#include #include #include #include "internal/libm.h" #define EPS DBL_EPSILON static const double toint = 1/EPS; double ceil(double x) { union {double f; uint64_t i;} u = {x}; int e = u.i >> 52 & 0x7ff; double y; if (e >= 0x3ff+52 || x == 0) return x; if (u.i >> 63) { y = x - toint + toint - x; } else { y = x + toint - toint - x; } if (e <= 0x3ff-1) { FORCE_EVAL(y); return u.i >> 63 ? -0.0 : 1; } if (y < 0) return x + y + 1; return x + y; } float ceilf(float x) { union {float f; uint32_t i;} u = {x}; int e = (int)(u.i >> 23 & 0xff) - 0x7f; uint32_t m; if (e >= 23) return x; if (e >= 0) { m = 0x007fffff >> e; if ((u.i & m) == 0) return x; FORCE_EVAL(x + 0x1p120f); if (u.i >> 31 == 0) u.i += m; u.i &= ~m; } else { FORCE_EVAL(x + 0x1p120f); if (u.i >> 31) u.f = -0.0; else if (u.i << 1) u.f = 1.0; } return u.f; }