom/webgpu/tests/cts/checkout/src/unittests/maths.spec.ts new file mode 100644 index 0000000000..4f3181855b --- /dev/null +++ b/dom/webgpu/tests/cts/checkout/src/unittests/maths.spec.ts @@ -0,0 +1,1021 @@ +export const description = ` +Util math unit tests. +`; + +import { makeTestGroup } from '../common/framework/test_group.js'; +import { objectEquals } from '../common/util/util.js'; +import { kBit, kValue } from '../webgpu/util/constants.js'; +import { + f32, + f32Bits, + float16ToUint16, + float32ToUint32, + Scalar, + uint16ToFloat16, + uint32ToFloat32, +} from '../webgpu/util/conversion.js'; +import { + biasedRange, + calculatePermutations, + cartesianProduct, + correctlyRoundedF32, + FlushMode, + fullF16Range, + fullF32Range, + fullI32Range, + hexToF32, + hexToF64, + lerp, + linearRange, + nextAfterF32, + oneULP, +} from '../webgpu/util/math.js'; + +import { UnitTest } from './unit_test.js'; + +export const g = makeTestGroup(UnitTest); + +/** + * Utility wrapper around oneULP to test if a value is within 1 ULP(x) + * + * @param got number to test + * @param expected number to be within 1 ULP of + * @param mode should oneULP FTZ + * @returns if got is within 1 ULP of expected + */ +function withinOneULP(got: number, expected: number, mode: FlushMode): boolean { + const ulp = oneULP(expected, mode); + return got >= expected - ulp && got <= expected + ulp; +} + +/** + * @returns true if arrays are equal within 1ULP, doing element-wise comparison + * as needed, and considering NaNs to be equal. + * + * Depends on the correctness of oneULP, which is tested in this file. + ** + * @param got array of numbers to compare for equality + * @param expect array of numbers to compare against + * @param mode should different subnormals be considered the same, i.e. should + * FTZ occur during comparison + **/ +function compareArrayOfNumbers( + got: Array<number>, + expect: Array<number>, + mode: FlushMode = 'flush' +): boolean { + return ( + got.length === expect.length && + got.every((value, index) => { + const expected = expect[index]; + return (Number.isNaN(value) && Number.isNaN(expected)) || withinOneULP(value, expected, mode); + }) + ); +} + +interface nextAfterCase { + val: number; + dir: boolean; + result: Scalar; +} + +g.test('nextAfterFlushToZero') + .paramsSubcasesOnly<nextAfterCase>( + // prettier-ignore + [ + // Edge Cases + { val: Number.NaN, dir: true, result: f32Bits(0x7fffffff) }, + { val: Number.NaN, dir: false, result: f32Bits(0x7fffffff) }, + { val: Number.POSITIVE_INFINITY, dir: true, result: f32Bits(kBit.f32.infinity.positive) }, + { val: Number.POSITIVE_INFINITY, dir: false, result: f32Bits(kBit.f32.infinity.positive) }, + { val: Number.NEGATIVE_INFINITY, dir: true, result: f32Bits(kBit.f32.infinity.negative) }, + { val: Number.NEGATIVE_INFINITY, dir: false, result: f32Bits(kBit.f32.infinity.negative) }, + + // Zeroes + { val: +0, dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: +0, dir: false, result: f32Bits(kBit.f32.negative.max) }, + { val: -0, dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: -0, dir: false, result: f32Bits(kBit.f32.negative.max) }, + + // Subnormals + { val: hexToF32(kBit.f32.subnormal.positive.min), dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: hexToF32(kBit.f32.subnormal.positive.min), dir: false, result: f32Bits(kBit.f32.negative.max) }, + { val: hexToF32(kBit.f32.subnormal.positive.max), dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: hexToF32(kBit.f32.subnormal.positive.max), dir: false, result: f32Bits(kBit.f32.negative.max) }, + { val: hexToF32(kBit.f32.subnormal.negative.min), dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: hexToF32(kBit.f32.subnormal.negative.min), dir: false, result: f32Bits(kBit.f32.negative.max) }, + { val: hexToF32(kBit.f32.subnormal.negative.max), dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: hexToF32(kBit.f32.subnormal.negative.max), dir: false, result: f32Bits(kBit.f32.negative.max) }, + + // Normals + { val: hexToF32(kBit.f32.positive.max), dir: true, result: f32Bits(kBit.f32.infinity.positive) }, + { val: hexToF32(kBit.f32.positive.max), dir: false, result: f32Bits(0x7f7ffffe) }, + { val: hexToF32(kBit.f32.positive.min), dir: true, result: f32Bits(0x00800001) }, + { val: hexToF32(kBit.f32.positive.min), dir: false, result: f32(0) }, + { val: hexToF32(kBit.f32.negative.max), dir: true, result: f32(0) }, + { val: hexToF32(kBit.f32.negative.max), dir: false, result: f32Bits(0x80800001) }, + { val: hexToF32(kBit.f32.negative.min), dir: true, result: f32Bits(0xff7ffffe) }, + { val: hexToF32(kBit.f32.negative.min), dir: false, result: f32Bits(kBit.f32.infinity.negative) }, + { val: hexToF32(0x03800000), dir: true, result: f32Bits(0x03800001) }, + { val: hexToF32(0x03800000), dir: false, result: f32Bits(0x037fffff) }, + { val: hexToF32(0x83800000), dir: true, result: f32Bits(0x837fffff) }, + { val: hexToF32(0x83800000), dir: false, result: f32Bits(0x83800001) }, + + // Not precisely expressible as float32 + { val: 0.001, dir: true, result: f32Bits(0x3a83126f) }, // positive normal + { val: 0.001, dir: false, result: f32Bits(0x3a83126e) }, // positive normal + { val: -0.001, dir: true, result: f32Bits(0xba83126e) }, // negative normal + { val: -0.001, dir: false, result: f32Bits(0xba83126f) }, // negative normal + { val: 2.82E-40, dir: true, result: f32Bits(kBit.f32.positive.min) }, // positive subnormal + { val: 2.82E-40, dir: false, result: f32Bits(kBit.f32.negative.max) }, // positive subnormal + { val: -2.82E-40, dir: true, result: f32Bits(kBit.f32.positive.min) }, // negative subnormal + { val: -2.82E-40, dir: false, result: f32Bits(kBit.f32.negative.max) }, // negative subnormal + ] + ) + .fn(t => { + const val = t.params.val; + const dir = t.params.dir; + const expect = t.params.result; + const expect_type = typeof expect; + const got = nextAfterF32(val, dir, 'flush'); + const got_type = typeof got; + t.expect( + got.value === expect.value || (Number.isNaN(got.value) && Number.isNaN(expect.value)), + `nextAfter(${val}, ${dir}, true) returned ${got} (${got_type}). Expected ${expect} (${expect_type})` + ); + }); + +g.test('nextAfterNoFlush') + .paramsSubcasesOnly<nextAfterCase>( + // prettier-ignore + [ + // Edge Cases + { val: Number.NaN, dir: true, result: f32Bits(0x7fffffff) }, + { val: Number.NaN, dir: false, result: f32Bits(0x7fffffff) }, + { val: Number.POSITIVE_INFINITY, dir: true, result: f32Bits(kBit.f32.infinity.positive) }, + { val: Number.POSITIVE_INFINITY, dir: false, result: f32Bits(kBit.f32.infinity.positive) }, + { val: Number.NEGATIVE_INFINITY, dir: true, result: f32Bits(kBit.f32.infinity.negative) }, + { val: Number.NEGATIVE_INFINITY, dir: false, result: f32Bits(kBit.f32.infinity.negative) }, + + // Zeroes + { val: +0, dir: true, result: f32Bits(kBit.f32.subnormal.positive.min) }, + { val: +0, dir: false, result: f32Bits(kBit.f32.subnormal.negative.max) }, + { val: -0, dir: true, result: f32Bits(kBit.f32.subnormal.positive.min) }, + { val: -0, dir: false, result: f32Bits(kBit.f32.subnormal.negative.max) }, + + // Subnormals + { val: hexToF32(kBit.f32.subnormal.positive.min), dir: true, result: f32Bits(0x00000002) }, + { val: hexToF32(kBit.f32.subnormal.positive.min), dir: false, result: f32(0) }, + { val: hexToF32(kBit.f32.subnormal.positive.max), dir: true, result: f32Bits(kBit.f32.positive.min) }, + { val: hexToF32(kBit.f32.subnormal.positive.max), dir: false, result: f32Bits(0x007ffffe) }, + { val: hexToF32(kBit.f32.subnormal.negative.min), dir: true, result: f32Bits(0x807ffffe) }, + { val: hexToF32(kBit.f32.subnormal.negative.min), dir: false, result: f32Bits(kBit.f32.negative.max) }, + { val: hexToF32(kBit.f32.subnormal.negative.max), dir: true, result: f32(0) }, + { val: hexToF32(kBit.f32.subnormal.negative.max), dir: false, result: f32Bits(0x80000002) }, + + // Normals + { val: hexToF32(kBit.f32.positive.max), dir: true, result: f32Bits(kBit.f32.infinity.positive) }, + { val: hexToF32(kBit.f32.positive.max), dir: false, result: f32Bits(0x7f7ffffe) }, + { val: hexToF32(kBit.f32.positive.min), dir: true, result: f32Bits(0x00800001) }, + { val: hexToF32(kBit.f32.positive.min), dir: false, result: f32Bits(kBit.f32.subnormal.positive.max) }, + { val: hexToF32(kBit.f32.negative.max), dir: true, result: f32Bits(kBit.f32.subnormal.negative.min) }, + { val: hexToF32(kBit.f32.negative.max), dir: false, result: f32Bits(0x80800001) }, + { val: hexToF32(kBit.f32.negative.min), dir: true, result: f32Bits(0xff7ffffe) }, + { val: hexToF32(kBit.f32.negative.min), dir: false, result: f32Bits(kBit.f32.infinity.negative) }, + { val: hexToF32(0x03800000), dir: true, result: f32Bits(0x03800001) }, + { val: hexToF32(0x03800000), dir: false, result: f32Bits(0x037fffff) }, + { val: hexToF32(0x83800000), dir: true, result: f32Bits(0x837fffff) }, + { val: hexToF32(0x83800000), dir: false, result: f32Bits(0x83800001) }, + + // Not precisely expressible as float32 + { val: 0.001, dir: true, result: f32Bits(0x3a83126f) }, // positive normal + { val: 0.001, dir: false, result: f32Bits(0x3a83126e) }, // positive normal + { val: -0.001, dir: true, result: f32Bits(0xba83126e) }, // negative normal + { val: -0.001, dir: false, result: f32Bits(0xba83126f) }, // negative normal + { val: 2.82E-40, dir: true, result: f32Bits(0x0003121a) }, // positive subnormal + { val: 2.82E-40, dir: false, result: f32Bits(0x00031219) }, // positive subnormal + { val: -2.82E-40, dir: true, result: f32Bits(0x80031219) }, // negative subnormal + { val: -2.82E-40, dir: false, result: f32Bits(0x8003121a) }, // negative subnormal + ] + ) + .fn(t => { + const val = t.params.val; + const dir = t.params.dir; + const expect = t.params.result; + const expect_type = typeof expect; + const got = nextAfterF32(val, dir, 'no-flush'); + const got_type = typeof got; + t.expect( + got.value === expect.value || (Number.isNaN(got.value) && Number.isNaN(expect.value)), + `nextAfter(${val}, ${dir}, false) returned ${got} (${got_type}). Expected ${expect} (${expect_type})` + ); + }); + +interface OneULPCase { + target: number; + expect: number; +} + +g.test('oneULPFlushToZero') + .paramsSimple<OneULPCase>([ + // Edge Cases + { target: Number.NaN, expect: Number.NaN }, + { target: Number.POSITIVE_INFINITY, expect: hexToF32(0x73800000) }, + { target: Number.NEGATIVE_INFINITY, expect: hexToF32(0x73800000) }, + + // Zeroes + { target: +0, expect: hexToF32(0x00800000) }, + { target: -0, expect: hexToF32(0x00800000) }, + + // Subnormals + { target: hexToF32(kBit.f32.subnormal.positive.min), expect: hexToF32(0x00800000) }, + { target: 2.82e-40, expect: hexToF32(0x00800000) }, // positive subnormal + { target: hexToF32(kBit.f32.subnormal.positive.max), expect: hexToF32(0x00800000) }, + { target: hexToF32(kBit.f32.subnormal.negative.min), expect: hexToF32(0x00800000) }, + { target: -2.82e-40, expect: hexToF32(0x00800000) }, // negative subnormal + { target: hexToF32(kBit.f32.subnormal.negative.max), expect: hexToF32(0x00800000) }, + + // Normals + { target: hexToF32(kBit.f32.positive.min), expect: hexToF32(0x00000001) }, + { target: 1, expect: hexToF32(0x33800000) }, + { target: 2, expect: hexToF32(0x34000000) }, + { target: 4, expect: hexToF32(0x34800000) }, + { target: 1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.positive.max), expect: hexToF32(0x73800000) }, + { target: hexToF32(kBit.f32.negative.max), expect: hexToF32(0x00000001) }, + { target: -1, expect: hexToF32(0x33800000) }, + { target: -2, expect: hexToF32(0x34000000) }, + { target: -4, expect: hexToF32(0x34800000) }, + { target: -1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.negative.min), expect: hexToF32(0x73800000) }, + + // No precise f32 value + { target: 0.001, expect: hexToF32(0x2f000000) }, // positive normal + { target: -0.001, expect: hexToF32(0x2f000000) }, // negative normal + { target: 1e40, expect: hexToF32(0x73800000) }, // positive out of range + { target: -1e40, expect: hexToF32(0x73800000) }, // negative out of range + ]) + .fn(t => { + const target = t.params.target; + const got = oneULP(target, 'flush'); + const expect = t.params.expect; + t.expect( + got === expect || (Number.isNaN(got) && Number.isNaN(expect)), + `oneULP(${target}, true) returned ${got}. Expected ${expect}` + ); + }); + +g.test('oneULPNoFlush') + .paramsSimple<OneULPCase>([ + // Edge Cases + { target: Number.NaN, expect: Number.NaN }, + { target: Number.POSITIVE_INFINITY, expect: hexToF32(0x73800000) }, + { target: Number.NEGATIVE_INFINITY, expect: hexToF32(0x73800000) }, + + // Zeroes + { target: +0, expect: hexToF32(0x00000001) }, + { target: -0, expect: hexToF32(0x00000001) }, + + // Subnormals + { target: hexToF32(kBit.f32.subnormal.positive.min), expect: hexToF32(0x00000001) }, + { target: -2.82e-40, expect: hexToF32(0x00000001) }, // negative subnormal + { target: hexToF32(kBit.f32.subnormal.positive.max), expect: hexToF32(0x00000001) }, + { target: hexToF32(kBit.f32.subnormal.negative.min), expect: hexToF32(0x00000001) }, + { target: 2.82e-40, expect: hexToF32(0x00000001) }, // positive subnormal + { target: hexToF32(kBit.f32.subnormal.negative.max), expect: hexToF32(0x00000001) }, + + // Normals + { target: hexToF32(kBit.f32.positive.min), expect: hexToF32(0x00000001) }, + { target: 1, expect: hexToF32(0x33800000) }, + { target: 2, expect: hexToF32(0x34000000) }, + { target: 4, expect: hexToF32(0x34800000) }, + { target: 1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.positive.max), expect: hexToF32(0x73800000) }, + { target: hexToF32(kBit.f32.negative.max), expect: hexToF32(0x00000001) }, + { target: -1, expect: hexToF32(0x33800000) }, + { target: -2, expect: hexToF32(0x34000000) }, + { target: -4, expect: hexToF32(0x34800000) }, + { target: -1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.negative.min), expect: hexToF32(0x73800000) }, + + // No precise f32 value + { target: 0.001, expect: hexToF32(0x2f000000) }, // positive normal + { target: -0.001, expect: hexToF32(0x2f000000) }, // negative normal + { target: 1e40, expect: hexToF32(0x73800000) }, // positive out of range + { target: -1e40, expect: hexToF32(0x73800000) }, // negative out of range + ]) + .fn(t => { + const target = t.params.target; + const got = oneULP(target, 'no-flush'); + const expect = t.params.expect; + t.expect( + got === expect || (Number.isNaN(got) && Number.isNaN(expect)), + `oneULPImpl(${target}, false) returned ${got}. Expected ${expect}` + ); + }); + +g.test('oneULP') + .paramsSimple<OneULPCase>([ + // Edge Cases + { target: Number.NaN, expect: Number.NaN }, + { target: Number.NEGATIVE_INFINITY, expect: hexToF32(0x73800000) }, + { target: Number.POSITIVE_INFINITY, expect: hexToF32(0x73800000) }, + + // Zeroes + { target: +0, expect: hexToF32(0x00800000) }, + { target: -0, expect: hexToF32(0x00800000) }, + + // Subnormals + { target: hexToF32(kBit.f32.subnormal.negative.max), expect: hexToF32(0x00800000) }, + { target: -2.82e-40, expect: hexToF32(0x00800000) }, + { target: hexToF32(kBit.f32.subnormal.negative.min), expect: hexToF32(0x00800000) }, + { target: hexToF32(kBit.f32.subnormal.positive.max), expect: hexToF32(0x00800000) }, + { target: 2.82e-40, expect: hexToF32(0x00800000) }, + { target: hexToF32(kBit.f32.subnormal.positive.min), expect: hexToF32(0x00800000) }, + + // Normals + { target: hexToF32(kBit.f32.positive.min), expect: hexToF32(0x00000001) }, + { target: 1, expect: hexToF32(0x33800000) }, + { target: 2, expect: hexToF32(0x34000000) }, + { target: 4, expect: hexToF32(0x34800000) }, + { target: 1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.positive.max), expect: hexToF32(0x73800000) }, + { target: hexToF32(kBit.f32.negative.max), expect: hexToF32(0x000000001) }, + { target: -1, expect: hexToF32(0x33800000) }, + { target: -2, expect: hexToF32(0x34000000) }, + { target: -4, expect: hexToF32(0x34800000) }, + { target: -1000000, expect: hexToF32(0x3d800000) }, + { target: hexToF32(kBit.f32.negative.min), expect: hexToF32(0x73800000) }, + + // No precise f32 value + { target: -0.001, expect: hexToF32(0x2f000000) }, // negative normal + { target: -1e40, expect: hexToF32(0x73800000) }, // negative out of range + { target: 0.001, expect: hexToF32(0x2f000000) }, // positive normal + { target: 1e40, expect: hexToF32(0x73800000) }, // positive out of range + ]) + .fn(t => { + const target = t.params.target; + const got = oneULP(target); + const expect = t.params.expect; + t.expect( + got === expect || (Number.isNaN(got) && Number.isNaN(expect)), + `oneULP(${target}) returned ${got}. Expected ${expect}` + ); + }); + +interface correctlyRoundedF32Case { + value: number; + expected: Array<number>; +} + +g.test('correctlyRoundedF32') + .paramsSubcasesOnly<correctlyRoundedF32Case>( + // prettier-ignore + [ + // Edge Cases + { value: kValue.f32.infinity.positive, expected: [kValue.f32.positive.max, Number.POSITIVE_INFINITY] }, + { value: kValue.f32.infinity.negative, expected: [Number.NEGATIVE_INFINITY, kValue.f32.negative.min] }, + { value: kValue.f32.positive.max, expected: [kValue.f32.positive.max] }, + { value: kValue.f32.negative.min, expected: [kValue.f32.negative.min] }, + + // 32-bit subnormals + { value: kValue.f32.subnormal.positive.min, expected: [kValue.f32.subnormal.positive.min] }, + { value: kValue.f32.subnormal.positive.max, expected: [kValue.f32.subnormal.positive.max] }, + { value: kValue.f32.subnormal.negative.min, expected: [kValue.f32.subnormal.negative.min] }, + { value: kValue.f32.subnormal.negative.max, expected: [kValue.f32.subnormal.negative.max] }, + + // 64-bit subnormals + { value: hexToF64(0x00000000, 0x00000001), expected: [0, kValue.f32.subnormal.positive.min] }, + { value: hexToF64(0x00000000, 0x00000002), expected: [0, kValue.f32.subnormal.positive.min] }, + { value: hexToF64(0x800fffff, 0xffffffff), expected: [kValue.f32.subnormal.negative.max, 0] }, + { value: hexToF64(0x800fffff, 0xfffffffe), expected: [kValue.f32.subnormal.negative.max, 0] }, + + // 32-bit normals + { value: 0, expected: [0] }, + { value: kValue.f32.positive.min, expected: [kValue.f32.positive.min] }, + { value: kValue.f32.negative.max, expected: [kValue.f32.negative.max] }, + { value: hexToF32(0x03800000), expected: [hexToF32(0x03800000)] }, + { value: hexToF32(0x03800001), expected: [hexToF32(0x03800001)] }, + { value: hexToF32(0x83800000), expected: [hexToF32(0x83800000)] }, + { value: hexToF32(0x83800001), expected: [hexToF32(0x83800001)] }, + + // 64-bit normals + { value: hexToF64(0x3ff00000, 0x00000001), expected: [hexToF32(0x3f800000), hexToF32(0x3f800001)] }, + { value: hexToF64(0x3ff00000, 0x00000002), expected: [hexToF32(0x3f800000), hexToF32(0x3f800001)] }, + { value: hexToF64(0x3ff00010, 0x00000010), expected: [hexToF32(0x3f800080), hexToF32(0x3f800081)] }, + { value: hexToF64(0x3ff00020, 0x00000020), expected: [hexToF32(0x3f800100), hexToF32(0x3f800101)] }, + { value: hexToF64(0xbff00000, 0x00000001), expected: [hexToF32(0xbf800001), hexToF32(0xbf800000)] }, + { value: hexToF64(0xbff00000, 0x00000002), expected: [hexToF32(0xbf800001), hexToF32(0xbf800000)] }, + { value: hexToF64(0xbff00010, 0x00000010), expected: [hexToF32(0xbf800081), hexToF32(0xbf800080)] }, + { value: hexToF64(0xbff00020, 0x00000020), expected: [hexToF32(0xbf800101), hexToF32(0xbf800100)] }, + ] + ) + .fn(t => { + const value = t.params.value; + const expected = t.params.expected; + + const got = correctlyRoundedF32(value); + t.expect( + objectEquals(expected, got), + `correctlyRoundedF32(${value}) returned [${got}]. Expected [${expected}]` + ); + }); + +interface lerpCase { + a: number; + b: number; + t: number; + result: number; +} + +g.test('lerp') + .paramsSimple<lerpCase>([ + // Infinite cases + { a: 0.0, b: Number.POSITIVE_INFINITY, t: 0.5, result: Number.NaN }, + { a: Number.POSITIVE_INFINITY, b: 0.0, t: 0.5, result: Number.NaN }, + { a: Number.NEGATIVE_INFINITY, b: 1.0, t: 0.5, result: Number.NaN }, + { a: 1.0, b: Number.NEGATIVE_INFINITY, t: 0.5, result: Number.NaN }, + { a: Number.NEGATIVE_INFINITY, b: Number.POSITIVE_INFINITY, t: 0.5, result: Number.NaN }, + { a: Number.POSITIVE_INFINITY, b: Number.NEGATIVE_INFINITY, t: 0.5, result: Number.NaN }, + { a: 0.0, b: 1.0, t: Number.NEGATIVE_INFINITY, result: Number.NaN }, + { a: 1.0, b: 0.0, t: Number.NEGATIVE_INFINITY, result: Number.NaN }, + { a: 0.0, b: 1.0, t: Number.POSITIVE_INFINITY, result: Number.NaN }, + { a: 1.0, b: 0.0, t: Number.POSITIVE_INFINITY, result: Number.NaN }, + + // [0.0, 1.0] cases + { a: 0.0, b: 1.0, t: -1.0, result: -1.0 }, + { a: 0.0, b: 1.0, t: 0.0, result: 0.0 }, + { a: 0.0, b: 1.0, t: 0.1, result: 0.1 }, + { a: 0.0, b: 1.0, t: 0.01, result: 0.01 }, + { a: 0.0, b: 1.0, t: 0.001, result: 0.001 }, + { a: 0.0, b: 1.0, t: 0.25, result: 0.25 }, + { a: 0.0, b: 1.0, t: 0.5, result: 0.5 }, + { a: 0.0, b: 1.0, t: 0.9, result: 0.9 }, + { a: 0.0, b: 1.0, t: 0.99, result: 0.99 }, + { a: 0.0, b: 1.0, t: 0.999, result: 0.999 }, + { a: 0.0, b: 1.0, t: 1.0, result: 1.0 }, + { a: 0.0, b: 1.0, t: 2.0, result: 2.0 }, + + // [1.0, 0.0] cases + { a: 1.0, b: 0.0, t: -1.0, result: 2.0 }, + { a: 1.0, b: 0.0, t: 0.0, result: 1.0 }, + { a: 1.0, b: 0.0, t: 0.1, result: 0.9 }, + { a: 1.0, b: 0.0, t: 0.01, result: 0.99 }, + { a: 1.0, b: 0.0, t: 0.001, result: 0.999 }, + { a: 1.0, b: 0.0, t: 0.25, result: 0.75 }, + { a: 1.0, b: 0.0, t: 0.5, result: 0.5 }, + { a: 1.0, b: 0.0, t: 0.9, result: 0.1 }, + { a: 1.0, b: 0.0, t: 0.99, result: 0.01 }, + { a: 1.0, b: 0.0, t: 0.999, result: 0.001 }, + { a: 1.0, b: 0.0, t: 1.0, result: 0.0 }, + { a: 1.0, b: 0.0, t: 2.0, result: -1.0 }, + + // [0.0, 10.0] cases + { a: 0.0, b: 10.0, t: -1.0, result: -10.0 }, + { a: 0.0, b: 10.0, t: 0.0, result: 0.0 }, + { a: 0.0, b: 10.0, t: 0.1, result: 1.0 }, + { a: 0.0, b: 10.0, t: 0.01, result: 0.1 }, + { a: 0.0, b: 10.0, t: 0.001, result: 0.01 }, + { a: 0.0, b: 10.0, t: 0.25, result: 2.5 }, + { a: 0.0, b: 10.0, t: 0.5, result: 5.0 }, + { a: 0.0, b: 10.0, t: 0.9, result: 9.0 }, + { a: 0.0, b: 10.0, t: 0.99, result: 9.9 }, + { a: 0.0, b: 10.0, t: 0.999, result: 9.99 }, + { a: 0.0, b: 10.0, t: 1.0, result: 10.0 }, + { a: 0.0, b: 10.0, t: 2.0, result: 20.0 }, + + // [10.0, 0.0] cases + { a: 10.0, b: 0.0, t: -1.0, result: 20.0 }, + { a: 10.0, b: 0.0, t: 0.0, result: 10.0 }, + { a: 10.0, b: 0.0, t: 0.1, result: 9 }, + { a: 10.0, b: 0.0, t: 0.01, result: 9.9 }, + { a: 10.0, b: 0.0, t: 0.001, result: 9.99 }, + { a: 10.0, b: 0.0, t: 0.25, result: 7.5 }, + { a: 10.0, b: 0.0, t: 0.5, result: 5.0 }, + { a: 10.0, b: 0.0, t: 0.9, result: 1.0 }, + { a: 10.0, b: 0.0, t: 0.99, result: 0.1 }, + { a: 10.0, b: 0.0, t: 0.999, result: 0.01 }, + { a: 10.0, b: 0.0, t: 1.0, result: 0.0 }, + { a: 10.0, b: 0.0, t: 2.0, result: -10.0 }, + + // [2.0, 10.0] cases + { a: 2.0, b: 10.0, t: -1.0, result: -6.0 }, + { a: 2.0, b: 10.0, t: 0.0, result: 2.0 }, + { a: 2.0, b: 10.0, t: 0.1, result: 2.8 }, + { a: 2.0, b: 10.0, t: 0.01, result: 2.08 }, + { a: 2.0, b: 10.0, t: 0.001, result: 2.008 }, + { a: 2.0, b: 10.0, t: 0.25, result: 4.0 }, + { a: 2.0, b: 10.0, t: 0.5, result: 6.0 }, + { a: 2.0, b: 10.0, t: 0.9, result: 9.2 }, + { a: 2.0, b: 10.0, t: 0.99, result: 9.92 }, + { a: 2.0, b: 10.0, t: 0.999, result: 9.992 }, + { a: 2.0, b: 10.0, t: 1.0, result: 10.0 }, + { a: 2.0, b: 10.0, t: 2.0, result: 18.0 }, + + // [10.0, 2.0] cases + { a: 10.0, b: 2.0, t: -1.0, result: 18.0 }, + { a: 10.0, b: 2.0, t: 0.0, result: 10.0 }, + { a: 10.0, b: 2.0, t: 0.1, result: 9.2 }, + { a: 10.0, b: 2.0, t: 0.01, result: 9.92 }, + { a: 10.0, b: 2.0, t: 0.001, result: 9.992 }, + { a: 10.0, b: 2.0, t: 0.25, result: 8.0 }, + { a: 10.0, b: 2.0, t: 0.5, result: 6.0 }, + { a: 10.0, b: 2.0, t: 0.9, result: 2.8 }, + { a: 10.0, b: 2.0, t: 0.99, result: 2.08 }, + { a: 10.0, b: 2.0, t: 0.999, result: 2.008 }, + { a: 10.0, b: 2.0, t: 1.0, result: 2.0 }, + { a: 10.0, b: 2.0, t: 2.0, result: -6.0 }, + + // [-1.0, 1.0] cases + { a: -1.0, b: 1.0, t: -2.0, result: -5.0 }, + { a: -1.0, b: 1.0, t: 0.0, result: -1.0 }, + { a: -1.0, b: 1.0, t: 0.1, result: -0.8 }, + { a: -1.0, b: 1.0, t: 0.01, result: -0.98 }, + { a: -1.0, b: 1.0, t: 0.001, result: -0.998 }, + { a: -1.0, b: 1.0, t: 0.25, result: -0.5 }, + { a: -1.0, b: 1.0, t: 0.5, result: 0.0 }, + { a: -1.0, b: 1.0, t: 0.9, result: 0.8 }, + { a: -1.0, b: 1.0, t: 0.99, result: 0.98 }, + { a: -1.0, b: 1.0, t: 0.999, result: 0.998 }, + { a: -1.0, b: 1.0, t: 1.0, result: 1.0 }, + { a: -1.0, b: 1.0, t: 2.0, result: 3.0 }, + + // [1.0, -1.0] cases + { a: 1.0, b: -1.0, t: -2.0, result: 5.0 }, + { a: 1.0, b: -1.0, t: 0.0, result: 1.0 }, + { a: 1.0, b: -1.0, t: 0.1, result: 0.8 }, + { a: 1.0, b: -1.0, t: 0.01, result: 0.98 }, + { a: 1.0, b: -1.0, t: 0.001, result: 0.998 }, + { a: 1.0, b: -1.0, t: 0.25, result: 0.5 }, + { a: 1.0, b: -1.0, t: 0.5, result: 0.0 }, + { a: 1.0, b: -1.0, t: 0.9, result: -0.8 }, + { a: 1.0, b: -1.0, t: 0.99, result: -0.98 }, + { a: 1.0, b: -1.0, t: 0.999, result: -0.998 }, + { a: 1.0, b: -1.0, t: 1.0, result: -1.0 }, + { a: 1.0, b: -1.0, t: 2.0, result: -3.0 }, + + // [-1.0, 0.0] cases + { a: -1.0, b: 0.0, t: -1.0, result: -2.0 }, + { a: -1.0, b: 0.0, t: 0.0, result: -1.0 }, + { a: -1.0, b: 0.0, t: 0.1, result: -0.9 }, + { a: -1.0, b: 0.0, t: 0.01, result: -0.99 }, + { a: -1.0, b: 0.0, t: 0.001, result: -0.999 }, + { a: -1.0, b: 0.0, t: 0.25, result: -0.75 }, + { a: -1.0, b: 0.0, t: 0.5, result: -0.5 }, + { a: -1.0, b: 0.0, t: 0.9, result: -0.1 }, + { a: -1.0, b: 0.0, t: 0.99, result: -0.01 }, + { a: -1.0, b: 0.0, t: 0.999, result: -0.001 }, + { a: -1.0, b: 0.0, t: 1.0, result: 0.0 }, + { a: -1.0, b: 0.0, t: 2.0, result: 1.0 }, + + // [0.0, -1.0] cases + { a: 0.0, b: -1.0, t: -1.0, result: 1.0 }, + { a: 0.0, b: -1.0, t: 0.0, result: 0.0 }, + { a: 0.0, b: -1.0, t: 0.1, result: -0.1 }, + { a: 0.0, b: -1.0, t: 0.01, result: -0.01 }, + { a: 0.0, b: -1.0, t: 0.001, result: -0.001 }, + { a: 0.0, b: -1.0, t: 0.25, result: -0.25 }, + { a: 0.0, b: -1.0, t: 0.5, result: -0.5 }, + { a: 0.0, b: -1.0, t: 0.9, result: -0.9 }, + { a: 0.0, b: -1.0, t: 0.99, result: -0.99 }, + { a: 0.0, b: -1.0, t: 0.999, result: -0.999 }, + { a: 0.0, b: -1.0, t: 1.0, result: -1.0 }, + { a: 0.0, b: -1.0, t: 2.0, result: -2.0 }, + ]) + .fn(test => { + const a = test.params.a; + const b = test.params.b; + const t = test.params.t; + const got = lerp(a, b, t); + const expect = test.params.result; + + test.expect( + (Number.isNaN(got) && Number.isNaN(expect)) || withinOneULP(got, expect, 'flush'), + `lerp(${a}, ${b}, ${t}) returned ${got}. Expected ${expect}` + ); + }); + +interface rangeCase { + a: number; + b: number; + num_steps: number; + result: Array<number>; +} + +g.test('linearRange') + .paramsSimple<rangeCase>( + // prettier-ignore + [ + { a: 0.0, b: Number.POSITIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.POSITIVE_INFINITY, b: 0.0, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.NEGATIVE_INFINITY, b: 1.0, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: 1.0, b: Number.NEGATIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.NEGATIVE_INFINITY, b: Number.POSITIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.POSITIVE_INFINITY, b: Number.NEGATIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: 0.0, b: 0.0, num_steps: 10, result: new Array<number>(10).fill(0.0) }, + { a: 10.0, b: 10.0, num_steps: 10, result: new Array<number>(10).fill(10.0) }, + { a: 0.0, b: 10.0, num_steps: 1, result: [0.0] }, + { a: 10.0, b: 0.0, num_steps: 1, result: [10] }, + { a: 0.0, b: 10.0, num_steps: 11, result: [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0] }, + { a: 10.0, b: 0.0, num_steps: 11, result: [10.0, 9.0, 8.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0, 0.0] }, + { a: 0.0, b: 1000.0, num_steps: 11, result: [0.0, 100.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0] }, + { a: 1000.0, b: 0.0, num_steps: 11, result: [1000.0, 900.0, 800.0, 700.0, 600.0, 500.0, 400.0, 300.0, 200.0, 100.0, 0.0] }, + { a: 1.0, b: 5.0, num_steps: 5, result: [1.0, 2.0, 3.0, 4.0, 5.0] }, + { a: 5.0, b: 1.0, num_steps: 5, result: [5.0, 4.0, 3.0, 2.0, 1.0] }, + { a: 0.0, b: 1.0, num_steps: 11, result: [0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0] }, + { a: 1.0, b: 0.0, num_steps: 11, result: [1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.0] }, + { a: 0.0, b: 1.0, num_steps: 5, result: [0.0, 0.25, 0.5, 0.75, 1.0] }, + { a: 1.0, b: 0.0, num_steps: 5, result: [1.0, 0.75, 0.5, 0.25, 0.0] }, + { a: -1.0, b: 1.0, num_steps: 11, result: [-1.0, -0.8, -0.6, -0.4, -0.2, 0.0, 0.2, 0.4, 0.6, 0.8, 1.0] }, + { a: 1.0, b: -1.0, num_steps: 11, result: [1.0, 0.8, 0.6, 0.4, 0.2, 0.0, -0.2, -0.4, -0.6, -0.8, -1.0] }, + { a: -1.0, b: 0, num_steps: 11, result: [-1.0, -0.9, -0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0.0] }, + { a: 0.0, b: -1.0, num_steps: 11, result: [0.0, -0.1, -0.2, -0.3, -0.4, -0.5, -0.6, -0.7, -0.8, -0.9, -1.0] }, + ] + ) + .fn(test => { + const a = test.params.a; + const b = test.params.b; + const num_steps = test.params.num_steps; + const got = linearRange(a, b, num_steps); + const expect = test.params.result; + + test.expect( + compareArrayOfNumbers(got, expect, 'no-flush'), + `linearRange(${a}, ${b}, ${num_steps}) returned ${got}. Expected ${expect}` + ); + }); + +g.test('biasedRange') + .paramsSimple<rangeCase>( + // prettier-ignore + [ + { a: 0.0, b: Number.POSITIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.POSITIVE_INFINITY, b: 0.0, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.NEGATIVE_INFINITY, b: 1.0, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: 1.0, b: Number.NEGATIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.NEGATIVE_INFINITY, b: Number.POSITIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: Number.POSITIVE_INFINITY, b: Number.NEGATIVE_INFINITY, num_steps: 10, result: new Array<number>(10).fill(Number.NaN) }, + { a: 0.0, b: 0.0, num_steps: 10, result: new Array<number>(10).fill(0.0) }, + { a: 10.0, b: 10.0, num_steps: 10, result: new Array<number>(10).fill(10.0) }, + { a: 0.0, b: 10.0, num_steps: 1, result: [0.0] }, + { a: 10.0, b: 0.0, num_steps: 1, result: [10.0] }, + { a: 0.0, b: 10.0, num_steps: 11, result: [0.0, 0.1, 0.4, 0.9, 1.6, 2.5, 3.6, 4.9, 6.4, 8.1, 10.0] }, + { a: 10.0, b: 0.0, num_steps: 11, result: [10.0, 9.9, 9.6, 9.1, 8.4, 7.5, 6.4, 5.1, 3.6, 1.9, 0.0] }, + { a: 0.0, b: 1000.0, num_steps: 11, result: [0.0, 10.0, 40.0, 90.0, 160.0, 250.0, 360.0, 490.0, 640.0, 810.0, 1000.0] }, + { a: 1000.0, b: 0.0, num_steps: 11, result: [1000.0, 990.0, 960.0, 910.0, 840.0, 750.0, 640.0, 510.0, 360.0, 190.0, 0.0] }, + { a: 1.0, b: 5.0, num_steps: 5, result: [1.0, 1.25, 2.0, 3.25, 5.0] }, + { a: 5.0, b: 1.0, num_steps: 5, result: [5.0, 4.75, 4.0, 2.75, 1.0] }, + { a: 0.0, b: 1.0, num_steps: 11, result: [0.0, 0.01, 0.04, 0.09, 0.16, 0.25, 0.36, 0.49, 0.64, 0.81, 1.0] }, + { a: 1.0, b: 0.0, num_steps: 11, result: [1.0, 0.99, 0.96, 0.91, 0.84, 0.75, 0.64, 0.51, 0.36, 0.19, 0.0] }, + { a: 0.0, b: 1.0, num_steps: 5, result: [0.0, 0.0625, 0.25, 0.5625, 1.0] }, + { a: 1.0, b: 0.0, num_steps: 5, result: [1.0, 0.9375, 0.75, 0.4375, 0.0] }, + { a: -1.0, b: 1.0, num_steps: 11, result: [-1.0, -0.98, -0.92, -0.82, -0.68, -0.5, -0.28 ,-0.02, 0.28, 0.62, 1.0] }, + { a: 1.0, b: -1.0, num_steps: 11, result: [1.0, 0.98, 0.92, 0.82, 0.68, 0.5, 0.28 ,0.02, -0.28, -0.62, -1.0] }, + { a: -1.0, b: 0, num_steps: 11, result: [-1.0 , -0.99, -0.96, -0.91, -0.84, -0.75, -0.64, -0.51, -0.36, -0.19, 0.0] }, + { a: 0.0, b: -1.0, num_steps: 11, result: [0.0, -0.01, -0.04, -0.09, -0.16, -0.25, -0.36, -0.49, -0.64, -0.81, -1.0] }, + ] + ) + .fn(test => { + const a = test.params.a; + const b = test.params.b; + const num_steps = test.params.num_steps; + const got = biasedRange(a, b, num_steps); + const expect = test.params.result; + + test.expect( + compareArrayOfNumbers(got, expect, 'no-flush'), + `biasedRange(${a}, ${b}, ${num_steps}) returned ${got}. Expected ${expect}` + ); + }); + +interface fullF32RangeCase { + neg_norm: number; + neg_sub: number; + pos_sub: number; + pos_norm: number; + expect: Array<number>; +} + +g.test('fullF32Range') + .paramsSimple<fullF32RangeCase>( + // prettier-ignore + [ + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ 0.0 ] }, + { neg_norm: 1, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f32.negative.min, 0.0] }, + { neg_norm: 2, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f32.negative.min, kValue.f32.negative.max, 0.0 ] }, + { neg_norm: 3, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f32.negative.min, -1.9999998807907104, kValue.f32.negative.max, 0.0 ] }, + { neg_norm: 0, neg_sub: 1, pos_sub: 0, pos_norm: 0, expect: [ kValue.f32.subnormal.negative.min, 0.0 ] }, + { neg_norm: 0, neg_sub: 2, pos_sub: 0, pos_norm: 0, expect: [ kValue.f32.subnormal.negative.min, kValue.f32.subnormal.negative.max, 0.0 ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 1, pos_norm: 0, expect: [ 0.0, kValue.f32.subnormal.positive.min ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 2, pos_norm: 0, expect: [ 0.0, kValue.f32.subnormal.positive.min, kValue.f32.subnormal.positive.max ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 1, expect: [ 0.0, kValue.f32.positive.min ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 2, expect: [ 0.0, kValue.f32.positive.min, kValue.f32.positive.max ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 3, expect: [ 0.0, kValue.f32.positive.min, 1.9999998807907104, kValue.f32.positive.max ] }, + { neg_norm: 1, neg_sub: 1, pos_sub: 1, pos_norm: 1, expect: [ kValue.f32.negative.min, kValue.f32.subnormal.negative.min, 0.0, kValue.f32.subnormal.positive.min, kValue.f32.positive.min ] }, + { neg_norm: 2, neg_sub: 2, pos_sub: 2, pos_norm: 2, expect: [ kValue.f32.negative.min, kValue.f32.negative.max, kValue.f32.subnormal.negative.min, kValue.f32.subnormal.negative.max, 0.0, kValue.f32.subnormal.positive.min, kValue.f32.subnormal.positive.max, kValue.f32.positive.min, kValue.f32.positive.max ] }, + ] + ) + .fn(test => { + const neg_norm = test.params.neg_norm; + const neg_sub = test.params.neg_sub; + const pos_sub = test.params.pos_sub; + const pos_norm = test.params.pos_norm; + const got = fullF32Range({ neg_norm, neg_sub, pos_sub, pos_norm }); + const expect = test.params.expect; + + test.expect( + compareArrayOfNumbers(got, expect, 'no-flush'), + `fullF32Range(${neg_norm}, ${neg_sub}, ${pos_sub}, ${pos_norm}) returned [${got}]. Expected [${expect}]` + ); + }); + +interface fullF16RangeCase { + neg_norm: number; + neg_sub: number; + pos_sub: number; + pos_norm: number; + expect: Array<number>; +} + +g.test('fullF16Range') + .paramsSimple<fullF16RangeCase>( + // prettier-ignore + [ + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ 0.0 ] }, + { neg_norm: 1, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f16.negative.min, 0.0] }, + { neg_norm: 2, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f16.negative.min, kValue.f16.negative.max, 0.0 ] }, + { neg_norm: 3, neg_sub: 0, pos_sub: 0, pos_norm: 0, expect: [ kValue.f16.negative.min, -1.9990234375, kValue.f16.negative.max, 0.0 ] }, + { neg_norm: 0, neg_sub: 1, pos_sub: 0, pos_norm: 0, expect: [ kValue.f16.subnormal.negative.min, 0.0 ] }, + { neg_norm: 0, neg_sub: 2, pos_sub: 0, pos_norm: 0, expect: [ kValue.f16.subnormal.negative.min, kValue.f16.subnormal.negative.max, 0.0 ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 1, pos_norm: 0, expect: [ 0.0, kValue.f16.subnormal.positive.min ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 2, pos_norm: 0, expect: [ 0.0, kValue.f16.subnormal.positive.min, kValue.f16.subnormal.positive.max ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 1, expect: [ 0.0, kValue.f16.positive.min ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 2, expect: [ 0.0, kValue.f16.positive.min, kValue.f16.positive.max ] }, + { neg_norm: 0, neg_sub: 0, pos_sub: 0, pos_norm: 3, expect: [ 0.0, kValue.f16.positive.min, 1.9990234375, kValue.f16.positive.max ] }, + { neg_norm: 1, neg_sub: 1, pos_sub: 1, pos_norm: 1, expect: [ kValue.f16.negative.min, kValue.f16.subnormal.negative.min, 0.0, kValue.f16.subnormal.positive.min, kValue.f16.positive.min ] }, + { neg_norm: 2, neg_sub: 2, pos_sub: 2, pos_norm: 2, expect: [ kValue.f16.negative.min, kValue.f16.negative.max, kValue.f16.subnormal.negative.min, kValue.f16.subnormal.negative.max, 0.0, kValue.f16.subnormal.positive.min, kValue.f16.subnormal.positive.max, kValue.f16.positive.min, kValue.f16.positive.max ] }, + ] + ) + .fn(test => { + const neg_norm = test.params.neg_norm; + const neg_sub = test.params.neg_sub; + const pos_sub = test.params.pos_sub; + const pos_norm = test.params.pos_norm; + const got = fullF16Range({ neg_norm, neg_sub, pos_sub, pos_norm }); + const expect = test.params.expect; + + test.expect( + compareArrayOfNumbers(got, expect), + `fullF16Range(${neg_norm}, ${neg_sub}, ${pos_sub}, ${pos_norm}) returned [${got}]. Expected [${expect}]` + ); + }); + +interface fullI32RangeCase { + neg_count: number; + pos_count: number; + expect: Array<number>; +} + +g.test('fullI32Range') + .paramsSimple<fullI32RangeCase>( + // prettier-ignore + [ + { neg_count: 0, pos_count: 0, expect: [0] }, + { neg_count: 1, pos_count: 0, expect: [kValue.i32.negative.min, 0] }, + { neg_count: 2, pos_count: 0, expect: [kValue.i32.negative.min, -1, 0] }, + { neg_count: 3, pos_count: 0, expect: [kValue.i32.negative.min, -1610612736, -1, 0] }, + { neg_count: 0, pos_count: 1, expect: [0, 1] }, + { neg_count: 0, pos_count: 2, expect: [0, 1, kValue.i32.positive.max] }, + { neg_count: 0, pos_count: 3, expect: [0, 1, 536870912, kValue.i32.positive.max] }, + { neg_count: 1, pos_count: 1, expect: [kValue.i32.negative.min, 0, 1] }, + { neg_count: 2, pos_count: 2, expect: [kValue.i32.negative.min, -1, 0, 1, kValue.i32.positive.max ] }, + ] + ) + .fn(test => { + const neg_count = test.params.neg_count; + const pos_count = test.params.pos_count; + const got = fullI32Range({ negative: neg_count, positive: pos_count }); + const expect = test.params.expect; + + test.expect( + compareArrayOfNumbers(got, expect), + `fullI32Range(${neg_count}, ${pos_count}) returned [${got}]. Expected [${expect}]` + ); + }); + +interface limitsCase { + bits: number; + value: number; +} + +// Test to confirm kBit and kValue constants are equivalent for f32 +g.test('f32LimitsEquivalency') + .paramsSimple<limitsCase>([ + { bits: kBit.f32.positive.max, value: kValue.f32.positive.max }, + { bits: kBit.f32.positive.min, value: kValue.f32.positive.min }, + { bits: kBit.f32.positive.nearest_max, value: kValue.f32.positive.nearest_max }, + { bits: kBit.f32.positive.less_than_one, value: kValue.f32.positive.less_than_one }, + { bits: kBit.f32.positive.pi.whole, value: kValue.f32.positive.pi.whole }, + { bits: kBit.f32.positive.pi.three_quarters, value: kValue.f32.positive.pi.three_quarters }, + { bits: kBit.f32.positive.pi.half, value: kValue.f32.positive.pi.half }, + { bits: kBit.f32.positive.pi.third, value: kValue.f32.positive.pi.third }, + { bits: kBit.f32.positive.pi.quarter, value: kValue.f32.positive.pi.quarter }, + { bits: kBit.f32.positive.pi.sixth, value: kValue.f32.positive.pi.sixth }, + { bits: kBit.f32.positive.e, value: kValue.f32.positive.e }, + { bits: kBit.f32.negative.max, value: kValue.f32.negative.max }, + { bits: kBit.f32.negative.min, value: kValue.f32.negative.min }, + { bits: kBit.f32.negative.nearest_min, value: kValue.f32.negative.nearest_min }, + { bits: kBit.f32.negative.pi.whole, value: kValue.f32.negative.pi.whole }, + { bits: kBit.f32.negative.pi.three_quarters, value: kValue.f32.negative.pi.three_quarters }, + { bits: kBit.f32.negative.pi.half, value: kValue.f32.negative.pi.half }, + { bits: kBit.f32.negative.pi.third, value: kValue.f32.negative.pi.third }, + { bits: kBit.f32.negative.pi.quarter, value: kValue.f32.negative.pi.quarter }, + { bits: kBit.f32.negative.pi.sixth, value: kValue.f32.negative.pi.sixth }, + { bits: kBit.f32.subnormal.positive.max, value: kValue.f32.subnormal.positive.max }, + { bits: kBit.f32.subnormal.positive.min, value: kValue.f32.subnormal.positive.min }, + { bits: kBit.f32.subnormal.negative.max, value: kValue.f32.subnormal.negative.max }, + { bits: kBit.f32.subnormal.negative.min, value: kValue.f32.subnormal.negative.min }, + { bits: kBit.f32.infinity.positive, value: kValue.f32.infinity.positive }, + { bits: kBit.f32.infinity.negative, value: kValue.f32.infinity.negative }, + ]) + .fn(test => { + const bits = test.params.bits; + const value = test.params.value; + + const val_to_bits = bits === float32ToUint32(value); + const bits_to_val = value === uint32ToFloat32(bits); + test.expect( + val_to_bits && bits_to_val, + `bits = ${bits}, value = ${value}, returned val_to_bits as ${val_to_bits}, and bits_to_val as ${bits_to_val}, they are expected to be equivalent` + ); + }); + +// Test to confirm kBit and kValue constants are equivalent for f16 +g.test('f16LimitsEquivalency') + .paramsSimple<limitsCase>([ + { bits: kBit.f16.positive.max, value: kValue.f16.positive.max }, + { bits: kBit.f16.positive.min, value: kValue.f16.positive.min }, + { bits: kBit.f16.negative.max, value: kValue.f16.negative.max }, + { bits: kBit.f16.negative.min, value: kValue.f16.negative.min }, + { bits: kBit.f16.subnormal.positive.max, value: kValue.f16.subnormal.positive.max }, + { bits: kBit.f16.subnormal.positive.min, value: kValue.f16.subnormal.positive.min }, + { bits: kBit.f16.subnormal.negative.max, value: kValue.f16.subnormal.negative.max }, + { bits: kBit.f16.subnormal.negative.min, value: kValue.f16.subnormal.negative.min }, + { bits: kBit.f16.infinity.positive, value: kValue.f16.infinity.positive }, + { bits: kBit.f16.infinity.negative, value: kValue.f16.infinity.negative }, + ]) + .fn(test => { + const bits = test.params.bits; + const value = test.params.value; + + const val_to_bits = bits === float16ToUint16(value); + const bits_to_val = value === uint16ToFloat16(bits); + test.expect( + val_to_bits && bits_to_val, + `bits = ${bits}, value = ${value}, returned val_to_bits as ${val_to_bits}, and bits_to_val as ${bits_to_val}, they are expected to be equivalent` + ); + }); + +interface cartesianProductCase<T> { + inputs: T[][]; + result: T[][]; +} + +g.test('cartesianProductNumber') + .paramsSimple<cartesianProductCase<number>>( + // prettier-ignore + [ + { inputs: [[0], [1]], result: [[0, 1]] }, + { inputs: [[0, 1], [2]], result: [[0, 2], + [1, 2]] }, + { inputs: [[0], [1, 2]], result: [[0, 1], + [0, 2]] }, + { inputs: [[0, 1], [2, 3]], result: [[0,2], + [1, 2], + [0, 3], + [1, 3]] }, + { inputs: [[0, 1, 2], [3, 4, 5]], result: [[0, 3], + [1, 3], + [2, 3], + [0, 4], + [1, 4], + [2, 4], + [0, 5], + [1, 5], + [2, 5]] }, + { inputs: [[0, 1], [2, 3], [4, 5]], result: [[0, 2, 4], + [1, 2, 4], + [0, 3, 4], + [1, 3, 4], + [0, 2, 5], + [1, 2, 5], + [0, 3, 5], + [1, 3, 5]] }, + + ] + ) + .fn(test => { + const inputs = test.params.inputs; + const got = cartesianProduct(...inputs); + const expect = test.params.result; + + test.expect( + objectEquals(got, expect), + `cartesianProduct(${JSON.stringify(inputs)}) returned ${JSON.stringify( + got + )}. Expected ${JSON.stringify(expect)} ` + ); + }); + +g.test('cartesianProductArray') + .paramsSimple<cartesianProductCase<number[]>>( + // prettier-ignore + [ + { inputs: [[[0, 1], [2, 3]], [[4, 5], [6, 7]]], result: [[[0, 1], [4, 5]], + [[2, 3], [4, 5]], + [[0, 1], [6, 7]], + [[2, 3], [6, 7]]]}, + { inputs: [[[0, 1], [2, 3]], [[4, 5], [6, 7]], [[8, 9]]], result: [[[0, 1], [4, 5], [8, 9]], + [[2, 3], [4, 5], [8, 9]], + [[0, 1], [6, 7], [8, 9]], + [[2, 3], [6, 7], [8, 9]]]}, + { inputs: [[[0, 1, 2], [3, 4, 5], [6, 7, 8]], [[2, 1, 0], [5, 4, 3], [8, 7, 6]]], result: [[[0, 1, 2], [2, 1, 0]], + [[3, 4, 5], [2, 1, 0]], + [[6, 7, 8], [2, 1, 0]], + [[0, 1, 2], [5, 4, 3]], + [[3, 4, 5], [5, 4, 3]], + [[6, 7, 8], [5, 4, 3]], + [[0, 1, 2], [8, 7, 6]], + [[3, 4, 5], [8, 7, 6]], + [[6, 7, 8], [8, 7, 6]]]} + + ] + ) + .fn(test => { + const inputs = test.params.inputs; + const got = cartesianProduct(...inputs); + const expect = test.params.result; + + test.expect( + objectEquals(got, expect), + `cartesianProduct(${JSON.stringify(inputs)}) returned ${JSON.stringify( + got + )}. Expected ${JSON.stringify(expect)} ` + ); + }); + +interface calculatePermutationsCase<T> { + input: T[]; + result: T[][]; +} + +g.test('calculatePermutations') + .paramsSimple<calculatePermutationsCase<number>>( + // prettier-ignore + [ + { input: [0, 1], result: [[0, 1], + [1, 0]] }, + { input: [0, 1, 2], result: [[0, 1, 2], + [0, 2, 1], + [1, 0, 2], + [1, 2, 0], + [2, 0, 1], + [2, 1, 0]] }, + { input: [0, 1, 2, 3], result: [[0, 1, 2, 3], + [0, 1, 3, 2], + [0, 2, 1, 3], + [0, 2, 3, 1], + [0, 3, 1, 2], + [0, 3, 2, 1], + [1, 0, 2, 3], + [1, 0, 3, 2], + [1, 2, 0, 3], + [1, 2, 3, 0], + [1, 3, 0, 2], + [1, 3, 2, 0], + [2, 0, 1, 3], + [2, 0, 3, 1], + [2, 1, 0, 3], + [2, 1, 3, 0], + [2, 3, 0, 1], + [2, 3, 1, 0], + [3, 0, 1, 2], + [3, 0, 2, 1], + [3, 1, 0, 2], + [3, 1, 2, 0], + [3, 2, 0, 1], + [3, 2, 1, 0]] }, + ] + ) + .fn(test => { + const input = test.params.input; + const got = calculatePermutations(input); + const expect = test.params.result; + + test.expect( + objectEquals(got, expect), + `calculatePermutations(${JSON.stringify(input)}) returned ${JSON.stringify( + got + )}. Expected ${JSON.stringify(expect)} ` + ); + }); |