SUBROUTINE TZXPYI ( 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 ==== TZXPYI -- CERTIFY ZAXPYI ==== C ================================================================== C ================================================================== C C SUBROUTINE TZXPYI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZAXPYI. 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 DOUBLE PRECISION EPSILN, THRESH C COMPLEX*16 AVALUE (*), 1 X (*), XSAVE (*), XTRUE (*), 2 Y (*), YSAVE (*), YTRUE (*) C C ------------------- C ... LOCAL VARIABLES C ------------------- C COMPLEX*16 A, ATRUE, CLOBBR C INTEGER COUNT, I, ICLOBR, J, KA, 1 KINDX, KNZ, N, NZ, NZTRUE C DOUBLE PRECISION ERR, S, T C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C EXTERNAL ICOPY, ZCOPY, IINIT, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZAXPYI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL ZINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL ZINIT ( 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 ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( 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 ZAXPYI C --------------- C CALL ZAXPYI ( NZ, A, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF ZAXPYI 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. ZVSAME ( 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 ZAXPYI 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 TZXPYI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZAXPYI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZAXPYI ALTERED A FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'ALTERED VALUE OF A = (', 1PD15.5, ',', 4 1PD15.5, ')' ) C 1200 FORMAT ( 5X, 'ZAXPYI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'ZAXPYI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'ZAXPYI OUTPUT ARRAY Y IS INCORRECT FOR TEST WITH ', 1 'NZ = ', I5, ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'INCORRECT COMPONENT NO. ', I5, ' HAS VALUE = (', 4 1PD15.5, ',', 1PD15.5, 5 ') TRUE VALUE = (', 1PD15.5, ',', 1PD15.5, ')' ) C 1500 FORMAT ( 5X, 'ZAXPYI OUTPUT ARRAY Y IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' A = (', 1PD15.5, ',', 1PD15.5, 2 ') AND THE INDX TYPE NO. ', I5 3 /5X, 'INACCURATE COMPONENT NO. ', I5, ' HAS VALUE = (', 4 1PD15.5, ',', 1PD15.5, ') TRUE VALUE = (', 5 1PD15.5, ',', 1PD15.5, ')' 6 /5X, 'ERROR = ', 1PD12.1 ) C 2700 FORMAT ( /5X, 'ZAXPYI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZAXPYI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TZDTCI ( NOUT, EPSILN, THRESH, NZMAX2, 1 NUMNZ, NZVALU, 2 X, XSAVE, XTRUE, Y, YSAVE, 3 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TZDTCI -- CERTIFY ZDOTCI ==== C ================================================================== C ================================================================== C C SUBROUTINE TZDTCI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZDOTCI. 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 DOUBLE PRECISION EPSILN, THRESH C COMPLEX*16 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 DOUBLE PRECISION ERR, S, T C COMPLEX*16 CLOBBR, V, W C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C COMPLEX*16 ZDOTCI C EXTERNAL ICOPY, ZCOPY, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZDOTCI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL ZINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL ZINIT ( 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 ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C V = ( 0.0D0, 0.0D0 ) C DO 300 I = 1, NZTRUE V = V + DCONJG ( XTRUE(I) ) * YTRUE (INDXT(I)) 300 CONTINUE C C -------------- C ... CALL ZDOTCI C -------------- C W = ZDOTCI ( NZ, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF ZDOTCI 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. ZVSAME ( 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. ZVSAME ( 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 ZDOTCI C -------------------------- C S = ABS ( V - W ) C T = 0.0D0 DO 400 I = 1, NZTRUE T = T + ABS ( XTRUE(I) * YTRUE (INDXT(I)) ) 400 CONTINUE C IF ( T .EQ. 0.0D0 ) T = 1.0D0 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 TZDTCI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZDOTCI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZDOTCI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'ZDOTCI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'ZDOTCI ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'ZDOTCI OUTPUT W IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'ZDOTCI HAS VALUE = (', 1PD15.5, ',', 1PD15.5, 3 ') TRUE VALUE = (', 1PD15.5, ',', 1PD15.5, 4 ') ERROR = ', 1PD12.1 ) C 2700 FORMAT ( /5X, 'ZDOTCI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZDOTCI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TZDTUI ( NOUT, EPSILN, THRESH, NZMAX2, 1 NUMNZ, NZVALU, 2 X, XSAVE, XTRUE, Y, YSAVE, 3 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TZDTUI -- CERTIFY ZDOTUI ==== C ================================================================== C ================================================================== C C SUBROUTINE TZDTUI IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZDOTUI. 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 DOUBLE PRECISION EPSILN, THRESH C COMPLEX*16 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 DOUBLE PRECISION ERR, S, T C COMPLEX*16 CLOBBR, V, W C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C COMPLEX*16 ZDOTUI C EXTERNAL ICOPY, ZCOPY, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZDOTUI C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL ZINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL ZINIT ( 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 ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( N, XTRUE, 1, X, 1 ) CALL ICOPY ( N, INDXT, 1, INDX, 1 ) C C -------------------------- C ... COMPUTE IN-LINE RESULT C -------------------------- C V = ( 0.0D0, 0.0D0 ) C DO 300 I = 1, NZTRUE V = V + XTRUE(I) * YTRUE (INDXT(I)) 300 CONTINUE C C -------------- C ... CALL ZDOTUI C -------------- C W = ZDOTUI ( NZ, X, INDX, Y ) C C ----------------------------------------- C ... TEST ARGUMENTS OF ZDOTUI 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. ZVSAME ( 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. ZVSAME ( 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 ZDOTUI C -------------------------- C S = ABS ( V - W ) C T = 0.0D0 DO 400 I = 1, NZTRUE T = T + ABS ( XTRUE(I) * YTRUE (INDXT(I)) ) 400 CONTINUE C IF ( T .EQ. 0.0D0 ) T = 1.0D0 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 TZDTUI C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZDOTUI ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZDOTUI ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'ZDOTUI ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'ZDOTUI ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1400 FORMAT ( 5X, 'ZDOTUI OUTPUT W IS INACCURATE FOR TEST WITH ', 1 'NZ = ', I5, ' AND THE INDX TYPE NO. ', I5 2 /5X, 'ZDOTUI HAS VALUE = (', 1PD15.5, ',', 1PD15.5, 3 ') TRUE VALUE = (', 1PD15.5, ',', 1PD15.5, 4 ') ERROR = ', 1PD12.1 ) C 2700 FORMAT ( /5X, 'ZDOTUI PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZDOTUI FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TZGTHR ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TZGTHR -- CERTIFY ZGTHR ==== C ================================================================== C ================================================================== C C SUBROUTINE TZGTHR IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZGTHR. 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*16 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*16 CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C EXTERNAL ICOPY, ZCOPY, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZGTHR C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZINIT ( N, CLOBBR, XTRUE, 1 ) CALL ZINIT ( 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 ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( 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 ZGTHR C -------------- C CALL ZGTHR ( NZ, Y, X, INDX ) C C ---------------------------------------- C ... TEST ARGUMENTS OF ZGTHR 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. ZVSAME ( 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 ZGTHR 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 TZGTHR C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZGTHR ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZGTHR ALTERED ARRAY Y FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'ZGTHR ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'ZGTHR 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 1PD15.5, ',', 1PD15.5, ') TRUE VALUE = (', 4 1PD15.5, ',', 1PD15.5, ')' ) C 2700 FORMAT ( /5X, 'ZGTHR PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZGTHR FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TZGTHZ ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TZGTHZ -- CERTIFY ZGTHRZ ==== C ================================================================== C ================================================================== C C SUBROUTINE TZGTHZ IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZGTHRZ. 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*16 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*16 CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C EXTERNAL ICOPY, ZCOPY, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZGTHRZ C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZINIT ( N, CLOBBR, XTRUE, 1 ) CALL ZINIT ( 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 ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( 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)) = ( 0.0D0, 0.0D0 ) 300 CONTINUE C C --------------- C ... CALL ZGTHRZ C --------------- C CALL ZGTHRZ ( NZ, Y, X, INDX ) C C ----------------------------------------- C ... TEST ARGUMENTS OF ZGTHRZ 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 ZGTHRZ 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 TZGTHZ C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZGTHRZ ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZGTHRZ ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'ZGTHRZ 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 1PD15.5, ',', 1PD15.5, ') TRUE VALUE = (', 4 1PD15.5, ',', 1PD15.5, ')' ) C 1300 FORMAT ( 5X, 'ZGTHRZ 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 1PD15.5, ',', 1PD15.5, ') TRUE VALUE = (', 4 1PD15.5, ',', 1PD15.5, ')' ) C 2700 FORMAT ( /5X, 'ZGTHRZ PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZGTHRZ FAILED', I10, ' TESTS.' ) C C ================================================================== C END SUBROUTINE TZSCTR ( NOUT, NZMAX2, NUMNZ, NZVALU, 1 X, XSAVE, XTRUE, Y, YSAVE, 2 YTRUE , INDX, INDXT, ERRCNT, ERRMAX ) C C ================================================================== C ================================================================== C ==== TZSCTR -- CERTIFY ZSCTR ==== C ================================================================== C ================================================================== C C SUBROUTINE TZSCTR IS THE CERTIFICATION MODULE FOR THE SPARSE C BASIC LINEAR ALGEBRA SUBROUTINE MODULE ZSCTR. 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*16 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*16 CLOBBR C C -------------------- C ... SUBPROGRAMS USED C -------------------- C LOGICAL IVSAME, ZVSAME C EXTERNAL ICOPY, ZCOPY, ZINIT, GNINDX, 1 IVSAME, ZVSAME, ZSCTR C C ================================================================== C C ------------------ C ... INITIALIZATION C ------------------ C COUNT = 0 C CLOBBR = ( -1.0D10, -1.0D10 ) ICLOBR = -10000000 C C ------------------------------------ C ... GENERATE SOME VALUES FOR X AND Y C ------------------------------------ C DO 100 I = 1, NZMAX2 XSAVE(I) = DCMPLX ( COS ( .6*DBLE(I) ), SIN ( .2*DBLE(I) ) ) YSAVE(I) = DCMPLX ( SIN ( .7*DBLE(I) ), COS ( .9*DBLE(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 ZCOPY ( NZTRUE, XSAVE, 1, XTRUE, 1 ) CALL ZINIT ( I, CLOBBR, XTRUE(J), 1 ) CALL ZINIT ( N, CLOBBR, YTRUE, 1 ) C C ------------------- C ... COPY TRUE INPUT C ------------------- C NZ = NZTRUE C CALL ZCOPY ( N, YTRUE, 1, Y, 1 ) CALL ZCOPY ( 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 ZSCTR C -------------- C CALL ZSCTR ( NZ, X, INDX, Y ) C C ---------------------------------------- C ... TEST ARGUMENTS OF ZSCTR 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. ZVSAME ( 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 ZSCTR 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 TZSCTR C ------------------------ C 900 CONTINUE RETURN C C ================================================================== C C ----------- C ... FORMATS C ----------- C 1000 FORMAT ( 5X, 'ZSCTR ALTERED NZ FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5, 2 '. ALTERED VALUE OF NZ = ', I5 ) C 1100 FORMAT ( 5X, 'ZSCTR ALTERED ARRAY X FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1200 FORMAT ( 5X, 'ZSCTR ALTERED ARRAY INDX FOR TEST WITH NZ = ', I5, 1 ' AND THE INDX TYPE NO. ', I5 ) C 1300 FORMAT ( 5X, 'ZSCTR 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 1PD15.5, ',', 1PD15.5, ') TRUE VALUE = (', 4 1PD15.5, ',', 1PD15.5, ')' ) C 2700 FORMAT ( /5X, 'ZSCTR PASSED ALL TESTS.' ) C 2800 FORMAT ( /5X, 'ZSCTR FAILED', I10, ' TESTS.' ) C C ================================================================== C END