#include #include #include #define FORCE_EVAL(x) \ do { \ if(sizeof(x) == sizeof(float)) { \ volatile float __x; \ __x = (x); \ (void)__x; \ } else if(sizeof(x) == sizeof(double)) { \ volatile double __x; \ __x = (x); \ (void)__x; \ } else { \ volatile long double __x; \ __x = (x); \ (void)__x; \ } \ } while(0) float floorf(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) u.i += m; u.i &= ~m; } else { FORCE_EVAL(x + 0x1p120f); if(u.i >> 31 == 0) u.i = 0; else if(u.i << 1) u.f = -1.0; } return u.f; } float fmodf(float x, float y) { union { float f; uint32_t i; } ux = {x}, uy = {y}; int ex = ux.i >> 23 & 0xff; int ey = uy.i >> 23 & 0xff; uint32_t sx = ux.i & 0x80000000; uint32_t i; uint32_t uxi = ux.i; if(uy.i << 1 == 0 || isnan(y) || ex == 0xff) return (x * y) / (x * y); if(uxi << 1 <= uy.i << 1) { if(uxi << 1 == uy.i << 1) return 0 * x; return x; } /* normalize x and y */ if(!ex) { for(i = uxi << 9; i >> 31 == 0; ex--, i <<= 1) ; uxi <<= -ex + 1; } else { uxi &= -1U >> 9; uxi |= 1U << 23; } if(!ey) { for(i = uy.i << 9; i >> 31 == 0; ey--, i <<= 1) ; uy.i <<= -ey + 1; } else { uy.i &= -1U >> 9; uy.i |= 1U << 23; } /* x mod y */ for(; ex > ey; ex--) { i = uxi - uy.i; if(i >> 31 == 0) { if(i == 0) return 0 * x; uxi = i; } uxi <<= 1; } i = uxi - uy.i; if(i >> 31 == 0) { if(i == 0) return 0 * x; uxi = i; } for(; uxi >> 23 == 0; uxi <<= 1, ex--) ; /* scale result up */ if(ex > 0) { uxi -= 1U << 23; uxi |= (uint32_t)ex << 23; } else { uxi >>= -ex + 1; } uxi |= sx; ux.i = uxi; return ux.f; } float nearbyintf(float x) { union { float f; uint32_t i; } u = {x}; int e = u.i >> 23 & 0xff; int s = u.i >> 31; float_t y; if(e >= 0x7f + 23) return x; if(s) y = x - 0x1p23f + 0x1p23f; else y = x + 0x1p23f - 0x1p23f; if(y == 0) return s ? -0.0f : 0.0f; return y; } // // __aebi_x2x functions are just here to prevent compiler warnings // double __aeabi_i2d(int x) { return (double)x; } float __aeabi_d2f(double x) { return (float)x; } double __aeabi_f2d(float x) { return (double)x; }