jn(3) [posix man page]
J0(P) POSIX Programmer's Manual J0(P) NAME
j0, j1, jn - Bessel functions of the first kind SYNOPSIS
#include <math.h> double j0(double x); double j1(double x); double jn(int n, double x); DESCRIPTION
The j0(), j1(), and jn() functions shall compute Bessel functions of x of the first kind of orders 0, 1, and n, respectively. An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred. RETURN VALUE
Upon successful completion, these functions shall return the relevant Bessel value of x of the first kind. If the x argument is too large in magnitude, or the correct result would cause underflow, 0 shall be returned and a range error may occur. If x is NaN, a NaN shall be returned. ERRORS
These functions may fail if: Range Error The value of x was too large in magnitude, or an underflow occurred. If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the underflow floating-point exception shall be raised. No other errors shall occur. The following sections are informative. EXAMPLES
None. APPLICATION USAGE
On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero. RATIONALE
None. FUTURE DIRECTIONS
None. SEE ALSO
feclearexcept() , fetestexcept() , isnan() , y0() , the Base Definitions volume of IEEE Std 1003.1-2001, Section 4.18, Treatment of Error Conditions for Mathematical Functions, <math.h> COPYRIGHT
Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for Information Technol- ogy -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html . IEEE
/The Open Group 2003 J0(P)
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Y0(P) POSIX Programmer's Manual Y0(P) NAME
y0, y1, yn - Bessel functions of the second kind SYNOPSIS
#include <math.h> double y0(double x); double y1(double x); double yn(int n, double x); DESCRIPTION
The y0(), y1(), and yn() functions shall compute Bessel functions of x of the second kind of orders 0, 1, and n, respectively. An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred. RETURN VALUE
Upon successful completion, these functions shall return the relevant Bessel value of x of the second kind. If x is NaN, NaN shall be returned. If the x argument to these functions is negative, -HUGE_VAL or NaN shall be returned, and a domain error may occur. If x is 0.0, -HUGE_VAL shall be returned and a range error may occur. If the correct result would cause underflow, 0.0 shall be returned and a range error may occur. If the correct result would cause overflow, -HUGE_VAL or 0.0 shall be returned and a range error may occur. ERRORS
These functions may fail if: Domain Error The value of x is negative. If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised. Range Error The value of x is 0.0, or the correct result would cause overflow. If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the overflow floating-point exception shall be raised. Range Error The value of x is too large in magnitude, or the correct result would cause underflow. If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the underflow floating-point exception shall be raised. The following sections are informative. EXAMPLES
None. APPLICATION USAGE
On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero. RATIONALE
None. FUTURE DIRECTIONS
None. SEE ALSO
feclearexcept() , fetestexcept() , isnan() , j0() , the Base Definitions volume of IEEE Std 1003.1-2001, Section 4.18, Treatment of Error Conditions for Mathematical Functions, <math.h> COPYRIGHT
Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for Information Technol- ogy -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html . IEEE
/The Open Group 2003 Y0(P)