+
+/* @(#)fdlibm.h 5.1 93/09/24 */
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/* AltOS local */
+#include <math.h>
+#include <stdint.h>
+#define __int32_t int32_t
+#define __uint32_t uint32_t
+
+#define __ieee754_acosf acosf
+#define __ieee754_sqrtf sqrtf
+
+/* REDHAT LOCAL: Include files. */
+#include <math.h>
+/* #include <sys/types.h> */
+#include <machine/ieeefp.h>
+
+/* REDHAT LOCAL: Default to XOPEN_MODE. */
+#define _XOPEN_MODE
+
+/* Most routines need to check whether a float is finite, infinite, or not a
+ number, and many need to know whether the result of an operation will
+ overflow. These conditions depend on whether the largest exponent is
+ used for NaNs & infinities, or whether it's used for finite numbers. The
+ macros below wrap up that kind of information:
+
+ FLT_UWORD_IS_FINITE(X)
+ True if a positive float with bitmask X is finite.
+
+ FLT_UWORD_IS_NAN(X)
+ True if a positive float with bitmask X is not a number.
+
+ FLT_UWORD_IS_INFINITE(X)
+ True if a positive float with bitmask X is +infinity.
+
+ FLT_UWORD_MAX
+ The bitmask of FLT_MAX.
+
+ FLT_UWORD_HALF_MAX
+ The bitmask of FLT_MAX/2.
+
+ FLT_UWORD_EXP_MAX
+ The bitmask of the largest finite exponent (129 if the largest
+ exponent is used for finite numbers, 128 otherwise).
+
+ FLT_UWORD_LOG_MAX
+ The bitmask of log(FLT_MAX), rounded down. This value is the largest
+ input that can be passed to exp() without producing overflow.
+
+ FLT_UWORD_LOG_2MAX
+ The bitmask of log(2*FLT_MAX), rounded down. This value is the
+ largest input than can be passed to cosh() without producing
+ overflow.
+
+ FLT_LARGEST_EXP
+ The largest biased exponent that can be used for finite numbers
+ (255 if the largest exponent is used for finite numbers, 254
+ otherwise) */
+
+#ifdef _FLT_LARGEST_EXPONENT_IS_NORMAL
+#define FLT_UWORD_IS_FINITE(x) 1
+#define FLT_UWORD_IS_NAN(x) 0
+#define FLT_UWORD_IS_INFINITE(x) 0
+#define FLT_UWORD_MAX 0x7fffffff
+#define FLT_UWORD_EXP_MAX 0x43010000
+#define FLT_UWORD_LOG_MAX 0x42b2d4fc
+#define FLT_UWORD_LOG_2MAX 0x42b437e0
+#define HUGE ((float)0X1.FFFFFEP128)
+#else
+#define FLT_UWORD_IS_FINITE(x) ((x)<0x7f800000L)
+#define FLT_UWORD_IS_NAN(x) ((x)>0x7f800000L)
+#define FLT_UWORD_IS_INFINITE(x) ((x)==0x7f800000L)
+#define FLT_UWORD_MAX 0x7f7fffffL
+#define FLT_UWORD_EXP_MAX 0x43000000
+#define FLT_UWORD_LOG_MAX 0x42b17217
+#define FLT_UWORD_LOG_2MAX 0x42b2d4fc
+#define HUGE ((float)3.40282346638528860e+38)
+#endif
+#define FLT_UWORD_HALF_MAX (FLT_UWORD_MAX-(1L<<23))
+#define FLT_LARGEST_EXP (FLT_UWORD_MAX>>23)
+
+/* Many routines check for zero and subnormal numbers. Such things depend
+ on whether the target supports denormals or not:
+
+ FLT_UWORD_IS_ZERO(X)
+ True if a positive float with bitmask X is +0. Without denormals,
+ any float with a zero exponent is a +0 representation. With
+ denormals, the only +0 representation is a 0 bitmask.
+
+ FLT_UWORD_IS_SUBNORMAL(X)
+ True if a non-zero positive float with bitmask X is subnormal.
+ (Routines should check for zeros first.)
+
+ FLT_UWORD_MIN
+ The bitmask of the smallest float above +0. Call this number
+ REAL_FLT_MIN...
+
+ FLT_UWORD_EXP_MIN
+ The bitmask of the float representation of REAL_FLT_MIN's exponent.
+
+ FLT_UWORD_LOG_MIN
+ The bitmask of |log(REAL_FLT_MIN)|, rounding down.
+
+ FLT_SMALLEST_EXP
+ REAL_FLT_MIN's exponent - EXP_BIAS (1 if denormals are not supported,
+ -22 if they are).
+*/
+
+#ifdef _FLT_NO_DENORMALS
+#define FLT_UWORD_IS_ZERO(x) ((x)<0x00800000L)
+#define FLT_UWORD_IS_SUBNORMAL(x) 0
+#define FLT_UWORD_MIN 0x00800000
+#define FLT_UWORD_EXP_MIN 0x42fc0000
+#define FLT_UWORD_LOG_MIN 0x42aeac50
+#define FLT_SMALLEST_EXP 1
+#else
+#define FLT_UWORD_IS_ZERO(x) ((x)==0)
+#define FLT_UWORD_IS_SUBNORMAL(x) ((x)<0x00800000L)
+#define FLT_UWORD_MIN 0x00000001
+#define FLT_UWORD_EXP_MIN 0x43160000
+#define FLT_UWORD_LOG_MIN 0x42cff1b5
+#define FLT_SMALLEST_EXP -22
+#endif
+
+#ifdef __STDC__
+#undef __P
+#define __P(p) p
+#else
+#define __P(p) ()
+#endif
+
+/*
+ * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
+ * (one may replace the following line by "#include <values.h>")
+ */
+
+#define X_TLOSS 1.41484755040568800000e+16
+
+/* Functions that are not documented, and are not in <math.h>. */
+
+#ifdef _SCALB_INT
+extern double scalb __P((double, int));
+#else
+extern double scalb __P((double, double));
+#endif
+extern double significand __P((double));
+
+/* ieee style elementary functions */
+extern double __ieee754_sqrt __P((double));
+extern double __ieee754_acos __P((double));
+extern double __ieee754_acosh __P((double));
+extern double __ieee754_log __P((double));
+extern double __ieee754_atanh __P((double));
+extern double __ieee754_asin __P((double));
+extern double __ieee754_atan2 __P((double,double));
+extern double __ieee754_exp __P((double));
+extern double __ieee754_cosh __P((double));
+extern double __ieee754_fmod __P((double,double));
+extern double __ieee754_pow __P((double,double));
+extern double __ieee754_lgamma_r __P((double,int *));
+extern double __ieee754_gamma_r __P((double,int *));
+extern double __ieee754_log10 __P((double));
+extern double __ieee754_sinh __P((double));
+extern double __ieee754_hypot __P((double,double));
+extern double __ieee754_j0 __P((double));
+extern double __ieee754_j1 __P((double));
+extern double __ieee754_y0 __P((double));
+extern double __ieee754_y1 __P((double));
+extern double __ieee754_jn __P((int,double));
+extern double __ieee754_yn __P((int,double));
+extern double __ieee754_remainder __P((double,double));
+extern __int32_t __ieee754_rem_pio2 __P((double,double*));
+#ifdef _SCALB_INT
+extern double __ieee754_scalb __P((double,int));
+#else
+extern double __ieee754_scalb __P((double,double));
+#endif
+
+/* fdlibm kernel function */
+extern double __kernel_standard __P((double,double,int));
+extern double __kernel_sin __P((double,double,int));
+extern double __kernel_cos __P((double,double));
+extern double __kernel_tan __P((double,double,int));
+extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const __int32_t*));
+
+/* Undocumented float functions. */
+#ifdef _SCALB_INT
+extern float scalbf __P((float, int));
+#else
+extern float scalbf __P((float, float));
+#endif
+extern float significandf __P((float));
+
+/* ieee style elementary float functions */
+extern float __ieee754_sqrtf __P((float));
+extern float __ieee754_acosf __P((float));
+extern float __ieee754_acoshf __P((float));
+extern float __ieee754_logf __P((float));
+extern float __ieee754_atanhf __P((float));
+extern float __ieee754_asinf __P((float));
+extern float __ieee754_atan2f __P((float,float));
+extern float __ieee754_expf __P((float));
+extern float __ieee754_coshf __P((float));
+extern float __ieee754_fmodf __P((float,float));
+extern float __ieee754_powf __P((float,float));
+extern float __ieee754_lgammaf_r __P((float,int *));
+extern float __ieee754_gammaf_r __P((float,int *));
+extern float __ieee754_log10f __P((float));
+extern float __ieee754_sinhf __P((float));
+extern float __ieee754_hypotf __P((float,float));
+extern float __ieee754_j0f __P((float));
+extern float __ieee754_j1f __P((float));
+extern float __ieee754_y0f __P((float));
+extern float __ieee754_y1f __P((float));
+extern float __ieee754_jnf __P((int,float));
+extern float __ieee754_ynf __P((int,float));
+extern float __ieee754_remainderf __P((float,float));
+extern __int32_t __ieee754_rem_pio2f __P((float,float*));
+#ifdef _SCALB_INT
+extern float __ieee754_scalbf __P((float,int));
+#else
+extern float __ieee754_scalbf __P((float,float));
+#endif
+
+/* float versions of fdlibm kernel functions */
+extern float __kernel_sinf __P((float,float,int));
+extern float __kernel_cosf __P((float,float));
+extern float __kernel_tanf __P((float,float,int));
+extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const __int32_t*));
+
+/* The original 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. */
+
+#ifndef __IEEE_BIG_ENDIAN
+#ifndef __IEEE_LITTLE_ENDIAN
+ #error Must define endianness
+#endif
+#endif
+
+/* A union which permits us to convert between a double and two 32 bit
+ ints. */
+
+#ifdef __IEEE_BIG_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ __uint32_t msw;
+ __uint32_t lsw;
+ } parts;
+} ieee_double_shape_type;
+
+#endif
+
+#ifdef __IEEE_LITTLE_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ __uint32_t lsw;
+ __uint32_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;
+ __uint32_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)
+
+/* Macros to avoid undefined behaviour that can arise if the amount
+ of a shift is exactly equal to the size of the shifted operand. */
+
+#define SAFE_LEFT_SHIFT(op,amt) \
+ (((amt) < 8 * sizeof(op)) ? ((op) << (amt)) : 0)
+
+#define SAFE_RIGHT_SHIFT(op,amt) \
+ (((amt) < 8 * sizeof(op)) ? ((op) >> (amt)) : 0)
+
+#ifdef _COMPLEX_H
+
+/*
+ * Quoting from ISO/IEC 9899:TC2:
+ *
+ * 6.2.5.13 Types
+ * Each complex type has the same representation and alignment requirements as
+ * an array type containing exactly two elements of the corresponding real type;
+ * the first element is equal to the real part, and the second element to the
+ * imaginary part, of the complex number.
+ */
+typedef union {
+ float complex z;
+ float parts[2];
+} float_complex;
+
+typedef union {
+ double complex z;
+ double parts[2];
+} double_complex;
+
+typedef union {
+ long double complex z;
+ long double parts[2];
+} long_double_complex;
+
+#define REAL_PART(z) ((z).parts[0])
+#define IMAG_PART(z) ((z).parts[1])
+
+#endif /* _COMPLEX_H */
+