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blas1_d_prb.f90
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program main
!*****************************************************************************80
!
!! MAIN is the main program for BLAS1_D_PRB.
!
! Discussion:
!
! BLAS1_D_PRB tests the BLAS1 double precision real routines.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
call timestamp ( )
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'BLAS1_D_PRB:'
write ( *, '(a)' ) ' FORTRAN90 version'
write ( *, '(a)' ) ' Test the BLAS1_D library.'
call test01 ( )
call test02 ( )
call test03 ( )
call test04 ( )
call test05 ( )
call test06 ( )
call test07 ( )
call test08 ( )
call test09 ( )
call test10 ( )
call test11 ( )
call test12 ( )
!
! Terminate.
!
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'BLAS1_D_PRB:'
write ( *, '(a)' ) ' Normal end of execution.'
write ( *, '(a)' ) ' '
call timestamp ( )
stop
end
subroutine test01 ( )
!*****************************************************************************80
!
!! TEST01 tests DASUM.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: lda = 6
integer ( kind = 4 ), parameter :: ma = 5
integer ( kind = 4 ), parameter :: na = 4
integer ( kind = 4 ), parameter :: nx = 10
real ( kind = 8 ) a(lda,na)
real ( kind = 8 ) dasum
integer ( kind = 4 ) i
integer ( kind = 4 ) j
real ( kind = 8 ) x(nx)
do i = 1, nx
x(i) = ( -1.0D+00 )**i * real ( 2 * i, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST01'
write ( *, '(a)' ) ' DASUM adds the absolute values of elements'
write ( *, '(a)' ) ' of a double precision real vector.'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X = '
write ( *, '(a)' ) ' '
do i = 1, nx
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' DASUM ( NX, X, 1 ) = ', dasum ( nx, x, 1 )
write ( *, '(a,g14.6)' ) ' DASUM ( NX/2, X, 2 ) = ', dasum ( nx/2, x, 2 )
write ( *, '(a,g14.6)' ) ' DASUM ( 2, X, NX/2 ) = ', dasum ( 2, x, nx/2 )
a(1:lda,1:na) = 0.0D+00
do i = 1, ma
do j = 1, na
a(i,j) = ( -1.0D+00 )**( i + j ) * real ( 10 * i + j, kind = 8 )
end do
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' Demonstrate with a matrix A:'
write ( *, '(a)' ) ' '
do i = 1, ma
write ( *, '(2x,5g14.6)' ) a(i,1:na)
end do
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' DASUM(MA,A(1,2),1) = ', dasum ( ma, a(1,2), 1 )
write ( *, '(a,g14.6)' ) &
' DASUM(NA,A(2,1),LDA) = ', dasum ( na, a(2,1), lda )
return
end
subroutine test02 ( )
!*****************************************************************************80
!
!! TEST02 tests DAXPY.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 6
real ( kind = 8 ) da
integer ( kind = 4 ) i
real ( kind = 8 ) x(n)
real ( kind = 8 ) y(n)
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST02'
write ( *, '(a)' ) ' DAXPY adds a multiple of a double precision real'
write ( *, '(a)' ) ' vector X to vector Y.'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X = '
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' Y = '
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
da = 1.0D+00
call daxpy ( n, da, x, 1, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DAXPY ( N, ', da, ', X, 1, Y, 1 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
da = -2.0D+00
call daxpy ( n, da, x, 1, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DAXPY ( N, ', da, ', X, 1, Y, 1 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
da = +3.0D+00
call daxpy ( 3, da, x, 2, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DAXPY ( 3, ', da, ', X, 2, Y, 1 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
da = -4.0D+00
call daxpy ( 3, da, x, 1, y, 2 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DAXPY ( 3, ', da, ', X, 1, Y, 2 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
return
end
subroutine test03 ( )
!*****************************************************************************80
!
!! TEST03 tests DCOPY.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
real ( kind = 8 ) a(5,5)
integer ( kind = 4 ) i
integer ( kind = 4 ) j
real ( kind = 8 ) x(10)
real ( kind = 8 ) y(10)
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST03'
write ( *, '(a)' ) ' DCOPY copies one double precision real vector'
write ( *, '(a)' ) ' into another.'
do i = 1, 10
x(i) = real ( i, kind = 8 )
end do
do i = 1, 10
y(i) = real ( 10 * i, kind = 8 )
end do
do i = 1, 5
do j = 1, 5
a(i,j) = real ( 10 * i + j, kind = 8 )
end do
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X = '
write ( *, '(a)' ) ' '
do i = 1, 10
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' Y = '
write ( *, '(a)' ) ' '
do i = 1, 10
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' A = '
write ( *, '(a)' ) ' '
do i = 1, 5
write ( *, '(2x,5f8.2)' ) a(i,1:5)
end do
call dcopy ( 5, x, 1, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DCOPY ( 5, X, 1, Y, 1 )'
write ( *, '(a)' ) ' '
do i = 1, 10
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
do i = 1, 10
y(i) = real ( 10 * i, kind = 8 )
end do
call dcopy ( 3, x, 2, y, 3 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DCOPY ( 3, X, 2, Y, 3 )'
write ( *, '(a)' ) ' '
do i = 1, 10
write ( *, '(2x,i6,g14.6)' ) i, y(i)
end do
call dcopy ( 5, x, 1, a, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DCOPY ( 5, X, 1, A, 1 )'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' A = '
write ( *, '(a)' ) ' '
do i = 1, 5
write ( *, '(2x,5f8.2)' ) a(i,1:5)
end do
do i = 1, 5
do j = 1, 5
a(i,j) = real ( 10 * i + j, kind = 8 )
end do
end do
call dcopy ( 5, x, 2, a, 5 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DCOPY ( 5, X, 2, A, 5 )'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' A = '
write ( *, '(a)' ) ' '
do i = 1, 5
write ( *, '(2x,5f8.2)' ) a(i,1:5)
end do
return
end
subroutine test04 ( )
!*****************************************************************************80
!
!! TEST04 tests DDOT.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 5
integer ( kind = 4 ), parameter :: lda = 10
integer ( kind = 4 ), parameter :: ldb = 7
integer ( kind = 4 ), parameter :: ldc = 6
real ( kind = 8 ) a(lda,lda)
real ( kind = 8 ) b(ldb,ldb)
real ( kind = 8 ) c(ldc,ldc)
integer ( kind = 4 ) i
integer ( kind = 4 ) j
real ( kind = 8 ) ddot
real ( kind = 8 ) sum1
real ( kind = 8 ) x(n)
real ( kind = 8 ) y(n)
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST04'
write ( *, '(a)' ) ' DDOT computes the dot product of two'
write ( *, '(a)' ) ' double precision real vectors.'
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = - real ( i, kind = 8 )
end do
do i = 1, n
do j = 1, n
a(i,j) = real ( i + j, kind = 8 )
end do
end do
do i = 1, n
do j = 1, n
b(i,j) = real ( i - j, kind = 8 )
end do
end do
!
! To compute a simple dot product of two vectors, use a
! call like this:
!
sum1 = ddot ( n, x, 1, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' Dot product of X and Y is ', sum1
!
! To multiply a ROW of a matrix A times a vector X, we need to
! specify the increment between successive entries of the row of A:
!
sum1 = ddot ( n, a(2,1), lda, x, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' Product of row 2 of A and X is ', sum1
!
! Product of a column of A and a vector is simpler:
!
sum1 = ddot ( n, a(1,2), 1, x, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' Product of column 2 of A and X is ', sum1
!
! Here's how matrix multiplication, c = a*b, could be done
! with DDOT:
!
do i = 1, n
do j = 1, n
c(i,j) = ddot ( n, a(i,1), lda, b(1,j), 1 )
end do
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' Matrix product computed with DDOT:'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,5g14.6)' ) c(i,1:n)
end do
return
end
subroutine test05 ( )
!*****************************************************************************80
!
!! TEST05 tests DMACH.
!
! Discussion:
!
! The DMACH routine is not part of the official BLAS release.
! It was used for the testing routines.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 19 February 2006
!
! Author:
!
! John Burkardt
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
real ( kind = 8 ) dmach
integer ( kind = 4 ) job
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST05'
write ( *, '(a)' ) ' DMACH computes several machine-dependent'
write ( *, '(a)' ) ' double precision real arithmetic parameters.'
write ( *, '(a)' ) ' '
write ( *, * ) ' DMACH(1) = machine epsilon = ', dmach ( 1 )
write ( *, * ) ' DMACH(2) = a tiny value = ', dmach ( 2 )
write ( *, * ) ' DMACH(3) = a huge value = ', dmach ( 3 )
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' FORTRAN90 parameters:'
write ( *, '(a)' ) ' '
write ( *, * ) ' EPSILON() = machine epsilon = ', epsilon ( 1.0D+00 )
write ( *, * ) ' TINY() = a tiny value = ', tiny ( 1.0D+00 )
write ( *, * ) ' HUGE() = a huge value = ', huge ( 1.0D+00 )
return
end
subroutine test06 ( )
!*****************************************************************************80
!
!! TEST06 tests DNRM2.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 5
integer ( kind = 4 ), parameter :: lda = n + 5
!
! These parameters illustrate the fact that matrices are typically
! dimensioned with more space than the user requires.
!
real ( kind = 8 ) a(lda,lda)
integer ( kind = 4 ) i
integer ( kind = 4 ) incx
integer ( kind = 4 ) j
real ( kind = 8 ) dnrm2
real ( kind = 8 ) sum1
real ( kind = 8 ) x(n)
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST06'
write ( *, '(a)' ) ' DNRM2 computes the Euclidean norm of a '
write ( *, '(a)' ) ' double precision real vector.'
!
! Compute the euclidean norm of a vector:
!
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' The vector X:'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,f8.4)' ) i, x(i)
end do
incx = 1
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' The 2-norm of X is ', dnrm2 ( n, x, incx )
!
! Compute the euclidean norm of a row or column of a matrix:
!
do i = 1, n
do j = 1, n
a(i,j) = real ( i + j, kind = 8 )
end do
end do
incx = lda
sum1 = dnrm2 ( n, a(2,1), incx )
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' The 2-norm of row 2 of A is ', sum1
incx = 1
sum1 = dnrm2 ( n, a(1,2), incx )
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6)' ) ' The 2-norm of column 2 of A is ', sum1
return
end
subroutine test07 ( )
!*****************************************************************************80
!
!! TEST07 tests DROT.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 6
real ( kind = 8 ) c
integer ( kind = 4 ) i
real ( kind = 8 ) s
real ( kind = 8 ) x(n)
real ( kind = 8 ) y(n)
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = real ( i * i - 12, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST07'
write ( *, '(a)' ) &
' DROT carries out a double precision real Givens rotation.'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X and Y'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
c = 0.5D+00
s = sqrt ( 1.0D+00 - c * c )
call drot ( n, x, 1, y, 1, c, s )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a,f8.4,a)' ) ' DROT ( N, X, 1, Y, 1, ', c, ',', s, ' )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = real ( i * i - 12, kind = 8 )
end do
c = x(1) / sqrt ( x(1) * x(1) + y(1) * y(1) )
s = y(1) / sqrt ( x(1) * x(1) + y(1) * y(1) )
call drot ( n, x, 1, y, 1, c, s )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a,f8.4,a)' ) ' DROT ( N, X, 1, Y, 1, ', c, ',', s, ' )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
return
end
subroutine test08 ( )
!*****************************************************************************80
!
!! TEST08 tests DROTG.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 6
real ( kind = 8 ) a
real ( kind = 8 ) b
real ( kind = 8 ) c
real ( kind = 8 ) r
real ( kind = 8 ) r8_uniform_01
real ( kind = 8 ) s
real ( kind = 8 ) sa
real ( kind = 8 ) sb
integer ( kind = 4 ) seed
integer ( kind = 4 ) test
integer ( kind = 4 ), parameter :: test_num = 5
real ( kind = 8 ) z
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST08'
write ( *, '(a)' ) ' DROTG generates a double precision real Givens rotation'
write ( *, '(a)' ) ' ( C S ) * ( A ) = ( R )'
write ( *, '(a)' ) ' ( -S C ) ( B ) ( 0 )'
write ( *, '(a)' ) ' '
seed = 123456789
do test = 1, test_num
a = r8_uniform_01 ( seed )
b = r8_uniform_01 ( seed )
sa = a
sb = b
call drotg ( sa, sb, c, s )
r = sa
z = sb
write ( *, '(a)' ) ' '
write ( *, '(a,g14.6,a,g14.6)' ) ' A = ', a, ' B = ', b
write ( *, '(a,g14.6,a,g14.6)' ) ' C = ', c, ' S = ', s
write ( *, '(a,g14.6,a,g14.6)' ) ' R = ', r, ' Z = ', z
write ( *, '(a,g14.6)' ) ' C*A+S*B = ', c * a + s * b
write ( *, '(a,g14.6)' ) ' -S*A+C*B = ', -s * a + c * b
end do
return
end
subroutine test09 ( )
!*****************************************************************************80
!
!! TEST09 tests DSCAL.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 6
real ( kind = 8 ) da
integer ( kind = 4 ) i
real ( kind = 8 ) x(n)
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST09'
write ( *, '(a)' ) ' DSCAL multiplies a double precision real scalar '
write ( *, '(a)' ) ' times a double precision real vector.'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X = '
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
da = 5.0D+00
call dscal ( n, da, x, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DSCAL ( N, ', da, ', X, 1 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
da = -2.0D+00
call dscal ( 3, da, x, 2 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DSCAL ( 3, ', da, ', X, 2 )'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6)' ) i, x(i)
end do
return
end
subroutine test10 ( )
!*****************************************************************************80
!
!! TEST10 tests DSWAP.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
! implicit none
integer ( kind = 4 ), parameter :: n = 6
integer ( kind = 4 ) i
real ( kind = 8 ) x(n)
real ( kind = 8 ) y(n)
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST10'
write ( *, '(a)' ) ' DSWAP swaps two double precision real vectors.'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X and Y'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
call dswap ( n, x, 1, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' DSWAP ( N, X, 1, Y, 1 )'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X and Y'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
do i = 1, n
x(i) = real ( i, kind = 8 )
end do
do i = 1, n
y(i) = real ( 100 * i, kind = 8 )
end do
call dswap ( 3, x, 2, y, 1 )
write ( *, '(a)' ) ' '
write ( *, '(a,f8.4,a)' ) ' DSWAP ( 3, X, 2, Y, 1 )'
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' X and Y'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,g14.6,g14.6)' ) i, x(i), y(i)
end do
return
end
subroutine test11 ( )
!*****************************************************************************80
!
!! TEST11 tests IDAMAX.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 11
integer ( kind = 4 ) i
integer ( kind = 4 ) i1
integer ( kind = 4 ) incx
integer ( kind = 4 ) idamax
real ( kind = 8 ) x(n)
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST11'
write ( *, '(a)' ) ' IDAMAX returns the index of the entry of'
write ( *, '(a)' ) ' maximum magnitude in a double precision real vector.'
do i = 1, n
x(i) = real ( mod ( 7 * i, 11 ), kind = 8 ) - real ( n / 2, kind = 8 )
end do
write ( *, '(a)' ) ' '
write ( *, '(a)' ) ' The vector X:'
write ( *, '(a)' ) ' '
do i = 1, n
write ( *, '(2x,i6,f8.4)' ) i, x(i)
end do
incx = 1
i1 = idamax ( n, x, incx )
write ( *, '(a)' ) ' '
write ( *, '(a,i6)' ) ' The index of maximum magnitude = ', i1
return
end
subroutine test12 ( )
!*****************************************************************************80
!
!! TEST12 tests IDAMAX, DAXPY and DSCAL.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 May 2006
!
! Author:
!
! John Burkardt
!
implicit none
integer ( kind = 4 ), parameter :: n = 10
integer ( kind = 4 ), parameter :: lda = n
real ( kind = 8 ) a(lda,n)
real ( kind = 8 ) b(n)
integer ( kind = 4 ) i
integer ( kind = 4 ) idamax
integer ( kind = 4 ) info
integer ( kind = 4 ) ipvt(n)
integer ( kind = 4 ) j
integer ( kind = 4 ) k
integer ( kind = 4 ) l
real ( kind = 8 ) t
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'TEST12'
write ( *, '(a)' ) ' Use IDAMAX, DAXPY and DSCAL'
write ( *, '(a)' ) ' in a Gauss elimination routine.'
!
! Set the matrix.
!
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 if ( i == j - 1 ) then
a(i,j) = - 1.0D+00
else
a(i,j) = 0.0D+00
end if
end do
end do
!
! Set the right hand side.
!
b(1:n-1) = 0.0D+00
b(n) = real ( n, kind = 8 ) + 1.0D+00
info = 0
do k = 1, n - 1
l = idamax ( n-k+1, a(k,k), 1 ) + k - 1
ipvt(k) = l
if ( a(l,k) == 0.0D+00 ) then
info = k
else
if ( l /= k ) then
t = a(l,k)
a(l,k) = a(k,k)
a(k,k) = t
end if
t = -1.0D+00 / a(k,k)
call dscal ( n-k, t, a(k+1,k), 1 )
do j = k+1, n
t = a(l,j)