J0(3) Linux Programmer's Manual J0(3)NAME
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl, y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions
SYNOPSIS
#include <math.h>
double j0(double x);
double j1(double x);
double jn(int n, double x);
double y0(double x);
double y1(double x);
double yn(int n, double x);
float j0f(float x);
float j1f(float x);
float jnf(int n, float x);
float y0f(float x);
float y1f(float x);
float ynf(int n, float x);
long double j0l(long double x);
long double j1l(long double x);
long double jnl(int n, long double x);
long double y0l(long double x);
long double y1l(long double x);
long double ynl(int n, long double x);
DESCRIPTION
The j0() and j1() functions return Bessel functions of x of the first kind of orders 0 and 1, respectively. The jn() function returns the
Bessel function of x of the first kind of order n.
The y0() and y1() functions return Bessel functions of x of the second kind of orders 0 and 1, respectively. The yn() function returns the
Bessel function of x of the second kind of order n.
For the functions y0(), y1() and yn(), the value of x must be positive. For negative values of x, these functions return -HUGE_VAL.
The j0f() etc. and j0l() etc. functions are versions that take and return float and long double values, respectively.
CONFORMING TO
The functions returning double conform to SVID 3, BSD 4.3, XPG4, POSIX 1003.1-2001. The other functions exist by analogy, and exist on sev-
eral platforms.
BUGS
There are errors of up to 2e-16 in the values returned by j0(), j1() and jn() for values of x between -8 and 8.
2002-08-25 J0(3)
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J0(3) Linux Programmer's Manual J0(3)NAME
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl, y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions
SYNOPSIS
#include <math.h>
double j0(double x);
double j1(double x);
double jn(int n, double x);
double y0(double x);
double y1(double x);
double yn(int n, double x);
float j0f(float x);
float j1f(float x);
float jnf(int n, float x);
float y0f(float x);
float y1f(float x);
float ynf(int n, float x);
long double j0l(long double x);
long double j1l(long double x);
long double jnl(int n, long double x);
long double y0l(long double x);
long double y1l(long double x);
long double ynl(int n, long double x);
DESCRIPTION
The j0() and j1() functions return Bessel functions of x of the first kind of orders 0 and 1, respectively. The jn() function returns the
Bessel function of x of the first kind of order n.
The y0() and y1() functions return Bessel functions of x of the second kind of orders 0 and 1, respectively. The yn() function returns the
Bessel function of x of the second kind of order n.
For the functions y0(), y1() and yn(), the value of x must be positive. For negative values of x, these functions return -HUGE_VAL.
The j0f() etc. and j0l() etc. functions are versions that take and return float and long double values, respectively.
CONFORMING TO
The functions returning double conform to SVID 3, BSD 4.3, XPG4, POSIX 1003.1-2001. The other functions exist by analogy, and exist on sev-
eral platforms.
BUGS
There are errors of up to 2e-16 in the values returned by j0(), j1() and jn() for values of x between -8 and 8.
2002-08-25 J0(3)
Data on my input file :
Ac1n1s1c2n2s2XPd1r1e1t1d2r2e2t2d3r3e3t3d4r4e4t4RT
Bh1k1p1h2k2p2NTq1y1f1m1q2y2f2m2q3y3f3m3q4y4f4m4ZN
and i want the output to be:
Ac1n1s1XPd1r1e1t1RT
Ac1n1s1XPd2r2e2t2RT
Ac1n1s1XPd3r3e3t3RT
Ac1n1s1XPd4r4e4t4RT
Ac2n2s2XPd1r1e1t1RT
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