mirror of
https://github.com/pocketpy/pocketpy
synced 2025-10-20 11:30:18 +00:00
405 lines
11 KiB
C
405 lines
11 KiB
C
#ifndef _MATH_H
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#define _MATH_H
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifndef _HUGE_ENUF
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#define _HUGE_ENUF 1e+300 // _HUGE_ENUF*_HUGE_ENUF must overflow
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#endif
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#define INFINITY ((float)(_HUGE_ENUF * _HUGE_ENUF))
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#define HUGE_VALF INFINITY
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#define HUGE_VAL ((double)INFINITY)
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#define HUGE_VALL ((long double)INFINITY)
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#define NAN ((float)(INFINITY * 0.0F))
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#define MATH_ERRNO 1
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#define MATH_ERREXCEPT 2
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#define math_errhandling 2
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#define FP_ILOGBNAN (-1-0x7fffffff)
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#define FP_ILOGB0 FP_ILOGBNAN
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#define ULLONG_NSHIFT 0xFFFFFFFFFFFFFFFF
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#define ULLONG_SHIFT1 0x7FFFFFFFFFFFFFFF
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#define FP_NAN 0
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#define FP_INFINITE 1
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#define FP_ZERO 2
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#define FP_SUBNORMAL 3
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#define FP_NORMAL 4
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#ifdef __FP_FAST_FMA
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#define FP_FAST_FMA 1
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#endif
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#ifdef __FP_FAST_FMAF
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#define FP_FAST_FMAF 1
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#endif
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#ifdef __FP_FAST_FMAL
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#define FP_FAST_FMAL 1
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#endif
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#define FLT_EVAL_METHOD 0
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/* Support non-nearest rounding mode. */
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#define WANT_ROUNDING 1
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/* Support signaling NaNs. */
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#define WANT_SNAN 0
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#if WANT_SNAN
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#error SNaN is unsupported
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#else
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#define issignalingf_inline(x) 0
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#define issignaling_inline(x) 0
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#endif
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#define predict_true(x) (x)
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#define predict_false(x) (x)
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int __fpclassify(double);
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int __fpclassifyf(float);
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int __fpclassifyl(long double);
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static __inline unsigned __FLOAT_BITS(float __f)
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{
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union {float __f; unsigned __i;} __u;
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__u.__f = __f;
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return __u.__i;
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}
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static __inline unsigned long long __DOUBLE_BITS(double __f)
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{
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union {double __f; unsigned long long __i;} __u;
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__u.__f = __f;
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return __u.__i;
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}
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#define fpclassify(x) ( \
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sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
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sizeof(x) == sizeof(double) ? __fpclassify(x) : \
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__fpclassifyl(x) )
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#define isinf(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & ULLONG_SHIFT1) == 0x7ffULL<<52 : \
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__fpclassifyl(x) == FP_INFINITE)
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#define isnan(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & ULLONG_SHIFT1) > 0x7ffULL<<52 : \
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__fpclassifyl(x) == FP_NAN)
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#define isnormal(x) ( \
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sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
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sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & ULLONG_SHIFT1) >= 1ULL<<53 : \
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__fpclassifyl(x) == FP_NORMAL)
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#define isfinite(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & ULLONG_SHIFT1) < 0x7ffULL<<52 : \
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__fpclassifyl(x) > FP_INFINITE)
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int __signbit(double);
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int __signbitf(float);
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int __signbitl(long double);
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#define signbit(x) ( \
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sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
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sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
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__signbitl(x) )
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#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
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#define __ISREL_DEF(rel, op, type) \
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static __inline int __is##rel(type __x, type __y) \
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{ return !isunordered(__x,__y) && __x op __y; }
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__ISREL_DEF(lessf, <, float)
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__ISREL_DEF(less, <, double)
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__ISREL_DEF(lessl, <, long double)
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__ISREL_DEF(lessequalf, <=, float)
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__ISREL_DEF(lessequal, <=, double)
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__ISREL_DEF(lessequall, <=, long double)
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__ISREL_DEF(lessgreaterf, !=, float)
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__ISREL_DEF(lessgreater, !=, double)
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__ISREL_DEF(lessgreaterl, !=, long double)
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__ISREL_DEF(greaterf, >, float)
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__ISREL_DEF(greater, >, double)
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__ISREL_DEF(greaterl, >, long double)
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__ISREL_DEF(greaterequalf, >=, float)
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__ISREL_DEF(greaterequal, >=, double)
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__ISREL_DEF(greaterequall, >=, long double)
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#define __tg_pred_2(x, y, p) ( \
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sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
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sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
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p##l(x, y) )
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#define isless(x, y) __tg_pred_2(x, y, __isless)
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#define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
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#define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
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#define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
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#define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)
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/* Evaluate an expression as the specified type. With standard excess
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precision handling a type cast or assignment is enough (with
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-ffloat-store an assignment is required, in old compilers argument
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passing and return statement may not drop excess precision). */
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static inline float eval_as_float(float x)
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{
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float y = x;
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return y;
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}
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static inline double eval_as_double(double x)
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{
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double y = x;
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return y;
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}
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/* fp_barrier returns its input, but limits code transformations
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as if it had a side-effect (e.g. observable io) and returned
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an arbitrary value. */
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#ifndef fp_barrierf
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#define fp_barrierf fp_barrierf
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static inline float fp_barrierf(float x)
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{
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volatile float y = x;
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return y;
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}
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#endif
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#ifndef fp_barrier
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#define fp_barrier fp_barrier
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static inline double fp_barrier(double x)
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{
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volatile double y = x;
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return y;
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}
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#endif
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#ifndef fp_barrierl
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#define fp_barrierl fp_barrierl
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static inline long double fp_barrierl(long double x)
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{
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volatile long double y = x;
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return y;
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}
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#endif
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/* fp_force_eval ensures that the input value is computed when that's
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otherwise unused. To prevent the constant folding of the input
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expression, an additional fp_barrier may be needed or a compilation
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mode that does so (e.g. -frounding-math in gcc). Then it can be
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used to evaluate an expression for its fenv side-effects only. */
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#ifndef fp_force_evalf
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#define fp_force_evalf fp_force_evalf
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static inline void fp_force_evalf(float x)
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{
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volatile float y;
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y = x;
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}
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#endif
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#ifndef fp_force_eval
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#define fp_force_eval fp_force_eval
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static inline void fp_force_eval(double x)
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{
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volatile double y;
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y = x;
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}
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#endif
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#ifndef fp_force_evall
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#define fp_force_evall fp_force_evall
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static inline void fp_force_evall(long double x)
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{
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volatile long double y;
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y = x;
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}
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#endif
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#define FORCE_EVAL(x) do { \
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if (sizeof(x) == sizeof(float)) { \
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fp_force_evalf(x); \
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} else if (sizeof(x) == sizeof(double)) { \
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fp_force_eval(x); \
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} else { \
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fp_force_evall(x); \
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} \
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} while(0)
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typedef union {float _f; unsigned int _i;}asuint_union;
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typedef union {unsigned int _i; float _f;}asfloat_union;
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typedef union {double _f; unsigned long long _i;}asuint64_union;
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typedef union {unsigned long long _i; double _f;}asdouble_union;
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#define asuint(f) ((asuint_union){f})._i
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#define asfloat(i) ((asfloat_union){i})._f
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#define asuint64(f) ((asuint64_union){f})._i
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#define asdouble(i) ((asdouble_union){i})._f
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#define EXTRACT_WORDS(hi,lo,d) \
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do { \
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unsigned long long __u = asuint64(d); \
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(hi) = __u >> 32; \
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(lo) = (unsigned int)__u; \
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} while (0)
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#define GET_HIGH_WORD(hi,d) \
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do { \
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(hi) = asuint64(d) >> 32; \
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} while (0)
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#define GET_LOW_WORD(lo,d) \
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do { \
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(lo) = (unsigned int)asuint64(d); \
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} while (0)
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#define INSERT_WORDS(d,hi,lo) \
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do { \
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(d) = asdouble(((unsigned long long)(hi)<<32) | (unsigned int)(lo)); \
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} while (0)
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#define SET_HIGH_WORD(d,hi) \
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INSERT_WORDS(d, hi, (unsigned int)asuint64(d))
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#define SET_LOW_WORD(d,lo) \
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INSERT_WORDS(d, asuint64(d)>>32, lo)
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#define GET_FLOAT_WORD(w,d) \
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do { \
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(w) = asuint(d); \
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} while (0)
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#define SET_FLOAT_WORD(d,w) \
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do { \
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(d) = asfloat(w); \
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} while (0)
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int __rem_pio2_large(double*, double*, int, int, int);
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int __rem_pio2(double, double*);
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double __sin(double, double, int);
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double __cos(double, double);
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double __tan(double, double, int);
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/* error handling functions */
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float __math_xflowf(unsigned int, float);
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float __math_uflowf(unsigned int);
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float __math_oflowf(unsigned int);
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float __math_divzerof(unsigned int);
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float __math_invalidf(float);
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double __math_xflow(unsigned int, double);
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double __math_uflow(unsigned int);
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double __math_oflow(unsigned int);
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double __math_divzero(unsigned int);
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double __math_invalid(double);
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#if LDBL_MANT_DIG != DBL_MANT_DIG
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long double __math_invalidl(long double);
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#endif
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double acos(double);
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double asin(double);
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double atan(double);
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double atan2(double, double);
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double cbrt(double);
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double ceil(double);
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double cos(double);
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double degrees(double);
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double exp(double);
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double fabs(double);
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int factorial(int);
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double floor(double);
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double fmax(double, double);
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double fmin(double, double);
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double fmod(double, double);
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double fsum(double*, int);
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int gcd(int, int);
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double log(double);
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double log10(double);
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double log2(double);
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double modf(double, double *);
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double pow(double, double);
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double radians(double);
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double scalbn(double, int);
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double sin(double);
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double sqrt(double);
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double tan(double);
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double trunc(double);
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#define FLT_TRUE_MIN 1.40129846432481707092e-45F
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#define FLT_MIN 1.17549435082228750797e-38F
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#define FLT_MAX 3.40282346638528859812e+38F
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#define FLT_EPSILON 1.1920928955078125e-07F
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#define FLT_MANT_DIG 24
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#define FLT_MIN_EXP (-125)
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#define FLT_MAX_EXP 128
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#define FLT_HAS_SUBNORM 1
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#define FLT_DIG 6
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#define FLT_DECIMAL_DIG 9
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#define FLT_MIN_10_EXP (-37)
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#define FLT_MAX_10_EXP 38
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#define DBL_TRUE_MIN 4.94065645841246544177e-324
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#define DBL_MIN 2.22507385850720138309e-308
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#define DBL_MAX 1.79769313486231570815e+308
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#define DBL_EPSILON 2.22044604925031308085e-16
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#define DBL_MANT_DIG 53
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#define DBL_MIN_EXP (-1021)
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#define DBL_MAX_EXP 1024
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#define DBL_HAS_SUBNORM 1
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#define DBL_DIG 15
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#define DBL_DECIMAL_DIG 17
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#define DBL_MIN_10_EXP (-307)
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#define DBL_MAX_10_EXP 308
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#define LDBL_HAS_SUBNORM 1
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#define LDBL_DECIMAL_DIG DBL_DECIMAL_DIG
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#define LDBL_MANT_DIG DBL_MANT_DIG
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#define LDBL_MAX_EXP DBL_MAX_EXP
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#undef MAXFLOAT
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#define MAXFLOAT 3.40282346638528859812e+38F
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#define HUGE 3.40282346638528859812e+38F
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#define M_DEG2RAD 0.017453292519943295 /* pi/180 */
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#define M_E 2.7182818284590452354 /* e */
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#define M_LOG2E 1.4426950408889634074 /* log_2 e */
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#define M_LOG10E 0.43429448190325182765 /* log_10 e */
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#define M_LN2 0.69314718055994530942 /* log_e 2 */
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#define M_LN10 2.30258509299404568402 /* log_e 10 */
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#define M_PI 3.14159265358979323846 /* pi */
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#define M_PI_2 1.57079632679489661923 /* pi/2 */
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#define M_PI_4 0.78539816339744830962 /* pi/4 */
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#define M_1_PI 0.31830988618379067154 /* 1/pi */
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#define M_2_PI 0.63661977236758134308 /* 2/pi */
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#define M_RAD2DEG 57.29577951308232 /* 180/pi */
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#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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// extern int signgam;
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// double j0(double);
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// double j1(double);
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// double jn(int, double);
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// double y0(double);
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// double y1(double);
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// double yn(int, double);
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#ifdef __cplusplus
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}
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#endif
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#endif
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