kopia lustrzana https://github.com/micropython/micropython
228 wiersze
7.0 KiB
C
228 wiersze
7.0 KiB
C
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/*
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* This file is part of the Micro Python project, http://micropython.org/
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*
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* This file is adapted from from newlib-nano-2, the newlib/libm/common/fdlib.h,
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* available from https://github.com/32bitmicro/newlib-nano-2. The main change
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* is removal of anything to do with double precision.
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*
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* Appropriate copyright headers are reproduced below.
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*/
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/* @(#)fdlibm.h 5.1 93/09/24 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <math.h>
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/* Default to XOPEN_MODE. */
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#define _XOPEN_MODE
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/* Most routines need to check whether a float is finite, infinite, or not a
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number, and many need to know whether the result of an operation will
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overflow. These conditions depend on whether the largest exponent is
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used for NaNs & infinities, or whether it's used for finite numbers. The
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macros below wrap up that kind of information:
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FLT_UWORD_IS_FINITE(X)
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True if a positive float with bitmask X is finite.
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FLT_UWORD_IS_NAN(X)
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True if a positive float with bitmask X is not a number.
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FLT_UWORD_IS_INFINITE(X)
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True if a positive float with bitmask X is +infinity.
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FLT_UWORD_MAX
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The bitmask of FLT_MAX.
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FLT_UWORD_HALF_MAX
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The bitmask of FLT_MAX/2.
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FLT_UWORD_EXP_MAX
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The bitmask of the largest finite exponent (129 if the largest
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exponent is used for finite numbers, 128 otherwise).
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FLT_UWORD_LOG_MAX
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The bitmask of log(FLT_MAX), rounded down. This value is the largest
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input that can be passed to exp() without producing overflow.
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FLT_UWORD_LOG_2MAX
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The bitmask of log(2*FLT_MAX), rounded down. This value is the
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largest input than can be passed to cosh() without producing
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overflow.
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FLT_LARGEST_EXP
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The largest biased exponent that can be used for finite numbers
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(255 if the largest exponent is used for finite numbers, 254
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otherwise) */
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#ifdef _FLT_LARGEST_EXPONENT_IS_NORMAL
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#define FLT_UWORD_IS_FINITE(x) 1
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#define FLT_UWORD_IS_NAN(x) 0
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#define FLT_UWORD_IS_INFINITE(x) 0
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#define FLT_UWORD_MAX 0x7fffffff
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#define FLT_UWORD_EXP_MAX 0x43010000
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#define FLT_UWORD_LOG_MAX 0x42b2d4fc
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#define FLT_UWORD_LOG_2MAX 0x42b437e0
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#define HUGE ((float)0X1.FFFFFEP128)
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#else
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#define FLT_UWORD_IS_FINITE(x) ((x)<0x7f800000L)
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#define FLT_UWORD_IS_NAN(x) ((x)>0x7f800000L)
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#define FLT_UWORD_IS_INFINITE(x) ((x)==0x7f800000L)
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#define FLT_UWORD_MAX 0x7f7fffffL
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#define FLT_UWORD_EXP_MAX 0x43000000
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#define FLT_UWORD_LOG_MAX 0x42b17217
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#define FLT_UWORD_LOG_2MAX 0x42b2d4fc
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#define HUGE ((float)3.40282346638528860e+38)
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#endif
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#define FLT_UWORD_HALF_MAX (FLT_UWORD_MAX-(1L<<23))
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#define FLT_LARGEST_EXP (FLT_UWORD_MAX>>23)
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/* Many routines check for zero and subnormal numbers. Such things depend
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on whether the target supports denormals or not:
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FLT_UWORD_IS_ZERO(X)
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True if a positive float with bitmask X is +0. Without denormals,
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any float with a zero exponent is a +0 representation. With
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denormals, the only +0 representation is a 0 bitmask.
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FLT_UWORD_IS_SUBNORMAL(X)
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True if a non-zero positive float with bitmask X is subnormal.
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(Routines should check for zeros first.)
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FLT_UWORD_MIN
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The bitmask of the smallest float above +0. Call this number
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REAL_FLT_MIN...
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FLT_UWORD_EXP_MIN
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The bitmask of the float representation of REAL_FLT_MIN's exponent.
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FLT_UWORD_LOG_MIN
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The bitmask of |log(REAL_FLT_MIN)|, rounding down.
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FLT_SMALLEST_EXP
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REAL_FLT_MIN's exponent - EXP_BIAS (1 if denormals are not supported,
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-22 if they are).
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*/
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#ifdef _FLT_NO_DENORMALS
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#define FLT_UWORD_IS_ZERO(x) ((x)<0x00800000L)
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#define FLT_UWORD_IS_SUBNORMAL(x) 0
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#define FLT_UWORD_MIN 0x00800000
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#define FLT_UWORD_EXP_MIN 0x42fc0000
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#define FLT_UWORD_LOG_MIN 0x42aeac50
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#define FLT_SMALLEST_EXP 1
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#else
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#define FLT_UWORD_IS_ZERO(x) ((x)==0)
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#define FLT_UWORD_IS_SUBNORMAL(x) ((x)<0x00800000L)
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#define FLT_UWORD_MIN 0x00000001
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#define FLT_UWORD_EXP_MIN 0x43160000
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#define FLT_UWORD_LOG_MIN 0x42cff1b5
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#define FLT_SMALLEST_EXP -22
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#endif
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#ifdef __STDC__
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#undef __P
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#define __P(p) p
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#else
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#define __P(p) ()
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#endif
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/*
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* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
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* (one may replace the following line by "#include <values.h>")
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*/
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#define X_TLOSS 1.41484755040568800000e+16
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/* Functions that are not documented, and are not in <math.h>. */
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/* Undocumented float functions. */
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#ifdef _SCALB_INT
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extern float scalbf __P((float, int));
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#else
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extern float scalbf __P((float, float));
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#endif
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extern float significandf __P((float));
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/* ieee style elementary float functions */
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extern float __ieee754_sqrtf __P((float));
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extern float __ieee754_acosf __P((float));
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extern float __ieee754_acoshf __P((float));
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extern float __ieee754_logf __P((float));
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extern float __ieee754_atanhf __P((float));
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extern float __ieee754_asinf __P((float));
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extern float __ieee754_atan2f __P((float,float));
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extern float __ieee754_expf __P((float));
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extern float __ieee754_coshf __P((float));
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extern float __ieee754_fmodf __P((float,float));
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extern float __ieee754_powf __P((float,float));
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extern float __ieee754_lgammaf_r __P((float,int *));
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extern float __ieee754_gammaf_r __P((float,int *));
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extern float __ieee754_log10f __P((float));
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extern float __ieee754_sinhf __P((float));
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extern float __ieee754_hypotf __P((float,float));
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extern float __ieee754_j0f __P((float));
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extern float __ieee754_j1f __P((float));
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extern float __ieee754_y0f __P((float));
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extern float __ieee754_y1f __P((float));
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extern float __ieee754_jnf __P((int,float));
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extern float __ieee754_ynf __P((int,float));
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extern float __ieee754_remainderf __P((float,float));
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extern __int32_t __ieee754_rem_pio2f __P((float,float*));
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#ifdef _SCALB_INT
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extern float __ieee754_scalbf __P((float,int));
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#else
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extern float __ieee754_scalbf __P((float,float));
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#endif
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/* float versions of fdlibm kernel functions */
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extern float __kernel_sinf __P((float,float,int));
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extern float __kernel_cosf __P((float,float));
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extern float __kernel_tanf __P((float,float,int));
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extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const __int32_t*));
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/* A union which permits us to convert between a float and a 32 bit
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int. */
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typedef union
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{
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float value;
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__uint32_t word;
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} ieee_float_shape_type;
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/* Get a 32 bit int from a float. */
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#define GET_FLOAT_WORD(i,d) \
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do { \
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ieee_float_shape_type gf_u; \
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gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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/* Set a float from a 32 bit int. */
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#define SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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(d) = sf_u.value; \
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} while (0)
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/* Macros to avoid undefined behaviour that can arise if the amount
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of a shift is exactly equal to the size of the shifted operand. */
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#define SAFE_LEFT_SHIFT(op,amt) \
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(((amt) < 8 * sizeof(op)) ? ((op) << (amt)) : 0)
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#define SAFE_RIGHT_SHIFT(op,amt) \
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(((amt) < 8 * sizeof(op)) ? ((op) >> (amt)) : 0)
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