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/* FALCON - The Falcon Programming Language.
* FILE: math_extra_ext.cpp
*
* Extra math functions
* Interface extension functions
* -------------------------------------------------------------------
* Author: Steven N Oliver
* Begin: Wed, 27 Oct 2010 20:12:51 -0400
*
* -------------------------------------------------------------------
* (C) Copyright 2010: The above AUTHOR
*
* Licensed under the Falcon Programming Language License,
* Version 1.1 (the "License"); you may not use this file
* except in compliance with the License. You may obtain
* a copy of the License at
*
* http://www.falconpl.org/?page_id=license_1_1
*
* Unless required by applicable law or agreed to in writing,
* software distributed under the License is distributed on
* an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* KIND, either express or implied. See the License for the
* specific language governing permissions and limitations
* under the License.
*/
/** \file
Extra math functions
Interface extension functions
*/
/*#
@beginmodule feathers.math_extra
*/
#include <falcon/engine.h>
#include "math_extra_ext.h"
#include "math_extra_mod.h"
namespace Falcon {
namespace Ext {
// visual studio doesn't have inverse hyperbolic functions
#ifdef _MSC_VER
static double __inverse_call( double value, double (*func)(double) )
{
errno = 0;
double res = func( value );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
if ( res == 0.0 )
{
throw new MathError( ErrorParam( e_div_by_zero, __LINE__).origin( e_orig_runtime ) );
}
return 1/res;
}
static double acosh( double value ) { return __inverse_call( value, cosh ); }
static double asinh( double value ) { return __inverse_call( value, sinh ); }
static double atanh( double value ) { return __inverse_call( value, tanh ); }
#endif
// Hyperbolic
/*#
@function cosh
@brief Returns the hyperbolic cosine of the argument.
@return The hyperbolic cosine of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_cosh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = cosh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function sinh
@brief Returns the hyperbolic sine of the argument.
@return The hyperbolic sine of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_sinh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = sinh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function tanh
@brief Returns the hyperbolic tangent of the argument.
@return The hyperbolic tangent of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_tanh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = tanh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
// Inverse Hyperbolic
/*#
@function acosh
@brief Returns the hyperbolic cosine of the argument.
@return The inverse hyperbolic cosine of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_acosh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = acosh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function asinh
@brief Returns the hyperbolic sine of the argument.
@return The inverse hyperbolic sine of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_asinh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = asinh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function atanh
@brief Returns the hyperbolic tangent of the argument.
@return The inverse hyperbolic tangent of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_atanh( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = atanh( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function atan2
@brief Returns the angle in radians between a positive x and positive y.
@return The angle in radians between a positive x and positive y.
@raise MathError If the arguments are out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_atan2( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
Item *num2 = vm->param( 1 );
// The arguments must be ordinal and must be greater than 0
if ( num1 <= 0 || ! num1->isOrdinal() || num2 <= 0 || ! num2->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = atan2( num1->forceNumeric(), num2->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function lambda
@brief Returns the lambda of two arguments.
@return The lambda which is arg1 raised to itself, raised to arg2 - 1.
@raise MathError If the value is to large.
The function may raise an error if the value cannot
be computed because of an overflow error.
*/
FALCON_FUNC Func_lambda( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
Item *num2 = vm->param( 1 );
if ( ! num1->isOrdinal() || ! num2->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = pow( num1->forceNumeric(), pow( num1->forceNumeric(), (num2->forceNumeric())-1 ) ) ;
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function sec
@brief Returns the secant of the argument.
@return The reciprocal cosine ( 1 / cos() ) of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_sec( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = 1 / cos( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function csc
@brief Returns the cosecant of the argument.
@return The coseant ( 1 / sin() ) of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_csc( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = 1 / sin( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
/*#
@function cotan
@brief Returns the cotangent of the argument.
@return The reciprocal of the tangent ( 1 / tan() ) of the argument.
@raise MathError If the argument is out of domain.
The function may raise an error if the value cannot
be computed because of a domain or overflow error.
*/
FALCON_FUNC Func_cotan( ::Falcon::VMachine *vm )
{
Item *num1 = vm->param( 0 );
if ( num1 == 0 || ! num1->isOrdinal() )
{
throw new ParamError( ErrorParam( e_inv_params, __LINE__ ).origin( e_orig_runtime ).extra("N") );
}
errno = 0;
numeric res = 1 / tan( num1->forceNumeric() );
if ( errno != 0 )
{
throw new MathError( ErrorParam( e_domain, __LINE__).origin( e_orig_runtime ) );
}
else {
vm->retval( res );
}
}
}
} // namespace Falcon::Ext
/* end of math_extra_ext.cpp */
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