diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/double/chbevl.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/double/chbevl.c')
-rw-r--r-- | libm/double/chbevl.c | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/libm/double/chbevl.c b/libm/double/chbevl.c new file mode 100644 index 000000000..539388164 --- /dev/null +++ b/libm/double/chbevl.c @@ -0,0 +1,82 @@ +/* chbevl.c + * + * Evaluate Chebyshev series + * + * + * + * SYNOPSIS: + * + * int N; + * double x, y, coef[N], chebevl(); + * + * y = chbevl( x, coef, N ); + * + * + * + * DESCRIPTION: + * + * Evaluates the series + * + * N-1 + * - ' + * y = > coef[i] T (x/2) + * - i + * i=0 + * + * of Chebyshev polynomials Ti at argument x/2. + * + * Coefficients are stored in reverse order, i.e. the zero + * order term is last in the array. Note N is the number of + * coefficients, not the order. + * + * If coefficients are for the interval a to b, x must + * have been transformed to x -> 2(2x - b - a)/(b-a) before + * entering the routine. This maps x from (a, b) to (-1, 1), + * over which the Chebyshev polynomials are defined. + * + * If the coefficients are for the inverted interval, in + * which (a, b) is mapped to (1/b, 1/a), the transformation + * required is x -> 2(2ab/x - b - a)/(b-a). If b is infinity, + * this becomes x -> 4a/x - 1. + * + * + * + * SPEED: + * + * Taking advantage of the recurrence properties of the + * Chebyshev polynomials, the routine requires one more + * addition per loop than evaluating a nested polynomial of + * the same degree. + * + */ +/* chbevl.c */ + +/* +Cephes Math Library Release 2.0: April, 1987 +Copyright 1985, 1987 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + +double chbevl( x, array, n ) +double x; +double array[]; +int n; +{ +double b0, b1, b2, *p; +int i; + +p = array; +b0 = *p++; +b1 = 0.0; +i = n - 1; + +do + { + b2 = b1; + b1 = b0; + b0 = x * b1 - b2 + *p++; + } +while( --i ); + +return( 0.5*(b0-b2) ); +} |