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typesgen_mod.f90
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typesgen_mod.f90
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module generic_types_mod
!
use module_kind_types, only : wp,zero,half,dot,intseq
use module_kind_types, only : alloc_error,io_error
use module_kind_types, only : error_message
!
implicit none
!
private
!
! matrix : derived type that stores a matrix quantity
! Examples : interpolation matrix, derivative matrix, etc.
!
type, public :: matrix
!
real(wp), allocatable :: mat(:,:)
!
integer, allocatable :: row_ptr(:)
integer, allocatable :: row_idx(:)
real(wp), allocatable :: row_val(:)
!
integer, allocatable :: col_ptr(:)
integer, allocatable :: col_idx(:)
real(wp), allocatable :: col_val(:)
!
!
!procedure(dot_vec_function), pointer, private :: dot_vec
!procedure(dot_mat_function), pointer, private :: dot_mat
procedure(dot_vec_function), pointer :: dot
procedure(dot_mat_function), pointer :: dot_mat
procedure(dot_mat2_function), pointer :: dot_mat2
procedure(mat_vec_mult), pointer :: mv_mult
procedure(vec_mat_mult), pointer :: vm_mult
!procedure(mat_mat_mult), pointer :: mm_mult
!procedure(mat_mat_rev_mult), pointer :: mm_rev_mult
!procedure(mat_mat_mult_rt), pointer :: mmrt_mult
!procedure(mat_mat_rev_mult_rt), pointer :: mmrt_rev_mult
!procedure(mat_mat_mult_ut), pointer :: mmut_mult
!procedure(mat_mat_rev_mult_ut), pointer :: mmut_rev_mult
!
contains
!
procedure :: check_for_sparsity
procedure :: output_sparsity
procedure :: memory_usage
procedure :: mm_mult => mat_mat_mult_intrinsic
procedure :: mm_rev_mult => mat_mat_rev_mult_intrinsic
procedure :: mmrt_mult => mm_mult_intsc_rtrn_transpose
procedure :: mmrt_rev_mult => mm_rev_mult_intsc_rtrn_transpose
procedure :: mmut_mult => mm_mult_intsc_use_transpose
procedure :: mmut_rev_mult => mm_rev_mult_intsc_use_transpose
!generic :: dot => dot_vec,dot_mat
!
end type matrix
!
!
!
abstract interface
!
pure function dot_vec_function(this,idx,vector) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
real(wp) :: return_value
end function dot_vec_function
!
pure function dot_mat_function(this,idx,array) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
integer, intent(in) :: idx
real(wp), dimension(:,:), intent(in) :: array
real(wp) :: return_value(1:size(array,dim=2))
end function dot_mat_function
!
pure function dot_mat2_function(this,idx,array) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
integer, intent(in) :: idx
real(wp), dimension(:,:,:), intent(in) :: array
real(wp) :: return_value(1:size(array,dim=2),1:size(array,dim=3))
end function dot_mat2_function
!
pure function mat_vec_mult(this,vector) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:), intent(in) :: vector
real(wp), dimension(1:size(this%mat,dim=1)) :: return_value
end function mat_vec_mult
!
pure function vec_mat_mult(this,vector) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:), intent(in) :: vector
real(wp), dimension(1:size(this%mat,dim=2)) :: return_value
end function vec_mat_mult
!
!
!
!
!
!
pure function mat_mat_mult(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size( mat,dim=1), &
1:size(this%mat,dim=2)) :: return_value
end function mat_mat_mult
!
pure function mat_mat_rev_mult(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size(this%mat,dim=1), &
1:size( mat,dim=2)) :: return_value
end function mat_mat_rev_mult
!
pure function mat_mat_mult_rt(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size(this%mat,dim=2), &
1:size( mat,dim=1)) :: return_value
end function mat_mat_mult_rt
!
pure function mat_mat_rev_mult_rt(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size( mat,dim=2), &
1:size(this%mat,dim=1)) :: return_value
end function mat_mat_rev_mult_rt
!
pure function mat_mat_mult_ut(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size(this%mat,dim=2), &
1:size( mat,dim=2)) :: return_value
end function mat_mat_mult_ut
!
pure function mat_mat_rev_mult_ut(this,mat) result(return_value)
import :: wp, matrix
class(matrix), intent(in) :: this
real(wp), dimension(:,:), intent(in) :: mat
real(wp), dimension(1:size( mat,dim=1), &
1:size(this%mat,dim=1)) :: return_value
end function mat_mat_rev_mult_ut
!
end interface
!
contains
!
!###############################################################################
!
elemental subroutine check_for_sparsity(this)
!
!.. Use Statements ..
use ovar, only : use_unrolled_dot_products
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(inout) :: this
!
!.. Local Scalars ..
integer :: n,n1,n2,nsz_dim1,nsz_dim2,total_nz,ierr
real(wp) :: sparsity
!
!.. Local Parameters ..
real(wp), parameter :: sparsity_limit = 0.5_wp
!
continue
!
! Default assignments of procedure pointer
!
this%dot => dot_intrinsic
this%dot_mat => dot_mat_intrinsic
this%dot_mat2 => dot_mat2_intrinsic
this%mv_mult => mat_vec_mult_intrinsic
this%vm_mult => vec_mat_mult_intrinsic
!
!this%mm_mult => mat_mat_mult_intrinsic
!this%mm_rev_mult => mat_mat_rev_mult_intrinsic
!this%mmrt_mult => mm_mult_intsc_rtrn_transpose
!this%mmrt_rev_mult => mm_rev_mult_intsc_rtrn_transpose
!this%mmut_mult => mm_mult_intsc_use_transpose
!this%mmut_rev_mult => mm_rev_mult_intsc_use_transpose
!
if (allocated(this%mat)) then
!
nsz_dim1 = size(this%mat,dim=1)
nsz_dim2 = size(this%mat,dim=2)
!
total_nz = count(this%mat /= zero)
!
! Convert the mat array into the sparse
! arrays within the matrix derived-type
!
! ######################################
! ######################################
! ######################################
! ##### #####
! ##### Compressed Row Storage #####
! ##### #####
! ######################################
! ######################################
! ######################################
!
allocate ( this%row_ptr(1:nsz_dim2+1) , source=0 , stat=ierr )
allocate ( this%row_idx(1:total_nz) , stat=ierr )
allocate ( this%row_val(1:total_nz) , stat=ierr )
!
!
!
do n = 2,nsz_dim2+1
this%row_ptr(n) = this%row_ptr(n-1) + count(this%mat(:,n-1) /= zero)
end do
!
!
!
do n = 1,nsz_dim2
!
n1 = this%row_ptr(n)+1
n2 = this%row_ptr(n+1)
!
!
this%row_idx(n1:n2) = pack( intseq(1,nsz_dim1) , this%mat(:,n) /= zero )
!
this%row_val(n1:n2) = this%mat( this%row_idx(n1:n2) , n )
!
end do
!
! #########################################
! #########################################
! #########################################
! ##### #####
! ##### Compressed Column Storage #####
! ##### #####
! #########################################
! #########################################
! #########################################
!
allocate ( this%col_ptr(1:nsz_dim1+1) , source=0 , stat=ierr )
allocate ( this%col_idx(1:total_nz) , stat=ierr )
allocate ( this%col_val(1:total_nz) , stat=ierr )
!
!
!
do n = 2,nsz_dim1+1
this%col_ptr(n) = this%col_ptr(n-1) + count(this%mat(n-1,:) /= zero)
end do
!
!
!
do n = 1,nsz_dim1
!
n1 = this%col_ptr(n)+1
n2 = this%col_ptr(n+1)
!
!
this%col_idx(n1:n2) = pack( intseq(1,nsz_dim2) , this%mat(n,:) /= zero )
!
this%col_val(n1:n2) = this%mat( n , this%col_idx(n1:n2) )
!
end do
!
! Compute the sparsity of the matrix as the ratio of non-zero
! elements divided by the total number of matrix elements
!
sparsity = real(total_nz,kind=wp) / real(nsz_dim1*nsz_dim2,kind=wp)
!
! If the matrix sparsity is less than a given limit, assign
! the procedure pointers to the sparse vector operations.
!
if (sparsity <= sparsity_limit) then
!
! Assign the procedure pointers to the sparse versions
!
if (use_unrolled_dot_products) then
!
n1 = minval(this%row_ptr(2:nsz_dim2+1)-this%row_ptr(1:nsz_dim2))
n2 = maxval(this%row_ptr(2:nsz_dim2+1)-this%row_ptr(1:nsz_dim2))
!
if (n1 == n2) then
!
select case (n1)
case (1)
this%dot => dot_sparse_unrolled_p0
this%dot_mat => dot_mat_sparse_unrolled_p0
this%dot_mat2 => dot_mat2_sparse_unrolled_p0
case (2)
this%dot => dot_sparse_unrolled_p1
this%dot_mat => dot_mat_sparse_unrolled_p1
this%dot_mat2 => dot_mat2_sparse_unrolled_p1
case (3)
this%dot => dot_sparse_unrolled_p2
this%dot_mat => dot_mat_sparse_unrolled_p2
this%dot_mat2 => dot_mat2_sparse_unrolled_p2
case (4)
this%dot => dot_sparse_unrolled_p3
this%dot_mat => dot_mat_sparse_unrolled_p3
this%dot_mat2 => dot_mat2_sparse_unrolled_p3
case (5)
this%dot => dot_sparse_unrolled_p4
this%dot_mat => dot_mat_sparse_unrolled_p4
this%dot_mat2 => dot_mat2_sparse_unrolled_p4
case (6)
this%dot => dot_sparse_unrolled_p5
this%dot_mat => dot_mat_sparse_unrolled_p5
this%dot_mat2 => dot_mat2_sparse_unrolled_p5
case (7)
this%dot => dot_sparse_unrolled_p6
this%dot_mat => dot_mat_sparse_unrolled_p6
this%dot_mat2 => dot_mat2_sparse_unrolled_p6
case (8)
this%dot => dot_sparse_unrolled_p7
this%dot_mat => dot_mat_sparse_unrolled_p7
this%dot_mat2 => dot_mat2_sparse_unrolled_p7
case (9)
this%dot => dot_sparse_unrolled_p8
this%dot_mat => dot_mat_sparse_unrolled_p8
this%dot_mat2 => dot_mat2_sparse_unrolled_p8
case (10)
this%dot => dot_sparse_unrolled_p9
this%dot_mat => dot_mat_sparse_unrolled_p9
this%dot_mat2 => dot_mat2_sparse_unrolled_p9
case default
this%dot => dot_sparse
this%dot_mat => dot_mat_sparse
this%dot_mat2 => dot_mat2_sparse
end select
!
else
!
this%dot => dot_sparse
this%dot_mat => dot_mat_sparse
this%dot_mat2 => dot_mat2_sparse
!
end if
!
else
!
this%dot => dot_sparse
this%dot_mat => dot_mat_sparse
this%dot_mat2 => dot_mat2_sparse
!
end if
!
! FOR NOW, KEEP THE MATRIX*VECTOR AND VECTOR*MATRIX POINTERS
! ASSOCIATED WITH THE INTRINSIC MATMUL FUNCTION. STORAGE FOR
! THE SPARSE DATA STILL NEEDS TO FIGURED OUT FOR THE ENTIRE
! MATRIX AND NOT JUST FOR THE COLUMN VECTORS THAT ARE NEEDED
! FOR THE DOT PRODUCT FUNCTIONS.
!
this%mv_mult => mat_vec_mult_sparse
this%vm_mult => vec_mat_mult_sparse
!this%mm_mult => mat_mat_mult_intrinsic
!this%mm_rev_mult => mat_mat_rev_mult_intrinsic
!this%mmrt_mult => mm_mult_intsc_rtrn_transpose
!this%mmrt_rev_mult => mm_rev_mult_intsc_rtrn_transpose
!this%mmut_mult => mm_mult_intsc_use_transpose
!this%mmut_rev_mult => mm_rev_mult_intsc_use_transpose
!
end if
!
end if
!
end subroutine check_for_sparsity
!
!###############################################################################
!###############################################################################
!###############################################################################
!
pure function dot_sparse(this,idx,vector) result(return_value)
!
#ifdef USE_INTEL_MKL
use blas95, only : doti
#endif
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = this%row_ptr(idx+1)
!
#ifdef USE_INTEL_MKL
return_value = doti( this%row_val(n1:n2) , this%row_idx(n1:n2) , vector )
#else
return_value = dot( this%row_val(n1:n2) , vector(this%row_idx(n1:n2)) )
#endif
!
end function dot_sparse
!
!###############################################################################
!
pure function dot_sparse_unrolled_p0(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n
!
continue
!
n = this%row_ptr(idx)+1
!
return_value = this%row_val(n) * vector( this%row_idx(n) )
!
end function dot_sparse_unrolled_p0
!
!###############################################################################
!
pure function dot_sparse_unrolled_p1(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2
!
!.. Local Arrays ..
real(wp), dimension(1:2) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) )
!
end function dot_sparse_unrolled_p1
!
!###############################################################################
!
pure function dot_sparse_unrolled_p2(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3
!
!.. Local Arrays ..
real(wp), dimension(1:3) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) )
!
end function dot_sparse_unrolled_p2
!
!###############################################################################
!
pure function dot_sparse_unrolled_p3(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4
!
!.. Local Arrays ..
real(wp), dimension(1:4) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) )
!
end function dot_sparse_unrolled_p3
!
!###############################################################################
!
pure function dot_sparse_unrolled_p4(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5
!
!.. Local Arrays ..
real(wp), dimension(1:5) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) ) + &
this%row_val(n5) * vector( this%row_idx(n5) )
!
end function dot_sparse_unrolled_p4
!
!###############################################################################
!
pure function dot_sparse_unrolled_p5(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5,n6
!
!.. Local Arrays ..
real(wp), dimension(1:6) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
n6 = n5+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) ) + &
this%row_val(n5) * vector( this%row_idx(n5) ) + &
this%row_val(n6) * vector( this%row_idx(n6) )
!
end function dot_sparse_unrolled_p5
!
!###############################################################################
!
pure function dot_sparse_unrolled_p6(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5,n6,n7
!
!.. Local Arrays ..
real(wp), dimension(1:7) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
n6 = n5+1
n7 = n6+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) ) + &
this%row_val(n5) * vector( this%row_idx(n5) ) + &
this%row_val(n6) * vector( this%row_idx(n6) ) + &
this%row_val(n7) * vector( this%row_idx(n7) )
!
end function dot_sparse_unrolled_p6
!
!###############################################################################
!
pure function dot_sparse_unrolled_p7(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5,n6,n7,n8
!
!.. Local Arrays ..
real(wp), dimension(1:8) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
n6 = n5+1
n7 = n6+1
n8 = n7+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) ) + &
this%row_val(n5) * vector( this%row_idx(n5) ) + &
this%row_val(n6) * vector( this%row_idx(n6) ) + &
this%row_val(n7) * vector( this%row_idx(n7) ) + &
this%row_val(n8) * vector( this%row_idx(n8) )
!
end function dot_sparse_unrolled_p7
!
!###############################################################################
!
pure function dot_sparse_unrolled_p8(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5,n6,n7,n8,n9
!
!.. Local Arrays ..
real(wp), dimension(1:9) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
n6 = n5+1
n7 = n6+1
n8 = n7+1
n9 = n8+1
!
return_value = this%row_val(n1) * vector( this%row_idx(n1) ) + &
this%row_val(n2) * vector( this%row_idx(n2) ) + &
this%row_val(n3) * vector( this%row_idx(n3) ) + &
this%row_val(n4) * vector( this%row_idx(n4) ) + &
this%row_val(n5) * vector( this%row_idx(n5) ) + &
this%row_val(n6) * vector( this%row_idx(n6) ) + &
this%row_val(n7) * vector( this%row_idx(n7) ) + &
this%row_val(n8) * vector( this%row_idx(n8) ) + &
this%row_val(n9) * vector( this%row_idx(n9) )
!
end function dot_sparse_unrolled_p8
!
!###############################################################################
!
pure function dot_sparse_unrolled_p9(this,idx,vector) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
!.. Function Result ..
real(wp) :: return_value
!
!.. Local Scalars ..
integer :: n1,n2,n3,n4,n5,n6,n7,n8,n9,n10
!
!.. Local Arrays ..
real(wp), dimension(1:10) :: a,b
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
n6 = n5+1
n7 = n6+1
n8 = n7+1
n9 = n8+1
n10 = n9+1
!
return_value = this%row_val(n1 ) * vector( this%row_idx(n1 ) ) + &
this%row_val(n2 ) * vector( this%row_idx(n2 ) ) + &
this%row_val(n3 ) * vector( this%row_idx(n3 ) ) + &
this%row_val(n4 ) * vector( this%row_idx(n4 ) ) + &
this%row_val(n5 ) * vector( this%row_idx(n5 ) ) + &
this%row_val(n6 ) * vector( this%row_idx(n6 ) ) + &
this%row_val(n7 ) * vector( this%row_idx(n7 ) ) + &
this%row_val(n8 ) * vector( this%row_idx(n8 ) ) + &
this%row_val(n9 ) * vector( this%row_idx(n9 ) ) + &
this%row_val(n10) * vector( this%row_idx(n10) )
!
end function dot_sparse_unrolled_p9
!
!###############################################################################
!
pure function dot_intrinsic(this,idx,vector) result(return_value)
!
class(matrix), intent(in) :: this
integer, intent(in) :: idx
real(wp), dimension(:), intent(in) :: vector
!
real(wp) :: return_value
!
continue
!
return_value = dot( this%mat(:,idx) , vector )
!
end function dot_intrinsic
!
!###############################################################################
!
pure function dot_mat_intrinsic(this,idx,array) result(return_value)
!
class(matrix), intent(in) :: this
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
real(wp) :: return_value(1:size(array,dim=2))
!
continue
!
return_value(:) = matmul( this%mat(:,idx) , array )
!do n = 1,size(array,dim=2)
! return_value(n) = dot( this%mat(:,idx) , array(:,n) )
!end do
!
end function dot_mat_intrinsic
!
!###############################################################################
!
pure function dot_mat_sparse(this,idx,array) result(return_value)
!
#ifdef USE_INTEL_MKL
use blas95, only : doti
#endif
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1,n2
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = this%row_ptr(idx+1)
!
do n = 1,size(array,dim=2)
#ifdef USE_INTEL_MKL
return_value(n) = doti( this%row_val(n1:n2) , &
array( this%row_idx(n1:n2) , n ) )
#else
return_value(n) = dot( this%row_val(n1:n2) , &
array( this%row_idx(n1:n2) , n ) )
#endif
end do
!
end function dot_mat_sparse
!
!###############################################################################
!
pure function dot_mat_sparse_unrolled_p0(this,idx,array) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1
!
continue
!
n1 = this%row_ptr(idx)+1
!
do n = 1,size(array,dim=2)
return_value(n) = this%row_val(n1) * array( this%row_idx(n1) , n )
end do
!
end function dot_mat_sparse_unrolled_p0
!
!###############################################################################
!
pure function dot_mat_sparse_unrolled_p1(this,idx,array) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1,n2
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
!
do n = 1,size(array,dim=2)
return_value(n) = this%row_val(n1) * array( this%row_idx(n1) , n ) + &
this%row_val(n2) * array( this%row_idx(n2) , n )
end do
!
end function dot_mat_sparse_unrolled_p1
!
!###############################################################################
!
pure function dot_mat_sparse_unrolled_p2(this,idx,array) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1,n2,n3
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
!
do n = 1,size(array,dim=2)
return_value(n) = this%row_val(n1) * array( this%row_idx(n1) , n ) + &
this%row_val(n2) * array( this%row_idx(n2) , n ) + &
this%row_val(n3) * array( this%row_idx(n3) , n )
end do
!
end function dot_mat_sparse_unrolled_p2
!
!###############################################################################
!
pure function dot_mat_sparse_unrolled_p3(this,idx,array) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1,n2,n3,n4
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
!
do n = 1,size(array,dim=2)
return_value(n) = this%row_val(n1) * array( this%row_idx(n1) , n ) + &
this%row_val(n2) * array( this%row_idx(n2) , n ) + &
this%row_val(n3) * array( this%row_idx(n3) , n ) + &
this%row_val(n4) * array( this%row_idx(n4) , n )
end do
!
end function dot_mat_sparse_unrolled_p3
!
!###############################################################################
!
pure function dot_mat_sparse_unrolled_p4(this,idx,array) result(return_value)
!
!.. Passed Argument from Invoking Object ..
class(matrix), intent(in) :: this
!
!.. Formal Arguments ..
integer, intent(in) :: idx
real(wp), intent(in) :: array(:,:)
!
!.. Function Result ..
real(wp) :: return_value(1:size(array,dim=2))
!
!.. Local Scalars ..
integer :: n,n1,n2,n3,n4,n5
!
continue
!
n1 = this%row_ptr(idx)+1
n2 = n1+1
n3 = n2+1
n4 = n3+1
n5 = n4+1
!
do n = 1,size(array,dim=2)
return_value(n) = this%row_val(n1 ) * array( this%row_idx(n1 ) , n ) + &
this%row_val(n2 ) * array( this%row_idx(n2 ) , n ) + &
this%row_val(n3 ) * array( this%row_idx(n3 ) , n ) + &
this%row_val(n4 ) * array( this%row_idx(n4 ) , n ) + &
this%row_val(n5 ) * array( this%row_idx(n5 ) , n )
end do
!
end function dot_mat_sparse_unrolled_p4
!