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plc-2.0-parallel.patch
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plc-2.0-parallel.patch
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--- ./plc-2.0/src/bflike/bflike_smw.f90 2014-10-13 16:16:40.000000000 +0200
+++ ./plc-2.0/src/bflike/bflike_smw.f90 2019-02-26 19:19:10.931412000 +0100
@@ -285,6 +285,7 @@
module bflike_smw
+ use omp_lib ! to be able to manipulate with nested OMP levels
use healpix_types
use bflike_utils_smw
use fitstools_smw , only : read_dbintab ,printerror
@@ -297,7 +298,7 @@
integer,save :: ntemp ,nq ,nu ,ntot ,nqu ,lmax ,lswitch ,ndata
real(dp) ,allocatable ,dimension(:,:) ,save :: clnorm ,Tvec ,Qvec ,Uvec ,dt ,auxdt ,cls
- real(dp) ,allocatable ,dimension(:) ,save :: reflike ,pl,plm,f1,f2
+ real(dp) ,allocatable ,dimension(:) ,save :: reflike, pl, plm, f1, f2
real(dp) ,allocatable ,target :: S(:,:)
type(triangular_matrix) ,save :: cos1 ,cos2 ,sin1 ,sin2 ,ncov
@@ -413,12 +414,13 @@
end subroutine external_compute_plms
subroutine init_pix_like_smw(clik_bflike_dir)
+ ! also lot of time #HOTSPOT..
implicit none
character(len=*) ,intent(in) :: clik_bflike_dir
integer(i4b) :: i ,j ,l ,myunit ,err &
- ,iq ,iu ,jq ,ju ,il ,nside ,nwrite ,jdum ,blocksize ,readwrite ,hdutype
+ ,iq ,iu ,jq ,ju ,il ,nside ,nwrite ,jdum ,blocksize ,readwrite,hdutype, jdum0, jdum1, second_loop_base, third_loop_base
real(dp) :: theta ,phi ,ell ,mod ,a1 ,a2 ,nullval
real(dp) ,allocatable :: evec(:,:) ,clstmp(:,:) ,NCVM(:,:) ,bl(:,:)
character(len=256) :: datafile ,basisfile ,clfiducial
@@ -522,37 +524,66 @@
!geometry
allocate(Tvec(3,ntemp),Qvec(3,nq),Uvec(3,nu))
- jdum = -1
+
+ !$omp parallel sections private(jdum1,jdum0,theta,phi,mod,i) shared(Tvec,Qvec,Uvec)
+ !$omp section
do i=1,ntemp
- jdum = jdum+1; theta = evec(jdum,1)
- jdum = jdum+1; phi = evec(jdum,1)
+ jdum1 = (i*2)-1
+ jdum0 = jdum1-1
+ theta = evec(jdum0,1)
+ phi = evec(jdum1,1)
+
Tvec(1,i) = sin(theta)*cos(phi)
Tvec(2,i) = sin(theta)*sin(phi)
Tvec(3,i) = cos(theta)
mod = sqrt(sum(Tvec(:,i)**2))
Tvec(:,i) = Tvec(:,i)/mod
end do
+
+ !$omp section
+
+ second_loop_base = (2*ntemp)-1
+ !print*,'second_loop_base :', second_loop_base
do i=1,nq
- jdum = jdum+1; theta = evec(jdum,1)
- jdum = jdum+1; phi = evec(jdum,1)
+ jdum1 = second_loop_base+(i*2)
+ jdum0 = jdum1-1
+ theta = evec(jdum0,1)
+ phi = evec(jdum1,1)
+
Qvec(1,i) = sin(theta)*cos(phi)
Qvec(2,i) = sin(theta)*sin(phi)
Qvec(3,i) = cos(theta)
mod = sqrt(sum(Qvec(:,i)**2))
Qvec(:,i) = Qvec(:,i)/mod
end do
+
+ !$omp section
+ third_loop_base = (2*ntemp)+(2*nq)-1
+
do i=1,nu
- jdum = jdum+1; theta = evec(jdum,1)
- jdum = jdum+1; phi = evec(jdum,1)
+
+ jdum1 = third_loop_base+(i*2)
+ jdum0 = jdum1-1
+ theta = evec(jdum0,1)
+ phi = evec(jdum1,1)
+
Uvec(1,i) = sin(theta)*cos(phi)
Uvec(2,i) = sin(theta)*sin(phi)
Uvec(3,i) = cos(theta)
mod = sqrt(sum(Uvec(:,i)**2))
Uvec(:,i) = Uvec(:,i)/mod
end do
+ !$omp end parallel sections
+
+
+
!beam
- iu = jdum
+ !iu = jdum
+ iu = ((2*ntemp)+(2*nq)+(2*nu)-1) !order independent patch.. JDV
+ !print*,'after 3 loops, iu: :', iu
+ !print*,'jdum :', jdum
+
allocate(bl(0:4*nside,6),clnorm(2:lmax,6))
do i=1,6
il = iu+1
@@ -618,6 +649,7 @@
end if
allocate(fevec(2:lswitch),feval(2:lswitch),cblocks(2:lswitch))
+ print*,'lswitch :', lswitch
do l=2,lswitch
call fevec(l)%alloc(nrow=ntot,ncol=3*(2*l+1))
fevec(l)%m = 0.d0
@@ -661,6 +693,7 @@
stop
end if
+ print*,'ndata :',ndata
do i = 1,ndata
reflike(i) = sum(dt(:,i)*auxdt(:,i))
end do
@@ -711,8 +744,11 @@
integer(i4b) :: i ,j ,iq ,jq ,iu ,ju
real(dp) :: a1 ,a2
-! QT
+ !TODO
+
+ !$omp parallel do private(j,jq,ju,a1,a2) shared(cos1,sin1)
do i=1,ntemp
+! QT
do j=1,nq
call get_rotation_angle(QVec(:,j),TVec(:,i),a1,a2)
jq = j +ntemp
@@ -729,9 +765,12 @@
end do
end do
+ !$omp parallel do private(j,iq,jq,ju,a1,a2) shared(cos1,sin1,cos2,sin2)
do i = 1,nq
!QQ
iq = i+ntemp
+
+ !_DIR$ SIMD
do j = i,nq
call get_rotation_angle(QVec(:,j),QVec(:,i),a1,a2)
jq = j+ntemp
@@ -743,6 +782,7 @@
end do
+ !_DIR$ SIMD
do j=1,nu
call get_rotation_angle(UVec(:,j),QVec(:,i),a1,a2)
@@ -756,6 +796,7 @@
end do
end do
+ !$omp parallel do private(j,iu,ju,a1,a2) shared(cos1,sin1,cos2,sin2)
do i =1,nu
!UU
iu = i+ntemp+nq
@@ -1040,7 +1081,7 @@
end if
end subroutine get_tt_cov
-
+
subroutine get_pp_cov(clsin,linf,lsup,cov,project_mondip,symmetrize)
implicit none
@@ -1068,8 +1109,10 @@
f2(2) = -12.d0*cz
do l = 3,lsup
plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
+ enddo
+
+ do l = 3,lsup
+ f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ (2*l+4)*cz*plm(l-1)
f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
enddo
qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
@@ -1096,8 +1139,9 @@
f2(2) = -12.d0*cz
do l = 3,lsup
plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
+ enddo
+ do l = 3,lsup
+ f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ (2*l+4)*cz*plm(l-1)
f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
enddo
qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
@@ -1126,8 +1170,9 @@
f2(2) = -12.d0*cz
do l = 3,lsup
plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
+ enddo
+ do l = 3,lsup
+ f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ (2*l+4)*cz*plm(l-1)
f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
enddo
qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
@@ -1167,21 +1212,27 @@
integer :: i,j,l,ju,jq
real(dp) :: tq,tu,cz
+ real(dp) ,allocatable :: pl_vector (:) !new vector
+
cls(2:lsup,smwTE) =clsin(2:lsup,smwTE)*clnorm(2:lsup,smwTE)
cls(2:lsup,smwTB) =clsin(2:lsup,smwTB)*clnorm(2:lsup,smwTB)
- do i=1,ntemp
+ !$omp parallel do private(cz,pl_vector,j,l,tq,tu,jq,ju) shared(cov)
+ do i=1,ntemp ! perhaps we can split..
+
+ allocate(pl_vector(lsup)) !alocate memory - we use this instead pl and plm global variables..
! QT
+ pl_vector(1) = 0.d0
do j=1,nq
cz = sum(Qvec(:,j)*Tvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0*(1.d0 -cz*cz)
+ !pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0*(1.d0 -cz*cz)
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l-2)
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l-2)
enddo
- tq = -sum(cls(linf:lsup,smwTE)*plm(linf:lsup))
- tu = -sum(cls(linf:lsup,smwTB)*plm(linf:lsup))
+ tq = -sum(cls(linf:lsup,smwTE)*pl_vector(linf:lsup))
+ tu = -sum(cls(linf:lsup,smwTB)*pl_vector(linf:lsup))
jq = j +ntemp
@@ -1190,15 +1241,16 @@
enddo
!UT
+ pl_vector(1) = 0.d0
do j=1,nu
cz = sum(Uvec(:,j)*Tvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0*(1.d0 -cz*cz)
+ !pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0*(1.d0 -cz*cz)
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l-2)
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l-2)
enddo
- tq = -sum(cls(linf:lsup,smwTE)*plm(linf:lsup))
- tu = -sum(cls(linf:lsup,smwTB)*plm(linf:lsup))
+ tq = -sum(cls(linf:lsup,smwTE)*pl_vector(linf:lsup))
+ tu = -sum(cls(linf:lsup,smwTB)*pl_vector(linf:lsup))
ju = j +ntemp +nq
@@ -1206,6 +1258,8 @@
enddo
+ deallocate(pl_vector)
+
end do
if (present(symmetrize) .and. symmetrize) then
@@ -1346,9 +1400,16 @@
integer ,intent(in) :: linf ,lsup
real(dp) ,intent(inout) :: NCM(:,:)
logical ,intent(in) ,optional :: project_mondip
+ real(dp) ,allocatable :: pl_vector (:) !new vector
+ real(dp) ,allocatable :: f1_vector (:)
+ real(dp) ,allocatable :: f2_vector (:)
+ real(dp) ,allocatable :: ncm_vector (:)
+
integer :: i ,j ,l ,iu ,iq ,ju ,jq
- real(dp) :: tt ,qq ,uu ,tq ,tu ,qu ,cz ,c1c2 ,s1s2 ,c1s2 ,s1c2 ,ct0 ,ct1
+ integer :: omp_num_threads_bak,omp_parallel_section_pl,omp_main_loop_pl,omp_inner_loop_pl
+ LOGICAL :: omp_nested_bak
+ real(dp) :: tt ,qq ,uu ,tq ,tu ,qu ,cz ,c1c2 ,s1s2 ,c1s2 ,s1c2 ,ct0 ,ct1, res
ct0 = 0._dp
ct1 = 0._dp
@@ -1362,70 +1423,176 @@
cls(2:lsup,:) =clsin(2:lsup,:)*clnorm(2:lsup,:)
+ print *, "Before: max_act_lev=", omp_get_max_active_levels(), &
+ ", num_thds=", omp_get_num_threads(), &
+ ", max_thds=", omp_get_max_threads(), &
+ ", get_nested=", omp_get_nested()
+
+ omp_num_threads_bak = omp_get_max_threads()
+ omp_nested_bak = omp_get_nested()
+
+ ! this should be 3 as there are three sections(?)
+ ! from obvious reasons, 1 is minimum..
+ omp_parallel_section_pl = MIN(3,omp_num_threads_bak)
+ omp_main_loop_pl = MAX(FLOOR(SQRT(REAL(omp_num_threads_bak / omp_parallel_section_pl))),1)
+ print *, "omp_main_loop_pl=", omp_main_loop_pl
+ omp_inner_loop_pl = MAX((omp_num_threads_bak/omp_parallel_section_pl)/omp_main_loop_pl,1)
+ print *, "omp_inner_loop_pl=", omp_main_loop_pl
+
+ call omp_set_nested(.true.)
+ call omp_set_max_active_levels(3) ! we have 3 levels of paralelism
+ !call omp_set_dynamic(.false.)
+ call omp_set_num_threads(omp_main_loop_pl)
+
+ ! HOTSPOT
+
+ !$omp parallel do shared(NCM)
do i=1,ntemp
-! TT
+
+ call omp_set_num_threads(omp_parallel_section_pl)
+
+ !$omp parallel sections private(ncm_vector) shared(NCM)
+
+ ! TT =====================================
+
+ !$omp section
+
+ allocate(ncm_vector(ntemp))
+ ncm_vector(:)=0
+
+ call omp_set_num_threads(omp_inner_loop_pl)
+
+ !$omp parallel do private(cz,tt,pl_vector) reduction(+:ncm_vector)
do j=i,ntemp
cz = sum(Tvec(:,j)*Tvec(:,i))
- pl(1) = cz
- pl(2) = 1.5d0*cz*cz -.5d0
+ allocate(pl_vector(lsup))
+ pl_vector(1) = cz
+ pl_vector(2) = 1.5d0*cz*cz -.5d0
+
do l = 3,lsup
- pl(l) =(cz*(2*l -1)*pl(l-1) -(l-1)*pl(l-2))/l
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l-1)*pl_vector(l-2))/l
enddo
- tt = sum(cls(linf:lsup,smwTT)*pl(linf:lsup))
- NCM(j,i) = NCM(j,i) +tt +ct0 +pl(1)*ct1
+
+ tt = sum(cls(linf:lsup,smwTT)*pl_vector(linf:lsup))
+ deallocate (pl_vector)
+
+ ncm_vector(j)=ncm_vector(j)+tt + ct0 + cz * ct1
enddo
+ !$omp end parallel do
-! QT
+ !DIR$ SIMD
+ do j=i,ntemp
+ NCM(j,i)=NCM(j,i) + ncm_vector(j)
+ enddo
+
+ deallocate (ncm_vector)
+
+ ! QT ========================================
+
+ !$omp section
+
+ allocate(ncm_vector(nq))
+ ncm_vector(:)=0
+
+ call omp_set_num_threads(omp_inner_loop_pl)
+
+ !$omp parallel do private(cz,tq,tu,jq,pl_vector) reduction(+:ncm_vector)
do j=1,nq
cz = sum(Qvec(:,j)*Tvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0*(1.d0 -cz*cz)
+ allocate(pl_vector(lsup))
+ pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0*(1.d0 -cz*cz)
+
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l-2)
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l-2)
enddo
- tq = -sum(cls(linf:lsup,smwTE)*plm(linf:lsup))
- tu = -sum(cls(linf:lsup,smwTB)*plm(linf:lsup))
+ tq = -sum(cls(linf:lsup,smwTE)*pl_vector(linf:lsup))
+ tu = -sum(cls(linf:lsup,smwTB)*pl_vector(linf:lsup))
+ deallocate (pl_vector)
jq = j +ntemp
- NCM(jq,i) = NCM(jq,i) +tq*cos1%column(i)%row(jq) +tu*sin1%column(i)%row(jq)
+ ncm_vector(j) = ncm_vector(j) + tq*cos1%column(i)%row(jq)+tu*sin1%column(i)%row(jq)
enddo
+ !$omp end parallel do
-!UT
+ !DIR$ SIMD
+ do j=1,nq
+ jq = j +ntemp
+ NCM(jq,i) = NCM(jq,i) + ncm_vector(j)
+ enddo
+
+ deallocate (ncm_vector)
+
+ ! UT ===============================================
+
+ !$omp section
+
+ allocate(ncm_vector(nu))
+ ncm_vector(:)=0
+
+ call omp_set_num_threads(omp_inner_loop_pl)
+
+ !$omp parallel do private(cz,tq,tu,ju,pl_vector) reduction(-:ncm_vector)
do j=1,nu
cz = sum(Uvec(:,j)*Tvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0*(1.d0 -cz*cz)
+ allocate(pl_vector(lsup))
+ pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0*(1.d0 -cz*cz)
+
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l-2)
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l-2)
enddo
- tq = -sum(cls(linf:lsup,smwTE)*plm(linf:lsup))
- tu = -sum(cls(linf:lsup,smwTB)*plm(linf:lsup))
+ tq = -sum(cls(linf:lsup,smwTE)*pl_vector(linf:lsup))
+ tu = -sum(cls(linf:lsup,smwTB)*pl_vector(linf:lsup))
+ deallocate (pl_vector)
ju = j +ntemp +nq
- NCM(ju,i) = NCM(ju,i) -tq*sin1%column(i)%row(ju) +tu*cos1%column(i)%row(ju)
+ ncm_vector(j) = ncm_vector(j) - tq*sin1%column(i)%row(ju)+tu*cos1%column(i)%row(ju)
enddo
+ !$omp end parallel do
- end do
+ !DIR$ SIMD
+ do j=1,nu
+ ju = j +ntemp +nq
+ NCM(ju,i) = NCM(ju,i) + ncm_vector(j)
+ enddo
+
+ deallocate (ncm_vector)
+
+ !$omp end parallel sections
+ end do ! i=1 .. ntemp
+
+ call omp_set_num_threads(omp_num_threads_bak)
+ call omp_set_nested(omp_nested_bak)
+
+
+ !$omp parallel do private(cz,pl_vector,f1_vector,f2_vector,qq,uu,qu,jq,iq,ju,c1c2,s1s2,c1s2,s1c2,j,l) shared(NCM)
do i = 1,nq
-!QQ
+
+ allocate(pl_vector(lsup)) !allocate memory - we don't want to use global vars shouldn't we change ntemp to lsup too??
+ allocate(f1_vector(lsup))
+ allocate(f2_vector(lsup))
+
+ !QQ
do j = i,nq
cz = sum(Qvec(:,j)*Qvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0
- f1(2) = 6.d0*(1d0+cz*cz)
- f2(2) = -12.d0*cz
+ pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0
+ f1_vector(2) = 6.d0*(1d0+cz*cz)
+ f2_vector(2) = -12.d0*cz
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
- f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l -2)
enddo
- qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
- uu = sum(cls(linf:lsup,smwBB)*f1(linf:lsup) -cls(linf:lsup,smwEE)*f2(linf:lsup))
- qu = sum((f1(linf:lsup) +f2(linf:lsup))*cls(linf:lsup,smwEB))
+ do l = 3,lsup
+ f1_vector(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*pl_vector(l)+ (2*l+4)*cz*pl_vector(l-1)
+ f2_vector(l) = 4.d0*(-(l-1)*cz*pl_vector(l) +(l+2)*pl_vector(l-1))
+ enddo
+ qq = sum(cls(linf:lsup,smwEE)*f1_vector(linf:lsup) -cls(linf:lsup,smwBB)*f2_vector(linf:lsup))
+ uu = sum(cls(linf:lsup,smwBB)*f1_vector(linf:lsup) -cls(linf:lsup,smwEE)*f2_vector(linf:lsup))
+ qu = sum((f1_vector(linf:lsup) +f2_vector(linf:lsup))*cls(linf:lsup,smwEB))
jq = j+ntemp
iq = i+ntemp
@@ -1436,28 +1603,30 @@
s1c2 = sin1%column(iq)%row(jq)*cos2%column(iq)%row(jq)
NCM(jq,iq) = NCM(jq,iq) +qq*c1c2 +uu*s1s2 +qu*(c1s2+s1c2)
+ !todo: just collect terms and do reduction later
end do
-!UQ
+ !UQ
do j=1,nu
cz = sum(Uvec(:,j)*Qvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0
- f1(2) = 6.d0*(1d0+cz*cz)
- f2(2) = -12.d0*cz
+ pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0
+ f1_vector(2) = 6.d0*(1d0+cz*cz)
+ f2_vector(2) = -12.d0*cz
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
- f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l -2)
+ enddo
+ do l = 3,lsup
+ f1_vector(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*pl_vector(l)+ (2*l+4)*cz*pl_vector(l-1)
+ f2_vector(l) = 4.d0*(-(l-1)*cz*pl_vector(l) +(l+2)*pl_vector(l-1))
enddo
- qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
- uu = sum(cls(linf:lsup,smwBB)*f1(linf:lsup) -cls(linf:lsup,smwEE)*f2(linf:lsup))
- qu = sum((f1(linf:lsup) +f2(linf:lsup))*cls(linf:lsup,smwEB))
+ qq = sum(cls(linf:lsup,smwEE)*f1_vector(linf:lsup) -cls(linf:lsup,smwBB)*f2_vector(linf:lsup))
+ uu = sum(cls(linf:lsup,smwBB)*f1_vector(linf:lsup) -cls(linf:lsup,smwEE)*f2_vector(linf:lsup))
+ qu = sum((f1_vector(linf:lsup) +f2_vector(linf:lsup))*cls(linf:lsup,smwEB))
ju = j+ntemp+nq
iq = i+ntemp
@@ -1468,26 +1637,51 @@
s1c2 = sin1%column(iq)%row(ju)*cos2%column(iq)%row(ju)
NCM(ju,iq) = NCM(ju,iq) -qq*s1c2 +uu*c1s2 +qu*(c1c2 -s1s2)
+ !todo: just collect terms and do reduction later
end do
- end do
+ deallocate (pl_vector)
+ deallocate (f1_vector)
+ deallocate (f2_vector)
+
+ end do ! i=1 .. nq
+ !$omp end parallel do
+
+ !$omp parallel do private(cz,pl_vector,f1_vector,f2_vector,qq,uu,qu,ju,iu,c1c2,s1s2,c1s2,s1c2,j,l) shared(NCM)
do i =1,nu
+
+ allocate(pl_vector(lsup))
+ allocate(f1_vector(lsup))
+ allocate(f2_vector(lsup))
!UU
+ !_omp parallel do private(cz,pl_vector,f1_vector,f2_vector,qq,uu,qu,ju,iu,c1c2,s1s2,c1s2,s1c2,j,l) shared(NCM)
do j=i,nu
+
+ !allocate(pl_vector(lsup))
+ !allocate(f1_vector(lsup))
+ !allocate(f2_vector(lsup))
+
cz = sum(Uvec(:,j)*Uvec(:,i))
- plm(1) = 0.d0
- plm(2) = 3.d0
- f1(2) = 6.d0*(1d0+cz*cz)
- f2(2) = -12.d0*cz
+ pl_vector(1) = 0.d0
+ pl_vector(2) = 3.d0
+ f1_vector(2) = 6.d0*(1d0+cz*cz)
+ f2_vector(2) = -12.d0*cz
do l = 3,lsup
- plm(l) =(cz*(2*l -1)*plm(l-1) -(l+1)*plm(l-2))/(l -2)
- f1(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*plm(l)+ &
- (2*l+4)*cz*plm(l-1)
- f2(l) = 4.d0*(-(l-1)*cz*plm(l) +(l+2)*plm(l-1))
+ pl_vector(l) =(cz*(2*l -1)*pl_vector(l-1) -(l+1)*pl_vector(l-2))/(l -2)
enddo
- qq = sum(cls(linf:lsup,smwEE)*f1(linf:lsup) -cls(linf:lsup,smwBB)*f2(linf:lsup))
- uu = sum(cls(linf:lsup,smwBB)*f1(linf:lsup) -cls(linf:lsup,smwEE)*f2(linf:lsup))
- qu = sum((f1(linf:lsup) +f2(linf:lsup))*cls(linf:lsup,smwEB))
+ do l = 3,lsup
+ f1_vector(l) =-(2*l-8 +l*(l-1)*(1.d0 -cz*cz))*pl_vector(l)+ (2*l+4)*cz*pl_vector(l-1)
+ f2_vector(l) = 4.d0*(-(l-1)*cz*pl_vector(l) +(l+2)*pl_vector(l-1))
+ enddo
+
+ !deallocate (pl_vector)
+
+ qq = sum(cls(linf:lsup,smwEE)*f1_vector(linf:lsup) -cls(linf:lsup,smwBB)*f2_vector(linf:lsup))
+ uu = sum(cls(linf:lsup,smwBB)*f1_vector(linf:lsup) -cls(linf:lsup,smwEE)*f2_vector(linf:lsup))
+ qu = sum((f1_vector(linf:lsup) +f2_vector(linf:lsup))*cls(linf:lsup,smwEB))
+
+ !deallocate (f1_vector)
+ !deallocate (f2_vector)
ju = j+ntemp+nq
@@ -1500,10 +1694,17 @@
NCM(ju,iu) = NCM(ju,iu) +qq*s1s2 +uu*c1c2 -qu*(c1s2 +s1c2)
end do
+
+ deallocate (pl_vector)
+ deallocate (f1_vector)
+ deallocate (f2_vector)
+
end do
+ !$omp end parallel do
end subroutine update_ncvm
+ !DEC$ ATTRIBUTES INLINE :: get_rotation_angle
pure subroutine get_rotation_angle(r1,r2,a12,a21)
!computes TWICE the rotation angle
@@ -1518,7 +1719,12 @@
real(dp) ,dimension(3) :: r12,r1star,r2star
real(dp) :: mod
- call ext_prod(r1,r2,r12)
+ !call ext_prod(r1,r2,r12)
+
+ r12(1) = r1(2)*r2(3) - r1(3)*r2(2)
+ r12(2) = r1(3)*r2(1) - r1(1)*r2(3)
+ r12(3) = r1(1)*r2(2) - r1(2)*r2(1)
+
mod = sqrt(sum(r12*r12))
if(mod.lt.1.d-8) then !same or opposite pixels
a12 = 0.d0
@@ -1528,7 +1734,13 @@
end if
r12 = r12/mod
- call ext_prod(zz,r1,r1star)
+ !call ext_prod(zz,r1,r1star)
+
+ r1star(1) = zz(2)*r1(3) - zz(3)*r1(2)
+ r1star(2) = zz(3)*r1(1) - zz(1)*r1(3)
+ !r1star(3) = zz(1)*r1(2) - zz(2)*r1(1) ! not used..
+
+
r1star(3) = 0.d0
mod = sqrt(sum(r1star*r1star))
if(mod.lt.1.d-8) then !r1 is at a pole
@@ -1537,7 +1749,13 @@
end if
r1star = r1star/mod
- call ext_prod(zz,r2,r2star)
+ !call ext_prod(zz,r2,r2star)
+
+ r2star(1) = zz(2)*r2(3) - zz(3)*r2(2)
+ r2star(2) = zz(3)*r2(1) - zz(1)*r2(3)
+ !r2star(3) = zz(1)*r2(2) - zz(2)*r2(1) ! not used..
+
+
r2star(3) = 0.d0
mod = sqrt(sum(r2star*r2star))
if(mod.lt.1.d-8) then !r2 is at a pole