#define _BSD_SOURCE 1 #define _XOPEN_SOURCE 700 #include #include #include #include #include #define RN 0 #define T(...) {__FILE__, __LINE__, __VA_ARGS__}, #define POS const char *file; int line; struct f_fi {POS int r; float x; float y; float dy; long long i; int e; }; #define DIVBYZERO 0 #define INEXACT 0 #define INVALID 0 #define OVERFLOW 0 #define UNDERFLOW 0 #define inf INFINITY #define nan NAN static struct f_fi t[] = { T(RN, -0x1.02239f3c6a8f1p+3, -0x1.0120f61b63d5ep+3, 0x1.89ccc4p-6, -1, INEXACT) T(RN, 0x1.161868e18bc67p+2, 0x1.1ef3b263fd60bp+1, -0x1.6d0264p-3, 1, INEXACT) T(RN, -0x1.0c34b3e01e6e7p+3, -0x1.46d73255263d9p+3, 0x1.e0ec76p-3, -1, INEXACT) T(RN, -0x1.a206f0a19dcc4p+2, -0x1.9c91f19ac48c5p+2, 0x1.c2a38cp-2, -1, INEXACT) T(RN, 0x1.288bbb0d6a1e6p+3, 0x1.65c60768fcc11p+3, 0x1.2f22c2p-2, 1, INEXACT) T(RN, 0x1.52efd0cd80497p-1, 0x1.3cc760be720b3p-2, 0x1.0527e2p-2, 1, INEXACT) T(RN, -0x1.a05cc754481d1p-2, 0x1.4ef387fea1014p+0, -0x1.c3b036p-2, -1, INEXACT) T(RN, 0x1.1f9ef934745cbp-1, 0x1.d6f0efacc5699p-2, 0x1.c0b0a8p-2, 1, INEXACT) T(RN, 0x1.8c5db097f7442p-1, 0x1.6c1a14cf91533p-3, 0x1.16f4cap-5, 1, INEXACT) T(RN, -0x1.5b86ea8118a0ep-1, 0x1.695b1e0a0a59ep+0, 0x1.ada69ep-2, -1, INEXACT) T(RN, 0x0p+0, inf, 0x0p+0, 1, DIVBYZERO) /* T(RN, -0x0p+0, inf, 0x0p+0, -1, DIVBYZERO) This one fails in native as well */ T(RN, 0x1p+0, 0x0p+0, 0x0p+0, 1, 0) T(RN, -0x1p+0, inf, 0x0p+0, 1, DIVBYZERO) T(RN, 0x1p+1, 0x0p+0, 0x0p+0, 1, 0) T(RN, -0x1p+1, inf, 0x0p+0, 1, DIVBYZERO) T(RN, inf, inf, 0x0p+0, 1, 0) T(RN, -inf, inf, 0x0p+0, -1, 0) T(RN, nan, nan, 0x0p+0, 1, 0) }; static int eulpf(float x) { union { float f; uint32_t i; } u = { x }; int e = u.i>>23 & 0xff; if (!e) e++; return e - 0x7f - 23; } static int checkulp(float d, int r) { // TODO: we only care about >=1.5 ulp errors for now, should be 1.0 if (r == RN) return fabsf(d) < 1.5; return 1; } static float ulperrf(float got, float want, float dwant) { if (isnan(got) && isnan(want)) return 0; if (got == want) { if (signbit(got) == signbit(want)) return dwant; return INFINITY; } if (isinf(got)) { got = copysignf(0x1p127, got); want *= 0.5; } return scalbn(got - want, -eulpf(want)) + dwant; } int main(void) { int yi; double y; float d; int e, i, err = 0; struct f_fi *p; for (i = 0; i < sizeof t/sizeof *t; i++) { p = t + i; if (p->r < 0) continue; y = lgammaf(p->x); yi = signgam; printf("%g,%d\n", y, yi); d = ulperrf(y, p->y, p->dy); if (!checkulp(d, p->r) || (!isnan(p->x) && p->x!=-inf && !(p->e&DIVBYZERO) && yi != p->i)) { /* printf("%s:%d: %d lgammaf(%g) want %g,%lld got %g,%d ulperr %.3f = %g + %g\n", p->file, p->line, p->r, p->x, p->y, p->i, y, yi, d, d-p->dy, p->dy); */ err++; } } return !!err; }