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105 lines
3.2 KiB
Plaintext
105 lines
3.2 KiB
Plaintext
NAME
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epsilon - set or read the stored epsilon value
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SYNOPSIS
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epsilon([eps])
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TYPES
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eps real number greater than 0 and less than 1
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return real number greater than 0 and less than 1
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DESCRIPTION
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Without args, epsilon() returns the current epsilon value.
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With one arg, epsilon(eps) returns the current epsilon value
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and sets the stored epsilon value to eps.
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The stored epsilon value is used as default value for eps in
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many functions such as appr(x, eps, rnd), sqrt(x, eps, rnd),
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pi(eps), sin(x, eps), tanh(x, eps), etc.
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EXAMPLE
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; epsilon(1e-20),;
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; oldeps = epsilon(1e-6)
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; print epsilon(), sqrt(2), epsilon(1e-4), sqrt(2), epsilon(oldeps)
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; 0.000001 1.414214 0.000001 1.4142 0.0001
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; /*
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* NOTE: When displaying many digits after the decimal point
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* be sure to set display(digits) (see 'help display') to
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* large enough AND to set epsilon(eps) (see 'help epsilon')
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* small enough (or if the function has a esp argument,
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* give a eps argument that is small enough) to display
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* the value correctly.
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*/
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; config("tilde", 1),;
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; ## NOTE: display has too few digits and epsilon is not small enough
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; display(12),;
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; printf("%f\n", pi(1e-10));
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3.1415926536
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; epsilon(1e-10),;
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; printf("%f\n", pi());
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3.1415926536
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; ## NOTE: display has too few digits yet epsilon is small enough
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; display(12),;
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; printf("%f\n", pi(1e-72));
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~3.141592653590
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; epsilon(1e-72),;
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; printf("%f\n", pi());
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~3.141592653590
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; ## NOTE: display has enough digits but epsilon is not small enough
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; display(72),;
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; printf("%f\n", pi(1e-10));
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3.1415926536
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; epsilon(1e-10),;
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; printf("%f\n", pi());
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3.1415926536
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; ## NOTE: display has enough digits and epsilon is small enough
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; display(72),;
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; printf("%f\n", pi(1e-72));
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3.141592653589793238462643383279502884197169399375105820974944592307816406
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; epsilon(1e-72),;
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; printf("%f\n", pi());
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3.141592653589793238462643383279502884197169399375105820974944592307816406
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LIMITS
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none
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LINK LIBRARY
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void setepsilon(NUMBER *eps)
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NUMBER *_epsilon_
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SEE ALSO
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config, display, fprintf, printf, strprintf
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## Copyright (C) 1999,2018,2021 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1995/10/05 04:52:26
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## File existed as early as: 1995
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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