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Diffstat (limited to 'tinyc/tests/testfp.c')
| -rw-r--r-- | tinyc/tests/testfp.c | 510 |
1 files changed, 510 insertions, 0 deletions
diff --git a/tinyc/tests/testfp.c b/tinyc/tests/testfp.c new file mode 100644 index 000000000..63342b422 --- /dev/null +++ b/tinyc/tests/testfp.c @@ -0,0 +1,510 @@ +/* + * 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; +} |