Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X)Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet urs to make one paper copy for their own personal u. Further reproduction, or any copying of machine-readable files (including this one) to any rver computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website or call 1-800-872-7423 (North America only),or nd email to (outside North America).Computer Programs by Chapter and Section1.0flmoon calculate phas of the moon by date1.1julday Julian Day number from calendar date1.1badluk Friday the13th when the moon is full1.1caldat calendar date from Julian day number2.1gaussj Gauss-Jordan matrix inversion and linear equation solution2.3ludcmp linear equation solution,LU decomposition2.3lubksb linear equation solution,backsubstitution2.4tridag solution of tridiagonal systems2.4banmul multiply vector by band diagonal matrix2.4bandec band diagonal systems,decomposition2.4banbks band diagonal systems,backsubstitution2.5mprove linear equation solution,iterative improvement2.6svbksb singular value backsubstitution2.6svdcmp singular value decomposition of a matrix2.6pythag calculate(a2+b2)1/2without overflow2.7cyclic solution of cyclic tridiagonal systems2.7sprsin convert matrix to spar format2.7sprsax product of spar matrix and vector2.7sprstx product of transpo spar matrix and vector2.7sprstp transpo of spar matrix2.7s
prspm pattern multiply two spar matrices2.7sprstm threshold multiply two spar matrices2.7linbcg biconjugate gradient solution of spar systems2.7snrm ud by linbcg for vector norm2.7atimes ud by linbcg for spar multiplication2.7asolve ud by linbcg for preconditioner2.8vander solve Vandermonde systems2.8toeplz solve Toeplitz systems2.9choldc Cholesky decomposition2.9cholsl Cholesky backsubstitution2.10qrdcmp QR decomposition2.10qrsolv QR backsubstitution2.10rsolv right triangular backsubstitution2.10qrupdt update a QR decomposition2.10rotate Jacobi rotation ud by qrupdt 3.1polint polynomial interpolation
3.2ratint rational function interpolation
我与儿媳3.3spline construct a cubic spline
3.3splint cubic spline interpolation楚考烈王
3.4locate arch an ordered table by biction
xxiv
Computer Programs by Chapter and Section xxv Sample page from NUMERICAL RECIPES IN FOR
TRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X)Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet urs to make one paper copy for their own personal u. Further reproduction, or any copying of machine-readable files (including this one) to any rver computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website or call 1-800-872-7423 (North America only),or nd email to (outside North America).3.4hunt arch a table when calls are correlated3.5polcoe polynomial coefficients from table of values3.5polcof polynomial coefficients from table of values3.6polin2two-dimensional polynomial interpolation3.6bcucof construct two-dimensional bicubic3.6bcuint two-dimensional bicubic interpolation3.6splie2construct two-dimensional spline3.6splin2two-dimensional spline interpolation4.2trapzd trapezoidal rule4.2qtrap integrate using trapezoidal rule4.2qsimp integrate using Simpson’s rule4.3qromb integrate using Romberg adaptive method4.4midpnt extended midpoint rule4.4qromo integrate using open Romberg adaptive method4.4midinf integrate a function on a mi-infinite interval4.4midsql integrate a function with lower square-root singularity4.4midsqu integrate a function with upper square-root singularity4.4midexp integrate a function that decreas exponentially4.5qgaus integrate a function by Gaussian quadratures4.5gauleg Gauss-Legendre weights and abscissas4.5gaulag Gauss-Laguerre weights and abscissas4.5gauher Gauss-Hermite
weights and abscissas4.5gaujac Gauss-Jacobi weights and abscissas4.5gaucof quadrature weights from orthogonal polynomials4.5orthog construct nonclassical orthogonal polynomials4.6quad3d integrate a function over a three-dimensional space5.1eulsum sum a ries by Euler–van Wijngaarden algorithm5.3ddpoly evaluate a polynomial and its derivatives5.3poldiv divide one polynomial by another5.3ratval evaluate a rational function5.7dfridr numerical derivative by Ridders’method5.8chebftfit a Chebyshev polynomial to a function5.8chebev Chebyshev polynomial evaluation5.9chder derivative of a function already Chebyshevfitted5.9chint integrate a function already Chebyshevfitted5.10chebpc polynomial coefficients from a Chebyshevfit5.10pcshft polynomial coefficients of a shifted polynomial5.11pccheb inver of chebpc;u to economize power ries5.12pade Pad´e approximant from power ries coefficients
儿时的点点滴滴5.13ratlsq rationalfit by least-squares method
6.1gammln logarithm of gamma function
6.1factrl factorial function
6.1bico binomial coefficients function
6.1factln logarithm of factorial function
xxvi Computer Programs by Chapter and Section Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X)Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet urs to make one paper copy for their own personal u. Further reproduction, or any copying of machine-readable files (including this one) to any rver computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website or call 1-800-872-7423 (North America only),or nd email to (outside North America).6.1beta beta function6.2gammp incomplete gamma function6.2gammq complement of incomplete gamma function6.2gr ries ud by gammp and gammq6.2gcf continued fraction ud by gammp and gammq6.2erf error function6.2erfc complementary error function6.2erfcc complementary error function,conci routine6.3expint exponential integral E n6.3ei exponential integral Ei6.4betai incomplete beta function6.4betacf continued fraction ud by betai6.5bessj0Besl function J06.5bessy0Besl function Y06.5bessj1Besl function J16.5bessy1Besl function Y16.5bessy Besl function Y of general integer order6.5bessj Besl function J of general integer order6.6bessi0modified Besl function I06.6bessk0modified Besl function K06.6bessi1modified Besl function I16.6bessk1modified Besl function K16.6bessk modified Besl function K of integer order6.6bessi modified Besl fun
ction I of integer order6.7bessjy Besl functions of fractional order6.7beschb Chebyshev expansion ud by bessjy6.7bessik modified Besl functions of fractional order6.7airy Airy functions6.7sphbes spherical Besl functions j n and y n6.8plgndr Legendre polynomials,associated(spherical harmonics)6.9frenel Fresnel integrals S(x)and C(x)6.9cisi cosine and sine integrals Ci and Si6.10dawson Dawson’s integral6.11rf Carlson’s elliptic integral of thefirst kind6.11rd Carlson’s elliptic integral of the cond kind6.11rj Carlson’s elliptic integral of the third kind6.11rc Carlson’s degenerate elliptic integral6.11ellf Legendre elliptic integral of thefirst kind6.11elle Legendre elliptic integral of the cond kind6.11ellpi Legendre elliptic integral of the third kind6.11sncndn Jacobian elliptic functions
6.12hypgeo complex hypergeometric function
6.12hypr complex hypergeometric function,ries evaluation
6.12hypdrv complex hypergeometric function,derivative of
7.1ran0random deviate by Park and Miller minimal standard 7.1ran1random deviate,minimal standard plus shuffle
嘴巴干怎么办
怎样嫩肤
Computer Programs by Chapter and Section xxvii Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X)Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet urs to make one paper copy for their own personal u. Further reproduction, or any copying of machine-readable files (including this one) to any rver computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website or call 1-800-872-7423 (North America only),or nd email to (outside North America).7.1ran2random deviate by L’Ecuyer long period plus shuffle7.1ran3random deviate by Knuth subtractive method7.2expdev exponential random deviates7.2gasdev normally distributed random deviates7.3gamdev gamma-law distribution random deviates7.3poidev Poisson distributed random deviates7.3bnldev binomial distributed random deviates7.4irbit1random bit quence7.4irbit2random bit quence7.5psdes“pudo-DES”hashing of64bits7.5ran4random deviates from DES-like hashing7.7sobq Sobol’s quasi-random quence7.8vegas adaptive multidimensional Monte Carlo integration7.8rebin sample rebinning ud by vegas7.8mir recursive multidimensional Monte Carlo integration7.8ranpt get random point,ud by mir8.1piksrt sort an array by straight inrtion8.1piksr2sort two arrays by straight inrtion8.1shell sort an array by Shell’s method8.2sort sort an array by quicksort method8.2
sort2sort two arrays by quicksort method8.3hpsort sort an array by heapsort method8.4indexx construct an index for an array8.4sort3sort,u an index to sort3or more arrays8.4rank construct a rank table for an array8.5lectfind the N th largest in an array8.5lipfind the N th largest,without altering an array8.5hplfind M largest values,without altering an array8.6eclass determine equivalence class from list8.6eclazz determine equivalence class from procedure9.0scrsho graph a function to arch for roots9.1zbrac outward arch for brackets on roots9.1zbrak inward arch for brackets on roots9.1rtbisfind root of a function by biction9.2rtflspfind root of a function by fal-position9.2rtcfind root of a function by cant method9.2zriddrfind root of a function by Ridders’method9.3zbrentfind root of a function by Brent’s method9.4rtnewtfind root of a function by Newton-Raphson
9.4rtsafefind root of a function by Newton-Raphson and biction 9.5laguerfind a root of a polynomial by Laguerre’s method
9.5zroots roots of a polynomial by Laguerre’s method with
deflation
9.5zrhqr roots of a polynomial by eigenvalue methods
9.5qroot complex or double root of a polynomial,Bairstow
xxviii Computer Programs by Chapter and Section Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X)Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet urs to make one paper copy for their own personal u. Further reproduction, or any copying of machine-readable files (including this one) to any rver computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website or call 1-800-872-7423 (North America only),or nd email to (outside North America).9.6mnewt Newton’s method for systems of equations9.7lnsrch arch along a line,ud by newt9.7newt globally convergent multi-dimensional Newton’s method9.7fdjacfinite-difference Jacobian,ud by newt9.7fmin norm of a vector function,ud by newt9.7broydn cant method for systems of equations10.1mnbrak bracket the minimum of a function10.1goldenfind minimum of a function by golden ction arch10.2brentfind minimum of a function by Brent’s method10.3dbrentfind minimum of a function using derivative information10.4amoeba minimize in N-dimensions by downhill simplex method10.4amotry evaluate a trial point,ud by amoeba10.5powell minimize in N-dimensions by Powell’s method10.5linmin min奏自由
余额支付
imum of a function along a ray in N-dimensions10.5f1dim function ud by linmin10.6frprmn minimize in N-dimensions by conjugate gradient10.6df1dim alternative function ud by linmin10.7dfpmin minimize in N-dimensions by variable metric method10.8simplx linear programming maximization of a linear function10.8simp1linear programming,ud by simplx10.8simp2linear programming,ud by simplx10.8simp3linear programming,ud by simplx10.9anneal traveling salesman problem by simulated annealing10.9revcst cost of a reversal,ud by anneal10.9revers do a reversal,ud by anneal10.9trncst cost of a transposition,ud by anneal10.9trnspt do a transposition,ud by anneal10.9metrop Metropolis algorithm,ud by anneal10.9amebsa simulated annealing in continuous spaces10.9amotsa evaluate a trial point,ud by amebsa11.1jacobi eigenvalues and eigenvectors of a symmetric matrix11.1eigsrt eigenvectors,sorts into order by eigenvalue11.2tred2Houholder reduction of a real,symmetric matrix11.3tqli eigensolution of a symmetric tridiagonal matrix11.5balanc balance a nonsymmetric matrix11.5elmhes reduce a general matrix to Hesnberg form11.6hqr eigenvalues of a Hesnberg matrix12.2four1fast Fourier transform(FFT)in one dimension
12.3twofft fast Fourier transform of two real functions 12.3realft fast Fourier transform of a single real function 12.3sinft fast sine transform
缅甸战争
12.3cosft1fast cosine transform with endpoints
12.3cosft2“staggered”fast cosine transform
12.4fourn fast Fourier transform in multidimensions
