SUBROUTINE TCXPYI ( NOUT, EPSILN, THRESH, NZMAX2, 1 NUMNZ, NZVALU, NUMA, AVALUE, 2 X, XSAVE, XTRUE, Y, YSAVE, 3 YTRUE , INDX, INDXT, LIST, ERRCNT, 4 ERRMAX ) C C ================================================================== C ================================================================== C ==== TCXPYI -- CERTIFY CAXPYI ==== C ================================================================== C ================================================================== C C SUBROUTINE TCXPYI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CAXPYI. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, NUMA, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*), 1 LIST (*) C REAL EPSILN, THRESH C COMPLEX AVALUE (*), 1 X (*), XSAVE (*), XTRUE (*), 2 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C COMPLEX A, ATRUE, CLOBBR C INTEGER COUNT, I, ICLOBR, J, KA, 1 KINDX, KNZ, N, NZ, NZTRUE C REAL ERR, S, T C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C EXTERNAL ICOPY, CCOPY, IINIT, CINIT, GNINDX, 1 IVSAME, CVSAME, CAXPYI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 700 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ----------------------- C ... FOR EACH VALUE OF A C ----------------------- C DO 600 KA = 1, NUMA C ATRUE = AVALUE(KA) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C CALL IINIT ( N, -1, LIST, 1 ) C DO 150 I = 1, NZTRUE LIST (INDXT(I)) = I 150 CONTINUE C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C I = MIN ( N, N-NZTRUE ) J = N - I + 1 CALL CCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL CINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C DO 200 I = 1, NZTRUE YTRUE (INDXT(I)) = YSAVE (INDXT(I)) 200 CONTINUE C C ------------------- C ... COPY TRUE INPUT C ------------------- C A = ATRUE NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C DO 300 I = 1, NZTRUE YTRUE (INDXT(I)) = YTRUE (INDXT(I)) + 1 ATRUE * XTRUE(I) 300 CONTINUE C C --------------- C ... CALL CAXPYI C --------------- C CALL CAXPYI ( NZ, A, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF CAXPYI THAT ARE NOT C SUPPOSE TO CHANGE. C ----------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, ATRUE, KINDX, 1 NZ END IF END IF C IF ( A .NE. ATRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, ATRUE, KINDX, 1 A END IF END IF C IF ( .NOT. CVSAME ( N, X, XTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, ATRUE, KINDX END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, ATRUE, KINDX END IF END IF C C --------------------------- C ... TEST OUTPUT FROM CAXPYI C --------------------------- C DO 400 J = 1, N IF ( LIST(J) .EQ. -1 ) THEN IF ( Y(J) .NE. YTRUE(J) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1400 ) NZTRUE, ATRUE, 1 KINDX, J, 2 Y(J), YTRUE(J) END IF END IF C ELSE C S = ABS ( Y(J) - YTRUE(J) ) T = ABS ( ATRUE) * ABS ( XTRUE (LIST(J))) + 1 ABS ( YTRUE(J)) ERR = S / ( EPSILN * T ) IF ( ERR .GT. THRESH ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1500 ) NZTRUE, ATRUE, 1 KINDX, J, Y(J), 2 YTRUE(J), ERR END IF END IF C END IF C 400 CONTINUE C 500 CONTINUE C 600 CONTINUE C 700 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCXPYI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CAXPYI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CAXPYI ALTERED A FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'ALTERED VALUE OF A = (', 1PE15.5, ',', 4 1PE15.5, ')' ) C 1200 FORMAT ( 5X, 'CAXPYI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'CAXPYI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'CAXPYI OUTPUT ARRAY Y IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'INCORRECT COMPONENT NO. ', I5, ' HAS VALUE = (', 4 1PE15.5, ',', 1PE15.5, 5 ') TRUE VALUE = (', 1PE15.5, ',', 1PE15.5, ')' ) C 1500 FORMAT ( 5X, 'CAXPYI OUTPUT ARRAY Y IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' A = (', 1PE15.5, ',', 1PE15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 4 1PE15.5, ',', 1PE15.5, ') TRUE VALUE = (', 5 1PE15.5, ',', 1PE15.5, ')' 6 /5X, 'ERROR = ', 1PE12.1 ) C 2700 FORMAT ( /5X, 'CAXPYI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CAXPYI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TCDTCI ( NOUT, EPSILN, THRESH, NZMAX2, 1 NUMNZ, NZVALU, 2 X, XSAVE, XTRUE, Y, YSAVE, 3 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TCDTCI -- CERTIFY CDOTCI ==== C ================================================================== C ================================================================== C C SUBROUTINE TCDTCI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CDOTCI. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*) C REAL EPSILN, THRESH C COMPLEX X (*), XSAVE (*), XTRUE (*), 1 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C INTEGER COUNT, I, ICLOBR, J, KINDX, 1 KNZ, N, NZ, NZTRUE C REAL ERR, S, T C COMPLEX CLOBBR, V, W C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C COMPLEX CDOTCI C EXTERNAL ICOPY, CCOPY, CINIT, GNINDX, 1 IVSAME, CVSAME, CDOTCI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 600 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C I = MIN ( N, N-NZTRUE ) J = N - I + 1 CALL CCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL CINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C DO 200 I = 1, NZTRUE YTRUE (INDXT(I)) = YSAVE (INDXT(I)) 200 CONTINUE C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C V = ( 0.0E0, 0.0E0 ) C DO 300 I = 1, NZTRUE V = V + CONJG ( XTRUE(I) ) * YTRUE (INDXT(I)) 300 CONTINUE C C -------------- C ... CALL CDOTCI C -------------- C W = CDOTCI ( NZ, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF CDOTCI THAT ARE NOT C SUPPOSE TO CHANGE. C ----------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, KINDX, NZ END IF END IF C IF ( .NOT. CVSAME ( N, X, XTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. CVSAME ( N, Y, YTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, KINDX END IF END IF C C -------------------------- C ... TEST OUTPUT FROM CDOTCI C -------------------------- C S = ABS ( V - W ) C T = 0.0E0 DO 400 I = 1, NZTRUE T = T + ABS ( XTRUE(I) * YTRUE (INDXT(I)) ) 400 CONTINUE C IF ( T .EQ. 0.0E0 ) T = 1.0E0 C ERR = S / ( EPSILN * T ) C IF ( ERR .GT. THRESH ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1400 ) NZTRUE, KINDX, 1 W, V, ERR END IF END IF C 500 CONTINUE C 600 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCDTCI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CDOTCI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CDOTCI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'CDOTCI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'CDOTCI ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'CDOTCI OUTPUT W IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'CDOTCI HAS VALUE = (', 1PE15.5, ',', 1PE15.5, 3 ') TRUE VALUE = (', 1PE15.5, ',', 1PE15.5, 4 ') ERROR = ', 1PE12.1 ) C 2700 FORMAT ( /5X, 'CDOTCI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CDOTCI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TCDTUI ( NOUT, EPSILN, THRESH, NZMAX2, 1 NUMNZ, NZVALU, 2 X, XSAVE, XTRUE, Y, YSAVE, 3 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TCDTUI -- CERTIFY CDOTUI ==== C ================================================================== C ================================================================== C C SUBROUTINE TCDTUI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CDOTUI. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*) C REAL EPSILN, THRESH C COMPLEX X (*), XSAVE (*), XTRUE (*), 1 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C INTEGER COUNT, I, ICLOBR, J, KINDX, 1 KNZ, N, NZ, NZTRUE C REAL ERR, S, T C COMPLEX CLOBBR, V, W C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C COMPLEX CDOTUI C EXTERNAL ICOPY, CCOPY, CINIT, GNINDX, 1 IVSAME, CVSAME, CDOTUI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 600 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C I = MIN ( N, N-NZTRUE ) J = N - I + 1 CALL CCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL CINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C DO 200 I = 1, NZTRUE YTRUE (INDXT(I)) = YSAVE (INDXT(I)) 200 CONTINUE C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C V = ( 0.0E0, 0.0E0 ) C DO 300 I = 1, NZTRUE V = V + XTRUE(I) * YTRUE (INDXT(I)) 300 CONTINUE C C -------------- C ... CALL CDOTUI C -------------- C W = CDOTUI ( NZ, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF CDOTUI THAT ARE NOT C SUPPOSE TO CHANGE. C ----------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, KINDX, NZ END IF END IF C IF ( .NOT. CVSAME ( N, X, XTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. CVSAME ( N, Y, YTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, KINDX END IF END IF C C -------------------------- C ... TEST OUTPUT FROM CDOTUI C -------------------------- C S = ABS ( V - W ) C T = 0.0E0 DO 400 I = 1, NZTRUE T = T + ABS ( XTRUE(I) * YTRUE (INDXT(I)) ) 400 CONTINUE C IF ( T .EQ. 0.0E0 ) T = 1.0E0 C ERR = S / ( EPSILN * T ) C IF ( ERR .GT. THRESH ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1400 ) NZTRUE, KINDX, 1 W, V, ERR END IF END IF C 500 CONTINUE C 600 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCDTUI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CDOTUI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CDOTUI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'CDOTUI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'CDOTUI ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'CDOTUI OUTPUT W IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'CDOTUI HAS VALUE = (', 1PE15.5, ',', 1PE15.5, 3 ') TRUE VALUE = (', 1PE15.5, ',', 1PE15.5, 4 ') ERROR = ', 1PE12.1 ) C 2700 FORMAT ( /5X, 'CDOTUI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CDOTUI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TCGTHR ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TCGTHR -- CERTIFY CGTHR ==== C ================================================================== C ================================================================== C C SUBROUTINE TCGTHR IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CGTHR. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*) C COMPLEX X (*), XSAVE (*), XTRUE (*), 1 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C INTEGER COUNT, I, ICLOBR, KINDX, 1 KNZ, N, NZ, NZTRUE C COMPLEX CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C EXTERNAL ICOPY, CCOPY, CINIT, GNINDX, 1 IVSAME, CVSAME, CGTHR C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 600 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C CALL CINIT ( N, CLOBBR, XTRUE, 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C DO 200 I = 1, NZTRUE YTRUE (INDXT(I)) = YSAVE (INDXT(I)) 200 CONTINUE C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C DO 300 I = 1, NZTRUE XTRUE (I) = YTRUE (INDXT(I)) 300 CONTINUE C C -------------- C ... CALL CGTHR C -------------- C CALL CGTHR ( NZ, Y, X, INDX ) C C ---------------------------------------- C ... TEST ARGUMENTS OF CGTHR THAT ARE NOT C SUPPOSE TO CHANGE. C ---------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, KINDX, NZ END IF END IF C IF ( .NOT. CVSAME ( N, Y, YTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, KINDX END IF END IF C C -------------------------- C ... TEST OUTPUT FROM CGTHR C -------------------------- C DO 400 I = 1, N IF ( X(I) .NE. XTRUE(I) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, KINDX, I, 1 X(I), XTRUE(I) END IF END IF 400 CONTINUE C 500 CONTINUE C 600 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCGTHR C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CGTHR ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CGTHR ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'CGTHR ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'CGTHR OUTPUT ARRAY X IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 3 1PE15.5, ',', 1PE15.5, ') TRUE VALUE = (', 4 1PE15.5, ',', 1PE15.5, ')' ) C 2700 FORMAT ( /5X, 'CGTHR PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CGTHR FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TCGTHZ ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TCGTHZ -- CERTIFY CGTHRZ ==== C ================================================================== C ================================================================== C C SUBROUTINE TCGTHZ IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CGTHRZ. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*) C COMPLEX X (*), XSAVE (*), XTRUE (*), 1 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C INTEGER COUNT, I, ICLOBR, KINDX, 1 KNZ, N, NZ, NZTRUE C COMPLEX CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C EXTERNAL ICOPY, CCOPY, CINIT, GNINDX, 1 IVSAME, CVSAME, CGTHRZ C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 600 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C CALL CINIT ( N, CLOBBR, XTRUE, 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C DO 200 I = 1, NZTRUE YTRUE (INDXT(I)) = YSAVE (INDXT(I)) 200 CONTINUE C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C DO 300 I = 1, NZTRUE XTRUE (I) = YTRUE (INDXT(I)) YTRUE(INDXT(I)) = ( 0.0E0, 0.0E0 ) 300 CONTINUE C C --------------- C ... CALL CGTHRZ C --------------- C CALL CGTHRZ ( NZ, Y, X, INDX ) C C ----------------------------------------- C ... TEST ARGUMENTS OF CGTHRZ THAT ARE NOT C SUPPOSE TO CHANGE. C ----------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, KINDX, NZ END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, KINDX END IF END IF C C --------------------------- C ... TEST OUTPUT FROM CGTHRZ C --------------------------- C DO 400 I = 1, N C IF ( X(I) .NE. XTRUE(I) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, KINDX, I, 1 X(I), XTRUE(I) END IF END IF C IF ( Y(I) .NE. YTRUE(I) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, KINDX, I, 1 Y(I), YTRUE(I) END IF END IF C 400 CONTINUE C 500 CONTINUE C 600 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCGTHZ C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CGTHRZ ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CGTHRZ ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'CGTHRZ OUTPUT ARRAY X IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 3 1PE15.5, ',', 1PE15.5, ') TRUE VALUE = (', 4 1PE15.5, ',', 1PE15.5, ')' ) C 1300 FORMAT ( 5X, 'CGTHRZ OUTPUT ARRAY Y IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 3 1PE15.5, ',', 1PE15.5, ') TRUE VALUE = (', 4 1PE15.5, ',', 1PE15.5, ')' ) C 2700 FORMAT ( /5X, 'CGTHRZ PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CGTHRZ FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TCSCTR ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TCSCTR -- CERTIFY CSCTR ==== C ================================================================== C ================================================================== C C SUBROUTINE TCSCTR IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE CSCTR. C C WRITTEN BY ROGER G GRIMES C APRIL 1987 C C ================================================================== C C ------------- C ... ARGUMENTS C ------------- C INTEGER NOUT, NZMAX2, NUMNZ, ERRCNT, 1 ERRMAX C INTEGER NZVALU (*), INDX (*), INDXT (*) C COMPLEX X (*), XSAVE (*), XTRUE (*), 1 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C INTEGER COUNT, I, ICLOBR, J, KINDX, 1 KNZ, N, NZ, NZTRUE C COMPLEX CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, CVSAME C EXTERNAL ICOPY, CCOPY, CINIT, GNINDX, 1 IVSAME, CVSAME, CSCTR C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0E10, -1.0E10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = CMPLX ( COS ( .6*FLOAT(I) ), SIN ( .2*FLOAT(I) ) ) YSAVE(I) = CMPLX ( SIN ( .7*FLOAT(I) ), COS ( .9*FLOAT(I) ) ) 100 CONTINUE C C ------------------------ C ... FOR EACH VALUE OF NZ C ------------------------ C DO 600 KNZ = 1, NUMNZ C NZTRUE = NZVALU(KNZ) N = 2 * MAX ( NZTRUE, 1 ) C C ------------------------------- C ... FOR EACH KIND OF INDX ARRAY C ------------------------------- C DO 500 KINDX = 1, 5 C CALL GNINDX ( NZTRUE, N, ICLOBR, KINDX, INDXT ) C C ----------------------- C ... GENERATE INPUT DATA C ----------------------- C I = MIN ( N, N-NZTRUE ) J = N - I + 1 CALL CCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL CINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL CINIT ( N, CLOBBR, YTRUE, 1 ) C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL CCOPY ( N, YTRUE, 1, Y, 1 ) CALL CCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C DO 300 I = 1, NZTRUE YTRUE (INDXT(I)) = XTRUE (I) 300 CONTINUE C C -------------- C ... CALL CSCTR C -------------- C CALL CSCTR ( NZ, X, INDX, Y ) C C ---------------------------------------- C ... TEST ARGUMENTS OF CSCTR THAT ARE NOT C SUPPOSE TO CHANGE. C ---------------------------------------- C IF ( NZ .NE. NZTRUE ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1000 ) NZTRUE, KINDX, NZ END IF END IF C IF ( .NOT. CVSAME ( N, X, XTRUE ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1100 ) NZTRUE, KINDX END IF END IF C IF ( .NOT. IVSAME ( N, INDX, INDXT ) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1200 ) NZTRUE, KINDX END IF END IF C C -------------------------- C ... TEST OUTPUT FROM CSCTR C -------------------------- C DO 400 I = 1, N IF ( Y(I) .NE. YTRUE(I) ) THEN COUNT = COUNT + 1 IF ( COUNT .LE. ERRMAX ) THEN WRITE ( NOUT, 1300 ) NZTRUE, KINDX, I, 1 Y(I), YTRUE(I) END IF END IF 400 CONTINUE C 500 CONTINUE C 600 CONTINUE C C ================================================================== C C ------------------ C ... END OF TESTING C ------------------ C ERRCNT = ERRCNT + COUNT IF ( COUNT .NE. 0 ) GO TO 800 C C ----------------------------------- C ... WRITE PASSED MESSAGE AND RETURN C ----------------------------------- C WRITE ( NOUT, 2700 ) GO TO 900 C C ----------------------------------- C ... WRITE FAILED MESSAGE AND RETURN C ----------------------------------- C 800 WRITE ( NOUT, 2800 ) COUNT C C ------------------------ C ... END OF MODULE TCSCTR C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'CSCTR ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'CSCTR ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'CSCTR ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'CSCTR OUTPUT ARRAY Y IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 3 1PE15.5, ',', 1PE15.5, ') TRUE VALUE = (', 4 1PE15.5, ',', 1PE15.5, ')' ) C 2700 FORMAT ( /5X, 'CSCTR PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'CSCTR FAILED', I10, ' TESTS.' ) C C ================================================================== C END