/** * Copyright (c) 2024 Raspberry Pi Ltd. * * SPDX-License-Identifier: BSD-3-Clause */ #include #include "pico/stdlib.h" // This test covers the single-precision functions in: // // src/pico_float/float_hazard3_single.S // // It assumes the canonical generated-NaN value and NaN sign rules used by // those functions (which are unspecified by IEEE 754). It does not cover // libgcc/libm functions from outside of that source file. typedef struct { uint32_t x; uint32_t y; uint32_t expect; } test_t; test_t add_directed_tests[] = { // 1 + 1 = 2 {0x3f800000u, 0x3f800000u, 0x40000000u}, // 2 + 1 = 3 {0x40000000u, 0x3f800000u, 0x40400000u}, // 1 + 2 = 3 {0x3f800000u, 0x40000000u, 0x40400000u}, // 1 + -1 = +0 (exact cancellation) {0x3f800000u, 0xbf800000u, 0x00000000u}, // -1 + 1 = +0 (exact cancellation) {0xbf800000u, 0x3f800000u, 0x00000000u}, // 1 + <<1 ulp = 1 {0x3f800000u, 0x2f800000u, 0x3f800000u}, // <<1 ulp + 1 = 1 {0x2f800000u, 0x3f800000u, 0x3f800000u}, // -1 + 1.25 = 0.25 {0xbf800000u, 0x3fa00000u, 0x3e800000u}, // max normal + 0.5 ulp = +inf {0x7f7fffffu, 0x73000000u, 0x7f800000u}, // max normal + max normal = +inf {0x7f7fffffu, 0x7f7fffffu, 0x7f800000u}, // min normal - 0.5 ulp = -inf {0xff7fffffu, 0xf3000000u, 0xff800000u}, // min normal + min_normal = -inf {0xff7fffffu, 0xff7fffffu, 0xff800000u}, // max normal + 0.499... ulp = max normal {0x7f7fffffu, 0x72ffffffu, 0x7f7fffffu}, // min normal - 0.499... ulp = min normal {0xff7fffffu, 0xf2ffffffu, 0xff7fffffu}, // nan + 0 = same nan {0xffff1234u, 0x00000000u, 0xffff1234u}, // 0 + nan = same nan {0x00000000u, 0xffff1234u, 0xffff1234u}, // nan + 1 = same nan {0xffff1234u, 0x3f800000u, 0xffff1234u}, // 1 + nan = same nan {0x3f800000u, 0xffff1234u, 0xffff1234u}, // nan + inf = same nan {0xffff1234u, 0x7f800000u, 0xffff1234u}, // inf + nan = same nan {0x7f800000u, 0xffff1234u, 0xffff1234u}, // inf + inf = inf {0x7f800000u, 0x7f800000u, 0x7f800000u}, // -inf + -inf = -inf {0xff800000u, 0xff800000u, 0xff800000u}, // inf + -inf = nan (all-ones is our canonical cheap nan) {0x7f800000u, 0xff800000u, 0xffffffffu}, // -inf + inf = nan {0xff800000u, 0x7f800000u, 0xffffffffu}, // subnormal + subnormal = exactly 0 {0x007fffffu, 0x007fffffu, 0x00000000u}, // -subnormal + -subnormal = exactly -0 {0x807fffffu, 0x807fffffu, 0x80000000u}, // Even + 0.5 ulp: round down {0x3f800002u, 0x33800000u, 0x3f800002u}, // Even - 0.5 ulp: round up {0x3f800002u, 0xb3800000u, 0x3f800002u}, // Odd + 0.5 ulp: round up {0x3f800001u, 0x33800000u, 0x3f800002u}, // Odd - 0.5 ulp: round down {0x3f800001u, 0xb3800000u, 0x3f800000u}, // All-zeroes significand - 0.5 ulp: no rounding (exact) {0x3f800000u, 0xb3800000u, 0x3f7fffffu}, // Very subnormal difference of normals: flushed to zero {0x03800000u, 0x837fffffu, 0x00000000u}, // Barely subnormal difference of normals: also flushed (unflushed result is 2^(emin-1)) {0x03800000u, 0x837e0000u, 0x00000000u}, }; test_t mul_directed_tests[] = { // -- directed tests -- // 1 * 1 = 1 {0x3f800000u, 0x3f800000u, 0x3f800000u}, // 1 * -1 = -1 {0x3f800000u, 0xbf800000u, 0xbf800000u}, // -1 * 1 = -1 {0xbf800000u, 0x3f800000u, 0xbf800000u}, // -1 * -1 = 1 {0xbf800000u, 0xbf800000u, 0x3f800000u}, // -0 * 0 = -0 {0x80000000u, 0x00000000u, 0x80000000u}, // 0 * -0 = - 0 {0x00000000u, 0x80000000u, 0x80000000u}, // 1 * 2 = 2 {0x3f800000u, 0x40000000u, 0x40000000u}, // 2 * 1 = 2 {0x40000000u, 0x3f800000u, 0x40000000u}, // inf * inf = inf {0x7f800000u, 0x7f800000u, 0x7f800000u}, // inf * -inf = -inf {0x7f800000u, 0xff800000u, 0xff800000u}, // inf * 0 = nan {0x7f800000u, 0x00000000u, 0xffffffffu}, // 0 * inf = nan {0x00000000u, 0x7f800000u, 0xffffffffu}, // 1 * -inf = -inf {0x3f800000u, 0xff800000u, 0xff800000u}, // -inf * 1 = -inf {0xff800000u, 0x3f800000u, 0xff800000u}, // -1 * inf = -inf {0xbf800000u, 0x7f800000u, 0xff800000u}, // inf * -1 = -inf {0x7f800000u, 0xbf800000u, 0xff800000u}, // 1 * nonzero subnormal = exactly 0 {0x3f800000u, 0x007fffffu, 0x00000000u}, // nonzero subnormal * -1 = exactly -0 {0x007fffffu, 0xbf800000u, 0x80000000u}, // nan * 0 = same nan {0xffff1234u, 0x00000000u, 0xffff1234u}, // 0 * nan = same nan {0x00000000u, 0xffff1234u, 0xffff1234u}, // nan * 1 = same nan {0xffff1234u, 0x3f800000u, 0xffff1234u}, // 1 * nan = same nan {0x3f800000u, 0xffff1234u, 0xffff1234u}, // nan * inf = same nan {0xffff1234u, 0x7f800000u, 0xffff1234u}, // inf * nan = same nan {0x7f800000u, 0xffff1234u, 0xffff1234u}, // (2 - 0.5 ulp) x (2 - 0.5 ulp) = 4 - 0.5 ulp {0x3fffffffu, 0x3fffffffu, 0x407ffffeu}, // (2 - 0.5 ulp) x (1 + 1 ulp) = 2 exactly {0xbfffffffu, 0x3f800001u, 0xc0000000u}, // 1.666... * 1.333.. = 2.222... {0x3fd55555u, 0x3faaaaaau, 0x400e38e3u}, // 1.25 x 2^-63 x 1.25 x 2^-64 = 0 // (normal inputs with subnormal output, and we claim to be FTZ) {0x20200000u, 0x1fa00000u, 0x00000000u}, // 1.333333 (rounded down) x 1.5 = 2 - 1 ulp {0x3faaaaaau, 0x3fc00000u, 0x3fffffffu}, // 1.333333 (rounded down) x (1.5 + 1 ulp) = 2 exactly {0x3faaaaaau, 0x3fc00001u, 0x40000000u}, // (1.333333 (rounded down) + 1 ulp) x 1.5 = 2 exactly {0x3faaaaabu, 0x3fc00000u, 0x40000000u}, // (1.25 - 1 ulp) x (0.8 + 1 ulp) = 1 exactly (exponent increases after rounding) {0x3f9fffffu, 0x3f4cccceu, 0x3f800000u}, // as above, but overflow on exponent increase -> +inf {0x3f9fffffu, 0x7f4cccceu, 0x7f800000u}, // subtract 1 ulp from rhs -> largest normal {0x3f9fffffu, 0x7f4ccccdu, 0x7f7fffffu}, }; #define N_RANDOM_TESTS 1000 extern test_t add_random_tests[N_RANDOM_TESTS]; extern test_t mul_random_tests[N_RANDOM_TESTS]; uint32_t __addsf3(uint32_t x, uint32_t y); uint32_t __mulsf3(uint32_t x, uint32_t y); int run_tests(test_t *tests, int n_tests, const char *op_str, uint32_t (*func)(uint32_t, uint32_t)) { int failed = 0; for (int i = 0; i < n_tests; ++i) { uint32_t actual = func(tests[i].x, tests[i].y); if (tests[i].expect != actual) { printf("%08x %s %08x -> %08x", tests[i].x, op_str, tests[i].y, tests[i].expect); printf(" FAIL: got %08x\n", actual); ++failed; } } printf("Passed: %d / %d\n", n_tests - failed, n_tests); return failed; } int main() { stdio_init_all(); int failed = 0; sleep_ms(3000); printf("Testing: __addsf3 (directed tests)\n"); failed += run_tests(add_directed_tests, count_of(add_directed_tests), "+", __addsf3); printf("Testing: __mulsf3 (directed tests)\n"); failed += run_tests(mul_directed_tests, count_of(mul_directed_tests), "*", __mulsf3); if (failed) { printf("Skipping random tests due to %d test failures\n", failed); goto done; } printf("Testing: __addsf3 (random tests)\n"); failed += run_tests(add_random_tests, N_RANDOM_TESTS, "+", __addsf3); printf("Testing: __mulsf3 (random tests)\n"); failed += run_tests(mul_random_tests, N_RANDOM_TESTS, "*", __mulsf3); printf("%d tests failed.\n", failed); if (failed == 0) { printf("Well done, you can relax now\n"); } done: while (true) {asm volatile ("wfi\n");} // keep USB stdout alive return 0; } // Generated using the FPU on my machine (Zen 4) plus FTZ on inputs/outputs // See hazard3_test_gen.c test_t add_random_tests[N_RANDOM_TESTS] = { #include "vectors/hazard3_addsf.inc" }; test_t mul_random_tests[N_RANDOM_TESTS] = { #include "vectors/hazard3_mulsf.inc" };