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- /* facf.c
- *
- * Factorial function
- *
- *
- *
- * SYNOPSIS:
- *
- * float y, facf();
- * int i;
- *
- * y = facf( i );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns factorial of i = 1 * 2 * 3 * ... * i.
- * fac(0) = 1.0.
- *
- * Due to machine arithmetic bounds the largest value of
- * i accepted is 33 in single precision arithmetic.
- * Greater values, or negative ones,
- * produce an error message and return MAXNUM.
- *
- *
- *
- * ACCURACY:
- *
- * For i < 34 the values are simply tabulated, and have
- * full machine accuracy.
- *
- */
- /*
- Cephes Math Library Release 2.0: April, 1987
- Copyright 1984, 1987 by Stephen L. Moshier
- Direct inquiries to 30 Frost Street, Cambridge, MA 02140
- */
- #include <math.h>
- /* Factorials of integers from 0 through 33 */
- static float factbl[] = {
- 1.00000000000000000000E0,
- 1.00000000000000000000E0,
- 2.00000000000000000000E0,
- 6.00000000000000000000E0,
- 2.40000000000000000000E1,
- 1.20000000000000000000E2,
- 7.20000000000000000000E2,
- 5.04000000000000000000E3,
- 4.03200000000000000000E4,
- 3.62880000000000000000E5,
- 3.62880000000000000000E6,
- 3.99168000000000000000E7,
- 4.79001600000000000000E8,
- 6.22702080000000000000E9,
- 8.71782912000000000000E10,
- 1.30767436800000000000E12,
- 2.09227898880000000000E13,
- 3.55687428096000000000E14,
- 6.40237370572800000000E15,
- 1.21645100408832000000E17,
- 2.43290200817664000000E18,
- 5.10909421717094400000E19,
- 1.12400072777760768000E21,
- 2.58520167388849766400E22,
- 6.20448401733239439360E23,
- 1.55112100433309859840E25,
- 4.03291461126605635584E26,
- 1.0888869450418352160768E28,
- 3.04888344611713860501504E29,
- 8.841761993739701954543616E30,
- 2.6525285981219105863630848E32,
- 8.22283865417792281772556288E33,
- 2.6313083693369353016721801216E35,
- 8.68331761881188649551819440128E36
- };
- #define MAXFACF 33
- extern float MAXNUMF;
- #ifdef ANSIC
- float facf( int i )
- #else
- float facf(i)
- int i;
- #endif
- {
- if( i < 0 )
- {
- mtherr( "facf", SING );
- return( MAXNUMF );
- }
- if( i > MAXFACF )
- {
- mtherr( "facf", OVERFLOW );
- return( MAXNUMF );
- }
- /* Get answer from table for small i. */
- return( factbl[i] );
- }
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