#include #include #include #include #include "ieee754.h" #include "dtypes.h" #include "hashing.h" static uint64_t max_ulps; static uint32_t flt_max_ulps; static uint64_t nexti64pow2(uint64_t i) { if (i==0) return 1; if ((i&(i-1))==0) return i; if (i&BIT63) return BIT63; // repeatedly clear bottom bit while (i&(i-1)) i = i&(i-1); return i<<1; } static uint32_t nexti32pow2(uint32_t i) { if (i==0) return 1; if ((i&(i-1))==0) return i; if (i&BIT31) return BIT31; // repeatedly clear bottom bit while (i&(i-1)) i = i&(i-1); return i<<1; } void dbl_tolerance(double tol) { max_ulps = nexti64pow2((uint64_t)(tol/DBL_EPSILON)); } void flt_tolerance(float tol) { flt_max_ulps = nexti32pow2((uint32_t)(tol/FLT_EPSILON)); } #ifdef __INTEL_COMPILER static inline int64_t llabs(int64_t j) { return NBABS(j, 64); } #else #endif int dbl_equals(double a, double b) { union { double d; int64_t i; } ua; union { double d; int64_t i; } ub; int64_t aint, bint; if (a == b) return 1; ua.d = a; aint = ua.i; ub.d = b; bint = ub.i; if (aint < 0) aint = BIT63 - aint; if (bint < 0) bint = BIT63 - bint; /* you'd think it makes no difference whether the result of llabs is signed or unsigned, but if it's signed then the case of 0x8000000000000000 blows up, making 4 == -1 :) */ if ((uint64_t)llabs(aint-bint) <= max_ulps) return 1; return 0; } int flt_equals(float a, float b) { union { float f; int32_t i; } ua; union { float f; int32_t i; } ub; int32_t aint, bint; if (a == b) return 1; ua.f = a; aint = ua.i; ub.f = b; bint = ub.i; if (aint < 0) aint = BIT31 - aint; if (bint < 0) bint = BIT31 - bint; if ((uint32_t)abs(aint-bint) <= flt_max_ulps) return 1; return 0; }