mirror of
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250 lines
6.4 KiB
C++
250 lines
6.4 KiB
C++
#ifndef _LIBM_H
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#define _LIBM_H
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#include <stdint.h>
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#include <float.h>
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#include <math.h>
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#include <endian.h>
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#include "musl_features.h"
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#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
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#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint64_t m;
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uint16_t se;
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} i;
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};
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#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
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/* This is the m68k variant of 80-bit long double, and this definition only works
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* on archs where the alignment requirement of uint64_t is <= 4. */
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union ldshape {
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long double f;
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struct {
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uint16_t se;
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uint16_t pad;
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uint64_t m;
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} i;
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};
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#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint64_t lo;
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uint32_t mid;
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uint16_t top;
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uint16_t se;
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} i;
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struct {
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uint64_t lo;
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uint64_t hi;
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} i2;
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};
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#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint16_t se;
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uint16_t top;
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uint32_t mid;
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uint64_t lo;
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} i;
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struct {
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uint64_t hi;
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uint64_t lo;
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} i2;
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};
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#else
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#error Unsupported long double representation
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#endif
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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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#ifndef TOINT_INTRINSICS
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#define TOINT_INTRINSICS 0
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#endif
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#if TOINT_INTRINSICS
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/* Round x to nearest int in all rounding modes, ties have to be rounded
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consistently with converttoint so the results match. If the result
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would be outside of [-2^31, 2^31-1] then the semantics is unspecified. */
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static double_t roundtoint(double_t);
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/* Convert x to nearest int in all rounding modes, ties have to be rounded
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consistently with roundtoint. If the result is not representible in an
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int32_t then the semantics is unspecified. */
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static int32_t converttoint(double_t);
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#endif
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/* Helps static branch prediction so hot path can be better optimized. */
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#ifdef __GNUC__
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#define predict_true(x) __builtin_expect(!!(x), 1)
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#define predict_false(x) __builtin_expect(x, 0)
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#else
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#define predict_true(x) (x)
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#define predict_false(x) (x)
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#endif
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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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#define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
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#define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
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#define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
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#define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f
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#define EXTRACT_WORDS(hi,lo,d) \
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do { \
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uint64_t __u = asuint64(d); \
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(hi) = __u >> 32; \
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(lo) = (uint32_t)__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) = (uint32_t)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(((uint64_t)(hi)<<32) | (uint32_t)(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, (uint32_t)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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extern int __signgam;
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hidden double __lgamma_r(double, int *);
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hidden float __lgammaf_r(float, int *);
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/* error handling functions */
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hidden float __math_xflowf(uint32_t, float);
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hidden float __math_uflowf(uint32_t);
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hidden float __math_oflowf(uint32_t);
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hidden float __math_divzerof(uint32_t);
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hidden float __math_invalidf(float);
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hidden double __math_xflow(uint32_t, double);
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hidden double __math_uflow(uint32_t);
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hidden double __math_oflow(uint32_t);
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hidden double __math_divzero(uint32_t);
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hidden double __math_invalid(double);
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#endif
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