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-/** @file
- Floating-point Math functions and macros.
-
- Copyright (c) 2010 - 2011, Intel Corporation. All rights reserved.<BR>
- This program and the accompanying materials are licensed and made available under
- the terms and conditions of the BSD License that accompanies this distribution.
- The full text of the license may be found at
- http://opensource.org/licenses/bsd-license.
-
- THE PROGRAM IS DISTRIBUTED UNDER THE BSD LICENSE ON AN "AS IS" BASIS,
- WITHOUT WARRANTIES OR REPRESENTATIONS OF ANY KIND, EITHER EXPRESS OR IMPLIED.
-
- * ====================================================
- * 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.
- * ====================================================
-
- NetBSD: math.h,v 1.44 2006/03/25 16:41:11 xtraeme Exp
- dlibm.h 5.1 93/09/24
-**/
-#ifndef _MATH_H_
-#define _MATH_H_
-
-#include <sys/EfiCdefs.h>
-#include <sys/featuretest.h>
-
-/** @{
- @brief These are forward references to unions and macros used internaly
- by the implementation of the math functions and macros.
-**/
-union __float_u {
- unsigned char __dummy[sizeof(float)];
- float __val;
-};
-
-union __double_u {
- unsigned char __dummy[sizeof(double)];
- double __val;
-};
-
-union __long_double_u {
- unsigned char __dummy[sizeof(long double)];
- long double __val;
-};
-
-#include <machine/math.h> /* may use __float_u, __double_u, or __long_double_u */
-
-#ifdef __HAVE_LONG_DOUBLE
-#define __fpmacro_unary_floating(__name, __arg0) \
- /* LINTED */ \
- ((sizeof (__arg0) == sizeof (float)) \
- ? __ ## __name ## f (__arg0) \
- : (sizeof (__arg0) == sizeof (double)) \
- ? __ ## __name ## d (__arg0) \
- : __ ## __name ## l (__arg0))
-#else
-#define __fpmacro_unary_floating(__name, __arg0) \
- /* LINTED */ \
- ((sizeof (__arg0) == sizeof (float)) \
- ? __ ## __name ## f (__arg0) \
- : __ ## __name ## d (__arg0))
-#endif /* __HAVE_LONG_DOUBLE */
-
-extern const union __double_u __infinity;
-extern const union __float_u __infinityf;
-extern const union __long_double_u __infinityl;
-
-/* C99 7.12.3.1 int fpclassify(real-floating x) */
-#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
-
-/* C99 7.12.3.3 int isinf(real-floating x) */
-#ifdef __isinf
- #define isinf(__x) __isinf(__x)
-#else
- #define isinf(__x) __fpmacro_unary_floating(isinf, __x)
-#endif
-
-/* C99 7.12.3.4 int isnan(real-floating x) */
-#ifdef __isnan
- #define isnan(__x) __isnan(__x)
-#else
- #define isnan(__x) __fpmacro_unary_floating(isnan, __x)
-#endif
-/*@)*/
-
-/*#############################################################
- * ISO C95
- */
-
-/**@{
- Double, float, and long double versions, respectively, of HUGE_VAL.
-*/
-#define HUGE_VAL __infinity.__val
-#define HUGE_VALF __infinityf.__val
-#define HUGE_VALL __infinityl.__val
-/*@)*/
-
-__BEGIN_DECLS
-/*
- * ANSI/POSIX
- */
-/** Compute the principal value of the arc cosine of Arg.
-
- @param[in] Arg The value to compute the arc cosine of.
-
- @return The computed value of the arc cosine of Arg in the interval [0,pi] radians.
- If Arg is not in the interval [-1,+1], errno is set to EDOM.
-**/
-double acos(double Arg);
-
-/** Compute the principal value of the arc sine of Arg.
-
- @param[in] Arg The value to compute the arc sine of.
-
- @return The computed value of the arc sine of Arg in the interval [-pi/2,+pi/2] radians.
- If Arg is not in the interval [-1,+1], errno is set to EDOM.
-**/
-double asin(double Arg);
-
-/** Compute the principal value of the arc tangent of Arg.
-
- @param[in] Arg The value to compute the arc tangent of.
-
- @return The computed value of the arc tangent of Arg in the interval [-pi/2,+pi/2] radians.
-**/
-double atan(double Arg);
-
-/** Compute the value of the arc tangent of (Num / Denom).
- The sign of both arguments is used to determine the quadrant of the return value.
-
- @param[in] Num The numerator of the value to compute the arc tangent of.
- @param[in] Denom The denominator of the value to compute the arc tangent of.
-
- @return The computed value of the arc tangent of (Num / Denom) in the interval [-pi,+pi] radians.
-**/
-double atan2(double Num, double Denom);
-
-/** Compute the value of the cosine of Arg, measured in radians.
-
- @param[in] Arg The value to compute the cosine of.
-
- @return The computed value of the cosine of Arg.
-**/
-double cos(double Arg);
-
-/** Compute the value of the sine of Arg.
-
- @param[in] Arg The value to compute the sine of.
-
- @return The computed value of the sine of Arg.
-**/
-double sin(double Arg);
-
-/** Compute the value of the tangent of Arg.
-
- @param[in] Arg The value to compute the tangent of.
-
- @return The computed value of the tangent of Arg.
-**/
-double tan(double Arg);
-
-
-/** Compute the value of the hyperbolic cosine of Arg.
-
- @param[in] Arg The value to compute the hyperbolic cosine of.
-
- @return The computed value of the hyperbolic cosine of Arg.
- If the magnitude of Arg is too large, errno is set to ERANGE.
-**/
-double cosh(double Arg);
-
-/** Compute the value of the hyperbolic sine of Arg.
-
- @param[in] Arg The value to compute the hyperbolic sine of.
-
- @return The computed value of the hyperbolic sine of Arg.
- If the magnitude of Arg is too large, errno is set to ERANGE.
-**/
-double sinh(double Arg);
-
-/** Compute the value of the hyperbolic tangent of Arg.
-
- @param[in] Arg The value to compute the hyperbolic tangent of.
-
- @return The computed value of the hyperbolic tangent of Arg.
-**/
-double tanh(double Arg);
-
-
-/** Compute the base-e exponential of Arg.
-
- @param[in] Arg The value to compute the base-e exponential of.
-
- @return The computed value of e**Arg.
- If the magnitude of Arg is too large, errno is set to ERANGE.
-**/
-double exp(double Arg);
-
-/** Break a floating-point number into a normalized fraction and an integral power of 2.
-
- @param[in] Value The floating-point value to be broken down.
- @param[out] Exp A pointer to an integer object to receive the integral power of 2 exponent.
-
- @return The frexp function returns a value R, such that Value == R**Exp.
- If Value is zero, both parts of the result are zero.
-**/
-double frexp(double Value, int *Exp);
-
-/** Multiply a floating-point number, Value, by an integral power of 2, Exp.
-
- @param[in] Value The floating-point value to be multiplied.
- @param[out] Exp The integral power of 2 to multiply Value by.
-
- @return The ldexp function returns a value R, such that R = Value x 2**Exp.
- If a range error occurs, errno will be set to ERANGE.
-**/
-double ldexp(double Value, int Exp);
-
-/** Compute the natural logarithm of Arg.
-
- @param[in] Arg The value to compute the natural logarithm of.
-
- @return The log function returns log base-e of Arg. If Arg is negative, errno is set to EDOM.
- Otherwise, errno will be set to ERANGE if a range error occurs.
-**/
-double log(double Arg);
-
-/** Compute the common (base-10) logarithm of Arg.
-
- @param[in] Arg The value to compute the common logarithm of.
-
- @return The log10 function returns log base-10 of Arg. If Arg is negative, errno is set to EDOM.
- Otherwise, errno will be set to ERANGE if Arg is 0.
-**/
-double log10(double Arg);
-
-/** Compute the base-2 logarithm of Arg.
-
- @param[in] Arg The value to compute the base-2 logarithm of.
-
- @return The log function returns log base-2 of Arg. If Arg is negative, errno is set to EDOM.
- Otherwise, errno will be set to ERANGE if Arg is 0.
-**/
-double log2(double Arg);
-
-/** Break Value into integral and fractional parts, each of which has the same type and sign
- as Value. Store the integral part in the object pointed to by Integ and return the
- fractional part.
-
- @param[in] Value The value to compute the arc cosine of.
- @param[out] Integ Pointer to where the integral component is to be stored.
-
- @return The fractional part of Value is returned directly while the integral part is
- returned in the location pointed to by Integ.
-**/
-double modf(double Value, double *Integ);
-
-/** Compute Value raised to the power Exp.
-
- @param[in] Value The value to be raised.
- @param[in] Exp The power Value is to be raised to.
-
- @return The pow function returns Value**Exp. If an error occurs, errno will be set as follows:
- - EDOM: Value is finite and negative and Exp is finite and not an integer.
- - EDOM: Both Value and Exp are zero.
- - EDOM: Value is zero and Exp is less than zero.
-**/
-double pow(double Value, double Exp);
-
-/** Compute the non-negative square root of Arg.
-
- @param[in] Arg The value to compute the square root of.
-
- @return The square root of Arg. If Arg is less than zero, errno is set to EDOM.
-**/
-double sqrt(double Arg);
-
-
-/** Compute the smallest integer value not less than Arg.
-
- @param[in] Arg The value to compute the ceiling of.
-
- @return The ceiling of Arg expressed as a floating-point number.
-**/
-double ceil(double Arg);
-
-/** Compute the absolute value of Arg.
-
- @param[in] Arg The value to compute the absolute value of.
-
- @return The absolute value of Arg.
-**/
-double fabs(double Arg);
-
-/** Compute the largest integer value not greater than Arg.
-
- @param[in] Arg The value to compute the floor of.
-
- @return The largest integer value not greater than Arg, expressed as a floating-point number.
-**/
-double floor(double);
-
-/** Compute the floating-point remainder of A1 / A2.
-
- @param[in] A1 The dividend.
- @param[in] A2 The divisor.
-
- @return The remainder of A1 / A2 with the same sign as A1. If A2 is zero, the fmod function
- returns 0.
-**/
-double fmod(double A1, double A2);
-
-
-int finite(double);
-double expm1(double);
-
-/**@{
- C99, Posix, or NetBSD functions that are not part of the C95 specification.
-**/
-/*
- * Functions callable from C, intended to support IEEE arithmetic.
- */
-double copysign(double, double);
-double scalbn(double, int);
-
-/*
- * Library implementation
- */
-int __fpclassifyf(float);
-int __fpclassifyd(double);
-int __isinff(float);
-int __isinfd(double);
-int __isnanf(float);
-int __isnand(double);
-
-#ifdef __HAVE_LONG_DOUBLE
- int __fpclassifyl(long double);
- int __isinfl(long double);
- int __isnanl(long double);
-#endif /* __HAVE_LONG_DOUBLE */
-/*@}*/
-
-__END_DECLS
-
-/**@{
- Extensions provided by NetBSD but not required by the C95 standard.
-**/
-extern int signgam;
-
-enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
-
-#define _LIB_VERSION_TYPE enum fdversion
-#define _LIB_VERSION _fdlib_version
-
-/** If global variable _LIB_VERSION is not desirable, one may
- * change the following to be a constant by:
- * #define _LIB_VERSION_TYPE const enum version
- * In that case, after one initializes the value _LIB_VERSION (see
- * s_lib_version.c) during compile time, it cannot be modified
- * in the middle of a program
- */
-extern _LIB_VERSION_TYPE _LIB_VERSION;
-
-#define _IEEE_ fdlibm_ieee
-#define _SVID_ fdlibm_svid
-#define _XOPEN_ fdlibm_xopen
-#define _POSIX_ fdlibm_posix
-
-#ifndef __cplusplus
-struct exception {
- int type;
- char *name;
- double arg1;
- double arg2;
- double retval;
-};
-#endif
-
-#define HUGE MAXFLOAT
-
-/** set X_TLOSS = pi*2**52 **/
-#define X_TLOSS 1.41484755040568800000e+16
-
-#define DOMAIN 1
-#define SING 2
-#define OVERFLOW 3
-#define UNDERFLOW 4
-#define TLOSS 5
-#define PLOSS 6
-/*@}*/
-
-/* 7.12#4 INFINITY */
-#ifdef __INFINITY
-#define INFINITY __INFINITY /**< float constant which overflows */
-#else
-#define INFINITY HUGE_VALF /**< positive infinity */
-#endif /* __INFINITY */
-
-/* 7.12#5 NAN: a quiet NaN, if supported */
-#ifdef __HAVE_NANF
-extern const union __float_u __nanf;
-#define NAN __nanf.__val
-#endif /* __HAVE_NANF */
-
-/**@{
- C99 7.12#6 Number classification macros represent mutually exclusive kinds of floating-point
- values.
-**/
-#define FP_INFINITE 0x00
-#define FP_NAN 0x01
-#define FP_NORMAL 0x02
-#define FP_SUBNORMAL 0x03
-#define FP_ZERO 0x04
-/* NetBSD extensions */
-#define _FP_LOMD 0x80 /**< range for machine-specific classes */
-#define _FP_HIMD 0xff
-/*@)*/
-
-/**@{
- * Constants ala XOPEN/SVID.
- */
-#define M_E 2.7182818284590452354 /**< e */
-#define M_LOG2E 1.4426950408889634074 /**< log 2e */
-#define M_LOG10E 0.43429448190325182765 /**< log 10e */
-#define M_LN2 0.69314718055994530942 /**< log e2 */
-#define M_LN10 2.30258509299404568402 /**< log e10 */
-#define M_PI 3.14159265358979323846 /**< pi */
-#define M_PI_2 1.57079632679489661923 /**< pi/2 */
-#define M_PI_4 0.78539816339744830962 /**< pi/4 */
-#define M_1_PI 0.31830988618379067154 /**< 1/pi */
-#define M_2_PI 0.63661977236758134308 /**< 2/pi */
-#define M_2_SQRTPI 1.12837916709551257390 /**< 2/sqrt(pi) */
-#define M_SQRT2 1.41421356237309504880 /**< sqrt(2) */
-#define M_SQRT1_2 0.70710678118654752440 /**< 1/sqrt(2) */
-#define MAXFLOAT ((float)3.40282346638528860e+38)
-/*@}*/
-
-#endif /* _MATH_H_ */