557 lines
13 KiB
Fortran
557 lines
13 KiB
Fortran
BEGIN_TEMPLATE
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subroutine insertion_$Xsort (x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize) using the insertion sort algorithm.
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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END_DOC
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integer,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer,intent(inout) :: iorder(isize)
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$type :: xtmp
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integer :: i, i0, j, jmax
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do i=2,isize
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xtmp = x(i)
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i0 = iorder(i)
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j=i-1
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do while (j>0)
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if ((x(j) <= xtmp)) exit
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x(j+1) = x(j)
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iorder(j+1) = iorder(j)
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j=j-1
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enddo
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x(j+1) = xtmp
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iorder(j+1) = i0
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enddo
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end subroutine insertion_$Xsort
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subroutine heap_$Xsort(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize) using the heap sort algorithm.
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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END_DOC
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integer,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer,intent(inout) :: iorder(isize)
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integer :: i, k, j, l, i0
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$type :: xtemp
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l = isize/2+1
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k = isize
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do while (.True.)
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if (l>1) then
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l=l-1
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xtemp = x(l)
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i0 = iorder(l)
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else
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xtemp = x(k)
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i0 = iorder(k)
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x(k) = x(1)
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iorder(k) = iorder(1)
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k = k-1
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if (k == 1) then
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x(1) = xtemp
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iorder(1) = i0
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exit
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endif
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endif
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i=l
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j = ishft(l,1)
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do while (j<k)
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if ( x(j) < x(j+1) ) then
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j=j+1
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endif
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if (xtemp < x(j)) then
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x(i) = x(j)
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iorder(i) = iorder(j)
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i = j
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j = ishft(j,1)
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else
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j = k+1
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endif
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enddo
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if (j==k) then
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if (xtemp < x(j)) then
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x(i) = x(j)
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iorder(i) = iorder(j)
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i = j
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j = ishft(j,1)
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else
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j = k+1
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endif
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endif
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x(i) = xtemp
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iorder(i) = i0
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enddo
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end subroutine heap_$Xsort
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subroutine heap_$Xsort_big(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize) using the heap sort algorithm.
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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! This is a version for very large arrays where the indices need
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! to be in integer*8 format
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END_DOC
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integer*8,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer*8,intent(inout) :: iorder(isize)
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integer*8 :: i, k, j, l, i0
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$type :: xtemp
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l = isize/2+1
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k = isize
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do while (.True.)
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if (l>1) then
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l=l-1
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xtemp = x(l)
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i0 = iorder(l)
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else
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xtemp = x(k)
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i0 = iorder(k)
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x(k) = x(1)
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iorder(k) = iorder(1)
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k = k-1
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if (k == 1) then
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x(1) = xtemp
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iorder(1) = i0
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exit
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endif
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endif
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i=l
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j = ishft(l,1)
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do while (j<k)
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if ( x(j) < x(j+1) ) then
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j=j+1
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endif
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if (xtemp < x(j)) then
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x(i) = x(j)
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iorder(i) = iorder(j)
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i = j
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j = ishft(j,1)
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else
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j = k+1
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endif
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enddo
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if (j==k) then
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if (xtemp < x(j)) then
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x(i) = x(j)
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iorder(i) = iorder(j)
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i = j
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j = ishft(j,1)
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else
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j = k+1
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endif
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endif
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x(i) = xtemp
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iorder(i) = i0
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enddo
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end subroutine heap_$Xsort_big
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subroutine sorted_$Xnumber(x,isize,n)
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implicit none
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BEGIN_DOC
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! Returns the number of sorted elements
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END_DOC
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integer, intent(in) :: isize
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$type, intent(in) :: x(isize)
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integer, intent(out) :: n
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integer :: i
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n=1
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if (isize < 2) then
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return
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endif
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do i=2,isize
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if (x(i-1) <= x(i)) then
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n=n+1
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endif
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enddo
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end
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SUBST [ X, type ]
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; real ;;
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d ; double precision ;;
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i ; integer ;;
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i8 ; integer*8 ;;
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i2 ; integer*2 ;;
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END_TEMPLATE
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BEGIN_TEMPLATE
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subroutine $Xsort(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize).
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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END_DOC
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integer,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer,intent(inout) :: iorder(isize)
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integer :: n
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if (isize < 2) then
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return
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endif
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call sorted_$Xnumber(x,isize,n)
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if (isize == n) then
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return
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endif
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if ( isize < 32+n) then
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call insertion_$Xsort(x,iorder,isize)
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else
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call heap_$Xsort(x,iorder,isize)
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endif
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end subroutine $Xsort
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SUBST [ X, type, Y ]
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; real ; i ;;
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d ; double precision ; i8 ;;
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END_TEMPLATE
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BEGIN_TEMPLATE
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subroutine $Xsort(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize).
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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END_DOC
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integer,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer,intent(inout) :: iorder(isize)
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integer :: n
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call $Xradix_sort(x,iorder,isize,-1)
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end subroutine $Xsort
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SUBST [ X, type ]
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i ; integer ;;
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i8 ; integer*8 ;;
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i2 ; integer*2 ;;
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END_TEMPLATE
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BEGIN_TEMPLATE
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subroutine $Xset_order(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! array A has already been sorted, and iorder has contains the new order of
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! elements of A. This subroutine changes the order of x to match the new order of A.
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END_DOC
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integer :: isize
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$type :: x(*)
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$type,allocatable :: xtmp(:)
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integer :: iorder(*)
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integer :: i
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allocate(xtmp(isize))
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do i=1,isize
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xtmp(i) = x(iorder(i))
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enddo
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do i=1,isize
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x(i) = xtmp(i)
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enddo
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deallocate(xtmp)
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end
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SUBST [ X, type ]
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; real ;;
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d ; double precision ;;
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i ; integer ;;
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i8; integer*8 ;;
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i2; integer*2 ;;
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END_TEMPLATE
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BEGIN_TEMPLATE
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subroutine insertion_$Xsort_big (x,iorder,isize)
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implicit none
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BEGIN_DOC
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! Sort array x(isize) using the insertion sort algorithm.
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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! This is a version for very large arrays where the indices need
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! to be in integer*8 format
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END_DOC
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integer*8,intent(in) :: isize
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$type,intent(inout) :: x(isize)
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integer*8,intent(inout) :: iorder(isize)
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$type :: xtmp
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integer*8 :: i, i0, j, jmax
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do i=2_8,isize
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xtmp = x(i)
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i0 = iorder(i)
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j = i-1_8
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do while (j>0_8)
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if (x(j)<=xtmp) exit
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x(j+1_8) = x(j)
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iorder(j+1_8) = iorder(j)
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j = j-1_8
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enddo
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x(j+1_8) = xtmp
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iorder(j+1_8) = i0
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enddo
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end subroutine insertion_$Xsort_big
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subroutine $Xset_order_big(x,iorder,isize)
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implicit none
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BEGIN_DOC
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! array A has already been sorted, and iorder has contains the new order of
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! elements of A. This subroutine changes the order of x to match the new order of A.
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! This is a version for very large arrays where the indices need
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! to be in integer*8 format
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END_DOC
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integer*8 :: isize
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$type :: x(*)
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$type, allocatable :: xtmp(:)
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integer*8 :: iorder(*)
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integer*8 :: i
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allocate(xtmp(isize))
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do i=1_8,isize
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xtmp(i) = x(iorder(i))
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enddo
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do i=1_8,isize
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x(i) = xtmp(i)
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enddo
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deallocate(xtmp)
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end
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SUBST [ X, type ]
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; real ;;
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d ; double precision ;;
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i ; integer ;;
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i8; integer*8 ;;
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i2; integer*2 ;;
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END_TEMPLATE
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BEGIN_TEMPLATE
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recursive subroutine $Xradix_sort$big(x,iorder,isize,iradix)
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implicit none
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BEGIN_DOC
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! Sort integer array x(isize) using the radix sort algorithm.
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! iorder in input should be (1,2,3,...,isize), and in output
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! contains the new order of the elements.
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! iradix should be -1 in input.
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END_DOC
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integer*$int_type, intent(in) :: isize
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integer*$int_type, intent(inout) :: iorder(isize)
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integer*$type, intent(inout) :: x(isize)
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integer, intent(in) :: iradix
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integer :: iradix_new
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integer*$type, allocatable :: x2(:), x1(:)
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integer*$type :: i4 ! data type
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integer*$int_type, allocatable :: iorder1(:),iorder2(:)
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integer*$int_type :: i0, i1, i2, i3, i ! index type
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integer*$type :: mask
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integer :: err
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!DIR$ ATTRIBUTES ALIGN : 128 :: iorder1,iorder2, x2, x1
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if (isize < 2) then
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return
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endif
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if (iradix == -1) then ! Sort Positive and negative
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allocate(x1(isize),iorder1(isize), x2(isize),iorder2(isize),stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to allocate arrays'
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stop
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endif
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i1=1_$int_type
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i2=1_$int_type
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do i=1_$int_type,isize
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if (x(i) < 0_$type) then
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iorder1(i1) = iorder(i)
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x1(i1) = -x(i)
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i1 = i1+1_$int_type
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else
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iorder2(i2) = iorder(i)
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x2(i2) = x(i)
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i2 = i2+1_$int_type
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endif
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enddo
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i1=i1-1_$int_type
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i2=i2-1_$int_type
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do i=1_$int_type,i2
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iorder(i1+i) = iorder2(i)
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x(i1+i) = x2(i)
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enddo
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deallocate(x2,iorder2,stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to deallocate arrays x2, iorder2'
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stop
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endif
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if (i1 > 1_$int_type) then
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call $Xradix_sort$big(x1,iorder1,i1,-2)
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do i=1_$int_type,i1
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x(i) = -x1(1_$int_type+i1-i)
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iorder(i) = iorder1(1_$int_type+i1-i)
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enddo
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endif
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deallocate(x1,iorder1,stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to deallocate arrays x1, iorder1'
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stop
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endif
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if (i2>1_$int_type) then
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call $Xradix_sort$big(x(i1+1_$int_type),iorder(i1+1_$int_type),i2,-2)
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endif
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return
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else if (iradix == -2) then ! Positive
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! Find most significant bit
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i0 = 0_$int_type
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i4 = maxval(x)
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iradix_new = max($integer_size-1-leadz(i4),1)
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mask = ibset(0_$type,iradix_new)
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allocate(x1(isize),iorder1(isize), x2(isize),iorder2(isize),stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to allocate arrays'
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stop
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endif
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i1=1_$int_type
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i2=1_$int_type
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do i=1_$int_type,isize
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if (iand(mask,x(i)) == 0_$type) then
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iorder1(i1) = iorder(i)
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x1(i1) = x(i)
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i1 = i1+1_$int_type
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else
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iorder2(i2) = iorder(i)
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x2(i2) = x(i)
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i2 = i2+1_$int_type
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endif
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enddo
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i1=i1-1_$int_type
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i2=i2-1_$int_type
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do i=1_$int_type,i1
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iorder(i0+i) = iorder1(i)
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x(i0+i) = x1(i)
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enddo
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i0 = i0+i1
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i3 = i0
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deallocate(x1,iorder1,stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to deallocate arrays x1, iorder1'
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stop
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endif
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do i=1_$int_type,i2
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iorder(i0+i) = iorder2(i)
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x(i0+i) = x2(i)
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enddo
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i0 = i0+i2
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deallocate(x2,iorder2,stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to deallocate arrays x2, iorder2'
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stop
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endif
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if (i3>1_$int_type) then
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call $Xradix_sort$big(x,iorder,i3,iradix_new-1)
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endif
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if (isize-i3>1_$int_type) then
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call $Xradix_sort$big(x(i3+1_$int_type),iorder(i3+1_$int_type),isize-i3,iradix_new-1)
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endif
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return
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endif
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ASSERT (iradix >= 0)
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if (isize < 48) then
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call insertion_$Xsort$big(x,iorder,isize)
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return
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endif
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allocate(x2(isize),iorder2(isize),stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to allocate arrays x1, iorder1'
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stop
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endif
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mask = ibset(0_$type,iradix)
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i0=1_$int_type
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i1=1_$int_type
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do i=1_$int_type,isize
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if (iand(mask,x(i)) == 0_$type) then
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iorder(i0) = iorder(i)
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x(i0) = x(i)
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i0 = i0+1_$int_type
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else
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iorder2(i1) = iorder(i)
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x2(i1) = x(i)
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i1 = i1+1_$int_type
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endif
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enddo
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i0=i0-1_$int_type
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i1=i1-1_$int_type
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do i=1_$int_type,i1
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iorder(i0+i) = iorder2(i)
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x(i0+i) = x2(i)
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enddo
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deallocate(x2,iorder2,stat=err)
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if (err /= 0) then
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print *, irp_here, ': Unable to allocate arrays x2, iorder2'
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stop
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endif
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if (iradix == 0) then
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return
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endif
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if (i1>1_$int_type) then
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call $Xradix_sort$big(x(i0+1_$int_type),iorder(i0+1_$int_type),i1,iradix-1)
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endif
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if (i0>1) then
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call $Xradix_sort$big(x,iorder,i0,iradix-1)
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endif
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end
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SUBST [ X, type, integer_size, is_big, big, int_type ]
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i ; 4 ; 32 ; .False. ; ; 4 ;;
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i8 ; 8 ; 64 ; .False. ; ; 4 ;;
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i2 ; 2 ; 16 ; .False. ; ; 4 ;;
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i ; 4 ; 32 ; .True. ; _big ; 8 ;;
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i8 ; 8 ; 64 ; .True. ; _big ; 8 ;;
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END_TEMPLATE
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