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- /*
- * ====================================================
- * 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.
- * ====================================================
- */
- #ifndef _MATH_PRIVATE_H_
- #define _MATH_PRIVATE_H_
- #include <endian.h>
- #include <sys/types.h>
- /* 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. */
- /*
- * Math on arm is special (read: stupid):
- * For FPA, float words are always big-endian.
- * For VFP, float words follow the memory system mode.
- * For Maverick, float words are always little-endian.
- */
- #if !defined(__MAVERICK__) && ((__BYTE_ORDER == __BIG_ENDIAN) || \
- (!defined(__VFP_FP__) && (defined(__arm__) || defined(__thumb__))))
- typedef union
- {
- double value;
- struct
- {
- u_int32_t msw;
- u_int32_t lsw;
- } parts;
- } ieee_double_shape_type;
- #else
- typedef union
- {
- double value;
- struct
- {
- u_int32_t lsw;
- u_int32_t msw;
- } parts;
- } 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 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 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;
- u_int32_t 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)
- /* ieee style elementary functions */
- extern double __ieee754_sqrt (double) attribute_hidden;
- extern double __ieee754_acos (double) attribute_hidden;
- extern double __ieee754_acosh (double) attribute_hidden;
- extern double __ieee754_log (double) attribute_hidden;
- extern double __ieee754_log2 (double) attribute_hidden;
- extern double __ieee754_atanh (double) attribute_hidden;
- extern double __ieee754_asin (double) attribute_hidden;
- extern double __ieee754_atan2 (double,double) attribute_hidden;
- extern double __ieee754_exp (double) attribute_hidden;
- extern double __ieee754_cosh (double) attribute_hidden;
- extern double __ieee754_fmod (double,double) attribute_hidden;
- extern double __ieee754_pow (double,double) attribute_hidden;
- extern double __ieee754_lgamma_r (double,int *) attribute_hidden;
- /*extern double __ieee754_gamma_r (double,int *) attribute_hidden;*/
- extern double __ieee754_lgamma (double) attribute_hidden;
- /*extern double __ieee754_gamma (double) attribute_hidden;*/
- extern double __ieee754_log10 (double) attribute_hidden;
- extern double __ieee754_sinh (double) attribute_hidden;
- extern double __ieee754_hypot (double,double) attribute_hidden;
- extern double __ieee754_j0 (double) attribute_hidden;
- extern double __ieee754_j1 (double) attribute_hidden;
- extern double __ieee754_y0 (double) attribute_hidden;
- extern double __ieee754_y1 (double) attribute_hidden;
- extern double __ieee754_jn (int,double) attribute_hidden;
- extern double __ieee754_yn (int,double) attribute_hidden;
- extern double __ieee754_remainder (double,double) attribute_hidden;
- extern int __ieee754_rem_pio2 (double,double*) attribute_hidden;
- extern double __ieee754_scalb (double,double) attribute_hidden;
- /* fdlibm kernel function */
- #ifndef _IEEE_LIBM
- extern double __kernel_standard (double,double,int) attribute_hidden;
- #endif
- extern double __kernel_sin (double,double,int) attribute_hidden;
- extern double __kernel_cos (double,double) attribute_hidden;
- extern double __kernel_tan (double,double,int) attribute_hidden;
- extern int __kernel_rem_pio2 (double*,double*,int,int,int,const int*) attribute_hidden;
- /*
- * math_opt_barrier(x): safely load x, even if it was manipulated
- * by non-floationg point operations. This macro returns the value of x.
- * This ensures compiler does not (ab)use its knowledge about x value
- * and don't optimize future operations. Example:
- * float x;
- * SET_FLOAT_WORD(x, 0x80000001); // sets a bit pattern
- * y = math_opt_barrier(x); // "compiler, do not cheat!"
- * y = y * y; // compiler can't optimize, must use real multiply insn
- *
- * math_force_eval(x): force expression x to be evaluated.
- * Useful if otherwise compiler may eliminate the expression
- * as unused. This macro returns no value.
- * Example: "void fn(float f) { f = f * f; }"
- * versus "void fn(float f) { f = f * f; math_force_eval(f); }"
- *
- * Currently, math_force_eval(x) stores x into
- * a floating point register or memory *of the appropriate size*.
- * There is no guarantee this will not change.
- */
- #if defined(__i386__)
- #define math_opt_barrier(x) ({ \
- __typeof(x) __x = (x); \
- /* "t": load x into top-of-stack fpreg */ \
- __asm__ ("" : "=t" (__x) : "0" (__x)); \
- __x; \
- })
- #define math_force_eval(x) do { \
- __typeof(x) __x = (x); \
- if (sizeof(__x) <= sizeof(double)) \
- /* "m": store x into a memory location */ \
- __asm__ __volatile__ ("" : : "m" (__x)); \
- else /* long double */ \
- /* "f": load x into (any) fpreg */ \
- __asm__ __volatile__ ("" : : "f" (__x)); \
- } while (0)
- #endif
- #if defined(__x86_64__)
- #define math_opt_barrier(x) ({ \
- __typeof(x) __x = (x); \
- if (sizeof(__x) <= sizeof(double)) \
- /* "x": load into XMM SSE register */ \
- __asm__ ("" : "=x" (__x) : "0" (__x)); \
- else /* long double */ \
- /* "t": load x into top-of-stack fpreg */ \
- __asm__ ("" : "=t" (__x) : "0" (__x)); \
- __x; \
- })
- #define math_force_eval(x) do { \
- __typeof(x) __x = (x); \
- if (sizeof(__x) <= sizeof(double)) \
- /* "x": load into XMM SSE register */ \
- __asm__ __volatile__ ("" : : "x" (__x)); \
- else /* long double */ \
- /* "f": load x into (any) fpreg */ \
- __asm__ __volatile__ ("" : : "f" (__x)); \
- } while (0)
- #endif
- /* Default implementations force store to a memory location */
- #ifndef math_opt_barrier
- #define math_opt_barrier(x) ({ __typeof(x) __x = (x); __asm__ ("" : "+m" (__x)); __x; })
- #endif
- #ifndef math_force_eval
- #define math_force_eval(x) do { __typeof(x) __x = (x); __asm__ __volatile__ ("" : : "m" (__x)); } while (0)
- #endif
- #endif /* _MATH_PRIVATE_H_ */
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