program main !*****************************************************************************80 ! !! MAIN is the main program for BLAS2_PRB. ! ! Discussion: ! ! BLAS2_PRB tests the BLAS2 routines. ! ! Modified: ! ! 26 February 2007 ! ! Author: ! ! John Burkardt ! implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'BLAS2_PRB' write ( *, '(a)' ) ' FORTRAN90 version' write ( *, '(a)' ) ' Tests for BLAS2,' write ( *, '(a)' ) ' the Level 2 Basic Linear Algebra Subprograms.' call test01 call test02 call test03 call test04 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'BLAS2_PRB' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop end subroutine test01 !*****************************************************************************80 ! !! TEST01 tests DGEMV. ! implicit none integer, parameter :: m = 5 integer, parameter :: n = 5 real ( kind = 8 ) a(m,n) real ( kind = 8 ) alpha real ( kind = 8 ) beta integer i integer incx integer incy integer j integer lda character trans real ( kind = 8 ) x(n) real ( kind = 8 ) y(m) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST01' write ( *, '(a)' ) ' For a general matrix A,' write ( *, '(a)' ) ' DGEMV computes y := alpha * A * x + beta * y' trans = 'N' alpha = 2.0D+00 lda = m incx = 1 beta = 3.0D+00 incy = 1 do i = 1, m do j = 1, n if ( i == j ) then a(i,j) = 2.0D+00 else if ( i == j - 1 .or. i == j + 1 ) then a(i,j) = -1.0D+00 else a(i,j) = 0.0D+00 end if end do end do do i = 1, n x(i) = real ( i, kind = 8 ) end do do i = 1, m y(i) = real ( 10 * i, kind = 8 ) end do call dgemv ( trans, m, n, alpha, a, lda, x, incx, beta, y, incy ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Result vector Y = ' write ( *, '(a)' ) ' ' do i = 1, m write ( *, '(2x,g14.6)' ) y(i) end do return end subroutine test02 !*****************************************************************************80 ! !! TEST02 tests DGBMV. ! implicit none integer, parameter :: m = 5 integer, parameter :: n = 5 integer, parameter :: kl = 1 integer, parameter :: ku = 1 integer, parameter :: lda = kl + 1 + ku real ( kind = 8 ) a(lda,n) real ( kind = 8 ) alpha real ( kind = 8 ) beta integer i integer incx integer incy integer j integer jhi integer jlo character trans real ( kind = 8 ) x(n) real ( kind = 8 ) y(m) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST02' write ( *, '(a)' ) ' For a general band matrix A,' write ( *, '(a)' ) ' DGBMV computes y := alpha * A * x + beta * y' trans = 'N' alpha = 2.0D+00 incx = 1 beta = 3.0D+00 incy = 1 do i = 1, m jlo = max ( 1, i - kl ) jhi = min ( n, i + ku ) do j = jlo, jhi if ( i == j ) then a(ku+1+i-j,j) = 2.0D+00 else if ( i == j - 1 .or. i == j + 1 ) then a(ku+1+i-j,j) = -1.0D+00 else a(ku+1+i-j,j) = 0.0D+00 end if end do end do do i = 1, n x(i) = real ( i, kind = 8 ) end do do i = 1, m y(i) = real ( 10 * i, kind = 8 ) end do call dgbmv ( trans, m, n, kl, ku, alpha, a, lda, x, incx, beta, y, incy ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Result vector Y = ' write ( *, '(a)' ) ' ' do i = 1, m write ( *, '(2x,g14.6)' ) y(i) end do return end subroutine test03 !*****************************************************************************80 ! !! TEST03 tests DSYMV. ! implicit none integer, parameter :: n = 5 integer, parameter :: lda = n real ( kind = 8 ) a(lda,n) real ( kind = 8 ) alpha real ( kind = 8 ) beta integer i integer incx integer incy integer j character uplo real ( kind = 8 ) x(n) real ( kind = 8 ) y(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST03' write ( *, '(a)' ) ' For a general symmetric matrix A,' write ( *, '(a)' ) ' DSYMV computes y := alpha * A * x + beta * y' uplo = 'U' alpha = 2.0D+00 incx = 1 beta = 3.0D+00 incy = 1 do i = 1, n do j = 1, n if ( i == j ) then a(i,j) = 2.0D+00 else if ( i == j - 1 ) then a(i,j) = -1.0D+00 else a(i,j) = 0.0D+00 end if end do end do do i = 1, n x(i) = real ( i, kind = 8 ) end do do i = 1, n y(i) = real ( 10 * i, kind = 8 ) end do call dsymv ( uplo, n, alpha, a, lda, x, incx, beta, y, incy ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Result vector Y = ' write ( *, '(a)' ) ' ' do i = 1, n write ( *, '(2x,g14.6)' ) y(i) end do return end subroutine test04 !*****************************************************************************80 ! !! TEST04 tests DSBMV. ! implicit none integer, parameter :: m = 5 integer, parameter :: n = 5 integer, parameter :: k = 1 integer, parameter :: lda = k + 1 real ( kind = 8 ) a(lda,n) real ( kind = 8 ) alpha real ( kind = 8 ) beta integer i integer incx integer incy integer j integer jhi integer jlo character uplo real ( kind = 8 ) x(n) real ( kind = 8 ) y(m) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST04' write ( *, '(a)' ) ' For a symmetric band matrix A,' write ( *, '(a)' ) ' DSBMV computes y := alpha * A * x + beta * y' uplo = 'U' alpha = 2.0D+00 incx = 1 beta = 3.0D+00 incy = 1 do i = 1, m jhi = min ( n, i + k ) do j = i, jhi if ( i == j ) then a(k+1+i-j,j) = 2.0D+00 else if ( i == j - 1 ) then a(k+1+i-j,j) = -1.0D+00 else a(k+1+i-j,j) = 0.0D+00 end if end do end do do i = 1, n x(i) = real ( i, kind = 8 ) end do do i = 1, m y(i) = real ( 10 * i, kind = 8 ) end do call dsbmv ( uplo, n, k, alpha, a, lda, x, incx, beta, y, incy ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Result vector Y = ' write ( *, '(a)' ) ' ' do i = 1, m write ( *, '(2x,g14.6)' ) y(i) end do return end subroutine timestamp ( ) !*****************************************************************************80 ! !! TIMESTAMP prints the current YMDHMS date as a time stamp. ! ! Example: ! ! May 31 2001 9:45:54.872 AM ! ! Modified: ! ! 26 February 2005 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! None ! implicit none character ( len = 8 ) ampm integer d integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s integer values(8) integer y call date_and_time ( values = values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( *, '(a,1x,i2,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & trim ( month(m) ), d, y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end