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| 1 | +!>@file cal_sp_rlm_sym_matmul.f90 |
| 2 | +!!@brief module cal_sp_rlm_sym_matmul |
| 3 | +!! |
| 4 | +!!@author H. Matsui |
| 5 | +!!@date Programmed in Aug., 2013 |
| 6 | +! |
| 7 | +!>@brief Set spectrum data for backward Legendre transform |
| 8 | +!! |
| 9 | +!!@verbatim |
| 10 | +!! subroutine cal_sp_rlm_vector_sym_matmul(nnod_rlm, nidx_rlm, & |
| 11 | +!! & istep_rlm, idx_gl_1d_rlm_j, radius_1d_rlm_r, g_sph_rlm,& |
| 12 | +!! & kst, nkr, jst, n_jk_o, n_jk_e, & |
| 13 | +!! & pol_e, pol_o, dpoldt_e, dpoldp_e, dpoldt_o, dpoldp_o, & |
| 14 | +!! & dtordt_e, dtordp_e, dtordt_o, dtordp_o, & |
| 15 | +!! & ncomp, irev_sr_rlm, n_WS, WS) |
| 16 | +!! subroutine cal_sp_rlm_scalar_sym_matmul & |
| 17 | +!! & (nnod_rlm, nidx_rlm, istep_rlm, g_sph_rlm, & |
| 18 | +!! & kst, nkr, jst, n_jk_o, n_jk_e, scl_e, scl_o, & |
| 19 | +!! & ncomp, nvector, irev_sr_rlm, n_WS, WS) |
| 20 | +!! integer(kind = kint), intent(in) :: nnod_rlm |
| 21 | +!! integer(kind = kint), intent(in) :: nidx_rlm(2) |
| 22 | +!! integer(kind = kint), intent(in) :: istep_rlm(2) |
| 23 | +!! integer(kind = kint), intent(in) & |
| 24 | +!! & :: idx_gl_1d_rlm_j(nidx_rlm(2),3) |
| 25 | +!! real(kind = kreal), intent(in) :: radius_1d_rlm_r(nidx_rlm(1)) |
| 26 | +!! real(kind = kreal), intent(in) :: g_sph_rlm(nidx_rlm(2),17) |
| 27 | +!! integer(kind = kint), intent(in) :: kst, nkr |
| 28 | +!! integer(kind = kint), intent(in) :: jst, n_jk_o, n_jk_e |
| 29 | +!! real(kind = kreal), intent(inout) :: scl_e(nkr,n_jk_e) |
| 30 | +!! real(kind = kreal), intent(inout) :: scl_o(nkr,n_jk_o) |
| 31 | +!! real(kind = kreal), intent(inout) :: pol_e(nkr,n_jk_e) |
| 32 | +!! real(kind = kreal), intent(inout) :: pol_o(nkr,n_jk_o) |
| 33 | +!! real(kind = kreal), intent(inout) :: dpoldt_e(nkr,n_jk_e) |
| 34 | +!! real(kind = kreal), intent(inout) :: dpoldp_e(nkr,n_jk_e) |
| 35 | +!! real(kind = kreal), intent(inout) :: dpoldt_o(nkr,n_jk_o) |
| 36 | +!! real(kind = kreal), intent(inout) :: dpoldp_o(nkr,n_jk_o) |
| 37 | +!! real(kind = kreal), intent(inout) :: dtordt_e(nkr,n_jk_e) |
| 38 | +!! real(kind = kreal), intent(inout) :: dtordp_e(nkr,n_jk_e) |
| 39 | +!! real(kind = kreal), intent(inout) :: dtordt_o(nkr,n_jk_o) |
| 40 | +!! real(kind = kreal), intent(inout) :: dtordp_o(nkr,n_jk_o) |
| 41 | +!! integer(kind = kint), intent(in) :: ncomp, nvector |
| 42 | +!! integer(kind = kint), intent(in) :: irev_sr_rlm(nnod_rlm) |
| 43 | +!! integer(kind = kint), intent(in) :: n_WS |
| 44 | +!! real (kind=kreal), intent(inout):: WS(n_WS) |
| 45 | +!!@endverbatim |
| 46 | +!! |
| 47 | + module cal_sp_rlm_sym_matmul |
| 48 | +! |
| 49 | + use m_precision |
| 50 | + use m_constants |
| 51 | +! |
| 52 | + implicit none |
| 53 | +! |
| 54 | +! ----------------------------------------------------------------------- |
| 55 | +! |
| 56 | + contains |
| 57 | +! |
| 58 | +! ----------------------------------------------------------------------- |
| 59 | +! |
| 60 | + subroutine cal_sp_rlm_vector_sym_matmul(nnod_rlm, nidx_rlm, & |
| 61 | + & istep_rlm, idx_gl_1d_rlm_j, radius_1d_rlm_r, g_sph_rlm, & |
| 62 | + & kst, nkr, jst, n_jk_o, n_jk_e, & |
| 63 | + & pol_e, pol_o, dpoldt_e, dpoldp_e, dpoldt_o, dpoldp_o, & |
| 64 | + & dtordt_e, dtordp_e, dtordt_o, dtordp_o, & |
| 65 | + & ncomp, irev_sr_rlm, n_WS, WS) |
| 66 | +! |
| 67 | + integer(kind = kint), intent(in) :: nnod_rlm |
| 68 | + integer(kind = kint), intent(in) :: nidx_rlm(2) |
| 69 | + integer(kind = kint), intent(in) :: istep_rlm(2) |
| 70 | + integer(kind = kint), intent(in) & |
| 71 | + & :: idx_gl_1d_rlm_j(nidx_rlm(2),3) |
| 72 | + real(kind = kreal), intent(in) :: radius_1d_rlm_r(nidx_rlm(1)) |
| 73 | + real(kind = kreal), intent(in) :: g_sph_rlm(nidx_rlm(2),17) |
| 74 | +! |
| 75 | + integer(kind = kint), intent(in) :: kst, nkr |
| 76 | + integer(kind = kint), intent(in) :: jst, n_jk_o, n_jk_e |
| 77 | +! |
| 78 | + real(kind = kreal), intent(inout) :: pol_e(nkr,n_jk_e) |
| 79 | + real(kind = kreal), intent(inout) :: pol_o(nkr,n_jk_o) |
| 80 | + real(kind = kreal), intent(inout) :: dpoldt_e(nkr,n_jk_e) |
| 81 | + real(kind = kreal), intent(inout) :: dpoldp_e(nkr,n_jk_e) |
| 82 | + real(kind = kreal), intent(inout) :: dpoldt_o(nkr,n_jk_o) |
| 83 | + real(kind = kreal), intent(inout) :: dpoldp_o(nkr,n_jk_o) |
| 84 | + real(kind = kreal), intent(inout) :: dtordt_e(nkr,n_jk_e) |
| 85 | + real(kind = kreal), intent(inout) :: dtordp_e(nkr,n_jk_e) |
| 86 | + real(kind = kreal), intent(inout) :: dtordt_o(nkr,n_jk_o) |
| 87 | + real(kind = kreal), intent(inout) :: dtordp_o(nkr,n_jk_o) |
| 88 | +! |
| 89 | + integer(kind = kint), intent(in) :: ncomp |
| 90 | + integer(kind = kint), intent(in) :: irev_sr_rlm(nnod_rlm) |
| 91 | + integer(kind = kint), intent(in) :: n_WS |
| 92 | + real (kind=kreal), intent(inout):: WS(n_WS) |
| 93 | +! |
| 94 | + integer(kind = kint) :: kr_nd, kk, k_rlm |
| 95 | + integer(kind = kint) :: ie_rlm, io_rlm, ie_send, io_send |
| 96 | + integer(kind = kint) :: nd, jj, i_kj |
| 97 | + real(kind = kreal) :: g7, gm, r1_1d_rlm_r, r2_1d_rlm_r |
| 98 | +! |
| 99 | +! |
| 100 | + do jj = 1, n_jk_e |
| 101 | + g7 = g_sph_rlm(2*jj+jst-1,7) |
| 102 | + gm = dble(idx_gl_1d_rlm_j(2*jj+jst-1,3)) |
| 103 | + do kk = 1, nkr |
| 104 | + i_kj = kk + (jj-1) * nkr |
| 105 | + k_rlm = 1 + mod((kk+kst-1),nidx_rlm(1)) |
| 106 | + r1_1d_rlm_r = radius_1d_rlm_r(k_rlm) |
| 107 | + r2_1d_rlm_r = r1_1d_rlm_r * r1_1d_rlm_r |
| 108 | +! |
| 109 | + pol_e(kk,jj) = pol_e(kk,jj) * r2_1d_rlm_r * g7 |
| 110 | + dpoldt_e(kk,jj) = dpoldt_e(kk,jj) * r1_1d_rlm_r * g7 |
| 111 | + dpoldp_e(kk,jj) = dpoldp_e(kk,jj) * r1_1d_rlm_r * g7 * gm |
| 112 | + dtordt_e(kk,jj) = dtordt_e(kk,jj) * r1_1d_rlm_r * g7 |
| 113 | + dtordp_e(kk,jj) = dtordp_e(kk,jj) * r1_1d_rlm_r * g7 * gm |
| 114 | + end do |
| 115 | + end do |
| 116 | + do jj = 1, n_jk_o |
| 117 | + g7 = g_sph_rlm(2*jj+jst,7) |
| 118 | + gm = dble(idx_gl_1d_rlm_j(2*jj+jst,3)) |
| 119 | + do kk = 1, nkr |
| 120 | + k_rlm = 1 + mod((kk+kst-1),nidx_rlm(1)) |
| 121 | + r1_1d_rlm_r = radius_1d_rlm_r(k_rlm) |
| 122 | + r2_1d_rlm_r = r1_1d_rlm_r * r1_1d_rlm_r |
| 123 | + i_kj = kk + (jj-1) * nkr |
| 124 | +! |
| 125 | + pol_o(kk,jj) = pol_o(kk,jj) * r2_1d_rlm_r * g7 |
| 126 | + dpoldt_o(kk,jj) = dpoldt_o(kk,jj) * r1_1d_rlm_r * g7 |
| 127 | + dpoldp_o(kk,jj) = dpoldp_o(kk,jj) * r1_1d_rlm_r * g7 * gm |
| 128 | + dtordt_o(kk,jj) = dtordt_o(kk,jj) * r1_1d_rlm_r * g7 |
| 129 | + dtordp_o(kk,jj) = dtordp_o(kk,jj) * r1_1d_rlm_r * g7 * gm |
| 130 | + end do |
| 131 | + end do |
| 132 | +! |
| 133 | + do jj = 1, n_jk_o |
| 134 | + do kk = 1, nkr |
| 135 | + kr_nd = kk + kst |
| 136 | + k_rlm = 1 + mod((kr_nd-1),nidx_rlm(1)) |
| 137 | + nd = 1 + (kr_nd - k_rlm) / nidx_rlm(1) |
| 138 | +! |
| 139 | + i_kj = kk + (jj-1) * nkr |
| 140 | + ie_rlm = 1 + (2*jj+jst-2) * istep_rlm(2) & |
| 141 | + & + (k_rlm-1) * istep_rlm(1) |
| 142 | + io_rlm = 1 + (2*jj+jst-1) * istep_rlm(2) & |
| 143 | + & + (k_rlm-1) * istep_rlm(1) |
| 144 | + ie_send = 3*nd + (irev_sr_rlm(ie_rlm) - 1) * ncomp |
| 145 | + io_send = 3*nd + (irev_sr_rlm(io_rlm) - 1) * ncomp |
| 146 | +! |
| 147 | +! even l-m |
| 148 | + WS(ie_send-2) = WS(ie_send-2) + pol_e(kk,jj) |
| 149 | + WS(ie_send-1) = WS(ie_send-1) & |
| 150 | + & - dpoldp_e(kk,jj) + dpoldt_e(kk,jj) |
| 151 | + WS(ie_send ) = WS(ie_send ) & |
| 152 | + & - dtordp_e(kk,jj) - dtordt_e(kk,jj) |
| 153 | +! odd l-m |
| 154 | + WS(io_send-2) = WS(io_send-2) + pol_o(kk,jj) |
| 155 | + WS(io_send-1) = WS(io_send-1) & |
| 156 | + & - dpoldp_o(kk,jj) + dpoldt_o(kk,jj) |
| 157 | + WS(io_send ) = WS(io_send ) & |
| 158 | + & - dtordp_o(kk,jj) - dtordt_o(kk,jj) |
| 159 | + end do |
| 160 | + end do |
| 161 | +! |
| 162 | + do jj = n_jk_o+1, n_jk_e |
| 163 | + do kk = 1, nkr |
| 164 | + kr_nd = kk + kst |
| 165 | + k_rlm = 1 + mod((kr_nd-1),nidx_rlm(1)) |
| 166 | + nd = 1 + (kr_nd - k_rlm) / nidx_rlm(1) |
| 167 | + i_kj = kk + (jj-1) * nkr |
| 168 | + ie_rlm = 1 + (2*jj+jst-2) * istep_rlm(2) & |
| 169 | + & + (k_rlm-1) * istep_rlm(1) |
| 170 | + ie_send = 3*nd + (irev_sr_rlm(ie_rlm) - 1) * ncomp |
| 171 | +! |
| 172 | + WS(ie_send-2) = WS(ie_send-2) + pol_e(kk,jj) |
| 173 | + WS(ie_send-1) = WS(ie_send-1) & |
| 174 | + & - dpoldp_e(kk,jj) + dpoldt_e(kk,jj) |
| 175 | + WS(ie_send ) = WS(ie_send ) & |
| 176 | + & - dtordp_e(kk,jj) - dtordt_e(kk,jj) |
| 177 | + end do |
| 178 | + end do |
| 179 | +! |
| 180 | + end subroutine cal_sp_rlm_vector_sym_matmul |
| 181 | +! |
| 182 | +! ----------------------------------------------------------------------- |
| 183 | +! |
| 184 | + subroutine cal_sp_rlm_scalar_sym_matmul & |
| 185 | + & (nnod_rlm, nidx_rlm, istep_rlm, g_sph_rlm, & |
| 186 | + & kst, nkr, jst, n_jk_o, n_jk_e, scl_e, scl_o, & |
| 187 | + & ncomp, nvector, irev_sr_rlm, n_WS, WS) |
| 188 | +! |
| 189 | + integer(kind = kint), intent(in) :: nnod_rlm |
| 190 | + integer(kind = kint), intent(in) :: nidx_rlm(2) |
| 191 | + integer(kind = kint), intent(in) :: istep_rlm(2) |
| 192 | + real(kind = kreal), intent(in) :: g_sph_rlm(nidx_rlm(2),17) |
| 193 | +! |
| 194 | + integer(kind = kint), intent(in) :: kst, nkr |
| 195 | + integer(kind = kint), intent(in) :: jst, n_jk_o, n_jk_e |
| 196 | +! |
| 197 | + real(kind = kreal), intent(inout) :: scl_e(nkr,n_jk_e) |
| 198 | + real(kind = kreal), intent(inout) :: scl_o(nkr,n_jk_o) |
| 199 | +! |
| 200 | + integer(kind = kint), intent(in) :: ncomp, nvector |
| 201 | + integer(kind = kint), intent(in) :: irev_sr_rlm(nnod_rlm) |
| 202 | + integer(kind = kint), intent(in) :: n_WS |
| 203 | + real (kind=kreal), intent(inout):: WS(n_WS) |
| 204 | +! |
| 205 | + integer(kind = kint) :: kr_nd, kk, k_rlm |
| 206 | + integer(kind = kint) :: ie_rlm, io_rlm, ie_send, io_send |
| 207 | + integer(kind = kint) :: nd, jj |
| 208 | + real(kind = kreal) :: g6 |
| 209 | +! |
| 210 | +! |
| 211 | + do jj = 1, n_jk_e |
| 212 | + g6 = g_sph_rlm(2*jj+jst-1,6) |
| 213 | + do kk = 1, nkr |
| 214 | + scl_e(kk,jj) = scl_e(kk,jj) * g6 |
| 215 | + end do |
| 216 | + end do |
| 217 | + do jj = 1, n_jk_o |
| 218 | + g6 = g_sph_rlm(2*jj+jst,6) |
| 219 | + do kk = 1, nkr |
| 220 | + scl_o(kk,jj) = scl_o(kk,jj) * g6 |
| 221 | + end do |
| 222 | + end do |
| 223 | +! |
| 224 | + do kk = 1, nkr |
| 225 | + kr_nd = kk + kst |
| 226 | + k_rlm = 1 + mod((kr_nd-1),nidx_rlm(1)) |
| 227 | + nd = 1 + (kr_nd - k_rlm) / nidx_rlm(1) |
| 228 | + do jj = 1, n_jk_o |
| 229 | + ie_rlm = 1 + (2*jj+jst-2) * istep_rlm(2) & |
| 230 | + & + (k_rlm-1) * istep_rlm(1) |
| 231 | + io_rlm = 1 + (2*jj+jst-1) * istep_rlm(2) & |
| 232 | + & + (k_rlm-1) * istep_rlm(1) |
| 233 | + ie_send = nd + 3*nvector + (irev_sr_rlm(ie_rlm) - 1) * ncomp |
| 234 | + io_send = nd + 3*nvector + (irev_sr_rlm(io_rlm) - 1) * ncomp |
| 235 | +! |
| 236 | + WS(ie_send) = WS(ie_send) + scl_e(kk,jj) |
| 237 | + WS(io_send) = WS(io_send) + scl_o(kk,jj) |
| 238 | + end do |
| 239 | +! |
| 240 | + do jj = n_jk_o+1, n_jk_e |
| 241 | + ie_rlm = 1 + (2*jj+jst-2) * istep_rlm(2) & |
| 242 | + & + (k_rlm-1) * istep_rlm(1) |
| 243 | + ie_send = nd + 3*nvector + (irev_sr_rlm(ie_rlm) - 1) * ncomp |
| 244 | + WS(ie_send) = WS(ie_send) + scl_e(kk,jj) |
| 245 | + end do |
| 246 | + end do |
| 247 | +! |
| 248 | + end subroutine cal_sp_rlm_scalar_sym_matmul |
| 249 | +! |
| 250 | +! ----------------------------------------------------------------------- |
| 251 | +! |
| 252 | + end module cal_sp_rlm_sym_matmul |
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