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443 lines
14 KiB
C
443 lines
14 KiB
C
/** @file
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Floating-point Math functions and macros.
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Copyright (c) 2010 - 2011, Intel Corporation. All rights reserved.<BR>
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This program and the accompanying materials are licensed and made available under
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the terms and conditions of the BSD License that accompanies this distribution.
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The full text of the license may be found at
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http://opensource.org/licenses/bsd-license.
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THE PROGRAM IS DISTRIBUTED UNDER THE BSD LICENSE ON AN "AS IS" BASIS,
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WITHOUT WARRANTIES OR REPRESENTATIONS OF ANY KIND, EITHER EXPRESS OR IMPLIED.
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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NetBSD: math.h,v 1.44 2006/03/25 16:41:11 xtraeme Exp
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dlibm.h 5.1 93/09/24
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**/
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#ifndef _MATH_H_
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#define _MATH_H_
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#include <sys/EfiCdefs.h>
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#include <sys/featuretest.h>
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/** @{
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@brief These are forward references to unions and macros used internaly
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by the implementation of the math functions and macros.
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**/
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union __float_u {
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unsigned char __dummy[sizeof(float)];
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float __val;
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};
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union __double_u {
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unsigned char __dummy[sizeof(double)];
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double __val;
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};
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union __long_double_u {
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unsigned char __dummy[sizeof(long double)];
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long double __val;
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};
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#include <machine/math.h> /* may use __float_u, __double_u, or __long_double_u */
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#ifdef __HAVE_LONG_DOUBLE
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#define __fpmacro_unary_floating(__name, __arg0) \
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/* LINTED */ \
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((sizeof (__arg0) == sizeof (float)) \
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? __ ## __name ## f (__arg0) \
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: (sizeof (__arg0) == sizeof (double)) \
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? __ ## __name ## d (__arg0) \
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: __ ## __name ## l (__arg0))
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#else
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#define __fpmacro_unary_floating(__name, __arg0) \
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/* LINTED */ \
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((sizeof (__arg0) == sizeof (float)) \
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? __ ## __name ## f (__arg0) \
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: __ ## __name ## d (__arg0))
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#endif /* __HAVE_LONG_DOUBLE */
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extern const union __double_u __infinity;
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extern const union __float_u __infinityf;
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extern const union __long_double_u __infinityl;
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/* C99 7.12.3.1 int fpclassify(real-floating x) */
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#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
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/* C99 7.12.3.3 int isinf(real-floating x) */
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#ifdef __isinf
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#define isinf(__x) __isinf(__x)
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#else
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#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
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#endif
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/* C99 7.12.3.4 int isnan(real-floating x) */
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#ifdef __isnan
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#define isnan(__x) __isnan(__x)
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#else
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#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
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#endif
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/*@)*/
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/*#############################################################
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* ISO C95
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*/
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/**@{
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Double, float, and long double versions, respectively, of HUGE_VAL.
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*/
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#define HUGE_VAL __infinity.__val
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#define HUGE_VALF __infinityf.__val
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#define HUGE_VALL __infinityl.__val
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/*@)*/
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__BEGIN_DECLS
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/*
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* ANSI/POSIX
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*/
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/** Compute the principal value of the arc cosine of Arg.
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@param[in] Arg The value to compute the arc cosine of.
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@return The computed value of the arc cosine of Arg in the interval [0,pi] radians.
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If Arg is not in the interval [-1,+1], errno is set to EDOM.
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**/
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double acos(double Arg);
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/** Compute the principal value of the arc sine of Arg.
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@param[in] Arg The value to compute the arc sine of.
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@return The computed value of the arc sine of Arg in the interval [-pi/2,+pi/2] radians.
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If Arg is not in the interval [-1,+1], errno is set to EDOM.
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**/
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double asin(double Arg);
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/** Compute the principal value of the arc tangent of Arg.
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@param[in] Arg The value to compute the arc tangent of.
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@return The computed value of the arc tangent of Arg in the interval [-pi/2,+pi/2] radians.
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**/
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double atan(double Arg);
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/** Compute the value of the arc tangent of (Num / Denom).
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The sign of both arguments is used to determine the quadrant of the return value.
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@param[in] Num The numerator of the value to compute the arc tangent of.
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@param[in] Denom The denominator of the value to compute the arc tangent of.
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@return The computed value of the arc tangent of (Num / Denom) in the interval [-pi,+pi] radians.
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**/
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double atan2(double Num, double Denom);
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/** Compute the value of the cosine of Arg, measured in radians.
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@param[in] Arg The value to compute the cosine of.
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@return The computed value of the cosine of Arg.
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**/
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double cos(double Arg);
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/** Compute the value of the sine of Arg.
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@param[in] Arg The value to compute the sine of.
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@return The computed value of the sine of Arg.
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**/
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double sin(double Arg);
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/** Compute the value of the tangent of Arg.
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@param[in] Arg The value to compute the tangent of.
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@return The computed value of the tangent of Arg.
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**/
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double tan(double Arg);
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/** Compute the value of the hyperbolic cosine of Arg.
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@param[in] Arg The value to compute the hyperbolic cosine of.
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@return The computed value of the hyperbolic cosine of Arg.
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If the magnitude of Arg is too large, errno is set to ERANGE.
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**/
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double cosh(double Arg);
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/** Compute the value of the hyperbolic sine of Arg.
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@param[in] Arg The value to compute the hyperbolic sine of.
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@return The computed value of the hyperbolic sine of Arg.
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If the magnitude of Arg is too large, errno is set to ERANGE.
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**/
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double sinh(double Arg);
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/** Compute the value of the hyperbolic tangent of Arg.
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@param[in] Arg The value to compute the hyperbolic tangent of.
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@return The computed value of the hyperbolic tangent of Arg.
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**/
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double tanh(double Arg);
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/** Compute the base-e exponential of Arg.
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@param[in] Arg The value to compute the base-e exponential of.
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@return The computed value of e**Arg.
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If the magnitude of Arg is too large, errno is set to ERANGE.
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**/
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double exp(double Arg);
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/** Break a floating-point number into a normalized fraction and an integral power of 2.
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@param[in] Value The floating-point value to be broken down.
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@param[out] Exp A pointer to an integer object to receive the integral power of 2 exponent.
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@return The frexp function returns a value R, such that Value == R**Exp.
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If Value is zero, both parts of the result are zero.
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**/
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double frexp(double Value, int *Exp);
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/** Multiply a floating-point number, Value, by an integral power of 2, Exp.
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@param[in] Value The floating-point value to be multiplied.
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@param[out] Exp The integral power of 2 to multiply Value by.
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@return The ldexp function returns a value R, such that R = Value x 2**Exp.
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If a range error occurs, errno will be set to ERANGE.
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**/
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double ldexp(double Value, int Exp);
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/** Compute the natural logarithm of Arg.
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@param[in] Arg The value to compute the natural logarithm of.
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@return The log function returns log base-e of Arg. If Arg is negative, errno is set to EDOM.
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Otherwise, errno will be set to ERANGE if a range error occurs.
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**/
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double log(double Arg);
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/** Compute the common (base-10) logarithm of Arg.
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@param[in] Arg The value to compute the common logarithm of.
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@return The log10 function returns log base-10 of Arg. If Arg is negative, errno is set to EDOM.
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Otherwise, errno will be set to ERANGE if Arg is 0.
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**/
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double log10(double Arg);
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/** Compute the base-2 logarithm of Arg.
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@param[in] Arg The value to compute the base-2 logarithm of.
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@return The log function returns log base-2 of Arg. If Arg is negative, errno is set to EDOM.
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Otherwise, errno will be set to ERANGE if Arg is 0.
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**/
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double log2(double Arg);
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/** Break Value into integral and fractional parts, each of which has the same type and sign
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as Value. Store the integral part in the object pointed to by Integ and return the
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fractional part.
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@param[in] Value The value to compute the arc cosine of.
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@param[out] Integ Pointer to where the integral component is to be stored.
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@return The fractional part of Value is returned directly while the integral part is
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returned in the location pointed to by Integ.
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**/
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double modf(double Value, double *Integ);
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/** Compute Value raised to the power Exp.
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@param[in] Value The value to be raised.
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@param[in] Exp The power Value is to be raised to.
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@return The pow function returns Value**Exp. If an error occurs, errno will be set as follows:
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- EDOM: Value is finite and negative and Exp is finite and not an integer.
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- EDOM: Both Value and Exp are zero.
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- EDOM: Value is zero and Exp is less than zero.
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**/
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double pow(double Value, double Exp);
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/** Compute the non-negative square root of Arg.
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@param[in] Arg The value to compute the square root of.
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@return The square root of Arg. If Arg is less than zero, errno is set to EDOM.
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**/
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double sqrt(double Arg);
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/** Compute the smallest integer value not less than Arg.
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@param[in] Arg The value to compute the ceiling of.
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@return The ceiling of Arg expressed as a floating-point number.
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**/
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double ceil(double Arg);
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/** Compute the absolute value of Arg.
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@param[in] Arg The value to compute the absolute value of.
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@return The absolute value of Arg.
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**/
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double fabs(double Arg);
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/** Compute the largest integer value not greater than Arg.
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@param[in] Arg The value to compute the floor of.
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@return The largest integer value not greater than Arg, expressed as a floating-point number.
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**/
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double floor(double);
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/** Compute the floating-point remainder of A1 / A2.
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@param[in] A1 The dividend.
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@param[in] A2 The divisor.
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@return The remainder of A1 / A2 with the same sign as A1. If A2 is zero, the fmod function
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returns 0.
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**/
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double fmod(double A1, double A2);
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int finite(double);
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double expm1(double);
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/**@{
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C99, Posix, or NetBSD functions that are not part of the C95 specification.
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**/
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/*
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* Functions callable from C, intended to support IEEE arithmetic.
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*/
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double copysign(double, double);
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double scalbn(double, int);
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/*
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* Library implementation
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*/
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int __fpclassifyf(float);
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int __fpclassifyd(double);
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int __isinff(float);
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int __isinfd(double);
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int __isnanf(float);
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int __isnand(double);
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#ifdef __HAVE_LONG_DOUBLE
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int __fpclassifyl(long double);
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int __isinfl(long double);
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int __isnanl(long double);
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#endif /* __HAVE_LONG_DOUBLE */
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/*@}*/
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__END_DECLS
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/**@{
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Extensions provided by NetBSD but not required by the C95 standard.
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**/
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extern int signgam;
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enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
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#define _LIB_VERSION_TYPE enum fdversion
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#define _LIB_VERSION _fdlib_version
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/** If global variable _LIB_VERSION is not desirable, one may
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* change the following to be a constant by:
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* #define _LIB_VERSION_TYPE const enum version
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* In that case, after one initializes the value _LIB_VERSION (see
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* s_lib_version.c) during compile time, it cannot be modified
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* in the middle of a program
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*/
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extern _LIB_VERSION_TYPE _LIB_VERSION;
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#define _IEEE_ fdlibm_ieee
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#define _SVID_ fdlibm_svid
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#define _XOPEN_ fdlibm_xopen
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#define _POSIX_ fdlibm_posix
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#ifndef __cplusplus
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struct exception {
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int type;
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char *name;
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double arg1;
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double arg2;
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double retval;
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};
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#endif
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#define HUGE MAXFLOAT
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/** set X_TLOSS = pi*2**52 **/
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#define X_TLOSS 1.41484755040568800000e+16
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#define DOMAIN 1
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#define SING 2
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#define OVERFLOW 3
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#define UNDERFLOW 4
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#define TLOSS 5
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#define PLOSS 6
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/*@}*/
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/* 7.12#4 INFINITY */
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#ifdef __INFINITY
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#define INFINITY __INFINITY /**< float constant which overflows */
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#else
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#define INFINITY HUGE_VALF /**< positive infinity */
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#endif /* __INFINITY */
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/* 7.12#5 NAN: a quiet NaN, if supported */
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#ifdef __HAVE_NANF
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extern const union __float_u __nanf;
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#define NAN __nanf.__val
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#endif /* __HAVE_NANF */
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/**@{
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C99 7.12#6 Number classification macros represent mutually exclusive kinds of floating-point
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values.
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**/
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#define FP_INFINITE 0x00
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#define FP_NAN 0x01
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#define FP_NORMAL 0x02
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#define FP_SUBNORMAL 0x03
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#define FP_ZERO 0x04
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/* NetBSD extensions */
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#define _FP_LOMD 0x80 /**< range for machine-specific classes */
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#define _FP_HIMD 0xff
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/*@)*/
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/**@{
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* Constants ala XOPEN/SVID.
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*/
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#define M_E 2.7182818284590452354 /**< e */
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#define M_LOG2E 1.4426950408889634074 /**< log 2e */
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#define M_LOG10E 0.43429448190325182765 /**< log 10e */
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#define M_LN2 0.69314718055994530942 /**< log e2 */
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#define M_LN10 2.30258509299404568402 /**< log e10 */
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#define M_PI 3.14159265358979323846 /**< pi */
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#define M_PI_2 1.57079632679489661923 /**< pi/2 */
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#define M_PI_4 0.78539816339744830962 /**< pi/4 */
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#define M_1_PI 0.31830988618379067154 /**< 1/pi */
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#define M_2_PI 0.63661977236758134308 /**< 2/pi */
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#define M_2_SQRTPI 1.12837916709551257390 /**< 2/sqrt(pi) */
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#define M_SQRT2 1.41421356237309504880 /**< sqrt(2) */
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#define M_SQRT1_2 0.70710678118654752440 /**< 1/sqrt(2) */
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#define MAXFLOAT ((float)3.40282346638528860e+38)
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/*@}*/
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#endif /* _MATH_H_ */
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