1 .TH ginaccint 1 "January, 2000" "GiNaC"
3 GiNaC-cint \- An interactive interface for GiNaC based on the Cint C/C++ interpreter
8 is an interactive frontend for the GiNaC symbolic computation
9 framework. It is a tool that lets you write interactive programs in
10 C++ that directly make use of GiNaC's classes and thus a more complete
11 replacement for traditional interactive computer algebra systems than
12 \fBginsh\fP(1) is. Programs may be composed as scripts and later compiled
13 with the native compiler and linked into the system.
16 After startup, ginsh displays a prompt signifying that it is ready to
17 accept your input. All C++ statements are valid as input, extended by
18 GiNaC's numeric or symbolic expressions. E.g.
19 .BR fibonacci(24)/1104;
20 returns a GiNaC object of class
22 , which in this case represents the numeric 42. Symbols are declared by
25 GiNaC> symbol x("x"), y("y"), z;
27 which defines two named symbols and an anonymous one for later usage.
28 All GiNaC methods and functions are available as they would be typed
29 in C++. It is not necessary to explicitly invoke a print command as
30 the last expression is automatically printed:
32 GiNaC> pow(x+y,4).expand();
33 Out2 = x^4+4*x^3*y+6*x^2*y^2+4*x*y^3+y^4
35 Statements are generally closed by either when a closing brace
37 matches the first opening brace
45 Switch to cint interactive mode.
48 Allow a function definition in interactive mode. GiNaC-cint must be
49 put into a special mode in order to define a function. After that any
50 function definition in valid C++ syntax may be typed in. It becomes
51 immediatly available for usage.
54 Exit from GiNaC-Cint. Same as
62 .IP "\fBOut\fP\fInum\fP"
63 Returns the expression whose output was marked
64 .BR "\fBOut\fP\fInum\fP"
67 .IP "\fBLAST\fP, \fBLLAST, \fP\fBLLLAST\fP"
68 Return the last, second last and third last expression,
73 GiNaC> symbol x("x"), y("y"), z("z");
74 GiNaC> ex a = pow(x,2)-x-2;
75 GiNaC> ex b = pow(x+1,2);
78 Out1 = -2*(1+x)^(-3)*(-2-x+x^2)+(-1+2*x)*(1+x)^(-2)
80 Out2 = (-2+x)*(1+x)^(-1)
81 GiNaC> for (int i=2; i<20; i+=2) {
82 > cout << "B(" << i << ")==" << bernoulli(i) << endl;
94 next expression can be a function definition
95 GiNaC> ex EulerNumber(unsigned n)
98 > const ex generator = pow(cosh(xi),-1);
99 > return generator.diff(xi,n).subs(xi==0);
101 creating file /tmp/ginac26197caa
102 GiNaC> EulerNumber(42);
103 Out3 = -10364622733519612119397957304745185976310201
104 GiNaC> ex f = expand((x*y*z-1)*(x*y*z+3));
105 GiNaC> ex g = expand((x*y*z-1)*(x*y*z-3));
106 GiNaC> cout << "The GCD of " << f << " and " << g << endl
107 > << " is " << gcd(f, g) << endl
108 > << " so " << f/g << endl
109 > << " is " << normal(f/g) << endl;
110 The GCD of -3+2*x*z*y+x^2*z^2*y^2 and 3-4*x*z*y+x^2*z^2*y^2
112 so (-3+2*x*z*y+x^2*z^2*y^2)*(3-4*x*z*y+x^2*z^2*y^2)^(-1)
113 is (-3+x*z*y)^(-1)*(3+x*z*y)
118 Cint accepts most of K&R and ANSI C/C++ language construct but not
119 perfect. In fact, Cint is not aimed to be a 100% ANSI/ISO compliant
120 C/C++ language processor. It rather is a portable script language
121 environment which is close enough to the standard C++. See the file
123 in your Cint distribution. Please take the time to track down any bug
124 you encounter as far as possible and contact Masaharu Goto
125 <MXJ02154@niftyserve.or.jp> for Cint-related bugs and
126 <ginac-bugs@ginac.de> for any bugs in the GiNaC engine.
128 Only expressions (class
130 are typed out and available through
131 .BR "\fBOut\fP\fInum\fP"
134 after declaring them. This accounts for some funny behaviour, like
138 does, since this is not a naked number but an expression holding
145 Christian Bauer <Christian.Bauer@uni-mainz.de>
147 Alexander Frink <Alexander.Frink@uni-mainz.de>
149 Richard Kreckel <Richard.Kreckel@uni-mainz.de>
151 Agilent Technologies Japan
153 Masaharu Goto <MXJ02154@niftyserve.or.jp>
155 GiNaC Tutorial \- An open framework for symbolic computation within the
156 C++ programming language
158 CLN \- A Class Library for Numbers, Bruno Haible
163 Copyright \(co 1999-2000 Johannes Gutenberg Universit\(:at Mainz, Germany
165 This program is free software; you can redistribute it and/or modify
166 it under the terms of the GNU General Public License as published by
167 the Free Software Foundation; either version 2 of the License, or
168 (at your option) any later version.
170 This program is distributed in the hope that it will be useful,
171 but WITHOUT ANY WARRANTY; without even the implied warranty of
172 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
173 GNU General Public License for more details.
175 You should have received a copy of the GNU General Public License
176 along with this program; if not, write to the Free Software
177 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
179 Copyright \(co of Cint and associated tools are owned by Agilent
180 Technologies Japan Company and the author. Acknowledgement to the
181 author by e-mail is recommended at installation. Source code, binary
182 executable or library of Cint and associated tools can be used,
183 modified and distributed free of charge for any purpose provided that
184 the copyright notice appear in all copies and that both that copyright
185 notice and this permission notice appear in documentation.
186 Registration is requested, at this moment, for commercial use. Send
187 e-mail to the author <MXJ02154@niftyserve.or.jp>. The registration is