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<?xml version='1.0' encoding='utf-8' ?>
<!DOCTYPE chapter PUBLIC "-//OASIS//DTD DocBook XML V4.5//EN" "http://www.oasis-open.org/docbook/xml/4.5/docbookx.dtd" [
<!ENTITY % BOOK_ENTITIES SYSTEM "rxmath.ent">
%BOOK_ENTITIES;
]>
<!--#########################################################################
#
# Description: Open Object RexxMath Library Functions XML file.
#
# Copyright (c) 2005-2012, Rexx Language Association. All rights reserved.
# Portions Copyright (c) 2004, IBM Corporation. All rights reserved.
#
# This program and the accompanying materials are made available under
# the terms of the Common Public License v1.0 which accompanies this
# distribution. A copy is also available at the following address:
# http://www.oorexx.org/license.html
#
# Redistribution and use in source and binary forms, with or
# without modification, are permitted provided that the following
# conditions are met:
#
# Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in
# the documentation and/or other materials provided with the distribution.
#
# Neither the name of Rexx Language Association nor the names
# of its contributors may be used to endorse or promote products
# derived from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
# TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
# OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
#########################################################################
-->
<chapter><title>Functions</title>
<para>
Most function names in the Rexx Mathematical Functions package are similar to the names of their
corresponding mathematical functions. Note that in ooRexx 4.0.0 and later, the
<computeroutput>MathLoadFuncs()</computeroutput> and <computeroutput>MathDropFuncs()</computeroutput>
are nops.
</para>
<itemizedlist>
<listitem><para>MathLoadFuncs()</para></listitem>
<listitem><para>MathDropFuncs()</para></listitem>
<listitem><para>RxCalcSqrt() </para></listitem>
<listitem><para>RxCalcExp() </para></listitem>
<listitem><para>RxCalcLog() </para></listitem>
<listitem><para>RxCalcLog10() </para></listitem>
<listitem><para>RxCalcSinH() </para></listitem>
<listitem><para>RxCalcCosH() </para></listitem>
<listitem><para>RxCalcTanH() </para></listitem>
<listitem><para>RxCalcPower() </para></listitem>
<listitem><para>RxCalcSin() </para></listitem>
<listitem><para>RxCalcCos() </para></listitem>
<listitem><para>RxCalcTan() </para></listitem>
<listitem><para>RxCalcCotan() </para></listitem>
<listitem><para>RxCalcPi() </para></listitem>
<listitem><para>RxCalcArcSin() </para></listitem>
<listitem><para>RxCalcArcCos() </para></listitem>
<listitem><para>RxCalcArcTan() </para></listitem>
</itemizedlist>
<section><title>MathLoadFuncs()</title>
<indexterm><primary>MathLoadFuncs (nop)</primary></indexterm>
<programlisting>
<![CDATA[
>>-MathLoadFuncs()---------------------------------------------><
]]>
</programlisting>
<para>
Beginning with ooRexx 4.0.0 this function is basically a nop. Use:
<programlisting>
::requires 'rxmath' LIBRARY
</programlisting>
to gain access to the functions in the package.
</para>
<para>
However, if this function is called with a single, string, parameter, the copyright information is
printed.
</para>
</section>
<section><title>MathDropFuncs()</title>
<indexterm><primary>MathDropFuncs (nop)</primary></indexterm>
<programlisting>
<![CDATA[
>>-MathDropFuncs()---------------------------------------------><
]]>
</programlisting>
<para>
This function is a nop in ooRexx 4.0.0 and later. It does nothing.
</para>
</section>
<section><title>RxCalcSqrt()</title>
<indexterm><primary>RxCalcSqrt</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcSqrt</secondary></indexterm>
<indexterm><primary>square root of a number</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcSqrt(number--+---------------+--)---------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the absolute value of the square root of number.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number whose square root you wish to calculate.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcExp()</title>
<indexterm><primary>RxCalcExp</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcExp</secondary></indexterm>
<indexterm><primary>exponential</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcExp(number--+---------------+--)----------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the exponential function of number.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the exponential function.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcLog()</title>
<indexterm><primary>RxCalcLog</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcLog</secondary></indexterm>
<indexterm><primary>natural logarithm</primary></indexterm>
<indexterm><primary>logarithm, natural</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcLog(number--+---------------+--)----------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the natural logarithm (base e) of number.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the natural logarithm.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcLog10()</title>
<indexterm><primary>RxCalcLog10</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcLog10</secondary></indexterm>
<indexterm><primary>base 10 logarithm</primary></indexterm>
<indexterm><primary>logarithm, base 10</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcLog10(number--+---------------+--)--------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the base 10 logarithm of number.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the base 10 logarithm.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcSinH()</title>
<indexterm><primary>RxCalcSinH</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcSinH</secondary></indexterm>
<indexterm><primary>hyperbolic sine of a number</primary></indexterm>
<indexterm><primary>number, hyperbolic sine of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcSinH(number--+---------------+--)---------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the hyperbolic sine of <emphasis role="italic">number</emphasis>.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the hyperbolic sine.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcCosH()</title>
<indexterm><primary>RxCalcCosH</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcCosH</secondary></indexterm>
<indexterm><primary>hyperbolic cosine of a number</primary></indexterm>
<indexterm><primary>number, hyperbolic cosine of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcCosH(number--+---------------+--)---------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the hyperbolic cosine of <emphasis role="italic">number</emphasis>.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the hyperbolic cosine.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcTanH()</title>
<indexterm><primary>RxCalcTanH</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcTanH</secondary></indexterm>
<indexterm><primary>hyperbolic tangent of a number</primary></indexterm>
<indexterm><primary>number, hyperbolic tangent of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcTanH(number--+---------------+--)---------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the hyperbolic tangent of <emphasis role="italic">number</emphasis>.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which you wish to calculate the hyperbolic tangent.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcPower()</title>
<indexterm><primary>RxCalcPower</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcPower</secondary></indexterm>
<indexterm><primary>raise a number to a power</primary></indexterm>
<indexterm><primary>number to a power, raise a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcPower(number1, number2--+---------------+--)----------><
+--, precision--+
]]>
</programlisting>
<para> Returns the value of mathematical expression number1 raised to the power of
exponent number2.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number1</term>
<listitem><para>The mathematical expression to be raised to the power of exponent
number2.
</para></listitem>
</varlistentry>
<varlistentry>
<term>number2</term>
<listitem><para>The exponent to which number1 is to be raised.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcSin()</title>
<indexterm><primary>RxCalcSin</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcSin</secondary></indexterm>
<indexterm><primary>sine value of a number</primary></indexterm>
<indexterm><primary>number, sine value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcSin(number--+--------------------------+--)-----------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the sine value for number, where number is the angle size, expressed in
degree [D], radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The angle size, expressed in degree [D], radian [R], or grade [G] units.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the angle size is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the angle size is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the angle size is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcCos()</title>
<indexterm><primary>RxCalcCos</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcCos</secondary></indexterm>
<indexterm><primary>cosine value of a number</primary></indexterm>
<indexterm><primary>number, cosine value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcCos(number--+--------------------------+--)-----------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the cosine value for number, where number is the angle size, expressed in
degree [D], radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The angle size, expressed in degree [D], radian [R], or grade [G] units.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the angle size is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the angle size is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the angle size is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcTan()</title>
<indexterm><primary>RxCalcTan</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcTan</secondary></indexterm>
<indexterm><primary>tangent value of a number</primary></indexterm>
<indexterm><primary>number, tangent value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcTan(number--+--------------------------+--)-----------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the tangent value for number, where number is the angle size, expressed in
degree [D], radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The angle size, expressed in degree [D], radian [R], or grade [G] units.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the angle size is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the angle size is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the angle size is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcCotan()</title>
<indexterm><primary>RxCalcCotan</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcCotan</secondary></indexterm>
<indexterm><primary>cotangent value of a number</primary></indexterm>
<indexterm><primary>number, cotangent value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcCotan(number--+--------------------------+--)---------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the cotangent value for number, where number is the angle size, expressed
in degree [D], radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The angle size, expressed in degree [D], radian [R], or grade [G] units.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the angle size is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the angle size is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the angle size is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcPi()</title>
<indexterm><primary>RxCalcPi</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcPi</secondary></indexterm>
<indexterm><primary>value of pi</primary></indexterm>
<indexterm><primary>pi, value of</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcPi(--+---------------+--)-----------------------------><
+--, precision--+
]]>
</programlisting>
<para>Returns the value of pi.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcArcSin()</title>
<indexterm><primary>RxCalcArcSin</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcArcSin</secondary></indexterm>
<indexterm><primary>arcsine value of a number</primary></indexterm>
<indexterm><primary>number, arcsine value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcArcSin(number--+--------------------------+--)--------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para> Returns the arcsine of number, where the result can be expressed in degree [D],
radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which the arcsine is to be calculated.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the result is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the result is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the result is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcArcCos()</title>
<indexterm><primary>RxCalcArcCos</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcArcCos</secondary></indexterm>
<indexterm><primary>arccosine value of a number</primary></indexterm>
<indexterm><primary>number, arccosine value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcArcCos(number--+--------------------------+--)--------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the arccosine of number, where the result can be expressed in degree [D],
radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which the arccosine is to be calculated.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the result is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the result is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the result is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
<section><title>RxCalcArcTan()</title>
<indexterm><primary>RxCalcArcTan</primary></indexterm>
<indexterm><primary>functions</primary>
<secondary>RxCalcArcTan</secondary></indexterm>
<indexterm><primary>arctangent value of a number</primary></indexterm>
<indexterm><primary>number, arctangent value of a</primary></indexterm>
<programlisting>
<![CDATA[
>>-RxCalcArcTan(number--+--------------------------+--)--------><
| +--D--+ |
+--, precision, --+-----+--+
+--R--+
+--G--+
]]>
</programlisting>
<para>Returns the arctangent of number, where the result can be expressed in degree [D],
radian [R], or grade [G] units.</para>
<para>Parameters:</para>
<variablelist>
<varlistentry>
<term>number</term>
<listitem><para>The number for which the arctangent is to be calculated.
</para></listitem>
</varlistentry>
<varlistentry>
<term>precision</term>
<listitem><para>The precision of the calculation. If a value is not specified, the precision of
the calling Rexx activity is used. Precision is limited to 16 digits.
</para></listitem>
</varlistentry>
<varlistentry>
<term>D</term>
<listitem><para>Indicates that the result is expressed in degrees. This is the default.
</para></listitem>
</varlistentry>
<varlistentry>
<term>R</term>
<listitem><para>Indicates that the result is expressed in radians.
</para></listitem>
</varlistentry>
<varlistentry>
<term>G</term>
<listitem><para>Indicates that the result is expressed in grades.
</para></listitem>
</varlistentry>
</variablelist>
</section>
</chapter>