zchkpt.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 461 行 · 第 1/2 页

                  IF( IZERO.EQ.1 ) THEN
                     D( 1 ) = Z( 2 )
                     IF( N.GT.1 )
     $                  E( 1 ) = Z( 3 )
                  ELSE IF( IZERO.EQ.N ) THEN
                     E( N-1 ) = Z( 1 )
                     D( N ) = Z( 2 )
                  ELSE
                     E( IZERO-1 ) = Z( 1 )
                     D( IZERO ) = Z( 2 )
                     E( IZERO ) = Z( 3 )
                  END IF
               END IF
*
*              For types 8-10, set one row and column of the matrix to
*              zero.
*
               IZERO = 0
               IF( IMAT.EQ.8 ) THEN
                  IZERO = 1
                  Z( 2 ) = D( 1 )
                  D( 1 ) = ZERO
                  IF( N.GT.1 ) THEN
                     Z( 3 ) = E( 1 )
                     E( 1 ) = ZERO
                  END IF
               ELSE IF( IMAT.EQ.9 ) THEN
                  IZERO = N
                  IF( N.GT.1 ) THEN
                     Z( 1 ) = E( N-1 )
                     E( N-1 ) = ZERO
                  END IF
                  Z( 2 ) = D( N )
                  D( N ) = ZERO
               ELSE IF( IMAT.EQ.10 ) THEN
                  IZERO = ( N+1 ) / 2
                  IF( IZERO.GT.1 ) THEN
                     Z( 1 ) = E( IZERO-1 )
                     Z( 3 ) = E( IZERO )
                     E( IZERO-1 ) = ZERO
                     E( IZERO ) = ZERO
                  END IF
                  Z( 2 ) = D( IZERO )
                  D( IZERO ) = ZERO
               END IF
            END IF
*
            CALL DCOPY( N, D, 1, D( N+1 ), 1 )
            IF( N.GT.1 )
     $         CALL ZCOPY( N-1, E, 1, E( N+1 ), 1 )
*
*+    TEST 1
*           Factor A as L*D*L' and compute the ratio
*              norm(L*D*L' - A) / (n * norm(A) * EPS )
*
            CALL ZPTTRF( N, D( N+1 ), E( N+1 ), INFO )
*
*           Check error code from ZPTTRF.
*
            IF( INFO.NE.IZERO ) THEN
               CALL ALAERH( PATH, 'ZPTTRF', INFO, IZERO, ' ', N, N, -1,
     $                      -1, -1, IMAT, NFAIL, NERRS, NOUT )
               GO TO 110
            END IF
*
            IF( INFO.GT.0 ) THEN
               RCONDC = ZERO
               GO TO 100
            END IF
*
            CALL ZPTT01( N, D, E, D( N+1 ), E( N+1 ), WORK,
     $                   RESULT( 1 ) )
*
*           Print the test ratio if greater than or equal to THRESH.
*
            IF( RESULT( 1 ).GE.THRESH ) THEN
               IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $            CALL ALAHD( NOUT, PATH )
               WRITE( NOUT, FMT = 9999 )N, IMAT, 1, RESULT( 1 )
               NFAIL = NFAIL + 1
            END IF
            NRUN = NRUN + 1
*
*           Compute RCONDC = 1 / (norm(A) * norm(inv(A))
*
*           Compute norm(A).
*
            ANORM = ZLANHT( '1', N, D, E )
*
*           Use ZPTTRS to solve for one column at a time of inv(A),
*           computing the maximum column sum as we go.
*
            AINVNM = ZERO
            DO 50 I = 1, N
               DO 40 J = 1, N
                  X( J ) = ZERO
   40          CONTINUE
               X( I ) = ONE
               CALL ZPTTRS( 'Lower', N, 1, D( N+1 ), E( N+1 ), X, LDA,
     $                      INFO )
               AINVNM = MAX( AINVNM, DZASUM( N, X, 1 ) )
   50       CONTINUE
            RCONDC = ONE / MAX( ONE, ANORM*AINVNM )
*
            DO 90 IRHS = 1, NNS
               NRHS = NSVAL( IRHS )
*
*           Generate NRHS random solution vectors.
*
               IX = 1
               DO 60 J = 1, NRHS
                  CALL ZLARNV( 2, ISEED, N, XACT( IX ) )
                  IX = IX + LDA
   60          CONTINUE
*
               DO 80 IUPLO = 1, 2
*
*              Do first for UPLO = 'U', then for UPLO = 'L'.
*
                  UPLO = UPLOS( IUPLO )
*
*              Set the right hand side.
*
                  CALL ZLAPTM( UPLO, N, NRHS, ONE, D, E, XACT, LDA,
     $                         ZERO, B, LDA )
*
*+    TEST 2
*              Solve A*x = b and compute the residual.
*
                  CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
                  CALL ZPTTRS( UPLO, N, NRHS, D( N+1 ), E( N+1 ), X,
     $                         LDA, INFO )
*
*              Check error code from ZPTTRS.
*
                  IF( INFO.NE.0 )
     $               CALL ALAERH( PATH, 'ZPTTRS', INFO, 0, UPLO, N, N,
     $                            -1, -1, NRHS, IMAT, NFAIL, NERRS,
     $                            NOUT )
*
                  CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
                  CALL ZPTT02( UPLO, N, NRHS, D, E, X, LDA, WORK, LDA,
     $                         RESULT( 2 ) )
*
*+    TEST 3
*              Check solution from generated exact solution.
*
                  CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
     $                         RESULT( 3 ) )
*
*+    TESTS 4, 5, and 6
*              Use iterative refinement to improve the solution.
*
                  SRNAMT = 'ZPTRFS'
                  CALL ZPTRFS( UPLO, N, NRHS, D, E, D( N+1 ), E( N+1 ),
     $                         B, LDA, X, LDA, RWORK, RWORK( NRHS+1 ),
     $                         WORK, RWORK( 2*NRHS+1 ), INFO )
*
*              Check error code from ZPTRFS.
*
                  IF( INFO.NE.0 )
     $               CALL ALAERH( PATH, 'ZPTRFS', INFO, 0, UPLO, N, N,
     $                            -1, -1, NRHS, IMAT, NFAIL, NERRS,
     $                            NOUT )
*
                  CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
     $                         RESULT( 4 ) )
                  CALL ZPTT05( N, NRHS, D, E, B, LDA, X, LDA, XACT, LDA,
     $                         RWORK, RWORK( NRHS+1 ), RESULT( 5 ) )
*
*              Print information about the tests that did not pass the
*              threshold.
*
                  DO 70 K = 2, 6
                     IF( RESULT( K ).GE.THRESH ) THEN
                        IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                     CALL ALAHD( NOUT, PATH )
                        WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, IMAT,
     $                     K, RESULT( K )
                        NFAIL = NFAIL + 1
                     END IF
   70             CONTINUE
                  NRUN = NRUN + 5
*
   80          CONTINUE
   90       CONTINUE
*
*+    TEST 7
*           Estimate the reciprocal of the condition number of the
*           matrix.
*
  100       CONTINUE
            SRNAMT = 'ZPTCON'
            CALL ZPTCON( N, D( N+1 ), E( N+1 ), ANORM, RCOND, RWORK,
     $                   INFO )
*
*           Check error code from ZPTCON.
*
            IF( INFO.NE.0 )
     $         CALL ALAERH( PATH, 'ZPTCON', INFO, 0, ' ', N, N, -1, -1,
     $                      -1, IMAT, NFAIL, NERRS, NOUT )
*
            RESULT( 7 ) = DGET06( RCOND, RCONDC )
*
*           Print the test ratio if greater than or equal to THRESH.
*
            IF( RESULT( 7 ).GE.THRESH ) THEN
               IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $            CALL ALAHD( NOUT, PATH )
               WRITE( NOUT, FMT = 9999 )N, IMAT, 7, RESULT( 7 )
               NFAIL = NFAIL + 1
            END IF
            NRUN = NRUN + 1
  110    CONTINUE
  120 CONTINUE
*
*     Print a summary of the results.
*
      CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
 9999 FORMAT( ' N =', I5, ', type ', I2, ', test ', I2, ', ratio = ',
     $      G12.5 )
 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS =', I3,
     $        ', type ', I2, ', test ', I2, ', ratio = ', G12.5 )
      RETURN
*
*     End of ZCHKPT
*
      END