// // m3_math_utils.h // // Created by Volodymyr Shymanksyy on 8/10/19. // Copyright © 2019 Volodymyr Shymanskyy. All rights reserved. // #ifndef m3_math_utils_h #define m3_math_utils_h #include "m3_core.h" #include #if defined(M3_COMPILER_MSVC) #include #define __builtin_popcount __popcnt static inline int __builtin_ctz(uint32_t x) { unsigned long ret; _BitScanForward(&ret, x); return (int)ret; } static inline int __builtin_clz(uint32_t x) { unsigned long ret; _BitScanReverse(&ret, x); return (int)(31 ^ ret); } #ifdef _WIN64 #define __builtin_popcountll __popcnt64 static inline int __builtin_ctzll(uint64_t value) { unsigned long ret; _BitScanForward64(&ret, value); return (int)ret; } static inline int __builtin_clzll(uint64_t value) { unsigned long ret; _BitScanReverse64(&ret, value); return (int)(63 ^ ret); } #else // _WIN64 #define __builtin_popcountll(x) (__popcnt((x) & 0xFFFFFFFF) + __popcnt((x) >> 32)) static inline int __builtin_ctzll(uint64_t value) { //if (value == 0) return 64; // Note: ctz(0) result is undefined anyway uint32_t msh = (uint32_t)(value >> 32); uint32_t lsh = (uint32_t)(value & 0xFFFFFFFF); if (lsh != 0) return __builtin_ctz(lsh); return 32 + __builtin_ctz(msh); } static inline int __builtin_clzll(uint64_t value) { //if (value == 0) return 64; // Note: clz(0) result is undefined anyway uint32_t msh = (uint32_t)(value >> 32); uint32_t lsh = (uint32_t)(value & 0xFFFFFFFF); if (msh != 0) return __builtin_clz(msh); return 32 + __builtin_clz(lsh); } #endif // _WIN64 #endif // defined(M3_COMPILER_MSVC) // TODO: not sure why, signbit is actually defined in math.h #if (defined(ESP8266) || defined(ESP32)) && !defined(signbit) #define signbit(__x) \ ((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : __signbitd(__x)) #endif #if defined(__AVR__) static inline float rintf( float arg ) { union { float f; uint32_t i; } u; u.f = arg; uint32_t ux = u.i & 0x7FFFFFFF; if (UNLIKELY(ux == 0 || ux > 0x5A000000)) { return arg; } return (float)lrint(arg); } static inline double rint( double arg ) { union { double f; uint32_t i[2]; } u; u.f = arg; uint32_t ux = u.i[1] & 0x7FFFFFFF; if (UNLIKELY((ux == 0 && u.i[0] == 0) || ux > 0x433FFFFF)) { return arg; } return (double)lrint(arg); } //TODO static inline uint64_t strtoull(const char* str, char** endptr, int base) { return 0; } #endif /* * Rotr, Rotl */ static inline u32 rotl32(u32 n, unsigned c) { const unsigned mask = CHAR_BIT * sizeof(n) - 1; c &= mask & 31; return (n << c) | (n >> ((-c) & mask)); } static inline u32 rotr32(u32 n, unsigned c) { const unsigned mask = CHAR_BIT * sizeof(n) - 1; c &= mask & 31; return (n >> c) | (n << ((-c) & mask)); } static inline u64 rotl64(u64 n, unsigned c) { const unsigned mask = CHAR_BIT * sizeof(n) - 1; c &= mask & 63; return (n << c) | (n >> ((-c) & mask)); } static inline u64 rotr64(u64 n, unsigned c) { const unsigned mask = CHAR_BIT * sizeof(n) - 1; c &= mask & 63; return (n >> c) | (n << ((-c) & mask)); } /* * Integer Div, Rem */ #define OP_DIV_U(RES, A, B) \ if (UNLIKELY(B == 0)) return m3Err_trapDivisionByZero; \ RES = A / B; #define OP_REM_U(RES, A, B) \ if (UNLIKELY(B == 0)) return m3Err_trapDivisionByZero; \ RES = A % B; // 2's complement detection #if (INT_MIN != -INT_MAX) #define OP_DIV_S(RES, A, B, TYPE_MIN) \ if (UNLIKELY(B == 0)) return m3Err_trapDivisionByZero; \ if (UNLIKELY(B == -1 and A == TYPE_MIN)) { \ return m3Err_trapIntegerOverflow; \ } \ RES = A / B; #define OP_REM_S(RES, A, B, TYPE_MIN) \ if (UNLIKELY(B == 0)) return m3Err_trapDivisionByZero; \ if (UNLIKELY(B == -1 and A == TYPE_MIN)) RES = 0; \ else RES = A % B; #else #define OP_DIV_S(RES, A, B, TYPE_MIN) OP_DIV_U(RES, A, B) #define OP_REM_S(RES, A, B, TYPE_MIN) OP_REM_U(RES, A, B) #endif /* * Trunc */ #define OP_TRUNC(RES, A, TYPE, RMIN, RMAX) \ if (UNLIKELY(isnan(A))) { \ return m3Err_trapIntegerConversion; \ } \ if (UNLIKELY(A <= RMIN or A >= RMAX)) { \ return m3Err_trapIntegerOverflow; \ } \ RES = (TYPE)A; #define OP_I32_TRUNC_F32(RES, A) OP_TRUNC(RES, A, i32, -2147483904.0f, 2147483648.0f) #define OP_U32_TRUNC_F32(RES, A) OP_TRUNC(RES, A, u32, -1.0f, 4294967296.0f) #define OP_I32_TRUNC_F64(RES, A) OP_TRUNC(RES, A, i32, -2147483649.0 , 2147483648.0 ) #define OP_U32_TRUNC_F64(RES, A) OP_TRUNC(RES, A, u32, -1.0 , 4294967296.0 ) #define OP_I64_TRUNC_F32(RES, A) OP_TRUNC(RES, A, i64, -9223373136366403584.0f, 9223372036854775808.0f) #define OP_U64_TRUNC_F32(RES, A) OP_TRUNC(RES, A, u64, -1.0f, 18446744073709551616.0f) #define OP_I64_TRUNC_F64(RES, A) OP_TRUNC(RES, A, i64, -9223372036854777856.0 , 9223372036854775808.0 ) #define OP_U64_TRUNC_F64(RES, A) OP_TRUNC(RES, A, u64, -1.0 , 18446744073709551616.0 ) #define OP_TRUNC_SAT(RES, A, TYPE, RMIN, RMAX, IMIN, IMAX) \ if (UNLIKELY(isnan(A))) { \ RES = 0; \ } else if (UNLIKELY(A <= RMIN)) { \ RES = IMIN; \ } else if (UNLIKELY(A >= RMAX)) { \ RES = IMAX; \ } else { \ RES = (TYPE)A; \ } #define OP_I32_TRUNC_SAT_F32(RES, A) OP_TRUNC_SAT(RES, A, i32, -2147483904.0f, 2147483648.0f, INT32_MIN, INT32_MAX) #define OP_U32_TRUNC_SAT_F32(RES, A) OP_TRUNC_SAT(RES, A, u32, -1.0f, 4294967296.0f, 0UL, UINT32_MAX) #define OP_I32_TRUNC_SAT_F64(RES, A) OP_TRUNC_SAT(RES, A, i32, -2147483649.0 , 2147483648.0, INT32_MIN, INT32_MAX) #define OP_U32_TRUNC_SAT_F64(RES, A) OP_TRUNC_SAT(RES, A, u32, -1.0 , 4294967296.0, 0UL, UINT32_MAX) #define OP_I64_TRUNC_SAT_F32(RES, A) OP_TRUNC_SAT(RES, A, i64, -9223373136366403584.0f, 9223372036854775808.0f, INT64_MIN, INT64_MAX) #define OP_U64_TRUNC_SAT_F32(RES, A) OP_TRUNC_SAT(RES, A, u64, -1.0f, 18446744073709551616.0f, 0ULL, UINT64_MAX) #define OP_I64_TRUNC_SAT_F64(RES, A) OP_TRUNC_SAT(RES, A, i64, -9223372036854777856.0 , 9223372036854775808.0, INT64_MIN, INT64_MAX) #define OP_U64_TRUNC_SAT_F64(RES, A) OP_TRUNC_SAT(RES, A, u64, -1.0 , 18446744073709551616.0, 0ULL, UINT64_MAX) /* * Min, Max */ #if d_m3HasFloat #include static inline f32 min_f32(f32 a, f32 b) { if (UNLIKELY(isnan(a) or isnan(b))) return NAN; if (UNLIKELY(a == 0 and a == b)) return signbit(a) ? a : b; return a > b ? b : a; } static inline f32 max_f32(f32 a, f32 b) { if (UNLIKELY(isnan(a) or isnan(b))) return NAN; if (UNLIKELY(a == 0 and a == b)) return signbit(a) ? b : a; return a > b ? a : b; } static inline f64 min_f64(f64 a, f64 b) { if (UNLIKELY(isnan(a) or isnan(b))) return NAN; if (UNLIKELY(a == 0 and a == b)) return signbit(a) ? a : b; return a > b ? b : a; } static inline f64 max_f64(f64 a, f64 b) { if (UNLIKELY(isnan(a) or isnan(b))) return NAN; if (UNLIKELY(a == 0 and a == b)) return signbit(a) ? b : a; return a > b ? a : b; } #endif #endif // m3_math_utils_h