1*1e99f302SBen Matthews! This software is Copyright (c) 2012-2015 The Regents of the 2*1e99f302SBen Matthews! University of California. All Rights Reserved. 3*1e99f302SBen Matthews! 4*1e99f302SBen Matthews! Permission to copy and modify this software and its documentation 5*1e99f302SBen Matthews! for educational, research and non-profit purposes, without fee, 6*1e99f302SBen Matthews! and without a written agreement is hereby granted, provided that 7*1e99f302SBen Matthews! the above copyright notice, this paragraph and the following three 8*1e99f302SBen Matthews! paragraphs appear in all copies. 9*1e99f302SBen Matthews! 10*1e99f302SBen Matthews! Permission to make commercial use of this software may be obtained 11*1e99f302SBen Matthews! by contacting: 12*1e99f302SBen Matthews! 13*1e99f302SBen Matthews! Technology Transfer Office 14*1e99f302SBen Matthews! 9500 Gilman Drive, Mail Code 0910 15*1e99f302SBen Matthews! University of California 16*1e99f302SBen Matthews! La Jolla, CA 92093-0910 17*1e99f302SBen Matthews! (858) 534-5815 18*1e99f302SBen Matthews! invent@ucsd.edu 19*1e99f302SBen Matthews! 20*1e99f302SBen Matthews! This software program and documentation are copyrighted by The 21*1e99f302SBen Matthews! Regents of the University of California. The software program and 22*1e99f302SBen Matthews! documentation are supplied "as is", without any accompanying 23*1e99f302SBen Matthews! services from The Regents. The Regents does not warrant that the 24*1e99f302SBen Matthews! operation of the program will be uninterrupted or error-free. The 25*1e99f302SBen Matthews! end-user understands that the program was developed for research 26*1e99f302SBen Matthews! purposes and is advised not to rely exclusively on the program for 27*1e99f302SBen Matthews! any reason. 28*1e99f302SBen Matthews! 29*1e99f302SBen Matthews! IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY 30*1e99f302SBen Matthews! PARTY FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL 31*1e99f302SBen Matthews! DAMAGES, INCLUDING LOST PROFITS, ARISING OUT OF THE USE OF THIS 32*1e99f302SBen Matthews! SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF 33*1e99f302SBen Matthews! CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 34*1e99f302SBen Matthews! THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY 35*1e99f302SBen Matthews! WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 36*1e99f302SBen Matthews! OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE 37*1e99f302SBen Matthews! SOFTWARE PROVIDED HEREUNDER IS ON AN "AS IS" BASIS, AND THE 38*1e99f302SBen Matthews! UNIVERSITY OF CALIFORNIA HAS NO OBLIGATIONS TO PROVIDE 39*1e99f302SBen Matthews! MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS. 40*1e99f302SBen Matthews 41*1e99f302SBen Matthews SUBROUTINE CGRAD(nFaces, dof, nNo, nnz, mynNo, commu, cS, face, 42*1e99f302SBen Matthews 2 ls, rowPtr, colPtr, D, G, L, R) 43*1e99f302SBen Matthews 44*1e99f302SBen Matthews INCLUDE "svLS_STD.h" 45*1e99f302SBen Matthews 46*1e99f302SBen Matthews INTEGER, INTENT(IN) :: nFaces, dof, nNo, nnz, mynNo 47*1e99f302SBen Matthews TYPE(svLS_commuType), INTENT(IN) :: commu 48*1e99f302SBen Matthews TYPE(svLS_cSType), INTENT(IN) :: cS(commu%nTasks) 49*1e99f302SBen Matthews TYPE(svLS_faceType), INTENT(IN) :: face(nFaces) 50*1e99f302SBen Matthews TYPE(svLS_subLsType), INTENT(INOUT) :: ls 51*1e99f302SBen Matthews INTEGER, INTENT(IN) :: rowPtr(2,nNo), colPtr(nnz) 52*1e99f302SBen Matthews REAL*8, INTENT(IN) :: D(dof,nnz), G(dof,nnz), L(nnz) 53*1e99f302SBen Matthews REAL*8, INTENT(INOUT) :: R(nNo) 54*1e99f302SBen Matthews 55*1e99f302SBen Matthews INTEGER i 56*1e99f302SBen Matthews REAL*8 errO, err, alpha, eps, time 57*1e99f302SBen Matthews REAL*8 CPUT, NORMS, DOTS 58*1e99f302SBen Matthews REAL*8, ALLOCATABLE :: X(:), P(:), SP(:), DGP(:), GP(:,:), 59*1e99f302SBen Matthews 2 unCondU(:,:) 60*1e99f302SBen Matthews 61*1e99f302SBen Matthews ALLOCATE(X(nNo), P(nNo), SP(nNo), DGP(nNo), GP(dof,nNo), 62*1e99f302SBen Matthews 2 unCondU(dof,nNo)) 63*1e99f302SBen Matthews 64*1e99f302SBen Matthews time = CPUT() 65*1e99f302SBen Matthews ls%suc = .FALSE. 66*1e99f302SBen Matthews errO = NORMS(mynNo, commu, R) 67*1e99f302SBen Matthews ls%iNorm = errO 68*1e99f302SBen Matthews eps = MAX(ls%absTol,ls%relTol*errO) 69*1e99f302SBen Matthews eps = eps*eps 70*1e99f302SBen Matthews X = 0D0 71*1e99f302SBen Matthews 72*1e99f302SBen Matthews err = errO 73*1e99f302SBen Matthews err = err*err 74*1e99f302SBen Matthews P = R 75*1e99f302SBen Matthews DO i=1, ls%mItr 76*1e99f302SBen Matthews IF (err .LT. eps) THEN 77*1e99f302SBen Matthews ls%suc = .TRUE. 78*1e99f302SBen Matthews EXIT 79*1e99f302SBen Matthews END IF 80*1e99f302SBen Matthews errO = err 81*1e99f302SBen Matthews CALL SPARMULSV(dof, nNo, nnz, commu, cS, rowPtr, colPtr, 82*1e99f302SBen Matthews 2 G, P, GP) 83*1e99f302SBen Matthews 84*1e99f302SBen Matthews IF (ANY(face%coupledFlag)) THEN 85*1e99f302SBen Matthews unCondU = GP 86*1e99f302SBen Matthews CALL ADDBCMUL(BCOP_TYPE_PRE, nFaces, dof, nNo, mynNo, commu, 87*1e99f302SBen Matthews 2 face, unCondU, GP) 88*1e99f302SBen Matthews END IF 89*1e99f302SBen Matthews 90*1e99f302SBen Matthews CALL SPARMULVS(dof, nNo, nnz, commu, cS, rowPtr, colPtr, 91*1e99f302SBen Matthews 2 D, GP, DGP) 92*1e99f302SBen Matthews 93*1e99f302SBen Matthews CALL SPARMULSS( nNo, nnz, commu, cS, rowPtr, colPtr, 94*1e99f302SBen Matthews 2 L, P, SP) 95*1e99f302SBen Matthews 96*1e99f302SBen Matthews SP = SP - DGP 97*1e99f302SBen Matthews alpha = errO/DOTS(mynNo, commu, P, SP) 98*1e99f302SBen Matthews X = X + alpha*P 99*1e99f302SBen Matthews R = R - alpha*SP 100*1e99f302SBen Matthews err = NORMS(mynNo, commu, R) 101*1e99f302SBen Matthews err = err*err 102*1e99f302SBen Matthews P = R + err/errO*P 103*1e99f302SBen Matthews END DO 104*1e99f302SBen Matthews R = X 105*1e99f302SBen Matthews ls%fNorm = SQRT(err) 106*1e99f302SBen Matthews ls%callD = CPUT() - time + ls%callD 107*1e99f302SBen Matthews ls%dB = 5D0*LOG(err/errO) 108*1e99f302SBen Matthews ls%itr = ls%itr + i - 1 109*1e99f302SBen Matthews 110*1e99f302SBen Matthews DEALLOCATE(X, P, SP, DGP, GP) 111*1e99f302SBen Matthews 112*1e99f302SBen Matthews RETURN 113*1e99f302SBen Matthews END SUBROUTINE CGRAD 114*1e99f302SBen Matthews 115*1e99f302SBen Matthews!==================================================================== 116*1e99f302SBen Matthews 117*1e99f302SBen Matthews SUBROUTINE CGRADV(dof, nNo, nnz, mynNo, commu, cS, ls, 118*1e99f302SBen Matthews 2 rowPtr, colPtr, K, R) 119*1e99f302SBen Matthews 120*1e99f302SBen Matthews INCLUDE "svLS_STD.h" 121*1e99f302SBen Matthews 122*1e99f302SBen Matthews INTEGER, INTENT(IN) :: dof, nNo, nnz, mynNo 123*1e99f302SBen Matthews TYPE(svLS_commuType), INTENT(IN) :: commu 124*1e99f302SBen Matthews TYPE(svLS_cSType), INTENT(IN) :: cS(commu%nTasks) 125*1e99f302SBen Matthews TYPE(svLS_subLsType), INTENT(INOUT) :: ls 126*1e99f302SBen Matthews INTEGER, INTENT(IN) :: rowPtr(2,nNo), colPtr(nnz) 127*1e99f302SBen Matthews REAL*8, INTENT(IN) :: K(dof*dof,nnz) 128*1e99f302SBen Matthews REAL*8, INTENT(INOUT) :: R(dof,nNo) 129*1e99f302SBen Matthews 130*1e99f302SBen Matthews INTEGER i 131*1e99f302SBen Matthews REAL*8 errO, err, alpha, eps 132*1e99f302SBen Matthews REAL*8 CPUT, NORMV, DOTV 133*1e99f302SBen Matthews REAL*8, ALLOCATABLE :: P(:,:), KP(:,:), X(:,:) 134*1e99f302SBen Matthews 135*1e99f302SBen Matthews ALLOCATE(P(dof,nNo), KP(dof,nNo), X(dof,nNo)) 136*1e99f302SBen Matthews 137*1e99f302SBen Matthews ls%callD = CPUT() 138*1e99f302SBen Matthews ls%suc = .FALSE. 139*1e99f302SBen Matthews err = NORMV(dof, mynNo, commu, R) 140*1e99f302SBen Matthews ls%iNorm = err 141*1e99f302SBen Matthews eps = MAX(ls%absTol,ls%relTol*err) 142*1e99f302SBen Matthews eps = eps*eps 143*1e99f302SBen Matthews err = err*err 144*1e99f302SBen Matthews X = 0D0 145*1e99f302SBen Matthews P = R 146*1e99f302SBen Matthews 147*1e99f302SBen Matthews DO i=1, ls%mItr 148*1e99f302SBen Matthews IF (err .LT. eps) THEN 149*1e99f302SBen Matthews ls%suc = .TRUE. 150*1e99f302SBen Matthews EXIT 151*1e99f302SBen Matthews END IF 152*1e99f302SBen Matthews errO = err 153*1e99f302SBen Matthews CALL SPARMULVV(dof, nNo, nnz, commu, cS, rowPtr, colPtr, 154*1e99f302SBen Matthews 2 K, P, KP) 155*1e99f302SBen Matthews 156*1e99f302SBen Matthews alpha = errO/DOTV(dof, mynNo, commu, P, KP) 157*1e99f302SBen Matthews X = X + alpha*P 158*1e99f302SBen Matthews R = R - alpha*KP 159*1e99f302SBen Matthews err = NORMV(dof, mynNo, commu, R) 160*1e99f302SBen Matthews err = err*err 161*1e99f302SBen Matthews P = R + err/errO*P 162*1e99f302SBen Matthews END DO 163*1e99f302SBen Matthews 164*1e99f302SBen Matthews R = X 165*1e99f302SBen Matthews ls%itr = i - 1 166*1e99f302SBen Matthews ls%fNorm = SQRT(err) 167*1e99f302SBen Matthews ls%callD = CPUT() - ls%callD 168*1e99f302SBen Matthews ls%dB = 5D0*LOG(err/errO) 169*1e99f302SBen Matthews IF (i .GT. ls%mItr) ls%itr = ls%mItr 170*1e99f302SBen Matthews 171*1e99f302SBen Matthews RETURN 172*1e99f302SBen Matthews END SUBROUTINE CGRADV 173*1e99f302SBen Matthews 174*1e99f302SBen Matthews!==================================================================== 175*1e99f302SBen Matthews 176*1e99f302SBen Matthews SUBROUTINE CGRADS(nNo, nnz, mynNo, commu, cS, ls, 177*1e99f302SBen Matthews 2 rowPtr, colPtr, K, R) 178*1e99f302SBen Matthews 179*1e99f302SBen Matthews INCLUDE "svLS_STD.h" 180*1e99f302SBen Matthews 181*1e99f302SBen Matthews INTEGER, INTENT(IN) :: nNo, nnz, mynNo 182*1e99f302SBen Matthews TYPE(svLS_commuType), INTENT(IN) :: commu 183*1e99f302SBen Matthews TYPE(svLS_cSType), INTENT(IN) :: cS(commu%nTasks) 184*1e99f302SBen Matthews TYPE(svLS_subLsType), INTENT(INOUT) :: ls 185*1e99f302SBen Matthews INTEGER, INTENT(IN) :: rowPtr(2,nNo), colPtr(nnz) 186*1e99f302SBen Matthews REAL*8, INTENT(IN) :: K(nnz) 187*1e99f302SBen Matthews REAL*8, INTENT(INOUT) :: R(nNo) 188*1e99f302SBen Matthews 189*1e99f302SBen Matthews INTEGER i 190*1e99f302SBen Matthews REAL*8 errO, err, alpha, eps 191*1e99f302SBen Matthews REAL*8 CPUT, NORMS, DOTS 192*1e99f302SBen Matthews REAL*8, ALLOCATABLE :: P(:), KP(:), X(:) 193*1e99f302SBen Matthews 194*1e99f302SBen Matthews ALLOCATE(P(nNo), KP(nNo), X(nNo)) 195*1e99f302SBen Matthews 196*1e99f302SBen Matthews ls%callD = CPUT() 197*1e99f302SBen Matthews ls%suc = .FALSE. 198*1e99f302SBen Matthews err = NORMS(mynNo, commu, R) 199*1e99f302SBen Matthews ls%iNorm = err 200*1e99f302SBen Matthews eps = MAX(ls%absTol,ls%relTol*err) 201*1e99f302SBen Matthews eps = eps*eps 202*1e99f302SBen Matthews err = err*err 203*1e99f302SBen Matthews X = 0D0 204*1e99f302SBen Matthews P = R 205*1e99f302SBen Matthews 206*1e99f302SBen Matthews DO i=1, ls%mItr 207*1e99f302SBen Matthews IF (err .LT. eps) THEN 208*1e99f302SBen Matthews ls%suc = .TRUE. 209*1e99f302SBen Matthews EXIT 210*1e99f302SBen Matthews END IF 211*1e99f302SBen Matthews errO = err 212*1e99f302SBen Matthews CALL SPARMULSS(nNo, nnz, commu, cS, rowPtr, colPtr, K, P, KP) 213*1e99f302SBen Matthews alpha = errO/DOTS(mynNo, commu, P, KP) 214*1e99f302SBen Matthews X = X + alpha*P 215*1e99f302SBen Matthews R = R - alpha*KP 216*1e99f302SBen Matthews err = NORMS(mynNo, commu, R) 217*1e99f302SBen Matthews err = err*err 218*1e99f302SBen Matthews P = R + err/errO*P 219*1e99f302SBen Matthews END DO 220*1e99f302SBen Matthews 221*1e99f302SBen Matthews R = X 222*1e99f302SBen Matthews ls%itr = i - 1 223*1e99f302SBen Matthews ls%fNorm = SQRT(err) 224*1e99f302SBen Matthews ls%callD = CPUT() - ls%callD 225*1e99f302SBen Matthews ls%dB = 5D0*LOG(err/errO) 226*1e99f302SBen Matthews IF (i .GT. ls%mItr) ls%itr = ls%mItr 227*1e99f302SBen Matthews 228*1e99f302SBen Matthews RETURN 229*1e99f302SBen Matthews END SUBROUTINE CGRADS 230