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# C:/Musimathics_local/Musimat/MusimatTutorial/B0127.cpp

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    00001 #include "MusimatTutorial.h"
    00002 MusimatTutorialSection(B0127) {
    00003 Print("*** B.1.27 Other Built-in Functions ***");
    00004 /*****************************************************************************
    00005
    00006 B.1.27 Other Built-in Functions
    00007
    00008 Musimat includes standard mathematical functions such as Sqrt(x). There are trigono-
    00009 metric functions such as Sin(x), Cos(x), and Tan(x). Arguments to trigonometric functions
    00010 are in real radian values. Speaking of radian measure, here’s an interesting way to compute Pi to
    00011 the machine precision of your computer:
    00012 *****************************************************************************/
    00013
    00014 Const Real Pi = Atan(1.0) * 4.0;                        // arctangent of 1 times 4 equals Pi
    00015
    00016 /*****************************************************************************
    00017 The function Abs(x) returns the absolute value of its argument. It works for either Real or
    00018 Integer expressions. For instance, both of the following statements will print True:
    00019 *****************************************************************************/
    00020
    00021 If (Abs(-5) == Abs(5))  // Integer Abs( )
    00022         Print(True);
    00023 Else
    00024         Print(False);
    00025
    00026 If (Abs(-5.0) == Abs(5.0)) // Real Abs( )
    00027         Print(True);
    00028 Else
    00029         Print(False);
    00030
    00031 /*****************************************************************************
    00032 With no arguments, the built-in function Random() returns a real random value between 0.0 and
    00033 1.0, but if Random() is given arguments specifying Real lower and upper bounds, it returns a
    00034 Real random value between those boundaries. For example,
    00035 *****************************************************************************/
    00036
    00037 Real x = Random(0.0, 11.0);
    00038
    00039 /*****************************************************************************
    00040 returns a random Real value in the range 0.0 <= x < 11.0. Note the range is from 0.0 to almost 11.0.
    00041
    00042 If Random() is given arguments specifying Integer lower and upper bounds, it returns an
    00043 Integer random value between those boundaries. For example,
    00044 *****************************************************************************/
    00045
    00046 Integer y = Random(0, 11);
    00047
    00048 /*****************************************************************************
    00049 returns a random Integer value in the range [0..11]. Note the range is inclusive from 0 to 11.
    00050
    00051 *****************************************************************************/
    00052 }}
    00053
    00055 /* $Revision: 1.1 $ $Date: 2006/09/08 19:11:33 $ $Author: dgl $ $Name:  $ $Id: _b0127_8cpp-source.html,v 1.1 2006/09/08 19:11:33 dgl Exp $ */
    00056 // The Musimat Tutorial © 2006 Gareth Loy
    00057 // Derived from Chapter 9 and Appendix B of "Musimathics Vol. 1" © 2006 Gareth Loy
    00058 // and published exclusively by The MIT Press.
    00059 // This program is released WITHOUT ANY WARRANTY; without even the implied
    00060 // warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
    00061 // For information on usage and redistribution, and for a DISCLAIMER OF ALL
    00062 // WARRANTIES, see the file, "LICENSE.txt," in this distribution.
    00063 // "Musimathics" is available here:     http://mitpress.mit.edu/catalog/item/default.asp?ttype=2&tid=10916
    00064 // Gareth Loy's Musimathics website:    http://www.musimathics.com/
    00065 // The Musimat website:                 http://www.musimat.com/
    00066 // This program is released under the terms of the GNU General Public License
    00067 // available here:                      http://www.gnu.org/licenses/gpl.txt
    00068