/usr/share/calc/help/define is in apcalc-common 2.12.4.4-2.
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define - command keyword to start a function definition
SYNTAX
define fname([param_1 [= default_1], ...]) = [expr]
define fname([param_1 [= default_1], ...]) { [statement_1 ... ] }
TYPES
fname identifier, not a builtin function name
param_1, ... identifiers, no two the same
default_1, ... expressions
expr expression
statement_1, ... statements
DESCRIPTION
The intention of a function definition is that the identifier fname
becomes the name of a function which may be called by an expression
of the form fname(arg_1, arg_2, ...), where arg_1, arg_2, ... are
expressions (including possibly blanks, which are treated as
null values). Evaluation of the function begins with evaluation
of arg_1, arg_2, ...; then, in increasing order of i, if arg_i is
null-valued and "= default_i" has been included in the definition,
default_i is evaluated and its value becomes the value of arg_i.
The instructions in expr or the listed statements are then executed
with each occurrence of param_i replaced by the value obtained
for arg_i.
In a call, arg_i may be preceded by a backquote (`) to indicate that
evaluation of arg_i is not to include a final evaluation of an lvalue.
For example, suppose a function f and a global variable A have been
defined by:
; define f(x) = (x = 3);
; global mat A[3];
If g() is a function that evaluates to 2:
; f(A[g()]);
assigns the value of A[2] to the parameter x and then assigns the
value 3 to x:
; f(`A[g()]);
has essentially the effect of assigning A[2] as an lvalue to x and
then assigning the value 3 to A[2]. (Very old versions of calc
achieved the same result by using '&' as in f(&A[g()]).)
The number of arguments arg_1, arg_2, ... in a call need not equal the
number of parameters. If there are fewer arguments than parameters,
the "missing" values are assigned the null value.
In the definition of a function, the builtin function param(n)
provides a way of referring to the parameters. If n (which may
result from evaluating an expreession) is zero, it returns the number
of arguments in a call to the function, and if 1 <= n <= param(0),
param(n) refers to the parameter with index n.
If no error occurs and no quit statement or abort statement is
encountered during evaluation of the expression or the statements,
the function call returns a value. In the expression form, this is
simply the value of the expression.
In the statement form, if a return statement is encountered,
the "return" keyword is to be either immediately followed by an
expression or by a statement terminator (semicolon or rightbrace);
in the former case, the expression is evaluated, evaluation of
the function ceases, and the value obtained for the expression is
returned as the "value of the function"; in the no-expression case,
evaluation ceases immediately and the null-value is returned.
In the expression form of definition, the end of the expression expr
is to be indicated by either a semicolon or a newline not within
a part enclosed by parentheses; the definition may extend over
several physical lines by ending each line with a '\' character or by
enclosing the expression in parentheses. In interactive mode, that
a definition has not been completed is indicated by the continuation
prompt. A ctrl-C interrupt at this stage will abort the definition.
If the expr is omitted from an expression definition, as in:
; define h() = ;
any call to the function will evaluate the arguments and return the
null value.
In the statement form, the definition ends when a matching right
brace completes the "block" started by the initial left brace.
Newlines within the block are treated as white space; statements
within the block end with a ';' or a '}' matching an earlier '{'.
If a function with name fname had been defined earlier, the old
definition has no effect on the new definition, but if the definition
is completed successfully, the new definition replaces the old one;
otherwise the old definition is retained. The number of parameters
and their names in the new definiton may be quite different from
those in the old definition.
An attempt at a definition may fail because of scanerrors as the
definition is compiled. Common causes of these are: bad syntax,
using identifiers as names of variables not yet defined. It is
not a fault to have in the definition a call to a function that has
not yet been defined; it is sufficient that the function has been
defined when a call is made to the function.
After fname has been defined, the definition may be removed by the command:
; undefine fname
The definitions of all user-defined functions may be removed by:
; undefine *
If bit 0 of config("resource_debug") is set and the define command is
at interactive level, a message saying that fname has been defined
or redefined is displayed. The same message is displayed if bit 1
of config("resource_debug") is set and the define command is read
from a file.
The identifiers used for the parameters in a function definition do
not form part of the completed definition. For example,
; define f(a,b) = a + b;
; define g(alpha, beta) = alpha + beta;
result in identical code for the functions f, g.
If config("trace") & 8 is nonzero, the opcodes of a newly defined
function are displayed on completion of its definition, parameters
being specified by names used in the definition. For example:
; config("trace", 8),
; define f(a,b) = a + b
0: PARAMADDR a
2: PARAMADDR b
4: ADD
5: RETURN
f(a,b) defined
The opcodes may also be displayed later using the show opcodes command;
parameters will be specified by indices instead of by names. For example:
; show opco f
0: PARAMADDR 0
2: PARAMADDR 1
4: ADD
5: RETURN
When a function is defined by the statement mode, the opcodes normally
include DEBUG opcodes which specify statement boundaries at which
SIGINT interruptions are likely to be least risky. Inclusion of
the DEBUG opcodes is disabled if config("trace") & 2 is nonzero.
For details, see help interrupt.
While config("trace") & 1 is nonzero, the opcodes are displayed as
they are being evaluated. The current function is identified by its
name, or "*" in the case of a command-line and "**" in the case of
an eval(str) evaluation.
When a function is called, argument values may be of any type for
which the operations and any functions used within the body of the
definition can be executed. For example, whatever the intention at
the time they were defined, the functions f1(), f2() defined above
may be called with integer, fractional, or complex-number values, or
with both arguments strings, or under some compatibility conditions,
matrices or objects.
EXAMPLE
; define f(a,b) = 2*a + b;
; define g(alpha, beta)
;; {
;; local a, pi2;
;;
;; pi2 = 2 * pi();
;; a = sin(alpha % pi2);
;; if (a > 0.0) {
;; return a*beta;
;; }
;; if (beta > 0.0) {
;; a *= cos(-beta % pi2);
;; }
;; return a;
;; }
LIMITS
The number of arguments in a function-call cannot exceed 1024.
LIBRARY
none
SEE ALSO
param, variable, undefine, show
## Copyright (C) 2000-2006 David I. Bell, Landon Curt Noll and Ernest Bowen
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: define,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/define,v $
##
##
## Under source code control: 1991/07/21 04:37:18
## File existed as early as: 1991
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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