/* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 * $FreeBSD$ */ #ifndef _MATH_PRIVATE_H_ #define _MATH_PRIVATE_H_ #include #include /* * The original fdlibm code used statements like: * n0 = ((*(int*)&one)>>29)^1; * index of high word * * ix0 = *(n0+(int*)&x); * high word of x * * ix1 = *((1-n0)+(int*)&x); * low word of x * * to dig two 32 bit words out of the 64 bit IEEE floating point * value. That is non-ANSI, and, moreover, the gcc instruction * scheduler gets it wrong. We instead use the following macros. * Unlike the original code, we determine the endianness at compile * time, not at run time; I don't see much benefit to selecting * endianness at run time. */ /* * A union which permits us to convert between a double and two 32 bit * ints. */ #ifdef __arm__ #if defined(__VFP_FP__) #define IEEE_WORD_ORDER BYTE_ORDER #else #define IEEE_WORD_ORDER BIG_ENDIAN #endif #else /* __arm__ */ #define IEEE_WORD_ORDER BYTE_ORDER #endif #if IEEE_WORD_ORDER == BIG_ENDIAN typedef union { double value; struct { u_int32_t msw; u_int32_t lsw; } parts; struct { u_int64_t w; } xparts; } ieee_double_shape_type; #endif #if IEEE_WORD_ORDER == LITTLE_ENDIAN typedef union { double value; struct { u_int32_t lsw; u_int32_t msw; } parts; struct { u_int64_t w; } xparts; } ieee_double_shape_type; #endif /* Get two 32 bit ints from a double. */ #define EXTRACT_WORDS(ix0,ix1,d) \ do { \ ieee_double_shape_type ew_u; \ ew_u.value = (d); \ (ix0) = ew_u.parts.msw; \ (ix1) = ew_u.parts.lsw; \ } while (0) /* Get a 64-bit int from a double. */ #define EXTRACT_WORD64(ix,d) \ do { \ ieee_double_shape_type ew_u; \ ew_u.value = (d); \ (ix) = ew_u.xparts.w; \ } while (0) /* Get the more significant 32 bit int from a double. */ #define GET_HIGH_WORD(i,d) \ do { \ ieee_double_shape_type gh_u; \ gh_u.value = (d); \ (i) = gh_u.parts.msw; \ } while (0) /* Get the less significant 32 bit int from a double. */ #define GET_LOW_WORD(i,d) \ do { \ ieee_double_shape_type gl_u; \ gl_u.value = (d); \ (i) = gl_u.parts.lsw; \ } while (0) /* Set a double from two 32 bit ints. */ #define INSERT_WORDS(d,ix0,ix1) \ do { \ ieee_double_shape_type iw_u; \ iw_u.parts.msw = (ix0); \ iw_u.parts.lsw = (ix1); \ (d) = iw_u.value; \ } while (0) /* Set a double from a 64-bit int. */ #define INSERT_WORD64(d,ix) \ do { \ ieee_double_shape_type iw_u; \ iw_u.xparts.w = (ix); \ (d) = iw_u.value; \ } while (0) /* Set the more significant 32 bits of a double from an int. */ #define SET_HIGH_WORD(d,v) \ do { \ ieee_double_shape_type sh_u; \ sh_u.value = (d); \ sh_u.parts.msw = (v); \ (d) = sh_u.value; \ } while (0) /* Set the less significant 32 bits of a double from an int. */ #define SET_LOW_WORD(d,v) \ do { \ ieee_double_shape_type sl_u; \ sl_u.value = (d); \ sl_u.parts.lsw = (v); \ (d) = sl_u.value; \ } while (0) /* * A union which permits us to convert between a float and a 32 bit * int. */ typedef union { float value; /* FIXME: Assumes 32 bit int. */ unsigned int word; } ieee_float_shape_type; /* Get a 32 bit int from a float. */ #define GET_FLOAT_WORD(i,d) \ do { \ ieee_float_shape_type gf_u; \ gf_u.value = (d); \ (i) = gf_u.word; \ } while (0) /* Set a float from a 32 bit int. */ #define SET_FLOAT_WORD(d,i) \ do { \ ieee_float_shape_type sf_u; \ sf_u.word = (i); \ (d) = sf_u.value; \ } while (0) #ifdef FLT_EVAL_METHOD /* * Attempt to get strict C99 semantics for assignment with non-C99 compilers. */ #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) #else #define STRICT_ASSIGN(type, lval, rval) do { \ volatile type __lval; \ \ if (sizeof(type) >= sizeof(double)) \ (lval) = (rval); \ else { \ __lval = (rval); \ (lval) = __lval; \ } \ } while (0) #endif #endif /* * Common routine to process the arguments to nan(), nanf(), and nanl(). */ void _scan_nan(uint32_t *__words, int __num_words, const char *__s); #ifdef _COMPLEX_H /* * C99 specifies that complex numbers have the same representation as * an array of two elements, where the first element is the real part * and the second element is the imaginary part. */ typedef union { float complex f; float a[2]; } float_complex; typedef union { double complex f; double a[2]; } double_complex; typedef union { long double complex f; long double a[2]; } long_double_complex; #define REALPART(z) ((z).a[0]) #define IMAGPART(z) ((z).a[1]) /* * Inline functions that can be used to construct complex values. * * The C99 standard intends x+I*y to be used for this, but x+I*y is * currently unusable in general since gcc introduces many overflow, * underflow, sign and efficiency bugs by rewriting I*y as * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product. * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted * to -0.0+I*0.0. */ static __inline float complex cpackf(float x, float y) { float_complex z; REALPART(z) = x; IMAGPART(z) = y; return (z.f); } static __inline double complex cpack(double x, double y) { double_complex z; REALPART(z) = x; IMAGPART(z) = y; return (z.f); } static __inline long double complex cpackl(long double x, long double y) { long_double_complex z; REALPART(z) = x; IMAGPART(z) = y; return (z.f); } #endif /* _COMPLEX_H */ #ifdef __GNUCLIKE_ASM /* Asm versions of some functions. */ #ifdef __amd64__ static __inline int irint(double x) { int n; asm("cvtsd2si %1,%0" : "=r" (n) : "x" (x)); return (n); } #define HAVE_EFFICIENT_IRINT #endif #ifdef __i386__ static __inline int irint(double x) { int n; asm("fistl %0" : "=m" (n) : "t" (x)); return (n); } #define HAVE_EFFICIENT_IRINT #endif #endif /* __GNUCLIKE_ASM */ /* * ieee style elementary functions * * We rename functions here to improve other sources' diffability * against fdlibm. */ #define __ieee754_sqrt sqrt #define __ieee754_acos acos #define __ieee754_acosh acosh #define __ieee754_log log #define __ieee754_log2 log2 #define __ieee754_atanh atanh #define __ieee754_asin asin #define __ieee754_atan2 atan2 #define __ieee754_exp exp #define __ieee754_cosh cosh #define __ieee754_fmod fmod #define __ieee754_pow pow #define __ieee754_lgamma lgamma #define __ieee754_gamma gamma #define __ieee754_lgamma_r lgamma_r #define __ieee754_gamma_r gamma_r #define __ieee754_log10 log10 #define __ieee754_sinh sinh #define __ieee754_hypot hypot #define __ieee754_j0 j0 #define __ieee754_j1 j1 #define __ieee754_y0 y0 #define __ieee754_y1 y1 #define __ieee754_jn jn #define __ieee754_yn yn #define __ieee754_remainder remainder #define __ieee754_scalb scalb #define __ieee754_sqrtf sqrtf #define __ieee754_acosf acosf #define __ieee754_acoshf acoshf #define __ieee754_logf logf #define __ieee754_atanhf atanhf #define __ieee754_asinf asinf #define __ieee754_atan2f atan2f #define __ieee754_expf expf #define __ieee754_coshf coshf #define __ieee754_fmodf fmodf #define __ieee754_powf powf #define __ieee754_lgammaf lgammaf #define __ieee754_gammaf gammaf #define __ieee754_lgammaf_r lgammaf_r #define __ieee754_gammaf_r gammaf_r #define __ieee754_log10f log10f #define __ieee754_log2f log2f #define __ieee754_sinhf sinhf #define __ieee754_hypotf hypotf #define __ieee754_j0f j0f #define __ieee754_j1f j1f #define __ieee754_y0f y0f #define __ieee754_y1f y1f #define __ieee754_jnf jnf #define __ieee754_ynf ynf #define __ieee754_remainderf remainderf #define __ieee754_scalbf scalbf /* fdlibm kernel function */ int __kernel_rem_pio2(double*,double*,int,int,int); /* double precision kernel functions */ #ifndef INLINE_REM_PIO2 int __ieee754_rem_pio2(double,double*); #endif double __kernel_sin(double,double,int); double __kernel_cos(double,double); double __kernel_tan(double,double,int); /* float precision kernel functions */ #ifndef INLINE_REM_PIO2F int __ieee754_rem_pio2f(float,double*); #endif #ifndef INLINE_KERNEL_SINDF float __kernel_sindf(double); #endif #ifndef INLINE_KERNEL_COSDF float __kernel_cosdf(double); #endif #ifndef INLINE_KERNEL_TANDF float __kernel_tandf(double,int); #endif /* long double precision kernel functions */ long double __kernel_sinl(long double, long double, int); long double __kernel_cosl(long double, long double); long double __kernel_tanl(long double, long double, int); #endif /* !_MATH_PRIVATE_H_ */