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Исправление существовавших и добавление новых функций сравнения

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Andrey Pokidov 2025-02-05 23:43:02 +07:00
parent 847c022533
commit 421ca77cb4
15 changed files with 174 additions and 74 deletions
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39
basic-geometry/utilities.h
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@ -1,7 +1,7 @@
#ifndef _BGC_UTILITIES_H_
#define _BGC_UTILITIES_H_
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 10.0f
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 1.0f
#define BGC_EPSYLON_FP32 5E-7f
#define BGC_SQUARE_EPSYLON_FP32 2.5E-13f
@ -13,7 +13,7 @@
#define BGC_GOLDEN_RATIO_HIGH_FP32 1.618034f
#define BGC_GOLDEN_RATIO_LOW_FP32 0.618034f
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 10.0
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 1.0
#define BGC_EPSYLON_FP64 5E-14
#define BGC_SQUARE_EPSYLON_FP64 2.5E-27
@ -57,31 +57,34 @@ inline int bgc_is_sqare_value_unit_fp64(const double square_value)
return (1.0 - 2.0 * BGC_EPSYLON_FP64 <= square_value) && (square_value <= 1.0 + 2.0 * BGC_EPSYLON_FP64);
}
// ================== Are Close ================= //
inline int bgc_are_equal_fp32(const float value1, const float value2)
inline int bgc_are_close_fp32(const float value1, const float value2)
{
if (-BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 < value1 && value1 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return -BGC_EPSYLON_FP32 <= (value1 - value2) && (value1 - value2) <= BGC_EPSYLON_FP32;
const float difference = value1 - value2;
const float square_value1 = value1 * value1;
const float square_value2 = value2 * value2;
const float square_difference = difference * difference;
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_difference <= BGC_SQUARE_EPSYLON_FP32;
}
if (value1 < 0.0f) {
return (1.0f + BGC_EPSYLON_FP32) * value2 <= value1 && (1.0f + BGC_EPSYLON_FP32) * value1 <= value2;
}
return value2 <= value1 * (1.0f + BGC_EPSYLON_FP32) && value1 <= value2 * (1.0f + BGC_EPSYLON_FP32);
return square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value2;
}
inline int bgc_are_equal_fp64(const double value1, const double value2)
inline int bgc_are_close_fp64(const double value1, const double value2)
{
if (-BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 < value1 && value1 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return -BGC_EPSYLON_FP64 <= (value1 - value2) && (value1 - value2) <= BGC_EPSYLON_FP64;
const double difference = value1 - value2;
const double square_value1 = value1 * value1;
const double square_value2 = value2 * value2;
const double square_difference = difference * difference;
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_difference <= BGC_SQUARE_EPSYLON_FP64;
}
if (value1 < 0.0) {
return (1.0 + BGC_EPSYLON_FP64) * value2 <= value1 && (1.0 + BGC_EPSYLON_FP64) * value1 <= value2;
}
return value2 <= value1 * (1.0 + BGC_EPSYLON_FP64) && value1 <= value2 * (1.0 + BGC_EPSYLON_FP64);
return square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value2;
}
#endif