diff --git a/QMCChem_dataset_test.f90 b/QMCChem_dataset_test.f90 index 24745f8..33e258e 100644 --- a/QMCChem_dataset_test.f90 +++ b/QMCChem_dataset_test.f90 @@ -3,7 +3,7 @@ program QMCChem_dataset_test use, intrinsic :: iso_c_binding, only : c_int, c_double implicit none - integer :: i, j !! Iterators + integer :: i, j, col !! Iterators integer :: cycle_id, dim, n_updates integer(c_int), dimension(:), allocatable :: Updates_index real(c_double), dimension(:,:), allocatable :: S, S_inv, Updates @@ -39,10 +39,49 @@ program QMCChem_dataset_test close(1000) !! End of reading the dataset from file - !! Send S, S_inv and Updates to MaponiA3 algo - ! + !! Write current S and S_inv to file for check in Octave + open(unit = 2000, file = "Slater_old.dat") + open(unit = 3000, file = "Slater_inv_old.dat") + do i=1,dim + do j=1,dim + write(2000,"(E23.15, 1X)", advance="no") S(i,j) + write(3000,"(E23.15, 1X)", advance="no") S_inv(i,j) + end do + write(2000,*) + write(3000,*) + end do + call flush(2000) + call flush(3000) + close(2000) + close(3000) - !! Test if computed S_inv is indeed the inverse of S + !! Send S, S_inv and Updates to MaponiA3 algo + call MaponiA3(S, S_inv, dim, n_updates, Updates, Updates_index) + + !! Update S itself + do j=1,n_updates + do i=1,dim + col = Updates_index(j) + S(i,col) = S(i,col) + Updates(i,col) + end do + end do + + !! Write new S and S_inv to file for check in Octave + open(unit = 2000, file = "Slater_new.dat") + open(unit = 3000, file = "Slater_inv_new.dat") + do i=1,dim + do j=1,dim + write(2000,"(E23.15, 1X)", advance="no") S(i,j) + write(3000,"(E23.15, 1X)", advance="no") S_inv(i,j) + end do + write(2000,*) + write(3000,*) + end do + call flush(2000) + call flush(3000) + + close(2000) + close(3000) deallocate(S, S_inv, Updates, Updates_index) end program diff --git a/SM_MaponiA3.cpp b/SM_MaponiA3.cpp index 9ffcc3a..f24a831 100644 --- a/SM_MaponiA3.cpp +++ b/SM_MaponiA3.cpp @@ -28,7 +28,7 @@ void MaponiA3(double *Slater0, double *Slater_inv, unsigned int M, } // Calculate all the y0k in M^2 multiplications instead of M^3 - for (k = 1; k < M + 1; k++) { + for (k = 1; k < N_updates + 1; k++) { for (i = 1; i < M + 1; i++) { ylk[0][k][i] = Slater_inv[(i - 1) * M + (i - 1)] * Updates[(i - 1) * M + (k - 1)]; diff --git a/det.irp.f b/det.irp.f new file mode 100644 index 0000000..10a0968 --- /dev/null +++ b/det.irp.f @@ -0,0 +1,1966 @@ +BEGIN_PROVIDER [ integer, det_i ] + + BEGIN_DOC + ! Current running alpha determinant + END_DOC + det_i=det_alpha_order(1) + +END_PROVIDER + +BEGIN_PROVIDER [ integer, det_j ] + + BEGIN_DOC + ! Current running beta determinant + END_DOC + det_j=det_beta_order(1) + +END_PROVIDER + +subroutine det_update(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(LDS) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + if (d == 0.d0) then + return + endif + select case (n) + case default + call det_update_general(n,LDS,m,l,S,S_inv,d) + BEGIN_TEMPLATE + case ($n) + call det_update$n(n,LDS,m,l,S,S_inv,d) + SUBST [n] + 1;; + 2;; + 3;; + 4;; + 5;; + 6;; + 7;; + 8;; + 9;; + 10;; + 11;; + 12;; + 13;; + 14;; + 15;; + 16;; + 17;; + 18;; + 19;; + 20;; + 21;; + 22;; + 23;; + 24;; + 25;; + 26;; + 27;; + 28;; + 29;; + 30;; + 31;; + 32;; + 33;; + 34;; + 35;; + 36;; + 37;; + 38;; + 39;; + 40;; + 41;; + 42;; + 43;; + 44;; + 45;; + 46;; + 47;; + 48;; + 49;; + 50;; + 51;; + 52;; + 53;; + 54;; + 55;; + 56;; + 57;; + 58;; + 59;; + 60;; + 61;; + 62;; + 63;; + 64;; + 65;; + 66;; + 67;; + 68;; + 69;; + 70;; + 71;; + 72;; + 73;; + 74;; + 75;; + 76;; + 77;; + 78;; + 79;; + 80;; + 81;; + 82;; + 83;; + 84;; + 85;; + 86;; + 87;; + 88;; + 89;; + 90;; + 91;; + 92;; + 93;; + 94;; + 95;; + 96;; + 97;; + 98;; + 99;; + 100;; + 101;; + 102;; + 103;; + 104;; + 105;; + 106;; + 107;; + 108;; + 109;; + 110;; + 111;; + 112;; + 113;; + 114;; + 115;; + 116;; + 117;; + 118;; + 119;; + 120;; + 121;; + 122;; + 123;; + 124;; + 125;; + 126;; + 127;; + 128;; + 129;; + 130;; + 131;; + 132;; + 133;; + 134;; + 135;; + 136;; + 137;; + 138;; + 139;; + 140;; + 141;; + 142;; + 143;; + 144;; + 145;; + 146;; + 147;; + 148;; + 149;; + 150;; + END_TEMPLATE + end select +end + +subroutine det_update2(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(2) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,2) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,2) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + S(1,l) = m(1) + S(2,l) = m(2) + S_inv(1,1) = S(1,1) + S_inv(1,2) = S(2,1) + S_inv(2,1) = S(1,2) + S_inv(2,2) = S(2,2) + call invert2(S_inv,LDS,n,d) + +end + +subroutine det_update1(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(1) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,1) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,1) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + S(1,l) = m(1) + S_inv(1,1) = S(1,1) + call invert1(S_inv,LDS,n,d) + +end + +subroutine det_update3(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(3) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,3) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,3) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + integer :: i + do i=1,3 + S(i,l) = m(i) + enddo + do i=1,3 + S_inv(1,i) = S(i,1) + S_inv(2,i) = S(i,2) + S_inv(3,i) = S(i,3) + enddo + + call invert3(S_inv,LDS,n,d) + +end + +subroutine det_update4(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(4) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,4) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,4) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: u(4), z(4), w(4), lambda, d_inv + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + integer :: i,j + u(1) = m(1) - S(1,l) + u(2) = m(2) - S(2,l) + u(3) = m(3) - S(3,l) + u(4) = m(4) - S(4,l) + z(1) = S_inv(1,1)*u(1) + S_inv(2,1)*u(2) + S_inv(3,1)*u(3) + S_inv(4,1)*u(4) + z(2) = S_inv(1,2)*u(1) + S_inv(2,2)*u(2) + S_inv(3,2)*u(3) + S_inv(4,2)*u(4) + z(3) = S_inv(1,3)*u(1) + S_inv(2,3)*u(2) + S_inv(3,3)*u(3) + S_inv(4,3)*u(4) + z(4) = S_inv(1,4)*u(1) + S_inv(2,4)*u(2) + S_inv(3,4)*u(3) + S_inv(4,4)*u(4) + + d_inv = 1.d0/d + d = d+z(l) + lambda = d_inv*d + if (dabs(lambda) < 1.d-3) then + d = 0.d0 + return + endif + + !DIR$ VECTOR ALIGNED + do i=1,4 + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,4 + !DIR$ VECTOR ALIGNED + do j=1,4 + S_inv(j,i) = S_inv(j,i)*lambda -z(i)*w(j) + enddo + enddo + +end + +BEGIN_TEMPLATE +! Version for mod(n,4) = 0 +subroutine det_update$n(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m($n) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,$n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,$n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: u($n), z($n), w($n), lambda, d_inv + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + !DIR$ ASSUME_ALIGNED S : $IRP_ALIGN + !DIR$ ASSUME_ALIGNED S_inv : $IRP_ALIGN + !DIR$ ASSUME (mod(LDS,$IRP_ALIGN/8) == 0) + !DIR$ ASSUME (LDS >= $n) + integer :: i,j + double precision :: zj, zj1, zj2, zj3 + + !DIR$ NOPREFETCH + !DIR$ SIMD NOVECREMAINDER + do i=1,$n + u(i) = m(i) - S(i,l) + enddo + + zj = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) NOVECREMAINDER + do i=1,$n-1,4 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) & + + S_inv(i+2,l)*u(i+2) + S_inv(i+3,l)*u(i+3) + enddo + + d_inv = 1.d0/d + d = d+zj + lambda = d*d_inv + if (dabs(lambda) < 1.d-3) then + d = 0.d0 + return + endif + + !DIR$ VECTOR ALIGNED + do j=1,$n,4 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + zj3 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2,zj3) NOVECREMAINDER + do i=1,$n + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + zj3 = zj3 + S_inv(i,j+3)*u(i) + enddo + z(j ) = zj + z(j+1) = zj1 + z(j+2) = zj2 + z(j+3) = zj3 + enddo + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) NOVECREMAINDER + do i=1,$n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,$n,4 + zj = z(i ) + zj1 = z(i+1) + zj2 = z(i+2) + zj3 = z(i+3) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2,zj3) NOVECREMAINDER + do j=1,$n + S_inv(j,i ) = S_inv(j,i )*lambda - w(j)*zj + S_inv(j,i+1) = S_inv(j,i+1)*lambda - w(j)*zj1 + S_inv(j,i+2) = S_inv(j,i+2)*lambda - w(j)*zj2 + S_inv(j,i+3) = S_inv(j,i+3)*lambda - w(j)*zj3 + enddo + enddo + +end + +SUBST [ n ] +8 ;; +12 ;; +16 ;; +20 ;; +24 ;; +28 ;; +32 ;; +36 ;; +40 ;; +44 ;; +48 ;; +52 ;; +56 ;; +60 ;; +64 ;; +68 ;; +72 ;; +76 ;; +80 ;; +84 ;; +88 ;; +92 ;; +96 ;; +100 ;; +104 ;; +108 ;; +112 ;; +116 ;; +120 ;; +124 ;; +128 ;; +132 ;; +136 ;; +140 ;; +144 ;; +148 ;; + +END_TEMPLATE + +BEGIN_TEMPLATE +! Version for mod(n,4) = 1 +subroutine det_update$n(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m($n) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,$n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,$n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: u($n), z($n), w($n), lambda, d_inv + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + !DIR$ ASSUME_ALIGNED S : $IRP_ALIGN + !DIR$ ASSUME_ALIGNED S_inv : $IRP_ALIGN + !DIR$ ASSUME (mod(LDS,$IRP_ALIGN/8) == 0) + !DIR$ ASSUME (LDS >= $n) + integer :: i,j + double precision :: zj, zj1, zj2, zj3 + + do i=1,$n + u(i) = m(i) - S(i,l) + enddo + + zj = 0.d0 + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) + do i=1,$n-1,4 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) & + + S_inv(i+2,l)*u(i+2) + S_inv(i+3,l)*u(i+3) + enddo + zj = zj + S_inv($n,l)*u($n) + + d_inv = 1.d0/d + d = d+zj + lambda = d*d_inv + if (dabs(lambda) < 1.d-6) then + d = 0.d0 + write(502,"('#BREAKDOWN_OCCURED')") + return + end if + + !DIR$ VECTOR ALIGNED + do j=1,$n-1,4 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + zj3 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2,zj3) NOVECREMAINDER + do i=1,$n-1 + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + zj3 = zj3 + S_inv(i,j+3)*u(i) + enddo + z(j ) = zj + S_inv($n,j )*u($n) + z(j+1) = zj1 + S_inv($n,j+1)*u($n) + z(j+2) = zj2 + S_inv($n,j+2)*u($n) + z(j+3) = zj3 + S_inv($n,j+3)*u($n) + enddo + + zj = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) NOVECREMAINDER + do i=1,$n-1 + zj = zj + S_inv(i,$n)*u(i) + enddo + z($n) = zj + S_inv($n,$n)*u($n) + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) NOVECREMAINDER + do i=1,$n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,$n-1,4 + zj = z(i ) + zj1 = z(i+1) + zj2 = z(i+2) + zj3 = z(i+3) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2,zj3) NOVECREMAINDER + do j=1,$n-1 + S_inv(j,i ) = S_inv(j,i )*lambda - w(j)*zj + S_inv(j,i+1) = S_inv(j,i+1)*lambda - w(j)*zj1 + S_inv(j,i+2) = S_inv(j,i+2)*lambda - w(j)*zj2 + S_inv(j,i+3) = S_inv(j,i+3)*lambda - w(j)*zj3 + enddo + S_inv($n,i ) = S_inv($n,i )*lambda - w($n)*zj + S_inv($n,i+1) = S_inv($n,i+1)*lambda - w($n)*zj1 + S_inv($n,i+2) = S_inv($n,i+2)*lambda - w($n)*zj2 + S_inv($n,i+3) = S_inv($n,i+3)*lambda - w($n)*zj3 + enddo + + zj = z($n) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj) NOVECREMAINDER + do i=1,$n + S_inv(i,$n) = S_inv(i,$n)*lambda -w(i)*zj + enddo + + +end + +SUBST [ n ] +5 ;; +9 ;; +13 ;; +17 ;; +21 ;; +25 ;; +29 ;; +33 ;; +37 ;; +41 ;; +45 ;; +49 ;; +53 ;; +57 ;; +61 ;; +65 ;; +69 ;; +73 ;; +77 ;; +81 ;; +85 ;; +89 ;; +93 ;; +97 ;; +101 ;; +105 ;; +109 ;; +113 ;; +117 ;; +121 ;; +125 ;; +129 ;; +133 ;; +137 ;; +141 ;; +145 ;; +149 ;; + +END_TEMPLATE + + +BEGIN_TEMPLATE +! Version for mod(n,4) = 2 +subroutine det_update$n(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m($n) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,$n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,$n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: u($n), z($n), w($n), lambda, d_inv + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + !DIR$ ASSUME_ALIGNED S : $IRP_ALIGN + !DIR$ ASSUME_ALIGNED S_inv : $IRP_ALIGN + !DIR$ ASSUME (mod(LDS,$IRP_ALIGN/8) == 0) + !DIR$ ASSUME (LDS >= $n) + integer :: i,j + + double precision :: zj, zj1, zj2, zj3 + !DIR$ NOPREFETCH + !DIR$ SIMD NOVECREMAINDER + do i=1,$n + u(i) = m(i) - S(i,l) + enddo + + zj = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) NOVECREMAINDER + do i=1,$n-2,4 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) & + + S_inv(i+2,l)*u(i+2) + S_inv(i+3,l)*u(i+3) + enddo + i=$n-1 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) + + d_inv = 1.d0/d + d = d+zj + lambda = d*d_inv + if (dabs(lambda) < 1.d-3) then + d = 0.d0 + return + endif + + !DIR$ VECTOR ALIGNED + do j=1,$n-2,4 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + zj3 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2,zj3) NOVECREMAINDER + do i=1,$n-2 + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + zj3 = zj3 + S_inv(i,j+3)*u(i) + enddo + z(j ) = zj + S_inv($n-1,j )*u($n-1) + z(j ) = z(j ) + S_inv($n,j )*u($n) + z(j+1) = zj1 + S_inv($n-1,j+1)*u($n-1) + z(j+1) = z(j+1) + S_inv($n,j+1)*u($n) + z(j+2) = zj2 + S_inv($n-1,j+2)*u($n-1) + z(j+2) = z(j+2) + S_inv($n,j+2)*u($n) + z(j+3) = zj3 + S_inv($n-1,j+3)*u($n-1) + z(j+3) = z(j+3) + S_inv($n,j+3)*u($n) + enddo + + j=$n-1 + zj = 0.d0 + zj1 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj,zj1) NOVECREMAINDER + do i=1,$n-2 + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + enddo + z(j ) = zj + S_inv($n-1,j )*u($n-1) + z(j ) = z(j ) + S_inv($n,j )*u($n) + z(j+1) = zj1 + S_inv($n-1,j+1)*u($n-1) + z(j+1) = z(j+1) + S_inv($n,j+1)*u($n) + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) NOVECREMAINDER + do i=1,$n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,$n-2,4 + zj = z(i) + zj1 = z(i+1) + zj2 = z(i+2) + zj3 = z(i+3) + !DIR$ VECTOR ALIGNED + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2,zj3) NOVECREMAINDER + do j=1,$n-2 + S_inv(j,i ) = S_inv(j,i )*lambda -zj *w(j) + S_inv(j,i+1) = S_inv(j,i+1)*lambda -zj1*w(j) + S_inv(j,i+2) = S_inv(j,i+2)*lambda -zj2*w(j) + S_inv(j,i+3) = S_inv(j,i+3)*lambda -zj3*w(j) + enddo + S_inv($n-1,i ) = S_inv($n-1,i )*lambda -zj *w($n-1) + S_inv($n ,i ) = S_inv($n ,i )*lambda -zj *w($n ) + S_inv($n-1,i+1) = S_inv($n-1,i+1)*lambda -zj1*w($n-1) + S_inv($n ,i+1) = S_inv($n ,i+1)*lambda -zj1*w($n ) + S_inv($n-1,i+2) = S_inv($n-1,i+2)*lambda -zj2*w($n-1) + S_inv($n ,i+2) = S_inv($n ,i+2)*lambda -zj2*w($n ) + S_inv($n-1,i+3) = S_inv($n-1,i+3)*lambda -zj3*w($n-1) + S_inv($n ,i+3) = S_inv($n ,i+3)*lambda -zj3*w($n ) + enddo + + i=$n-1 + zj = z(i) + zj1= z(i+1) + !DIR$ VECTOR ALIGNED + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1) + do j=1,$n-2 + S_inv(j,i ) = S_inv(j,i )*lambda -zj*w(j) + S_inv(j,i+1) = S_inv(j,i+1)*lambda -zj1*w(j) + enddo + S_inv($n-1,i ) = S_inv($n-1,i )*lambda -zj*w($n-1) + S_inv($n-1,i+1) = S_inv($n-1,i+1)*lambda -zj1*w($n-1) + S_inv($n ,i ) = S_inv($n ,i )*lambda -zj*w($n ) + S_inv($n ,i+1) = S_inv($n ,i+1)*lambda -zj1*w($n ) + +end + +SUBST [ n ] +6 ;; +10 ;; +14 ;; +18 ;; +22 ;; +26 ;; +30 ;; +34 ;; +38 ;; +42 ;; +46 ;; +50 ;; +54 ;; +58 ;; +62 ;; +66 ;; +70 ;; +74 ;; +78 ;; +82 ;; +86 ;; +90 ;; +94 ;; +98 ;; +102 ;; +106 ;; +110 ;; +114 ;; +118 ;; +122 ;; +126 ;; +130 ;; +134 ;; +138 ;; +142 ;; +146 ;; +150 ;; + +END_TEMPLATE + +BEGIN_TEMPLATE +! Version for mod(n,4) = 3 +subroutine det_update$n(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m($n) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,$n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,$n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: u($n), z($n), w($n), lambda, d_inv + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + !DIR$ ASSUME_ALIGNED S : $IRP_ALIGN + !DIR$ ASSUME_ALIGNED S_inv : $IRP_ALIGN + !DIR$ ASSUME (mod(LDS,$IRP_ALIGN/8) == 0) + !DIR$ ASSUME (LDS >= $n) + integer :: i,j + + double precision :: zj, zj1, zj2, zj3 + + !DIR$ SIMD + do i=1,$n + u(i) = m(i) - S(i,l) + enddo + + zj = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) NOVECREMAINDER + do i=1,$n-3,4 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) & + + S_inv(i+2,l)*u(i+2) + S_inv(i+3,l)*u(i+3) + enddo + i=$n-2 + zj = zj + S_inv(i,l)*u(i) + S_inv(i+1,l)*u(i+1) + S_inv(i+2,l)*u(i+2) + + + d_inv = 1.d0/d + d = d+zj + lambda = d*d_inv + if (dabs(lambda) < 1.d-3) then + d = 0.d0 + return + endif + + !DIR$ VECTOR ALIGNED + do j=1,$n-3,4 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + zj3 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2,zj3) + do i=1,$n-3 + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + zj3 = zj3 + S_inv(i,j+3)*u(i) + enddo + z(j ) = zj + S_inv($n-2,j )*u($n-2) + z(j ) = z(j ) + S_inv($n-1,j )*u($n-1) + z(j ) = z(j ) + S_inv($n,j )*u($n) + z(j+1) = zj1 + S_inv($n-2,j+1)*u($n-2) + z(j+1) = z(j+1) + S_inv($n-1,j+1)*u($n-1) + z(j+1) = z(j+1) + S_inv($n,j+1)*u($n) + z(j+2) = zj2 + S_inv($n-2,j+2)*u($n-2) + z(j+2) = z(j+2) + S_inv($n-1,j+2)*u($n-1) + z(j+2) = z(j+2) + S_inv($n,j+2)*u($n) + z(j+3) = zj3 + S_inv($n-2,j+3)*u($n-2) + z(j+3) = z(j+3) + S_inv($n-1,j+3)*u($n-1) + z(j+3) = z(j+3) + S_inv($n,j+3)*u($n) + enddo + + j=$n-2 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2) + do i=1,$n-3 + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + enddo + z(j ) = zj + S_inv($n-2,j )*u($n-2) + z(j ) = z(j ) + S_inv($n-1,j )*u($n-1) + z(j ) = z(j ) + S_inv($n,j )*u($n) + z(j+1) = zj1 + S_inv($n-2,j+1)*u($n-2) + z(j+1) = z(j+1) + S_inv($n-1,j+1)*u($n-1) + z(j+1) = z(j+1) + S_inv($n,j+1)*u($n) + z(j+2) = zj2 + S_inv($n-2,j+2)*u($n-2) + z(j+2) = z(j+2) + S_inv($n-1,j+2)*u($n-1) + z(j+2) = z(j+2) + S_inv($n,j+2)*u($n) + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) + do i=1,$n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,$n-3,4 + zj = z(i) + zj1 = z(i+1) + zj2 = z(i+2) + zj3 = z(i+3) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2,zj3) + do j=1,$n-3 + S_inv(j,i ) = S_inv(j,i )*lambda - w(j)*zj + S_inv(j,i+1) = S_inv(j,i+1)*lambda - w(j)*zj1 + S_inv(j,i+2) = S_inv(j,i+2)*lambda - w(j)*zj2 + S_inv(j,i+3) = S_inv(j,i+3)*lambda - w(j)*zj3 + enddo + S_inv($n-2,i ) = S_inv($n-2,i )*lambda -zj *w($n-2) + S_inv($n-1,i ) = S_inv($n-1,i )*lambda -zj *w($n-1) + S_inv($n ,i ) = S_inv($n ,i )*lambda -zj *w($n ) + S_inv($n-2,i+1) = S_inv($n-2,i+1)*lambda -zj1*w($n-2) + S_inv($n-1,i+1) = S_inv($n-1,i+1)*lambda -zj1*w($n-1) + S_inv($n ,i+1) = S_inv($n ,i+1)*lambda -zj1*w($n ) + S_inv($n-2,i+2) = S_inv($n-2,i+2)*lambda -zj2*w($n-2) + S_inv($n-1,i+2) = S_inv($n-1,i+2)*lambda -zj2*w($n-1) + S_inv($n ,i+2) = S_inv($n ,i+2)*lambda -zj2*w($n ) + S_inv($n-2,i+3) = S_inv($n-2,i+3)*lambda -zj3*w($n-2) + S_inv($n-1,i+3) = S_inv($n-1,i+3)*lambda -zj3*w($n-1) + S_inv($n ,i+3) = S_inv($n ,i+3)*lambda -zj3*w($n ) + enddo + + i=$n-2 + zj = z(i) + zj1 = z(i+1) + zj2 = z(i+2) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2) + do j=1,$n + S_inv(j,i ) = S_inv(j,i )*lambda - w(j)*zj + S_inv(j,i+1) = S_inv(j,i+1)*lambda - w(j)*zj1 + S_inv(j,i+2) = S_inv(j,i+2)*lambda - w(j)*zj2 + enddo + + +end + +SUBST [ n ] +7 ;; +11 ;; +15 ;; +19 ;; +23 ;; +27 ;; +31 ;; +35 ;; +39 ;; +43 ;; +47 ;; +51 ;; +55 ;; +59 ;; +63 ;; +67 ;; +71 ;; +75 ;; +79 ;; +83 ;; +87 ;; +91 ;; +95 ;; +99 ;; +103 ;; +107 ;; +111 ;; +115 ;; +119 ;; +123 ;; +127 ;; +131 ;; +135 ;; +139 ;; +143 ;; +147 ;; + +END_TEMPLATE + + + +subroutine det_update_general(n,LDS,m,l,S,S_inv,d) + implicit none + + integer, intent(in) :: n,LDS ! Dimension of the vector + real, intent(in) :: m(LDS) ! New vector + integer, intent(in) :: l ! New position in S + + real,intent(inout) :: S(LDS,n) ! Slater matrix + double precision,intent(inout) :: S_inv(LDS,n) ! Inverse Slater matrix + double precision,intent(inout) :: d ! Det(S) + + double precision :: lambda, d_inv + double precision :: u(3840), z(3840), w(3840) + !DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: z, w, u + !DIR$ ASSUME_ALIGNED S : $IRP_ALIGN + !DIR$ ASSUME_ALIGNED S_inv : $IRP_ALIGN + !DIR$ ASSUME (LDS >= n) + !DIR$ ASSUME (LDS <= 3840) + !DIR$ ASSUME (MOD(LDS,$IRP_ALIGN/8) == 0) + !DIR$ ASSUME (n>150) + + integer :: i,j,n4 + double precision :: zl + + !DIR$ NOPREFETCH + do i=1,n + u(i) = m(i) - S(i,l) + enddo + + zl = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zl) + do i=1,n + zl = zl + S_inv(i,l)*u(i) + enddo + + d_inv = 1.d0/d + d = d+zl + lambda = d*d_inv + + if ( dabs(lambda) < 1.d-3 ) then + d = 0.d0 + endif + + double precision :: zj, zj1, zj2, zj3 + + n4 = iand(n,not(3)) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + do j=1,n4,4 + zj = 0.d0 + zj1 = 0.d0 + zj2 = 0.d0 + zj3 = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj,zj1,zj2,zj3) + do i=1,n + zj = zj + S_inv(i,j )*u(i) + zj1 = zj1 + S_inv(i,j+1)*u(i) + zj2 = zj2 + S_inv(i,j+2)*u(i) + zj3 = zj3 + S_inv(i,j+3)*u(i) + enddo + z(j ) = zj + z(j+1) = zj1 + z(j+2) = zj2 + z(j+3) = zj3 + enddo + + do j=n4+1,n + zj = 0.d0 + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD REDUCTION(+:zj) + do i=1,n + zj = zj + S_inv(i,j)*u(i) + enddo + z(j ) = zj + enddo + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) + do i=1,n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(d_inv) + do i=1,n + w(i) = S_inv(i,l)*d_inv + S(i,l) = m(i) + enddo + + do i=1,n4,4 + zj = z(i) + zj1 = z(i+1) + zj2 = z(i+2) + zj3 = z(i+3) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj,zj1,zj2,zj3) + do j=1,n + S_inv(j,i ) = S_inv(j,i )*lambda -zj *w(j) + S_inv(j,i+1) = S_inv(j,i+1)*lambda -zj1*w(j) + S_inv(j,i+2) = S_inv(j,i+2)*lambda -zj2*w(j) + S_inv(j,i+3) = S_inv(j,i+3)*lambda -zj3*w(j) + enddo + enddo + + do i=n4+1,n + zj = z(i) + !DIR$ VECTOR ALIGNED + !DIR$ NOPREFETCH + !DIR$ SIMD FIRSTPRIVATE(lambda,zj) + do j=1,n + S_inv(j,i) = S_inv(j,i)*lambda -zj*w(j) + enddo + enddo + +end + + + +subroutine bitstring_to_list( string, list, n_elements, Nint) + implicit none + BEGIN_DOC + ! Gives the inidices(+1) of the bits set to 1 in the bit string + END_DOC + integer, intent(in) :: Nint + integer*8, intent(in) :: string(Nint) + integer, intent(out) :: list(Nint*64) + integer, intent(out) :: n_elements + + integer :: i, ishift + integer*8 :: l + + n_elements = 0 + ishift = 2 + do i=1,Nint + l = string(i) + do while (l /= 0_8) + n_elements = n_elements+1 + list(n_elements) = ishift+popcnt(l-1_8) - popcnt(l) + l = iand(l,l-1_8) + enddo + ishift = ishift + 64 + enddo +end + + BEGIN_PROVIDER [ integer, mo_list_alpha_curr, (elec_alpha_num) ] +&BEGIN_PROVIDER [ integer, mo_list_alpha_prev, (elec_alpha_num) ] + implicit none + BEGIN_DOC + ! List of MOs in the current alpha determinant + END_DOC + integer :: l + if (det_i /= det_alpha_order(1)) then + mo_list_alpha_prev = mo_list_alpha_curr + else + mo_list_alpha_prev = 0 + endif + !DIR$ FORCEINLINE + call bitstring_to_list ( psi_det_alpha(1,det_i), mo_list_alpha_curr, l, N_int ) + if (l /= elec_alpha_num) then + stop 'error in number of alpha electrons' + endif + +END_PROVIDER + + BEGIN_PROVIDER [ integer, mo_list_beta_curr, (elec_beta_num) ] +&BEGIN_PROVIDER [ integer, mo_list_beta_prev, (elec_beta_num) ] + implicit none + BEGIN_DOC + ! List of MOs in the current beta determinant + END_DOC + integer :: l + if (elec_beta_num == 0) then + return + endif + if (det_j /= det_beta_order(1)) then + mo_list_beta_prev = mo_list_beta_curr + else + mo_list_beta_prev = 0 + endif + + !DIR$ FORCEINLINE + call bitstring_to_list ( psi_det_beta(1,det_j), mo_list_beta_curr, l, N_int ) + if (l /= elec_beta_num) then + stop 'error in number of beta electrons' + endif +END_PROVIDER + + BEGIN_PROVIDER [ double precision, det_alpha_value_curr ] +&BEGIN_PROVIDER [ real, slater_matrix_alpha, (elec_alpha_num_8,elec_alpha_num) ] +&BEGIN_PROVIDER [ double precision, slater_matrix_alpha_inv_det, (elec_alpha_num_8,elec_alpha_num) ] + + implicit none + + BEGIN_DOC + ! det_alpha_value_curr : Value of the current alpha determinant + ! + ! slater_matrix_alpha : Slater matrix for the current alpha determinant. + ! 1st index runs over electrons and + ! 2nd index runs over MOs. + ! Built with 1st determinant + ! + ! slater_matrix_alpha_inv_det: Inverse of the alpha Slater matrix * determinant + END_DOC + + double precision :: ddet + integer :: i,j,k,imo,l + integer :: to_do(elec_alpha_num), n_to_do_old, n_to_do + integer, save :: ifirst + integer, save :: cycle_id=0 + + !! Some usefull formats for output + 10001 format ('#START_PACKET') + 10008 format ('#CYCLE_ID: ', I4) + 10000 format ('#SLATER_MATRIX_DIM: ', I3) + 10002 format ('#NUPDATES: ', I2) + 10003 format ('#SLATER_MATRIX: (i (outer), j (inner)), slater_matrix_alpha(i,j), ddet * slater_matrix_alpha_inv_det(i,j) / ddet') + 10004 format ('(',I0.2,',',I0.2,')',2(2X,E23.15)) + 10005 format ('#COL_UPDATE_INDEX: ', I2) + 10006 format ('#COL_UPDATE_COMP_(',I0.2,'): ', E23.15) + 10007 format ('#END_PACKET',/) + + open (unit = 501, file = "dataset.dat") !! slightly cleaner output + open (unit = 502, file = "dataset.fulltrace.dat") + + if (ifirst == 0) then !! If this is the first time we enter this subroutine + ifirst = 1 + !DIR$ VECTOR ALIGNED + slater_matrix_alpha = 0. + !DIR$ VECTOR ALIGNED + slater_matrix_alpha_inv_det = 0.d0 + endif + + PROVIDE mo_value + if (det_i /= det_alpha_order(1) ) then + ! write(*,*) "det_i: ", det_i +! if (det_i == -1 ) then + + !! determin number of updates, the updates and + n_to_do = 0 + do k=1,elec_alpha_num + imo = mo_list_alpha_curr(k) + if ( imo /= mo_list_alpha_prev(k) ) then + n_to_do += 1 + to_do(n_to_do) = k + endif + enddo + + !! Write number of alpha electrons, number of updates to do, slater and slater_inv to file unit 10000 + write(501,10001) + write(501,10008) cycle_id + write(501,10000) elec_alpha_num + write(501,10002) n_to_do + write(501,10003) + do i=1,elec_alpha_num + do j=1,elec_alpha_num + write(501,10004) i, j, slater_matrix_alpha(i,j), slater_matrix_alpha_inv_det(i,j) / det_alpha_value_curr + end do + end do + + !! write all the updates to file unit 10000 + do l=1,n_to_do + k = to_do(l) + imo = mo_list_alpha_curr(k) + write(501,10005) k + do i=1,elec_alpha_num + write(501,10006) i, mo_value(i, imo) + end do + end do + +! print n_to_do (number of updates to do) +! to_do (array of the columns that need to be swapped) +! mo_list_alpha_curr (list of orbitals to build the current determinant) +! mo_list_alpha_prev (list of the previous determinant) +! +! slater_matrix_alpha (slater matrix that needs to be inverted. This is the initial matrix) +! slater_matrix_alpha_inv_det = inverse of the slater matrix divided by the determinant (ddet: l. 1216) +! +! +! +! 1 2 3 4 +! -------- +! 2 4 6 8 +! 2 4 10 8 +! +! mo_list(:) (2,4,10,8) +! mo_list_prev(:) (2,4,6,8) +! n_todo 1 +! to_do (3) +! +! +! 1 2 3 4 +! -------- +! 2 4 6 8 +! 2 5 10 8 +! +! mo_list(:) (2,5,10,8) +! mo_list_prev(:) (2,4,6,8) +! n_todo 2 +! to_do (2,3) + + + ddet = 0.d0 + + if (n_to_do < shiftl(elec_alpha_num,1)) then + + write(502,10001) + write(502,10008) cycle_id + write(502,10000) elec_alpha_num + write(502,10002) n_to_do + + do while ( n_to_do > 0 ) + ddet = det_alpha_value_curr + n_to_do_old = n_to_do + n_to_do = 0 + do l=1,n_to_do_old + k = to_do(l) + imo = mo_list_alpha_curr(k) + + write(502,10003) + do i=1,elec_alpha_num + do j=1,elec_alpha_num + write(502,10004) i, j, slater_matrix_alpha(i,j), slater_matrix_alpha_inv_det(i,j) / ddet + end do + end do + write(502,10005) k + do i=1,elec_alpha_num + write(502,10006) i, mo_value(i,imo) + end do + + call det_update(elec_alpha_num, elec_alpha_num_8, & + mo_value(1,imo), & + k, & + slater_matrix_alpha, & + slater_matrix_alpha_inv_det, & + ddet) + if (ddet /= 0.d0) then + det_alpha_value_curr = ddet + else + n_to_do += 1 + to_do(n_to_do) = k + ddet = det_alpha_value_curr + endif + enddo + if (n_to_do == n_to_do_old) then + ddet = 0.d0 + exit + endif + enddo + endif + + write(501,10007) + write(502,10007) + cycle_id = cycle_id + 1 + !close(501) !! Close file + !close(502) !! Close file + !stop + + else + + ddet = 0.d0 + + endif + + + ! Avoid NaN + if (ddet /= 0.d0) then + continue + else + do j=1,mo_closed_num + !DIR$ VECTOR ALIGNED + !DIR$ LOOP COUNT(100) + do i=1,elec_alpha_num + slater_matrix_alpha(i,j) = mo_value(i,j) + slater_matrix_alpha_inv_det(j,i) = mo_value(i,j) + enddo + enddo + do k=mo_closed_num+1,elec_alpha_num + !DIR$ VECTOR ALIGNED + !DIR$ LOOP COUNT(100) + do i=1,elec_alpha_num + slater_matrix_alpha(i,k) = mo_value(i,mo_list_alpha_curr(k)) + slater_matrix_alpha_inv_det(k,i) = mo_value(i,mo_list_alpha_curr(k)) + enddo + enddo + call invert(slater_matrix_alpha_inv_det,elec_alpha_num_8,elec_alpha_num,ddet) + + endif + ASSERT (ddet /= 0.d0) + + det_alpha_value_curr = ddet +END_PROVIDER + + BEGIN_PROVIDER [ double precision, det_beta_value_curr ] +&BEGIN_PROVIDER [ real, slater_matrix_beta, (elec_beta_num_8,elec_beta_num) ] +&BEGIN_PROVIDER [ double precision, slater_matrix_beta_inv_det, (elec_beta_num_8,elec_beta_num) ] + BEGIN_DOC + ! det_beta_value_curr : Value of the current beta determinant + ! + ! slater_matrix_beta : Slater matrix for the current beta determinant. + ! 1st index runs over electrons and + ! 2nd index runs over MOs. + ! Built with 1st determinant + ! + ! slater_matrix_beta_inv_det : Inverse of the beta Slater matrix x determinant + END_DOC + + double precision :: ddet + integer :: i,j,k,imo,l + integer :: to_do(elec_alpha_num-mo_closed_num), n_to_do_old, n_to_do + + integer, save :: ifirst + if (elec_beta_num == 0) then + det_beta_value_curr = 0.d0 + return + endif + + if (ifirst == 0) then + ifirst = 1 + slater_matrix_beta = 0. + slater_matrix_beta_inv_det = 0.d0 + endif + PROVIDE mo_value + + if (det_j /= det_beta_order(1)) then +! if (det_j == -1) then + + n_to_do = 0 + do k=mo_closed_num+1,elec_beta_num + imo = mo_list_beta_curr(k) + if ( imo /= mo_list_beta_prev(k) ) then + n_to_do += 1 + to_do(n_to_do) = k + endif + enddo + + ddet = 0.d0 + if (n_to_do < shiftl(elec_beta_num,1)) then + + do while ( n_to_do > 0 ) + ddet = det_beta_value_curr + n_to_do_old = n_to_do + n_to_do = 0 + do l=1,n_to_do_old + k = to_do(l) + imo = mo_list_beta_curr(k) + call det_update(elec_beta_num, elec_beta_num_8, & + mo_value(elec_alpha_num+1,imo), & + k, & + slater_matrix_beta, & + slater_matrix_beta_inv_det, & + ddet) + if (ddet /= 0.d0) then + det_beta_value_curr = ddet + else + n_to_do += 1 + to_do(n_to_do) = k + ddet = det_beta_value_curr + endif + enddo + if (n_to_do == n_to_do_old) then + ddet = 0.d0 + exit + endif + enddo + + endif + + else + + ddet = 0.d0 + + endif + + ! Avoid NaN + if (ddet /= 0.d0) then + continue + else + do j=1,mo_closed_num + !DIR$ VECTOR UNALIGNED + !DIR$ LOOP COUNT (100) + do i=1,elec_beta_num + slater_matrix_beta(i,j) = mo_value(i+elec_alpha_num,j) + slater_matrix_beta_inv_det(j,i) = mo_value(i+elec_alpha_num,j) + enddo + enddo + do k=mo_closed_num+1,elec_beta_num + !DIR$ VECTOR UNALIGNED + !DIR$ LOOP COUNT (100) + do i=1,elec_beta_num + slater_matrix_beta(i,k) = mo_value(i+elec_alpha_num,mo_list_beta_curr(k)) + slater_matrix_beta_inv_det(k,i) = mo_value(i+elec_alpha_num,mo_list_beta_curr(k)) + enddo + enddo + call invert(slater_matrix_beta_inv_det,elec_beta_num_8,elec_beta_num,ddet) + endif + ASSERT (ddet /= 0.d0) + + det_beta_value_curr = ddet + +END_PROVIDER + + BEGIN_PROVIDER [ integer, det_alpha_num_pseudo ] +&BEGIN_PROVIDER [ integer, det_beta_num_pseudo ] + implicit none + BEGIN_DOC + ! Dimensioning of large arrays made smaller without pseudo + END_DOC + if (do_pseudo) then + det_alpha_num_pseudo = det_alpha_num + det_beta_num_pseudo = det_beta_num + else + det_alpha_num_pseudo = 1 + det_beta_num_pseudo = 1 + endif +END_PROVIDER + + + BEGIN_PROVIDER [ double precision , det_alpha_value, (det_alpha_num_8) ] +&BEGIN_PROVIDER [ double precision , det_alpha_grad_lapl, (4,elec_alpha_num,det_alpha_num) ] +&BEGIN_PROVIDER [ double precision , det_alpha_pseudo, (elec_alpha_num_8,det_alpha_num_pseudo) ] + + implicit none + + BEGIN_DOC + ! Values of the alpha determinants + ! Gradients of the alpha determinants + ! Laplacians of the alpha determinants + END_DOC + + integer :: j,i,k + integer, save :: ifirst = 0 + if (ifirst == 0) then + ifirst = 1 + det_alpha_value = 0.d0 + det_alpha_grad_lapl = 0.d0 + det_alpha_pseudo = 0.d0 + endif + + + do j=1,det_alpha_num + + det_i = det_alpha_order(j) + if (j > 1) then + TOUCH det_i + endif + + det_alpha_value(det_i) = det_alpha_value_curr + det_alpha_grad_lapl(:,:,det_i) = det_alpha_grad_lapl_curr(:,:) + if (do_pseudo) then + det_alpha_pseudo(:,det_i) = det_alpha_pseudo_curr(:) + endif + + enddo + + det_i = det_alpha_order(1) + SOFT_TOUCH det_i + +END_PROVIDER + + BEGIN_PROVIDER [ double precision, det_beta_value, (det_beta_num_8) ] +&BEGIN_PROVIDER [ double precision, det_beta_grad_lapl, (4,elec_alpha_num+1:elec_num,det_beta_num) ] +&BEGIN_PROVIDER [ double precision, det_beta_pseudo, (elec_alpha_num+1:elec_num,det_beta_num_pseudo) ] + + + implicit none + + BEGIN_DOC + ! Values of the beta determinants + ! Gradients of the beta determinants + ! Laplacians of the beta determinants + END_DOC + + integer :: j,i,k + integer, save :: ifirst = 0 + if (elec_beta_num == 0) then + det_beta_value = 1.d0 + return + endif + + if (ifirst == 0) then + ifirst = 1 + det_beta_value = 0.d0 + det_beta_grad_lapl = 0.d0 + det_beta_pseudo = 0.d0 + endif + + do j=1,det_beta_num + + det_j = det_beta_order(j) + if (j > 1) then + TOUCH det_j + endif + + det_beta_value(det_j) = det_beta_value_curr + det_beta_grad_lapl(:,:,det_j) = det_beta_grad_lapl_curr(:,:) + if (do_pseudo) then + det_beta_pseudo(:,det_j) = det_beta_pseudo_curr(:) + endif + + enddo + + det_j = det_beta_order(1) + SOFT_TOUCH det_j + +END_PROVIDER + + + BEGIN_PROVIDER [ double precision, psidet_value ] +&BEGIN_PROVIDER [ double precision, psidet_inv ] +&BEGIN_PROVIDER [ double precision, psidet_grad_lapl, (4,elec_num_8) ] +&BEGIN_PROVIDER [ double precision, pseudo_non_local, (elec_num) ] + + implicit none + BEGIN_DOC + ! Value of the determinantal part of the wave function + + ! Gradient of the determinantal part of the wave function + + ! Laplacian of determinantal part of the wave function + + ! Non-local component of the pseudopotentials + + ! Regularized 1/psi = 1/(psi + 1/psi) + END_DOC + + integer, save :: ifirst=0 + if (ifirst == 0) then + ifirst = 1 + psidet_grad_lapl = 0.d0 + endif + + double precision :: CDb(det_alpha_num_8) + double precision :: CDb_i + double precision :: DaC(det_beta_num_8) + !DIR$ ATTRIBUTES ALIGN : 32 :: DaC,CDb + + ! C x D_beta + ! D_alpha^t x C + ! D_alpha^t x (C x D_beta) + + integer :: i,j,k, l + integer :: i1,i2,i3,i4,det_num4 + integer :: j1,j2,j3,j4 + double precision :: f + + DaC = 0.d0 + CDb = 0.d0 + + if (det_num < shiftr(det_alpha_num*det_beta_num,2)) then + + det_num4 = iand(det_num,not(3)) + !DIR$ VECTOR ALIGNED + do k=1,det_num4,4 + i1 = det_coef_matrix_rows(k ) + i2 = det_coef_matrix_rows(k+1) + i3 = det_coef_matrix_rows(k+2) + i4 = det_coef_matrix_rows(k+3) + j1 = det_coef_matrix_columns(k ) + j2 = det_coef_matrix_columns(k+1) + j3 = det_coef_matrix_columns(k+2) + j4 = det_coef_matrix_columns(k+3) + if ( (j1 == j2).and.(j1 == j3).and.(j1 == j4) ) then + f = det_beta_value (j1) + CDb(i1) = CDb(i1) + det_coef_matrix_values(k )*f + CDb(i2) = CDb(i2) + det_coef_matrix_values(k+1)*f + CDb(i3) = CDb(i3) + det_coef_matrix_values(k+2)*f + CDb(i4) = CDb(i4) + det_coef_matrix_values(k+3)*f + + if ( ((i2-i1) == 1).and.((i3-i1) == 2).and.((i4-i1) == 3) ) then + DaC(j1) = DaC(j1) + det_coef_matrix_values(k)*det_alpha_value(i1) & + + det_coef_matrix_values(k+1)*det_alpha_value(i1+1) & + + det_coef_matrix_values(k+2)*det_alpha_value(i1+2) & + + det_coef_matrix_values(k+3)*det_alpha_value(i1+3) + else + DaC(j1) = DaC(j1) + det_coef_matrix_values(k)*det_alpha_value(i1) & + + det_coef_matrix_values(k+1)*det_alpha_value(i2) & + + det_coef_matrix_values(k+2)*det_alpha_value(i3) & + + det_coef_matrix_values(k+3)*det_alpha_value(i4) + endif + else + DaC(j1) = DaC(j1) + det_coef_matrix_values(k )*det_alpha_value(i1) + DaC(j2) = DaC(j2) + det_coef_matrix_values(k+1)*det_alpha_value(i2) + DaC(j3) = DaC(j3) + det_coef_matrix_values(k+2)*det_alpha_value(i3) + DaC(j4) = DaC(j4) + det_coef_matrix_values(k+3)*det_alpha_value(i4) + CDb(i1) = CDb(i1) + det_coef_matrix_values(k )*det_beta_value (j1) + CDb(i2) = CDb(i2) + det_coef_matrix_values(k+1)*det_beta_value (j2) + CDb(i3) = CDb(i3) + det_coef_matrix_values(k+2)*det_beta_value (j3) + CDb(i4) = CDb(i4) + det_coef_matrix_values(k+3)*det_beta_value (j4) + endif + enddo + + do k=det_num4+1,det_num + i = det_coef_matrix_rows(k) + j = det_coef_matrix_columns(k) + DaC(j) = DaC(j) + det_coef_matrix_values(k)*det_alpha_value(i) + CDb(i) = CDb(i) + det_coef_matrix_values(k)*det_beta_value (j) + enddo + + else + + call dgemv('T',det_alpha_num,det_beta_num,1.d0,det_coef_matrix_dense, & + size(det_coef_matrix_dense,1), det_alpha_value, 1, 0.d0, DaC, 1) + call dgemv('N',det_alpha_num,det_beta_num,1.d0,det_coef_matrix_dense, & + size(det_coef_matrix_dense,1), det_beta_value, 1, 0.d0, CDb, 1) + + endif + + ! Value + ! ----- + + psidet_value = 0.d0 + do j=1,det_beta_num + psidet_value = psidet_value + det_beta_value(j) * DaC(j) + enddo + + + if (psidet_value == 0.d0) then + call abrt(irp_here,'Determinantal component of the wave function is zero.') + endif + psidet_inv = 1.d0/psidet_value + + ! Gradients + ! --------- + + call dgemv('N',elec_alpha_num*4,det_alpha_num,1.d0, & + det_alpha_grad_lapl, & + size(det_alpha_grad_lapl,1)*size(det_alpha_grad_lapl,2), & + CDb, 1, 0.d0, psidet_grad_lapl, 1) + if (elec_beta_num /= 0) then + call dgemv('N',elec_beta_num*4,det_beta_num,1.d0, & + det_beta_grad_lapl(1,elec_alpha_num+1,1), & + size(det_beta_grad_lapl,1)*size(det_beta_grad_lapl,2), & + DaC, 1, 0.d0, psidet_grad_lapl(1,elec_alpha_num+1), 1) + endif + + if (do_pseudo) then + call dgemv('N',elec_alpha_num,det_alpha_num,psidet_inv, & + det_alpha_pseudo, size(det_alpha_pseudo,1), & + CDb, 1, 0.d0, pseudo_non_local, 1) + if (elec_beta_num /= 0) then + call dgemv('N',elec_beta_num,det_beta_num,psidet_inv, & + det_beta_pseudo, size(det_beta_pseudo,1), & + DaC, 1, 0.d0, pseudo_non_local(elec_alpha_num+1), 1) + endif + endif + +END_PROVIDER + +BEGIN_PROVIDER [ double precision, det_alpha_pseudo_curr, (elec_alpha_num) ] + implicit none + BEGIN_DOC +! Pseudopotential non-local contribution + END_DOC + integer :: i,j,l,m,k,n + integer :: imo,kk + double precision :: c + integer, save :: ifirst = 0 + if (ifirst == 0) then + ifirst = 1 + det_alpha_pseudo_curr = 0.d0 + endif + if (do_pseudo) then + do i=1,elec_alpha_num + det_alpha_pseudo_curr(i) = 0.d0 + do n=1,elec_alpha_num + imo = mo_list_alpha_curr(n) + c = slater_matrix_alpha_inv_det(i,n) + det_alpha_pseudo_curr(i) = & + det_alpha_pseudo_curr(i) + c*pseudo_mo_term(imo,i) + enddo + enddo + endif +END_PROVIDER + +BEGIN_PROVIDER [ double precision, det_beta_pseudo_curr, (elec_alpha_num+1:elec_num) ] + implicit none + BEGIN_DOC +! Pseudopotential non-local contribution + END_DOC + integer :: i,j,l,m,k,n + integer :: imo,kk + double precision :: c + integer, save :: ifirst = 0 + if (elec_beta_num == 0) then + return + endif + if (ifirst == 0) then + ifirst = 1 + det_beta_pseudo_curr = 0.d0 + endif + if (do_pseudo) then + do i=elec_alpha_num+1,elec_num + det_beta_pseudo_curr(i) = 0.d0 + do n=1,elec_beta_num + imo = mo_list_beta_curr(n) + c = slater_matrix_beta_inv_det(i-elec_alpha_num,n) + det_beta_pseudo_curr(i) = & + det_beta_pseudo_curr(i) + c*pseudo_mo_term(imo,i) + enddo + enddo + endif +END_PROVIDER + +BEGIN_PROVIDER [ double precision, det_alpha_grad_lapl_curr, (4,elec_alpha_num) ] + implicit none + BEGIN_DOC + ! Gradient of the current alpha determinant + END_DOC + + integer :: i, j, k + !DIR$ VECTOR ALIGNED + do i=1,elec_alpha_num + det_alpha_grad_lapl_curr(1,i) = 0.d0 + det_alpha_grad_lapl_curr(2,i) = 0.d0 + det_alpha_grad_lapl_curr(3,i) = 0.d0 + det_alpha_grad_lapl_curr(4,i) = 0.d0 + enddo + + integer :: imo, imo2 + +! ------- +! The following code does the same as this: +! +! do j=1,elec_alpha_num +! imo = mo_list_alpha_curr(j) +! do i=1,elec_alpha_num +! do k=1,4 +! det_alpha_grad_lapl_curr(k,i) = det_alpha_grad_lapl_curr(k,i) + mo_grad_lapl_alpha(k,i,imo)*slater_matrix_alpha_inv_det(i,j) +! enddo +! enddo +! enddo +! +! ------- + + if (iand(elec_alpha_num,1) == 0) then + + do j=1,elec_alpha_num,2 + imo = mo_list_alpha_curr(j ) + imo2 = mo_list_alpha_curr(j+1) + do i=1,elec_alpha_num,2 + !DIR$ VECTOR ALIGNED + do k=1,4 + det_alpha_grad_lapl_curr(k,i ) = det_alpha_grad_lapl_curr(k,i ) + mo_grad_lapl_alpha(k,i ,imo )*slater_matrix_alpha_inv_det(i ,j ) & + + mo_grad_lapl_alpha(k,i ,imo2)*slater_matrix_alpha_inv_det(i ,j+1) + det_alpha_grad_lapl_curr(k,i+1) = det_alpha_grad_lapl_curr(k,i+1) + mo_grad_lapl_alpha(k,i+1,imo )*slater_matrix_alpha_inv_det(i+1,j ) & + + mo_grad_lapl_alpha(k,i+1,imo2)*slater_matrix_alpha_inv_det(i+1,j+1) + enddo + enddo + enddo + + else + + do j=1,elec_alpha_num-1,2 + imo = mo_list_alpha_curr(j ) + imo2 = mo_list_alpha_curr(j+1) + do i=1,elec_alpha_num-1,2 + !DIR$ VECTOR ALIGNED + do k=1,4 + det_alpha_grad_lapl_curr(k,i ) = det_alpha_grad_lapl_curr(k,i ) + mo_grad_lapl_alpha(k,i ,imo )*slater_matrix_alpha_inv_det(i ,j ) & + + mo_grad_lapl_alpha(k,i ,imo2)*slater_matrix_alpha_inv_det(i ,j+1) + det_alpha_grad_lapl_curr(k,i+1) = det_alpha_grad_lapl_curr(k,i+1) + mo_grad_lapl_alpha(k,i+1,imo )*slater_matrix_alpha_inv_det(i+1,j ) & + + mo_grad_lapl_alpha(k,i+1,imo2)*slater_matrix_alpha_inv_det(i+1,j+1) + enddo + enddo + i=elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_alpha_grad_lapl_curr(k,i) = det_alpha_grad_lapl_curr(k,i) + mo_grad_lapl_alpha(k,i,imo )*slater_matrix_alpha_inv_det(i,j ) & + + mo_grad_lapl_alpha(k,i,imo2)*slater_matrix_alpha_inv_det(i,j+1) + enddo + enddo + + j=elec_alpha_num + imo = mo_list_alpha_curr(j) + do i=1,elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_alpha_grad_lapl_curr(k,i ) = det_alpha_grad_lapl_curr(k,i ) + mo_grad_lapl_alpha(k,i ,imo)*slater_matrix_alpha_inv_det(i ,j) + enddo + enddo + + endif + + +END_PROVIDER + + +BEGIN_PROVIDER [ double precision, det_beta_grad_lapl_curr, (4,elec_alpha_num+1:elec_num) ] + implicit none + BEGIN_DOC + ! Gradient and Laplacian of the current beta determinant + END_DOC + + integer :: i, j, k, l + + !DIR$ VECTOR ALIGNED + do i=elec_alpha_num+1,elec_num + det_beta_grad_lapl_curr(1,i) = 0.d0 + det_beta_grad_lapl_curr(2,i) = 0.d0 + det_beta_grad_lapl_curr(3,i) = 0.d0 + det_beta_grad_lapl_curr(4,i) = 0.d0 + enddo + + integer :: imo, imo2 + +! ------- +! The following code does the same as this: +! +! do j=1,elec_beta_num +! imo = mo_list_beta_curr(j) +! do i=elec_alpha_num+1,elec_num +! do k=1,4 +! det_beta_grad_lapl_curr(k,i) = det_beta_grad_lapl_curr(k,i) +& +! mo_grad_lapl_alpha(k,i,imo)*slater_matrix_beta_inv_det(i-elec_alpha_num,j) +! enddo +! enddo +! enddo +! +! -------- + + if (iand(elec_beta_num,1) == 0) then + + do j=1,elec_beta_num,2 + imo = mo_list_beta_curr(j ) + imo2 = mo_list_beta_curr(j+1) + !DIR$ LOOP COUNT (16) + do i=elec_alpha_num+1,elec_num,2 + l = i-elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_beta_grad_lapl_curr(k,i) = det_beta_grad_lapl_curr(k,i) +& + mo_grad_lapl_beta(k,i,imo )*slater_matrix_beta_inv_det(l,j ) + & + mo_grad_lapl_beta(k,i,imo2)*slater_matrix_beta_inv_det(l,j+1) + det_beta_grad_lapl_curr(k,i+1) = det_beta_grad_lapl_curr(k,i+1) +& + mo_grad_lapl_beta(k,i+1,imo )*slater_matrix_beta_inv_det(l+1,j ) + & + mo_grad_lapl_beta(k,i+1,imo2)*slater_matrix_beta_inv_det(l+1,j+1) + enddo + enddo + enddo + + else + + do j=1,elec_beta_num-1,2 + imo = mo_list_beta_curr(j ) + imo2 = mo_list_beta_curr(j+1) + !DIR$ LOOP COUNT (16) + do i=elec_alpha_num+1,elec_num-1,2 + l = i-elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_beta_grad_lapl_curr(k,i) = det_beta_grad_lapl_curr(k,i) +& + mo_grad_lapl_beta(k,i,imo )*slater_matrix_beta_inv_det(l,j ) + & + mo_grad_lapl_beta(k,i,imo2)*slater_matrix_beta_inv_det(l,j+1) + det_beta_grad_lapl_curr(k,i+1) = det_beta_grad_lapl_curr(k,i+1) +& + mo_grad_lapl_beta(k,i+1,imo )*slater_matrix_beta_inv_det(l+1,j ) + & + mo_grad_lapl_beta(k,i+1,imo2)*slater_matrix_beta_inv_det(l+1,j+1) + enddo + enddo + i = elec_num + l = elec_num-elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_beta_grad_lapl_curr(k,i) = det_beta_grad_lapl_curr(k,i) +& + mo_grad_lapl_beta(k,i,imo )*slater_matrix_beta_inv_det(l,j ) + & + mo_grad_lapl_beta(k,i,imo2)*slater_matrix_beta_inv_det(l,j+1) + enddo + enddo + + j = elec_beta_num + imo = mo_list_beta_curr(j) + do i=elec_alpha_num+1,elec_num + l = i-elec_alpha_num + !DIR$ VECTOR ALIGNED + do k=1,4 + det_beta_grad_lapl_curr(k,i) = det_beta_grad_lapl_curr(k,i) +& + mo_grad_lapl_beta(k,i,imo)*slater_matrix_beta_inv_det(l,j) + enddo + enddo + + endif + +END_PROVIDER + + + BEGIN_PROVIDER [ double precision, single_det_value ] +&BEGIN_PROVIDER [ double precision, single_det_grad, (elec_num_8,3) ] +&BEGIN_PROVIDER [ double precision, single_det_lapl, (elec_num) ] + BEGIN_DOC + ! Value of a single determinant wave function from the 1st determinant + END_DOC + det_i = 1 + det_j = 1 + integer :: i + single_det_value = det_alpha_value_curr * det_beta_value_curr + do i=1,elec_alpha_num + single_det_grad(i,1) = det_alpha_grad_lapl_curr(1,i) * det_beta_value_curr + single_det_grad(i,2) = det_alpha_grad_lapl_curr(2,i) * det_beta_value_curr + single_det_grad(i,3) = det_alpha_grad_lapl_curr(3,i) * det_beta_value_curr + single_det_lapl(i) = det_alpha_grad_lapl_curr(4,i) * det_beta_value_curr + enddo + do i=elec_alpha_num+1,elec_num + single_det_grad(i,1) = det_alpha_value_curr * det_beta_grad_lapl_curr(1,i) + single_det_grad(i,2) = det_alpha_value_curr * det_beta_grad_lapl_curr(2,i) + single_det_grad(i,3) = det_alpha_value_curr * det_beta_grad_lapl_curr(3,i) + single_det_lapl(i) = det_alpha_value_curr * det_beta_grad_lapl_curr(4,i) + enddo +END_PROVIDER + diff --git a/fMaponiA3_test.f90 b/fMaponiA3_test.f90 index 5fdc1d0..b8c519c 100644 --- a/fMaponiA3_test.f90 +++ b/fMaponiA3_test.f90 @@ -10,7 +10,7 @@ program Interface_test real(c_double), dimension(:,:), allocatable :: A0_inv dim = 3 - N_updates = dim + N_updates = 3 allocate(Ar_index(dim), A(dim,dim), A0(dim,dim), Ar(dim,dim), A0_inv(dim,dim)) !! Initialize A with M=3 and fill acc. to Eq. 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