396 lines
7.4 KiB
C
396 lines
7.4 KiB
C
#include <math.h>
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#include <errno.h>
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#define IBMPC 1
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#define ANSIPROT 1
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#define MINUSZERO 1
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#define INFINITIES 1
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#define NANS 1
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#define DENORMAL 1
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#define VOLATILE
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#define mtherr(fname, code)
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#define XPD 0,
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#define _CEPHES_USE_ERRNO
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#ifdef _CEPHES_USE_ERRNO
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#define _SET_ERRNO(x) errno = (x)
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#else
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#define _SET_ERRNO(x)
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#endif
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/* constants used by cephes functions */
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/* double */
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#define MAXNUM 1.7976931348623158E308
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#define MAXLOG 7.09782712893383996843E2
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#define MINLOG -7.08396418532264106224E2
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#define LOGE2 6.93147180559945309417E-1
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#define LOG2E 1.44269504088896340736
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#define PI 3.14159265358979323846
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#define PIO2 1.57079632679489661923
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#define PIO4 7.85398163397448309616E-1
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#define NEGZERO (-0.0)
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#undef NAN
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#undef INFINITY
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#if (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ > 2))
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#define INFINITY __builtin_huge_val()
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#define NAN __builtin_nan("")
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#else
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extern double __INF;
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#define INFINITY (__INF)
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extern double __QNAN;
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#define NAN (__QNAN)
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#endif
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/*long double*/
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#define MAXNUML 1.189731495357231765021263853E4932L
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#define MAXLOGL 1.1356523406294143949492E4L
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#define MINLOGL -1.13994985314888605586758E4L
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#define LOGE2L 6.9314718055994530941723E-1L
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#define LOG2EL 1.4426950408889634073599E0L
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#define PIL 3.1415926535897932384626L
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#define PIO2L 1.5707963267948966192313L
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#define PIO4L 7.8539816339744830961566E-1L
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#define isfinitel isfinite
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#define isinfl isinf
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#define isnanl isnan
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#define signbitl signbit
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#define NEGZEROL (-0.0L)
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#undef NANL
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#undef INFINITYL
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#if (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ > 2))
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#define INFINITYL __builtin_huge_vall()
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#define NANL __builtin_nanl("")
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#else
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extern long double __INFL;
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#define INFINITYL (__INFL)
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extern long double __QNANL;
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#define NANL (__QNANL)
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#endif
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/* float */
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#define MAXNUMF 3.4028234663852885981170418348451692544e38F
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#define MAXLOGF 88.72283905206835F
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#define MINLOGF -103.278929903431851103F /* log(2^-149) */
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#define LOG2EF 1.44269504088896341F
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#define LOGE2F 0.693147180559945309F
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#define PIF 3.141592653589793238F
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#define PIO2F 1.5707963267948966192F
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#define PIO4F 0.7853981633974483096F
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#define isfinitef isfinite
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#define isinff isinf
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#define isnanf isnan
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#define signbitf signbit
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#define NEGZEROF (-0.0F)
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#undef NANF
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#undef INFINITYF
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#if (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ > 2))
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#define INFINITYF __builtin_huge_valf()
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#define NANF __builtin_nanf("")
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#else
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extern float __INFF;
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#define INFINITYF (__INFF)
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extern float __QNANF;
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#define NANF (__QNANF)
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#endif
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/* double */
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/*
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Cephes Math Library Release 2.2: July, 1992
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Copyright 1984, 1987, 1988, 1992 by Stephen L. Moshier
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Direct inquiries to 30 Frost Street, Cambridge, MA 02140
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*/
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/* polevl.c
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* p1evl.c
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*
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* Evaluate polynomial
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*
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*
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*
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* SYNOPSIS:
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*
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* int N;
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* double x, y, coef[N+1], polevl[];
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*
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* y = polevl( x, coef, N );
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*
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*
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*
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* DESCRIPTION:
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*
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* Evaluates polynomial of degree N:
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*
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* 2 N
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* y = C + C x + C x +...+ C x
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* 0 1 2 N
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*
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* Coefficients are stored in reverse order:
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*
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* coef[0] = C , ..., coef[N] = C .
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* N 0
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*
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* The function p1evl() assumes that coef[N] = 1.0 and is
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* omitted from the array. Its calling arguments are
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* otherwise the same as polevl().
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*
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*
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* SPEED:
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*
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* In the interest of speed, there are no checks for out
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* of bounds arithmetic. This routine is used by most of
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* the functions in the library. Depending on available
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* equipment features, the user may wish to rewrite the
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* program in microcode or assembly language.
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*
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*/
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/* Polynomial evaluator:
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* P[0] x^n + P[1] x^(n-1) + ... + P[n]
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*/
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static __inline__ double polevl( x, p, n )
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double x;
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const void *p;
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int n;
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{
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register double y;
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register double *P = (double *)p;
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y = *P++;
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do
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{
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y = y * x + *P++;
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}
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while( --n );
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return(y);
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}
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/* Polynomial evaluator:
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* x^n + P[0] x^(n-1) + P[1] x^(n-2) + ... + P[n]
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*/
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static __inline__ double p1evl( x, p, n )
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double x;
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const void *p;
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int n;
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{
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register double y;
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register double *P = (double *)p;
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n -= 1;
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y = x + *P++;
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do
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{
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y = y * x + *P++;
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}
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while( --n );
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return( y );
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}
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/* long double */
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/*
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Cephes Math Library Release 2.2: July, 1992
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Copyright 1984, 1987, 1988, 1992 by Stephen L. Moshier
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Direct inquiries to 30 Frost Street, Cambridge, MA 02140
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*/
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/* polevll.c
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* p1evll.c
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*
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* Evaluate polynomial
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*
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*
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*
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* SYNOPSIS:
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*
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* int N;
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* long double x, y, coef[N+1], polevl[];
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*
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* y = polevll( x, coef, N );
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*
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*
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*
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* DESCRIPTION:
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*
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* Evaluates polynomial of degree N:
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*
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* 2 N
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* y = C + C x + C x +...+ C x
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* 0 1 2 N
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*
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* Coefficients are stored in reverse order:
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*
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* coef[0] = C , ..., coef[N] = C .
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* N 0
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*
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* The function p1evll() assumes that coef[N] = 1.0 and is
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* omitted from the array. Its calling arguments are
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* otherwise the same as polevll().
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*
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*
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* SPEED:
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*
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* In the interest of speed, there are no checks for out
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* of bounds arithmetic. This routine is used by most of
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* the functions in the library. Depending on available
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* equipment features, the user may wish to rewrite the
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* program in microcode or assembly language.
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*
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*/
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/* Polynomial evaluator:
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* P[0] x^n + P[1] x^(n-1) + ... + P[n]
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*/
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static __inline__ long double polevll( x, p, n )
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long double x;
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const void *p;
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int n;
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{
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register long double y;
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register long double *P = (long double *)p;
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y = *P++;
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do
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{
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y = y * x + *P++;
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}
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while( --n );
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return(y);
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}
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/* Polynomial evaluator:
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* x^n + P[0] x^(n-1) + P[1] x^(n-2) + ... + P[n]
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*/
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static __inline__ long double p1evll( x, p, n )
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long double x;
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const void *p;
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int n;
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{
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register long double y;
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register long double *P = (long double *)p;
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n -= 1;
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y = x + *P++;
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do
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{
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y = y * x + *P++;
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}
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while( --n );
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return( y );
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}
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/* Float version */
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/* polevlf.c
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* p1evlf.c
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*
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* Evaluate polynomial
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*
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*
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*
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* SYNOPSIS:
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*
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* int N;
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* float x, y, coef[N+1], polevlf[];
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*
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* y = polevlf( x, coef, N );
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*
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*
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*
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* DESCRIPTION:
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*
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* Evaluates polynomial of degree N:
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*
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* 2 N
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* y = C + C x + C x +...+ C x
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* 0 1 2 N
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*
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* Coefficients are stored in reverse order:
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*
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* coef[0] = C , ..., coef[N] = C .
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* N 0
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*
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* The function p1evl() assumes that coef[N] = 1.0 and is
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* omitted from the array. Its calling arguments are
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* otherwise the same as polevl().
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*
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*
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* SPEED:
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*
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* In the interest of speed, there are no checks for out
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* of bounds arithmetic. This routine is used by most of
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* the functions in the library. Depending on available
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* equipment features, the user may wish to rewrite the
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* program in microcode or assembly language.
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*
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*/
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/*
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Cephes Math Library Release 2.1: December, 1988
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Copyright 1984, 1987, 1988 by Stephen L. Moshier
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Direct inquiries to 30 Frost Street, Cambridge, MA 02140
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*/
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static __inline__ float polevlf(float x, const float* coef, int N )
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{
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float ans;
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float *p;
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int i;
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p = (float*)coef;
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ans = *p++;
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/*
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for( i=0; i<N; i++ )
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ans = ans * x + *p++;
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*/
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i = N;
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do
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ans = ans * x + *p++;
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while( --i );
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return( ans );
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}
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/* p1evl() */
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/* N
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* Evaluate polynomial when coefficient of x is 1.0.
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* Otherwise same as polevl.
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*/
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static __inline__ float p1evlf( float x, const float *coef, int N )
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{
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float ans;
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float *p;
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int i;
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p = (float*)coef;
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ans = x + *p++;
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i = N-1;
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do
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ans = ans * x + *p++;
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while( --i );
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return( ans );
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}
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