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Diffstat (limited to 'tinyc/tests/testfp.c')
-rw-r--r-- | tinyc/tests/testfp.c | 510 |
1 files changed, 0 insertions, 510 deletions
diff --git a/tinyc/tests/testfp.c b/tinyc/tests/testfp.c deleted file mode 100644 index 63342b422..000000000 --- a/tinyc/tests/testfp.c +++ /dev/null @@ -1,510 +0,0 @@ -/* - * Test 128-bit floating-point arithmetic on arm64: - * build with two different compilers and compare the output. - * - * Copyright (c) 2015 Edmund Grimley Evans - * - * Copying and distribution of this file, with or without modification, - * are permitted in any medium without royalty provided the copyright - * notice and this notice are preserved. This file is offered as-is, - * without any warranty. - */ - -#include <stdint.h> -#include <stdio.h> -#include <stdlib.h> -#include <string.h> - -#define check(x) ((x) ? (void)0 : check_fail(#x, __FILE__, __LINE__)) - -void check_fail(const char *assertion, const char *file, unsigned int line) -{ - printf("%s:%d: Check (%s) failed.", file, line, assertion); - exit(1); -} - -typedef struct { - unsigned long long x0, x1; -} u128_t; - -float copy_fi(uint32_t x) -{ - float f; - memcpy(&f, &x, 4); - return f; -} - -double copy_di(uint64_t x) -{ - double f; - memcpy(&f, &x, 8); - return f; -} - -long double copy_ldi(u128_t x) -{ - long double f; - memcpy(&f, &x, 16); - return f; -} - -uint32_t copy_if(float f) -{ - uint32_t x; - memcpy(&x, &f, 4); - return x; -} - -uint64_t copy_id(double f) -{ - uint64_t x; - memcpy(&x, &f, 8); - return x; -} - -u128_t copy_ild(long double f) -{ - u128_t x; - memcpy(&x, &f, 16); - return x; -} - -long double make(int sgn, int exp, uint64_t high, uint64_t low) -{ - u128_t x = { low, - (0x0000ffffffffffff & high) | - (0x7fff000000000000 & (uint64_t)exp << 48) | - (0x8000000000000000 & (uint64_t)sgn << 63) }; - return copy_ldi(x); -} - -void cmp(long double a, long double b) -{ - u128_t ax = copy_ild(a); - u128_t bx = copy_ild(b); - int eq = (a == b); - int ne = (a != b); - int lt = (a < b); - int le = (a <= b); - int gt = (a > b); - int ge = (a >= b); - - check(eq == 0 || eq == 1); - check(lt == 0 || lt == 1); - check(gt == 0 || gt == 1); - check(ne == !eq && le == (lt | eq) && ge == (gt | eq)); - check(eq + lt + gt < 2); - - printf("cmp %016llx%016llx %016llx%016llx %d %d %d\n", - ax.x1, ax.x0, bx.x1, bx.x0, lt, eq, gt); -} - -void cmps(void) -{ - int i, j; - - for (i = 0; i < 2; i++) - for (j = 0; j < 2; j++) - cmp(make(i, 0, 0, 0), make(j, 0, 0, 0)); - - for (i = 0; i < 2; i++) { - for (j = 0; j < 64; j++) { - long double f1 = make(i, 32767, (uint64_t)1 << j, 0); - long double f2 = make(i, 32767, 0, (uint64_t)1 << j); - cmp(f1, 0); - cmp(f2, 0); - cmp(0, f1); - cmp(0, f2); - } - } - - for (i = 0; i < 6; i++) - for (j = 0; j < 6; j++) - cmp(make(i & 1, i >> 1, 0, 0), - make(j & 1, j >> 1, 0, 0)); - - for (i = 0; i < 2; i++) { - for (j = 0; j < 2; j++) { - int a, b; - for (a = 0; a < 2; a++) { - for (b = 0; b < 2; b++) { - cmp(make(i, j, a, b), make(i, j, 0, 0)); - cmp(make(i, j, 0, 0), make(i, j, a, b)); - } - } - } - } -} - -void xop(const char *name, long double a, long double b, long double c) -{ - u128_t ax = copy_ild(a); - u128_t bx = copy_ild(b); - u128_t cx = copy_ild(c); - printf("%s %016llx%016llx %016llx%016llx %016llx%016llx\n", - name, ax.x1, ax.x0, bx.x1, bx.x0, cx.x1, cx.x0); -} - -void fadd(long double a, long double b) -{ - xop("add", a, b, a + b); -} - -void fsub(long double a, long double b) -{ - xop("sub", a, b, a - b); -} - -void fmul(long double a, long double b) -{ - xop("mul", a, b, a * b); -} - -void fdiv(long double a, long double b) -{ - xop("div", a, b, a / b); -} - -void nanz(void) -{ - // Check NaNs: - { - long double x[7]; - int i, j, n = 0; - x[n++] = make(0, 32000, 0x95132b76effc, 0xd79035214b4f8d53); - x[n++] = make(1, 32001, 0xbe71d7a51587, 0x30601c6815d6c3ac); - x[n++] = make(0, 32767, 0, 1); - x[n++] = make(0, 32767, (uint64_t)1 << 46, 0); - x[n++] = make(1, 32767, (uint64_t)1 << 47, 0); - x[n++] = make(1, 32767, 0x7596c7099ad5, 0xe25fed2c58f73fc9); - x[n++] = make(0, 32767, 0x835d143360f9, 0x5e315efb35630666); - check(n == sizeof(x) / sizeof(*x)); - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - fadd(x[i], x[j]); - fsub(x[i], x[j]); - fmul(x[i], x[j]); - fdiv(x[i], x[j]); - } - } - } - - // Check infinities and zeroes: - { - long double x[6]; - int i, j, n = 0; - x[n++] = make(1, 32000, 0x62acda85f700, 0x47b6c9f35edc4044); - x[n++] = make(0, 32001, 0x94b7abf55af7, 0x9f425fe354428e19); - x[n++] = make(0, 32767, 0, 0); - x[n++] = make(1, 32767, 0, 0); - x[n++] = make(0, 0, 0, 0); - x[n++] = make(1, 0, 0, 0); - check(n == sizeof(x) / sizeof(*x)); - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - fadd(x[i], x[j]); - fsub(x[i], x[j]); - fmul(x[i], x[j]); - fdiv(x[i], x[j]); - } - } - } -} - -void adds(void) -{ - // Check shifting and add/sub: - { - int i; - for (i = -130; i <= 130; i++) { - int s1 = (uint32_t)i % 3 < 1; - int s2 = (uint32_t)i % 5 < 2; - fadd(make(s1, 16384 , 0x502c065e4f71a65d, 0xd2f9bdb031f4f031), - make(s2, 16384 + i, 0xae267395a9bc1033, 0xb56b5800da1ba448)); - } - } - - // Check normalisation: - { - uint64_t a0 = 0xc6bab0a6afbef5ed; - uint64_t a1 = 0x4f84136c4a2e9b52; - int ee[] = { 0, 1, 10000 }; - int e, i; - for (e = 0; e < sizeof(ee) / sizeof(*ee); e++) { - int exp = ee[e]; - fsub(make(0, exp, a1, a0), make(0, 0, 0, 0)); - for (i = 63; i >= 0; i--) - fsub(make(0, exp, a1 | (uint64_t)1 << i >> 1, a0), - make(0, exp, a1 >> i << i, 0)); - for (i = 63; i >=0; i--) - fsub(make(0, exp, a1, a0 | (uint64_t)1 << i >> 1), - make(0, exp, a1, a0 >> i << i)); - } - } - - // Carry/overflow from rounding: - { - fadd(make(0, 114, -1, -1), make(0, 1, 0, 0)); - fadd(make(0, 32766, -1, -1), make(0, 32653, 0, 0)); - fsub(make(1, 32766, -1, -1), make(0, 32653, 0, 0)); - } -} - -void muls(void) -{ - int i, j; - - { - long double max = make(0, 32766, -1, -1); - long double min = make(0, 0, 0, 1); - fmul(max, max); - fmul(max, min); - fmul(min, min); - } - - for (i = 117; i > 0; i--) - fmul(make(0, 16268, 0x643dcea76edc, 0xe0877a598403627a), - make(i & 1, i, 0, 0)); - - fmul(make(0, 16383, -1, -3), make(0, 16383, 0, 1)); - // Round to next exponent: - fmul(make(0, 16383, -1, -2), make(0, 16383, 0, 1)); - // Round from subnormal to normal: - fmul(make(0, 1, -1, -1), make(0, 16382, 0, 0)); - - for (i = 0; i < 2; i++) - for (j = 0; j < 112; j++) - fmul(make(0, 16383, (uint64_t)1 << i, 0), - make(0, 16383, - j < 64 ? 0 : (uint64_t)1 << (j - 64), - j < 64 ? (uint64_t)1 << j : 0)); -} - -void divs(void) -{ - int i; - - { - long double max = make(0, 32766, -1, -1); - long double min = make(0, 0, 0, 1); - fdiv(max, max); - fdiv(max, min); - fdiv(min, max); - fdiv(min, min); - } - - for (i = 0; i < 64; i++) - fdiv(make(0, 16383, -1, -1), make(0, 16383, -1, -(uint64_t)1 << i)); - for (i = 0; i < 48; i++) - fdiv(make(0, 16383, -1, -1), make(0, 16383, -(uint64_t)1 << i, 0)); -} - -void cvtlsw(int32_t a) -{ - long double f = a; - u128_t x = copy_ild(f); - printf("cvtlsw %08lx %016llx%016llx\n", (long)(uint32_t)a, x.x1, x.x0); -} - -void cvtlsx(int64_t a) -{ - long double f = a; - u128_t x = copy_ild(f); - printf("cvtlsx %016llx %016llx%016llx\n", - (long long)(uint64_t)a, x.x1, x.x0); -} - -void cvtluw(uint32_t a) -{ - long double f = a; - u128_t x = copy_ild(f); - printf("cvtluw %08lx %016llx%016llx\n", (long)a, x.x1, x.x0); -} - -void cvtlux(uint64_t a) -{ - long double f = a; - u128_t x = copy_ild(f); - printf("cvtlux %016llx %016llx%016llx\n", (long long)a, x.x1, x.x0); -} - -void cvtil(long double a) -{ - u128_t x = copy_ild(a); - int32_t b1 = a; - int64_t b2 = a; - uint32_t b3 = a; - uint64_t b4 = a; - printf("cvtswl %016llx%016llx %08lx\n", - x.x1, x.x0, (long)(uint32_t)b1); - printf("cvtsxl %016llx%016llx %016llx\n", - x.x1, x.x0, (long long)(uint64_t)b2); - printf("cvtuwl %016llx%016llx %08lx\n", - x.x1, x.x0, (long)b3); - printf("cvtuxl %016llx%016llx %016llx\n", - x.x1, x.x0, (long long)b4); -} - -void cvtlf(float a) -{ - uint32_t ax = copy_if(a); - long double b = a; - u128_t bx = copy_ild(b); - printf("cvtlf %08lx %016llx%016llx\n", (long)ax, bx.x1, bx.x0); -} - -void cvtld(double a) -{ - uint64_t ax = copy_id(a); - long double b = a; - u128_t bx = copy_ild(b); - printf("cvtld %016llx %016llx%016llx\n", (long long)ax, bx.x1, bx.x0); -} - -void cvtfl(long double a) -{ - u128_t ax = copy_ild(a); - float b = a; - uint32_t bx = copy_if(b); - printf("cvtfl %016llx%016llx %08lx\n", ax.x1, ax.x0, (long)bx); -} - -void cvtdl(long double a) -{ - u128_t ax = copy_ild(a); - double b = a; - uint64_t bx = copy_id(b); - printf("cvtdl %016llx%016llx %016llx\n", ax.x1, ax.x0, (long long)bx); -} - -void cvts(void) -{ - int i, j; - - { - uint32_t x = 0xad040c5b; - cvtlsw(0); - for (i = 0; i < 31; i++) - cvtlsw(x >> (31 - i)); - for (i = 0; i < 31; i++) - cvtlsw(-(x >> (31 - i))); - cvtlsw(0x80000000); - } - { - uint64_t x = 0xb630a248cad9afd2; - cvtlsx(0); - for (i = 0; i < 63; i++) - cvtlsx(x >> (63 - i)); - for (i = 0; i < 63; i++) - cvtlsx(-(x >> (63 - i))); - cvtlsx(0x8000000000000000); - } - { - uint32_t x = 0xad040c5b; - cvtluw(0); - for (i = 0; i < 32; i++) - cvtluw(x >> (31 - i)); - } - { - uint64_t x = 0xb630a248cad9afd2; - cvtlux(0); - for (i = 0; i < 64; i++) - cvtlux(x >> (63 - i)); - } - - for (i = 0; i < 2; i++) { - cvtil(make(i, 32767, 0, 1)); - cvtil(make(i, 32767, (uint64_t)1 << 47, 0)); - cvtil(make(i, 32767, 123, 456)); - cvtil(make(i, 32767, 0, 0)); - cvtil(make(i, 16382, -1, -1)); - cvtil(make(i, 16383, -1, -1)); - cvtil(make(i, 16384, 0x7fffffffffff, -1)); - cvtil(make(i, 16384, 0x800000000000, 0)); - for (j = 0; j < 68; j++) - cvtil(make(i, 16381 + j, 0xd4822c0a10ec, 0x1fe2f8b2669f5c9d)); - } - - cvtlf(copy_fi(0x00000000)); - cvtlf(copy_fi(0x456789ab)); - cvtlf(copy_fi(0x7f800000)); - cvtlf(copy_fi(0x7f923456)); - cvtlf(copy_fi(0x7fdbcdef)); - cvtlf(copy_fi(0x80000000)); - cvtlf(copy_fi(0xabcdef12)); - cvtlf(copy_fi(0xff800000)); - cvtlf(copy_fi(0xff923456)); - cvtlf(copy_fi(0xffdbcdef)); - - cvtld(copy_di(0x0000000000000000)); - cvtld(copy_di(0x456789abcdef0123)); - cvtld(copy_di(0x7ff0000000000000)); - cvtld(copy_di(0x7ff123456789abcd)); - cvtld(copy_di(0x7ffabcdef1234567)); - cvtld(copy_di(0x8000000000000000)); - cvtld(copy_di(0xcdef123456789abc)); - cvtld(copy_di(0xfff0000000000000)); - cvtld(copy_di(0xfff123456789abcd)); - cvtld(copy_di(0xfffabcdef1234567)); - - for (i = 0; i < 2; i++) { \ - cvtfl(make(i, 0, 0, 0)); - cvtfl(make(i, 16232, -1, -1)); - cvtfl(make(i, 16233, 0, 0)); - cvtfl(make(i, 16233, 0, 1)); - cvtfl(make(i, 16383, 0xab0ffd000000, 0)); - cvtfl(make(i, 16383, 0xab0ffd000001, 0)); - cvtfl(make(i, 16383, 0xab0ffeffffff, 0)); - cvtfl(make(i, 16383, 0xab0fff000000, 0)); - cvtfl(make(i, 16383, 0xab0fff000001, 0)); - cvtfl(make(i, 16510, 0xfffffeffffff, -1)); - cvtfl(make(i, 16510, 0xffffff000000, 0)); - cvtfl(make(i, 16511, 0, 0)); - cvtfl(make(i, 32767, 0, 0)); - cvtfl(make(i, 32767, 0, 1)); - cvtfl(make(i, 32767, 0x4cbe01ac5f40, 0x75cee3c6afbb00b5)); - cvtfl(make(i, 32767, 0x800000000000, 1)); - cvtfl(make(i, 32767, 0xa11caaaf6a52, 0x696033e871eab099)); - } - - for (i = 0; i < 2; i++) { - cvtdl(make(i, 0, 0, 0)); - cvtdl(make(i, 15307, -1, -1)); - cvtdl(make(i, 15308, 0, 0)); - cvtdl(make(i, 15308, 0, 1)); - cvtdl(make(i, 16383, 0xabc123abc0ff, 0xe800000000000000)); - cvtdl(make(i, 16383, 0xabc123abc0ff, 0xe800000000000001)); - cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf7ffffffffffffff)); - cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf800000000000000)); - cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf800000000000001)); - cvtdl(make(i, 17406, 0xffffffffffff, 0xf7ffffffffffffff)); - cvtdl(make(i, 17406, 0xffffffffffff, 0xf800000000000000)); - cvtdl(make(i, 17407, 0, 0)); - cvtdl(make(i, 32767, 0, 0)); - cvtdl(make(i, 32767, 0, 1)); - cvtdl(make(i, 32767, 0x4cbe01ac5f40, 0x75cee3c6afbb00b5)); - cvtdl(make(i, 32767, 0x800000000000, 1)); - cvtdl(make(i, 32767, 0xa11caaaf6a52, 0x696033e871eab099)); - } -} - -void tests(void) -{ - cmps(); - nanz(); - adds(); - muls(); - divs(); - cvts(); -} - -int main() -{ -#ifdef __aarch64__ - tests(); -#else - printf("This test program is intended for a little-endian architecture\n" - "with an IEEE-standard 128-bit long double.\n"); -#endif - return 0; -} |