CERNLIB - Short writeups

CERN Program Library -- Short Writeups

Index of Routines by entry points

B - Elementary Functions

PRMFCT (B002) HTML, PS: Prime Numbers and Prime Factor Decomposition
RBINOM (B100) HTML, PS: Binomial Coefficient
ATG (B101) HTML, PS: Arc Tangent Function
ASINH (B102) HTML, PS: Hyperbolic Arcsine
RPLNML (B105) HTML, PS: Value of a Polynomial
RSRTNT (B300) HTML, PS: An integral of type R(x,sqrt(a+bx+x²))

C- Equations and Special Functions

RZEROX (C200) HTML, PS

Zero of a Function of One Real Variable

RSNLEQ (C201) HTML, PS

Numerical Solution of Systems of Nonlinear Equations

RMULLZ (C202) HTML, PS

Zeros of a Real Polynomial

RZERO (C205) HTML, PS

Zero of a Function of One Real Variable

RRTEQ3 (C207) HTML, PS

Roots of a Cubic Equation

RRTEQ4 (C208) HTML, PS

Roots of a Quartic Equation

CPOLYZ (C209) HTML, PS

Zeros of a Complex Polynomial

NZERFZ (C210) HTML, PS

Number of Zeros of a Complex Function

ERF (C300) HTML, PS

Error Function and Complementary Error Function

FREQ (C301) HTML, PS

Normal Frequency Function

GAMMA (C302) HTML, PS

Gamma Function for Positive Argument

GAMMF (C303) HTML, PS

Gamma Function for Real Argument

ALGAMA (C304) HTML, PS

Logarithm of the Gamma Function

CGAMMA (C305) HTML, PS

Gamma Function for Complex Argument

CLGAMA (C306) HTML, PS

Logarithm of the Gamma Function for Complex Argument

CCLBES (C309) HTML, PS

Coulomb Wave, Bessel, and Spherical Bessel Functions for Complex Argument(s) and Order

BESJ0 (C312) HTML, PS

Bessel Functions J and Y of Orders Zero and One

BESI0 (C313) HTML, PS

Modified Bessel Functions I and K of Orders Zero and One

RRIZET (C315) HTML, PS

Riemann Zeta Function

RPSIPG (C316) HTML, PS

Psi (Digamma) and Polygamma Functions

CPSIPG (C317) HTML, PS

Psi (Digamma) and Polygamma Functions for Complex Argument

RELFUN (C318) HTML, PS

Jacobian Elliptic Functions sn, cn, dn

CELFUN (C320) HTML, PS

Jacobian Elliptic Functions sn, cn, dn for Complex Argument

CGPLG (C321) HTML, PS

Nielsen's Generalized Polylogarithm

RFRSIN (C322) HTML, PS

Fresnel Integrals

RFERDR (C323) HTML, PS

Fermi-Dirac Function

RATANI (C324) HTML, PS

Arctangent integral

RCLAUS (C326) HTML, PS

Clausen Function

BSIR4 (C327) HTML, PS

Modified Bessel Functions I and K of Order 1/4, 1/2 and 3/4

CWHITM (C328) HTML, PS

Whittaker Function M of Complex Argument and Complex Indices

RASLGF (C330) HTML, PS

Legendre and Associated Legendre Functions

RFCONC (C331) HTML, PS

Conical Functions of the First Kind

RDILOG (C332) HTML, PS

Dilogarithm Function

RGAPNC (C334) HTML, PS

Incomplete Gamma Functions

CWERF (C335) HTML, PS

Complex Error Function

RSININ (C336) HTML, PS

Sine and Cosine Integrals

REXPIN (C337) HTML, PS

Exponential Integral

CEXPIN (C338) HTML, PS

Exponential Integral for Complex Argument

RDAWSN (C339) HTML, PS

Dawson's Integral

BSIR3 (C340) HTML, PS

Modified Bessel Functions I and K of Order 1/3 and 2/3

BSKA (C341) HTML, PS

Modified Bessel Functions K of Certain Order

RSTRH0 (C342) HTML, PS

Struve Functions of Orders Zero and One

BSJA (C343) HTML, PS

Bessel Functions J and I with Positive Argument and Non-Integer Order

CBSJA (C344) HTML, PS

Bessel Functions J with Complex Argument and Non-Integer Order

RBZEJY (C345) HTML, PS

Zeros of Bessel Functions J and Y

RELI1 (C346) HTML, PS

Elliptic Integrals of First, Second, and Third Kind

RELI1C (C347) HTML, PS

Complete Elliptic Integrals of First, Second, and Third Kind

CELINT (C348) HTML, PS

Elliptic Integral for Complex Argument

RTHETA (C349) HTML, PS

Jacobian Theta Functions

D - Integration, Minimization, Non-linear Fitting

SIMPS (D101) HTML, PS: Integration by Simpson's Rule
RADAPT (D102) HTML, PS: Adaptive Gaussian Quadrature
GAUSS (D103) HTML, PS: Adaptive Gaussian Quadrature
RCAUCH (D104) HTML, PS: Cauchy Principal Value Integration
RTRINT (D105) HTML, PS: Integration over a Triangle
RGS56P (D106) HTML, PS: Gaussian Quadrature with Five- and Six-Point Rules
RGQUAD (D107) HTML, PS: N-Point Gaussian Quadrature
TRAPER (D108) HTML, PS: Trapezoidal Rule Integration with an Estimated Error
RGMLT (D110) HTML, PS: Gaussian Quadrature for Multiple Integrals
CGAUSS (D113) HTML, PS: Adaptive Complex Integration Along a Line Segment
RIWIAD (D114) HTML, PS: Adaptive Multidimensional Monte-Carlo Integration
RADMUL (D120) HTML, PS: Adaptive Quadrature for Multiple Integrals over N-Dimensional Rectangular Regions
DIVON4 (D151) HTML, PS: Multidimensional Integration or Random Number Generation
RRKSTP (D200) HTML, PS: First-order Differential Equations (Runge--Kutta)
RDEQBS (D201) HTML, PS: First-order Differential Equations (Gragg--Bulirsch--Stoer)
RDEQMR (D202) HTML, PS: First-order Differential Equations (Runge--Kutta--Merson)
RRKNYS (D203) HTML, PS: Second-order Differential Equations (Runge--Kutta--Nyström)
EPDE1 (D300) HTML, PS: Elliptic Partial Differential Equation
ELPAHY (D302) HTML, PS: Fast Partial Differential Equation Solver
RDERIV (D401) HTML, PS: Numerical Differentiation
LEAMAX (D501) HTML, PS: Constrained Non-Linear Least Squares and Maximum Likelihood Estimation
RMINFC (D503) HTML, PS: Minimum of a Function of One Variable
MINUIT (D506) HTML, PS: Function Minimization and Error Analysis
FUMILI (D510) HTML, PS: Fitting Chisquare and Likelihood Functions
RFRDH1 (D601) HTML, PS: Solution of a Linear Fredholm Integral Equation of Second Kind
RFT (D700) HTML, PS: Real Fast Fourier Transform
CFT (D702) HTML, PS: Complex Fast Fourier Transform
RFSTFT (D705) HTML, PS: Real Fast Fourier Transform
CFSTFT (D706) HTML, PS: Complex Fast Fourier Transform

E- Interpolation, Approximations, Linear Fitting

POLINT (E100) HTML, PS: Polynomial Interpolation
MAXIZE (E102) HTML, PS: Maximum and Minimum Elements of Arrays
AMAXMU (E103) HTML, PS: Largest Absolute Number in Scattered Vector
FINT (E104) HTML, PS: Multidimensional Linear Interpolation
DIVDIF (E105) HTML, PS: Function Interpolation
LOCATR (E106) HTML, PS: Binary Search for Element in Ordered Array
RLSQPM (E201) HTML, PS: Least Squares Polynomial Fit
LSQ (E208) HTML, PS: Least Squares Polynomial Fit
NORBAS (E210) HTML, PS: Polynomial Splines / Normalized B-Splines
RCSPLN (E211) HTML, PS: Cubic Splines and their Integrals
RCHEBN (E222) HTML, PS: Solution of Overdetermined Linear System in the Chebychev Norm
TL (E230) HTML, PS: Constrained and Unconstrained Linear Least Squares Fitting
LFIT (E250) HTML, PS: Least-Squares Fit to Straight Line
PARLSQ (E255) HTML, PS: Least-Squares Fit to Parabola
RCHECF (E406) HTML, PS: Chebyshev Series Coefficients of a Function
RCHSUM (E407) HTML, PS: Summation of Chebyshev Series
RCHPWS (E408) HTML, PS: Conversion of Chebyshev to Power and Power to Chebyshev Series
RTRGSM (E409) HTML, PS: Summation of Trigonometric Series

F- Matrices, Vectors and Linear Equations

LAPACK (F001) HTML, PS: Linear Algebra Package
RVADD (F002) HTML, PS: Elementary Vector Processing
RMADD (F003) HTML, PS: Elementary Matrix Processing
RMMLT (F004) HTML, PS: Matrix Multiplication
RINV (F010) HTML, PS: Linear Equations, Matrix Inversion
RFACT (F011) HTML, PS: Repeated Solution of Linear Equations, Matrix Inversion, Determinant
RSINV (F012) HTML, PS: Symmetric Positive-Definite Linear Systems
POLROT (F105) HTML, PS: Rotate a Three-Dimensional Polar Coordinate System
MXPACK (F110) HTML, PS: TC Matrix Manipulation Package
TR (F112) HTML, PS: Manipulation of Triangular and Symmetric Matrices
DOTI (F116) HTML, PS: Scalar Product of Two Space-Time Vectors
CROSS (F117) HTML, PS: Vector Product of Two 3-Vectors
ROT (F118) HTML, PS: Rotating a 3-Vector
VECMAN (F121) HTML, PS: Vector Algebra
SCATTER (F122) HTML, PS: Search Operations on Sparse Vectors
BVSL (F123) HTML, PS: Bit Vector Manipulation Package
MXDIPR (F150) HTML, PS: Direct or Tensor Matrix Product
RBEQN (F406) HTML, PS: Banded Linear Equations
RLHOIN (F500) HTML, PS: Linear Homogeneous Inequalities

G - Statistical Analysis and Probability

PROB (G100) HTML, PS: Upper Tail Probability of Chi-Squared Distribution
CHISIN (G101) HTML, PS: Inverse of Chi-Square Distribution
PROBKL (G102) HTML, PS: Kolmogorov Distribution
TKOLMO (G103) HTML, PS: Kolmogorov Test
STUDIS (G104) HTML, PS: Student's \ t-Distribution and Its Inverse
GAUSIN (G105) HTML, PS: Inverse of Normal Frequency Function
GAMDIS (G106) HTML, PS: Gamma Distribution
LANDAU (G110) HTML, PS: Landau Distribution
VAVLOV (G115) HTML, PS: Approximate Vavilov Distribution and its Inverse
VVILOV (G116) HTML, PS: Vavilov Density and Distribution Functions
RANF (G900) HTML, PS: Random Number Generator

H - Operation Research Techniques and Management Science

RSMPLX (H101) HTML, PS: Linear Optimization Using the Simplex Algorithm
ASSNDX (H301) HTML, PS: Assignment Problem

I - Input/Output

EPIO (I101) HTML, PS: EP Standard Format Input/Output Package
KUIP (I202) HTML, PS: KUIP - Kit for a User Interface Package
FFREAD (I302) HTML, PS: Format-Free Input Processing

J - Output and Graphical Data Presentation

VIZPRI (J200) HTML, PS: Print Large Characters
BINSIZ (J530) HTML, PS: Reasonable Intervals for Histogram Binning

L - Executive Routines

COMIS (L210) HTML, PS: COMIS - Compilation and Interpretation System
PATCHY (L400) HTML, PS: Source Code Maintenance

M - Data Handling

SORTZV (M101) HTML, PS: Sort One-Dimensional Array
FLPSOR (M103) HTML, PS: Sort One-Dimensional Array into Itself
SORCHA (M104) HTML, PS: Sort One-Dimensional Character Array into Itself
SORTR (M107) HTML, PS: Sort Rows of a Matrix
SORTRQ (M109) HTML, PS: Sort Rows of a Matrix
PSCALE (M215) HTML, PS: Find Power-of-Ten Scale for Printing
IE3CONV (M220) HTML, PS: Conversion To and From IEEE Number Format
CHTOI (M400) HTML, PS: Portable Conversion Between Type CHARACTER and Type INTEGER
UBUNCH (M409) HTML, PS: Concentrate and Disperse Character Strings
BITBYT (M421) HTML, PS: Package for Handling Bits and Bytes
PACBYT (M422) HTML, PS: Handling Packed Vectors of Bytes
INCBYT (M423) HTML, PS: Increment a Byte of a Packed Vector
BLOW (M426) HTML, PS: Unpack Full Words into Bytes
PKCHAR (M427) HTML, PS: Pack/Unpack Continuous Byte-strings
LOCBYT (M428) HTML, PS: Search for Byte-Content
NUMBIT (M429) HTML, PS: Number of One-Bits in a Word
IFROMC (M431) HTML, PS: Convert Between Character String and Packed ASCII Form
CHPACK (M432) HTML, PS: Utility Routines for Character String Parsing and Construction
INDEXX (M433) HTML, PS: Utility Package for Character Manipulation
VXINV (M434) HTML, PS: Fast VAX Byte Inversion
BUNCH (M436) HTML, PS: Pack Bytes into Full Words
GETBIT (M437) HTML, PS: Set or Retrieve a Bit in a String
BTMOVE (M438) HTML, PS: Move Bit String
GETBYT (M439) HTML, PS: Set or Retrieve a Bit String
BITPAK (M441) HTML, PS: Handling Bits and Bytes, Bit Zero the Least Significant
NAMEFD (M442) HTML, PS: Fortran Emulation of VM/CMS NAMEFIND Command
IUSAME (M501) HTML, PS: Locating a String of Same Words
UOPTC (M502) HTML, PS: Decoding Options Characters
UBITS (M503) HTML, PS: Locate the One-Bits of a Word or an Array
LENOCC (M507) HTML, PS: Occupied Length of a Character String
BITPOS (M508) HTML, PS: Find One-Bits in a String

N - Debugging, Error Handlng

KERSET (N001) HTML, PS: Error Processing for Sections A-H of KERNLIB
MTLSET (N002) HTML, PS: Error Processing for MATHLIB
LOCF (N100) HTML, PS: Address of a Variable
IUWEED (N103) HTML, PS: Detect Indefinite and Infinite in an Array
TRACEQ (N105) HTML, PS: Print Trace-Back
TCDUMP (N203) HTML, PS: Memory Dump

Q - Service or Housekeeping Programming Aids

ZEBRA (Q100) HTML, PS: Dynamic Data Structure and Memory Manager
HIGZ (Q120) HTML, PS: High Level Interface to Graphics and Zebra
PAW (Q121) HTML, PS: PAW - Physics Analysis Workstation Package
SIGMA (Q122) HTML, PS: SIGMA - System for Interactive Graphical Mathematical Applications
FATMEN (Q123) HTML, PS: Distributed File and Tape Management System
CSPACK (Q124) HTML, PS: Client Server Routines and Utilities
HEPDB (Q180) HTML, PS: Distributed Database Management System
ZBOOK (Q210) HTML, PS: Dynamic Memory Management
INDENT (Q901) HTML, PS: Indent Fortran Source
FLOP (Q902) HTML, PS: FLOP - Fortran Language Oriented Parser
CONVERT (Q904) HTML, PS: Fortran 77 to Fortran 90 source form conversion tool
WYLBUR (Q905) HTML, PS: Wylbur Phoenix -- a Line Editor for ASCII Text Files

T - Magnet and Beam Design, Electronics

POISCR (T604) HTML, PS: Solution of Poisson's or Laplace's Equation in Two-Dimensional Regions

U - Quantum Mechanics, Particle Physics

LOREN4 (U101) HTML, PS: Lorentz Transformation
LORENF (U102) HTML, PS: Lorentz Transformations
RWIG3J (U111) HTML, PS: Wigner 3-j, 6-j, 9-j Symbols; Clebsch-Gordan, Racah W-, Jahn U-Coefficients
RTCLGN (U112) HTML, PS: Clebsch-Gordan Coefficients in Rational Form
RDJMNB (U501) HTML, PS: Beta-Term in Wigner's D-Function

V - Random Numbers and General Purpose Utilities

RNDM (V104) HTML, PS: Uniform Random Numbers
NRAN (V105) HTML, PS: Arrays of Uniform Random Numbers
RANMAR (V113) HTML, PS: Fast Uniform Random Number Generator
RANECU (V114) HTML, PS: Uniform Random Number Generator
RANLUX (V115) HTML, PS: Uniform Random Numbers of Guaranteed Quality
RM48 (V116) HTML, PS: Double Precision Uniform Random Numbers
RNORML (V120) HTML, PS: Gaussian-distributed Random Numbers
CORSET (V122) HTML, PS: Correlated Gaussian-distributed Random Numbers
RAN3D (V130) HTML, PS: Random Three-Dimensional Vectors
RN3DIM (V131) HTML, PS: Random Two- and Three-Dimensional Vectors
RNGAMA (V135) HTML, PS: Gamma or Chi-Square Random Numbers
RNPSSN (V136) HTML, PS: Poisson Random Numbers
RNBNML (V137) HTML, PS: Binomial Random Numbers
RNMNML (V138) HTML, PS: Multinomial Random Numbers
RNHRAN (V149) HTML, PS: Random Numbers According to Any Histogram
HISRAN (V150) HTML, PS: Random Numbers According to Any Histogram
FUNRAN (V151) HTML, PS: Random Numbers According to Any Function
FUNLUX (V152) HTML, PS: Random Numbers According to Any Function
PERMU (V202) HTML, PS: Permutations and Combinations
UZERO (V300) HTML, PS: Preset Parts of an Array
UCOPY (V301) HTML, PS: Copy an Array
UCOCOP (V302) HTML, PS: Copy a Scattered Vector
IUCOMP (V304) HTML, PS: Search a Vector for a Given Element
PROXIM (V306) HTML, PS: Adjusting an Angle to Another Angle
GRAPH (V401) HTML, PS: Find Compatible Node-Nets in an Incompatibility Graph
RVNSPC (V700) HTML, PS: Volume of Intersection of a Circular Cylinder with a Sphere

W - High Energy Physics Simulation, Kinematics, Phase Space

TRSPRT (W150) HTML, PS: Transport, Second-Order Beam Optics
TURTLE (W151) HTML, PS: Beam Transport Simulation, Including Decay
FOWL (W505) HTML, PS: General Monte-Carlo Phase-Space
GENBOD (W515) HTML, PS: N-Body Monte-Carlo Event Generator

Y - Statistical Data Analysis and Presentation

IUCHAN (Y201) HTML, PS: Find Histogram-Channel
HBOOK (Y250) HTML, PS: Statistical Analysis and Histogramming
HPLOT (Y251) HTML, PS: HPLOT : HBOOK Graphics Interface for Histogram Plotting
KERNGT (Z001) HTML, PS: Print KERNLIB Version Numbers
DATIME (Z007) HTML, PS: Job Time and Date
CALDAT (Z009) HTML, PS: Calendar Date Conversion
UMON (Z020) HTML, PS: Usage Monitor for VAX/VMS
ABEND (Z035) HTML, PS: Abnormal Termination of Fortran Programs
ABUSER (Z036) HTML, PS: Intercept a Fortran Abend on IBM
VAXAST (Z037) HTML, PS: Routines to Handle Control-C Interrupts on Vax
QNEXTE (Z041) HTML, PS: Restart of Next Event
JUMPXN (Z042) HTML, PS: Calling a Subroutine by its Address
INTRAC (Z044) HTML, PS: Identify Job as Interactive
IFBATCH (Z045) HTML, PS: Identify Job as Running in Batch Mode
XINOUT (Z203) HTML, PS: Short List Reading and Writing
IARGC (Z264) HTML, PS: Returns Command Line Arguments
CINTF (Z265) HTML, PS: Immediate Interface Routines to the C Library
WHOAMI (Z266) HTML, PS: Get the name of the executing module
FTOVAX (Z267) HTML, PS: Convert File-name to and from UNIX Syntax
VAXTIO (Z301) HTML, PS: VAX Fortran Interface for Reading and Writing 'Foreign' Tapes
KAPACK (Z303) HTML, PS: Random Access I/O Using Keywords
CFIO (Z310) HTML, PS: Handle Fixed-length Records on Unix Streams
CIO (Z311) HTML, PS: Handle Unix Disk Files
TMREAD (Z313) HTML, PS: Terminal Dialogue Routines

If you find errors or have suggestions, please contact:

M.G. (24 Feb. 1997)