Libraries for HEP Computing (LHC++)

Requirements for "Special Functions" in the NAG C Library

It is generally agreed that the NAG C Library meets our overall requirements for mathematical software.

• See, for example, the presentation by Rob Veenhof at the LHC++ workshop June 9-10 1997 on MATHLIB requirements

However, some functions are missing, particularly those currently provided in the CERN Program Library in section C.

A list of the missing routines is given below, together with source code and documentation.

Note that the source code includes C preprocessor statements. The include files are given below. As we require only the double precision versions of these functions, please assume that CERNLIB_DOUBLE is defined.

• imp64.inc
• pilot.h
• Test programs

Recent additions

Added 28th June 1999:

• C207: Roots of a cubic equation (DRTEQ3)
• documentation and code
• C208: Roots of a quartic equation (DRTEQ4)
• documentation and code

• C304: Logarithm of the Gamma Function (ALGAMA64)
  • documentation and code
• C330: Legendre and Associated Legendre Functions (ASLGF64)
  • documentation and code
• C313: Modified Bessel Functions I and K of Orders Zero and One (BESI064)
  • documentation and code
• C312: Bessel Functions J and Y of Orders Zero and One (BESJ064)
  • documentation and code
• C327: Modified Bessel Functions I and K of Order 1/4, 1/2 and 3/4 (BSIR364)
  • documentation and code
• C345: Zeros of Bessel Functions J and Y (BZEJY64)
  • documentation and code
• C320: Jacobian Elliptic Functions sn, cn, dn for Complex Argument (CELFUN64)
  • documentation and code
• C348: Elliptic Integral for Complex Argument (CELINT64)
  • documentation and code
• C341: Modified Bessel Functions K of Certain Order (DBSKA64)
  • documentation and code
• G110: Landau Distribution (DENLAN)
  • documentation and code
• G110: Landau Distribution (DIFLAN)
  • documentation and code
• G110: Landau Distribution (DISLAN)
  • documentation and code
• G110: Landau Distribution (RANLAN)
  • documentation and code
• C316: Psi (Digamma) and Polygamma Functions (RPSIPG64)
  • documentation and code
• C349: Jacobian Theta Functions (RTHETA64)
  • documentation and code
• G116: Vavilov Density and Distribution Functions (VVIDEN)
  • documentation and code
• G116: Vavilov Density and Distribution Functions (VVISET)
  • documentation and code
• C309: Coulomb Wave, Bessel, and Spherical Bessel Functions for Complex Argument(s) and Order (WCLBES)
  • documentation and code
• C317: Psi (Digamma) and Polygamma Functions for Complex Argument (WPSIPG)
  • documentation and code
• G110: Landau Distribution (XM1LAN)
  • documentation and code
• G110: Landau Distribution (XM2LAN)
  • documentation and code