c c file thstplr.f c c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . c . . c . copyright (c) 2004 by UCAR . c . . c . UNIVERSITY CORPORATION for ATMOSPHERIC RESEARCH . c . . c . all rights reserved . c . . c . . c . FISHPACK version 5.0 . c . . c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . c C C * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * C * * C * F I S H P A C K * C * * C * * C * A PACKAGE OF FORTRAN SUBPROGRAMS FOR THE SOLUTION OF * C * * C * SEPARABLE ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS * C * * C * (Version 5.0 , JUNE 2004) * C * * C * BY * C * * C * JOHN ADAMS, PAUL SWARZTRAUBER AND ROLAND SWEET * C * * C * OF * C * * C * THE NATIONAL CENTER FOR ATMOSPHERIC RESEARCH * C * * C * BOULDER, COLORADO (80307) U.S.A. * C * * C * WHICH IS SPONSORED BY * C * * C * THE NATIONAL SCIENCE FOUNDATION * C * * C * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * C PROGRAM THSTPLR implicit none C----------------------------------------------- C L o c a l V a r i a b l e s C----------------------------------------------- INTEGER :: IDIMF, M, MBDCND, N, NBDCND, I, J, IERROR REAL , DIMENSION(51,50) :: F REAL , DIMENSION(48) :: BDB REAL , DIMENSION(50) :: BDC, BDD, R REAL , DIMENSION(48) :: THETA REAL :: A, B, C, PI, D, ELMBDA, BDA, PERTRB, ERR, Z C----------------------------------------------- C C FROM DIMENSION STATEMENT WE GET VALUE OF IDIMF. C IDIMF = 51 A = 0. B = 1. M = 50 MBDCND = 5 C = 0. PI = 4.0*ATAN(1.0) D = PI/2. N = 48 NBDCND = 3 ELMBDA = 0. C C GENERATE AND STORE GRID POINTS FOR THE PURPOSE OF COMPUTING C BOUNDARY DATA AND THE RIGHT SIDE OF THE POISSON EQUATION. C DO I = 1, M R(I) = (FLOAT(I) - 0.5)/50. END DO DO J = 1, N THETA(J) = (FLOAT(J) - 0.5)*PI/96. END DO C C GENERATE BOUNDARY DATA. C DO J = 1, N BDB(J) = 1. - COS(4.*THETA(J)) END DO C C GENERATE BOUNDARY DATA. C BDC(:M) = 0. BDD(:M) = 0. C C BDA IS A DUMMY VARIABLE. C C C GENERATE RIGHT SIDE OF EQUATION. C DO I = 1, M F(I,:N) = 16.*R(I)**2 END DO CALL HSTPLR (A, B, M, MBDCND, BDA, BDB, C, D, N, NBDCND, BDC, BDD 1 , ELMBDA, F, IDIMF, PERTRB, IERROR) C C COMPUTE DISCRETIZATION ERROR. THE EXACT SOLUTION IS C C U(R,THETA) = R**4*(1 - COS(4*THETA)) C ERR = 0. DO I = 1, M DO J = 1, N Z = ABS(F(I,J)-R(I)**4*(1.-COS(4.*THETA(J)))) ERR = AMAX1(Z,ERR) END DO END DO ! Print earlier output from platforms with 32 and 64 bit floating point ! arithemtic followed by the output from this computer WRITE (*, *) ' HSTPLR TEST RUN *** ' WRITE (*, *) 1 ' Previous 64 bit floating point arithmetic result ' WRITE (*, *) ' IERROR = 0, Discretization Error = 1.1303E-3' WRITE (*, *) 1 ' Previous 32 bit floating point arithmetic result ' WRITE (*, *) ' IERROR = 0, Discretization Error = 1.1300E-3' WRITE (*, *) ' The output from your computer is: ' WRITE (*, *) ' IERROR =', IERROR, ' Discretization Error = ', 1 ERR STOP END PROGRAM THSTPLR