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ml2.f90
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Program ml1
!parameter (Npix = 500, L = 20)
!real f(Npix,Npix)
integer L, Npix
real, allocatable :: f(:,:)
real conv, shear, smooth, alpha
character (len=100) :: LineIn = ''
integer :: lenLineIn, startValue, endValue
call Get_Environment_Variable('QUERY_STRING', LineIn)
!LineIn = 'ml1.cgi?conv=0.3&shear=0.3&smooth=0.0&alpha=0.0&size=20&npix=500'
lenLineIn = len_trim(LineIn)
startValue = INDEX(LineIn,'conv=') + 5
endValue = startValue + INDEX(LineIn(startValue:),'&') - 2
read(LineIn(startValue:endValue),*) conv
startValue = INDEX(LineIn,'shear=') + 6
endValue = startValue + INDEX(LineIn(startValue:),'&') - 2
read(LineIn(startValue:endValue),*) shear
startValue = INDEX(LineIn,'smooth=') + 7
endValue = startValue + INDEX(LineIn(startValue:),'&') - 2
read(LineIn(startValue:endValue),*) smooth
startValue = INDEX(LineIn,'alpha=') + 6
endValue = startValue + INDEX(LineIn(startValue:),'&') - 2
read(LineIn(startValue:endValue),*) alpha
startValue = INDEX(LineIn,'size=') + 5
endValue = startValue + INDEX(LineIn(startValue:),'&') - 2
read(LineIn(startValue:endValue),*) L
startValue = INDEX(LineIn,'npix=') + 5
read(LineIn(startValue:),*) Npix
allocate(f(Npix,Npix))
call microlens(conv, shear, smooth, alpha, L, f, Npix)
write(6,*) char(10), char(13) ! LF + CR
close(6)
open(unit = 6, access = 'stream', action = 'write')
write(6) f
close(6)
end
subroutine microlens(conv, shear, smooth, alpha, L, f, Npix)
use mkl_poisson
implicit double precision (A-H,O-Z)
parameter(pi = 3.14159265358979324D0)
! parameter (Npix = 500)
parameter(ratio = 50.D0) ! mass_max/mass_min = 50 in a power law; maybe 100?
real f(Npix,Npix)
real conv, shear, smooth, alpha
intent(out) f
double precision, allocatable :: x(:), y(:), p(:,:)
real, allocatable :: xs(:), ys(:), Re(:)
real start, dtime
character(len = 8) :: arg
!aportion
double precision :: du(4) = (/-0.5,0.5,0.5,-0.5/)
double precision :: dv(4) = (/-0.5,-0.5,0.5,0.5/)
double precision :: up(4), vp(4)
double precision :: dy_dx(2)
!potential
integer state
integer ipar(128)
double precision, allocatable :: spar(:), bd_ax(:), bd_bx(:), bd_ay(:), bd_by(:)
type(DFTI_DESCRIPTOR), pointer :: xhandle
character(4) BCtype
conv_s = smooth*conv
dL = dble(L)/Npix
xL = 1.5*dble(L)/abs(1-conv-shear)
yL = 1.5*dble(L)/abs(1-conv+shear)
dh = dL !(0.5,1.0,2.0,4.0)*dL
du = du*dh/dL
dv = dv*dh/dL
Nx = NINT(xL/dh)
Ny = NINT(yL/dh)
allocate(x(Nx+1), y(Ny+1), p(Nx+1, Ny+1))
do i = 1, Nx+1
x(i) = (-Nx/2+i-1)*dh
enddo
do j = 1, Ny+1
y(j) = (-Ny/2+j-1)*dh
enddo
! Random stars generation
R = max(xL,yL)
Ns = conv*(1-smooth)/pi*R**2
allocate(xs(Ns),ys(Ns),Re(Ns))
call RANDOM_NUMBER(xs)
call RANDOM_NUMBER(ys)
xs = R*(xs-0.5)
ys = R*(ys-0.5)
! Power law mass distribution
if (alpha.le.0.01) then ! identical
Re = 1.
else ! power-law
xmean = 1.0 ! mean mass
xmin = xmean*(2-alpha)/(1-alpha)*(ratio**(1-alpha)-1)/(ratio**(2-alpha)-1)
xmax = ratio*xmin
call RANDOM_NUMBER(Re) ! Re ~ mass, really Re2
Re = ((xmax**(1-alpha)-xmin**(1-alpha)) * Re + xmin**(1-alpha))**(1./(1-alpha))
endif
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! mass distribution
do k = 1, Ns
x1 = xs(k)/dh+Nx/2+1
y1 = ys(k)/dh+Ny/2+1
i = floor(x1)
j = floor(y1)
if (i.ge.1.and.i.le.Nx.and.j.ge.1.and.j.le.Ny) then
dx = x1 - i
dy = y1 - j
p(i,j) = p(i,j) + (1-dx)*(1-dy)
p(i+1,j) = p(i+1,j) + dx*(1-dy)
p(i,j+1) = p(i,j+1) + (1-dx)*dy
p(i+1,j+1) = p(i+1,j+1) + dx*dy
p(i:i+1,j:j+1) = Re(k)*p(i:i+1,j:j+1)
endif
enddo
p = p*(-2.D0*pi/dh/dh)
allocate(spar(13*Nx/2+7), bd_ax(Ny+1), bd_bx(Ny+1), bd_ay(Nx+1), bd_by(Nx+1))
! boundary conditions
ax=-Nx*dh/2
bx= Nx*dh/2
ay=-Ny*dh/2
by= Ny*dh/2
q = 0.0D0
BCtype = 'DDDD' !Dirichlet conditions
do k = 1, Ns
do j = 1,Ny+1
r2 = (x(1)-xs(k))**2 + (y(j)-ys(k))**2
bd_ax(j) = dlog(r2)/2.D0 + bd_ax(j)
r2 = (x(Nx+1)-xs(k))**2 + (y(j)-ys(k))**2
bd_bx(j) = dlog(r2)/2.D0 + bd_bx(j)
enddo
do i = 1,Nx+1
r2 = (x(i)-xs(k))**2 + (y(1)-ys(k))**2
bd_ay(i) = dlog(r2)/2.D0 + bd_ay(i)
r2 = (x(i)-xs(k))**2 + (y(Ny+1)-ys(k))**2
bd_by(i) = dlog(r2)/2.D0 + bd_by(i)
enddo
enddo
! BCtype = 'NNNN' !Neumann conditions
! do k = 1, Ns
! do j = 1,Ny+1
! r2 = (x(1)-xs(k))**2 + (y(j)-ys(k))**2
! bd_ax(j) = -(x(1)-xs(k))/r2 + bd_ax(j)
! r2 = (x(Nx+1)-xs(k))**2 + (y(j)-ys(k))**2
! bd_bx(j) = (x(Nx+1)-xs(k))/r2 + bd_bx(j)
! enddo
! do i = 1,Nx+1
! r2 = (x(i)-xs(k))**2 + (y(1)-ys(k))**2
! bd_ay(i) = -(y(1)-ys(k))/r2 + bd_ay(i)
! r2 = (x(i)-xs(k))**2 + (y(Ny+1)-ys(k))**2
! bd_by(i) = (y(Ny+1)-ys(k))/r2 + bd_by(i)
! enddo
! enddo
ipar = 0
call d_init_Helmholtz_2D(ax, bx, ay, by, Nx, Ny, BCtype, q, ipar, spar, state)
call d_commit_Helmholtz_2D(p, bd_ax, bd_bx, bd_ay, bd_by, xhandle, ipar, spar, state)
call d_Helmholtz_2D(p, bd_ax, bd_bx, bd_ay, bd_by, xhandle, ipar, spar, state)
call free_Helmholtz_2D(xhandle, ipar, state)
f = 0.0
!$OMP PARALLEL DO COLLAPSE(2) PRIVATE(i,j,alphaX,alphaY,p11,p12,p22,a11,a12,a22,detA,uc,vc,up,vp,imin,imax,jmin,jmax,jm,im,dy_dx)
do i = 2, Nx-1
do j = 2, Ny-1
alphaX = (p(i+1,j)-p(i-1,j))/(2.D0*dh)
alphaY = (p(i,j+1)-p(i,j-1))/(2.D0*dh)
p11 = (p(i+1,j) - 2.D0*p(i,j) + p(i-1,j))/(dh*dh)
p22 = (p(i,j+1) - 2.D0*p(i,j) + p(i,j-1))/(dh*dh)
p12 = (p(i+1,j+1)-p(i+1,j-1)-p(i-1,j+1)+p(i-1,j-1))/(4.D0*dh*dh)
a11 = 1.D0-conv_s-shear-p11
a22 = 1.D0-conv_s+shear-p22
a12 = -p12
detA = a11*a22 - a12*a12
uc = x(i)*(1.D0-conv_s-shear) - alphaX
vc = y(j)*(1.D0-conv_s+shear) - alphaY
uc = uc/dL + Npix/2 + 1
vc = vc/dL + Npix/2 + 1
if (detA >= 0) then
up = a11*du + a12*dv + uc
vp = a12*du + a22*dv + vc
dy_dx(1) = a12/a11
dy_dx(2) = a22/a12
else
up = a12*du + a11*dv + uc
vp = a22*du + a12*dv + vc
dy_dx(1) = a22/a12
dy_dx(2) = a12/a11
detA = -detA
endif
uwidth = (abs(a11)+abs(a12))/2
vwidth = (abs(a22)+abs(a12))/2
width_limit = 5.D0
uwidth = min(uwidth,width_limit)
vwidth = min(vwidth,width_limit)
imin = uc - uwidth + 0.5
imax = uc + uwidth + 0.5
jmin = vc - vwidth + 0.5
jmax = vc + vwidth + 0.5
! imin = min(up(1),up(2),up(3),up(4)) + 0.5
! imax = max(up(1),up(2),up(3),up(4)) + 0.5
! jmin = min(vp(1),vp(2),vp(3),vp(4)) + 0.5
! jmax = max(vp(1),vp(2),vp(3),vp(4)) + 0.5
if ((imin.ge.1).and.(imax.le.Npix).and.(jmin.ge.1).and.(jmax.le.Npix)) then
do jm = jmin, jmax
do im = imin, imax
f(im,jm) = f(im,jm) + area(im, jm, up, vp, dy_dx) / detA
enddo
enddo
endif
enddo
enddo
!$OMP END PARALLEL DO
end subroutine microlens
function area(im, jm, x, y, dy_dx)
implicit double precision (A-H,O-Z)
double precision area
integer im, jm
double precision x(4), y(4)
double precision dy_dx(2)
double precision xv(8), yv(8) !vertices
byte code, code1, code2
byte codes(5)
byte, parameter :: INSIDE = 0, LEFT = 2#0001, RIGHT = 2#0010, BOTTOM = 2#0100, TOP = 2#1000
byte, parameter :: LEFT_BOTTOM = 2#0101, BOTTOM_RIGHT = 2#0110, RIGHT_TOP = 2#1010, TOP_LEFT = 2#1001
xl = im-0.5D0
xr = im+0.5D0
yb = jm-0.5D0
yt = jm+0.5D0
do k = 1, 4
x0 = x(k); y0 = y(k)
code = 0
if (x0 < xl) then
code = LEFT
elseif (x0 > xr) then
code = RIGHT
endif
if (y0 < yb) then
code = ior(code, BOTTOM)
elseif (y0 > yt) then
code = ior(code, TOP)
endif
codes(k) = code
enddo
codes(5) = codes(1)
area = 0
kv = 0
do k = 1, 4
x1 = x(k); y1 = y(k)
s = dy_dx(MOD(k-1,2)+1) ! even, odd
code1 = codes(k); code2 = codes(k+1)
! print*, k, x1, y1, code1
select case(code1)
case(INSIDE)
kv = kv + 1; xv(kv) = x1; yv(kv) = y1
select case(code2)
case(INSIDE)
case(LEFT)
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
case(BOTTOM)
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
case(RIGHT)
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
case(TOP)
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
case(LEFT_BOTTOM)
yc = y1 + s*(xl-x1)
if (yc >= yb) then !left cross
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else !bottom cross
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
case(BOTTOM_RIGHT)
xc = x1 + (yb-y1)/s
if (xc <= xr) then !bottom cross
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else !right cross
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
case(RIGHT_TOP)
yc = y1 + s*(xr-x1)
if (yc <= yt) then !right cross
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else !top cross
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(TOP_LEFT)
xc = x1 + (yt-y1)/s
if (xc >= xl) then !top cross
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else !left cross
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
end select
case(LEFT)
select case(code2)
case(LEFT, LEFT_BOTTOM, TOP_LEFT)
case(INSIDE)
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
case(BOTTOM)
yc = y1 + s*(xl-x1)
if (yc <= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
else ! add the two vertices
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
case(BOTTOM_RIGHT)
yc = y1 + s*(xl-x1)
if (yc <= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
else !add two vertices
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yb-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
endif
case(RIGHT) ! add two
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
case(TOP)
yc = y1 + s*(xl-x1)
if (yc >= yt) then
return
else ! add the two vertices
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(RIGHT_TOP)
yc = y1 + s*(xl-x1)
if (yc >= yt) then
return
else ! add the two vertices
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yt-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
endif
end select
case(BOTTOM)
select case(code2)
case(BOTTOM, BOTTOM_RIGHT, LEFT_BOTTOM)
case(INSIDE)
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
case(LEFT)
xc = x1 + (yb-y1)/s
if (xc <= xl) then
return
else ! add the two vertices
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
case(TOP_LEFT)
xc = x1 + (yb-y1)/s
if (xc <= xl) then
return
else ! add the two vertices
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xl-x1)
if (yc <= yt) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
endif
case(RIGHT)
xc = x1 + (yb-y1)/s
if (xc >= xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
else ! add the two vertices
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
case(RIGHT_TOP)
xc = x1 + (yb-y1)/s
if (xc >= xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
else ! add the two vertices
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xr-x1)
if (yc <= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
endif
case(TOP)! add two
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
end select
case(RIGHT)
select case(code2)
case(RIGHT, RIGHT_TOP, BOTTOM_RIGHT)
case(INSIDE)
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
case(LEFT) ! add two
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
case(BOTTOM)
yc = y1 + s*(xr-x1)
if (yc <= yb) then
return
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
case(LEFT_BOTTOM)
yc = y1 + s*(xr-x1)
if (yc <= yb) then
return
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yb-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
endif
case(TOP)
yc = y1 + s*(xr-x1)
if (yc >= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
else ! add two
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(TOP_LEFT)
yc = y1 + s*(xr-x1)
if (yc >= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
else ! add two
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yt-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
endif
end select
case(TOP)
select case(code2)
case(TOP, TOP_LEFT, RIGHT_TOP)
case(INSIDE)
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
case(LEFT)
xc = x1 + (yt-y1)/s
if (xc <= xl) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
case(LEFT_BOTTOM)
xc = x1 + (yt-y1)/s
if (xc <= xl) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xl-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
endif
case(BOTTOM) ! add two
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
case(RIGHT)
xc = x1 + (yt-y1)/s
if (xc >= xr) then
return
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
case(BOTTOM_RIGHT)
xc = x1 + (yt-y1)/s
if (xc >= xr) then
return
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xr-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
endif
end select
! Two bits corners
case(LEFT_BOTTOM)
select case(code2)
case(LEFT_BOTTOM, LEFT)
case(INSIDE)
yc = y1 + s*(xl-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
case(BOTTOM,BOTTOM_RIGHT)
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
case(RIGHT)
yc = y1 + s*(xl-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
xc = x1 + (yb-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
endif
endif
case(RIGHT_TOP)
yc = y1 + s*(xl-x1)
if (yc >= yt) then
return
elseif (yc < yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
xc = x1 + (yb-y1)/s
if (xc >= xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xr-x1)
if (yc <= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
endif
else !(yb <= yc < yt)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yt-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
endif
case(TOP)
yc = y1 + s*(xl-x1)
if (yc >= yt) then
return
elseif (yc < yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else !(yb <= yc < yt)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(TOP_LEFT)
return
end select
case(BOTTOM_RIGHT)
select case(code2)
case(BOTTOM_RIGHT, BOTTOM)
case(INSIDE)
xc = x1 + (yb-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
case(LEFT)
xc = x1 + (yb-y1)/s
if (xc >= xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
elseif (xc <= xl) then
return
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
case(RIGHT,RIGHT_TOP)
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
case(TOP)
xc = x1 + (yb-y1)/s
if (xc >= xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
yc = y1 + s*(xr-x1)
if (yc >= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(LEFT_BOTTOM)
return
case(TOP_LEFT)
xc = x1 + (yb-y1)/s
if (xc <= xl) then
return
elseif (xc > xr) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yb
yc = y1 + s*(xr-x1)
if (yc >= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yt-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
endif
else !(xl < xc <=xr)
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
yc = y1 + s*(xl-x1)
if (yc <= yt) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
endif
end select
case(RIGHT_TOP)
select case(code2)
case(RIGHT_TOP, RIGHT)
case(INSIDE)
yc = y1 + s*(xr-x1)
if (yc <= yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
endif
case(LEFT)
xc = x1 + (yt-y1)/s
if (xc <= xl) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
elseif (xc >= xr) then
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
case(BOTTOM)
yc = y1 + s*(xr-x1)
if (yc <= yb) then
return
elseif (yc > yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
xc = x1 + (yt-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else !(yb < yc <= yt)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
case(TOP,TOP_LEFT)
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
case(LEFT_BOTTOM)
yc = y1 + s*(xr-x1)
if (yc <= yb) then
return
elseif (yc > yt) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yt
xc = x1 + (yt-y1)/s
if (xc <= xl) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xl-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
else
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
endif
else !(yb < yc < yt)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
xc = x1 + (yb-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
endif
case(BOTTOM_RIGHT)
return
end select
case(TOP_LEFT)
select case(code2)
case(TOP_LEFT, TOP)
case(INSIDE)
xc = x1 + (yt-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
endif
case(LEFT,LEFT_BOTTOM)
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
case(BOTTOM)
xc = x1 + (yt-y1)/s
if (xc >= xl) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
yc = y1 + s*(xl-x1)
if (yc <= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
endif
case(RIGHT)
xc = x1 + (yt-y1)/s
if (xc >= xr) then
return
elseif (xc < xl) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
yc = y1 + s*(xl-x1)
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
case(BOTTOM_RIGHT)
xc = x1 + (yt-y1)/s
if (xc >= xr) then
return
elseif (xc < xl) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yt
yc = y1 + s*(xl-x1)
if (yc <= yb) then
kv = kv + 1; xv(kv) = xl; yv(kv) = yb
else
kv = kv + 1; xv(kv) = xl; yv(kv) = yc
xc = x1 + (yb-y1)/s
if (xc <= xr) then
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
else
yc = y1 + s*(xr-x1)
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
endif
endif
else !(xl <= xc < xr)
kv = kv + 1; xv(kv) = xc; yv(kv) = yt
yc = y1 + s*(xr-x1)
if (yc >= yb) then
kv = kv + 1; xv(kv) = xr; yv(kv) = yc
else
xc = x1 + (yb-y1)/s
kv = kv + 1; xv(kv) = xc; yv(kv) = yb
endif
endif
case(RIGHT_TOP)
return
end select
end select
enddo
do k = 1, kv-1
area = area + xv(k)*yv(k+1)-xv(k+1)*yv(k)
enddo
area = area + xv(kv)*yv(1) - xv(1)*yv(kv)
area = 0.5D0*area
end function area