From 86150abb6bdfd32cb5d9e7d143a1d2ca7891b4ac Mon Sep 17 00:00:00 2001 From: Jake Halpern Date: Sat, 14 Feb 2026 11:09:59 -0500 Subject: [PATCH 1/2] JPEC - IMPROVEMENT - removal of all fortran code, wrappers, documentation, builds, etc. --- .github/copilot-instructions.md | 11 +- .github/workflows/copilot-setup-steps.yaml | 24 +- CLAUDE.md | 37 +- .../euler_fortran_julia_comparison.ipynb | 531 - .../vacuum_accuracy_benchmark.jl | 270 - .../vacuum_speed_benchmark.jl | 156 - .../vacuum_accuracy_benchmark.jl | 252 - deps/build.jl | 14 - deps/build_helpers.jl | 71 - docs/src/set_up.md | 38 +- .../vacuum_wall_debug.jl | 61 - notebooks/data/fortran_rzphi_knots.dat | 33154 ---------------- notebooks/data/fortran_sq_knots.dat | 130 - notebooks/vacuum_fortran_example.ipynb | 91 - src/JPEC.jl | 3 - src/Vacuum/Vacuum.jl | 190 +- src/Vacuum/fortran/TESTVAC.f | 375 - src/Vacuum/fortran/ahg2msc.out | 345 - src/Vacuum/fortran/bzio.c | 319 - src/Vacuum/fortran/makefile | 51 - src/Vacuum/fortran/test_kernel_data.f | 730 - .../fortran/test_kernel_grdgre_output.txt | 1034 - .../fortran/test_kernel_gren_output.txt | 513 - src/Vacuum/fortran/vac.in | 99 - src/Vacuum/fortran/vacuum_global.f | 290 - src/Vacuum/fortran/vacuum_io.f | 573 - src/Vacuum/fortran/vacuum_ma.f | 1055 - src/Vacuum/fortran/vacuum_math.f | 1924 - src/Vacuum/fortran/vacuum_penn.f | 103 - src/Vacuum/fortran/vacuum_sprk2.f | 488 - src/Vacuum/fortran/vacuum_ut.f | 1501 - src/Vacuum/fortran/vacuum_vac.f | 2549 -- test/runtests.jl | 1 - test/runtests_build.jl | 11 - 34 files changed, 25 insertions(+), 46969 deletions(-) delete mode 100644 benchmarks/DIIID_ideal_example/euler_fortran_julia_comparison.ipynb delete mode 100644 benchmarks/DIIID_ideal_example/vacuum_accuracy_benchmark.jl delete mode 100644 benchmarks/DIIID_ideal_example/vacuum_speed_benchmark.jl delete mode 100644 benchmarks/Solovev_ideal_example/vacuum_accuracy_benchmark.jl delete mode 100644 deps/build.jl delete mode 100644 deps/build_helpers.jl delete mode 100644 examples/Solovev_ideal_example/vacuum_wall_debug.jl delete mode 100644 notebooks/data/fortran_rzphi_knots.dat delete mode 100644 notebooks/data/fortran_sq_knots.dat delete mode 100644 notebooks/vacuum_fortran_example.ipynb delete mode 100644 src/Vacuum/fortran/TESTVAC.f delete mode 100644 src/Vacuum/fortran/ahg2msc.out delete mode 100644 src/Vacuum/fortran/bzio.c delete mode 100644 src/Vacuum/fortran/makefile delete mode 100644 src/Vacuum/fortran/test_kernel_data.f delete mode 100644 src/Vacuum/fortran/test_kernel_grdgre_output.txt delete mode 100644 src/Vacuum/fortran/test_kernel_gren_output.txt delete mode 100644 src/Vacuum/fortran/vac.in delete mode 100644 src/Vacuum/fortran/vacuum_global.f delete mode 100644 src/Vacuum/fortran/vacuum_io.f delete mode 100644 src/Vacuum/fortran/vacuum_ma.f delete mode 100644 src/Vacuum/fortran/vacuum_math.f delete mode 100644 src/Vacuum/fortran/vacuum_penn.f delete mode 100644 src/Vacuum/fortran/vacuum_sprk2.f delete mode 100644 src/Vacuum/fortran/vacuum_ut.f delete mode 100644 src/Vacuum/fortran/vacuum_vac.f delete mode 100644 test/runtests_build.jl diff --git a/.github/copilot-instructions.md b/.github/copilot-instructions.md index c27c5b3b..197ee464 100644 --- a/.github/copilot-instructions.md +++ b/.github/copilot-instructions.md @@ -1,15 +1,13 @@ # Copilot instructions for JPEC ## Project overview -- JPEC is a Julia/Fortran hybrid port of GPEC for MHD equilibrium and stability analysis. Core modules live in [src](src): Splines, Equilibrium, Vacuum, DCON (see [CLAUDE.md](CLAUDE.md)). +- JPEC is a Julia port of GPEC-style MHD equilibrium and stability analysis. Core modules live in [src](src): Utilities, Equilibrium, Vacuum, ForceFreeStates, ForcingTerms, PerturbedEquilibrium (see [CLAUDE.md](CLAUDE.md)). - Data flow: equilibrium setup → vacuum response → stability analysis (documented in [CLAUDE.md](CLAUDE.md)). -- Vacuum is mid-conversion from Fortran to Julia; Fortran libraries are built and called via `ccall` (see [deps/build.jl](deps/build.jl)). ## Architecture and entry points - Equilibrium: `setup_equilibrium(path|config)`; types in [src/Equilibrium](src/Equilibrium). -- Vacuum: `compute_vacuum_response()` (Julia) and `mscvac()` (Fortran); code in [src/Vacuum](src/Vacuum) and [src/Vacuum/fortran](src/Vacuum/fortran). +- Vacuum: `compute_vacuum_response()`; code in [src/Vacuum](src/Vacuum). - DCON stability: entry points in [src/DCON/Main.jl](src/DCON/Main.jl). -- Splines: Julia + Fortran implementations in [src/Splines](src/Splines). ## Data flow and key structures - Equilibrium: TOML config → read equilibrium → solve → diagnostics (gse*.h5) when relevant. @@ -42,11 +40,6 @@ - Avoid step numbering in comments; instructions should be unnumbered (see [CLAUDE.md](CLAUDE.md)). - Many routines use 0-based indexing to mirror Fortran conventions before converting to 1-based Julia (see [CLAUDE.md](CLAUDE.md)). -## Fortran integration notes -- Builds configured in [deps/build.jl](deps/build.jl) and [deps/build_helpers.jl](deps/build_helpers.jl); macOS uses Accelerate and Linux uses OpenBLAS. -- `ccall` uses mangled names; see [src/Vacuum/Vacuum.jl](src/Vacuum/Vacuum.jl) and [src/Splines/CubicSpline.jl](src/Splines/CubicSpline.jl) for patterns. -- Add new Fortran builds via `build_*_fortran()` in [deps/build_helpers.jl](deps/build_helpers.jl). - ## Configuration examples - TOML configs: `equil.toml` uses `[EQUIL_CONTROL]` and `[EQUIL_OUTPUT]`; `dcon.toml` uses `[DCON_CONTROL]` and `[WALL]`. - Example configs in [examples/DIIID-like_ideal_example](examples/DIIID-like_ideal_example) and [examples/Solovev_ideal_example](examples/Solovev_ideal_example). diff --git a/.github/workflows/copilot-setup-steps.yaml b/.github/workflows/copilot-setup-steps.yaml index 0c45e62f..d15b5a4b 100644 --- a/.github/workflows/copilot-setup-steps.yaml +++ b/.github/workflows/copilot-setup-steps.yaml @@ -3,9 +3,9 @@ name: "Copilot Setup Steps" # Automatically run the setup steps when they are changed to allow for easy validation, # and allow manual testing through the repository's "Actions" tab on: - workflow_dispatch: + workflow_dispatch: push: - paths: + paths: - .github/workflows/copilot-setup-steps.yml pull_request: paths: @@ -13,22 +13,22 @@ on: jobs: # The job MUST be called `copilot-setup-steps` or it will not be picked up by Copilot - copilot-setup-steps: + copilot-setup-steps: runs-on: ubuntu-latest - + # Set the permissions to the lowest permissions possible needed for your steps permissions: contents: read - + steps: - name: Checkout code uses: actions/checkout@v4 - + - name: Set up Julia uses: julia-actions/setup-julia@v2 with: version: '1.11' - + - name: Cache Julia packages uses: julia-actions/cache@v2 with: @@ -36,14 +36,14 @@ jobs: cache-packages: true cache-artifacts: true cache-registries: true - - - name: Install Fortran compiler (for Fortran dependencies) + + - name: Install system dependencies run: | sudo apt-get update - sudo apt-get install -y gfortran libopenblas-dev - + sudo apt-get install -y libopenblas-dev + - name: Build Julia project run: julia --project="." -e "using Pkg; Pkg.build()" - + - name: Instantiate Julia environment run: julia --project="." -e "using Pkg; Pkg.instantiate()" diff --git a/CLAUDE.md b/CLAUDE.md index 6744e76f..6367a2f7 100644 --- a/CLAUDE.md +++ b/CLAUDE.md @@ -10,7 +10,7 @@ JPEC (Julia Perturbed Equilibrium Code) is a comprehensive Julia implementation **Local GPEC Repository**: For code conversion or comparison with the original Fortran implementation, check for a local GPEC repository at `~/Code/gpec`. If not found at this location, ask the user for the correct path. -JPEC is a hybrid Julia/Fortran implementation with active Julia development alongside legacy Fortran code called via ccall. The Fortran-to-Julia conversion is largely complete, with pure Julia implementations available for all major components. +JPEC is implemented in Julia. References to “Fortran GPEC” or “legacy VACUUM” refer to the original upstream codebase, not a runtime dependency of JPEC. **Current Development Focus**: The `perturbed_equilibrium` branch is implementing full GPEC-style perturbed equilibrium functionality, including singular coupling analysis, island formation diagnostics, and mode-space field reconstruction. @@ -120,19 +120,14 @@ JPEC will eventually port the PENTRC (Perturbed Equilibrium Neoclassical Toroida ### Building and Testing ```bash -# Run all tests (includes building Fortran) -julia --project=. -e 'using Pkg; Pkg.activate("."); Pkg.build(); Pkg.instantiate(); include("test/runtests.jl")' - -# Build Fortran libraries only -julia --project=. -e 'using Pkg; Pkg.activate("."); Pkg.build()' +# Run all tests +julia --project=. -e 'using Pkg; Pkg.activate("."); Pkg.instantiate(); include("test/runtests.jl")' # Run specific test file -julia --project=. test/runtests.jl test/runtests_spline.jl +julia --project=. test/runtests.jl test/runtests_solovev.jl # Available test files: -# - test/runtests_build.jl # Fortran build verification -# - test/runtests_spline.jl # Spline interpolation -# - test/runtests_vacuum_fortran.jl # Fortran vacuum module + # - test/runtests_vacuum_julia.jl # Julia vacuum module # - test/runtests_solovev.jl # Analytical equilibrium # - test/runtests_ode.jl # ODE integration @@ -258,12 +253,10 @@ JPEC consists of **seven main modules** organized in `src/`: - Calculates both **interior** (grri) and **exterior** (grre) Green's functions - Main functions: - `compute_vacuum_response()` - Pure Julia implementation - - `mscvac()` - Legacy Fortran interface via ccall - Key files: - `VacuumStructs.jl` - Data structures - `VacuumInternals.jl` - Core algorithms - `VacuumFromEquilibrium.jl` - Integration with equilibrium data - - Fortran code in `src/Vacuum/fortran/` - Status: **Pure Julia implementation complete and available** 5. **ForceFreeStates** (`src/ForceFreeStates/`) - Ideal MHD stability analysis (DCON-style) @@ -409,26 +402,6 @@ JPEC └── PerturbedEquilibrium (uses ForceFreeStates, Vacuum, ForcingTerms, Utilities) ``` -### Fortran Integration - -The build system compiles Fortran code into shared libraries for performance-critical routines: - -- Build configuration in `deps/build.jl` and `deps/build_helpers.jl` -- OS-specific compiler flags: - - macOS: Uses Accelerate framework - - Linux: Uses OpenBLAS -- Current Fortran modules: Splines, Vacuum -- Compiled libraries: - - `libspline.dylib` / `libspline.so` - - `libvac.dylib` / `libvac.so` -- Platform support: **macOS and Linux only** (Windows unsupported, use WSL) -- Add new Fortran builds by creating `build_*_fortran()` functions in `deps/build_helpers.jl` - -**Fortran-to-Julia Conversion Status**: -- ✅ Vacuum module: Pure Julia implementation complete -- ✅ Splines: Both implementations available for validation -- 🔄 Both implementations maintained for testing and verification - ## Git Workflow This project uses GitFlow: diff --git a/benchmarks/DIIID_ideal_example/euler_fortran_julia_comparison.ipynb b/benchmarks/DIIID_ideal_example/euler_fortran_julia_comparison.ipynb deleted file mode 100644 index 85e8c82d..00000000 --- a/benchmarks/DIIID_ideal_example/euler_fortran_julia_comparison.ipynb +++ /dev/null @@ -1,531 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "0", - "metadata": {}, - "source": [ - "## Overview\n", - "In this notebook, we will demonstrate that the outputs of JPEC are equivalent to those in the Fortran DCON by comparing the eigenmodes of the DIIID ideal example" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1", - "metadata": {}, - "outputs": [], - "source": [ - "# Load in necessary packages\n", - "using Pkg\n", - "using FortranFiles\n", - "using LinearAlgebra\n", - "using HDF5\n", - "using Plots\n", - "using LaTeXStrings" - ] - }, - { - "cell_type": "markdown", - "id": "2", - "metadata": {}, - "source": [ - "## Load in Fortran data\n", - "\n", - "For convenience, we have saved the Fortran `euler.bin` file here for comparison. Below, we write a Julia version of the logic within `idcon.f` in GPEC, which reads in the `euler.bin` data and converts it to usable form" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "3", - "metadata": {}, - "outputs": [], - "source": [ - "# Mirroring gpec solution structs from fortran idcon.f\n", - "# Stores solutions read directly from output file\n", - "struct solution_type\n", - " msol :: Int32\n", - " u :: Array{ComplexF64,3}\n", - "end\n", - "\n", - "# Stores information for resistive calculations\n", - "struct resist_type\n", - " e :: Float64\n", - " f :: Float64\n", - " h :: Float64\n", - " m :: Float64\n", - " g :: Float64\n", - " k :: Float64\n", - " eta :: Float64\n", - " rho :: Float64\n", - " taua :: Float64\n", - " taur :: Float64\n", - " di :: Float64\n", - " dr :: Float64\n", - " sfac :: Float64\n", - " deltac :: Float64\n", - " eigenvalue :: ComplexF64\n", - "end\n", - "\n", - "# Stores information about singular surfaces\n", - "struct sing_type\n", - " msol_l :: Int32\n", - " msol_r :: Int32\n", - " jfix :: Int32\n", - " jpert :: Int32\n", - " psifac :: Float64\n", - " q :: Float64\n", - " q1 :: Float64\n", - " ca_l :: Array{ComplexF64,3}\n", - " ca_r :: Array{ComplexF64,3}\n", - " restype :: resist_type\n", - "end\n", - "\n", - "# Stores fixfacs\n", - "mutable struct fixfac_type\n", - " msol :: Int32\n", - " index :: Vector{Int32}\n", - " fixfac :: Array{ComplexF64,2}\n", - " transform :: Array{ComplexF64,2}\n", - " gauss :: Array{ComplexF64,2}\n", - " function fixfac_type(msol::Int32, index::Vector{Int32},fixfac::Array{ComplexF64,2})\n", - " transform = Matrix{ComplexF64}(I,msol,msol)\n", - " gauss = Matrix{ComplexF64}(I,msol,msol)\n", - " new(msol,index,fixfac,transform,gauss)\n", - " end\n", - "end\n", - "\n", - "# Sets up fixfacs to recover true eigenmodes - Julia conversion of the idcon_transform subroutine in GPEC\n", - "function idcon_transform(fixtype, sing_flag)\n", - " \n", - " msol = length(fixtype[2].index)\n", - " mfix = length(fixtype)-1\n", - " identity = Matrix{ComplexF64}(I,msol,msol)\n", - "\n", - " # Construct gaussian reduction matrix\n", - " for ifix in 2:1:mfix+1\n", - " fixtype[ifix].gauss = copy(identity)\n", - " mask = zeros(Bool, msol)\n", - " mask .= true\n", - " for isol in 1:msol\n", - " ksol = fixtype[ifix].index[isol]\n", - " mask[ksol] = false\n", - " temp = copy(identity)\n", - " for jsol in 1:msol\n", - " if mask[jsol]\n", - " temp[ksol,jsol] = fixtype[ifix].fixfac[ksol,jsol]\n", - " end\n", - " end\n", - " # Matrix multiplication gauss = gauss * temp\n", - " fixtype[ifix].gauss = fixtype[ifix].gauss * temp\n", - " end\n", - " if sing_flag[ifix-1]\n", - " fixtype[ifix].gauss[:,fixtype[ifix].index[1]] .= 0.0\n", - " end\n", - " end\n", - " \n", - " # Concatenate gaussian reduction matrix\n", - " fixtype[mfix+1].transform = copy(identity)\n", - " for ifix in mfix:-1:1\n", - " fixtype[ifix].transform = fixtype[ifix+1].gauss * fixtype[ifix+1].transform\n", - " end\n", - " return fixtype\n", - "end" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4", - "metadata": {}, - "outputs": [], - "source": [ - "# Euler.bin file from gpec develop branch for comparison\n", - "fstream = FortranFile(\"euler.bin\", \"r\")\n", - "\n", - "# --- Read header ---\n", - "mlow, mhigh, nn, mpsi, mtheta, ro, zo = read(fstream, Int32, Int32, Int32, Int32, Int32, Float64, Float64)\n", - "mband, mthsurf0, mthvac, psio, psilow, psilim, qlim, singfac_min = read(fstream, Int32, Float64, Int32, Float64, Float64, Float64, Float64, Float64)\n", - "power_b, power_r, power_bp = read(fstream, Int32, Int32, Int32)\n", - "kin_flag, con_flag = read(fstream, Int32, Int32)\n", - "\n", - "amean, rmean, aratio, kappa, delta1, delta2, \n", - " li1, li2, li3, betap1, betap2, betap3, betat, betan, bt0, \n", - " q0, qmin, qmax, qa, crnt, q95, shotnum, shottime = read(fstream, \n", - " Float64, Float64, Float64, Float64, Float64, Float64,\n", - " Float64, Float64, Float64, Float64, Float64, Float64,\n", - " Float64, Float64, Float64, Float64, Float64, Float64,\n", - " Float64, Float64, Float64, Float64, Float64)\n", - "\n", - "# --- Read equilibrium on flux coordinates ---\n", - "# sq%xs is size mpsi, sq%fs is size mpsi x 4, sq%fs1 is size mpsi x 4, sq%xpower is size 2 x 4\n", - "sq_xs, sq_fs, sq_fs1, sq_xpower = read(fstream, (Float64, mpsi), (Float64, (mpsi,4)), (Float64, (mpsi,4)), (Float64, (2,4)))\n", - "# rzphi%xs is size mpsi, rzphi%ys is size mtheta, rzphi%fs is size mpsi x mtheta, etc.\n", - "rzphi_xs, rzphi_ys, \n", - " rzphi_fs, rzphi_fsx, rzphi_fsy, rzphi_fsxy, \n", - " rzphi_x0, rzphi_y0, rzphi_xpower, rzphi_ypower = read(fstream, \n", - " (Float64, mpsi), (Float64, mtheta), \n", - " (Float64, (mpsi,mtheta,4)), (Float64, (mpsi,mtheta,4)), (Float64, (mpsi,mtheta,4)), (Float64, (mpsi,mtheta,4)),\n", - " (Float64, 2), (Float64, 2), (Float64, (2,4)), (Float64, (2,4)))\n", - "\n", - "# misc derived quantities\n", - "chi1=2π*psio\n", - "mpert=mhigh-mlow+1\n", - "\n", - "# --- Count solutions in file (first pass) ---\n", - "mstep = -1\n", - "mfix = 0\n", - "msing = 0\n", - "\n", - "while !eof(fstream)\n", - " data_type = read(fstream, Int32)\n", - " if data_type == 1\n", - " mstep += 1\n", - " read(fstream) # skip\n", - " read(fstream)\n", - " read(fstream)\n", - " elseif data_type == 2\n", - " mfix += 1\n", - " read(fstream)\n", - " read(fstream)\n", - " elseif data_type == 3\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " elseif data_type == 4\n", - " msing += 1\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " elseif data_type == 5\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " read(fstream)\n", - " else\n", - " error(\"Cannot recognize data_type = $data_type\")\n", - " end\n", - "end\n", - "close(fstream)\n", - "\n", - "# --- Allocate arrays ---\n", - "psifac = zeros(Float64, mstep+1)\n", - "rhofac = zeros(Float64, mstep+1)\n", - "qfac = zeros(Float64, mstep+1)\n", - "\n", - "soltype = Vector{solution_type}(undef, mstep+1)\n", - "singtype = Vector{sing_type}(undef, msing)\n", - "fixstep = zeros(Int32, mfix+2)\n", - "sing_flag = zeros(Bool, mfix)\n", - "fixtype = Vector{fixfac_type}(undef, mfix+1)\n", - "\n", - "# Initialize first fixfac\n", - "fixtype[1] = fixfac_type(Int32(0), zeros(Int32, 0), zeros(ComplexF64, 0, 0))\n", - "\n", - "et = zeros(ComplexF64, mpert)\n", - "ep = zeros(ComplexF64, mpert)\n", - "ee = zeros(ComplexF64, mpert)\n", - "wt = zeros(ComplexF64, (mpert,mpert))\n", - "wt0 = zeros(ComplexF64, (mpert,mpert))\n", - "wft = zeros(ComplexF64, (mpert,mpert))\n", - "eft = zeros(ComplexF64, mpert)\n", - "efp = zeros(ComplexF64, mpert)\n", - "wtraw = zeros(ComplexF64, (mpert,mpert))\n", - "\n", - "eft .= -1\n", - "wft .= 0\n", - "fixstep[1] = 0\n", - "fixstep[mfix+2] = mstep\n", - "\n", - "fstream = FortranFile(\"euler.bin\", \"r\")\n", - "# --- Read header again ---\n", - "mlow, mhigh, nn, mpsi, mtheta, ro, zo = read(fstream, Int32, Int32, Int32, Int32, Int32, Float64, Float64)\n", - "mband, mthsurf0, mthvac, psio, psilow, psilim, qlim, singfac_min = read(fstream, Int32, Float64, Int32, Float64, Float64, Float64, Float64, Float64)\n", - "power_b, power_r, power_bp = read(fstream, Int32, Int32, Int32)\n", - "kin_flag, con_flag = read(fstream, Int32, Int32)\n", - "istep = -1\n", - "ifix = 0\n", - "ising = 0\n", - "\n", - "while !eof(fstream)\n", - " data_type = read(fstream, Int32)\n", - " if data_type == 1\n", - " istep += 1\n", - " psifac[istep+1], qfac[istep+1], msoli = read(fstream, Float64, Float64, Int32)\n", - " u = Array{ComplexF64}(undef,(mpert,msoli,4))\n", - " u[:,:,1:2] = read(fstream, (ComplexF64,(mpert,msoli,2)))\n", - " u[:,:,3:4] = read(fstream, (ComplexF64,(mpert,msoli,2)))\n", - " soltype[istep+1] = solution_type(msoli,u)\n", - " elseif data_type == 2\n", - " ifix += 1\n", - " fixstep[ifix+1] = istep\n", - " sing_flag[ifix], msoli = read(fstream, Int32, Int32)\n", - " fixfac, index = read(fstream, (ComplexF64,(msoli,msoli)),(Int32,msoli))\n", - " fixtype[ifix+1] = fixfac_type(msoli,index,fixfac)\n", - " elseif data_type == 3\n", - " ep = read(fstream,(ComplexF64,mpert))\n", - " et = read(fstream,(ComplexF64,mpert))\n", - " wt = read(fstream,(ComplexF64,(mpert,mpert)))\n", - " wt0 = read(fstream,(ComplexF64,(mpert,mpert)))\n", - " wv_farwall_flag = read(fstream, Int32)\n", - " elseif data_type == 4\n", - " ising += 1\n", - " jfixi = ifix\n", - " jperti = round(Int32, nn*qfac[istep+1] + 0.5)\n", - " psifaci, qi, q1i = read(fstream, Float64, Float64, Float64)\n", - " msol_l = read(fstream, Int32)\n", - " ca_l = read(fstream, (ComplexF64,(mpert,msol_l,2)))\n", - " msol_r = read(fstream, Int32)\n", - " ca_r = read(fstream, (ComplexF64,(mpert,msol_r,2)))\n", - " e, f, h, m, g, k, eta, rho, taua, taur = read(fstream, Float64, Float64, Float64, Float64, Float64, Float64, Float64, Float64, Float64, Float64)\n", - " elseif data_type == 5\n", - " ep = read(fstream,(ComplexF64,mpert))\n", - " et = read(fstream,(ComplexF64,mpert))\n", - " wt = read(fstream,(ComplexF64,(mpert,mpert)))\n", - " efp = read(fstream,(Float64,mpert))\n", - " eft = read(fstream,(Float64,mpert))\n", - " wft = read(fstream,(ComplexF64,(mpert,mpert)))\n", - " wtraw = read(fstream,(ComplexF64,(mpert,mpert)))\n", - " else\n", - " # for all the reads we skipped in the second pass\n", - " print()\n", - " end\n", - "end\n", - "fixstep .+= 1 # Fortran indexes from 0 for steps, adjust\n", - "close(fstream)\n", - "\n", - "# Set up fortran fixfacs\n", - "fixfacproc = idcon_transform(fixtype, sing_flag)\n", - "\n", - "println(\"Done reading euler.bin\")" - ] - }, - { - "cell_type": "markdown", - "id": "5", - "metadata": {}, - "source": [ - "## Load in Julia data\n", - "We will run the main DCON code on the same inputs. We output the `jpec.h5` file, which is a Julia version of the `euler.bin` file." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6", - "metadata": {}, - "outputs": [], - "source": [ - "# Run\n", - "Pkg.activate(\"../..\")\n", - "using JPEC\n", - "JPEC.main([\"./\"]) # \"./\" tells us to obtain inputs and direct outputs to our current folder" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7", - "metadata": {}, - "outputs": [], - "source": [ - "# Read in from julia hdf5 for comparison\n", - "eh5 = h5open(\"jpec.h5\", \"r\")\n", - "mstepj = read(eh5[\"integration/nstep\"])\n", - "xi_psij = read(eh5[\"integration/xi_psi\"])\n", - "psifacj = read(eh5[\"integration/psi\"])\n", - "psioj = read(eh5[\"equil/psio\"])\n", - "wtj = read(eh5[\"vacuum/wt\"])\n", - "close(eh5)\n", - "\n", - "# scale energy eigenvector matrices\n", - "chi1j = 2π*psioj\n", - "wtf = wt*(chi1*1e-3)\n", - "wtj = wtj*(chi1j*1e-3)\n", - "println(\"Done reading jpec.h5\")" - ] - }, - { - "cell_type": "markdown", - "id": "8", - "metadata": {}, - "source": [ - "# Compare Outputs\n", - "We will now perform the equivalent `idcon_build`, which builds the ideal Euler-Langrange solutions for a given eigenmode. We have performed the transformation and scaling necessary to obtain the physical quantities ($\\Xi_\\Psi, \\Xi_s$ etc. ) typically calculated in GPEC preprocessing in `idcon.f` and saved them in the HDF5 file. Notice how this makes the Julia outputs postprocessing much simpler, as we don't need to call `idcon_transform` or `idcon_build` in this notebook." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9", - "metadata": {}, - "outputs": [], - "source": [ - "xi_psif = zeros(ComplexF64, (mstep+1,mpert))\n", - "\n", - "# Construct uedge coefficients using the most unstable mode (index 1)\n", - "uedgef = soltype[length(soltype)].u[:,:,1] \\ wtf[:,1]\n", - "\n", - "# Create Fortran eigenfunctions\n", - "jfix = 1\n", - "for ifix in 1:mfix+1\n", - " temp1 = fixtype[ifix].transform * uedgef\n", - " kfix = fixstep[ifix+1]\n", - " for istep in jfix:kfix\n", - " xi_psif[istep,:] = soltype[istep].u[:,:,1] * temp1\n", - " end\n", - " jfix = kfix + 1\n", - "end" - ] - }, - { - "cell_type": "markdown", - "id": "10", - "metadata": {}, - "source": [ - "## Plots" - ] - }, - { - "cell_type": "markdown", - "id": "11", - "metadata": {}, - "source": [ - "### Plot comparison of xi_psi for a few poloidal mode numbers" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "12", - "metadata": {}, - "outputs": [], - "source": [ - "p = plot()\n", - "# In the Julia output, xi_psij is indexed as (mpert, nmode, nstep), so we extract nmode=1 for the least stable mode\n", - "for m in 1:4\n", - " plot!(psifac, imag.(xi_psif[:,m - mlow + 1]), label=\"Fortran, m=$m\")\n", - " plot!(psifacj, imag.(xi_psij[m - mlow + 1, 1, :]), linestyle=:dash, label=\"Julia, m=$m\")\n", - "end\n", - "xlabel!(L\"\\psi_N\")\n", - "ylabel!(L\"\\mathrm{Im}(\\xi_\\psi)\")\n", - "title!(\"Comparison of \" * L\"\\xi_\\psi\" * \" for \" * \"m=1-4\")\n", - "display(p)" - ] - }, - { - "cell_type": "markdown", - "id": "13", - "metadata": {}, - "source": [ - "### Plot comparison of psifac integration\n", - "We can see that in this scenario, the Julia integrator is actually more efficient than LSODE in Fortran. One reason is because we can see LSODE is extremely jumpy around solution normalizations, and slows down directly after these regions." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "14", - "metadata": {}, - "outputs": [], - "source": [ - "p = plot(psifac, label=\"Fortran\")\n", - "# plot vertical line at each fixstep\n", - "for ifix in 2:1:mfix+1\n", - " vline!([fixstep[ifix]+1], linestyle=:dash, color=:black, label=\"\", linewidth=0.25, alpha=0.5)\n", - "end\n", - "plot!(psifacj, linestyle=:dash, label=\"Julia\")\n", - "xaxis!(\"ODE step index\")\n", - "yaxis!(L\"\\psi_N\")\n", - "display(p)" - ] - }, - { - "cell_type": "markdown", - "id": "15", - "metadata": {}, - "source": [ - "### Compare the eigenvectors of each DCON energy matrix eigenmode" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "16", - "metadata": {}, - "outputs": [], - "source": [ - "l = @layout [a{0.97w} b{0.03w}]\n", - "\n", - "# Determine the global minimum and maximum values for the color scale\n", - "global_min = minimum([minimum(log10.(abs.(wtf'))), minimum(log10.(abs.(wtj'))), minimum(log10.(abs.((wtf'-wtj'))))])\n", - "global_max = maximum([maximum(log10.(abs.(wtf'))), maximum(log10.(abs.(wtj'))), maximum(log10.(abs.((wtf'-wtj'))))])\n", - "\n", - "# Common axis labels\n", - "xlabel = \"m\"\n", - "ylabel = \"mode\"\n", - "\n", - "# Create the heatmaps without individual colorbars\n", - "p1 = heatmap(\n", - " log10.(abs.(wtf')), \n", - " aspect_ratio=1, \n", - " title=\"Fortran \" * L\"log_{10} |W_t|\", \n", - " xlabel=xlabel, ylabel=ylabel,\n", - " size=(400,400), interpolate=false, fxaa=false, \n", - " color=:viridis, clims=(global_min, global_max), colorbar=false, left_margin=5Plots.mm, bottom_margin=5Plots.mm, top_margin=5Plots.mm, right_margin=2Plots.mm\n", - ")\n", - "\n", - "p2 = heatmap(\n", - " log10.(abs.(wtj')), \n", - " aspect_ratio=1, \n", - " title=\"Julia \" * L\"log_{10} |W_t|\", \n", - " xlabel=xlabel, ylabel=ylabel,\n", - " size=(400,400), interpolate=false, fxaa=false, \n", - " color=:viridis, clims=(global_min, global_max), colorbar=false, left_margin=5Plots.mm, bottom_margin=5Plots.mm, top_margin=5Plots.mm, right_margin=2Plots.mm\n", - ")\n", - "\n", - "p3 = heatmap(\n", - " log10.(abs.((wtf'-wtj'))), \n", - " aspect_ratio=1, \n", - " title=L\"log_{10} \\left|W_{tf} - W_{tj}\\right|\", \n", - " xlabel=xlabel, ylabel=ylabel,\n", - " size=(400,400), interpolate=false, fxaa=false, \n", - " color=:viridis, clims=(global_min, global_max), colorbar=false, left_margin=5Plots.mm, bottom_margin=5Plots.mm, top_margin=5Plots.mm, right_margin=2Plots.mm\n", - ")\n", - "\n", - "# Add a single color bar to the right of the combined plots\n", - "cb = heatmap(\n", - " zeros(2,2), \n", - " color=:viridis, clims=(global_min, global_max), \n", - " colorbar=true, framestyle=:none, \n", - " xaxis=false, yaxis=false, \n", - " size=(40,400), right_margin=5Plots.mm, left_margin=0Plots.mm, \n", - " lims=(-1,0)\n", - ")\n", - "\n", - "# Combine the plots with a single shared color bar on the right\n", - "p = plot(p1, p2, p3, layout=(1,3), size=(1200,400), margin=0Plots.mm)\n", - "pp = plot(p, cb, layout=l, size=(1300,400), margin=0Plots.mm)\n", - "display(pp)" - ] - } - ], - "metadata": { - "language_info": { - "file_extension": ".jl", - "mimetype": "application/julia", - "name": "julia" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/benchmarks/DIIID_ideal_example/vacuum_accuracy_benchmark.jl b/benchmarks/DIIID_ideal_example/vacuum_accuracy_benchmark.jl deleted file mode 100644 index 07e379a2..00000000 --- a/benchmarks/DIIID_ideal_example/vacuum_accuracy_benchmark.jl +++ /dev/null @@ -1,270 +0,0 @@ -using JLD2 -using Pkg -using Plots -using LinearAlgebra - -Pkg.activate("$(@__DIR__)/../.."); using JPEC - -# this requires you to have run the DIIID-like_ideal_example first to generate the benchmark inputs -@load "$(@__DIR__)/../../examples/DIIID-like_ideal_example/benchmark_inputs.jld2" benchmark_inputs - -(; wv_block, mpert, mtheta_eq, mthvac, complex_flag, kernelsign, - wall_flag, farwall_flag, grri, xzpts, ahg_file, dir_path, - vac_inputs, wall_settings, - n, ipert_n, psifac) = benchmark_inputs - -""" -Compute 0D accuracy metrics between two wv matrices -Returns: (relative_frobenius_norm, max_absolute_error, frobenius_norm) -""" -function compute_accuracy_metrics(wv_test::Matrix, wv_ref::Matrix) - diff = wv_test - wv_ref - frobenius_norm = norm(diff) - relative_frobenius = frobenius_norm / norm(wv_ref) - max_abs_error = maximum(abs.(diff)) - return relative_frobenius, max_abs_error, frobenius_norm -end - -benchmark_n = true -benchmark_m = false - -if benchmark_n - println("="^60) - println("VACUUM ACCURACY BENCHMARK: Varying n") - println("="^60) - - # Define range of n values to test - n_values = range(1,15, step=1) - # Store results for Julia vs Fortran comparison - relative_errors_jf = Float64[] - max_errors_jf = Float64[] - frobenius_norms_jf = Float64[] - - # Run accuracy benchmarks for each n value - for n_test in n_values - println("Testing n = $n_test") - - # Compute Fortran solution - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, vac_inputs.mhigh, - n_test, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - wv_block_fortran = copy(wv_block) - JPEC.Vacuum.mscvac(wv_block_fortran, mpert, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri, xzpts) - - JPEC.Vacuum.unset_surface_params() - - # Compute Julia solution - vac_inputs_test = deepcopy(vac_inputs) - vac_inputs_test.n = n_test - wv_block_julia, _, _ = JPEC.Vacuum.compute_vacuum_response(vac_inputs_test, wall_settings) - - # Julia vs Fortran comparison at same n - rel_err_jf, max_err_jf, frob_jf = compute_accuracy_metrics(wv_block_julia, wv_block_fortran) - push!(relative_errors_jf, rel_err_jf) - push!(max_errors_jf, max_err_jf) - push!(frobenius_norms_jf, frob_jf) - - println(" Julia vs Fortran: rel_err = $(rel_err_jf), max_err = $(max_err_jf)\n") - end - - # Create plots - println("Creating plots...") - - # Plot 1: Julia vs Fortran comparison - p1 = plot(n_values, relative_errors_jf, - label="Relative Frobenius Error", - marker=:circle, - xlabel="n (toroidal mode number)", - ylabel="Relative Error", - title="Julia vs Fortran Accuracy", - legend=:topright, - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box) - plot!(p1, n_values, max_errors_jf, - label="Max Absolute Error", - marker=:square, - linewidth=2) - - figloc1 = joinpath(@__DIR__, "vacuum_accuracy_julia_vs_fortran_n_scan.pdf") - savefig(p1, figloc1) - @info "Saved Julia vs Fortran n-scan comparison to $figloc1" - -end - -if benchmark_m - println("\n" * "="^60) - println("VACUUM ACCURACY BENCHMARK: Varying mhigh") - println("="^60) - - # Define range of mhigh values to test - mhigh_values = [8, 16, 24, 32] # 48 runs into memory errors on macbooks - mhigh_reference = 32 # High resolution reference - - # Store results for Julia vs Fortran comparison - relative_errors_jf_m = Float64[] - max_errors_jf_m = Float64[] - - # Store results for convergence analysis - relative_errors_julia_conv_m = Float64[] - relative_errors_fortran_conv_m = Float64[] - - # Compute reference solutions at high resolution - println("\nComputing reference solutions at mhigh = $mhigh_reference...") - - # Julia reference - vac_inputs_ref_julia_m = deepcopy(vac_inputs) - vac_inputs_ref_julia_m.mhigh = mhigh_reference - vac_inputs_ref_julia_m.mpert = mhigh_reference - vac_inputs_ref_julia_m.mlow - wv_ref_julia_m, _, _ = JPEC.Vacuum.compute_vacuum_response(vac_inputs_ref_julia_m, wall_settings) - - # Fortran reference - mpert_ref = mhigh_reference - vac_inputs.mlow - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, mhigh_reference, - 1, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - wv_block_ref_fortran_m = zeros(ComplexF64, mpert_ref, mpert_ref) - grri_ref = zeros(Float64, 2 * (mthvac + 5), 2 * mpert_ref) - JPEC.Vacuum.mscvac(wv_block_ref_fortran_m, mpert_ref, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri_ref, xzpts, ahg_file, "$(@__DIR__)/../../examples/DIIID-like_ideal_example") - JPEC.Vacuum.unset_surface_params() - - println("Reference solutions computed.\n") - - # Run accuracy benchmarks for each mhigh value - for mhigh_test in mhigh_values - println("Testing mhigh = $mhigh_test") - - mpert_test = mhigh_test - vac_inputs.mlow - - # Compute Fortran solution - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, mhigh_test, - 1, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - wv_block_fortran_m = zeros(ComplexF64, mpert_test, mpert_test) - grri_test = zeros(Float64, 2 * (mthvac + 5), 2 * mpert_test) - JPEC.Vacuum.mscvac(wv_block_fortran_m, mpert_test, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri_test, xzpts, ahg_file, "$(@__DIR__)/../../examples/DIIID-like_ideal_example") - - JPEC.Vacuum.unset_surface_params() - - # Compute Julia solution - vac_inputs_test_m = deepcopy(vac_inputs) - vac_inputs_test_m.mhigh = mhigh_test - vac_inputs_test_m.mpert = mpert_test - wv_block_julia_m, _, _ = JPEC.Vacuum.compute_vacuum_response(vac_inputs_test_m, wall_settings) - - # Comparison 1: Julia vs Fortran at same mhigh - rel_err_jf_m, max_err_jf_m, _ = compute_accuracy_metrics(wv_block_julia_m, wv_block_fortran_m) - push!(relative_errors_jf_m, rel_err_jf_m) - push!(max_errors_jf_m, max_err_jf_m) - - println(" Julia vs Fortran: rel_err = $(rel_err_jf_m)") - - # Comparison 2: Each vs its own high-resolution reference - # Need to extract the corresponding block from reference - idx_range = 1:mpert_test - wv_ref_julia_block = wv_ref_julia_m[idx_range, idx_range] - wv_ref_fortran_block = wv_block_ref_fortran_m[idx_range, idx_range] - - rel_err_julia_m, _, _ = compute_accuracy_metrics(wv_block_julia_m, wv_ref_julia_block) - rel_err_fortran_m, _, _ = compute_accuracy_metrics(wv_block_fortran_m, wv_ref_fortran_block) - - push!(relative_errors_julia_conv_m, rel_err_julia_m) - push!(relative_errors_fortran_conv_m, rel_err_fortran_m) - - println(" Julia convergence: rel_err = $(rel_err_julia_m)") - println(" Fortran convergence: rel_err = $(rel_err_fortran_m)\n") - end - - # Create plots for mhigh scan - println("Creating plots...") - - # Replace exact zeros with small epsilon for log plotting - eps_plot = 1e-16 - julia_conv_plot = [x == 0.0 ? eps_plot : x for x in relative_errors_julia_conv_m] - fortran_conv_plot = [x == 0.0 ? eps_plot : x for x in relative_errors_fortran_conv_m] - - # Plot: Convergence for each implementation (mhigh scan) - p4 = plot(mhigh_values, julia_conv_plot, - label="Julia (vs mhigh=$mhigh_reference)", - marker=:circle, - xlabel="mhigh (maximum poloidal mode)", - ylabel="Relative Error vs High-Res Reference", - title="Convergence Analysis (mhigh scan)", - legend=:topright, - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box) - plot!(p4, mhigh_values, fortran_conv_plot, - label="Fortran (vs mhigh=$mhigh_reference)", - marker=:square, - linewidth=2) - - figloc4 = joinpath(@__DIR__, "vacuum_accuracy_convergence_mhigh.pdf") - savefig(p4, figloc4) - @info "Saved mhigh convergence plot to $figloc4" - - # Combined plot for mhigh - p5 = plot(mhigh_values, relative_errors_jf_m, - label="Julia vs Fortran", - marker=:diamond, - xlabel="mhigh (maximum poloidal mode)", - ylabel="Relative Frobenius Error", - title="Julia vs Fortran Accuracy (mhigh scan)", - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box, - legend=:topright) - - figloc5 = joinpath(@__DIR__, "vacuum_accuracy_julia_vs_fortran_mhigh.pdf") - savefig(p5, figloc5) - @info "Saved Julia vs Fortran mhigh comparison to $figloc5" - - # Combined plot with both metrics for mhigh scan - p6 = plot(layout=(2,1), size=(800, 800)) - - plot!(p6[1], mhigh_values, relative_errors_jf_m, - label="Julia vs Fortran", - marker=:diamond, - ylabel="Relative Frobenius Error", - title="Julia vs Fortran Agreement (mhigh scan)", - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box, - legend=:topright) - - plot!(p6[2], mhigh_values, julia_conv_plot, - label="Julia (vs mhigh=$mhigh_reference)", - marker=:circle, - xlabel="mhigh (maximum poloidal mode)", - ylabel="Relative Error vs High-Res", - title="Convergence to High Resolution", - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box, - legend=:topright) - plot!(p6[2], mhigh_values, fortran_conv_plot, - label="Fortran (vs mhigh=$mhigh_reference)", - marker=:square, - linewidth=2) - - figloc6 = joinpath(@__DIR__, "vacuum_accuracy_combined_mhigh.pdf") - savefig(p6, figloc6) - @info "Saved combined mhigh plot to $figloc6" -end - -println("\n" * "="^60) -println("BENCHMARK COMPLETE") -println("="^60) diff --git a/benchmarks/DIIID_ideal_example/vacuum_speed_benchmark.jl b/benchmarks/DIIID_ideal_example/vacuum_speed_benchmark.jl deleted file mode 100644 index 0e2746e5..00000000 --- a/benchmarks/DIIID_ideal_example/vacuum_speed_benchmark.jl +++ /dev/null @@ -1,156 +0,0 @@ -using BenchmarkTools -using Profile -using JLD2 -using Pkg -using Plots - -Pkg.activate("../.."); -using JPEC - -# this requires you to have run the DIIID-like_ideal_example first to generate the benchmark inputs -@load "$(@__DIR__)/../../examples/DIIID-like_ideal_example/benchmark_inputs.jld2" benchmark_inputs - -(; wv_block, mpert, mtheta_eq, mthvac, complex_flag, kernelsign, - wall_flag, farwall_flag, grri, xzpts, ahg_file, dir_path, - vac_inputs, wall_settings, - n, ipert_n, psifac) = benchmark_inputs - -benchmark_n = true -benchmark_m = false - -if benchmark_n - # Define range of n values to test - n_values = [1, 2, 4, 8, 16, 32, 64] - - # Store results - fortran_times = Float64[] - fortran_stdevtimes = Float64[] - fortran_allocs = Int[] - fortran_memory = Float64[] - - julia_times = Float64[] - julia_stdevtimes = Float64[] - julia_allocs = Int[] - julia_memory = Float64[] - - # Run benchmarks for each n value - for n_test in n_values - println("Benchmarking n = $n_test") - - # Benchmark Fortran version - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, vac_inputs.mhigh, - n_test, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - b_fortran = @benchmark JPEC.Vacuum.mscvac($wv_block, $mpert, $mtheta_eq, $mthvac, - $complex_flag, $kernelsign, $wall_flag, - $farwall_flag, $grri, $xzpts, $ahg_file, "../../examples/DIIID_ideal_example") samples=10 seconds=1 - - push!(fortran_times, median(b_fortran).time / 1e9) - push!(fortran_stdevtimes, std(b_fortran).time / 1e9) - push!(fortran_allocs, median(b_fortran).allocs) - push!(fortran_memory, median(b_fortran).memory / 1e6) - - JPEC.Vacuum.unset_surface_params() - - # Benchmark Julia version - vac_inputs_test = deepcopy(vac_inputs) - vac_inputs_test.n = n_test - - b_julia = @benchmark JPEC.Vacuum.compute_vacuum_response($vac_inputs_test, $wall_settings) samples=10 seconds=1 - - push!(julia_times, median(b_julia).time / 1e9) - push!(julia_stdevtimes, std(b_julia).time / 1e9) - push!(julia_allocs, median(b_julia).allocs) - push!(julia_memory, median(b_julia).memory / 1e6) - end - - - # Time comparison - p1 = plot(n_values, fortran_times; label="Fortran", marker=:circle, - xlabel="n", ylabel="Time per execution (s)", title="Execution Time Comparison", - legend=:topleft, linewidth=2, yscale=:log10) - plot!(p1, n_values, julia_times; label="Julia", marker=:square, linewidth=2) - # Add error bars for Fortran - scatter!(p1, n_values, fortran_times; yerror=fortran_stdevtimes, - label="", color=:blue, markersize=0) - - # Add error bars for Julia - scatter!(p1, n_values, julia_times; yerror=julia_stdevtimes, - label="", color=:red, markersize=0) - - figloc = joinpath(@__DIR__, "vacuum_speed_benchmark_time_comparison.pdf") - savefig(p1, figloc) - @info "Saved time comparison plot to $figloc" - -end - -if benchmark_m - # Define range of mhigh values to test - mhigh_values = [8, 16, 32] # 48 runs into memory errors on macbooks - - # Store results - fortran_mhigh_times = Float64[] - fortran_mhigh_stdevtimes = Float64[] - fortran_mhigh_allocs = Int[] - fortran_mhigh_memory = Float64[] - - julia_mhigh_times = Float64[] - julia_mhigh_stdevtimes = Float64[] - julia_mhigh_allocs = Int[] - julia_mhigh_memory = Float64[] - - # Run benchmarks for each mhigh value - for mhigh_test in mhigh_values - println("Benchmarking mhigh = $mhigh_test") - - # Calculate mpert based on mhigh - mpert_test = mhigh_test - vac_inputs.mlow - - # Benchmark Fortran version - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, mhigh_test, - 1, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - b_fortran = @benchmark JPEC.Vacuum.mscvac($wv_block, $mpert_test, $mtheta_eq, $mthvac, - $complex_flag, $kernelsign, $wall_flag, - $farwall_flag, $grri, $xzpts, $ahg_file, "../../examples/DIIID_ideal_example") - - push!(fortran_mhigh_times, median(b_fortran).time / 1e9) - push!(fortran_mhigh_stdevtimes, std(b_fortran).time / 1e9) - push!(fortran_mhigh_allocs, median(b_fortran).allocs) - push!(fortran_mhigh_memory, median(b_fortran).memory / 1e6) - - JPEC.Vacuum.unset_surface_params() - - # Benchmark Julia version - vac_inputs_test = deepcopy(vac_inputs) - vac_inputs_test.mhigh = mhigh_test - vac_inputs_test.mpert = mhigh_test - vac_inputs_test.mlow - - b_julia = @benchmark JPEC.Vacuum.compute_vacuum_response($vac_inputs_test, $wall_settings) - - push!(julia_mhigh_times, median(b_julia).time / 1e9) - push!(julia_mhigh_stdevtimes, std(b_julia).time / 1e9) - push!(julia_mhigh_allocs, median(b_julia).allocs) - push!(julia_mhigh_memory, median(b_julia).memory / 1e6) - end - - # Time comparison for mhigh scan - p2 = plot(mhigh_values, fortran_mhigh_times; label="Fortran", marker=:circle, - xlabel="mhigh", ylabel="Time per execution (s)", title="Execution Time vs mhigh", - legend=:topleft, linewidth=2, yaxis=:log) - plot!(p2, mhigh_values, julia_mhigh_times; label="Julia", marker=:square, linewidth=2) - - # Add error bars for Fortran - scatter!(p2, mhigh_values, fortran_mhigh_times; yerror=fortran_mhigh_stdevtimes, - label="", color=:blue, markersize=0) - - # Add error bars for Julia - scatter!(p2, mhigh_values, julia_mhigh_times; yerror=julia_mhigh_stdevtimes, - label="", color=:red, markersize=0) - - figloc_mhigh = joinpath(@__DIR__, "vacuum_speed_benchmark_mhigh_time_comparison.pdf") - savefig(p2, figloc_mhigh) - @info "Saved mhigh time comparison plot to $figloc_mhigh" -end diff --git a/benchmarks/Solovev_ideal_example/vacuum_accuracy_benchmark.jl b/benchmarks/Solovev_ideal_example/vacuum_accuracy_benchmark.jl deleted file mode 100644 index 31297a81..00000000 --- a/benchmarks/Solovev_ideal_example/vacuum_accuracy_benchmark.jl +++ /dev/null @@ -1,252 +0,0 @@ -using JLD2 -using Pkg -using Plots -using LinearAlgebra -using DelimitedFiles - -default(markersize=2) - -Pkg.activate("$(@__DIR__)/../.."); using JPEC - -# this requires you to have run the Solovev_ideal_example first to generate the benchmark inputs -@load "$(@__DIR__)/../../examples/Solovev_ideal_example/vacuum_response_inputs.jld2" benchmark_inputs - -(; wv_block, mpert, mtheta_eq, mthvac, complex_flag, kernelsign, - wall_flag, farwall_flag, grri, xzpts, ahg_file, dir_path, - vac_inputs, wall_settings, - n, ipert_n, psifac) = benchmark_inputs - -""" -Compute 0D accuracy metrics between two wv matrices -Returns: (relative_frobenius_norm, max_absolute_error, frobenius_norm) -""" -function compute_accuracy_metrics(wv_test::Matrix, wv_ref::Matrix) - diff = wv_test - wv_ref - frobenius_norm = norm(diff) - relative_frobenius = frobenius_norm / norm(wv_ref) - max_abs_error = maximum(abs.(diff)) - return relative_frobenius, max_abs_error, frobenius_norm -end - -benchmark_n = false -benchmark_a = true - -if benchmark_n - println("="^60) - println("VACUUM ACCURACY BENCHMARK: Varying n") - println("="^60) - - # Define range of n values to test - n_values = range(1,15, step=1) - n_values = [1,2,3,4,6,10,15] # For clearer plotting - # Store results for Julia vs Fortran comparison - relative_errors_jf = Float64[] - max_errors_jf = Float64[] - frobenius_norms_jf = Float64[] - - # Run accuracy benchmarks for each n value - for n_test in n_values - println("Testing n = $n_test") - - # Compute Fortran solution - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, vac_inputs.mhigh, - n_test, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - wv_block_fortran = copy(wv_block) - JPEC.Vacuum.mscvac(wv_block_fortran, mpert, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri, xzpts) - - JPEC.Vacuum.unset_surface_params() - - # Compute Julia solution - vac_inputs_test = deepcopy(vac_inputs) - vac_inputs_test.n = n_test - wv_block_julia, _, _ = JPEC.Vacuum.compute_vacuum_response(vac_inputs_test, wall_settings) - - # Julia vs Fortran comparison at same n - rel_err_jf, max_err_jf, frob_jf = compute_accuracy_metrics(wv_block_julia, wv_block_fortran) - push!(relative_errors_jf, rel_err_jf) - push!(max_errors_jf, max_err_jf) - push!(frobenius_norms_jf, frob_jf) - - println(" Julia vs Fortran: rel_err = $(rel_err_jf), max_err = $(max_err_jf)\n") - end - - # Create plots - println("Creating plots...") - - # Plot 1: Julia vs Fortran comparison - p1 = plot(n_values, relative_errors_jf, - label="Relative Frobenius Error", - marker=:circle, - xlabel="n (toroidal mode number)", - ylabel="Relative Error", - title="Julia vs Fortran Accuracy", - legend=:topright, - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box) - plot!(p1, n_values, max_errors_jf, - label="Max Absolute Error", - marker=:square, - linewidth=2) - - figloc1 = joinpath(@__DIR__, "vacuum_accuracy_julia_vs_fortran_n_scan.pdf") - # savefig(p1, figloc1) - @info "Saved Julia vs Fortran n-scan comparison to $figloc1" - -end - - -pdr = plot() -pdl = plot() -prz = plot(aspect_ratio=:equal, size=(400, 800)) - -if benchmark_a - println("="^60) - println("VACUUM ACCURACY BENCHMARK: Varying a") - println("="^60) - - # Define range of n values to test - a_values = [0.01, 0.1, 0.5, 1.0, 4.0, 8.0, 20] - # Store results for Julia vs Fortran comparison - relative_errors_jf = Float64[] - max_errors_jf = Float64[] - frobenius_norms_jf = Float64[] - - # Run accuracy benchmarks for each n value - cp("vac.in", "vac.in.backup", force=true) - for a_test in a_values - println("Testing a = $a_test") - - # Compute Fortran solution - JPEC.Vacuum.set_surface_params(mtheta_eq, vac_inputs.mlow, vac_inputs.mhigh, - vac_inputs.n, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - - lines = readlines("vac.in") - idx = findfirst(l -> occursin(r"^\s*a\s*=", l), lines) - lines[idx] = " a = $a_test" - write("vac.in", join(lines, "\n") * "\n") - - wv_block_fortran = copy(wv_block) - JPEC.Vacuum.mscvac(wv_block_fortran, mpert, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri, xzpts) - - JPEC.Vacuum.unset_surface_params() - - # Compute Julia solution - new_wall = JPEC.Vacuum.WallShapeSettings( - shape= a_test > 10 ? "nowall" : wall_settings.shape, - a=a_test, - aw=wall_settings.aw, - bw=wall_settings.bw, - cw=wall_settings.cw, - dw=wall_settings.dw, - tw=wall_settings.tw, - equal_arc_wall=wall_settings.equal_arc_wall, - ) - wv_block_julia, grri_julia, xzpts_julia = JPEC.Vacuum.compute_vacuum_response(vac_inputs, new_wall) - - # Julia vs Fortran comparison at same n - rel_err_jf, max_err_jf, frob_jf = compute_accuracy_metrics(wv_block_julia, wv_block_fortran) - push!(relative_errors_jf, rel_err_jf) - push!(max_errors_jf, max_err_jf) - push!(frobenius_norms_jf, frob_jf) - - println(" Julia vs Fortran: rel_err = $(rel_err_jf), max_err = $(max_err_jf)\n") - - # check wall geometry - # Read the file, skipping the header line - data = readdlm("wall_geo.out", skipstart=3) - theta_fortran = data[:, 1] - x_fortran = data[:, 2][1:end - 2] - z_fortran = data[:, 3][1:end - 2] - i_fortran = range(1, length(x_fortran)) - - x_julia_plasma = xzpts_julia[:,1] - z_julia_plasma = xzpts_julia[:,2] - x_julia = xzpts_julia[:,3] - z_julia = xzpts_julia[:,4] - i_julia = range(1, length(x_julia)) - # distance offset - dr = ((x_fortran-x_julia).^2 + (z_fortran-z_julia).^2).^0.5 / a_test - dl_fortran = vcat(0.0, sqrt.(diff(x_fortran).^2 + diff(z_fortran).^2)) - dl_julia = vcat(0.0, sqrt.(diff(x_julia).^2 + diff(z_julia).^2)) - - plot!(pdr, i_julia, dr, label="distance error a=$a_test",linewidth=1) - - if a_test == a_values[1] - plot!(prz, x_julia_plasma, z_julia_plasma, label="Julia Plasma", linewidth=1, marker=:cross, color=:black) - end - if a_test < 20 - # this dashed vertical line proves the fortran wall has 3 points at the same x around the midplane to enforce up down symmetry - plot!(prz, [x_fortran[1], x_fortran[1]], [-maximum(z_julia_plasma), maximum(z_julia_plasma)], label=nothing, linewidth=1, color=:black, linestyle=:dash) - plot!(prz, x_fortran, z_fortran, label="Fortran wall, a=$a_test", linewidth=2, marker=:o,markerfillalpha=0) - last_color = current().series_list[end][:linecolor] - plot!(prz, x_julia, z_julia, label="Julia wall, a=$a_test", linewidth=1, marker=:cross, markerlinewidth=0, - color=last_color) - plot!(prz, x_julia[1:1], z_julia[1:1], linewidth=0, marker=:dtriangle,color=last_color, label=nothing) - plot!(prz, x_julia[end:end], z_julia[end:end], linewidth=0, marker=:diamond,color=last_color, aspect_ratio=:equal, label=nothing) - - plot!(pdl, i_fortran, dl_fortran, label="Fortran dl, a=$a_test", linewidth=1) - plot!(pdl, i_julia, dl_julia, label="Julia dl, a=$a_test", linewidth=1) - end - - end - # Clean up backup - cp("vac.in.backup", "vac.in", force=true) - rm("vac.in.backup") - - # Create plots - println("Creating plots...") - - xlabel!(pdr, "Wall Point Index") - ylabel!(pdr, "Distance Error / a") - - xlabel!(prz, "x (m)") - ylabel!(prz, "z (m)") - plot!(prz, aspect_ratio=:equal) - - figloc_geo = joinpath(@__DIR__, "vacuum_accuracy_julia_vs_fortran_a_scan_geometry_check.pdf") - # savefig(pdr, figloc_geo) - @info "Saved Julia vs Fortran n-scan comparison to $figloc_geo" - - display(pdr) - display(pdl) - display(prz) - - - # Plot 1: Julia vs Fortran comparison - p1 = plot(a_values, relative_errors_jf, - label="Relative Frobenius Error", - marker=:circle, - xlabel="a (radial separation)", - ylabel="Relative Error", - title="Julia vs Fortran Accuracy", - legend=:topright, - linewidth=2, - yscale=:log10, - minorgrid=true, - framestyle=:box) - plot!(p1, a_values, max_errors_jf, - label="Max Absolute Error", - marker=:square, - linewidth=2) - - figloc1 = joinpath(@__DIR__, "vacuum_accuracy_julia_vs_fortran_a_scan.pdf") - # savefig(p1, figloc1) - @info "Saved Julia vs Fortran n-scan comparison to $figloc1" - - display(p1) - -end - - -println("\n" * "="^60) -println("BENCHMARK COMPLETE") -println("="^60) diff --git a/deps/build.jl b/deps/build.jl deleted file mode 100644 index bed6e08a..00000000 --- a/deps/build.jl +++ /dev/null @@ -1,14 +0,0 @@ -# How to modify build.jl: -# 1) Declare build functions for each Fortran codes as 'build_*_fortran()' -# 2) Add these functions to the results array in build_fortran() -# 3) Export the functions you want to be accessible from outside - - -const parent_dir = joinpath(@__DIR__, "..", "src") - -include(joinpath(@__DIR__, "build_helpers.jl")) - -export build_fortran -export build_vacuum_fortran - -build_fortran() # Call the build function to execute the builds diff --git a/deps/build_helpers.jl b/deps/build_helpers.jl deleted file mode 100644 index 1c142b2f..00000000 --- a/deps/build_helpers.jl +++ /dev/null @@ -1,71 +0,0 @@ -# How to modify build_helpers.jl: -# 1) Declare build functions for each Fortran codes as 'build_*_fortran()' -# 2) Add these functions to the results array in build_fortran() -# 3) Export the functions you want to be accessible from outside - - -const parent_dir = joinpath(@__DIR__, "..", "src") - -export build_vacuum_fortran - -function build_fortran() - ENV["FC"] = get(ENV, "FC", "gfortran") - # Set OS-dependent flags - println("Setting up environment for ", Sys.KERNEL) - if Sys.isapple() - ENV["LIBS"] = "-framework Accelerate" - ENV["LIBSUFFIX"] = ".dylib" - elseif Sys.islinux() - ENV["LIBS"] = "-lopenblas" - ENV["LIBSUFFIX"] = ".so" - elseif Sys.iswindows() - error("Unsupported OS for Fortran build- try using WSL") - #ENV["LIBS"] = "-lopenblas" - #ENV["LIBSUFFIX"] = ".dll" - else - error("Unsupported OS for Fortran build") - end - ENV["RECURSFLAG"] = "-frecursive" - ENV["LEGACYFLAG"] = "-std=legacy" - ENV["ZEROFLAG"] = "-finit-local-zero" - ENV["FFLAGS"] = "-fPIC" - ENV["LDFLAGS"] = "-shared" - - results = [ - build_vacuum_fortran() - ] - - if all(results) - @info "All Fortran builds succeeded!" - else - @error "Some Fortran builds failed." - end - -end - -function build_vacuum_fortran() - dir = joinpath(parent_dir, "Vacuum", "fortran") - try - run(pipeline(`make -C $dir`)) - @info "Vacuum-fortran compiled well" - return true - catch e - @error "Failed to build Vacuum-fortran: $e" - return false - end - -end - -# Example for including more fortran: -# -# function build_jpec_fortran() -# dir = joinpath(parent_dir, "Gpec", "fortran") -# try -# run(pipeline(`make -C $dir`, stdout=DevNull, stderr=DevNull)) -# println("Gpec-fortran compiled well") -# return true -# catch e -# println("Failed to build Gpec-fortran: $e") -# return false -# end -# end diff --git a/docs/src/set_up.md b/docs/src/set_up.md index cd65de23..4d53eecf 100644 --- a/docs/src/set_up.md +++ b/docs/src/set_up.md @@ -23,13 +23,11 @@ ``` 2. Install build tools in WSL ```shell - sudo apt install build-essential gfortran cmake -y + sudo apt install build-essential cmake -y ``` `build-essential` → GCC, make - `gfortran` → Fortran compiler - `cmake` → sometimes needed by dependencies 3. Install Julia in WSL @@ -92,33 +90,9 @@ Clone it from GitHub directly to your virtual machine. cd JPEC ``` -6. Build Fortran dependencies (libspline.so) - 1. Go to the spline source folder: - ```shell - cd ~/JPEC/src/Splines/fortran - ``` - - 2. Clean previous builds using - ```shell - make clean - ``` - - 3. Build - ```shell - make - ``` - - 4. Verify the library exists using - ```shell - ls ../../../deps/libspline.so - ``` - - 5. Export library path so Julia can find it - ```shell - export LD_LIBRARY_PATH=~/JPEC/deps:$LD_LIBRARY_PATH - ``` +6. Native build dependencies - Optional: add to `~/.bashrc` for persistence. + JPEC no longer requires building external Fortran libraries. Proceed directly to installing the Julia packages. 7. Install the Julia packages for JPEC 1. Launch Julia: @@ -154,15 +128,13 @@ Clone it from GitHub directly to your virtual machine. 4. Open a terminal inside VS Code — it will automatically use WSL/Ubuntu. 5. You can now run: ```shell - make # rebuild libspline.so if needed julia # run scripts jupyter notebook --no-browser ``` - 6. VS Code also lets you open `.ipynb` notebooks in the WSL environment using the Jupyter extension. Click the "Select Kernel" button in the top right hand of the `.ipynb` file and select the Julia kernel installed in WSL.All dependencies (libspline.so, Julia packages) are accessible. + 6. VS Code also lets you open `.ipynb` notebooks in the WSL environment using the Jupyter extension. Click the "Select Kernel" button in the top right hand of the `.ipynb` file and select the Julia kernel installed in WSL. All dependencies are accessible. 3. Run JPEC - 1. Make sure you are in WSL terminal, with `LD_LIBRARY_PATH` set to include deps. - 2. Launch Julia and run your scripts as usual: + 1. Launch Julia and run your scripts as usual: ```shell include("path/to/jpec_script.jl") ``` diff --git a/examples/Solovev_ideal_example/vacuum_wall_debug.jl b/examples/Solovev_ideal_example/vacuum_wall_debug.jl deleted file mode 100644 index 5fd157f7..00000000 --- a/examples/Solovev_ideal_example/vacuum_wall_debug.jl +++ /dev/null @@ -1,61 +0,0 @@ -using JLD2 -using Pkg -println("Activating JPEC environment at $(@__DIR__)/../..") -Pkg.activate("$(@__DIR__)/../.."); -using JPEC - -@load "$(@__DIR__)/vacuum_response_inputs.jld2" benchmark_inputs - -(; wv_block, mpert, mtheta_eq, mthvac, complex_flag, kernelsign, - wall_flag, farwall_flag, grri, xzpts, ahg_file, dir_path, - vac_inputs, wall_settings, - n, ipert_n, psifac) = benchmark_inputs - - -use_wall_arg = true - -# Lower mpert to be managable for testing -mlow = -2 -mhigh = 2 -mpert = mhigh-mlow+1 - -wv_block = zeros(ComplexF64, mpert, mpert) - - -# make a new wall settings object -if !use_wall_arg - wall_flag = false - farwall_flag = true - wall_settings = JPEC.Vacuum.WallShapeSettings(; shape="nowall", a=wall_settings.a, aw=wall_settings.aw, - bw=wall_settings.bw, cw=wall_settings.cw, - dw=wall_settings.dw, tw=wall_settings.tw, - equal_arc_wall=wall_settings.equal_arc_wall) -end - - -JPEC.Vacuum.set_surface_params(mtheta_eq, mlow, mhigh, - n, vac_inputs.qa, vac_inputs.r, - vac_inputs.z, vac_inputs.delta) - -wv_fortran = JPEC.Vacuum.mscvac(wv_block, mpert, mtheta_eq, mthvac, - complex_flag, kernelsign, wall_flag, - farwall_flag, grri, xzpts, ahg_file, "$(@__DIR__)") - -JPEC.Vacuum.unset_surface_params() - -# Now deepcopy the julia vac_inputs and set the new ms -vac_inputs = deepcopy(vac_inputs) -vac_inputs.mlow = mlow -vac_inputs.mhigh = mhigh -vac_inputs.mpert = mhigh - mlow + 1 - -wv_julia, grri, xzpts = JPEC.Vacuum.compute_vacuum_response(vac_inputs, wall_settings) - -println("Fortran output:") -display(wv_fortran) - -println("Julia output:") -display(wv_julia) - -println("Abs difference of Fortran and Julia outputs:") -display(abs.(wv_fortran .- wv_julia)) diff --git a/notebooks/data/fortran_rzphi_knots.dat b/notebooks/data/fortran_rzphi_knots.dat deleted file mode 100644 index 2952ce44..00000000 --- a/notebooks/data/fortran_rzphi_knots.dat +++ /dev/null @@ -1,33154 +0,0 @@ -p t f1 f2 f3 f4 fx1 fx2 fx3 fx4 fy1 fy2 fy3 fy4 - 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112 0.961934E+00 -.536958E-01 0.317423E+01 0.226631E+01 0.264241E-12 - 113 0.966490E+00 -.536958E-01 0.318459E+01 0.228173E+01 -.918114E-12 - 114 0.970765E+00 -.536958E-01 0.319438E+01 0.229631E+01 -.977043E-12 - 115 0.974757E+00 -.536958E-01 0.320357E+01 0.231006E+01 -.286094E-11 - 116 0.978463E+00 -.536958E-01 0.321215E+01 0.232295E+01 0.318933E-11 - 117 0.981880E+00 -.536958E-01 0.322011E+01 0.233490E+01 -.103663E-10 - 118 0.985007E+00 -.536958E-01 0.322743E+01 0.234597E+01 0.522818E-10 - 119 0.987842E+00 -.536958E-01 0.323410E+01 0.235598E+01 -.159411E-09 - 120 0.990384E+00 -.536958E-01 0.324010E+01 0.236503E+01 0.596399E-09 - 121 0.992630E+00 -.536958E-01 0.324542E+01 0.237320E+01 -.207331E-08 - 122 0.994579E+00 -.536958E-01 0.325005E+01 0.238034E+01 0.724291E-08 - 123 0.996230E+00 -.536958E-01 0.325399E+01 0.238611E+01 -.250088E-07 - 124 0.997583E+00 -.536958E-01 0.325722E+01 0.239106E+01 0.850185E-07 - 125 0.998635E+00 -.536958E-01 0.325974E+01 0.239492E+01 -.282981E-06 - 126 0.999388E+00 -.536958E-01 0.326154E+01 0.239767E+01 0.909630E-06 - 127 0.999839E+00 -.536958E-01 0.326262E+01 0.239938E+01 -.274148E-05 - 128 0.999990E+00 -.536958E-01 0.326298E+01 0.239991E+01 0.700765E-05 diff --git a/notebooks/vacuum_fortran_example.ipynb b/notebooks/vacuum_fortran_example.ipynb deleted file mode 100644 index 663cd832..00000000 --- a/notebooks/vacuum_fortran_example.ipynb +++ /dev/null @@ -1,91 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "id": "0", - "metadata": {}, - "outputs": [], - "source": [ - "using Pkg\n", - "Pkg.activate(\"..\")\n", - "Pkg.instantiate()\n", - "using JPEC, Plots" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1", - "metadata": {}, - "outputs": [], - "source": [ - "# Set dcon parameters\n", - "# Copy ../test/vac.in to notebooks/vac.in if it doesn't exist\n", - "if !isfile(\"../notebooks/vac.in\")\n", - " cp(\"../test/vac.in\", \"../notebooks/vac.in\")\n", - "end\n", - "\n", - "mthin, lmin, lmax, nnin = Int32(4), Int32(1), Int32(4), Int32(2)\n", - "qa1in = 1.23\n", - "xin = rand(Float64, lmax - lmin + 1)\n", - "zin = rand(Float64, lmax - lmin + 1)\n", - "deltain = rand(Float64, lmax - lmin + 1)\n", - "\n", - "println(\"Testing set_surface_params…\")\n", - "JPEC.Vacuum.set_surface_params(mthin, lmin, lmax, nnin, qa1in, xin, zin, deltain)\n", - "println(\"set_surface_params OK!\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2", - "metadata": {}, - "outputs": [], - "source": [ - "# Run mscvac with sample variables\n", - "# mscvac sample variables\n", - "mpert = Int32(5)\n", - "mtheta = Int32(256)\n", - "mthvac = Int32(256)\n", - "wv = zeros(ComplexF64, mpert, mpert)\n", - "complex_flag = true \n", - "kernelsignin = -1.0\n", - "wall_flag = false\n", - "farwall_flag = true\n", - "grrio = rand(Float64, 2*(mthvac+5), mpert*2) \n", - "xzptso = rand(Float64, mthvac+5, 4) \n", - "op_ahgfile = \"aaaa\" \n", - "\n", - "println(\"Testing mscvac…\")\n", - "JPEC.Vacuum.mscvac(\n", - " wv, mpert, mtheta, mthvac,\n", - " complex_flag, kernelsignin,\n", - " wall_flag, farwall_flag,\n", - " grrio, xzptso, op_ahgfile\n", - ")\n", - "println(\"mscvac OK!\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "3", - "metadata": {}, - "outputs": [], - "source": [ - "display(wv)" - ] - } - ], - "metadata": { - "language_info": { - "file_extension": ".jl", - "mimetype": "application/julia", - "name": "julia" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/src/JPEC.jl b/src/JPEC.jl index 309f8779..2cdb1c36 100755 --- a/src/JPEC.jl +++ b/src/JPEC.jl @@ -25,9 +25,6 @@ include("PerturbedEquilibrium/PerturbedEquilibrium.jl") import .PerturbedEquilibrium as PerturbedEquilibrium export PerturbedEquilibrium -include(joinpath(@__DIR__, "..", "deps", "build_helpers.jl")) -export build_fortran, build_spline_fortran, build_vacuum_fortran - # Additional imports for main function using TOML using Printf diff --git a/src/Vacuum/Vacuum.jl b/src/Vacuum/Vacuum.jl index 6c10a28d..f18a400c 100644 --- a/src/Vacuum/Vacuum.jl +++ b/src/Vacuum/Vacuum.jl @@ -17,200 +17,12 @@ include("MathUtils.jl") # Include VacuumFromEquilibrium after DataTypes so VacuumInput is defined include("VacuumFromEquilibrium.jl") -export mscvac, set_surface_params, VacuumInput, compute_vacuum_response +export VacuumInput, compute_vacuum_response export compute_vacuum_field export kernel! export WallShapeSettings export extract_plasma_surface_at_psi, create_vacuum_input_at_psi -# ====================================================================== -# Legacy fortran vacuum module interface -# ====================================================================== - -const libdir = joinpath(@__DIR__, "..", "..", "deps") -const libvac = joinpath(libdir, "libvac") - -""" - set_surface_params(mtheta, lmin, lmax, nnin, qa1in, xin, zin, deltain) - -Initialize ForceFreeStates parameters for vacuum field calculations. - -# Arguments - - - `mtheta`: Number of theta grid points (Integer) - - `lmin`: Minimum poloidal mode number (Integer) - - `lmax`: Maximum poloidal mode number (Integer) - - `nnin`: Toroidal mode number (Integer) - - `qa1in`: Safety factor parameter (Float64) - - `xin`: Vector of radial coordinates at plasma boundary (Vector{Float64}) - - `zin`: Vector of vertical coordinates at plasma boundary (Vector{Float64}) - - `deltain`: Vector of displacement values (Vector{Float64}) - -# Note - -This function must be called before using `mscvac` to perform vacuum calculations. -The coordinate and displacement vectors should have length `lmax - lmin + 1`. - -# Examples - -```julia -mtheta, lmin, lmax, nnin = Int32(4), Int32(1), Int32(4), Int32(2) -qa1in = 1.23 -n_modes = lmax - lmin + 1 -xin = rand(Float64, n_modes) -zin = rand(Float64, n_modes) -deltain = rand(Float64, n_modes) - -set_surface_params(mtheta, lmin, lmax, nnin, qa1in, xin, zin, deltain) -``` -""" -function set_surface_params(mtheta::Integer, lmin::Integer, lmax::Integer, nnin::Integer, - qa1in::Float64, - xin::Vector{Float64}, zin::Vector{Float64}, deltain::Vector{Float64}) - - return ccall((:set_surface_params_, libvac), - Nothing, - (Ref{Cint}, Ref{Cint}, Ref{Cint}, Ref{Cint}, - Ref{Cdouble}, - Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cdouble}), - Ref(Int32(mtheta)), Ref(Int32(lmin)), Ref(Int32(lmax)), Ref(Int32(nnin)), - Ref(qa1in), - pointer(xin), pointer(zin), pointer(deltain)) -end - -""" - unset_surface_params() - -Unset ForceFreeStates parameters previously set by `set_surface_params`. - -This subroutine deallocates in-memory arrays (`x`, `z`, and `delta`) -and resets the internal ForceFreeStates state for future vacuum calculations. - -# Notes - - - Must be called after `set_surface_params` if you want to reset the surface data memory. - - No arguments are required. - -# Example - -```julia -# Set parameters -set_surface_params(mtheta, lmin, lmax, nnin, qa1in, xin, zin, deltain) - -# Reset surface parameters -unset_surface_params() -``` -""" -function unset_surface_params() - ccall((:unset_surface_params_, libvac), Nothing, ()) -end - -""" - mscvac(wv, mpert, mtheta, mtheta_vacuum, complex_flag, kernelsignin, wall_flag, farwall_flag, grrio, xzptso, op_ahgfile=nothing) - -Compute the vacuum response matrix for magnetostatic perturbations. - -# Arguments - - - `wv`: Pre-allocated complex matrix (mpert × mpert) to store vacuum response (Array{ComplexF64,2}) - - `mpert`: Number of perturbation modes (Integer) - - `mtheta`: Number of theta grid points for plasma (Integer) - - `mtheta_vacuum`: Number of theta grid points for vacuum region (Integer) - - `complex_flag`: Whether to use complex arithmetic (Bool) - - `kernelsignin`: Sign convention for vacuum kernels (Float64, typically -1.0) - - `wall_flag`: Whether to include an externally defined wall shape (Bool) - - `farwall_flag`: Whether to use far-wall approximation (Bool) - - `grrio`: Green's function data (Array{Float64,2}) - - `xzptso`: Source point coordinates (Array{Float64,2}) - - `op_ahgfile`: Optional communication file for when set_surface_params is not called (String or Nothing) - -# Returns - - - Modifies `wv` in-place with the computed vacuum response matrix - - Returns the modified `wv` matrix - -# Note - -Requires prior initialization with `set_surface_params()` before calling this function. - -# Examples - -```julia -# Initialize parameters first -set_surface_params(mtheta, lmin, lmax, nnin, qa1in, xin, zin, deltain) - -# Set up vacuum calculation -mpert = 5 -mtheta = 256 -mtheta_vacuum = 256 -wv = zeros(ComplexF64, mpert, mpert) -complex_flag = true -kernelsignin = -1.0 -wall_flag = false -farwall_flag = true -grrio = rand(Float64, 2 * (mtheta_vacuum + 5), mpert * 2) -xzptso = rand(Float64, mtheta_vacuum + 5, 4) - -# Perform calculation -mscvac(wv, mpert, mtheta, mtheta_vacuum, complex_flag, kernelsignin, - wall_flag, farwall_flag, grrio, xzptso) -``` -""" -function mscvac( - wv::Array{ComplexF64,2}, - mpert::Integer, - mtheta::Integer, - mtheta_vacuum::Integer, - complex_flag::Bool, - kernelsignin::Float64, - wall_flag::Bool, - farwall_flag::Bool, - grrio::Array{Float64,2}, - xzptso::Array{Float64,2}, - op_ahgfile::Union{Nothing,String}=nothing, - folder::String="." -) - - ahgfile_ptr = if op_ahgfile === nothing - Ptr{UInt8}(C_NULL) - else - Base.cconvert(Ptr{UInt8}, op_ahgfile) - end - - # TODO: this allows VACUUM to be called from a specified folder, like the rest of the Julia DCON - # vac.in is hardcoded in the fortran, so this just changes the working directory temporarily for VACUUM - # Eventually, find a better way to do this - cd(folder) do - return ccall((:__vacuum_mod_MOD_mscvac, libvac), - Nothing, - (Ptr{ComplexF64}, # wv(mpert,mpert) - Ref{Cint}, # mpert - Ref{Cint}, # mtheta - Ref{Cint}, # mtheta_vacuum - Ref{Cint}, # complex_flag (logical) - Ref{Cdouble}, # kernelsignin - Ref{Cint}, # wall_flag (logical) - Ref{Cint}, # farwall_flag (logical) - Ptr{Cdouble}, # grrio(:,:) - Ptr{Cdouble}, # xzptso(:,:) - Ptr{UInt8}), # op_ahgfile (optional) - pointer(wv), - Ref(Int32(mpert)), - Ref(Int32(mtheta)), - Ref(Int32(mtheta_vacuum)), - Ref(Int32(complex_flag)), - Ref(kernelsignin), - Ref(Int32(wall_flag)), - Ref(Int32(farwall_flag)), - pointer(grrio), - pointer(xzptso), - ahgfile_ptr - ) - end - - return wv -end - """ apply_kernelsign!(grad_greenfunction_mat, kernelsign, mtheta) diff --git a/src/Vacuum/fortran/TESTVAC.f b/src/Vacuum/fortran/TESTVAC.f deleted file mode 100644 index ab9675a5..00000000 --- a/src/Vacuum/fortran/TESTVAC.f +++ /dev/null @@ -1,375 +0,0 @@ -! First export: -! export FFLAGS='-O0 -fbacktrace -g -fcheck=all -fPIC' -! export FC=gfortran -! run using: make && gfortran TESTVAC.f *.o -std=legacy -framework Accelerate -o testvac && ./testvac - - - MODULE TESTVAC_MOD - IMPLICIT NONE - CONTAINS - -c----------------------------------------------------------------------- -c Test 1: Test the green function from vacuum_ma.f -c----------------------------------------------------------------------- - SUBROUTINE test_green - - USE vacuum_mod - USE vglobal_mod - IMPLICIT NONE - - !INTEGER, PARAMETER :: r8 = SELECTED_REAL_KIND(15, 307) - INTEGER, PARAMETER :: mthvac = 900 - INTEGER :: mtheta = 200 - LOGICAL :: complex_flag = .TRUE. - REAL(r8) :: kernelsignin = 1.0_r8 - LOGICAL :: walflag = .FALSE. - LOGICAL :: farwalflag = .TRUE. - INTEGER, PARAMETER :: mpert = 20 - COMPLEX(r8), DIMENSION(mpert, mpert) :: wv - REAL(r8), DIMENSION(2*(mthvac+5),mpert*2) :: grriio - REAL(r8), DIMENSION(mthvac+5,4) :: xzptso - - ! REAL(r8) :: xs, zs, xt, zt, xtp, ztp - ! INTEGER :: n - CALL defglo(mthvac) - - xs = 2.1629189218489446_r8 - zs = 0.49099087247571593_r8 - xt = 1.4309251319336729_r8 - zt = -1.0909471147721690_r8 - xtp = -0.31581804571944494_r8 - ztp = -0.13298631469337879_r8 - n = 1 - - CALL green -! CALL mscvac(wv,mpert,mtheta,mthvac,complex_flag,kernelsignin, -! $ walflag, farwalflag, grriio, xzptso) - -c----------------------------------------------------------------------- -c Write a bunch of outputs: -c bval -c aval -c aval0 -c----------------------------------------------------------------------- - - WRITE(*,*) "bval = ", bval - WRITE(*,*) "aval = ", aval - WRITE(*,*) "aval0 = ", aval0 - - END SUBROUTINE test_green -c----------------------------------------------------------------------- - -c----------------------------------------------------------------------- -c Test 2: test fourier and fourier inverse from vacuum_vac.f -c----------------------------------------------------------------------- - SUBROUTINE test_fourier - USE vglobal_mod - USE vacuum_mod - REAL(r8), DIMENSION(:,:), ALLOCATABLE :: gij, gil, cs, gll - REAL(r8), DIMENSION(:), ALLOCATABLE :: x - INTEGER :: mtheta=200, mthvac=900, mpert=34 - INTEGER :: i, j - kernelsign=1 - ntsin0=mtheta+1 - nths0=mthvac - nfm=mpert - mtot=mpert - call global_alloc(nths0,nfm,mtot,ntsin0) - CALL defglo(900) - - lmin(1) = 1 - lmax(1) = nfm - - WRITE(*,*) nths, nths2, nfm, nfm2 - - nths = 905 - nths2 = 1810 - nfm = 34 - nfm2 = 68 - - ALLOCATE(gij(nths,nths), gil(nths2,nfm2), cs(nths,nfm)) - ALLOCATE(gll(nfm,nfm)) - ALLOCATE(x(nths)) - - gij = 0.0_r8 - gil = 0.0_r8 - cs = 0.0_r8 - gll = 0.0_r8 - - DO i=1, nths - x(i) = 6.28/REAL(i,r8) - ENDDO - - - DO i=1, nths - DO j=1, nths - gij(i,j) = SIN(x(i) + x(j)) - ENDDO - - DO j=1, nfm - cs(i,j) = SIN(j*x(i))**2 - ENDDO - ENDDO - - CALL fouran(gij,gil,cs,0,34) - - WRITE(*,*) 'gil(1:5,1:5) matrix:' - DO i = 1, 5 - WRITE(*,'(5(F12.6,2X))') (gil(109+i,33+j), j=1,5) - END DO - - mth = nths - dth = twopi / mth - - CALL foranv(gil,gll,cs,0,34) - - WRITE(*,*) 'gll(1:5,1:5) matrix:' - DO i = 1, 5 - WRITE(*,'(5(F12.6,2X))') (gll(i,j), j=1,5) - END DO - - END SUBROUTINE test_fourier -c----------------------------------------------------------------------- - -c----------------------------------------------------------------------- -c Test 3: test mscvac from vacuum_vac.f -c----------------------------------------------------------------------- - SUBROUTINE test_mscvac - USE vacuum_mod - USE vglobal_mod - IMPLICIT NONE - - !INTEGER, PARAMETER :: r8 = SELECTED_REAL_KIND(15, 307) - INTEGER, PARAMETER :: mthvac = 512 - INTEGER :: mtheta = 200 - INTEGER :: i, j - INTEGER :: complex_flag = 1 - REAL(r8) :: kernelsignin = 1.0_r8 - INTEGER :: walflag = 0 - INTEGER :: farwalflag = 1 - INTEGER, PARAMETER :: mpert = 34 - COMPLEX(r8), DIMENSION(mpert, mpert) :: wv - REAL(r8), DIMENSION(2*(mthvac+5),mpert*2) :: grriio - REAL(r8), DIMENSION(mthvac+5,4) :: xzptso - - CALL mscvac(wv,mpert,mtheta,mthvac,complex_flag,kernelsignin, - $ walflag, farwalflag, grriio, xzptso) - - WRITE(*,*) 'wv(1:5,1:5) matrix:' - DO i = 1, 5 - WRITE(*,'(5("(",F10.6,",",F10.6,")",2X))') (wv(i,j), j=1,5) - END DO - - END SUBROUTINE test_mscvac -c----------------------------------------------------------------------- - -c----------------------------------------------------------------------- -c Test 4: test vaccal from vacuum_vac.f -c----------------------------------------------------------------------- - SUBROUTINE test_vaccal - USE vglobal_mod - USE vacuum_mod - IMPLICIT NONE - - INTEGER :: mtheta, mthvac, mpert - REAL(r8), DIMENSION(:,:), ALLOCATABLE :: gil, gll, cs - REAL(r8), DIMENSION(:,:), ALLOCATABLE :: gij - INTEGER :: i, j - - mtheta = 200 - mthvac = 900 - mpert = 20 - - ! Initialize global sizes - kernelsign = 1 - ntsin0 = mtheta + 1 - nths0 = mthvac - nfm = mpert - mtot = mpert - CALL global_alloc(nths0, nfm, mtot, ntsin0) - CALL defglo(mthvac) - - ! Example lmin/lmax for Fourier indices - lmin(1) = 1 - lmax(1) = nfm - - ! Update nths/nfm (consistent with above) - nths = mthvac + 5 - nths2 = 2 * nths - nfm2 = 2 * nfm - - ! Allocate working arrays - ALLOCATE(gij(nths, nths)) - ALLOCATE(gil(nths2, nfm2)) - ALLOCATE(cs(nths, nfm)) - ALLOCATE(gll(nfm, nfm)) - - gij = 0.0_r8 - gil = 0.0_r8 - cs = 0.0_r8 - gll = 0.0_r8 - - ! Example test input data for gij/cs - DO i = 1, nths - DO j = 1, nths - gij(i,j) = SIN(REAL(i+j, r8) * 0.01_r8) - END DO - DO j = 1, nfm - cs(i,j) = COS(REAL(i*j, r8) * 0.01_r8) - END DO - END DO - - check1 = .TRUE. - farwal = .FALSE. - - PRINT *, 'Check gij(1:3,1:3):' - DO i = 1,3 - WRITE(*,'(3(F12.6,2X))') (gij(i,j), j=1,3) - END DO - - PRINT *, 'Check cs(1:3,1:3):' - DO i = 1,3 - WRITE(*,'(3(F12.6,2X))') (cs(i,j), j=1,3) - END DO - - PRINT *, 'Calling vaccal...' - CALL vaccal() - PRINT *, 'vaccal completed successfully' - - ! Dump a small part of arrays to check Julia port - WRITE(*,*) 'gil(1:3,1:3):' - DO i=1,3 - WRITE(*,'(3(F12.6,2X))') (gil(i,j), j=1,3) - END DO - - END SUBROUTINE test_vaccal - -c----------------------------------------------------------------------- - -c----------------------------------------------------------------------- -c Test 5: test kernel from vacuum_vac.f -c----------------------------------------------------------------------- - SUBROUTINE test_kernel - USE vglobal_mod - USE vacuum_mod - USE test_kernel_data - IMPLICIT NONE - - INTERFACE - SUBROUTINE kernel(xobs,zobs,xsce,zsce,grdgre,gren, - $ j1,j2,isgn,iopw,iops,ischk) - USE vglobal_mod, ONLY: r8 - REAL(r8), DIMENSION(:), INTENT(IN) :: xobs,zobs,xsce,zsce - REAL(r8), DIMENSION(:,:), INTENT(OUT) :: grdgre - REAL(r8), DIMENSION(:,:), INTENT(OUT), TARGET :: gren - INTEGER, INTENT(IN) :: j1,j2,isgn,iopw,iops,ischk - END SUBROUTINE kernel - END INTERFACE - - ! REAL(r8), DIMENSION(517) :: xobs, zobs, xsce, zsce - REAL(r8), DIMENSION(:, :), ALLOCATABLE :: grdgre - REAL(r8), DIMENSION(:, :), TARGET, ALLOCATABLE :: gren - ! INTEGER :: j1, j2, isgn, iopw, iops, ischk - INTEGER :: mthvac = 512 - ! INTEGER :: nths - ! INTEGER :: nths2 - INTEGER :: j, i - INTEGER :: mtheta = 256 - INTEGER :: debug_out_unit = 7 - INTEGER :: debug_out_unit_2 = 8 - - ntsin0 = mtheta + 1 - nths0 = mthvac - nfm = 34 - mtot = nfm - - CALL global_alloc(nths0,nfm,mtot,ntsin0) - farwal = .true. - CALL defglo(mthvac) - - ! WRITE(*,*) "mth1 = ", mth1 - ! WRITE(*,*) "nths2 = ", nths2 - - - ALLOCATE(gren(1:mth1,1:mth1)) - ALLOCATE(grdgre(nths2,nths2)) - ! Write out the size of the allocated arrays - WRITE(*,*) "gren size: ", SIZE(gren,1), SIZE(gren,2) - WRITE(*,*) "grdgre size: ", SIZE(grdgre,1), SIZE(grdgre,2) - - CALL kernel(xobs, zobs, xsce, zsce, grdgre, gren, - $ j1, j2, isgn, iopw, iops, ischk) - - WRITE(*,*) 'gren(1:5,1:5) matrix:' - DO i = 1, 5 - WRITE(*,'(5(F12.9,2X))') (gren(i,j), j=1,5) - END DO - WRITE(*,*) 'grdgre(1:5,1:5) matrix:' - DO i = 1, 5 - WRITE(*,'(5(F12.9,2X))') (grdgre(i,j), j=1,5) - END DO - ! Do the same thing but for the last 5x5 block - WRITE(*,*) 'gren(last 5x5) matrix:' - DO i = mth1-4, mth1 - WRITE(*,'(5(F12.9,2X))') (gren(i,j), j=mth1-4,mth1) - END DO - WRITE(*,*) 'grdgre(last 5x5) matrix:' - DO i = nths2-4, nths2 - WRITE(*,'(5(F12.9,2X))') (grdgre(i,j), j=nths2-4,nths2) - END DO - - ! Write grdgre to a file - OPEN(unit=debug_out_unit, file='test_kernel_grdgre_output.txt', - $ status='replace', action='write', form='formatted') - ! WRITE(debug_out_unit,*) 'grdgre matrix:' - DO i = 1, SIZE(grdgre,1) - WRITE(debug_out_unit,'(1034(F12.9,2X))') (grdgre(i,j), - $ j=1,SIZE(grdgre,2)) - END DO - CLOSE(debug_out_unit) - - ! Write gren to a file - OPEN(unit=debug_out_unit_2, file='test_kernel_gren_output.txt', - $ status='replace', action='write', form='formatted') - ! WRITE(debug_out_unit_2,*) 'gren matrix:' - DO i = 1, SIZE(gren,1) - WRITE(debug_out_unit_2,'(514(F12.9,2X))') (gren(i,j), - $ j=1,SIZE(gren,2)) - END DO - CLOSE(debug_out_unit_2) - - END SUBROUTINE test_kernel -c----------------------------------------------------------------------- - END MODULE TESTVAC_MOD - -c----------------------------------------------------------------------- - -c----------------------------------------------------------------------- -c Main program to run the tests -c----------------------------------------------------------------------- - - PROGRAM TESTVAC - - USE TESTVAC_MOD - - WRITE(*,*) "Running tests for vacuum module." - ! WRITE(*,*) "-----------------------------------" - ! WRITE(*,*) "Test 1: Green function" - ! CALL test_green - ! WRITE(*,*) "-----------------------------------" - ! WRITE(*,*) "Test 2: Fourier and Inverse Fourier" - ! CALL test_fourier - ! WRITE(*,*) "-----------------------------------" - ! WRITE(*,*) "Test 4: Vaccal" - ! CALL test_vaccal - WRITE(*,*) "-----------------------------------" - WRITE(*,*) "Test 5: Kernel" - CALL test_kernel - ! WRITE(*,*) "-----------------------------------" - ! WRITE(*,*) "Last Test: MSCVAC" - ! CALL test_mscvac - - WRITE(*,*) "-----------------------------------" - WRITE(*,*) "All tests completed successfully." - - END PROGRAM TESTVAC diff --git a/src/Vacuum/fortran/ahg2msc.out b/src/Vacuum/fortran/ahg2msc.out deleted file mode 100644 index 478a0e6e..00000000 --- a/src/Vacuum/fortran/ahg2msc.out +++ /dev/null @@ -1,345 +0,0 @@ - 256 mtheta mthin Number of poloidal nodes - -12 mlow lmin Lowest poloidal harmonic - 21 mhigh lmax Highest poloidal harmonic - 1 nn nadj Toroidal harmonic - 5.2000000000 qa qa1 Safety factor at plasma edge - -Poloidal Coordinate Theta: - - 0.0000000000E+00 3.9062500000E-03 7.8125000000E-03 1.1718750000E-02 - 1.5625000000E-02 1.9531250000E-02 2.3437500000E-02 2.7343750000E-02 - 3.1250000000E-02 3.5156250000E-02 3.9062500000E-02 4.2968750000E-02 - 4.6875000000E-02 5.0781250000E-02 5.4687500000E-02 5.8593750000E-02 - 6.2500000000E-02 6.6406250000E-02 7.0312500000E-02 7.4218750000E-02 - 7.8125000000E-02 8.2031250000E-02 8.5937500000E-02 8.9843750000E-02 - 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*icode, int *ilab, int *name_length) -{ - char name_wrk[81]; - int length; - int i, ibeg; - char *c; - -/* Find the first non-blank character in string "name" blank=32*/ - i = 0; - c = (name+i); - while ((int)*c == 32 || (int)*c == 0) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - ibeg = i; - while ((int)*c != 32 && (int)*c != 0 && i < 80) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - length = i; - - strncpy(name_wrk, name, i); - strncpy((name_wrk+i), "\0", 1); - -/* printf("%s length=%d\n", name_wrk, name_length); */ - - ofp[*ioc] = open(name_wrk, O_RDWR | O_CREAT, 0666); - printf("file descriptor = %d\n\n", ofp[*ioc]); - - return 0; -} - -int zcl_(int *ioc) -{ - close(ofp[*ioc]); - return 0; -} - -int zwr_(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_write, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ -/* offsets = *adres * WORD_LENGTH; */ - offsets = (*adres - 0) * WORD_LENGTH; - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_write = fwrite(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_write = write(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words written=%d\n", *nwords, num_write); -*/ - - return 0; -} - -int zrd_(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_read, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ - offsets = (*adres - 0 ) * WORD_LENGTH; - /* printf("In zrdc: offsets = %d ioc=%d ncurr=%d\n", offsets, *ioc, ncurr); -*/ - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_read = read(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_read = read(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words read=%d\n", *nwords, num_read); -*/ - - return 0; -} - - -int ZOP_(int *ioc, char *name, int *nsize, int *idisk, - int *icode, int *ilab, int *name_length) -{ - char name_wrk[81]; - int length; - int i, ibeg; - char *c; - -/* Find the first non-blank character in string "name" blank=32*/ - i = 0; - c = (name+i); - while ((int)*c == 32 || (int)*c == 0) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - ibeg = i; - while ((int)*c != 32 && (int)*c != 0 && i < 80) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - length = i; - - strncpy(name_wrk, name, i); - strncpy((name_wrk+i), "\0", 1); - -/* printf("%s length=%d\n", name_wrk, name_length); */ - - ofp[*ioc] = open(name_wrk, O_RDWR | O_CREAT, 0666); - printf("file descriptor = %d\n\n", ofp[*ioc]); - - return 0; -} - -int ZCL_(int *ioc) -{ - close(ofp[*ioc]); - return 0; -} - -int ZWR_(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_write, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ -/* offsets = *adres * WORD_LENGTH; */ - offsets = (*adres - 0) * WORD_LENGTH; - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_write = fwrite(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_write = write(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words written=%d\n", *nwords, num_write); -*/ - - return 0; -} - -int ZRD_(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_read, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ - offsets = (*adres - 0 ) * WORD_LENGTH; - /* printf("In zrdc: offsets = %d ioc=%d ncurr=%d\n", offsets, *ioc, ncurr); -*/ - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_read = read(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_read = read(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words read=%d\n", *nwords, num_read); -*/ - - return 0; -} - -int zop(int *ioc, char *name, int *nsize, int *idisk, - int *icode, int *ilab, int *name_length) -{ - char name_wrk[81]; - int length; - int i, ibeg; - char *c; - -/* Find the first non-blank character in string "name" blank=32*/ - i = 0; - c = (name+i); - while ((int)*c == 32 || (int)*c == 0) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - ibeg = i; - while ((int)*c != 32 && (int)*c != 0 && i < 80) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - length = i; - - strncpy(name_wrk, name, i); - strncpy((name_wrk+i), "\0", 1); - -/* printf("%s length=%d\n", name_wrk, name_length); */ - - ofp[*ioc] = open(name_wrk, O_RDWR | O_CREAT, 0666); - printf("file descriptor = %d\n\n", ofp[*ioc]); - - return 0; -} - -int zcl(int *ioc) -{ - close(ofp[*ioc]); - return 0; -} - -int zwr(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_write, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ -/* offsets = *adres * WORD_LENGTH; */ - offsets = (*adres - 0) * WORD_LENGTH; - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_write = fwrite(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_write = write(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words written=%d\n", *nwords, num_write); -*/ - - return 0; -} - -int zrd(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_read, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ - offsets = (*adres - 0 ) * WORD_LENGTH; - /* printf("In zrdc: offsets = %d ioc=%d ncurr=%d\n", offsets, *ioc, ncurr); -*/ - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_read = read(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_read = read(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words read=%d\n", *nwords, num_read); -*/ - - return 0; -} - - -int ZOP(int *ioc, char *name, int *nsize, int *idisk, - int *icode, int *ilab, int *name_length) -{ - char name_wrk[81]; - int length; - int i, ibeg; - char *c; - -/* Find the first non-blank character in string "name" blank=32*/ - i = 0; - c = (name+i); - while ((int)*c == 32 || (int)*c == 0) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - ibeg = i; - while ((int)*c != 32 && (int)*c != 0 && i < 80) { - /* printf("i=%d c=%c** c=%d\n",i,*c,*c); */ - i++; - c = (name+i); - } - length = i; - - strncpy(name_wrk, name, i); - strncpy((name_wrk+i), "\0", 1); - -/* printf("%s length=%d\n", name_wrk, name_length); */ - - ofp[*ioc] = open(name_wrk, O_RDWR | O_CREAT, 0666); - printf("file descriptor = %d\n\n", ofp[*ioc]); - - return 0; -} - -int ZCL(int *ioc) -{ - close(ofp[*ioc]); - return 0; -} - -int ZWR(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_write, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ -/* offsets = *adres * WORD_LENGTH; */ - offsets = (*adres - 0) * WORD_LENGTH; - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_write = fwrite(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_write = write(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words written=%d\n", *nwords, num_write); -*/ - - return 0; -} - -int ZRD(int *ioc, char *a, int *nwords, int *adres, int *lgivup, int *irr) -{ - int num_read, ncurr, offsets, nbytes; - - nbytes = *nwords * WORD_LENGTH; -/* ncurr = ftell(ofp[*ioc]); */ - offsets = (*adres - 0 ) * WORD_LENGTH; - /* printf("In zrdc: offsets = %d ioc=%d ncurr=%d\n", offsets, *ioc, ncurr); -*/ - lseek(ofp[*ioc], offsets, SEEK_SET); -/* num_read = read(a, sizeof(char), *nwords, ofp[*ioc]); */ - num_read = read(ofp[*ioc], a, nbytes); -/* printf("nwords=%d number of words read=%d\n", *nwords, num_read); -*/ - - return 0; -} diff --git a/src/Vacuum/fortran/makefile b/src/Vacuum/fortran/makefile deleted file mode 100644 index 8b32bb0c..00000000 --- a/src/Vacuum/fortran/makefile +++ /dev/null @@ -1,51 +0,0 @@ -# === CONFIGURABLE === -FC ?= gfortran # You can override this: `make FC=ifort` -FFLAGS ?= -fPIC -LDFLAGS ?= -shared -LIBS ?= -framework Accelerate -RECURSFLAG ?= -frecursive -LEGACYFLAG ?= -std=legacy -ZEROFLAG ?= -finit-local-zero -LIBSUFFIX ?= .dylib - -OUTLIB = libvac$(LIBSUFFIX) - -F90 = $(FC) $(FFLAGS) $(ZEROFLAG) $(RECURSFLAG) $(LEGACYFLAG) - -.f.o: - $(F90) -c $< -o $@ - -OBJS = \ - bzio.o \ - vacuum_global.o \ - vacuum_io.o \ - vacuum_ma.o \ - vacuum_math.o \ - vacuum_penn.o \ - vacuum_sprk2.o \ - vacuum_ut.o \ - vacuum_vac.o \ - test_kernel_data.o - -# targets - -all : $(OUTLIB) - -$(OUTLIB): $(OBJS) - $(FC) $(LDFLAGS) -o $@ $^ $(LIBS) - cp $(OUTLIB) ../../../deps/ - -clean: - rm -f *.o *.mod *.original *.dylib - -# dependencies - -bzio.o : vacuum_global.o -aleg_new.o : vacuum_global.o -vacuum_diag.o: vacuum_global.o -vacuum_io.o: vacuum_global.o -vacuum_ma.o: vacuum_global.o -vacuum_math.o: vacuum_global.o -vacuum_sprk2.o: vacuum_global.o -vacuum_ut.o: vacuum_global.o -vacuum_vac.o: vacuum_global.o diff --git a/src/Vacuum/fortran/test_kernel_data.f b/src/Vacuum/fortran/test_kernel_data.f deleted file mode 100644 index 5cd5a56a..00000000 --- a/src/Vacuum/fortran/test_kernel_data.f +++ /dev/null @@ -1,730 +0,0 @@ - MODULE test_kernel_data - USE vglobal_mod, ONLY: r8 - IMPLICIT NONE - - REAL(r8), DIMENSION(517) :: xobs = (/ - $ 2.2891936601349068,2.2890512254972086,2.2885180072000386, - $ 2.2875884889973639,2.2862683653518241,2.2845576619566828, - $ 2.2824678688740376,2.2800109623904166,2.2771855095257920, - $ 2.2739832176690040,2.2704366419999804,2.2665792435714733, - $ 2.2624000121538446,2.2578868040087579,2.2530764807150523, - $ 2.2480044647817028,2.2426629296799598,2.2370434401420991, - $ 2.2311832448940185,2.2251187488265707,2.2188440481771647, - $ 2.2123607483921113,2.2056827267355579,2.1988216439860828, - $ 2.1917857550467024,2.1845868465507934,2.1772259840858506, - $ 2.1697053120798548,2.1620333806447274,2.1542192978323857, - $ 2.1462635342508189,2.1381708626338916,2.1299374846558941, - $ 2.1215597084036939,2.1130419873734279,2.1043853956298624, - $ 2.0955963795539772,2.0866724874094458,2.0776414876129565, - $ 2.0685374877945009,2.0593390185778451,2.0500281806539324, - $ 2.0406283714512212,2.0311556320184860,2.0216141321857206, - $ 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0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 diff --git a/src/Vacuum/fortran/vac.in b/src/Vacuum/fortran/vac.in deleted file mode 100644 index 68e91e03..00000000 --- a/src/Vacuum/fortran/vac.in +++ /dev/null @@ -1,99 +0,0 @@ -! **** Running DCON's input *** -&MODES - mth = 480 - xiin(1:9) = 0 0 0 0 0 0 0 1 0 - lsymz = .TRUE. - leqarcw = 1 - lzio = 0 - lgato = 0 - lrgato = 0 -/ -&DEBUGS - checkd = .FALSE. - check1 = .FALSE. - check2 = .FALSE. - checke = .FALSE. - checks = .FALSE. - wall = .FALSE. - lkplt = 0 - verbose_timer_output = f -/ -&VACDAT - ishape = 6 - aw = 0.05 - bw = 1.5 - cw = 0 - dw = 0.5 - tw = 0.05 - nsing = 500 - epsq = 1e-05 - noutv = 37 - idgt = 6 - idot = 0 - idsk = 0 - delg = 15.01 - delfac = 0.001 - cn0 = 1 -/ -&SHAPE - ipshp = 0 - xpl = 100 - apl = 1 - a = 20 - b = 170 - bpl = 1 - dpl = 0 - r = 1 - abulg = 0.932 - bbulg = 17.0 - tbulg = 0.02 - qain = 2.5 -/ -&DIAGNS - lkdis = .FALSE. - ieig = 0 - iloop = 0 - lpsub = 1 - nloop = 128 - nloopr = 0 - nphil = 3 - nphse = 1 - xofsl = 0 - ntloop = 32 - aloop = 0.01 - bloop = 1.6 - dloop = 0.5 - rloop = 1.0 - deloop = 0.001 - mx = 21 - mz = 21 - nph = 0 - nxlpin = 6 - nzlpin = 11 - epslp = 0.02 - xlpmin = 0.7 - xlpmax = 2.7 - zlpmin = -1.5 - zlpmax = 1.5 - linterior = 2 -/ -&SPRK - nminus = 0 - nplus = 0 - mphi = 16 - lwrt11 = 0 - civ = 0.0 - sp2sgn1 = 1 - sp2sgn2 = 1 - sp2sgn3 = 1 - sp2sgn4 = 1 - sp2sgn5 = 1 - sp3sgn1 = -1 - sp3sgn2 = -1 - sp3sgn3 = -1 - sp3sgn4 = 1 - sp3sgn5 = 1 - lff = 0 - ff = 1.6 - fv = 1.6 1.6 1.6 1.6 1.6 1.0 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 -/ diff --git a/src/Vacuum/fortran/vacuum_global.f b/src/Vacuum/fortran/vacuum_global.f deleted file mode 100644 index f2c46179..00000000 --- a/src/Vacuum/fortran/vacuum_global.f +++ /dev/null @@ -1,290 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_alloc.f. -c dynamically allocates arrays. -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 0. vglobal_mod -c 1. global_alloc. -c 2. global_dealloc. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c subprogram 0. vglobal_mod. -c module declarations. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - MODULE vglobal_mod - IMPLICIT NONE - - INTEGER, PARAMETER :: r4_=SELECTED_REAL_KIND(6,37), - $ r8=SELECTED_REAL_KIND(13,307) - LOGICAL :: lsymz,check1,check2,lanal,lkdis,lpest1,lpless,wall, - $ lnova,checks,lfunin,checke,checkd,symvac, - $ verbose_timer_output, use_legacy_greens_function - - INTEGER, PARAMETER :: nc31=31,maxc1=100,maxa1=200,max2=3, - $ nccl3=72,numvar=100,ndima=2,ndim0=5,neqv1=1 - - CHARACTER(8) :: jobid - CHARACTER(60) :: seps - CHARACTER(128) :: ahgdir = "." - CHARACTER(128) :: ahgfile = "ahg2msc.out" - CHARACTER(nccl3) :: dskout,cdfin,cdfout - CHARACTER(maxc1) :: ctitle - CHARACTER(maxa1) :: astrng - CHARACTER(nc31) :: vname, vrname(numvar), recnam, attnam - - INTEGER :: nsf0=0,nths0,nfm,mtot,ntsin0,ntsin,nsf,nfe,nths,nths2, - $ nfm2,nwrkl,nthsq,nthsq4,nfnt4,nfm21,outpest,outmod,outmap1, - $ idsk,iloop,inmode,inpest,intty,iodsk,iomode,iotty, - $ iovac,ipshp,ladj,ldcon,leqarcw,lfele,lfour,lgato,lj, - $ lkplt,lnsav,lrgato,lspark,lxsav,lzio,m,mdiv,mfel,mj,mp,mp0, - $ mp1,mth,mth1,mth2,mthin,mthin1,mthin2,ndfel,neigvc,neigvl, - $ nj,nosurf,nunst,nx,nz,nzd1,nzd2,idgt,idot,ieig,ieps,ishape, - $ ismth,lff,lmax1,lpsub,lwrt11,mphi,mx,mz,nloop,nloopr,nminus, - $ noutv,nph,nphil,nphse,nplus,nsing,ntloop,cdfid,nd1,nd2,nd12, - $ neqv2,neqv3,neqv4,neqv5,nfmsq,ndimlp, - $ nxlpin,nzlpin,lgpec,linterior,ixx,ixn,izx - - INTEGER, DIMENSION(3) :: nout,nout0 - INTEGER, DIMENSION(5) :: nw - INTEGER, DIMENSION(20) :: ntitle - INTEGER, DIMENSION(:), POINTER :: lmax,lmin,lfm - - REAL(r8) :: alx,alz,betag,betai,betap,betav,bit,ctroy,dat,date0, - $ datem,datev,datime,dth,dthin,eqdr,eqdt,eqpi,fa1,five, - $ four,ga1,gp0,half,one,p0,psilim,psimin,psipls,pye,qa1, - $ r2,r4,r6,rgato,seven,three,time0,timem,timev,two,twopi, - $ twopi2,upsiln,x000,xma,xzero,z47,z48,z49,z54,z55,z56,z57, - $ zero,zma,n,no2pi,no2pi2,aval0 - REAL(r8) :: a,abulg,aloop,apl,aval,aw,b,bbulg,bloop,bpl,bval,bw, - $ civ,cn0,cw,delfac,delg,deloop,delx,delz,dloop,dpl,dw,epsq, - $ ff,qain,rloop,sp2sgn1,sp2sgn2,sp2sgn3,sp2sgn4,sp2sgn5, - $ sp3sgn1,sp3sgn2,sp3sgn3,sp3sgn4,sp3sgn5,tbulg,tw,xofsl,xpl, - $ xs,xt,xtp,zs,zt,ztp, - $ epslp,xlpmin,xlpmax,zlpmin,zlpmax,plrad,xmaj,zmxp - - REAL(r8) :: kernelsign - REAL(r8), DIMENSION(numvar) :: vn,vrnat,vrtype - REAL(r8), DIMENSION(numvar,ndima) :: vvdims - REAL(r8), DIMENSION(ndima) :: count,start,vdims,vindx - REAL(r8), DIMENSION(ndim0) :: dimsiz - - REAL(r8), DIMENSION(9) :: xiin=(/0,0,0,0,0,0,0,1,0/) - REAL(r8), DIMENSION(100) :: eigval - REAL(r8), DIMENSION(:), POINTER :: xirc,xirs,xiic,xiis, - $ grpssq,xsq,gpsdth,xsqdth,xjacob,delta,xjdtxj,xsdtxs, - $ gpdtgp,slngth,xinf,zinf,xplap,zplap,fv,val0, - $ xobp,zobp,xloop,zloop - REAL(r8), DIMENSION(:,:), POINTER :: vacmat,vacmatu,vacmtiu,vals - - REAL(r8), DIMENSION(:), POINTER :: xwal,zwal,xwalp,zwalp,cnqd,snqd - REAL(r8), DIMENSION(:,:), POINTER :: coslt,cplai,cplar,cpwi,cpwr, - $ cslth,cwali,cwalli,cwallr,cwalr,cwpti,cwptr,cwwti,cwwtr, - $ sinlt,snlth,wrktr1,wrktr2,gatovac - - LOGICAL :: farwal = .false. - INTEGER :: mw,jtop,jbot - REAL(r8), DIMENSION(:), POINTER :: xpass,zpass,xpla,zpla - REAL(r8), DIMENSION(:,:), POINTER :: grwp,grri,chiwc,chiws - - REAL(r8), DIMENSION(:), POINTER :: bxpwtr,bxpwti,bzpwtr,bzpwti, - $ bnpwtr,bnpwti,bnlr,bnli,xilr,xili,xigr,xigi,bnkr,bnki, - $ bthpr,bthpi,gpsjp,bnpptr,bnppti,chipr,chipi - REAL(r8), DIMENSION(:,:), POINTER :: bxpwr,bxpwi,bzpwr,bzpwi, - $ bnpwr,bnpwi - - ! dcon interface - LOGICAL :: dcon_set = .FALSE. - INTEGER :: mth_dcon,lmin_dcon,lmax_dcon,nn_dcon - REAL(r8) :: qa1_dcon - REAL(r8), DIMENSION(:), ALLOCATABLE :: x_dcon, z_dcon, delta_dcon - - CONTAINS -c----------------------------------------------------------------------- -c subprogram 1. global_alloc. -c dynamically allocates arrays. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE global_alloc(nths0,nfm,mtot,ntsin0) - - INTEGER, INTENT(IN) :: nths0,nfm,mtot,ntsin0 -c----------------------------------------------------------------------- -c define derived sizes. -c----------------------------------------------------------------------- - use_legacy_greens_function = .false. - ntsin=ntsin0+5 - nsf=nsf0+1 - nfe=1+nsf/2 - nths=nths0+5 !! - nths2=2*nths - nfm2=2*nfm - nwrkl=nths2**2+3*nths2 - nthsq=nths*nths - nthsq4=4*nthsq - nfnt4=4*nths*nfm - nfm21=2*nfm+1 - nd1=ntsin - nd2=nsf - nd12=nd1*nd2 - neqv2=(nfm-1)/2+1 - neqv3=nfm+1 - neqv4=3*(nfm+1)/2 - neqv5=2*nfm+1 - nfmsq=nfm*nfm -c----------------------------------------------------------------------- -c allocate arrays. -c----------------------------------------------------------------------- - ALLOCATE(lmax(nfe),lmin(nfe)) - ALLOCATE(xirc(nfm),xirs(nfm),xiic(nfm),xiis(nfm),fv(nfm)) - ALLOCATE(grpssq(nths),xsq(nths),gpsdth(nths),xsqdth(nths), - $ delta(nths),xjdtxj(nths),xsdtxs(nths), - $ gpdtgp(nths),slngth(nths),xinf(nths),zinf(nths),xplap(nths), - $ zplap(nths)) - ALLOCATE(vacmat(nfm,nfm),vacmatu(nfm,nfm),vacmtiu(nfm,nfm)) - ALLOCATE(val0(nd12),vals(nd1,nd2)) - ALLOCATE(xwal(nths),zwal(nths),xwalp(nths),zwalp(nths),cnqd(nths) - $ ,snqd(nths)) - ALLOCATE(cslth(nths,nfm),snlth(nths,nfm),coslt(nths,nfm), - $ sinlt(nths,nfm),cplar(nths,nfm),cplai(nths,nfm), - $ cwallr(nths,nfm),cwalli(nths,nfm),cwalr(nths,nfm), - $ cwali(nths,nfm),cpwr(nths,nfm),cpwi(nths,nfm), - $ cwwtr(nths,nfm),cwwti(nths,nfm),cwptr(nths,nfm), - $ cwpti(nths,nfm),wrktr1(nfm,nths),wrktr2(nfm,nths)) - ALLOCATE(xpass(nths),zpass(nths),chiwc(nths,nfm),chiws(nths,nfm)) - ALLOCATE(grwp(nths,nths),grri(nths2,nfm2)) - ALLOCATE(gatovac(nfm,nfm)) - ALLOCATE(bxpwr(nths,nfm),bxpwi(nths,nfm),bzpwr(nths,nfm), - $ bzpwi(nths,nfm),bnpwr(nths,nfm),bnpwi(nths,nfm)) - ALLOCATE(bxpwtr(nths),bxpwti(nths),bzpwtr(nths),bzpwti(nths), - $ bnpwtr(nths),bnpwti(nths)) - ALLOCATE(xilr(nths),xili(nths),xigr(nths),xigi(nths), - $ bnkr(nths),bnki(nths),bthpr(nths),bthpi(nths), - $ gpsjp(nths),bnpptr(nths),bnppti(nths), - $ chipr(nths),chipi(nths)) - ALLOCATE(lfm(nfm),bnlr(nfm),bnli(nfm)) -c----------------------------------------------------------------------- -c zero arrays. -c----------------------------------------------------------------------- - lmax=0 - lmin=0 - xirc=0 - xirs=0 - xiic=0 - xiis=0 - fv=0 - grpssq=0 - xsq=0 - gpsdth=0 - xsqdth=0 - delta=0 - xjdtxj=0 - xsdtxs=0 - gpdtgp=0 - slngth=0 - xinf=0 - zinf=0 - xplap=0 - zplap=0 - vacmat=0 - vacmatu=0 - vacmtiu=0 - val0=0 - vals=0 - xwal=0 - zwal=0 - xwalp=0 - zwalp=0 - cnqd=0 - snqd=0 - cslth=0 - snlth=0 - coslt=0 - sinlt=0 - cplar=0 - cplai=0 - cwallr=0 - cwalli=0 - cwalr=0 - cwali=0 - cpwr=0 - cpwi=0 - cwwtr=0 - cwwti=0 - cwptr=0 - cwpti=0 - wrktr1=0 - wrktr2=0 - xpass=0 - zpass=0 - chiwc=0 - chiws=0 - grwp=0 - grri=0 - gatovac=0 - bxpwr=0 - bxpwi=0 - bzpwr=0 - bzpwi=0 - bnpwr=0 - bnpwi=0 - bxpwtr=0 - bxpwti=0 - bzpwtr=0 - bzpwti=0 - bnpwtr=0 - bnpwti=0 - bnlr=0 - bnli=0 -c----------------------------------------------------------------------- -c set pointers. -c----------------------------------------------------------------------- - xpla => xinf - zpla => zinf -c----------------------------------------------------------------------- -c terminate. -c----------------------------------------------------------------------- - RETURN - END SUBROUTINE global_alloc -c----------------------------------------------------------------------- -c subprogram 2. global_dealloc. -c deallocates arrays. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE global_dealloc -c----------------------------------------------------------------------- -c deallocate arrays. -c----------------------------------------------------------------------- - DEALLOCATE(lmax,lmin) - DEALLOCATE(xirc,xirs,xiic,xiis,fv) - DEALLOCATE(grpssq,xsq,gpsdth,xsqdth,delta,xjdtxj,xsdtxs, - $ gpdtgp,slngth,xplap,zplap,xinf,zinf) - DEALLOCATE(vacmat,vacmatu,vacmtiu) - DEALLOCATE(val0,vals) - DEALLOCATE(xwal,zwal,xwalp,zwalp,cnqd,snqd) - DEALLOCATE(cslth,snlth,coslt,sinlt,cplar,cplai,cwallr,cwalli, - $ cwalr,cwali,cpwr,cpwi,cwwtr,cwwti,cwptr,cwpti,wrktr1,wrktr2) - DEALLOCATE(xpass,zpass,chiwc,chiws) -c----------------------------------------------------------------------- -c modification. -c----------------------------------------------------------------------- - DEALLOCATE(grwp,grri) -c----------------------------------------------------------------------- - DEALLOCATE(gatovac) - DEALLOCATE(bxpwr,bxpwi,bzpwr,bzpwi,bnpwr,bnpwi) - DEALLOCATE(bxpwtr,bxpwti,bzpwtr,bzpwti,bnpwtr,bnpwti) - DEALLOCATE(xilr,xili,xigr,xigi,bnkr,bnki,bthpr,bthpi, - $ gpsjp,bnpptr,bnppti,chipr,chipi) - DEALLOCATE(lfm,bnlr,bnli) -c----------------------------------------------------------------------- -c terminate. -c----------------------------------------------------------------------- - RETURN - END SUBROUTINE global_dealloc - END MODULE vglobal_mod diff --git a/src/Vacuum/fortran/vacuum_io.f b/src/Vacuum/fortran/vacuum_io.f deleted file mode 100644 index 342d328a..00000000 --- a/src/Vacuum/fortran/vacuum_io.f +++ /dev/null @@ -1,573 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_io.f. -c input and output. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. inglo -c 2. cardmo -c 3. dskmd1 -c 4. readahg -c 5. readvacin -c 6. readvacin5 -c 7. adjustm -c 8. setahgdir -c----------------------------------------------------------------------- -c subprogram 1. inglo. -c read data from inadjv. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine inglo - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nmap1 = 0 - nmpdsk = 0 - ss = 0. - if ( ladj .eq. 1 ) then - open ( 50, file='inadjv', status='old', form='formatted' ) - return - endif - if ( ldcon .eq. 1 ) return - if ( lgpec .eq. 1 ) return - if ( lrgato .eq. 1 ) return - if ( lzio .eq. 1 ) then - call shellb - call zop ( outmap1, mp1, nmap1, ndsk, ss, 100 ) - call zop ( iomode, mp0, nmpdsk, ndsk, ss, 100 ) - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - 100 call errmes ( outmod, 'inglo' ) - end -c----------------------------------------------------------------------- -c subprogram 2. cardmo. -c read data from modivmc. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine cardmo - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - logical, save :: warned = .false. - - character(8) under - data under / "--------" / - namelist / modes / mfel,m,mth,n,mdiv,lsymz,lfunin,xiin, - . leqarcw, lpest1, lnova, ladj, ldcon, lgato, lrgato, lspark, - $ ismth, lzio, mp0, mp1 - namelist / debugs / checkd, checke, check1, check2, checks, - $ wall, lkplt, verbose_timer_output - namelist / vacdat / ishape,aw,bw,cw,dw,tw,nsing,epsq,noutv,delg, - . idgt, idot, delfac, idsk, cn0, use_legacy_greens_function - namelist / diagns / lkdis, ieig, iloop, - $ nloop,nloopr, - . lpsub, nphil, nphse, mx, mz, nph, xofsl, - $ aloop, bloop, dloop, rloop, ntloop, deloop, - $ nxlpin,nzlpin,epslp,xlpmin,xlpmax,zlpmin,zlpmax,linterior - namelist / shape / ipshp, xpl, apl,bpl, dpl, a, b, r, - $ abulg, bbulg, tbulg, qain -c----------------------------------------------------------------------- -c formats. -c----------------------------------------------------------------------- - 8001 format ( a20 ) - 8002 format ( a60 ) - 600 format ( 2i5, 1pe12.5 ) - 9000 format ( 1x, 20a4, / 1x, 2a10 / ) - 9001 format ( 1x, " form of data input" ) - 9002 format ( 1x, " card data input" ) - 9003 format(1x," lmax,lmin=",2i4," m,mdiv=",2i4,3x," n=",e12.4,/) - 9100 format ( 20a4 ) -c----------------------------------------------------------------------- -c read and write input data. -c----------------------------------------------------------------------- - rewind inmode - read ( inmode, 9100 ) (ntitle(i),i=1,20) - write ( outmod, 9000 ) ntitle, ( under,i=1,2 ) - write ( outmod, 9001 ) - write ( outmod,9002 ) - rewind inmode ! make robust to namelists with no title line - read(inmode,modes) - read(inmode,debugs) - read(inmode,vacdat) - read(inmode,shape) - read(inmode,diagns) - write(outmod,modes) - write(outmod,debugs) - write(outmod,vacdat) - write(outmod,shape) - write(outmod,diagns) -c----------------------------------------------------------------------- -c override namelist r in favor of r=0 for DCON -c----------------------------------------------------------------------- - if(r/=0.0)then - if(.not. warned) write(*,'(1x,a,es9.2,a,i2)') - $ " > Vacuum code overriding r",r," from vac.in, to be",0 - r=0.0 - warned = .true. - endif -c----------------------------------------------------------------------- -c subsidiary computations. -c----------------------------------------------------------------------- - write ( outpest, 9003 )lmax(1),lmin(1),m,mdiv,n - mp = m + 1 - nosurf = ( mp - 1 ) * mdiv + 1 - mth = nths0 - mth1 = mth + 1 - mth2 = mth1 + 1 - no2pi = n / twopi - no2pi2 = no2pi * no2pi - dth = twopi / mth - r2 = r * r - r4 = r2 * r2 - r6 = r4 * r2 - lfour = 1 - lfele = 0 - if ( lgato .eq. 1 ) then - lfour = 0 - lfele = 1 - endif - if ( (a .ge. 10.0) .or. (lspark .ne. 0) ) then - farwal = .true. -c else -c farwal = .false. - endif -c----------------------------------------------------------------------- -c special stuff for lspark .ne. 0. -c----------------------------------------------------------------------- - if ( lspark .ne. 0 ) then - open (iodsk,file='vdata',status='unknown',form='formatted' ) - $ - write ( iodsk,8001) mp1 - write ( iodsk,8002) - write ( iodsk,8002) - write ( iodsk, 600 ) lmin(1), lmax(1), n - lnsav = lmin(1) - lxsav = lmax(1) - lmin(1) = - lmax(1) - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 3. dskmd1. -c -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine dskmd1 - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension vecin(ntsin), xigr_(ntsin), xigi_(ntsin) - dimension zerov(nths), thgr(nths) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 701 format (/, 'mfel, rgato,ndum2, ngato, ga1, fa1, qa1 = ',/, - $ i5,1pe13.5,2i5,1p3e13.5, / ) - 601 format ( 4i5, e13.5 ) - 602 format ( /,'mthin, lmin,lmax, nadj, ga1, fa1, qa1 = ',/, - $ 4i5, 1p3e13.5, / ) - 605 format ( 10e13.5 ) - 702 format (/, 'mthin, lmin,lmax, ndcon, ga1, fa1, qa1 = ',/, - $ 4i5, 1p3e13.5, / ) - 5702 format (/, 'mthin, lmin,lmax, n, qa1 = ',/, - $ 3i5, 2e13.5, / ) - 8011 format ( 5i4, 1p5e14.6 ) - 8021 format ( 1p10e14.6 ) - 9600 format ( /, 1x, " mp1, qa1, fa1, ga1 = ", a,1p3e12.5,/ ) - 8031 format ( 1p3e14.6 ) - 9000 format (1x,20a4,/, - $ 1x, " equilibrium from disk, calculated on date",a) - 9100 format(20a4,a10) - 9200 format(10i5) - 9300 format(4e20.13) - 111 format ( /,"<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>>",/, - $ 1x, "ipshp = ", i3, " qa1 = ", e13.5,/, - $ "<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>",/ ) - 9500 format ( /, 1x, "Mapping parameters, nsf0, ntsin0 = ", 2i5,/, - $ 1x, "Working parameter, nths0 = ", i5,/, - $ 1x, "nfm, mtot = ", 2i5,/, - $ 1x, "r, upsiln, mthin, nosurf = ", 1p2e12.5, 2i5,/ ) -c----------------------------------------------------------------------- -c defaults. -c----------------------------------------------------------------------- - do i = 1, mth2 - delta(i) = 0.0 - enddo - r = sqrt(r2) -c----------------------------------------------------------------------- -c dcon inputs. -c----------------------------------------------------------------------- - if ( ldcon .eq. 1 ) then - lzio = 1 - call readahg (ahgfile, ahgdir, mthin,lmin(1),lmax(1),ndcon,qa1, - $ xinf, zinf, delta, vecin, mth ) - mthin1 = mthin + 1 - mthin2 = mthin1 + 1 - n = ndcon - write ( iotty, 702 ) mthin,lmin(1),lmax(1),ndcon, ga1,fa1,qa1 - write ( outmod,702 ) mthin,lmin(1),lmax(1),ndcon, ga1,fa1,qa1 - go to 1111 - endif -c----------------------------------------------------------------------- -c gpec inputs. -c----------------------------------------------------------------------- - if ( lgpec .eq. 1 ) then - lzio = 1 - ieig = 0 -c - dx0 = 0.0 - dx1 = 0.0 - - call readvacin5 ( nxlpin,nzlpin, xlpmin,xlpmax, zlpmin,zlpmax, - $ mthin, lmin(1),lmax(1),ntor, qa1, - $ xinf,zinf,delta, vecin, bnlr,bnli, - $ mth,dx0,dx1, ieig) - - mthin1 = mthin + 1 - mthin2 = mthin1 + 1 - n = ntor - write ( iotty, 5702 ) mthin,lmin(1),lmax(1),n, qa1 - write ( outmod,5702 ) mthin,lmin(1),lmax(1),n, qa1 - go to 1111 - endif - - 1111 continue - do i = 1, mth1 - thgr(i) = (i-1)*dth - enddo - - call arrays -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - 999 call errmes(outpest,'dskmd1') - end -c----------------------------------------------------------------------- -c subprogram 4. readahg. -c read data from dcon. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine readahg (ahgfile, ahgdir, mthin,lmin,lmax,ndcon,qa1, - $ xinf, zinf, delta, vecin, mth ) - USE vglobal_mod, ONLY: r8 - use vglobal_mod, only: dcon_set, mth_dcon, lmin_dcon,lmax_dcon, - $ nn_dcon, qa1_dcon, x_dcon, z_dcon, delta_dcon - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character(128) ahgdir - character(128) ahgfile - integer mthin,lmin,lmax,ndcon,ith - dimension xinf(*), zinf(*), delta(*), vecin(*) -c----------------------------------------------------------------------- -c don't bother with file io is passed in memory. -c----------------------------------------------------------------------- - if(dcon_set)then - mthin = mth_dcon - lmin = lmin_dcon - lmax = lmax_dcon - ndcon = nn_dcon - qa1 = qa1_dcon - mthin1 = mthin + 1 - ! note mthin is 1 less than len(x_dcon). bug? or vac doesn't close theta? - call trans ( x_dcon,mthin, xinf,mth ) - call trans ( z_dcon,mthin, zinf,mth ) - call trans ( delta_dcon,mthin, delta,mth ) - vecin(1:mthin) = delta_dcon(1:mthin) - else -c----------------------------------------------------------------------- -c read data. -c----------------------------------------------------------------------- - print *, "Using ahgfile: ", ahgfile - open(unit=3,file=trim(ahgdir)//'/'//trim(ahgfile)) - read(3,*)mthin - read(3,*)lmin - read(3,*)lmax - read(3,*)ndcon - read(3,*)qa1 - mthin1 = mthin + 1 - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call trans ( vecin,mthin, xinf,mth ) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call trans ( vecin,mthin, zinf,mth ) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call trans ( vecin,mthin, delta,mth ) - close(unit=3) - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 5. readvacin. -c read gato input. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine readvacin ( mthin,rgato,ndum2,ngato,qa1,xinf,zinf, - $ delta, vecin,xigr,xigi, mth,mth1,mth2, ndfel, dx0, - $ ireig, nout1, nout2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer mthin,ndum2,ngato,ith - dimension xinf(*), zinf(*), delta(*), vecin(*), xigr(*),xigi(*) -c----------------------------------------------------------------------- -c read input. -c----------------------------------------------------------------------- - open(unit=3,file='vacin') - write ( nout1, '(/"reading VACIN",/)' ) - write ( nout2, '(/"reading VACIN",/)' ) - read(3,'(//)') - read(3,*)mthin - read(3,*)rgato - read(3,*)ndum2 - read(3,*)ngato - read(3,*)qa1 - mthin1 = mthin + 1 - call adjustm ( mth, mthin, mth1,mth2, ndfel, nout1,nout2 ) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call transdx ( vecin,mthin, xinf,mth, dx0 ) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call transdx ( vecin,mthin, zinf,mth, dx0 ) - read(3,'(//)') - read(3,*)(vecin(ith),ith=1,mthin1) - call transdx ( vecin,mthin, delta,mth, dx0 ) - if ( ireig .eq. 8 ) then - read(3,'(//)') - read(3,*)(xigr(ith),ith=1,mthin1) - read(3,'(//)') - read(3,*)(xigi(ith),ith=1,mthin1) - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - close(unit=3) - 2 return - end -c----------------------------------------------------------------------- -c subprogram 6. readvacin5. -c read vacin5 input. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine readvacin5 ( nlx,nlz, xll,xlr, zlb,zlt, - $ mthin, lmin,lmax,ntor, qa1, - $ xinf,zinf, delta, vecin, bnlr,bnli, - $ mth, dx0,dx1, ireig5) - USE vglobal_mod, ONLY: r8 -c----------------------------------------------------------------------- -c read input. -c----------------------------------------------------------------------- - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - INTEGER mthin, lmin, lmax, ntor, ith,jl, jmax1 - DIMENSION xinf(*),zinf(*),delta(*), vecin(*),bnlr(*), bnli(*) -c----------------------------------------------------------------------- -c read scalars. -c----------------------------------------------------------------------- - OPEN ( UNIT=7, FILE='vacin5' ) - READ(7,'(/)') - READ(7,*) nlx - READ(7,*) nlz - READ(7,*) xll - READ(7,*) xlr - READ(7,*) zlb - READ(7,*) zlt - READ(7,*) mthin - READ(7,*) lmin - READ(7,*) lmax - READ(7,*) ntor - READ(7,*) qa1 - - mthin1 = mthin + 1 - jmax1 = lmax - lmin + 1 -c----------------------------------------------------------------------- -c read arrays. -c----------------------------------------------------------------------- - - READ(7,'(/)') - READ(7,*)(vecin(ith),ith=1,mthin1) - READ(7,'(/)') - READ(7,*)(vecin(ith),ith=1,mthin1) - READ(7,'(/)') - READ(7,*)(vecin(ith),ith=1,mthin1) - CALL transdxx ( vecin,mthin, xinf,mth, dx0,dx1) - READ(7,'(/)') - READ(7,*)(vecin(ith),ith=1,mthin1) - CALL transdxx ( vecin,mthin, zinf,mth, dx0,dx1) - - !Xwall - ! READ(7,*)(vecin(ith),ith=1,mthin1) - ! CALL transdxx ( vecin,mthin, xwin,mth, dx0,dx1 ) - - !Zwall - ! READ(7,*)(vecin(ith),ith=1,mthin1) - ! CALL transdxx ( vecin,mthin, zwin,mth, dx0,dx1 ) - - READ(7,'(/)') - READ(7,*)(vecin(ith),ith=1,mthin1) - CALL transdxx ( vecin,mthin, delta,mth, dx0,dx1) - READ(7,'(/)') - READ(7,*)(bnlr(jl),jl=1,jmax1) - READ(7,'(/)') - READ(7,*)(bnli(jl),jl=1,jmax1) - CLOSE ( UNIT=7 ) -c----------------------------------------------------------------------- -c terminate routine. -c----------------------------------------------------------------------- - RETURN - END -c----------------------------------------------------------------------- -c subprogram 7. adjustm. -c read netcdf data. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine adjustm ( mth, mfel, mth1,mth2, ndfel, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - if ( mth .eq. mfel ) then - ndfel = 1 - return - endif - mth00 = mth - ndfel = mth / mfel - if ( ndfel .lt. 1 ) ndfel = 1 - ndfel = ( (ndfel+1)/2 ) * 2 - mth = ndfel * mfel - if ( mth00 .ne. mth ) then - mth1 = mth + 1 - mth2 = mth1 + 1 - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end - -c----------------------------------------------------------------------- -c subprogram 7. setahgdir. -c set path to dcon outputs in case they aren't in the current dir. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine setahgdir ( directory ) - use vglobal_mod - character(len=*), intent(in) :: directory -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - ahgdir = directory -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end - -c----------------------------------------------------------------------- -c subprogram 7. set_surface_params. -c In memory io for DCON -c Speedup over original ascii io (readahg) for multiple calls -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine set_surface_params ( mthin,lmin,lmax,nnin,qa1in,xin, - $ zin, deltain ) - USE vglobal_mod, ONLY: r8 - use vglobal_mod, only: dcon_set, mth_dcon, lmin_dcon,lmax_dcon, - $ nn_dcon, qa1_dcon, x_dcon, z_dcon, delta_dcon - integer :: mthin,lmin,lmax,nnin,mthin1,mthin5,i - real(r8) :: qa1in - real(r8), dimension(*) :: xin, zin, deltain -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - mthin1 = mthin + 1 - mthin5 = mthin1 + 4 - if(dcon_set) call unset_surface_params - allocate(x_dcon(mthin5), z_dcon(mthin5), delta_dcon(mthin5)) - mth_dcon = mthin - lmin_dcon = lmin - lmax_dcon = lmax - nn_dcon = nnin - qa1_dcon = qa1in - x_dcon(1:mthin1) = xin(1:mthin1) - z_dcon(1:mthin1) = zin(1:mthin1) - delta_dcon(1:mthin1) = deltain(1:mthin1) - - do i=1,5 - x_dcon(mthin+i) = x_dcon(i) - z_dcon(mthin+i) = z_dcon(i) - delta_dcon(mthin+i) = delta_dcon(i) - enddo - - dcon_set = .TRUE. -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end - -c----------------------------------------------------------------------- -c subprogram 8. unset_surface_params. -c Tell vacuum to ignore in-memory dcon params and read ascii values -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine unset_surface_params - use vglobal_mod, only: dcon_set, x_dcon, z_dcon, delta_dcon -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - deallocate(x_dcon, z_dcon, delta_dcon) - dcon_set = .FALSE. -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end diff --git a/src/Vacuum/fortran/vacuum_ma.f b/src/Vacuum/fortran/vacuum_ma.f deleted file mode 100644 index 1ad3060c..00000000 --- a/src/Vacuum/fortran/vacuum_ma.f +++ /dev/null @@ -1,1055 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_ma.f. -c Main routines for Morrell Chance's vacuum eigenvalue code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. mscvac -c 2. mscfld -c 3. defglo -c 4. ent33 -c 5. funint -c 6. make_bltobp -c 7. diaplt -c 8. pickup -c 9. loop -c 10. chi - - module vacuum_mod - ! implicit none - contains - - -c----------------------------------------------------------------------- -c subprogram 1. mscvac. -c calculate vacuum response matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mscvac(wv,mpert,mtheta,mthvac,complex_flag_in, - $ kernelsignin,wall_flag_in,farwall_flag_in,grrio, - $ xzptso,op_ahgfile) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8) :: kernelsignin - integer mpert,mtheta,mthvac - complex(r8) wv(mpert,mpert) - integer, intent(in) :: complex_flag_in,wall_flag_in, - $ farwall_flag_in - ! logical, intent(in) :: complex_flag,wall_flag,farwall_flag - logical :: complex_flag, wall_flag, farwall_flag - REAL(r8) :: grrio(2*(mthvac+5),mpert*2),xzptso(mthvac+5,4) - - complex(r8), parameter :: ifac=(0,1) - dimension xi(nfm), xii(nfm), xilnq(nfm), xiilnq(nfm) - character(len=*), intent(in), optional :: op_ahgfile - - if (present(op_ahgfile)) then - ahgfile = trim(op_ahgfile) - else - ahgfile = 'ahg2msc.out' - endif - - if (complex_flag_in == 1) then - complex_flag = .TRUE. - else - complex_flag = .FALSE. - end if - - if (wall_flag_in == 1) then - wall_flag = .TRUE. - else - wall_flag = .FALSE. - end if - - if (farwall_flag_in == 1) then - farwall_flag = .TRUE. - else - farwall_flag = .FALSE. - end if - -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format( //,4x, "omsq=",e12.5,/, - $ 4x, "i",3x,"l",3x,"xi-edge",5x,"xi*(l-nq)", - $ /, 101(1x,2i4,1p2e12.4,/),/ ) - 20 format( i5 ) - 30 format( e12.5,/,(8e12.5) ) - 40 format( //,4x, "omsq=",e12.5,/, - $ 4x, "i",3x,"l",3x,"xi-edge",5x,"xi*(l-nq)",2x, - $ "xii-edge",5x,"xii*(l-nq)", - $ /, 101(1x,2i4,1p4e12.4,/),/ ) -c----------------------------------------------------------------------- -c allocate space. -c----------------------------------------------------------------------- - kernelsign=kernelsignin - ntsin0=mtheta+1 - nths0=mthvac - nfm=mpert - mtot=mpert - call global_alloc(nths0,nfm,mtot,ntsin0) - farwal=.false. - IF (farwall_flag) farwal=.true. -c----------------------------------------------------------------------- -c initialization. -c----------------------------------------------------------------------- - call defglo(mthvac) - ldcon = 1 - lgpec = 0 - open (iotty,file='mscvac.out',status='unknown') - open (outpest,file='pestotv',status='unknown',form='formatted') - IF (wall_flag) THEN - open (inmode,file='vac_wall.in',status='old', form='formatted') - ELSE - open (inmode,file='vac.in',status='old', form='formatted' ) - ENDIF - open (outmod,file='modovmc',status='unknown', form='formatted' ) - call msctimer ( outmod, "top of main" ) - call ent33 - - If ( lspark .ne. 0 ) call testvec - if ( ieig .eq. 0 ) goto 99 - jmax1 = lmax(1) - lmin(1) + 1 - do j1 = 1, jmax1 - l1 = j1 + lmin(1) - 1 - lfm(j1) = l1 - xi(j1) = 0.0 - xii(j1) = 0.0 - enddo -c----------------------------------------------------------------------- -c main conditional. -c----------------------------------------------------------------------- - if(ieig .eq. 1)then - do l = 1, jmax1 - xilnq(l) = ( lfm(l)-n*qa1 ) * xi(l) - enddo - write(outmod,10)omsq,( l,lfm(l),xi(l),xilnq(l),l=1,jmax1) - goto 99 - elseif(ieig .eq. 4)then - open ( 60, file='outidst', status='old', form='formatted' ) - mflag=1 - do while(mflag .ne. 0) - read ( 60,20 ) mflag -c if ( mflag .eq. 0 )exit - enddo - read ( 60,30 ) omsq, ( xi(l),l = 1,jmax1 ) - elseif(ieig .eq. 5)then - do j1 = 1, jmax1 - xi(j1) = xiin(j1) - enddo - elseif(ieig .eq. 8)then - do j1 = 1, jmax1 - xii(j1) = xirc(j1) - xiis(j1) - xi(j1) = xiic(j1) + xirs(j1) - enddo - endif -c----------------------------------------------------------------------- -c write output. -c----------------------------------------------------------------------- - do l = 1, jmax1 - xilnq(l) = ( lfm(l)-n*qa1 ) * xi(l) - xiilnq(l) = ( lfm(l)-n*qa1 ) * xii(l) - enddo - write ( outmod,40 ) omsq, ( l,lfm(l),xi(l),xilnq(l), - $ xii(l),xiilnq(l), l = 1,jmax1 ) -c----------------------------------------------------------------------- -c copy vacuum response matrix to output. -c----------------------------------------------------------------------- - 99 continue - IF(complex_flag)THEN - wv=vacmat+ifac*vacmtiu - ELSE - wv=vacmat - ENDIF -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - call msctimer ( outmod, "end of main" ) - close(iotty) - close(outpest) - close(inmode) - close(outmod) - grrio(:,:)=grri(:,:) - xzptso(:,1)=xinf(:) - xzptso(:,2)=zinf(:) - xzptso(:,3)=xwal(:) - xzptso(:,4)=zwal(:) - call global_dealloc - call cleanup - return - end -c----------------------------------------------------------------------- -c subprogram 2. mscfld. -c calculate vacuum field. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mscfld(wv,mpert,mtheta,mthvac,complex_flag, - $ lx,lz,vgdl,vgdx,vgdz,vbx,vbz,vbp,op_ahgfile) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - integer mpert,mtheta,mthvac - complex(r8) wv(mpert,mpert) - logical, intent(in) :: complex_flag - - integer, dimension(0:lx,0:lz) :: vgdl - REAL(r8), dimension(0:lx,0:lz) :: vgdx,vgdz - complex(r8), dimension(0:lx,0:lz) :: vbx,vbz,vbp - - complex(r8), parameter :: ifac=(0,1) - dimension xi(nfm), xii(nfm), xilnq(nfm), xiilnq(nfm) - character(128), intent(in), optional :: op_ahgfile - - if (present(op_ahgfile)) then - ahgfile = trim(op_ahgfile) - else - ahgfile = 'ahg2msc.out' - endif - -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format( //,4x, "omsq=",e12.5,/, - $ 4x, "i",3x,"l",3x,"xi-edge",5x,"xi*(l-nq)", - $ /, 101(1x,2i4,1p2e12.4,/),/ ) - 20 format( i5 ) - 30 format( e12.5,/,(8e12.5) ) - 40 format( //,4x, "omsq=",e12.5,/, - $ 4x, "i",3x,"l",3x,"xi-edge",5x,"xi*(l-nq)",2x, - $ "xii-edge",5x,"xii*(l-nq)", - $ /, 101(1x,2i4,1p4e12.4,/),/ ) -c----------------------------------------------------------------------- -c allocate space. -c----------------------------------------------------------------------- - kernelsign=1 - ntsin0=mtheta+1 - nths0=mthvac - nfm=mpert - mtot=mpert - call global_alloc(nths0,nfm,mtot,ntsin0) - ndimlp=(lx+1)*(lz+1) - ALLOCATE(xobp(ndimlp),zobp(ndimlp),xloop(ndimlp),zloop(ndimlp)) -c----------------------------------------------------------------------- -c initialization. -c----------------------------------------------------------------------- - call defglo(mthvac) - ldcon = 0 - lgpec = 1 - ieig = 0 - open (iotty,file='mscvac.out',status='unknown') - open (outpest,file='pestotv',status='unknown',form='formatted') - open (inmode,file='vac.in',status='old', form='formatted' ) - open (outmod,file='modovmc',status='unknown', form='formatted' ) - call msctimer ( outmod, "top of main" ) - call ent33 - If ( lspark .ne. 0 ) call testvec - if ( ieig .eq. 0 ) goto 99 - jmax1 = lmax(1) - lmin(1) + 1 - do j1 = 1, jmax1 - l1 = j1 + lmin(1) - 1 - lfm(j1) = l1 - xi(j1) = 0.0 - xii(j1) = 0.0 - enddo -c----------------------------------------------------------------------- -c main conditional. -c----------------------------------------------------------------------- - if(ieig .eq. 1)then - do l = 1, jmax1 - xilnq(l) = ( lfm(l)-n*qa1 ) * xi(l) - enddo - write(outmod,10)omsq,( l,lfm(l),xi(l),xilnq(l),l=1,jmax1) - goto 99 - elseif(ieig .eq. 4)then - open ( 60, file='outidst', status='old', form='formatted' ) - mflag=1 - do while(mflag .ne. 0) - read ( 60,20 ) mflag - enddo - read ( 60,30 ) omsq, ( xi(l),l = 1,jmax1 ) - elseif(ieig .eq. 5)then - do j1 = 1, jmax1 - xi(j1) = xiin(j1) - enddo - elseif(ieig .eq. 8)then - do j1 = 1, jmax1 - xii(j1) = xirc(j1) - xiis(j1) - xi(j1) = xiic(j1) + xirs(j1) - enddo - endif -c----------------------------------------------------------------------- -c write output. -c----------------------------------------------------------------------- - do l = 1, jmax1 - xilnq(l) = ( lfm(l)-n*qa1 ) * xi(l) - xiilnq(l) = ( lfm(l)-n*qa1 ) * xii(l) - enddo - write ( outmod,40 ) omsq, ( l,lfm(l),xi(l),xilnq(l), - $ xii(l),xiilnq(l), l = 1,jmax1 ) -c----------------------------------------------------------------------- -c copy vacuum response matrix to output. -c----------------------------------------------------------------------- - IF(complex_flag)THEN - wv=vacmat+ifac*vacmtiu - ELSE - wv=vacmat - ENDIF -c----------------------------------------------------------------------- -c compute b field. -c----------------------------------------------------------------------- - 99 continue - call make_bltobp - call diaplt - call pickup(bnlr,bnli,lx,lz,vgdl,vgdx,vgdz,vbx,vbz,vbp) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - call msctimer ( outmod, "end of main" ) - close(iotty) - close(outpest) - close(inmode) - close(outmod) - call global_dealloc - call cleanup - return - end -c----------------------------------------------------------------------- -c subprogram 3. defglo. -c defines logical unit numbers and control switches. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine defglo(mthvac) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer, intent(in) :: mthvac -c----------------------------------------------------------------------- -c define constants. -c----------------------------------------------------------------------- - zero = 0.0e0 - pt1 = 1.e-1 - half = 0.5e0 - one = 1.0e0 - two = 2.0e0 - three = 3.0e0 - four = 4.0e0 - five = 5.0e0 - seven = 7.0e0 - epsq = 1.0e-5 - pye = 3.1415926535897931_8 - twopi = two * pye - twopi2 = twopi * twopi - alx = 1 - alz = 1 - n = 1 - m = 2 - mp = 3 - minc = 10 - mth = mthvac - mth1 = mth + 1 - mth2 = mth1 + 1 - mthin = mthvac - mthin1 = mthin + 1 - mthin2 = mthin + 2 - mdiv = 2 - idgt = 0 - nosurf = ( mp - 1 ) * mdiv + 1 - n1surf = 4 - npsurf = 6 - dpsi = one / mdiv / m - bit = 1.0e-8 - amu0 = four * pye * 1.e-7 - dth = twopi / mth - dthinc = dth / minc - gamma = five / three - p0 = zero - upsiln = one - r = 20.0e0 - r2 = r * r - r4 = r2 * r2 - r6 = r4 *r2 - rgato = r - fa1 = 1.0 - ga1 = 1.0 - qa1 = 1.0 - isymz = 2 - xiin(1) = 1.0 - xma = 1.0 - zma = 0.0 - xzero = 1.0 - ntloop = 8 - deloop = .001 -c----------------------------------------------------------------------- -c define logical unit numbers. -c----------------------------------------------------------------------- - idsk = 1 - intty = 5 - iotty = 86 - inpest = 2 - outpest = 3 - iomode = 19 - inmode = 22 - outmod = 23 - iodsk = 16 - outmap1 = 18 - iovac = 36 - do i = 1, 3 - nout(i) = 0 - nout0(1) = 0 - enddo - nout(1) = 6 - nout(2) = outmod -c----------------------------------------------------------------------- -c define logicals. -c----------------------------------------------------------------------- - lzio = 1 - lsymz = .false. - check1 = .false. - check2 = .false. - lanal = .false. - lkdis = .true. - lpest1 = .false. - lnova = .false. - lspark= 0 - ladj = 0 - ldcon = 0 - wall = .false. - lkplt = 0 - do ich = 1, 60 - seps(ich:ich) = '.' - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 4. ent33. -c entry point for segment 33. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine ent33 - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - call cardmo - call inglo - call dskmd1 - call funint - if(.not. wall) call vaccal -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 5. funint. -c function initialization. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine funint - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension zork1(nths), zork2(nths), dlenth(nths) - dimension the(nths) -c----------------------------------------------------------------------- -c functions not fixed by the specific equilibrium. -c----------------------------------------------------------------------- - upsil2 = upsiln**2 - if ( lpest1 ) qa1 = upsiln*ga1/(twopi*fa1) - if ( ipshp .eq. 1 ) qa1 = qain - f02 = fa1**2 -c----------------------------------------------------------------------- -c calculate arc length on surface. -c----------------------------------------------------------------------- - mth1 = mth + 1 - mth2 = mth + 2 - mth3 = mth + 3 - mth4 = mth + 4 - mth5 = mth + 5 - do i = 1, mth1 - the(i) = (i-1) * dth - enddo -c----------------------------------------------------------------------- -c get derivative on plasma points. -c----------------------------------------------------------------------- - call difspl ( mth, the, xpla, xplap ) - call difspl ( mth, the, zpla, zplap ) - do i = 1, mth1 - dlenth(i) = sqrt ( xplap(i)**2 + zplap(i)**2 ) - gpsjp(i) = xpla(i) * dlenth(i) - enddo - do i = 1, mth1 - zork1(i+2) = dlenth(i) - enddo - zork1(1) = dlenth(mth-1) - zork1(2) = dlenth(mth) - zork1(mth3) = dlenth(1) - zork1(mth4) = dlenth(2) - zork1(mth5) = dlenth(3) - call indef4 ( zork1, zork2, dth, 3,mth3, alen, 0 ) - do i = 1, mth1 - slngth(i) = zork2(i+2) - enddo - write( iotty,'("Circumference of Plasma = ",1pe11.3)') - $ slngth(mth1) - write(outmod,'("Circumference of Plasma = ",1pe11.3)') - $ slngth(mth1) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 6. make_bltobp -c calculate normal field in real space. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine make_bltobp - USE vglobal_mod - IMPLICIT REAL(r8) (a-h,o-z) - - ! DIMENSION chlagdy(nths,nfm) - DIMENSION thmgr(nths), z1tmp(nths), z2tmp(nths) - - psipr = 1.0 - lrnge = nfm - DO l = 1, lrnge - psilnq = psipr * ( lfm(l)-n*qa1 ) - xilr(l) = bnli(l) / psilnq - xili(l) = -bnlr(l) / psilnq - END DO - - DO i = 1, mth1 - zgr = 0.0 - zgi = 0.0 - DO l = 1, lrnge - zgr = zgr + xilr(l)*cslth(i,l) - xili(l)*snlth(i,l) - zgi = zgi + xilr(l)*snlth(i,l) + xili(l)*cslth(i,l) - END DO - xigr(i) = zgr - xigi(i) = zgi - END DO - - DO i = 1, mth1 - zgr = 0.0 - zgi = 0.0 - DO l = 1, lrnge - zgr = zgr + bnlr(l)*cslth(i,l) - bnli(l)*snlth(i,l) - zgi = zgi + bnlr(l)*snlth(i,l) + bnli(l)*cslth(i,l) - END DO - bnkr(i) = zgr - bnki(i) = zgi - END DO - - l11 = lmin(1) - l22 = lmax(1) - CALL fanal ( xigr, mth, xirc, xirs, l11,l22, pye,0.0 ) - CALL fanal ( xigi, mth, xiic, xiis, l11,l22, pye,0.0 ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 7. diaplt -c calculate tangential b field. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine diaplt - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - ! DIMENSION z1tmp(nths), z2tmp(nths), zorkr(nths),zorki(nths), - ! $ zorkpr(nths), zorkpi(nths), zork3(nths), !chlagdy(nths,nfm), - ! $ thph(nths), cppgr(nths),cppgi(nths), - ! $ cplgr(nths), cplgi(nths), cplgtr(nths), cplgti(nths), - ! $ chwr1(nths),chwi1(nths), - ! $ dxdt(nths), dzdt(nths), zkt(nths,2), zkp(nths,2) - DIMENSION zork3(nths), zorkpr(nths), zorkpi(nths) - - lrnge = nfm - jmax1 = lrnge - laxis = lrnge - IF ( laxis == 1 ) laxis =2 - - l11 = lmin(1) - - do i = 1, mth1 - bnpptr(i) = 0.0 - bnppti(i) = 0.0 - do j1 = 1, lrnge - bnpptr(i) = bnpptr(i) + ( bnlr(j1)*cslth(i,j1) - $ - bnli(j1)*snlth(i,j1) ) / gpsjp(i) - bnppti(i) = bnppti(i) + ( bnlr(j1)*snlth(i,j1) - $ + bnli(j1)*cslth(i,j1) )/ gpsjp(i) - end do - end do - - do i = 1, mth - chipr(i) = 0.0 - chipi(i) = 0.0 - do j1 = 1, jmax1 - zrrc = cplar(i,j1) - zrrs = cplai(i,j1) - chipr(i) = chipr(i) + zrrc*bnlr(j1) - zrrs*bnli(j1) - chipi(i) = chipi(i) + zrrs*bnlr(j1) + zrrc*bnli(j1) - end do - end do - chipr(mth1) = chipr(1) - chipi(mth1) = chipi(1) - - DO i = 1, mth1 - CALL lagp ( slngth,chipr, mth1,5, slngth(i), f,zorkpr(i), 1,1 ) - CALL lagp ( slngth,chipi, mth1,5, slngth(i), f,zorkpi(i), 1,1 ) - zork3(i) = sqrt ( zorkpr(i)**2 + zorkpi(i)**2 ) - END DO - bthpr = zorkpr - bthpi = zorkpi -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 8. pickup -c calculate vacuum b field. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine pickup(blr,bli,lx,lz,vgdl,vgdx,vgdz,vbx,vbz,vbp) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - INTEGER, DIMENSION(0:lx,0:lz) :: vgdl - REAL(r8), DIMENSION(0:lx,0:lz) :: vgdx,vgdz - COMPLEX(r8), DIMENSION(0:lx,0:lz) :: vbx,vbz,vbp - - DIMENSION blr(*), bli(*) - ! CHARACTER(130), DIMENSION(10) :: string - COMPLEX(r8), PARAMETER :: ifac=(0,1) - - DIMENSION xloops(ndimlp),zloops(ndimlp), - $ chir(5,ndimlp),chii(5,ndimlp), - $ zchipr(ndimlp),zchipi(ndimlp),chirr(ndimlp), - $ cwrkr(5,ndimlp),cwrki(5,ndimlp), - $ igdl(ndimlp),rgdl(ndimlp),rwall(ndimlp), - $ bxr(ndimlp),bxi(ndimlp),bzr(ndimlp),bzi(ndimlp), - $ btr(ndimlp),bti(ndimlp), bpr(ndimlp),bpi(ndimlp), - $ bphir(ndimlp),bphii(ndimlp) - - ndlp = mth / ntloop - - jmax1 = lmax(1) - lmin(1) + 1 - mth2 = 2*mth - IF ( farwal ) mth2 = mth - - call bounds(xpla,zpla,1,mth,xmnp,xmxp,zmnp,zmxp) - xmin = xmnp - xmax = xmxp - zmin = zmnp - zmax = zmxp - - plrad = 0.5 * ( xmxp - xmnp ) - xmaj = 0.5 * ( xmxp + xmnp ) - - do i = 1, ndimlp - bxr(i) = 0.0 - bxi(i) = 0.0 - bzr(i) = 0.0 - bzi(i) = 0.0 - bphir = 0.0 - bphii = 0.0 - chirr = 0.0 - btr(i) = 0.0 - bti(i) = 0.0 - bpr(i) = 0.0 - bpi(i) = 0.0 - end do - - if ( .not. farwal ) then - call bounds(xwal,zwal,1,mw,xmnw,xmxw,zmnw,zmxw) - xmin = min(xmnp,xmnw) - xmax = max(xmxp,xmxw) - zmin = min(zmnp,zmnw) - zmax = max(zmxp,zmxw) - endif - - CALL loops - - nobs = nloop + 3*nloopr - - call bounds ( xloop,zloop,1, nobs, xmn,xmx, zmn,zmx ) - xmin = min( xmin,xmn ) - xmax = max( xmax,xmx ) - zmin = min( zmin,zmn ) - zmax = max( zmax,zmx ) - - dtpw = dth - ns = mth - delx = plrad * deloop - delz = plrad * deloop - - igdl = 8 - isgchi = -1 - - DO i = 1, nobs - - xloops(i) = xloop(i) - zloops(i) = zloop(i) - - fintjj = 0.0 - DO jj = 1, mth - dxjj = xloop(i) - xinf(jj) - dzjj = zloop(i) - zinf(jj) - rhoj2 = dxjj**2 + dzjj**2 - - IF ( rhoj2 < 1.0e-16 ) GO TO 238 - fintjj = fintjj + - $ ( zplap(jj)*dxjj - xplap(jj)*dzjj ) / rhoj2 - END DO - fintjj = fintjj / mth - - IF ( fintjj > 0.1 ) THEN ! interior - igdl(i) = 1 - rgdl(i) = -1.0 - - IF ( linterior == 0 ) GO TO 239 - END IF - IF ( fintjj < 0.1 ) THEN ! exterior - igdl(i) = 0 - rgdl(i) = 1.0 - - IF ( linterior == 1 ) GO TO 239 - END IF - rwall(i) = -1.0 - - 238 CONTINUE - - DO j = 1, mth - IF ( (xinf(j)-xloop(i))**2 + (zinf(j)-zloop(i))**2 - $ < (epslp*plrad)**2 ) THEN ! points on surface for these. - igdl(i) = -1 - - xloops(i) = xinf(j) - zloops(i) = zinf(j) - - isgchix = int(rgdl(i))*isgchi - k = max(1,j-1) - alph = atan2m (xinf(j+1)-xinf(k),zinf(k)-zinf(j+1)) - cosalph = COS(alph) - sinalph = SIN(alph) - bxr(i) = bnkr(j)*cosalph/gpsjp(j) + - $ isgchix*bthpr(j)*sinalph - bxi(i) = bnki(j)*cosalph/gpsjp(j) + - $ isgchix*bthpi(j)*sinalph - bzr(i) = bnkr(j)*sinalph/gpsjp(j) - - $ isgchix*bthpr(j)*cosalph - bzi(i) = bnki(j)*sinalph/gpsjp(j) - - $ isgchix*bthpi(j)*cosalph - zchipr(i) = isgchix*chipr(j) - zchipi(i) = isgchix*chipi(j) - bphir(i) = n * zchipi(i) / xloops(i) - bphii(i) = - n * zchipr(i) / xloops(i) - END IF - END DO - - 239 CONTINUE - - ENDDO - - chir = 0.0 - chii = 0.0 - - DO NSEW = 1, 5 - - DO i = 1, nobs - - chir(nsew,i) = 0.0 - chii(nsew,i) = 0.0 - cwrkr(nsew,i) = 0.0 - cwrki(nsew,i) = 0.0 - - go to ( 51, 52, 53, 54, 55), nsew - - 51 continue - - xobp(i) = xloop(i) - zobp(i) = zloop(i) + delz - go to 90 - - 52 continue - - xobp(i) = xloop(i) - zobp(i) = zloop(i) - delz - go to 90 - - 53 continue - - xobp(i) = xloop(i) + delx - zobp(i) = zloop(i) - go to 90 - - 54 continue - - xobp(i) = xloop(i) - delx - zobp(i) = zloop(i) - GO TO 90 - - 55 CONTINUE - - xobp(i) = xloop(i) - zobp(i) = zloop(i) - - 90 CONTINUE - - END DO - - do l1 = 1, jmax1 - do i = 1, mth - chiwc(i,l1) = grri(i,l1) - chiws(i,l1) = grri(i,jmax1+l1) - end do - end do - - isg = -1 - - call chi ( xpla,zpla,xplap,zplap,isg, chiwc,chiws, ns,1, - $ cwrkr,cwrki,nsew, blr,bli,rgdl ) - - do i = 1, nobs - chir(nsew,i) = cwrkr(nsew,i) - chii(nsew,i) = cwrki(nsew,i) - end do - - IF ( .not. farwal ) THEN - do l1 = 1, jmax1 - do i = 1, mw - chiwc(i,l1) = grri(mth+i,l1) - chiws(i,l1) = grri(mth+i,jmax1+l1) - end do - end do - - do i = 1, nobs - cwrkr(nsew,i) = 0.0 - cwrki(nsew,i) = 0.0 - end do - - isg = 1 - - call chi ( xwal,zwal,xwalp,zwalp,isg,chiwc,chiws, ns,0, - $ cwrkr,cwrki,nsew, blr,bli,rwall ) - - do i = 1, nobs - chir(nsew,i) = chir(nsew,i) + cwrkr(nsew,i) - chii(nsew,i) = chii(nsew,i) + cwrki(nsew,i) - end do - ENDIF !.not. farwal - - END DO - - DO i = 1, nobs - IF (igdl(i) .NE. -1) THEN - bxr(i) = ( chir(3,i) - chir(4,i) ) / (2.0*delx) - bxi(i) = ( chii(3,i) - chii(4,i) ) / (2.0*delx) - bzr(i) = ( chir(1,i) - chir(2,i) ) / (2.0*delz) - bzi(i) = ( chii(1,i) - chii(2,i) ) / (2.0*delz) - zchipr(i) = chir(5,i) - zchipi(i) = chii(5,i) - bphir(i) = n * chii(5,i) / xloop(i) - bphii(i) = - n * chir(5,i) / xloop(i) - ENDIF - END DO - - DO i = 1, nxlpin - DO j = 1, nzlpin - indxl = (i-1)*nzlpin + j - vgdl(i-1,j-1) = igdl(indxl) - vgdx(i-1,j-1) = xloops(indxl) - vgdz(i-1,j-1) = zloops(indxl) - vbx(i-1,j-1) = bxr(indxl)+ifac*bxi(indxl) - vbz(i-1,j-1) = bzr(indxl)+ifac*bzi(indxl) - vbp(i-1,j-1) = bphir(indxl)+ifac*bphii(indxl) - END DO - END DO -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 9. loops. -c grid loops. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine loops - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL, DIMENSION(:,:), ALLOCATABLE :: xloopin, zloopin - REAL, DIMENSION(:), ALLOCATABLE :: sourcemat - - - dxlin = 1.0 / (nxlpin-1) - dzlin = 1.0 / (nzlpin-1) - nxzlin = nxlpin * nzlpin - nloop = nxzlin - - ALLOCATE ( xloopin(nxlpin,nzlpin), zloopin(nxlpin,nzlpin) ) - ALLOCATE ( sourcemat(nxzlin) ) - - sourcemat = (/ (((i-1)*dxlin, i=1,nxlpin),j=1,nzlpin) /) - sourcemat = sourcemat * (xlpmax-xlpmin) + xlpmin - - xloopin(1:nxlpin,1:nzlpin) = - $ RESHAPE ( sourcemat(1:nxzlin), SHAPE = (/ nxlpin,nzlpin /) ) - - sourcemat = (/ (((j-1)*dzlin, i=1,nxlpin),j=1,nzlpin) /) - sourcemat = sourcemat * (zlpmax-zlpmin) + zlpmin - - zloopin(1:nxlpin,1:nzlpin) = - $ RESHAPE ( sourcemat(1:nxzlin), SHAPE = (/ nxlpin,nzlpin /) ) - - xloop(1:nxzlin) = (/ ( (xloopin(i,j), j=1,nzlpin), i=1,nxlpin ) /) - zloop(1:nxzlin) = (/ ( (zloopin(i,j), j=1,nzlpin), i=1,nxlpin ) /) - - DEALLOCATE ( xloopin, zloopin, sourcemat ) - - GO TO 150 - - 150 CONTINUE - - IF ( nloopr == 0 ) go to 200 - - IF ( a < 10.0 ) THEN - drl = plrad * a / (nloopr) - ELSE - drl = 2.0 * plrad / nloopr - ENDIF - - DO i = 1, nloopr - xloop(nloop+i) = xmaj + plrad + i * drl - drl/2.0 - zloop(nloop+i) = zpla(ixx) - END DO -c - DO i = 1, nloopr - il = nloop + nloopr + i - xloop(il) = xmaj - plrad - i * drl + drl/2.0 - IF ( xloop(il) <= .01*xmaj ) xloop(il) = .01*xmaj - zloop(il) = zpla(ixn) - END DO -c - DO i = 1, nloopr - il = nloop + 2*nloopr + i - xloop(il) = xpla(izx) - zloop(il) = zmxp + i * drl - drl/2.0 - END DO - - 200 CONTINUE -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END -c----------------------------------------------------------------------- -c subprogram 10. chi. -c magnetic scalar potential. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine chi(xsce,zsce,xscp,zscp,isg,creal,cimag,ns,ip, - $ chir,chii,nsew,blr,bli,rgdl) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - DIMENSION blr(*),bli(*),xsce(*),zsce(*),xscp(*),zscp(*) - DIMENSION creal(nths,nfm), cimag(nths,nfm) - DIMENSION chir(5,ndimlp), chii(5,ndimlp), rgdl(ndimlp) - REAL(r8) nq - - factpi = twopi - jmax1 = lmax(1) - lmin(1) + 1 - q = qa1 - - nq = n * q - dtpw = twopi / ns - - ns1 = ns + 1 - nobs = nloop + 3*nloopr - - do io = 1, nobs - - xs = xobp(io) - zs = zobp(io) - - do is = 1, ns - - xt = xsce(is) - zt = zsce(is) - xtp = xscp(is) - ztp = zscp(is) - - call green - bval = bval / factpi - - do l1 = 1, jmax1 - zbr = blr(l1) - zbi = bli(l1) - chir(nsew,io) = chir(nsew,io) + - $ aval * ( creal(is,l1)*zbr - cimag(is,l1)*zbi ) - chii(nsew,io) = chii(nsew,io) + - $ aval * ( cimag(is,l1)*zbr + creal(is,l1)*zbi ) - - if ( ip .eq. 0 ) go to 60 - - chir(nsew,io) = chir(nsew,io) + rgdl(io) * bval - $ * ( cslth(is,l1)*zbr - snlth(is,l1)*zbi ) - chii(nsew,io) = chii(nsew,io) + rgdl(io) * bval - $ * ( snlth(is,l1)*zbr + cslth(is,l1)*zbi ) - - 60 continue - end do - end do - - chir(nsew,io) = 0.5 * isg*dtpw * chir(nsew,io) - chii(nsew,io) = 0.5 * isg*dtpw * chii(nsew,io) - - end do -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end - - end module vacuum_mod diff --git a/src/Vacuum/fortran/vacuum_math.f b/src/Vacuum/fortran/vacuum_math.f deleted file mode 100644 index 7304f6e8..00000000 --- a/src/Vacuum/fortran/vacuum_math.f +++ /dev/null @@ -1,1924 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_math.f. -c mathematical subroutines used by Morrell Chance's vacuum code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. spl1d1 -c 2. spl1d2 -c 4. search -c 5. searchx -c 6. green -c 7. aleg_old -c 8. aleg -c 9. ek3 -c 10. trans -c 11. transdx -c 12. transdxx -c 13. smooth0 -c 14. smooth -c 15. lagp -c 16. shft -c 17. lagpe4 -c 18. lag -c 19. eigen -c 20. mult -c 21. matmul1 -c 22. matmul3 -c 23. indef4 -c 24. atan2m -c----------------------------------------------------------------------- -c subprogram 1. spl1d1. -c spline fitting routine. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine spl1d1(n,x,f,w,iop,ij,a,b,c) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension iop(*),x(*),f(*),w(*),a(*),b(*),c(*) - data zz,oz,tz,sz/0.0e0,1.0e0,3.0e0,6.0e0/ -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - k=n-1 - a(2)=-(x(2)-x(1))/sz - b(2)=(x(3)-x(1))/tz - w(ij+1)=(f(2*ij+1)-f(ij+1))/(x(3)-x(2))-(f(ij+1)-f(1)) - 1 /(x(2)-x(1)) - SELECT CASE (n - 3) - CASE (: -1) ! Less than 0 - GOTO 3 - CASE (0) ! Equal to 0 - GOTO 4 - CASE (1 :) ! Greater than 0 - GOTO 3 - END SELECT - 3 do 10 i=3,k - m=(i-1)*ij+1 - j1=m+ij - j2=m-ij - con=(x(i+1)-x(i-1))/tz - don=(x(i)-x(i-1))/sz - b(i)=con-(don**2)/b(i-1) - e=(f(j1)-f(m))/(x(i+1)-x(i))-(f(m)-f(j2))/ - 1 (x(i)-x(i-1)) - w(m)=e-(don*w(j2))/b(i-1) - a(i)=-(don*a(i-1))/b(i-1) - 10 continue - 4 k1=(n-2)*ij+1 - c(n-1)=-((x(n)-x(n-1))/sz)/b(n-1) - w(k1)=w(k1)/b(n-1) - a(n-1)=a(n-1)/b(n-1) - k2=k-1 - SELECT CASE (n - 3) - CASE (: -1) ! Less than 0 - GOTO 7 - CASE (0) ! Equal to 0 - GOTO 8 - CASE (1 :) ! Greater than 0 - GOTO 7 - END SELECT - 7 do 20 i=2,k2 - j=n-i - con=(x(j+1)-x(j))/sz - a(j)=(a(j)-con*a(j+1))/b(j) - c(j)=-(con*c(j+1))/b(j) - k3=(j-1)*ij+1 - m=k3+ij - w(k3)=(w(k3)-con*w(m))/b(j) - 20 continue - 8 k4=(n-1)*ij+1 - SELECT CASE (iop(1)-5) - CASE (: -1) ! Less than 0 - GOTO 201 - CASE (0) ! Equal to 0 - GOTO 200 - CASE (1 :) ! Greater than 0 - GOTO 201 - END SELECT - 201 c1=w(1) - SELECT CASE (iop(2)-5) - CASE (: -1) ! Less than 0 - GOTO 203 - CASE (0) ! Equal to 0 - GOTO 202 - CASE (1 :) ! Greater than 0 - GOTO 203 - END SELECT - 203 c2=w(k4) - go to 205 - 200 SELECT CASE (n - 4) - CASE (: -1) ! Less than 0 - GOTO 300 - CASE (0) ! Equal to 0 - GOTO 302 - CASE (1 :) ! Greater than 0 - GOTO 302 - END SELECT - 302 a1=x(1)-x(2) - a2=x(1)-x(3) - a3=x(1)-x(4) - a4=x(2)-x(3) - a5=x(2)-x(4) - a6=x(3)-x(4) - w(1)=f(1)*(oz/a1+oz/a2+oz/a3)-a2*a3*f(ij+1)/(a1*a4*a5)+ - 1 a1*a3*f(2*ij+1)/(a2*a4*a6 )-a1*a2*f(3*ij+1)/(a3*a5*a6) - go to 201 - 202 SELECT CASE (n-4) - CASE (: -1) ! Less than 0 - GOTO 300 - CASE (0) ! Equal to 0 - GOTO 303 - CASE (1 :) ! Greater than 0 - GOTO 303 - END SELECT - 303 b1=x(n)-x(n-3) - b2=x(n)-x(n-2) - b3=x(n)-x(n-1) - b4=x(n-1)-x(n-3) - b5=x(n-1)-x(n-2) - b6=x(n-2)-x(n-3) - l1=k4-ij - l2=l1-ij - l3=l2-ij - w(k4)=-b2*b3*f(l3)/(b6*b4*b1)+b1*b3*f(l2)/(b6*b5*b2) - 1 -b1*b2*f(l1)/(b4*b5*b3)+f(k4)*(oz/b1+oz/b2+oz/b3) - go to 203 - 205 i = 1 - 2051 continue - m=(i-1)*ij+1 - go to 60 - 70 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 80 - CASE (0) ! Equal to 0 - GOTO 50 - CASE (1 :) ! Greater than 0 - GOTO 80 - END SELECT - 80 w(1)=w(1)-bob*w(m) - w(k4)=w(k4)-bill*w(m) - a(1)=a(1)-bob*a(i) - a(n)=a(n)-bill*a(i) - c(1)=c(1)-bob*c(i) - c(n)=c(n)-bill*c(i) - 50 continue - i=i+1 - if ( i .le. k ) go to 2051 - go to 100 - 60 mk=iop(1) - go to (62,64,66,68,66),mk - 62 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 71 - CASE (0) ! Equal to 0 - GOTO 63 - CASE (1 :) ! Greater than 0 - GOTO 71 - END SELECT - 63 a(1)=-oz - c(1)=zz - go to 500 - 71 bob=zz - go to 500 - 64 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 73 - CASE (0) ! Equal to 0 - GOTO 76 - CASE (1 :) ! Greater than 0 - GOTO 73 - END SELECT - 76 a(1)=-oz - c(1)=zz - w(1)=zz - go to 500 - 73 SELECT CASE (i-2) - CASE (: -1) ! Less than 0 - GOTO 81 - CASE (0) ! Equal to 0 - GOTO 81 - CASE (1 :) ! Greater than 0 - GOTO 82 - END SELECT - 81 bob=-c1 - go to 500 - 82 bob=zz - go to 500 - 66 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 83 - CASE (0) ! Equal to 0 - GOTO 84 - CASE (1 :) ! Greater than 0 - GOTO 83 - END SELECT - 84 a(1)=-(x(2)-x(1))/tz - c(1)=zz - w(1)=-c1+(f(ij+1)-f(1))/(x(2)-x(1)) - go to 500 - 83 SELECT CASE (i-2) - CASE (: -1) ! Less than 0 - GOTO 85 - CASE (0) ! Equal to 0 - GOTO 85 - CASE (1 :) ! Greater than 0 - GOTO 86 - END SELECT - 85 bob=(x(2)-x(1))/sz - go to 500 - 86 bob=zz - go to 500 - 68 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 87 - CASE (0) ! Equal to 0 - GOTO 88 - CASE (1 :) ! Greater than 0 - GOTO 87 - END SELECT - 88 a(1)=-oz - c(1)=oz - w(1)=zz - go to 500 - 87 bob=zz - 500 ml=iop(2) - go to (120,130,140,150,140),ml - 120 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 121 - CASE (0) ! Equal to 0 - GOTO 122 - CASE (1 :) ! Greater than 0 - GOTO 121 - END SELECT - 122 a(n)=zz - c(n)=-oz - go to 70 - 121 bill=zz - go to 70 - 130 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 131 - CASE (0) ! Equal to 0 - GOTO 132 - CASE (1 :) ! Greater than 0 - GOTO 131 - END SELECT - 132 a(n)=zz - c(n)=-oz - w(k4)=zz - go to 70 - 131 SELECT CASE (i-k) - CASE (: -1) ! Less than 0 - GOTO 134 - CASE (0) ! Equal to 0 - GOTO 133 - CASE (1 :) ! Greater than 0 - GOTO 134 - END SELECT - 133 bill=-c2 - go to 70 - 134 bill=zz - go to 70 - 140 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 141 - CASE (0) ! Equal to 0 - GOTO 142 - CASE (1 :) ! Greater than 0 - GOTO 141 - END SELECT - 142 a(n)=zz - c(n)=(x(n-1)-x(n))/tz - w(k4)=c2-(f(k4)-f(k1))/(x(n)-x(n-1)) - go to 70 - 141 SELECT CASE (i-k) - CASE (: -1) ! Less than 0 - GOTO 143 - CASE (0) ! Equal to 0 - GOTO 144 - CASE (1 :) ! Greater than 0 - GOTO 143 - END SELECT - 144 bill=(x(n)-x(n-1))/sz - go to 70 - 143 bill=zz - go to 70 - 150 SELECT CASE (i-1) - CASE (: -1) ! Less than 0 - GOTO 151 - CASE (0) ! Equal to 0 - GOTO 152 - CASE (1 :) ! Greater than 0 - GOTO 151 - END SELECT - 152 a(n)=zz - c(n)=(x(n-1)+x(1)-x(n)-x(2))/tz - w(k4)=(f(ij+1)-f(1))/(x(2)-x(1))-(f(k4)-f(k1))/(x(n)-x(n-1)) - go to 70 - 151 SELECT CASE (i-2) - CASE (: -1) ! Less than 0 - GOTO 153 - CASE (0) ! Equal to 0 - GOTO 154 - CASE (1 :) ! Greater than 0 - GOTO 153 - END SELECT - 154 bill=(x(2)-x(1))/sz - go to 70 - 153 SELECT CASE (i-k) - CASE (: -1) ! Less than 0 - GOTO 155 - CASE (0) ! Equal to 0 - GOTO 156 - CASE (1 :) ! Greater than 0 - GOTO 155 - END SELECT - 156 bill=(x(n)-x(n-1))/sz - go to 70 - 155 bill=zz - go to 70 - 100 con=a(1)*c(n)-c(1)*a(n) - d1=-w(1) - d2=-w(k4) - w(1)=(d1*c(n)-c(1)*d2)/con - w(k4)=(a(1)*d2-d1*a(n))/con - do 110 i=2,k - m=(i-1)*ij+1 - w(m)=w(m)+a(i)*w(1)+c(i)*w(k4) - 110 continue - go to 305 - 300 write(3,*) ' spl1d1: Results incorrect because n<4.' -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - 305 return - end -c----------------------------------------------------------------------- -c subprogram 2. spl1d2. -c spline evaluation routine. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine spl1d2(n,x,f,w,ij,y,tab) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - data wz,sz/2.0e0,6.0e0/ - dimension x(*),f(*),w(*) - dimension tab(3) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - mflag = 0 - IF (y-x(1)<0) THEN - GOTO 10 - ELSE IF (y-x(1)==0) THEN - GOTO 10 - ELSE - GOTO 20 - END IF - 10 i=1 - go to 30 - 20 IF (y-x(n)<0) THEN - GOTO 15 - ELSE IF (y-x(n)==0) THEN - GOTO 40 - ELSE - GOTO 40 - END IF - 40 i=n-1 - go to 30 - 15 call search(y,x,n,i,mflag) - 30 mi=(i-1)*ij+1 - k1=mi+ij - flk=x(i+1)-x(i) - a=(w(mi)*(x(i+1)-y)**3+w(k1)*(y-x(i))**3)/(sz*flk) - b=(f(k1)/flk-w(k1)*flk/sz)*(y-x(i)) - c=(f(mi)/flk-flk*w(mi)/sz)*(x(i+1)-y) - tab(1)=a+b+c - a=(w(k1)*(y-x(i))**2-w(mi)*(x(i+1)-y)**2)/(wz*flk) - b=(f(k1)-f(mi))/flk - c=flk*(w(mi)-w(k1))/sz - tab(2)=a+b+c - tab(3)=(w(mi)*(x(i+1)-y)+w(k1)*(y-x(i)))/flk -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 4. search. -c finds cubic spline interval. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine search(xbar,x,n,i,mflag) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension x(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - mflag=0 - i=n - if(xbar.eq.x(n))return - i=1 - if(n.le.1) return - ixbar=sign(1.0d0,xbar) - ix1=sign(1.0d0,x(1)) - ixn=sign(1.0d0,x(n)) - do 5 k=1,n - j=i+i - if(j.ge.n) go to 6 - i=j - 5 continue - 6 k=i - mflag = 1 - do 115 l=2,n - a=x(l-1) - b=x(l) - IF (sign(1.0d0,a)-sign(1.0d0,b)<0) THEN - GOTO 7 - ELSE IF (sign(1.0d0,a)-sign(1.0d0,b)==0) THEN - GOTO 113 - ELSE - GOTO 8 - END IF -113 IF (a-b<0) THEN - GOTO 7 - ELSE IF (a-b==0) THEN - GOTO 115 - ELSE - GOTO 8 - END IF -115 continue - 7 j=1 - if(ixbar.lt.ix1.or.(ixbar.eq.ix1.and.xbar.lt.x(1)).or.ixbar - 1.gt.ixn.or.(ixbar.eq.ixn.and.xbar.gt.x(n))) go to 16 - go to 10 - 8 j=2 - if(ixbar.lt.ixn.or.(ixbar.eq.ixn.and.xbar.lt.x(n)).or.ixbar - 1.gt.ix1.or.(ixbar.eq.ix1.and.xbar.gt.x(1))) go to 16 - 10 k=k/2 - a=x(i) - go to (11,20),j - 11 IF (ixbar-sign(1.0d0,a)<0) THEN - GOTO 111 - ELSE IF (ixbar-sign(1.0d0,a)==0) THEN - GOTO 1111 - ELSE - GOTO 2111 - END IF - 1111 IF (xbar-a<0) THEN - GOTO 111 - ELSE IF (xbar-a==0) THEN - GOTO 14 - ELSE - GOTO 2111 - END IF - 2111 b=x(i+1) - IF (ixbar-sign(1.0d0,b)<0) THEN - GOTO 2112 - ELSE IF (ixbar-sign(1.0d0,b)==0) THEN - GOTO 2113 - ELSE - GOTO 12 - END IF - 2113 if(xbar.ge.b) go to 12 - 2112 return - 111 i = i-k - go to 13 - 12 i = i+k - 13 if (i.lt.n) go to 10 - k=k/2 - go to 111 - 14 mflag=0 - return - 16 write(3,*) ' search: xbar is outside range of table.' - mflag=2 - return - 20 IF (ixbar-sign(1.0d0,a)<0) THEN - GOTO 2120 - ELSE IF (ixbar-sign(1.0d0,a)==0) THEN - GOTO 2121 - ELSE - GOTO 111 - END IF - 2121 IF (xbar-a<0) THEN - GOTO 2120 - ELSE IF (xbar-a==0) THEN - GOTO 14 - ELSE - GOTO 111 - END IF - 2120 b=x(i+1) - IF (ixbar-sign(1.0d0,b)<0) THEN - GOTO 12 - ELSE IF (ixbar-sign(1.0d0,b)==0) THEN - GOTO 2122 - ELSE - GOTO 2112 - END IF - 2122 IF (xbar-b<0) THEN - GOTO 12 - ELSE IF (xbar-b==0) THEN - GOTO 12 - ELSE - GOTO 2112 - END IF -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - 8888 return - end -c----------------------------------------------------------------------- -c subprogram 5. searchx. -c another routine for finding cubic spline interval; never used. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine searchx(xbar,x,n,i,mflag) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer xbar,x(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - if(.false.) go to 8888 - mflag=0 - i=n - if(xbar.eq.x(n))return - i=1 - if(n.le.1) return - ixbar=isign(1,xbar) - ix1=isign(1,x(1)) - ixn=isign(1,x(n)) - do 5 k=1,n - j=i+i - if(j.ge.n) go to 6 - i=j - 5 continue - 6 k=i - mflag = 1 - do 115 l=2,n - ia=x(l-1) - ib=x(l) - SELECT CASE (isign(1,ia)-isign(1,ib)) - CASE (: -1) ! Less than 0 - GOTO 7 - CASE (0) ! Equal to 0 - GOTO 113 - CASE (1 :) ! Greater than 0 - GOTO 8 - END SELECT - 113 SELECT CASE (ia-ib) - CASE (: -1) ! Less than 0 - GOTO 7 - CASE (0) ! Equal to 0 - GOTO 115 - CASE (1 :) ! Greater than 0 - GOTO 8 - END SELECT - 115 continue - 7 j=1 - if(ixbar.lt.ix1.or.(ixbar.eq.ix1.and.xbar.lt.x(1)).or.ixbar - 1.gt.ixn.or.(ixbar.eq.ixn.and.xbar.gt.x(n))) go to 16 - go to 10 - 8 j=2 - if(ixbar.lt.ixn.or.(ixbar.eq.ixn.and.xbar.lt.x(n)).or.ixbar - 1.gt.ix1.or.(ixbar.eq.ix1.and.xbar.gt.x(1))) go to 16 - 10 k=k/2 - ia=x(i) - go to (11,20),j - 11 SELECT CASE (ixbar-isign(1,ia)) - CASE (: -1) ! Less than 0 - GOTO 111 - CASE (0) ! Equal to 0 - GOTO 1111 - CASE (1 :) ! Greater than 0 - GOTO 2111 - END SELECT - 1111 SELECT CASE (xbar-ia) - CASE (: -1) ! Less than 0 - GOTO 111 - CASE (0) ! Equal to 0 - GOTO 14 - CASE (1 :) ! Greater than 0 - GOTO 2111 - END SELECT - 2111 ib=x(i+1) - SELECT CASE (ixbar-isign(1,ib)) - CASE (: -1) ! Less than 0 - GOTO 2112 - CASE (0) ! Equal to 0 - GOTO 2113 - CASE (1 :) ! Greater than 0 - GOTO 12 - END SELECT - 2113 if(xbar.ge.ib) go to 12 - 2112 return - 111 i = i-k - go to 13 - 12 i = i+k - 13 if (i.lt.n) go to 10 - k=k/2 - go to 111 - 14 mflag=0 - return - 16 write(3,*) ' searchx: xbar is outside range of table.' - mflag=2 - return - 20 SELECT CASE (ixbar-isign(1,ia)) - CASE (: -1) ! Less than 0 - GOTO 2120 - CASE (0) ! Equal to 0 - GOTO 2121 - CASE (1 :) ! Greater than 0 - GOTO 111 - END SELECT - 2121 SELECT CASE (xbar-ia) - CASE (: -1) ! Less than 0 - GOTO 2120 - CASE (0) ! Equal to 0 - GOTO 14 - CASE (1 :) ! Greater than 0 - GOTO 111 - END SELECT - 2120 ib=x(i+1) - SELECT CASE (ixbar-isign(1,ib)) - CASE (: -1) ! Less than 0 - GOTO 12 - CASE (0) ! Equal to 0 - GOTO 2122 - CASE (1 :) ! Greater than 0 - GOTO 2112 - END SELECT - 2122 SELECT CASE (xbar-ib) - CASE (: -1) ! Less than 0 - GOTO 12 - CASE (0) ! Equal to 0 - GOTO 12 - CASE (1 :) ! Greater than 0 - GOTO 2112 - END SELECT -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - 8888 return - end -c----------------------------------------------------------------------- -c subprogram 6. green. -c computes Green's function from Legendre functions. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine green - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - pm = 0. - pn = 0. - pp = 0. - aleg0 = 0. - aleg1 = 0. - sqpi = sqrt(pye) - pii = two / pye - gam = sqpi - nloc = n + 0.1e0 - xs2 = xs * xs - xt2 = xt * xt - xp2 = xs2 + xt2 - xm2 = xt2 - xs2 - zm2 = ( zt - zs )**2 - r14 = xm2*xm2 + zm2*zm2 + two*xp2*zm2 - r1sq = sqrt( r14 ) - r1 = sqrt( r1sq ) - s = (xp2 + zm2 )/r1sq - if (use_legacy_greens_function) then - call aleg_old ( s,nloc, pm,pn,pp, aleg0,aleg1 ) - else - call aleg ( s,nloc, pm,pn,pp, aleg0,aleg1 ) - endif - kloc=0 - ak=zero - if ( nloc .eq. 0 ) go to 10 - 5 kloc = kloc+1 - ak = float(kloc) - ak02 = half-ak - gam = gam / ak02 - if ( kloc .ne. nloc ) go to 5 - 10 gg = -two * sqpi * gam / r1 - bval = -gg*pn - aval1 = ( n*(xs2+xt2+zm2)*(xt2-xs2-zm2)+xt2*(xm2+zm2))*pn - aval2 = two*xt*xs*(xm2-zm2)*pp - aval3 = ztp*(aval1+aval2) / xt - aval4 = ( two*n+one)*(xp2+zm2)*pn+four*xt*xs*pp - aval5 = xtp*(zt-zs)*aval4 - aval6 =(aval3-aval5) / ( xt*r14 ) - aval = - xt2*aval6 * gg / twopi - aval0 = ztp*(two*xs*(zm2-xm2)*aleg1 - xt*(xm2+zm2)*aleg0) - aval0 = aval0 + xtp*(zt-zs)*(four*xt*xs*aleg1+(xp2+zm2)*aleg0) - aval0 = -aval0*xt / (r14*r1) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 7. aleg_old. -c computes Legendre functions, using [Chance Phys. Plasmas 1997]. -c -c subroutine to calculate half integral legendre functions. -c uses upwards recurrence relations starting from elliptic -c integrals evaluated using Bulirsch's algorithm -c these expressions are very bad for large values of nloc. -c zkisq is ths the 1 - k**2 in Elliptic integeral parlance. -c. This is now replaced by the new aleg subroutine below. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE aleg_old(x,nloc,pm,pn,pp, aleg0,aleg1) - USE vglobal_mod, ONLY: r8 - IMPLICIT NONE - - REAL(r8), INTENT(IN) :: x - INTEGER, INTENT(IN) :: nloc - REAL(r8), INTENT(OUT) :: pm,pn,pp,aleg0,aleg1 - - INTEGER :: kloc - REAL(r8) :: ak02,elipe,elipk,gam,s,v,w,x1,x2,x3,x4,xxq,y,ysq - - REAL(r8), PARAMETER :: pi=3.1415926535897931_8,pii=2/pi, - $ sqpi=1.7724538509055159_8 - REAL(r8), PARAMETER :: - $ ak0=1.38629436112_8, - $ ak1=0.09666344259_8, - $ ak2=0.03590092383_8, - $ ak3=0.03742563713_8, - $ ak4=0.01451196212_8, - $ bk0=0.5_8, - $ bk1=0.12498593597_8, - $ bk2=0.06880248576_8, - $ bk3=0.03328355346_8, - $ bk4=0.00441787012_8, - $ ae1=0.44325141463_8, - $ ae2=0.0626060122_8, - $ ae3=0.04757383546_8, - $ ae4=0.01736506451_8, - $ be1=0.2499836831_8, - $ be2=0.09200180037_8, - $ be3=0.04069697526_8, - $ be4=0.00526449639_8 -c----------------------------------------------------------------------- -c preliminary computations. -c----------------------------------------------------------------------- - gam=sqpi - xxq=x*x - s=(x-1)/(x+1) - ysq=xxq-1 - y=SQRT(ysq) - w=x+y - v=2*y/w - x1=2/(x+1) - x2=x1*x1 - x3=x2*x1 - x4=x3*x1 - elipk=ak0+ak1*x1+ak2*x2+ak3*x3+ak4*x4 - $ -(bk0+bk1*x1+bk2*x2+bk3*x3+bk4*x4)*dlog(x1) - pn=pii*SQRT(2/(x+1))*elipk - aleg0=pn - x1=1/w**2 - x2=x1*x1 - x3=x2*x1 - x4=x3*x1 - elipe=1 - IF(ABS(x1) > 1e-6) - $ elipe=1+ae1*x1+ae2*x2+ae3*x3+ae4*x4 - $ -(be1*x1+be2*x2+be3*x3+be4*x4)*dlog(x1) - pp=(pii*SQRT(w)*elipe-x*pn)/(2*y) - aleg1=pp -c----------------------------------------------------------------------- -c iterate. -c----------------------------------------------------------------------- - DO kloc=1,nloc - ak02=.5_8-kloc - pm=pn - pn=pp - pp=-2*kloc*x*pn/y-ak02*ak02*pm - gam=gam/ak02 - ENDDO -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END - -c----------------------------------------------------------------------- -c subprogram 8. aleg. -c Computes half-integral Legendre functions, using methods outlined -c in Chance J. Comp. Phys 221 (2007) 330-348. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE aleg(x,nloc,pm,pn,pp, aleg0,aleg1 ) -c subroutine to calculate half integral legendre functions. -c uses upwards recurrence relations starting from elliptic -c integrals evaluated using Bulirsch's algorithm -c these expressions are very bad for large values of nloc. -c zkisq is ths the 1 - k**2 in Elliptic integeral parlance. - -c This modified from the old aleg subroutine to use the -c Bulirsch algorithms for the Elliptic functions. -c The new integral representation of the Legendre function is used -c here for n*rhohat >= 0.1 - -c Reference: JCP 221 (2007) 330-348 - USE vglobal_mod, ONLY: r8 - IMPLICIT NONE - REAL(r8), INTENT(IN) :: x - INTEGER, INTENT(IN) :: nloc - REAL(r8), INTENT(OUT) :: pm,pn,pp,aleg0,aleg1 - REAL(r8), PARAMETER :: pye=3.141592653589793_r8, pii=2.0_r8/pye, - $ sqpi=SQRT(pye), sqtwo=SQRT(2.0_r8), half=0.5_r8 - -c... Sum of ak_i = pi/2. Sum of ae_i = pi/2 - 1.0 - -!:::::::::::::::::::::::::::::::::::::::::::::::::::::: - -! This stuff for Gaussian Itegration: - - REAL(r8), DIMENSION(32):: tg32, wg32, xg32 - REAL(r8), DIMENSION(5):: xu, xl - - REAL(r8) :: gam, xxq, ysq, y, w, rhohatsq, rhohat, zk1i, zk1, - $ zk1sq, zk1sqrt, zk1sqrti, errbu, elipk, elipe, convbu, - $ pnp, ak, ak02, gint, gintp, agaus, bgaus, ginti, gintip, tg0, - $ tg02, tg1, tg1p, sinhtg1, sinhtg1p, sinhtg12, sinhtg12p, dnom, - $ dnomp, anumr, pcoef, twopi, gamn, gamp - INTEGER :: kcbu, kloc, ngauss, nng, ing, i, ig, ierbu - -!.... Weights and abscissae for 32 points gaussian quadrature. - - wg32(1) = 0.007018610009470096600_r8 - wg32(2) = 0.016274394730905670605_r8 - wg32(3) = 0.025392065309262059456_r8 - wg32(4) = 0.034273862913021433103_r8 - wg32(5) = 0.042835898022226680657_r8 - wg32(6) = 0.050998059262376176196_r8 - wg32(7) = 0.058684093478535547145_r8 - wg32(8) = 0.065822222776361846838_r8 - wg32(9) = 0.072345794108848506225_r8 - wg32(10) = 0.078193895787070306472_r8 - wg32(11) = 0.083311924226946755222_r8 - wg32(12) = 0.087652093004403811143_r8 - wg32(13) = 0.091173878695763884713_r8 - wg32(14) = 0.093844399080804565639_r8 - wg32(15) = 0.095638720079274859419_r8 - wg32(16) = 0.096540088514727800567_r8 - - DO i = 1, 16 - wg32(16+i) = wg32(17-i) - END DO - - xg32(1:16) = (/ -0.997263861849481563545_r8, - $ 0.985611511545268335400_r8, - $ 0.964762255587506430774_r8, - $ 0.934906075937739689171_r8, - $ 0.896321155766052123965_r8, - $ 0.849367613732569970134_r8, - $ 0.794483795967942406963_r8, - $ 0.732182118740289680387_r8, - $ 0.663044266930215200975_r8, - $ 0.587715757240762329041_r8, - $ 0.506899908932229390024_r8, - $ 0.421351276130635345364_r8, - $ 0.331868602282127649780_r8, - $ 0.239287362252137074545_r8, - $ 0.144471961582796493485_r8, - $ 0.048307665687738316235_r8 /) - -! xg32(17:32) = - (/ xg32(16:1) /) - - DO i = 1, 16 - xg32(16+i) = - xg32(17-i) - END DO - -c----------------------------------------------------------------------- -c Computations. -c----------------------------------------------------------------------- - - gam = sqpi - xxq = x*x - ysq = xxq - 1.0_r8 - y = SQRT( ysq ) - w = x+y - - rhohatsq = 1.0_r8 / ( 2.0_r8 * y*w ) - rhohat = SQRT (rhohatsq) - - zk1i = w - zk1 = 1.0_r8/w ! This is k1 = SQRT(1-k**2) = SQRT(m_1) - zk1sq = zk1**2 ! This is m_1 - zk1sqrt = SQRT(zk1) ! This is m_1^(1/4) - zk1sqrti = SQRT(zk1i) ! This is m_1^(-1/4) - - errbu = 1.0e-8_r8 - CALL ek3 ( zk1sq, ierbu, errbu, 10, elipk, elipe, convbu, kcbu ) - - pn = pii * zk1sqrt * elipk - pnp = pii * zk1sqrti * elipe - - aleg0 = pn - - pp = ( pnp - x*pn ) / (2.0_r8*y) - - aleg1 = pp - -c... Use Gaussian Integration if ... - IF ( nloc*rhohat >= 0.1 ) GO TO 100 - - kloc=0 - ak = 0.0_r8 - - IF ( nloc == 0 ) GO TO 10 - - 5 kloc=kloc+1 - ak = FLOAT(kloc) - ak02 = 0.5_r8 - ak - pm = pn - pn = pp - pp = -2.0*ak*x*pn/y - ak02*ak02*pm - gam = gam / ak02 - IF ( kloc /= nloc ) GO TO 5 - - 10 CONTINUE - - GO TO 500 - - 100 CONTINUE - -c... use Gauss integration of the new integral representation -c if n*rhohat >= 0.1 -c... The integration is done in nng segments [xl(ing),xu(ing)]. -c Each stored in gint. - - ngauss = 32 - nng = 1 - xl(1) = 0.0 - xu(1) = 5.0 - - gint = 0.0 - gintp = 0.0 - - DO 165 ing = 1, nng - -!.....xl, xu are the lower and upper limits of the gaussian integration -! The integration is done in nng sections -! This will calculate P(n) and P(n+1) together. -! variables for P(n+1) will usually have p appended. - - agaus = half*( xu(ing)+xl(ing) ) - bgaus = half*( xu(ing)-xl(ing) ) - - tg32(1:32) = agaus + xg32(1:32) * bgaus - - ginti = 0.0 - gintip = 0.0 - - DO ig = 1, ngauss - tg0 = tg32(ig) - tg02 = tg0**2 - tg1 = tg02 / (2.0*nloc) - tg1p = tg02 / (2.0*nloc+2.0) - sinhtg1 = SINH(tg1) - sinhtg1p = SINH(tg1p) - sinhtg12 = sinhtg1 * sinhtg1 - sinhtg12p = sinhtg1p * sinhtg1p - dnom = x * sinhtg12 + sinhtg1 *SQRT(1.0 + sinhtg12) - dnomp = x * sinhtg12p + sinhtg1p*SQRT(1.0 + sinhtg12p) - dnom = SQRT(dnom) - dnomp = SQRT(dnomp) - anumr = tg0 * EXP(-tg02) - ginti = ginti + wg32(ig)*anumr / dnom - gintip = gintip + wg32(ig)*anumr / dnomp - END DO ! 32 point Gaussian - - ginti = bgaus * ginti - gintip = bgaus * gintip - gint = gint + ginti - gintp = gintp + gintip - - 165 CONTINUE ! Gaussian integration segments - -c... Now calculate the coeficients for the Legendre functions. - - pcoef = SQRT ( (x-1.0)/(x+1.0) ) - twopi = 2.0_r8 * pye - -c.. gamn is Gamma[1/2-n] -c gamp is Gamma[1/2-(n+1)] - - gamn = sqpi - gamp = - 2.0_r8 * sqpi - - IF ( nloc /= 0 ) THEN - - gamn = sqpi / - $ PRODUCT( (/ ( -(i-1)-0.5, i = 1, nloc ) /) ) - gamp = - gamn / (nloc+0.5) - - END IF - - gint = sqtwo * pcoef**nloc * gint / (nloc*sqpi*gamn) - gintp = sqtwo * pcoef**(nloc+1) * gintp / ((nloc+1.0)*sqpi*gamp) - pn = gint ! P(n) - pp = gintp ! P(n+1) - - 500 CONTINUE - -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END -c----------------------------------------------------------------------- -c subprogram 9. ek3. -c Computes complete elliptic integrals of first and second kind. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE ek3(eta,ier,error,maxit,cel1,cel2,convg, kounter) - -! Compute the complete elliptic integral of first and second kind -! cel(kc,p,a,b). -! Bulirsch's method. Numerical Recipes, modified by Turnbull to -! calculate both K and E simultaneously. - -! Returns cel1 = K, cel2 = E. -! Precision is error**2, - -! eta, the complementary parameter, (1 - k^2), is the square of -! the argument kc -! p is 1 -! a is 1 -! b is 1 for the first kind and b is eta( = kc**2) for the second kind - - USE vglobal_mod, ONLY: r8 - IMPLICIT NONE - - REAL(r8), PARAMETER :: pi=3.1415926535897932385_r8 , - $ pi2 = pi/2.0_r8 - - REAL(r8), INTENT(IN) :: eta, error - INTEGER, INTENT(IN) :: maxit - REAL(r8), INTENT(OUT) :: cel1, cel2, convg - INTEGER, INTENT(OUT) :: ier, kounter - - REAL(r8) :: pp, aa, bb1, bb2, qcval, aval0, bval1, bval2, pval0, - $ eval, emval, pval, aval1, aval2, fval, tval, gval, qval1, qval2, - $ hval1, hval2, rval, sval, snorm, cnvlog - - INTEGER :: logcnv - - pp = 1.0_r8 - aa = 1.0_r8 - bb1 = 1.0_r8 - bb2 = ABS(eta) - - ier = 0 - IF(eta .LE. 0.0_r8 .OR. eta > 1.0_r8) THEN - IF(eta < 0.0_r8) ier = 1 - IF(eta == 0.0_r8) ier = 2 - IF(eta > 1.0_r8) ier = 3 - cel1 = 0.0_r8 - cel2 = 0.0_r8 - RETURN - END IF - -c----------------------------------------------------------------------- -c Computations. -c----------------------------------------------------------------------- - - qcval = SQRT(ABS(eta)) - aval0 = aa - bval1 = bb1 - bval2 = bb2 - pval0 = pp - - eval = qcval - emval = 1.0_r8 - - - IF(pval0 > 0.0_r8) THEN - pval = SQRT(pval0) - aval1 = aval0 - aval2 = aval0 - bval1 = bval1/pval - bval2 = bval2/pval - - else - fval = qcval*qcval - tval = 1.0_r8 - fval - gval = 1.0_r8 - pval0 - fval = fval - pval0 - qval1 = tval*(bval1 - aval0*pval0) - qval2 = tval*(bval2 - aval0*pval0) - - pval = SQRT(fval/gval) - aval1 = (aval0 - bval1) / gval - aval2 = (aval0 - bval2) / gval - bval1 = aval1*pval - qval1/(gval*gval*pval) - bval2 = aval2*pval - qval2/(gval*gval*pval) - END IF - - - kounter = 0 -100 CONTINUE - kounter = kounter + 1 - - hval1 = aval1 - hval2 = aval2 - aval1 = aval1 + bval1/pval - aval2 = aval2 + bval2/pval - rval = eval/pval - bval1 = bval1 + hval1*rval - bval1 = bval1 + bval1 - bval2 = bval2 + hval2*rval - bval2 = bval2 + bval2 - pval = rval + pval - - sval = emval - emval = qcval + emval - - IF (ABS(sval-qcval) > sval*error) THEN - qcval = SQRT(eval) - qcval = qcval + qcval - eval = qcval*emval - GO TO 100 - END IF - - IF(sval /= 0.0_r8) snorm = sval*sval - IF(sval == 0.0_r8) snorm = 1.0_r8 - convg = (sval-qcval)*(sval-qcval) / snorm - IF ( convg <= 1.0e-100_r8 ) convg = 1.0e-100_r8 - cnvlog = LOG10(ABS(convg)) - logcnv = INT(cnvlog) - - IF (kounter > maxit) THEN - IF(logcnv < 0) ier = logcnv - IF(logcnv >= 0) ier = -1 - cel1 = pi2*(bval1 + aval1*emval) / (emval*(emval+pval)) - cel2 = pi2*(bval2 + aval2*emval) / (emval*(emval+pval)) - RETURN - END IF - - - cel1 = pi2*(bval1 + aval1*emval) / (emval*(emval+pval)) - cel2 = pi2*(bval2 + aval2*emval) / (emval*(emval+pval)) - -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END -c----------------------------------------------------------------------- -c subprogram 10. trans. -c Interpolates input variables of length mthin to length mth. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine trans ( vecin,mthin, vecout,mth ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension vecin(*), vecout(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - vecin(mthin+1) = vecin(1) - vecin(mthin+2) = vecin(2) - if ( mth .eq. mthin )then - do i = 1, mth + 2 - vecout(i) = vecin(i) - enddo - return - endif - do i = 1, mth - ai = i-1 - x = ai / mth - iop = 1 - call lagpe4 ( vecin,mthin, x, vecout(i), df, 1 ) - enddo - mth1 = mth + 1 - mth2 = mth1 + 1 - vecout(mth1) = vecout(1) - vecout(mth2) = vecout(2) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 11. transdx. -c transforms (translates?) something. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine transdx ( vecin,mthin, vecout,mth, dx0 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension vecin(*), vecout(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - vecin(mthin+1) = vecin(1) - vecin(mthin+2) = vecin(2) - if ( (mth .eq. mthin) .and. (abs(dx0) .le. 1.e-6) ) then - do i = 1, mth + 2 - vecout(i) = vecin(i) - enddo - return - endif - do i = 1, mth - ai = i-1 - x = ai / mth + dx0 / mthin - iop = 1 - call lagpe4 ( vecin,mthin, x, vecout(i), df, 1 ) - enddo - mth1 = mth + 1 - mth2 = mth1 + 1 - vecout(mth1) = vecout(1) - vecout(mth2) = vecout(2) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 12. transdxx. -c transforms (translates?) something. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine transdxx ( vecin,mthin, vecout,mth, dx0,dx1 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension vecin(*), vecout(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - vecin(mthin+1) = vecin(1) - vecin(mthin+2) = vecin(2) - - if ( (mth .ne. mthin) .or. (abs(dx0) .gt. 1.e-6) ) go to 20 - - do 10 i = 1, mth + 2 - vecout(i) = vecin(i) - 10 continue - - return - - 20 continue - - do 50 i = 1, mth - ai = i-1 + dx1 - x = ai / mth + dx0 / mthin - iop = 1 - call lagpe4 ( vecin,mthin, x, vecout(i), df, 1 ) - 50 continue - - mth1 = mth + 1 - mth2 = mth1 + 1 - vecout(mth1) = vecout(1) - vecout(mth2) = vecout(2) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 13. smooth0. -c smooth an array with a moving average. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine smooth0 ( g, n ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension g(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nm = n - 1 - do j = 1, nm - g(j) = g(j) + g(j+1) - enddo - do j = 1, nm - g(n+1-j) = g(n+1-j) + g(n-j) - enddo - g(1) = 2.0 * g(1) - g(n) = 2.0 * g(n) - do j = 1, n - g(j) = g(j) / 4.0 - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 14. smooth. -c smooth an array with a moving average. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine smooth ( g, n ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension g(*), h(301) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nm = n - 1 - do j = 1, nm - h(j) = g(j) - g(j) = g(j) + g(j+1) - enddo - h(n) = g(n) - do j = 1, nm - h(n+1-j) = h(n+1-j) + h(n-j) - enddo - h(1) = h(n) - g(n) = g(1) - do j = 1, n - g(j) = ( g(j)+h(j) ) / 4.0 - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 15. lagp. -c some sort of interpolation. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine lagp ( ax, af, m, nl, x, f, df, iop, iper ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension ax(*), af(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - zero = 0.0 - one = 1.0 - dax = ax(m) - ax(1) - in = 1 - do 20 i = 1, m - if ( ax(i) .gt. x ) go to 25 - 20 continue - 25 continue - in = i - 1 - if ( (in .eq. 0) .or. (in .eq. m) ) go to 30 - if ( ax(in+1)-x .lt. x-ax(in) ) in = in + 1 - 30 continue - inmm = (nl-0.1) / 2.0 - inpp = (nl+0.1) / 2.0 - nll = in - inmm - nlr = in + inpp - if ( ( (nl/2)*2 .eq. nl) .and. ( ax(in) .gt. x ) ) then - nll = nll - 1 - nlr = nlr - 1 - endif - if ( (nll.ge.1) .and. (nlr.le.m) ) go to 35 - if ( iper .eq. 1 ) go to 35 - if ( nlr .le. m ) go to 33 - nlr = m - nll = nlr - nl + 1 - go to 35 - 33 continue - nll = 1 - nlr = nl - 35 continue - if ( iop .eq. 1 ) go to 120 - f = zero - do 100 i0 = nll, nlr - call shft ( i0,i, axi, ax, m, dax ) - alag = one - do 50 j0 = nll, nlr - call shft ( j0,j, axj, ax, m, dax ) - if ( i0 .eq. j0 ) go to 50 - alag = alag * ( x-axj ) / ( axi - axj ) - 50 continue - f = f + alag * af(i) - 100 continue - if ( iop .eq. 0 ) return - 120 continue - df = zero - do 400 i0 = nll, nlr - call shft ( i0, i, axi, ax, m, dax ) - slag = zero - do 300 id0 = nll, nlr - call shft ( id0, id, axid, ax, m, dax ) - if ( id0 .eq. i0 ) go to 300 - alag = one - do 200 j0 = nll, nlr - call shft ( j0, j, axj, ax, m, dax ) - if ( j0 .eq. i0 ) go to 200 - if ( j0 .eq. id0 ) go to 160 - alag = alag*( x-axj ) / ( axi-axj ) - go to 200 - 160 continue - alag = alag / ( axi-axid ) - 200 continue - slag = slag + alag - 300 continue - df = df + slag * af(i) - 400 continue -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 16. shft. -c some sort of shift operation, used by lagp. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine shft ( i0,i, axi, ax, m, dax ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension ax(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - if ( (i0 .ge. 1) .and. (i0 .le. m) ) then - i = i0 - axi = ax(i) - else - if ( i0 .gt. m ) then - i = mod(i0,m) + 1 - axi = ax(i) + dax - endif - if ( i0 .lt. 1 ) then - i = m + i0 - 1 - axi = ax(i) - dax - endif - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 17. lagpe4. -c routine used by trans and transdx. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine lagpe4 ( f0,m, x,f, df, iop ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension f0(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - h = 1.0 / m - f0(m+1) = f0(1) - f0(m+2) = f0(2) - f0(m+3) = f0(3) - m0 = x / h - x0 = m0 * h - p = (x-x0) / h - pm1 = p - 1.0 - pm2 = p - 2.0 - pp1 = p + 1.0 - pp2 = p + 2.0 - am1 = - p*pm1*pm2 / 6.0 - a00 = pm1*pp1*pm2 / 2.0 - ap1 = - p*pp1*pm2 / 2.0 - ap2 = p*pp1*pm1 / 6.0 - if ( m0 .eq. 0 ) fm1 = f0(m) - if ( m0 .ge. 1 ) fm1 = f0(m0) - f00 = f0(m0+1) - fp1 = f0(m0+2) - fp2 = f0(m0+3) - f = am1*fm1 + a00*f00 + ap1*fp1 + ap2*fp2 -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 18. lag. -c some sort of routine used by main vacuum computation. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE lag(ax,af,m,nl,x,f,df,iop) - USE vglobal_mod, ONLY: r8 - IMPLICIT NONE - - REAL(r8), DIMENSION(*), INTENT(IN) :: ax,af - INTEGER, INTENT(IN) :: m,nl,iop - REAL(r8), INTENT(OUT) :: f,df - - REAL(r8) :: alag,slag,x - INTEGER :: i,id,jn,jnmm,jnpp,j,nll,nlr -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jn=1 - - DO i=1,m - IF(ax(i) >= x)EXIT - ENDDO - - jn=MAX(i-1,1) - IF(jn /= m .AND. ax(jn+1)-x < x-ax(jn))jn=jn+1 - - jnmm=(nl-.1)/2 - jnpp=(nl+.1)/2 - nll=jn-jnmm - nlr=jn+jnpp - - IF(((nl/2)*2 == nl) .AND. (ax(jn) > x))THEN - nll=nll-1 - nlr=nlr+1 - ENDIF - - IF(nlr > m)THEN - nlr=m - nll=nlr-nl+1 - ELSE IF(nll < 1)THEN - nll=1 - nlr=nl - ENDIF - - IF(iop /= 1)THEN - f=0 - DO i=nll,nlr - alag=1 - DO j=nll,nlr - IF(i == j)CYCLE - alag=alag*(x-ax(j))/(ax(i)-ax(j)) - ENDDO - f=f+alag*af(i) - ENDDO - IF(iop == 0)RETURN - ENDIF - - df=0 - DO i=nll,nlr - slag=0 - DO id=nll,nlr - IF(id == i)CYCLE - alag=1 - DO j=nll,nlr - IF(j == i)CYCLE - IF(j /= id)THEN - alag=alag*(x-ax(j))/(ax(i)-ax(j)) - ELSE - alag=alag/(ax(i)-ax(id)) - ENDIF - ENDDO - slag=slag+alag - ENDDO - df=df+slag*af(i) - ENDDO -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END -c----------------------------------------------------------------------- -c subprogram 19. eigen. -c computes eigenvalues and eigenvectors of a matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine eigen(a,r,n,mv) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(*),r(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - 5 range=1.0e-12 - if(mv-1 == 0) goto 25 - 10 iq=-n - do 21 j=1,n - iq=iq+n - do 20 i=1,n - ij=iq+i - r(ij)=0.0 - if(i-j .ne. 0) goto 20 - 15 r(ij)=1.0 - 20 continue - 21 continue - 25 anorm=0.0 - do 36 i=1,n - do 35 j=i,n - if(i-j .NE. 0) then - ia=i+(j*j-j)/2 - endif - anorm=anorm+a(ia)*a(ia) - 35 continue - 36 continue - if(anorm .LE. 0) then - goto 165 - else - goto 40 - endif - 40 anorm=1.414*sqrt(anorm) - anrmx=anorm*range/float(n) - ind=0 - thr=anorm - 45 thr=thr/float(n) - 50 l=1 - 55 m=l+1 - 60 mq=(m*m-m)/2 - lq=(l*l-l)/2 - lm=l+mq - 62 if( abs(a(lm))-thr .GE. 0) then - goto 65 - else - goto 130 - endif - 65 ind=1 - ll=l+lq - mm=m+mq - x=0.5*(a(ll)-a(mm)) - 68 y=-a(lm)/ sqrt(a(lm)*a(lm)+x*x) - if(x .ge. 0) go to 75 - 70 y=-y - 75 continue - yp = 1.0 - y*y - if ( abs(yp) .lt. 1.0e-10 ) yp = 0.0 - sinx=y/ sqrt(2.0*(1.0+sqrt(yp+0.0))) - sinx2=sinx*sinx - 78 cosx= sqrt(1.0-sinx2) - cosx2=cosx*cosx - sincs =sinx*cosx - ilq=n*(l-1) - imq=n*(m-1) - do 125 i=1,n - iq=(i*i-i)/2 - if(i-l == 0) goto 115 - 80 SELECT CASE (i-m) - CASE (: -1) ! Less than 0 - GOTO 85 - CASE (0) ! Equal to 0 - GOTO 115 - CASE (1 :) ! Greater than 0 - GOTO 90 - END SELECT - 85 im=i+mq - go to 95 - 90 im=m+iq - 95 if(i-l .ge. 0) goto 105 - 100 il=i+lq - go to 110 - 105 il=l+iq - 110 x=a(il)*cosx-a(im)*sinx - a(im)=a(il)*sinx+a(im)*cosx - a(il)=x - 115 if(mv-1 == 0) goto 125 - 120 ilr=ilq+i - imr=imq+i - x=r(ilr)*cosx-r(imr)*sinx - r(imr)=r(ilr)*sinx+r(imr)*cosx - r(ilr)=x - 125 continue - x=2.0*a(lm)*sincs - y=a(ll)*cosx2+a(mm)*sinx2-x - x=a(ll)*sinx2+a(mm)*cosx2+x - a(lm)=(a(ll)-a(mm))*sincs+a(lm)*(cosx2-sinx2) - a(ll)=y - a(mm)=x - 130 if(m-n == 0) goto 140 - 135 m=m+1 - go to 60 - 140 if(l-(n-1) == 0) goto 150 - 145 l=l+1 - go to 55 - 150 if(ind-1 .ne. 0) goto 160 - 155 ind=0 - go to 50 - 160 if(thr-anrmx .gt. 0) go to 45 - 165 iq=-n - do 186 i=1,n - iq=iq+n - ll=i+(i*i-i)/2 - jq=n*(i-2) - do 185 j=i,n - jq=jq+n - mm=j+(j*j-j)/2 - if(a(ll)-a(mm) .ge. 0) go to 185 - 170 x=a(ll) - a(ll)=a(mm) - a(mm)=x - if(mv-1 == 0) goto 185 - 175 do 180 k=1,n - ilr=iq+k - imr=jq+k - x=r(ilr) - r(ilr)=r(imr) - r(imr)=x - 180 continue - 185 continue - 186 continue -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 20. mult. -c matrix times matrix multiplication. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mult ( a, b, c, ndim, ndim2, m, l ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(ndim,ndim), b(ndim,ndim2), c(ndim,ndim2) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do j1 = 1, m - do j2 = 1, l - sum = 0.0 - do i = 1, m - sum = sum + a(j1,i) * b(i,j2) - enddo - c(j1,j2) = sum - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 21. matmul1. -c matrix times matrix multiplication. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine matmul1 ( a, b, nda,ndb, n, c,ndc ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(nda,nda), b(ndb,ndb), c(ndc,ndc) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do i = 1, n - do j = 1, n - sum = 0.0 - do k = 1, n - sum = sum + a(i,k)*b(k,j) - enddo - c(i,j) = sum - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 22. matmul3. -c matrix times matrix multiplication. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine matmul3 ( a, b, nda,ndb, la,lb,lc, c,ndc ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(nda,nda), b(ndb,ndb), c(ndc,ndc) -c----------------------------------------------------------------------- -c computation. -c----------------------------------------------------------------------- - do i = 1, la - do j = 1, lc - sum = 0.0 - do k = 1, lb - sum = sum + a(i,k)*b(k,j) - enddo - c(i,j) = sum - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 23. indef4. -c computes indefinite and definite integral. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine indef4 ( f, fin, dx, n1, n2, defint, iend ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension f(*), fin(*) -c----------------------------------------------------------------------- -c computation. -c----------------------------------------------------------------------- - dendf = 0.0 - fin(n1) = 0.0 - ind = 1 - if ( iend .eq. 1 ) then - fin(n1+1) = dx * ( 9.0*f(n1) + 19.0*f(n1+1) - 5.0*f(n1+2) - $ + f(n1+3) ) / 24.0 - dendf = dx * ( 9.0*f(n2) + 19.0*f(n2-1) - 5.0*f(n2-2) - $ + f(n2-3) ) / 24.0 - ind = 2 - endif - do i = n1+ind, n2-ind+1 - ip1 = i+1 - im1 = i-1 - im2 = i-2 - fin(i) = fin(im1) + dx * ( -f(im2) + 13.0*f(im1) + 13.0*f(i) - $ -f(ip1) ) / 24.0 - enddo - fin(n2) = fin(n2-ind+1) + dendf - defint = fin(n2) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 24. atan2m. -c computes indefinite and definite integral. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - function atan2m ( z,x ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - epszer = 1e-30 - - if ( abs(x) .le. epszer ) then - atan2m = sign ( pye/2.0, z ) - return - end if - - atan2m = atan2 (z,x) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end diff --git a/src/Vacuum/fortran/vacuum_penn.f b/src/Vacuum/fortran/vacuum_penn.f deleted file mode 100644 index c1fffc1c..00000000 --- a/src/Vacuum/fortran/vacuum_penn.f +++ /dev/null @@ -1,103 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_penn.f. -c local routines for penning.lanl.gov HP 735. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. date_time -c 2. cleanup -c 3. shellb -c 4. gelima -c 5. gelimb -c 6. skipeof -c 7. timedate -c 8. userinfo -c----------------------------------------------------------------------- -c subprogram 1. date_time. -c----------------------------------------------------------------------- - subroutine date_time(date_array,datex,timex) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer date_array(*) - character*(*) datex,timex - return - end -c----------------------------------------------------------------------- -c subprogram 2. cleanup. -c----------------------------------------------------------------------- - subroutine cleanup - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - call system('rm -f modovmc') - call system('rm -f pestotv') - call system('rm -f vacdcon') - call system('rm -f mscvac.out') - return - end -c----------------------------------------------------------------------- -c subprogram 3. shellb. -c----------------------------------------------------------------------- - subroutine shellb - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - return - end -c----------------------------------------------------------------------- -c subprogram 4. gelima. presently unused. -c----------------------------------------------------------------------- -! subroutine gelima(copmat,nfm,uvpr,nfm1,jmax1,jmax2,uvp0,nfm2, -! $ wrki,waa,nfm3,wbb,nfm4,ifail) -! USE vglobal_mod, ONLY: r8 -! implicit real(r8) (a-h,o-z) -! implicit integer (i-n) -! integer ipiv(jmax1),info -! call dgetrf(jmax1,jmax1,copmat,nfm,ipiv,info) -! call dgetrs('N',jmax1,jmax12evp0,copmat,nfm,ipiv,uvpr,nfm1,info) -! return -! end -c----------------------------------------------------------------------- -c subprogram 5. gelimb. Solves AX=B for A=copmat, B=uvpw0 -c----------------------------------------------------------------------- - subroutine gelimb(copmat,nfm,uvpwr,nfm1,jmax1,jmax2,uvpw0, - $ nfm2,wrki,ifail) - USE vglobal_mod, ONLY: r8 - real(r8), dimension(jmax1,jmax1) :: copmat - real(r8), dimension(nfm2,jmax2) :: uvpwr,uvpw0 - real(r8), dimension(*) :: wrki - integer :: nfm, nfm1, nfm2, jmax1, jmax2, ifail, info - integer, dimension(jmax1) :: ipiv - call dgetrf(jmax1,jmax1,copmat,nfm,ipiv,info) - call dgetrs('N',jmax1,jmax2,copmat,nfm,ipiv,uvpw0,nfm2,info) - return - end -c----------------------------------------------------------------------- -c subprogram 6. skipeof. -c----------------------------------------------------------------------- - subroutine skipeof(iva,iva1) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - return - end -c----------------------------------------------------------------------- -c subprogram 7. timedate. -c----------------------------------------------------------------------- - subroutine timedate(ntim,ndat,mach,nsfx) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - return - end -c----------------------------------------------------------------------- -c subprogram 8. userinfo. -c----------------------------------------------------------------------- - subroutine userinfo(nuser,nacct,ndrop,nsfx) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - return - end diff --git a/src/Vacuum/fortran/vacuum_sprk2.f b/src/Vacuum/fortran/vacuum_sprk2.f deleted file mode 100644 index 72927f6e..00000000 --- a/src/Vacuum/fortran/vacuum_sprk2.f +++ /dev/null @@ -1,488 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_sprk2.f -c seems to contain miscellaneous utilities. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. testvec -c 2. vecpot -c 3. grchi -c 4. diff5 -c 5. difspl -c 6. matwrtn -c 7. matwrt9 -c 8. mtrans -c 9. mtransr -c----------------------------------------------------------------------- -c subprogram 1. testvec. -c tests some sort of vector for some sort of property. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine testvec - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension xob(nths),zob(nths), the(nths) - dimension axrl(nths,nfm), axil(nths,nfm), - $ azrl(nths,nfm), azil(nths,nfm), bdotnr(nfm), bdotni(nfm) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 8 format ( "n = ",f8.2, " phi = ",f8.3, " mdeld = ", i3, - $ " jdeld = ", i3, / ) - 11 format ( i4,(" axrl ",1p10e11.4,/) ) - 12 format ( i4,(" axil ",1p10e11.4,/) ) - 15 format ( i4,(" azrl ",1p10e11.4,/) ) - 16 format ( i4,(" azil ",1p10e11.4,/) ) - 13 format ( i4,(" bdotnr ",1p10e11.4,/) ) - 33 format ( i4,(" bdotni ",1p10e11.4,/) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - mth12 = 2*mth - mdel = 16 - jdel = 8 - do i = 1, mth1 - the(i) = (i-1) * dth - enddo - call bounds(xpla,zpla,1,mth,xmnp,xmxp,zmnp,zmxp) - xmin = xmnp - xmax = xmxp - zmin = zmnp - zmax = zmxp - plrad = 0.5 * ( xmxp - xmnp ) - xmaj = 0.5 * ( xmxp + xmnp ) - call bounds(xwal,zwal,1,mw,xmnw,xmxw,zmnw,zmxw) - xmin = min(xmnp,xmnw) - xmax = max(xmxp,xmxw) - zmin = min(zmnp,zmnw) - zmax = max(zmxp,zmxw) - dx = xmax - xmin - dz = 2.0 * zmax - dxz = max(dx,dz) - xmaxw = 0.5 * ( xmax + xmin ) + 0.50*dxz - xminw = 0.5 * ( xmax + xmin ) - 0.50*dxz - zmaxw = 0.50 * dxz - zminw = - zmaxw - xming = xminw - 0.05*(xmaxw-xminw) - xmaxg = xmaxw + 0.05*(xmaxw-xminw) - zming = zminw - 0.05*(zmaxw-zminw) - zmaxg = zmaxw + 0.05*(zmaxw-zminw) - phi = 30.0 * pye / 180.0 - nobs = 0 - mthdel = mth/mdel - jmxdel = jmax1/jdel - mdeld = max0(1,mthdel) - jdeld = max0(1,jmxdel) - write ( outmod,'(a)' ) char(12) - write ( outmod, 8 ) n, phi, mdeld, jdeld - write ( iotty, 8 ) n, phi, mdeld, jdeld - do iobs = 1, mth, mdeld - nobs = nobs + 1 - xob(nobs) = xwal(iobs) - zob(nobs) = zwal(iobs) - enddo - if (checks )then - isg = -1 - call vecpot ( xwal,zwal,mth, xpla,zpla,xplap,zplap, - $ mth, isg, phi,axrl,axil, azrl,azil ) - do jj = 1, jmax1 - axrl(mth1,jj) = axrl(1,jj) - axil(mth1,jj) = axil(1,jj) - azrl(mth1,jj) = azrl(1,jj) - azil(mth1,jj) = azil(1,jj) - enddo - do iobs = 1, mth, mdeld - write ( outmod, 11 ) iobs, (axrl(iobs,ll), ll = 1,jmax1 - $ ,jdeld) - write ( outmod, 12 ) iobs, (axil(iobs,ll), ll = 1,jmax1 - $ ,jdeld) - write ( outmod, 15 ) iobs, (azrl(iobs,ll), ll = 1,jmax1 - $ ,jdeld) - write ( outmod, 16 ) iobs, (azil(iobs,ll), ll = 1,jmax1 - $ ,jdeld) - do ll = 1, jmax1 - bdotnr(ll) = - n * ( axil(iobs,ll)*xwalp(iobs) - $ + azil(iobs,ll)*zwalp(iobs) ) - bdotni(ll) = n * ( axrl(iobs,ll)*xwalp(iobs) - $ + azrl(iobs,ll)*zwalp(iobs) ) - enddo - write ( outmod, 13 ) iobs, (bdotnr(ll), ll = 1,jmax1,jdeld) - write ( outmod, 33 ) iobs, (bdotni(ll), ll = 1,jmax1,jdeld) - enddo - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 2. vecpot. -c compute vector potential. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vecpot ( xobs,zobs,nobs, xsce,zsce,xscp,zscp,nsce, - $ isg, phi, axrl,axil, azrl,azil ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension xobs(*),zobs(*),xsce(*),zsce(*),xscp(*),zscp(*), - $ axrl(nths,nfm),axil(nths,nfm), - $ azrl(nths,nfm),azil(nths,nfm), - $ dchxr(nths,nfm),dchxi(nths,nfm), - $ dchzr(nths,nfm),dchzi(nths,nfm) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 11 format ( /,1x, "!!! N= 0 in subroutine VECPOT !!! " ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - sinnph = sin(n*phi) - cosnph = cos(n*phi) - call grchi(xobs,zobs,nobs, xsce,zsce,xscp,zscp,nsce, - $ isg,cplar,cplai,cslth,snlth, 1,1, - $ cpwr,cpwi, dchxr,dchxi,dchzr,dchzi) - if ( abs(n) .lt. 1.e-10 ) then - write ( outmod, 11 ) - write ( iotty, 11 ) - return - endif - do iobs = 1, nobs - do ll = 1, jmax1 - axrl(iobs,ll) = - xobs(iobs) * ( dchzr(iobs,ll)*sinnph - $ - dchzi(iobs,ll)*cosnph ) / n - axil(iobs,ll) = - xobs(iobs) * ( dchzr(iobs,ll)*cosnph - $ + dchzi(iobs,ll)*sinnph ) / n - azrl(iobs,ll) = xobs(iobs) * ( dchxr(iobs,ll)*sinnph - $ - dchxi(iobs,ll)*cosnph ) / n - azil(iobs,ll) = xobs(iobs) * ( dchxr(iobs,ll)*cosnph - $ + dchxi(iobs,ll)*sinnph ) / n - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 3. grchi. -c 2nd application of Green's identity. Returns chi, Bx, Bz. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine grchi(xobs,zobs,nobs, xsce,zsce,xscp,zscp,ns, - $ isg,creal,cimag,cdriv,sdriv, ip,ipm, cpwr1,cpwi1, - $ dchxr,dchxi,dchzr,dchzi) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension xobs(*),zobs(*), xsce(*),zsce(*),xscp(*),zscp(*) - dimension creal(nths,nfm), cimag(nths,nfm) - dimension cdriv(nths,nfm), sdriv(nths,nfm) - dimension chrl(5,nfm), chil(5,nfm), wrkr(5),wrki(5) - dimension cpwr1(nths,nfm),cpwi1(nths,nfm), - $ dchxr(nths,nfm),dchxi(nths,nfm), - $ dchzr(nths,nfm),dchzi(nths,nfm) - REAL(r8) nq -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - factpi = twopi - jmax1 = lmax(1) - lmin(1) + 1 - q = qa1 - nq = n * q - dtpw = twopi / ns - do io = 1, nobs - do ixz = 1, 2 - yes1 = 2 - ixz - yes2 = ixz - 1 - do io5 = 1, 5 - do ll = 1, jmax1 - chrl(io5,ll) = 0.0 - chil(io5,ll) = 0.0 - enddo - enddo - do io5 = 1, 5 - xs = yes1*(xobs(io) + (io5-3)*delx) + yes2*xobs(io) - zs = yes2*(zobs(io) + (io5-3)*delz) + yes1*zobs(io) - $ - if ( (io5 .ne. 3) .or. (ixz .ne. 2) ) then - do is = 1, ns - xt = xsce(is) - zt = zsce(is) - xtp = xscp(is) - ztp = zscp(is) - call green - bval = bval / factpi - do l1 = 1, jmax1 - ll = lmin(1) - 1 + l1 - if ( ip .ne. 3 ) then - chrl(io5,l1) = chrl(io5,l1) + creal(is,l1) - $ *aval - chil(io5,l1) = chil(io5,l1) + cimag(is,l1) - $ *aval - endif - if ( ip .ne. 0 ) then - chrl(io5,l1) = chrl(io5,l1) + - $ ipm * bval * cdriv(is,l1) - chil(io5,l1) = chil(io5,l1) + - $ ipm * bval * sdriv(is,l1) - endif - enddo - enddo - do l1 = 1, jmax1 - chrl(io5,l1) = 0.5 * isg*dtpw * chrl(io5,l1) - chil(io5,l1) = 0.5 * isg*dtpw * chil(io5,l1) - enddo - endif - enddo - do l1 = 1, jmax1 - do id = 1, 5 - wrkr(id) = chrl(id,l1) - wrki(id) = chil(id,l1) - enddo - if ( yes1 .eq. 1 ) then - cpwr1(io,l1) = chrl(3,l1) - cpwi1(io,l1) = chil(3,l1) - call diff5 ( wrkr, delx, dchxr(io,l1) ) - call diff5 ( wrki, delx, dchxi(io,l1) ) - endif - if ( yes2 .eq. 1 ) then - call diff5 ( wrkr, delz, dchzr(io,l1) ) - call diff5 ( wrki, delz, dchzi(io,l1) ) - endif - enddo - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 4. diff5. -c 5-point difference stencil. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine diff5 ( fin, h, df5 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension fin(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - fm2 = fin(1) - fm1 = fin(2) - fp1 = fin(4) - fp2 = fin(5) - df5 = 2.0 * ( fp1-fm1 -(fp2-fm2)/8.0 ) / (3.0*h) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 5. difspl. -c unknown purpose. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine difspl ( nsp,the,xin,xout ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension the(*), xin(*), xout(*) - dimension xpp(nths) - dimension iop(2), ww1(nths),ww2(nths),ww3(nths),tab(3) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - ns1 = nsp + 1 - iop(1) = 4 - iop(2) = 4 - call spl1d1(ns1,the,xin,xpp,iop,1,ww1,ww2,ww3) - do i = 1, ns1 - theta = (i-1) * dth - call spl1d2 ( ns1,the, xin,xpp, 1, theta, tab ) - xout(i) = tab(2) - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 6. matwrtn. -c write a matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine matwrtn ( a, maxj1,maxj2,l1,l2,jmax1,jmax2,jn1,jn2, - $ label, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) label - dimension a ( maxj1, maxj2 ), jw2(101) -c----------------------------------------------------------------------- -c write formats. -c----------------------------------------------------------------------- - 10 format ( /, 5x, "matrix elements of ", a, 2i4 ) - 20 format ( i4,10(1x,1p10e11.4,/) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nwrt2 = 9 - if ( nout1 .ne. 0 ) - $ write ( nout1, 10 ) label, jn1, jn2 - if ( nout2 .ne. 0 ) - $ write ( nout2, 10 ) label, jn1, jn2 - jd1 = jmax1 / jn1 - jd2 = jmax2 / jn2 - if ( jd1 .lt. 1 ) jd1 = 1 - if ( jd2 .lt. 1 ) jd2 = 1 -c njd1 = min ( jmax1,(nwrt1-1)*jd1 + 1 ) - njd2 = min ( jmax2,(nwrt2-1)*jd2 + 1 ) - if ( jn2 .le. 101 ) then - j2m = 0 - do j2 = 1, jmax2,jd2 - j2m = j2m + 1 - jw2(j2m) = j2 - 1 + l2 - enddo - j2m = min(nwrt2,j2m) - if ( nout1. ne. 0 ) - $ write ( nout1, '(10i11)' ) ( jw2(i),i = 1, j2m ) - if ( nout2. ne. 0 ) - $ write ( nout2, '(10i11)' ) ( jw2(i),i = 1, j2m ) - endif - do j1 = 1, jmax1,jd1 - jw = j1 -1 + l1 - if ( nout1 .ne. 0 ) - $ write ( nout1, 20 ) jw, ( a(j1,j2),j2 = 1, njd2,jd2 ) - if ( nout2 .ne. 0 ) - $ write ( nout2, 20 ) jw, ( a(j1,j2),j2 = 1, njd2,jd2 ) - enddo -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 7. matwrt9. -c write a matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine matwrt9 ( a, maxj1,maxj2,l1,l2, label, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) label - dimension a ( maxj1, maxj2 ), jw2(101) -c----------------------------------------------------------------------- -c write formats. -c----------------------------------------------------------------------- - 10 format ( /, 5x, "matrix elements of ", a, 2i4 ) - 20 format ( i4,10(1x,1p10e11.4,/) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - if ( nout1 .ne. 0 ) - $ write ( nout1, 10 ) label, l1, l2 - if ( nout2 .ne. 0 ) - $ write ( nout2, 10 ) label, l1, l2 - ln4 = max ( l1, -4 ) - lx4 = min ( l2, +4 ) - jnx = lx4 - ln4 + 1 - do j2 = 1, jnx - jw2(j2) = j2 - 1 + ln4 - enddo - if ( nout1. ne. 0 ) - $ write ( nout1, '(10i11)' ) ( jw2(i),i = 1, jnx ) - if ( nout2. ne. 0 ) - $ write ( nout2, '(10i11)' ) ( jw2(i),i = 1, jnx ) - js = max ( -4-l1, 0 ) + 1 - lw = 0 - do j1 = js, js+jnx-1 - lw = lw + 1 - if ( nout1 .ne. 0 ) - $ write ( nout1, 20 ) jw2(lw),(a(j1,j2),j2 = js, js+jnx-1) - if ( nout2 .ne. 0 ) - $ write ( nout2, 20 ) jw2(Lw),(a(j1,j2),j2 = js, js+jnx-1) - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 8. mtrans. -c transpose a matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mtrans ( a, nd, n ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(nd,nd) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do i = 1, n - do j = 1, i - z = a(i,j) - a(i,j) = a(j,i) - a(j,i) = z - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 9. mtransr. -c transpose a matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mtransr ( a, nd1,nd2, n1,n2, b ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension a(nd1,nd2), b(nd2,nd1) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do i = 1, n1 - do j = 1, n2 - b(j,i) = a(i,j) - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end diff --git a/src/Vacuum/fortran/vacuum_ut.f b/src/Vacuum/fortran/vacuum_ut.f deleted file mode 100644 index 20c7d07c..00000000 --- a/src/Vacuum/fortran/vacuum_ut.f +++ /dev/null @@ -1,1501 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_ut.f. -c utility routines used by Morrell Chance's vacuum code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. errmes -c 2. wrtout -c 3. vecwrt -c 4. writg1 -c 5. errnc -c 6. nwopn -c 7. nwinq -c 8. nwdid -c 9. nwdinq -c 10. nwvid -c 11. nwvinq -c 12. nwvg1i -c 13. nwvgt1 -c 14. nwvg1c -c 15. nwvgti -c 16. nwvgt -c 17. nwvgtc -c 18. nwainq -c 19. nwagtc -c 20. nwagt -c 21. nwanam -c 22. writn1 -c 23. writnn -c 24. writa1 -c 25. writv1 -c 26. writis -c 27. writvs -c 28. vfrmt1 -c 29. vfrmt2 -c 30. vfrmt3 -c 31. bounds -c 32. boundsi -c 33. macopy -c 34. matwrt -c 35. vacasym -c 36. masym0 -c 37. vacasymi -c 38. msctimer -c 39. shftpi -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c subprogram 1. errmes. -c prints error message and terminates program. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine errmes ( nout,mesage ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer, parameter :: iotty=86 - character*(*) mesage -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format(" error in subroutine",1x, a10/) -c----------------------------------------------------------------------- -c write error message. -c----------------------------------------------------------------------- - write(iotty,100)mesage - write(nout,100)mesage -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - stop - end -c----------------------------------------------------------------------- -c subprogram 2. wrtout. -c prints message. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine wrtout ( nsrf, vec, wvec, m1,m2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension vec(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( //,1x, 'nsrf = ',i3, 2x, a8, / ) - 200 format ( 1x, 1p10e13.5 ) -c----------------------------------------------------------------------- -c write message. -c----------------------------------------------------------------------- - write ( 16, 100 ) nsrf, wvec - write ( 16, 200 ) ( vec(i), i = m1,m2 ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 3. vecwrt. -c writes long message. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vecwrt ( mm, vec, wvec, m1,m2, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension vec(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( //,1x, 'mm = ',i3, 2x, a8, / ) - 200 format ( 1x, 1p10e13.5 ) -c----------------------------------------------------------------------- -c write statements. -c----------------------------------------------------------------------- - if ( nout1 .ne. 0 ) then - write ( nout1, 100 ) mm, wvec - write ( nout1, 200 ) ( vec(i), i = m1,m2 ) - endif - if ( nout2 .ne. 0 ) then - write ( nout2, 100 ) mm, wvec - write ( nout2, 200 ) ( vec(i), i = m1,m2 ) - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 4. writg1. -c prints character string. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writg1 ( string, seps, iseps, nout ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension nout(*) - character*(*) string - character*(*) seps -c----------------------------------------------------------------------- -c write message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 )then - if ( iseps .eq. 0 ) - $ write ( nout(io), '(/,a)' ) string - if ( iseps .eq. 1 ) - $ write ( nout(io), '(/, a,/, 5x, a)' ) seps, string - if ( iseps .eq. 2 ) - $ write ( nout(io), '(/, 5x,a, /,a )' ) string, seps - if ( iseps .eq. 3 ) - $ write ( nout(io), '( /, a ,/, 5x,a,/,a )' ) - $ seps, string, seps - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 5. errnc. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine errnc ( mesage, nrcode, nout ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - integer nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( "nrcode in ", a16, " = ", i5 ) -c----------------------------------------------------------------------- -c print messasge. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) mesage, nrcode - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 6. nwopn. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwopn ( cdfid, file, nrw, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, nout(*) - character*(*) file, nrw -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"cdfid = ", i3, /, - $ "ncopn called for file, ",a, " ---nrw = ", a ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncopn", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, file, nrw - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 7. newinq -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwinq ( cdfid, ndims, nvars, ngatts, recid, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, recid, nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /, "ncinq: cdfid = ", i3, /, - $ "number of dimensions, ndims is ...", i5, /, - $ "number of variables, nvars is ...", i5, /, - $ "number of global attributes, ngatts is ...", i5, /, - $ "ID of the unlimited dimension, recid is ...", i5 ) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncinq", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, ndims, nvars, - $ ngatts, recid - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 8. nwdid. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwdid ( cdfid, dimnam, ndid, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, nout(*) - character*(*) dimnam -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncdid: cdfid = ", i3, - $ " dimension name is ...", a, /, "dimension id is ...",i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncdid", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, dimnam, ndid - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 9. nwdinq. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwdinq ( cdfid, dimid, dimnam, dimsiz, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, dimid, dimsiz, nout(*) - character*(*) dimnam -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncdinq: cdfid = ", i3, - $ ". Dimension name, id, and size = ",/ ,a, 2i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncdinq", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, dimnam, dimid, dimsiz - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 10. nwvid. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvid ( cdfid, varnam, vid, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, nout(*) - character*(*) varnam -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncvid: cdfid = ", i3, " varnam= ",a ,/, - $ "variable id is ...", i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncvid", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, varnam, vid - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 11. nwvinq. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvinq ( cdfid, vid, varnam, vartyp, nvdims, - $ vdims, nvatts, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, vartyp, vdims(*), nout(*) - character*(*) varnam - character*8 fmt - character*72 fmt1 - character*72 fmt2 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c create formats. -c----------------------------------------------------------------------- - call vfrmt2 ( nvdims, "i5", fmt ) - fmt1 = '/,"ncvinq: cdfid = ", i3, ". Vid= ",i5,/,' - fmt2 = '( "Vector of Dimension ID''s is ...",'//fmt//')' - fmtn(1) = '('//fmt1 - fmtn(2) = '"variable type and name is ...", i5,' - fmtn(3) = '20x, "..... ", a16, /,' - fmtn(4) = '"no. of dimensions and attributes are ... ", 2i5 )' -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncvinq", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, vartyp, varnam, - $ nvdims, nvatts - if ( nvdims .gt. 0 ) then - write ( nout(io), fmt2 ) (vdims(j),j=1,nvdims) - endif - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 12. nwvg1i. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvg1i ( cdfid, vid, vindx,nd, val1, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, vindx(*), val1, nout(*) - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncvg1i", rcode, nout ) - if ( nd .eq. 0 ) nd = 1 - call vfrmt2 ( nd, "i5", fmt ) - fmt1 = '/,"ncvgli: cdfid = ", i3, " vid= ",i5,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"index of the integer value is ...",' - $ //fmt//',/,' - fmtn(3) = '"value of the integer is ...",i5 )' -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, - $ (vindx(i),i=1,nd), val1 - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 13. nwvgt1. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvgt1 ( cdfid, vid, vindx,nd, val1, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, vindx(*), nout(*) - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncvgt1", rcode, nout ) - if ( nd .eq. 0 ) nd = 1 - call vfrmt2 ( nd, "i5", fmt ) - fmt1 = '/,"ncvgt1: cdfid = ", i3, " vid= ",i5,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"index of the data value is ...",' - $ //fmt//',/,' - fmtn(3) = '"value of the data is ...",1pe12.4 )' -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, - $ (vindx(i),i=1,nd), val1 - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 14. nwvg1c. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvg1c ( cdfid, vid, vindx,nd, chval, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, vindx(*), nout(*) - character chval - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - call vfrmt2 ( nd, "i5", fmt ) - fmt1 = '/,"ncvg1c: cdfid = ", i3, " vid= ",i5,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"index of the character value is ...",' - $ //fmt//',/,' - fmtn(3) = '"value of the character is ... ",a )' - if ( rcode .gt. 0 ) call errnc ( "ncvg1c", rcode, nout ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, - $ (vindx(j),j=1,nd), chval - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 15. nwgti. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvgti ( cdfid, vid, start, count,nd, val0, vals, - $ rcode, nd1,nd2, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, start(*), count(*), - $ val0(*), vals(nd1,nd2), nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncvgt1: cdfid = ", i3, " vid= ",i5,/, - $ "start, first corner of hyperslab is ...",5i5,/, - $ "count, edge lengths of the hyperslab is ...", 5i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do i2 = 1, count(2) - do i1 = 1, count(1) - vals(i1,i2) = val0( i1+(i2-1)*count(1) ) - enddo - enddo - if ( rcode .gt. 0 ) call errnc ( "ncvgt", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, vid, - $ (start(i),i=1,5), (count(j),j=1,5) - endif - enddo - call writis ( "Hyperslab of integers is..", vals, nd1,nd2, - $ count, nd, nout ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 16. nwvgt. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvgt ( cdfid, vid, start,count,nd, val0, vals, - $ nd1,nd2, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, start(*), count(*), nout(*) - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) - dimension vals(nd1,nd2), val0(*) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( nd .eq. 1 ) count(2) = 1 - do i2 = 1, count(2) - do i1 = 1, count(1) - vals(i1,i2) = val0( i1+(i2-1)*count(1) ) - enddo - enddo - call vfrmt2 ( nd, "i5", fmt ) - fmt1 = '/,"ncvgt: cdfid = ", i3, " vid= ",i5,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"start, first corner of hyperslab is ...",' - $ //fmt//',/,' - fmtn(3) = '"count, edge lengths of the hyperslab is ...",' - $ //fmt//')' - if ( rcode .gt. 0 ) call errnc ( "ncvgt", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, - $ (start(i),i=1,nd), (count(j),j=1,nd) - endif - enddo - call writvs ( "Hyperslab of Values is..", vals, nd1,nd2, - $ count, nd, nout ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 17. nwvgtc. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwvgtc ( cdfid, vid, start,count,nd, string, lenstr, - $ rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, start(*), count(*), nout(*) - character*(*) string - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - call vfrmt2 ( nd, "i5", fmt ) - fmt1 = '/,"ncvgtc: cdfid = ", i3, " vid= ",i5,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"start, first corner of hyperslab is ...",' - $ //fmt//',/,' - fmtn(3) = '"count, edge lengths of the hyperslab is ...",' - $ //fmt//',/,' - fmtn(4) = '"string, character string is ...",/, a )' - if ( rcode .gt. 0 ) call errnc ( "ncvgtc", rcode, nout ) -c----------------------------------------------------------------------- -c write message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, vid, - $ (start(i),i=1,nd),(count(j),j=1,nd), string - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 18. nwainq. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwainq ( cdfid, vid, attnam, attype, attlen, rcode, - $ nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode, vid, attype, attlen, nout(*) - character*(*) attnam -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncainq: cdfid = ", i3, ". Vid = ",i5,/, - $ "attribute's name, type, and length: ",/,"... ", a, - $ "... ", 2i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "ncainq", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, vid, attnam, - $ attype, attlen - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 19. nwagtc. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwagtc ( cdfid, vid, attnam, astrng, attlen, maxa1, - $ rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode,vid, attlen, nout(*) - character*(*) attnam, astrng - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 50 format ( /, "*** ", a, "'s length too long: ", i4, " >",i4 ) - 100 format ( /,"ncagtc: cdfid = ", i3, - $ " attribute's Vid, name and value = ", i5,/, - $ "... ", a," ...",/, - $ ">> ", a, " <<",/, - $ "attribute length is ... ", i5 ) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - call vfrmt3 ( attlen, "a", fmt ) - fmt1 = '/,"ncagtc: cdfid = ", i3,/,' - fmtn(1) = '('//fmt1 - fmtn(2) = '"attribute''s name, Vid, length, and value: ",/,' - fmtn(3) = '"... ", a," ...", 2i5,/,' - fmtn(4) = '">> ",'//fmt//' " <<" )' - if ( rcode .gt. 0 ) call errnc ( "ncatgc", rcode, nout ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - if ( attlen .gt. maxa1 ) then - write ( nout(io),50 ) attnam, attlen, maxa1 - return - else - write ( nout(io), fmtn ) cdfid, attnam, vid, attlen, - $ astrng - endif - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 20. nwagt. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwagt ( cdfid, vid, attnam, attval, attlen, - $ rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode,vid, attlen, nout(*) - character*(*) attnam - character*8 fmt - character*72 fmt1 - character*72 fmtn(10) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncagt: cdfid = ", i3, - $ " attribute's id, name and value = ", i5,/, - $ "... ", a," ...",/, - $ ">> ", 1pe12.4, " <<",/, - $ "attribute length is ... ", i5 ) -c----------------------------------------------------------------------- -c create format statements. -c----------------------------------------------------------------------- - call vfrmt2 ( attlen, "f13.5", fmt ) - fmt1 = '/,"ncagt: cdfid = ", i3,' - fmtn(1) = '('//fmt1 - fmtn(2) = '" attribute''s name, Vid, length, and value: ",/,' - fmtn(3) = '"... ", a," ...", 2i5,/,' - fmtn(4) = '">> ",'//fmt//' " <<" )' - if ( rcode .gt. 0 ) call errnc ( "ncatgc", rcode, nout ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), fmtn ) cdfid, attnam, vid, attlen, - $ attval - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 21. nwanam. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine nwanam ( cdfid, vid, n, attnam, rcode, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - integer cdfid, rcode,vid, nout(*) - character*(*) attnam -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( /,"ncanam: cdfid = ", i3, - $ ". Attribute's variable ID is ... ", i5,/, - $ "attribute's no. and name is ... ", - $ i4," -- ", a ) -c----------------------------------------------------------------------- -c print messasge. -c----------------------------------------------------------------------- - if ( rcode .gt. 0 ) call errnc ( "nwanam", rcode, nout ) - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) cdfid, vid, n, attnam - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 22. writn1. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writn1 ( mesage, n, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - integer nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( a, i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) mesage, n - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 23. writnn. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writnn ( mesage, n, nd, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - dimension n(*), nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( a, 5i5 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) mesage, (n(i), i=1,nd) - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 24. writa1. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writa1 ( mesage, string1, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - character*(*) string1 - integer nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( a, a ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) mesage, string1 - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 25. writv1. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writv1 ( mesage, a, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - integer nout(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 100 format ( a, 1pe12.4 ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 100 ) mesage, a - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 26. writis. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writis ( mesage, a, nd1, nd2, nw, nd, nout ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - integer a(nd1,nd2), nout(*), nw(*) -c----------------------------------------------------------------------- -c format statments. -c----------------------------------------------------------------------- - 10 format (/, a ) - 50 format ( 10(1x,10i5,/) ) -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), 10 ) mesage - do j1 = 1, nw(1) - write ( nout(io), 50 ) ( a(j1,j2),j2 = 1, nw(2) ) - enddo - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 27. writvs. -c prints message and numerical code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine writvs ( mesage, a, nd1, nd2, nw, nd, nout ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - dimension a(nd1,nd2), nw(*) - integer nout(*) -c----------------------------------------------------------------------- -c format statments. -c----------------------------------------------------------------------- - 10 format (/, a ) - 50 format ( 10(1x,5e13.5,/) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nw1 = nw(1) - nw2 = nw(2) - if ( nd .eq. 1 ) then - nw1 = nw(2) - nw2 = nw(1) - endif -c----------------------------------------------------------------------- -c print message. -c----------------------------------------------------------------------- - do io = 1, 3 - if ( nout(io) .gt. 0 ) then - write ( nout(io), '(/,a)' ) mesage - do j1 = 1, nw1 - if ( nd .ne. 1 ) then - write ( nout(io), 50 ) ( a(j1,j2),j2 = 1, nw2 ) - else - write ( nout(io), 50 ) ( a(j11,1), j11 = 1, nw2 ) - endif - enddo - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 28. vfrmt1. -c creates a format statement. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vfrmt1 ( n, field1, fmt ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) fmt, field1 - character*8 nn -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format ( i4 ) -c----------------------------------------------------------------------- -c create format statement. -c----------------------------------------------------------------------- - write ( nn, 10 ) n - do while ( index(nn,' ') .eq. 1 ) - nn = nn(2:) - enddo - fmt = '('//nn(1:index(nn, ' ')-1)//field1//')' -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 29. vfrmt2. -c creates a format statement. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vfrmt2 ( n, field1, fmt ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) fmt, field1 - character*8 nn -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format ( i4 ) -c----------------------------------------------------------------------- -c create format statement. -c----------------------------------------------------------------------- - write ( nn, 10 ) n - do while ( index(nn,' ') .eq. 1 ) - nn = nn(2:) - enddo - fmt = nn(1:index(nn, ' ')-1)//field1 -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 30. vfrmt3. -c creates a format statement. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vfrmt3 ( n, field1, fmt ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) fmt, field1 - character*8 nn -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format ( i4 ) -c----------------------------------------------------------------------- -c create format statement. -c----------------------------------------------------------------------- - write ( nn, 10 ) n - do while ( index(nn,' ') .eq. 1 ) - nn = nn(2:) - enddo - fmt = field1//nn(1:index(nn, ' ')-1) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 31. bounds. -c defines bounds. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine bounds ( x1,z1, n1,n2, xmin,xmax, zmin,zmax ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension x1(*), z1(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - xmax = -1.0e30 - zmax = -1.0e30 - xmin = 1.0e30 - zmin = 1.0e30 - do i = n1, n2 - if ( xmin .gt. x1(i) ) xmin = x1(i) - if ( zmin .gt. z1(i) ) zmin = z1(i) - if ( xmax .lt. x1(i) ) xmax = x1(i) - if ( zmax .lt. z1(i) ) zmax = z1(i) - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 32. boundsi. -c defines bounds. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine boundsi ( x1,z1, n1,n2, xmin,xmax, zmin,zmax, - $ ixn,ixx,izn,izx ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension x1(*), z1(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - xmax = -1.0e30 - zmax = -1.0e30 - xmin = 1.0e30 - zmin = 1.0e30 - do i = n1, n2 - if ( xmin .gt. x1(i) ) then - xmin = x1(i) - ixn = i - endif - if ( zmin .gt. z1(i) ) then - zmin = z1(i) - izn = i - endif - if ( xmax .lt. x1(i) ) then - xmax = x1(i) - ixx = i - endif - if ( zmax .lt. z1(i) ) then - zmax = z1(i) - izx = i - endif - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 33. macopy. -c copies a real array. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine macopy ( ain,ndin, aout,ndout ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension ain(ndin,ndin), aout(ndout,ndout) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do i = 1, ndin - do j = 1, ndin - aout(i,j) = ain(i,j) - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 34. matwrt. -c writes a real array. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine matwrt ( a, maxj1, maxj2, jmax1, jmax2, label ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) label - integer out - dimension a ( maxj1, maxj2 ) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 10 format ( //, 5x, "matrix elements of ", a ) - 20 format ( i4,10(1x,1p10e11.4,/) ) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - out = 23 - write ( out, 10 ) label - do j1 = 1, jmax1 - write ( out, 20 ) j1, ( a(j1,j2),j2 = 1, jmax2 ) - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 35. vacasym. -c writes a real array. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vacasym ( vacin, nd,nnj,label, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) label - dimension vacin(nd,nd) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 111 format (/, 1x," Asymmetries in ", a ) - 112 format( /,1x," sum of diagonals, sd = ",1pe12.4, - $ /,1x," sum of off-diagonals, sod = ",1pe12.4, - $ /,1x," difference in off diagonals, dod =",1pe12.4, - $ //,1x," dod/sod = ",1pe12.4, - $ /,1x," dod/(sd+sod) = ",1pe12.4,/ ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - vacrd = 0.0 - vacrso = 0.0 - vacrsd = 0.0 - write ( nout1, 111 ) label - write ( nout2, 111 ) label - do l1 = 1, nnj - vacrsd = vacrsd + vacin(l1,l1) - do l2 = 1, l1 - vacrd = vacrd + abs ( vacin(l1,l2) - vacin(l2,l1) ) - if ( l1 .ne. l2 ) - . vacrso = vacrso + abs ( vacin(l1,l2)+vacin(l2,l1) ) - enddo - enddo - asymv1 = vacrd / vacrso - asymv2 = vacrd / ( vacrso + vacrsd ) - write ( nout1,112 ) vacrsd, vacrso, vacrd, asymv1,asymv2 - write ( nout2,112 ) vacrsd, vacrso, vacrd, asymv1,asymv2 -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 36. masym0. -c writes a real array. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine masym0 ( vacin, nd,nnj,n1,n2,n10,n20, - $ label, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) label - dimension vacin(nd,nd) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 111 format (/, 1x," Asymmetries in ", a, - $ " -- Ignores la,lb = ", 2i3 ) - 112 format( /,1x," sum of diagonals, sd = ",1pe12.4, - $ /,1x," sum of off-diagonals, sod = ",1pe12.4, - $ /,1x," difference in off diagonals, dod =",1pe12.4, - $ //,1x," dod/sod = ",1pe12.4, - $ /,1x," dod/(sd+sod) = ",1pe12.4,/ ) -c----------------------------------------------------------------------- -c compuations. -c----------------------------------------------------------------------- - vacrd = 0.0 - vacrso = 0.0 - vacrsd = 0.0 - write ( nout1, 111 ) label, n10, n20 - write ( nout2, 111 ) label, n10, n20 - do l1 = 1, nnj - lla = l1 - 1 + n1 - if ( lla .ne. n10 ) then - vacrsd = vacrsd + vacin(l1,l1) - do l2 = 1, l1 - llb = l2 - 1 + n2 - if ( llb .ne. n20 ) then - vacrd = vacrd + abs ( vacin(l1,l2) - vacin(l2,l1) ) - if ( l1 .ne. l2 ) - $ vacrso=vacrso+abs(vacin(l1,l2)+vacin(l2,l1)) - endif - enddo - endif - enddo - asymv1 = vacrd / vacrso - asymv2 = vacrd / ( vacrso + vacrsd ) - write ( nout1,112 ) vacrsd, vacrso, vacrd, asymv1,asymv2 - write ( nout2,112 ) vacrsd, vacrso, vacrd, asymv1,asymv2 -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 37. vacasymi. -c writes a real array. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vacasymi ( vacin, nd,nnj,label, nout1,nout2 ) - USE vglobal_mod, ONLY: r8 - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - character*(*) label - dimension vacin(nd,nd), wrkrd(nfm),wrkrso(nfm),wrkrsd(nfm), - $ zsymv1(nfm),zsymv2(nfm) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 111 format (/, 1x," Asymmetries in nested sub-matrices of ", a ) - 221 format(/,1x," sum of diagonals, sd = ",/,(1p8e12.4)) - 222 format(1x," sum of off-diagonals, sod = ",/,(1p8e12.4)) - 223 format(1x," difference in off diagonals, dod =",/,(1p8e12.4)) - 224 format(1x," dod/sod = ",/,(1p8e12.4)) - 225 format(1x," dod/(sd+sod) = ",/,(1p8e12.4)) -c----------------------------------------------------------------------- -c zero arrays. -c----------------------------------------------------------------------- - do j = 1, nnj - wrkrd(j) = 0.0 - wrkrso(j) = 0.0 - wrkrsd(j) = 0.0 - enddo -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - write ( nout1, 111 ) label - write ( nout2, 111 ) label - ncnt = 0 - do l1 = 1, nnj/2 + 1 - ja = l1 - jb = nnj - l1 + 1 - jab = jb - ja + 1 - if ( jab .ge. 2 )then - do jin1 = 1, jab - ja1 = ja + jin1 - 1 - wrkrsd(l1) = wrkrsd(l1) + vacin(ja1,ja1) - do jin2 = 1, jin1 - ja2 = ja + jin2 - 1 - wrkrd(l1) = wrkrd(l1) + - $ abs ( vacin(ja1,ja2) - vacin(ja2,ja1) ) - if ( ja1 .ne. ja2 ) - $ wrkrso(l1) = wrkrso(l1) + - $ abs ( vacin(ja1,ja2)+vacin(ja2,ja1) ) - enddo - enddo - ncnt = ncnt + 1 - endif - enddo - do j = 1, ncnt - zsymv1(j) = wrkrd(j) / wrkrso(j) - zsymv2(j) = wrkrd(j) / ( wrkrso(j) + wrkrsd(j) ) - enddo -c----------------------------------------------------------------------- -c write statements. -c----------------------------------------------------------------------- - write ( nout1,'("ncnt = ",i3)') ncnt - write ( nout2,'("ncnt = ",i3)') ncnt - write ( nout1,221 ) ( wrkrsd(i), i = 1, ncnt ) - write ( nout1,222 ) ( wrkrso(i), i = 1, ncnt ) - write ( nout1,223 ) ( wrkrd(i), i = 1, ncnt ) - write ( nout1,224 ) ( zsymv1(i), i = 1, ncnt ) - write ( nout1,225 ) ( zsymv2(i), i = 1, ncnt ) - write ( nout2,221 ) ( wrkrsd(i), i = 1, ncnt ) - write ( nout2,222 ) ( wrkrso(i), i = 1, ncnt ) - write ( nout2,223 ) ( wrkrd(i), i = 1, ncnt ) - write ( nout2,224 ) ( zsymv1(i), i = 1, ncnt ) - write ( nout2,225 ) ( zsymv2(i), i = 1, ncnt ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end -c----------------------------------------------------------------------- -c subprogram 38. msctimer. -c computes elapsed cpu time; dummy routine. -c----------------------------------------------------------------------- - subroutine msctimer ( nout,mesage ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - character*(*) mesage - return - end -c----------------------------------------------------------------------- -c subprogram 39. shftpi. -c shifts angular variable by pi? -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine shftpi ( xin,fin, xout,fout, n ) - USE vglobal_mod, ONLY: r8 - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - dimension xin(*), fin(*), xout(*), fout(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - nm = n-1 - n2 = nm/2 - do i = 1, n - im = i-1 + n2 - ig = mod(im,nm) + 1 - xout(ig) = xin(i) - if ( i .gt. n2 ) xout(ig) = xin(i) - xin(n) - fout(ig) = fin(i) - enddo - fout(n) = fout(1) - xout(n) = xin(n2+1) -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - return - end diff --git a/src/Vacuum/fortran/vacuum_vac.f b/src/Vacuum/fortran/vacuum_vac.f deleted file mode 100644 index b0cf2226..00000000 --- a/src/Vacuum/fortran/vacuum_vac.f +++ /dev/null @@ -1,2549 +0,0 @@ -c----------------------------------------------------------------------- -c file vacuum_vac.f. -c main computation of vacuum energy in Morrell Chance's vacuum code. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c code organization. -c----------------------------------------------------------------------- -c 1. vaccal -c 2. kernel -c 3. mateig -c 4. mateig2 -c 5. arrays -c 6. wwall -c 7. d3dwall -c 8. d3dvesl -c 9. eqarcw -c 10. gatonorm -c 11. adjustb -c 12. fouran -c 13. foranv -c 14. foura2 -c 15. fanal -c 16. fanal1 -c 17. felang -c 18. felanv -c 19. fotofi -c 20. orchek -c 21. tmat -c 22. wtopest -c 23. savewall -c----------------------------------------------------------------------- -c subprogram 1. vaccal. -c solution of the vacuum integral equations. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine vaccal - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8) nq - integer tmth - - REAL(r8), DIMENSION(2) :: summ - REAL(r8), DIMENSION(nfm) :: work0 - REAL(r8), DIMENSION(nfmsq) :: vacpstr,vacpsti,work,work1 - REAL(r8), DIMENSION(nfm,nfm) :: vacmti,wrkvr,wrkvi - REAL(r8), DIMENSION(mtot,mtot) :: ajll,rmatr,rmati - REAL(r8), DIMENSION(nths2,nfm2) :: dummy - - REAL(r8), DIMENSION(:,:), POINTER :: grdgre,arr,aii,ari,air -c----------------------------------------------------------------------- -c interface block. -c----------------------------------------------------------------------- - INTERFACE - SUBROUTINE kernel(xobs,zobs,xsce,zsce,grdgre,gren, - $ j1,j2,isgn,iopw,iops,ischk) - USE vglobal_mod - REAL(r8), DIMENSION(:), INTENT(IN) :: xobs,zobs,xsce,zsce - REAL(r8), DIMENSION(:,:), INTENT(OUT) :: grdgre - REAL(r8), DIMENSION(:,:), INTENT(OUT), TARGET :: gren - INTEGER, INTENT(IN) :: j1,j2,isgn,iopw,iops,ischk - INTEGER :: sTime, fTime, cr - END SUBROUTINE kernel - END INTERFACE -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 9002 format ( 1x, i4, 3x, 1p5e14.5 ) - 8180 format ( /, 5x, "constant,cn0, added to grdgre = ", f7.3 ) - 8050 format (/, 1x, " ier in f04aae = ", i5 ) - 8312 format ( " Writing Chi-i-l " ) - 8311 format ( 2i5 ) - 8313 format ( 1p10e14.6 ) - 215 format ( /, 3x,"l",5x,"sumpc",5x,"sumps",5x, - $ "sumwc",5x,"sumws" ) - 217 format ( 1x, i4, 1p4e12.4 ) - 8020 format ( 1x,/, "jtop, jbot, mw, icount = ", 4i5, / ) - 500 format (//,1x,'n,q, nj,mj,lj = ',1p2e12.4,3i5,/ ) - 501 format ( 1x, " delta =",/, (1x,10e11.4) ) - 554 format ( 4i5, e13.5 ) - 555 format ( 10e13.5 ) -c----------------------------------------------------------------------- -c zero local arrays. -c----------------------------------------------------------------------- - ALLOCATE(grdgre(nths2,nths2)) - grdgre=0 - grri=0 - ajll=0 - rmatr=0 - rmati=0 - dummy=0 -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - write ( outmod, '(/,10x, "Matrix Storage: K(obs_ji,sou_ji):",//, - $ 10x, "j = observer points. :i = source points.",/, - $ 10x, " ie. K operates on chi from the left."//, - $ 10x, "Observer Source Block",/, - $ 10x, " plasma plasma 1 1",/, - $ 10x, " plasma wall 1 2",/, - $ 10x, " wall plasma 2 1",/, - $ 10x, " wall wall 2 2",/ )' ) - xwal(1) = 0. - zwal(1) = 0. - ier = 0 - factpi = twopi - jmax = 2*lmax(1) + 1 - jmax1 = lmax(1) - lmin(1) + 1 - lmax1 = lmax(1) + 1 - ln = lmin(1) - lx = lmax(1) - jdel = 8 - q = qa1 - nq = n*q - tmth = 2*mth - mthsq = tmth * tmth - lmth = tmth * 2*jmax1 - j1v = nfm - j2v = nfm - if ( check1 ) - $ call msctimer ( outmod, "before kernels" ) - j1 = 1 - j2 = 1 - ksgn = 2*j2 - 3 - call kernel(xpla,zpla,xpla,zpla,grdgre,grwp,j1,j2,ksgn,1,1,0) - if ( checkd .and. (lfele .eq. 0) ) then - call matwrtn ( grwp,nths,nths,1,1,mth,mth,16,8, - $ "grwp at 1,1", outmod, iotty ) - call matwrtn ( grdgre,nths2,nths2,1,1,mth,mth,mth,mth, - $ "grdgre at 1,1", outmod, iotty ) - endif - do i = 1, mth2 - grwp(i,mth1) = grwp(i,1) - grwp(i,mth2) = grwp(i,2) - enddo - if ( lfele .eq. 1 ) then - call felang ( grwp, grri, cnqd, 0,0 ) - call felang ( grwp, grri, snqd, 0,jmax1 ) - endif - if ( lfour .eq. 1 ) then - call fouran ( grwp, grri, cslth, 0,0 ) - call fouran ( grwp, grri, snlth, 0,jmax1 ) - endif - if ( checkd .and. (lfele .eq. 0) ) then - call foura2 ( grdgre,0,0, grwp, 0 ) - call fanal1 ( grwp,nths,nths,0, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Real Kpp(l,l)", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Imag Kpp(l,l)", outmod,0 ) - call fanal1 ( grri,nths2,nfm2,0, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Real GPP_ll", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Imag GPP_ll", outmod,0 ) - endif - iwp = 1 - if ( .not. farwal ) then - call wwall ( mth1, xwal, zwal ) - j1 = 1 - j2 = 2 - ksgn = 2*j2 - 3 - call kernel(xpla,zpla,xwal,zwal,grdgre,grwp,j1,j2,ksgn,0,0,1) - j1 = 2 - j2 = 2 - ksgn = 2*j2 - 3 - call kernel(xwal,zwal,xwal,zwal,grdgre,grwp,j1,j2,ksgn,0,0,1) - if ( checkd .and. (lfele .eq. 0) ) then - call foura2 ( grdgre,mth,mth, grwp, 0 ) - call fanal1 ( grwp,nths,nths,0, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Real Kww(l,l)", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Imag Kww(l,l)", outmod,0 ) - endif - j1 = 2 - j2 = 1 - ksgn = 2*j2 - 3 - call kernel(xwal,zwal,xpla,zpla,grdgre,grwp,j1,j2,ksgn,1,0,1) - do i = 1, mth2 - grwp(i,mth1) = grwp(i,1) - grwp(i,mth2) = grwp(i,2) - enddo - if ( lfele .eq. 1 ) then - call felang ( grwp, grri, cnqd, mth,0 ) - call felang ( grwp, grri, snqd, mth,jmax1 ) - endif - if ( lfour .eq. 1 ) then - call fouran ( grwp, grri, cslth, mth,0 ) - call fouran ( grwp, grri, snlth, mth,jmax1 ) - endif - if ( checkd .and. (lfele .eq. 0) ) then - call fanal1 ( grri,nths2,nfm2,mth, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Real GWP_ll", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Imag GWP_ll", outmod,0 ) - endif - iwp = 2 - endif - if ( check1 ) - $ call msctimer ( outmod, "aft kern and fourier" ) - mth12 = iwp*mth - if ( n .le. 0.1 ) then - do j = 1, mth12 - do ii = 1, 2 - summ(ii) = zero - i1 = (ii-1) * mth + 1 - i2 = ii * mth - do i = i1, i2 - summ(ii) = summ(ii) + grdgre ( j, i ) - enddo - enddo - sum11 = summ(1) - sum12 = summ(2) - if ( check2 ) - $ write ( outmod, 9002 ) j, sum11, sum12 - enddo - endif - if ( check2 ) then - endif - if ( checkd .and. (lfele .eq. 0) ) then - call matwrtn ( grwp,nths,nths,1,1,mth,mth,16,8, - $ "grwp at end", outmod, iotty ) - call matwrtn ( grdgre,nths2,nths2,1,1,mth12,mth12,16,8, - $ "grdgre at end", outmod, iotty ) - endif - write ( iotty, '(/, - $ "Sum of first COLUMN in each block of GRDGRE:",/)') - write ( outmod, '(/, - $ "Sum of first COLUMN in each block of GRDGRE:",/)') - do j1 = 1,2 - do j2 = 1,2 - sumg = 0.0 - do i = 1, mth - sumg = sumg + grdgre( (j1-1)*mth+i,(j2-1)*mth+1 ) - enddo - write( iotty, '("j1,j2, sumg= ",2i3,1pe11.3)' ) j1,j2,sumg - write( outmod, '("j1,j2, sumg= ",2i3,1pe11.3)' ) j1,j2,sumg - enddo - enddo - write ( iotty, '(/, - $ "Sum of first ROW in each block of GRDGRE:",/)') - write ( outmod, '(/, - $ "Sum of first ROW in each block of GRDGRE:",/)') - do j1 = 1,2 - do j2 = 1,2 - sumg = 0.0 - do i = 1, mth - sumg = sumg + grdgre( (j1-1)*mth+1,(j2-1)*mth+i ) - enddo - write( iotty, '("j1,j2, sumg= ",2i3,1pe11.3)' ) j1,j2,sumg - write( outmod, '("j1,j2, sumg= ",2i3,1pe11.3)' ) j1,j2,sumg - enddo - enddo - if ( check1 ) - $ call msctimer ( outmod, "before leqt1f" ) - lmax2 = 2*jmax1 - if ( (abs(n) .le. 1.e-5) .and. .not. farwal .and. (ishape .le. 10) - $ )then - write (outmod,8180) cn0 - do i = 1, mth12 - do j = 1, mth12 - grdgre(i,j) = grdgre(i,j) + cn0 - enddo - enddo - endif - ier = 0 - - IF (kernelsign < 0) THEN - grdgre=kernelsign*grdgre - DO i=1,nths2 - grdgre(i,i)=grdgre(i,i)+2.0 - ENDDO - ENDIF - - call gelimb (grdgre,nths2,dummy,nths2,mth12,lmax2, - $ grri,nths2,work1,ier ) - deallocate(grdgre) - - allocate(arr(nfm,nfm),ari(nfm,nfm),air(nfm,nfm),aii(nfm,nfm)) - if ( check1 ) - $ call msctimer ( outmod, "after leqt1f" ) - write ( outmod,8050 ) ier - write ( iotty, 8050 ) ier - if ( lspark .ne. 0 ) then - write ( iodsk, 8312 ) - write ( iodsk, 8311 ) jmax1, mth12 - do jwdsk = 1, lmax2 - write ( iodsk, 8313 ) ( grri(iwdsk,jwdsk),iwdsk=1,mth12 ) - enddo - endif - if ( check2 ) write (outmod,215) - do l1 = 1, jmax1 - sumpc = 0.0 - sumps = 0.0 - sumwc = 0.0 - sumws = 0.0 - do i = 1, mth - sumpc = sumpc + grri(i,l1) - sumps = sumps + grri(i,jmax1+l1) - sumwc = sumwc + grri(mth+i,l1) - sumws = sumws + grri(mth+i,jmax1+l1) - enddo - ll = l1 - 1 + lmin(1) - if ( check2 ) write ( outmod,217 ) ll, sumpc,sumps, - $ sumwc,sumws - enddo - call wwall ( mth1, xwal, zwal ) - mw = mth - (jtop-jbot-1) - do l1 = 1, jmax1 - iw = mth - jtop + 2 - icnt = 0 - do i = 1, mth - il11 = (l1-1)*mth12 + mth + i - il12 = jmax1*mth12 + il11 - if ( (i.le.jbot) .or. (i.ge.jtop) ) then - if ( i .eq. jtop ) iw = 1 - chiwc(iw,l1) = grri(mth+i,l1) - chiws(iw,l1) = grri(mth+i,jmax1+l1) - xpass(iw) = xwal(i) - zpass(iw) = zwal(i) - iw = iw + 1 - icnt = icnt + 1 - endif - enddo - if ( jtop .eq. jbot ) then - chiwc(mw,l1) = chiwc(1,l1) - chiws(mw,l1) = chiws(1,l1) - xpass(mw) = xpass(1) - zpass(mw) = zpass(1) - endif - enddo - if ( jtop .eq. jbot ) then - if ( checkd .and. (lfele .eq. 0) ) then - call fanal1 ( grri,nths2,nfm2,0, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Chiplar", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Chiplai", outmod,0 ) - call fanal1 ( grri,nths2,nfm2,mth, wrkvr,wrkvi,nfm,nfm ) - call matwrtn(wrkvr,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Chiwal", outmod,0 ) - call matwrtn(wrkvi,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Chiwali", outmod,0 ) - endif - endif - if ( check2 ) - $ write ( outmod,8020 ) jtop, jbot, mw, icnt - if ( lfele .ne. 0 ) then - write ( outmod, '(/,20x,"Finite Elements",/)' ) - call felanv ( grri,arr, cnqd, 0,0 ) - call felanv ( grri,aii, snqd, 0,jmax1 ) - call felanv ( grri,ari, snqd, 0,0 ) - call felanv ( grri,air, cnqd, 0,jmax1 ) - do j1 = 1, jmax1 - do j2 = 1, jmax1 - vacmat(j1,j2) = ( arr(j1,j2) + aii(j1,j2) ) - vacmti(j1,j2) = ( air(j1,j2) - ari(j1,j2) ) - enddo - enddo - else - call foranv ( grri,arr, cslth, 0,0 ) - call foranv ( grri,aii, snlth, 0,jmax1 ) - call foranv ( grri,ari, snlth, 0,0 ) - call foranv ( grri,air, cslth, 0,jmax1 ) - if ( lnova ) then - do l1 = 1, jmax1 - ll1 = l1 - 1 + lmin(1) - al1nq = ll1 - nq - do l2 = 1, jmax1 - ll = l2 - 1 + lmin(1) - al2nq = ll - nq - do i = 1, mth - theta = (i-1)*dth - ar = ( xjdtxj(i)*grri(i,l1)- - $ al2nq*grri(i,jmax1+l1) ) * factpi - ai = ( xjdtxj(i)*grri(i,jmax1+l1)+ - $ al2nq*grri(i,l1) ) * factpi - ar1 = (ai*cslth(i,l2)-ar*snlth(i,l2)) - $ /xjacob(i) - ai1 = -(ar*cslth(i,l2)+ai*snlth(i,l2)) - $ /xjacob(i) - rmatr(l2,l1) = rmatr(l2,l1) - $ + ar1 - rmati(l2,l1) = rmati(l2,l1) - $ + ai1 - el1l2t = ( ll1-ll ) * theta - ajll(l2,l1) = ajll(l2,l1) - $ + cos(el1l2t) - $ / (twopi*xjacob(i)) - enddo - ajll(l2,l1) = dth * ajll(l2,l1) - rmatr(l2,l1) = rmatr(l2,l1) - $ * dth*al1nq/twopi2 - rmati(l2,l1) = rmati(l2,l1) - $ * dth*al1nq/twopi2 - enddo - enddo - endif - do j1 = 1, jmax1 - do j2 = 1, jmax1 - vacmat(j1,j2) = arr(j1,j2) + aii(j1,j2) - vacmti(j1,j2) = air(j1,j2) - ari(j1,j2) - enddo - enddo - endif - if ( checkd ) then - call matwrtn ( arr, j1v,j2v, ln,ln,jmax1,jmax1,jdel,jdel, - $ "arr", outmod,0 ) - call matwrtn ( aii, j1v,j2v, ln,ln,jmax1,jmax1,jdel,jdel, - $ "aii", outmod,0 ) - call matwrtn ( ari, j1v,j2v, ln,ln,jmax1,jmax1,jdel,jdel, - $ "ari", outmod,0 ) - call matwrtn ( air, j1v,j2v, ln,ln,jmax1,jmax1,jdel,jdel, - $ "air", outmod,0 ) - endif - write ( iotty, '(/,1x," n, mth, lmin, lmax = ",f4.1, 3i5)') - $ n, mth, lmin(1), lmax(1) - write ( outmod, '(/,1x," n, mth, lmin, lmax = ",f4.1, 3i5)') - $ n, mth, lmin(1), lmax(1) - if ( lgato .eq. 1 ) then - call gatonorm ( vacmat, gatovac, nfm, rgato,mfel,mth, - $ qa1,twopi ) - call matwrtn ( gatovac,nfm,nfm,ln,ln,jmax1,jmax1,8,8, - $ "GATOVAC", outmod,iotty ) - endif - if ( check1 ) - $ call msctimer ( outmod, "end of vacmat" ) - if ( lgato .eq. 2 ) then - call orchek ( air, ari, rmatr, rmati, work, work1 ) - do j1 = 1, jmax1 - do j2 = 1, jmax1 - rmatr(j1,j2) = (arr(j1,j2) + aii(j1,j2)) - enddo - enddo - iopc = 1 - iops = 2 - call fotofi ( rmatr, rmati, sinlt, air, ari, iops ) - call matwrtn ( rmati,nfm,nfm,1,1,mfel,mfel,8,8,"VFinels", - $ outmod,iotty ) - call fotofi ( rmatr, rmatr, coslt, air, ari, iopc ) - call matwrtn ( rmatr,nfm,nfm,1,1,mfel,mfel,8,8,"VFinelc", - $ outmod,iotty ) - do ma = 1, mfel - do mb = 1, mfel - rmatr(ma,mb) = rmatr(ma,mb) + rmati(ma,mb) - enddo - enddo - call matwrtn ( rmatr,nfm,nfm,1,1,mfel,mfel,8,8,"VFinel", - $ outmod,iotty ) - call vacasym ( rmatr, nfm,mfel,"VFinel", outmod,iotty ) - call gatonorm ( rmatr, gatovac, nfm, rgato,mfel,mth, - $ qa1,twopi ) - call matwrtn ( gatovac,nfm,nfm,1,1,mfel,mfel,8,8, - $ "GATOVAC", outmod,iotty ) - endif - deallocate(arr,ari,air,aii) - write ( outmod, 500 ) n,q, nj,mj,lj - if ( (.not. lpest1) .and. check2 ) - $ write ( outmod, 501 ) ( delta(i),i=1,mth1 ) - if ( checke ) then - if ( lgato .eq. 2 ) then - write ( outmod, '(/,20x, "lgato = 2:")' ) - call mateig2 ( rmatr, nfm,mfel, wrkvr,work0,work,work1, - $ ln,lx,ff, 0, jobid, outmod ) - endif - if ( lgato .eq. 1 ) then - write ( outmod, '(/,20x, "lgato = 1:")' ) - call mateig2 ( vacmat, nfm,mfel, wrkvr,work0,work,work1, - $ ln,lx,ff, 0, jobid, outmod ) - endif - endif - if ( lgato .eq. 0 ) then - do l1 = 1, jmax1 - do l2 = 1, jmax1 - ajll(l1,l2) = ( rmati(l1,l2)-rmatr(l1,l2) ) - enddo - enddo - do j1 = 1, jmax1 - l1 = j1 + lmin(1) - 1 - alnq1 = l1 - nq - do j2 = 1, jmax1 - l2 = j2 + lmin(1) - 1 - alnq2 = l2 - nq - - vacmatu(j1,j2) = vacmat(j1,j2) - vacmtiu(j1,j2) = vacmti(j1,j2) - enddo - enddo - if ( lnova ) then - call matwrtn(rmati,mtot,mtot,ln,ln,jmax1,jmax1,jdel,jdel, - $ "rmati", outmod,0 ) - call matmul1 ( ajll,vacmat, mtot,nfm,jmax1, rmati,mtot ) - do l1 = 1, jmax1 - do l2 = 1, jmax1 - rmati(l1,l2) = rmati(l1,l2) / twopi2 - enddo - enddo - call matwrtn ( ajll,mtot,mtot,ln,ln,jmax1,jmax1,jdel,jdel, - $ "inverse j matrix", outmod,0 ) - call matwrtn ( rmati,mtot,mtot,ln,ln,jmax1,jmax1,jdel,jdel, - $ "p-xi matrix ", outmod,0 ) - endif - write ( outmod, '(a)' ) char(12) - call matwrtn ( vacmat,nfm,nfm,ln,ln,jmax1,jmax1,jdel,jdel, - $ "Vacmat with l-nq", outmod,iotty ) - call matwrt9 ( vacmat, nfm,nfm,ln,lx, "Vacmat with l-nq", - $ outmod,iotty ) - if ( checkd ) - $ call matwrtn(vacmti,j1v,j2v,ln,ln,jmax1,jmax1,jdel,jdel, - $ "vacmti", outmod,0 ) - call vacasym ( vacmat, nfm,jmax1,"Vacmat", outmod,iotty ) - call masym0 ( vacmat, nfm,jmax1,ln,ln,0,0, - $ "Vacmat", outmod,iotty ) - if ( checke ) then - write ( outmod, '(/,20x, "Fourier With l-nq :")' ) - call mateig2 ( vacmat, nfm,jmax1, wrkvr,work0,work,work1, - $ ln,lx, ff, 2, jobid, outmod ) - endif - endif - IF ( lsymz ) THEN - - do 601 l1 = 1, jmax1 - do 600 l2 = l1, jmax1 - vacmat(l1,l2) = 0.5 * ( vacmat(l1,l2)+vacmat(l2,l1) ) - vacmti(l1,l2) = 0.5 * ( vacmti(l1,l2)-vacmti(l2,l1) ) - rmatr(l1,l2) = 0.5 * ( rmatr(l1,l2)+rmatr(l2,l1) ) - 600 continue - 601 continue - do 621 l1 = 1, jmax1 - do 620 l2 = l1, jmax1 - vacmat(l2,l1) = vacmat(l1,l2) - IF ( l1 /= l2 ) vacmti(l2,l1) = - vacmti(l1,l2) - IF ( L1 == L2 ) vacmti(l2,l1) = 0.0 - rmatr(l2,l1) = rmatr(l1,l2) - 620 continue - 621 continue - ENDIF - if ( ladj .eq. 1 ) then - open ( 60, file='vacadj', status='unknown', form='formatted' - . ,recl=160) - nadj = n + 0.001 - write ( 60, 554 ) mthin1,lmin(1),lmax(1),nadj,qa1 - do j1 = 1, jmax1 - write ( 60, 555 ) ( vacmat(j1,j2), j2=1,jmax1 ) - enddo - close ( 60 ) - elseif ( (ldcon .eq. 1).or.(lgpec .eq. 1)) then - open ( 62, file='vacdcon', status='unknown', form='formatted' - . ,recl=160) - ndcon = n + 0.001 - write ( 62,'("mthin1, lmin, lmax, n, q = ")' ) - write ( 62, '(4i5, e15.7)' ) mthin1,lmin(1),lmax(1),ndcon,qa1 - write ( 62, '("Real Vacmat:")' ) - do j1 = 1, jmax1 - write ( 62,'(10e15.7)' ) ( vacmat(j1,j2), j2=1,jmax1 ) - enddo - write ( 62, '("Imag. Vacmat:")' ) - do j1 = 1, jmax1 - write ( 62,'(10e15.7)' ) ( vacmti(j1,j2), j2=1,jmax1 ) - enddo - close ( 62 ) - elseif ( lnova ) then - call matwrtn(rmatr,mtot,mtot,ln,ln,jmax1,jmax1,jdel,jdel, - $ "rmatr", outmod,0 ) - call matwrtn ( ajll,mtot,mtot,ln,ln,jmax1,jmax1,jdel,jdel, - $ "pll-mc minus pll-fc ", outmod,0 ) - mtots = mtot**2 - len=mtots+5 - ndsk=1 - call zop (iovac,"vacout",len,ndsk,iiff,999) - lgivup=1 - call zwr(iovac,rmatr,mtots,1,lgivup,999) - call zcl ( iovac, 999 ) - else - j12 = 1 - do j2 = 1, jmax1 - do j1 = 1, jmax1 - vacpstr(j12) = vacmat(j1,j2) - vacpsti(j12) = vacmti(j1,j2) - j12 = j12 + 1 - enddo - enddo - call wtopest ( vacpstr, vacpsti, xwal, zwal ) - endif - call arrays - if ( check2 ) then - write ( outmod, '("I, xp, zp, xw, zw, xpp, zpp, xwp, zwp =")' ) - write ( iotty, '("I, xp, zp, xw, zw, xpp, zpp, xwp, zwp =")' ) - do i = 1, mth1, 8 - write ( outmod, '(i3, 1x, 8f8.2)' ) - $ i, xpla(i), zpla(i), xwal(i), zwal(i), - $ xplap(i), zplap(i), xwalp(i), zwalp(i) - write ( iotty, '(i3, 1x, 8f8.2)' ) - $ i, xpla(i), zpla(i), xwal(i), zwal(i), - $ xplap(i), zplap(i), xwalp(i), zwalp(i) - enddo - endif -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - 999 call errmes ( outpest,'vacuum' ) - END SUBROUTINE vaccal -c----------------------------------------------------------------------- -c subprogram 2. kernel. -c computes kernels of integral equation for Laplace's -c equation for a torus. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - SUBROUTINE kernel(xobs,zobs,xsce,zsce,grdgre,gren, - $ j1,j2,isgn,iopw,iops,ischk) - USE vglobal_mod - IMPLICIT NONE - - REAL(r8), DIMENSION(:), INTENT(IN) :: xobs,zobs,xsce,zsce - REAL(r8), DIMENSION(:,:), INTENT(OUT) :: grdgre - REAL(r8), DIMENSION(:,:), INTENT(OUT), TARGET :: gren - INTEGER, INTENT(IN) :: j1,j2,isgn,iopw,iops,ischk - - INTEGER :: i,ic,iend,ig,ilr,isph,istart,j,j1j2,jres,js1,js2, - $ js3,js4,js5,mthm,mths - INTEGER, DIMENSION(2) :: iop - INTEGER :: sTime, fTime, cr - - REAL(r8) :: a0,ak0i,alg,alg0,alg1,alg2,algdth,am,amm,ap,app, - $ aval1,resdg,residu,resk0,slog0,slog1m,slog1p,tdth, - $ thes,theta,third,wgbg,wsimpa,wsimpa1,wsimpa2,wsimpa4,wsimpb, - $ wsimpb1,wsimpb2,wsimpb4,xl,xu - REAL(r8), DIMENSION(3) :: tab - REAL(r8), DIMENSION(nths) :: the,xpp,zpp,work,ww1,ww2,ww3,xpr,zpr -c----------------------------------------------------------------------- -c declarations of Gaussian quadrature quantities. -c----------------------------------------------------------------------- - REAL(r8) :: tgaus0,agaus,bgaus,pgaus,pgaus2 - REAL(r8), DIMENSION(8) :: tgaus - REAL(r8), DIMENSION(8), PARAMETER :: wgaus=(/ - $ 0.101228536290376_8,0.222381034453374_8, - $ 0.313706645877887_8,0.362683783378362_8, - $ 0.362683783378362_8,0.313706645877887_8, - $ 0.222381034453374_8,0.101228536290376_8/) - REAL(r8), DIMENSION(8), PARAMETER :: xgaus=(/ - $ -0.960289856497536_8,-0.796666477413627_8, - $ -0.525532409916329_8,-0.183434642495650_8, - $ 0.183434642495650_8,0.525532409916329_8, - $ 0.796666477413627_8,0.960289856497536_8/) -c----------------------------------------------------------------------- -c initialize. -c----------------------------------------------------------------------- - INTEGER :: unit - CHARACTER(len=20) :: filename - - IF(.FALSE.) THEN - - filename = 'output_kernel_run_data.txt' - OPEN(UNIT=unit, FILE=filename, STATUS='UNKNOWN') - - WRITE(unit, '(A)') 'xobs, zobs, xsce, zsce, j1, j2,' // - $ 'isgn, iopw, iops, ischk' - WRITE(unit, *) xobs - WRITE(unit, *) zobs - WRITE(unit, *) xsce - WRITE(unit, *) zsce - WRITE(unit, *) j1, j2, - $ isgn, iopw, iops, ischk - - CLOSE(unit) - STOP - ENDIF - - DO i=1,nths - xpp(i)=0 - zpp(i)=0 - ww1(i)=0 - ww2(i)=0 - ww3(i)=0 - ENDDO - tab(1:3)=0 - ak0i=0 - jres=1 - isph = 0 - mthm=mth-1 - ! WRITE(*,*) "mth1 =",mth1 - ! WRITE(*,*) "nths =",nths - ! WRITE(*,*) "size of gren array =",SIZE(gren,1),SIZE(gren,2) - ! WRITE(*,*) "ZEROING GREN ARRAY" - gren(1:mth1,1:mth1)=0 - the(1:mth1)=(/(i,i=0,mth)/)*dth -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - IF(lfele /= 0)THEN - wsimpb1=dth/two - wsimpb2=dth - wsimpb4=dth - ELSE - wsimpb1=dth/three - wsimpb2=two*dth/three - wsimpb4=four*dth/three - ENDIF - - wsimpa1=dth/three - wsimpa2=two*dth/three - wsimpa4=four*dth/three - third=one/three - algdth=LOG(dth) - slog1m=third*dth*(algdth-third) - slog0=four*third*dth*(algdth-four*third) - slog1p=slog1m - tdth=two*dth - alg=LOG(tdth) - alg0=16.0*dth*(alg-68.0/15.0)/15.0 - alg1=128.0*dth*(alg-8.0/15.0)/45.0 - alg2=4.0*dth*(7.0*alg-11.0/15.0)/45.0 - - IF(ischk == 0)THEN - jbot=mth/2+1 - jtop=mth/2+1 - CALL wwall(mth1,ww1,ww2) - DO i=1,mth1 - IF(i == mth1)CYCLE - IF(ww1(i)*ww1(i+1) > zero)CYCLE - IF(ww1(i) > zero)jbot=i - IF(ww1(i) < zero)jtop=i+1 - isph=1 - ENDDO - ENDIF - - iop(1)=4 - iop(2)=4 - CALL spl1d1(mth1,the,xsce,xpp,iop,1,ww1,ww2,ww3) - CALL spl1d1(mth1,the,zsce,zpp,iop,1,ww1,ww2,ww3) - - DO i=1,mth1 - theta=(i-1)*dth - CALL spl1d2(mth1,the,xsce,xpp,1,theta,tab) - xpr(i)=tab(2) - CALL spl1d2(mth1,the,zsce,zpp,1,theta,tab) - zpr(i)=tab(2) - ENDDO - ! WRITE(*,*) "BEGIN LOOP OVER INTERVALS" -c----------------------------------------------------------------------- -c begin loop over intervals. -c----------------------------------------------------------------------- - CALL SYSTEM_CLOCK(COUNT_RATE=cr) - CALL SYSTEM_CLOCK(COUNT=sTime) - DO j=1,mth - xs=xobs(j) - zs=zobs(j) - thes=the(j) - work(1:mth1)=0 - - IF(xs < zero)GO TO 175 - - aval1=zero - iend=2 - - IF(isph == 1 .AND. j2 == 2)THEN - IF(jbot-j == 1)iend=3 - IF(jbot-j == 0)iend=4 - IF(j-jtop == 0)iend=0 - IF(j-jtop == 1)iend=1 - ENDIF - - istart=4-iend - mths=mth-(istart+iend-1) - - DO i=1,mths - ic=j+i+istart-1 - IF(ic >= mth1)ic=ic-mth - theta=(ic-1)*dth - xt=xsce(ic) - zt=zsce(ic) - IF(xt < zero)CYCLE - xtp=xpr(ic) - ztp=zpr(ic) - IF(ic == j)CYCLE - CALL green - wsimpb=wsimpb2 - IF((i/2)*2 == i)wsimpb=wsimpb4 - IF(i == 1 .OR. i == mths)wsimpb=wsimpb1 - wsimpa=wsimpa2 - IF((i/2)*2 == i)wsimpa=wsimpa4 - IF(i == 1 .OR. i == mths)wsimpa=wsimpa1 - work(ic)=work(ic)+isgn*aval*wsimpa - gren(j,ic)=gren(j,ic)+bval*wsimpb - aval1=aval1+aval0*wsimpa - ENDDO - - j1j2=j1+j2 - - IF(j1j2 /= 2 .AND. isph == 1 .AND. j > jbot .AND. j < jtop) - $ go to 175 - - thes=the(j) - js1=MOD(j-iend+mth-1,mth)+1 - js2=MOD(j-iend+mth,mth)+1 - js3=MOD(j-iend+mth+1,mth)+1 - js4=MOD(j-iend+mth+2,mth)+1 - js5=MOD(j-iend+mth+3,mth)+1 -c----------------------------------------------------------------------- -c perform gaussian quadratures. -c----------------------------------------------------------------------- - DO ilr=1,2 - xl=thes+(2*ilr-iend-2)*dth - xu=xl+tdth - agaus=half*(xu+xl) - bgaus=half*(xu-xl) - tgaus=agaus+xgaus*bgaus - DO ig=1,8 - tgaus0=tgaus(ig) - IF(tgaus0 < zero)tgaus0=twopi+tgaus0 - IF(tgaus0 >= twopi)tgaus0=tgaus0-twopi - CALL spl1d2(mth1,the,xsce,xpp,1,tgaus0,tab) - xt=tab(1) - xtp=tab(2) - CALL spl1d2(mth1,the,zsce,zpp,1,tgaus0,tab) - zt=tab(1) - ztp=tab(2) - CALL green - bval=bval+iops*LOG((thes-tgaus(ig))**2)/xs - pgaus=(tgaus(ig)-thes-(2-iend)*dth)/dth - pgaus2=pgaus*pgaus - wgbg=wgaus(ig)*bgaus - amm=(pgaus2-one)*pgaus*(pgaus-two)/24.0 - amm=amm*wgbg - work(js1)=work(js1)+isgn*aval*amm - am=-(pgaus-one)*pgaus*(pgaus2-four)/6.0 - am=am*wgbg - work(js2)=work(js2)+isgn*aval*am - a0=(pgaus2-one)*(pgaus2-four)/four - work(js3)=work(js3)+isgn*a0*aval*wgbg - ap=-(pgaus+one)*pgaus*(pgaus2-four)/6.0 - ap=ap*wgbg - work(js4)=work(js4)+isgn*aval*ap - app=(pgaus2-one)*pgaus*(pgaus+two)/24.0 - app=app*wgbg - work(js5)=work(js5)+isgn*aval*app - work(j)=work(j)-isgn*aval0*wgbg - IF(j == jres)ak0i=ak0i-isgn*aval0*wgbg - IF(iopw == 0)CYCLE - gren(j,js1)=gren(j,js1)+bval*amm - gren(j,js2)=gren(j,js2)+bval*am - gren(j,js3)=gren(j,js3)+bval*a0*wgbg - gren(j,js4)=gren(j,js4)+bval*ap - gren(j,js5)=gren(j,js5)+bval*app - ENDDO - ENDDO -c----------------------------------------------------------------------- -c remaining computations. -c----------------------------------------------------------------------- - residu=0.0 - IF(j1 == j2)residu=two - - IF(ishape < 10 .OR. ishape == 41 .OR. ishape == 42)THEN - resdg=(2-j1)*(2-j2)+(j1-1)*(j2-1) - resk0=(2-j1)*(2-j2)+(j1-3)*(j2-1) - residu=resdg+resk0 - ENDIF - - work(j)=work(j)-isgn*aval1+residu - IF(j == jres)ak0i=ak0i-isgn*aval1 - - IF(iops == 1 .AND. iopw /= 0)THEN - gren(j,js1)=gren(j,js1)-alg2/xs - gren(j,js2)=gren(j,js2)-alg1/xs - gren(j,js3)=gren(j,js3)-alg0/xs - gren(j,js4)=gren(j,js4)-alg1/xs - gren(j,js5)=gren(j,js5)-alg2/xs - ENDIF - - 175 CONTINUE - - IF((xs < zero).AND.(j2 == 2))work(j)=1.0 - - DO ic=1,mth - grdgre((j1-1)*mth+j,(j2-1)*mth+ic)=work(ic) - gren(j,ic)=gren(j,ic)/twopi - ENDDO - ENDDO - CALL SYSTEM_CLOCK(COUNT=fTime) - IF (verbose_timer_output) THEN - print *,"vac loop time=",REAL(fTime-sTime,r8)/REAL(cr,r8) - ENDIF -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - RETURN - END SUBROUTINE kernel -c----------------------------------------------------------------------- -c subprogram 3. mateig. -c computes matrix eigenvalues. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mateig ( zvec, work, work1 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension zvec(nfm,nfm), work(*), work1(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 9003 format(1x,/,1x, "eigenvector no.",i4, - $ " eigenvalue = ",e12.5,/, 10(1x,1p10e11.4,/ ) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - do i = 1, nfm*nfm - work1(i) = zero - enddo - kk = 1 - do i = 1, jmax1 - do j = 1, i - work1(kk) = zvec(i,j) - kk = kk + 1 - enddo - enddo - call eigen ( work1,work, jmax1, 0 ) - kk = 1 - do i = 1, jmax1 - ii = ( i* (i+1) ) / 2 - j = (i-1)*jmax1 + 1 - jj = j + jmax1 - 1 - write(outmod,9003) i, work1(ii), ( work(j1), j1=j,jj ) - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine mateig -c----------------------------------------------------------------------- -c subprogram 4. mateig2. -c computes matrix eigenvalues. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine mateig2 ( zvec, nd,msiz, zwk,work0,work,work1, l1,l2, - $ ff1,lcone, jobid1, nout1 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - character(*) jobid1 - dimension zvec(nd,nd), zwk(nd,nd), work(*), work1(*), work0(*) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 9003 format(1x,/,1x, "eigenvector no.",i4, - $ " eigenvalue = ",e12.5,/, 10(1x,1p10e11.4,/ ) ) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - mfsq = msiz*msiz - do i = 1, mfsq - work1(i) = 0 - enddo - kk = 1 - do i = 1, msiz - do j = 1, i - work1(kk) = zvec(i,j) - kk = kk + 1 - enddo - enddo - call eigen ( work1,work, msiz, 0 ) - kk = 1 - do i = 1, msiz - ii = ( i* (i+1) ) / 2 - j = (i-1)*msiz + 1 - jj = j + msiz - 1 - work0(i) = work1(ii) - write(nout1,9003) i, work1(ii), ( work(j1), j1=j,jj ) - enddo - do i = 1, msiz - ii = ( i*(i+1) ) / 2 - j = (i-1)*msiz + 1 - jj = j + msiz - 1 - kk = 1 - do j1 = j, jj - zwk(kk,i) = work(j1) - kk = kk + 1 - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine mateig2 -c----------------------------------------------------------------------- -c subprogram 5. arrays. -c computes arrays. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine arrays - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8) nq - dimension the(nths) -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 3 format ( 1x, " delx, dely = ", 1p2e13.5 ) -c----------------------------------------------------------------------- -c preliminary computations. -c----------------------------------------------------------------------- - mth12 = 2*mth - jmax1 = lmax(1) -lmin(1) + 1 - q = qa1 - nq = n*q - call bounds(xpla,zpla,1,mth,xmnp,xmxp,zmnp,zmxp) - xmin = xmnp - xmax = xmxp - zmin = zmnp - zmax = zmxp - plrad = 0.5 * ( xmxp - xmnp ) - xmaj = 0.5 * ( xmxp + xmnp ) - delx = plrad * delfac - delz = plrad * delfac - write ( iotty, 3 ) delx, delz - write ( outmod, 3 ) delx, delz - do i = 1, mth1 - the(i) = (i-1) * dth - enddo - call wwall ( mth1, xwal, zwal ) - call difspl ( mth, the, xwal, xwalp ) - call difspl ( mth, the, zwal, zwalp ) - xwalp(mth+1) = xwalp(1) - zwalp(mth+1) = zwalp(1) -c----------------------------------------------------------------------- -c big do loop. -c----------------------------------------------------------------------- - do l1 = 1, jmax1 - do i = 1, mth - cplar(i,l1) = grri(i,l1) - cplai(i,l1) = grri(i,jmax1+l1) - if ( .not. farwal ) then - cwallr(i,l1) = grri(mth+i,l1) - cwalli(i,l1) = grri(mth+i,jmax1+l1) - endif - enddo - cplar(mth1,l1) = cplar(1,l1) - cplai(mth1,l1) = cplai(1,l1) - if ( .not. farwal ) then - cwallr(mth1,l1) = cwallr(1,l1) - cwalli(mth1,l1) = cwalli(1,l1) - endif - enddo -c----------------------------------------------------------------------- -c another big do loop. -c----------------------------------------------------------------------- - do is = 1, mth1 - theta = (is-1) * dth - znqd = nq*delta(is) - cnqd(is) = cos(znqd) - snqd(is) = sin(znqd) - do l1 = 1, jmax1 - ll = lmin(1) - 1 + l1 - elth = ll * theta - elthnq = ll * theta + znqd - sinlt(is,l1) = sin(elth) - coslt(is,l1) = cos(elth) - snlth(is,l1) = sin(elthnq) - cslth(is,l1) = cos(elthnq) - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine arrays -c----------------------------------------------------------------------- -c subprogram 6. wwall. -c conducting wall specification. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine wwall(nqnqnq,xwal1,zwal1) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - INTEGER:: npots0,npots - logical lfix, insect - REAL(r8) :: csmin - REAL(r8), DIMENSION(:),POINTER :: thetatmp,xwaltmp,xpptmp, - $ ww1tmp,ww2tmp,ww3tmp,tabtmp,zwaltmp - INTEGER, DIMENSION(:),POINTER :: rioptmp - dimension xwal1(*), zwal1(*) - dimension iop(2),xpp(nths),zpp(nths),ww1(nths),ww2(nths), - $ ww3(nths),thet(nths),tabx(3),tabz(3) -c character*(80) stringv(5) - data iplt/0/ -c----------------------------------------------------------------------- -c format statements. -c----------------------------------------------------------------------- - 1000 format(" error bw is less than 1 =",e12.5," wall will intersect - $ the plasma"/) - 1100 format(" **error** b is less than zero=",e12.5) - 1430 format(" newton scheme for finding the nearest wall point",/, - $ " did not converge ",/, - $ " i=",i4,"x/zplasma=",2e15.8,"x/zwal1l=",2e15.8, - $ " theta=",1e10.3," f=",1e15.8,"fp=",1e15.8) - 1460 format(i3," xinf,zinf=",2e10.3," xwal1,zwal1=",2e10.3) - 1450 format(" there are at least ",i3," wall points in the plasma") -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - xpp(1) = 1. - zpp(1) = 1. - ww3(1) = 1. - tabx(1) = 1. - tabz(1) = 1. - awsave = aw - bwsave = bw - insect = .false. - isph = 0 -c----------------------------------------------------------------------- -c ishape< 0 Spherical topology -c ishape<10 Closed toroidal topology -c ishape<20 Solid conductors not linking plasma -c ishape<30 Toroidal conductor with a toroidally symmetric gap. -c Geometry correlated to plasma position and geometry. -c ishape<40 Toroidal conductor with a toroidally symmetric gap. -c Geometry independent of plasma. -c----------------------------------------------------------------------- - if ( a < -100.0 ) then - isph = 1 - ishape = -10 - call bounds(xinf,zinf,1,mth,xmnp,xmxp,zmnp,zmxp) - xmin = xmnp - xmax = xmxp - zmin = zmnp - zmax = zmxp - plrad = 0.5 * ( xmxp - xmnp ) - xmaj = 0.5 * ( xmxp + xmnp ) - zmid = 0.5 * ( zmnp + zmxp ) - hrad = xmax + aw*(xmax-xmaj) - vrad = zmax + bw*(zmax-zmid) - do i = 1, mth1 - xi = xinf(i) - xmaj - zeta = zinf(i) - zmid - bbb = (xi*vrad)**2 + (zeta*hrad)**2 - ccc = -xmaj*vrad*xi + hrad*sqrt( bbb - (zeta*xmaj)**2 ) - xwal1(i) = xmaj + xi*vrad*ccc/bbb - zwal1(i) = zmid + zeta*vrad*ccc/bbb - enddo - go to 145 !go directly to cleanup - endif - if(a .gt. -10.)lfix=.true. - if( farwal ) then - return !early exit because there is no wall - endif - xshift = a - - mthalf = mth2 / 2 - zmin = 3.4e38 - zmax = -3.4e38 - xmin = 3.4e38 - xmax = -3.4e38 - do i = 1, mth - if(xmax .lt. xinf(i))xmax = xinf(i) - if(xmin .gt. xinf(i))xmin = xinf(i) - if(zmax .lt. zinf(i)) zmax = zinf(i) - if(zmin .gt. zinf(i))zmin = zinf(i) - enddo - plrad = 0.5 * ( xmax-xmin ) - xmaj = 0.5 * ( xmax + xmin ) - zmid = 0.5 * ( zmax + zmin ) - zrad = 0.5 * ( zmax - zmin ) - scale = ( zmax - zmin ) - if(((xmax-xmin)/2.0).gt.scale) scale = (xmax-xmin)/2.0 - scale = 1.0 - aw = aw * scale - bw = bw * scale - delta1 = dw * (xinf(1) - xma) -c----------------------------------------------------------------------- -c ishape=2 Elliptical shell confocal to the plasma's radius and -c height. The radius of the shell is a. -c----------------------------------------------------------------------- - if ( ishape==2 ) then - zh = sqrt ( abs(zrad**2 - plrad**2) ) ! h metric - zah = a / zh - zph = plrad / zh - zmup = 0.5*dlog ((zrad+plrad)/(zrad-plrad)) ! mu-plas - zmuw = dlog( zah + sqrt(zah**2 + 1) ) ! mu-wall - zxmup = exp(zmup) - zxmuw = exp(zmuw) - zbwal = zh * cosh ( zmuw ) ! Major radius of wall - bw = zbwal / a ! Elongation of wall - do i = 1, mth2 - the = (i-1) * dth - xwal1(i) = xmaj + a*cos( the ) - zwal1(i) = - bw * a*sin( the ) - enddo - write ( outmod, '(/,"Confocal Ellipse:"/, - $ "mup, expmup = ", 1p2e13.5,/, - $ "muw, expmuw = ", 1p2e13.5,/)') zmup, zxmup, zmuw, zxmuw - write ( iotty, '(/,"Confocal Ellipse:"/, - $ "mup, expmup = ", 1p2e13.5,/, - $ "muw, expmuw = ", 1p2e13.5,/)') zmup, zxmup, zmuw, zxmuw - endif -c----------------------------------------------------------------------- -c ishape=3 -c----------------------------------------------------------------------- - if ( ishape==3 ) then - do i = 1, mth2 - rr = (xinf(i)-xma)**2 + (zinf(i)-zma)**2 - ro = sqrt(rr) - the = atan((zinf(i)-zma)/(xinf(i)-xma)) - thex = abs(the) - lsgn = 1 - if(xma .gt. xinf(i)) the = the + pye - if(i <= mthalf) then - if(xma .gt. xinf(i)) thex = pye - thex - thet(i) =abs(thex) - endif - if(.not. lfix) then - ro = ro + delta1 - xwal1(i) = xma + lsgn * ro * cos ( the ) - zwal1(i) = zma + lsgn * ro * sin ( the ) - else - xshift = ( xmax + xmin ) / 2.0 - xshift = a - the = (i-1) * dth - xwal1(i) = xshift + aw * cos(the + dw*sin(the) ) - zwal1(i) = zma - bw * sin(the) - endif - if(i .gt. mthalf) cycle - if(zwal1(i) .lt. zmin) cycle - j = i - insect = .false. - jsmall = j - jlarge = j - ics = 1 - if(xma .ge. xinf(i))ics = -1 - do - if(zinf(j) .ge. zwal1(i)) then - jsmall = j - else - exit - endif - if(j.ge. mthalf) cycle - if(j.lt.1) cycle - j = j + ics - enddo - jlarge = j - if(abs(xinf(jsmall)-xma).ge.abs(xwal1(i)-xma))insect=.true. - if(abs(xinf(jlarge)-xma).ge.abs(xwal1(i)-xma))insect=.true. - if(.not. insect) cycle - inside = inside + 1 - enddo - endif -c----------------------------------------------------------------------- -c ishape=4 Modified dee-shaped wall independent of plasma gerometry -c with triangularity, dw, squareness and 2nd harmonic of zwall -c in aw and tw. Centered at cw, radius a and elongation bw. -c dee-shaped wall scaled to the radius and geometric center of the -c----------------------------------------------------------------------- - if ( ishape==4 ) then - wcentr = cw - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - sn2th = sin(2.0*the) - xwal1(i) = cw + a*cos( the + dw*sin(the) ) - zwal1(i) = - bw * a*sin( the + tw*sn2th ) - aw*sn2th - enddo - endif -c----------------------------------------------------------------------- -c ishape=5 Dee-shaped wall scaled to the radius and geometric center of the -c plasma. Offset of cw. Other variables as ishape=4. -c----------------------------------------------------------------------- - if ( ishape==5 ) then - wcentr = xmaj + cw*plrad - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - sn2th = sin(2.0*the) - xwal1(i) = xmaj + cw*plrad + - $ plrad*(1.0+a-cw)*cos(the+dw*sin(the)) - zwal1(i) = - bw*plrad*(1.0+a-cw) * sin( the + tw*sn2th ) - - $ aw*plrad*sn2th - enddo - endif -c----------------------------------------------------------------------- -c ishape=6 Conforming shell at distance a*prad. This is best option for a -c close fitting shell since the plasma and shell nodes are aligned. -c----------------------------------------------------------------------- - if ( ishape==6 ) then - wcentr = xmaj - ! force a 10cm center stack or one tenth of the plasma R if it is a super small tokamak - csmin = min(0.1, 1e-1 * minval(xinf(2:mth1))) - do i = 2, mth1 - alph = atan2 ( xinf(i+1)-xinf(i-1), zinf(i-1)-zinf(i+1) ) - xwal1(i) = xinf(i) + a*plrad * cos(alph) - zwal1(i) = zinf(i) + a*plrad * sin(alph) - ! if the wall crosses the R=0 axis, force a thin center stack - if ( xwal1(i)<=csmin ) then - xwal1(i) = csmin - endif - enddo - xwal1(1) = xwal1(mth1) - zwal1(1) = zwal1(mth1) - xwal1(mth2) = xwal1(2) - zwal1(mth2) = zwal1(2) - endif -c----------------------------------------------------------------------- -c ishape=7 Enclosing bean-shaped wall. Consult paper. -c [Physics of Plasmas, 4, June 1997, 2161]. -c----------------------------------------------------------------------- - if ( ishape==7 ) then - cwr = cw * pye / 180.0 - do i = 1, mth2 - the0 = (i-1)*dth - the = the0 - rho = aw * ( 1.0 + bw*cos(the) ) - the2 = cwr * sin(the) - xofsw = xmax + a*plrad - aw*(1.0+bw) - xwal1(i) = xofsw + rho*cos(the2) - zwal1(i) = - b*rho*sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=8 Wall of DIII-D. -c----------------------------------------------------------------------- - if ( ishape==8 ) then - call d3dwall ( xwal1, zwal1, mth, outmod, iotty ) - endif -c----------------------------------------------------------------------- -c ishape=11 Dee-shaped conductor. -c----------------------------------------------------------------------- - if ( ishape==11 ) then - do i = 1, mth2 - the = (i-1) * dth - plrad = 0.5 * ( xmax - xmin ) - xwal1(i) = xmax + plrad*( a + aw - aw*cos(the + dw*sin(the)) ) - zwal1(i) = - plrad * bw * sin(the) - enddo - endif -c----------------------------------------------------------------------- -c ishape=12 Solid bean-shaped conductor on right. -c----------------------------------------------------------------------- - if ( ishape==12 ) then - plrad = 0.5 * ( xmax-xmin ) - xmaj = 0.5 * ( xmax + xmin ) - a0 = plrad * ( 1.0 + aw - cw + a ) - brad = b * pye / 180.0 - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - rho = a0 - aw*plrad*cos(the) - the2 = brad * sin(the) - xwal1(i) = xmaj + cw*plrad + rho * cos(the2) - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=13 Solid bean-shaped conductor on left. -c----------------------------------------------------------------------- - if ( ishape==13 ) then - plrad = 0.5 * ( xmax-xmin ) - xmaj = 0.5 * ( xmax + xmin ) - a0 = plrad * ( 1.0 + aw - cw + a ) - brad = b * pye / 180.0 - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - rho = a0 + aw*plrad*cos(the) - the2 = brad * sin(the) - xwal1(i) = xmaj + cw*plrad - rho * cos(the2) - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=21 Shell scaled to plasma. Gap on the inner side. -c----------------------------------------------------------------------- - if ( ishape==21 ) then - plrad = 0.5 * ( xmax-xmin ) - xmaj = 0.5 * ( xmax + xmin ) - a0 = plrad * ( 1.0 + aw - cw + a ) - a0b = (a0 + plrad*aw)*bw - brad0 = b * pye / 180.0 - brad = brad0 - blgrad0 = bbulg * pye / 180.0 - wcentr = xmaj + cw*plrad - call adjustb ( blgrad0, blgrado, a, bw, cw, dw, xmaj, plrad, - $ ishape ) - dthb = ( 2.0*aw*plrad / a0b ) - $ * ( 1.0 - sin(blgrado) ) / cos(blgrado) - blgrad0 = blgrad0 - dthb - call adjustb ( blgrad0, blgradi, a, bw, cw, dw, xmaj, plrad, - $ ishape ) - do i = 1, mth2 - the0 = (i-1) * dth - if ( the0 .gt. 0.5*pye .and. the0 .lt. 1.5*pye ) then - thbulg = blgrado - else - thbulg = blgradi - endif - cost2b = cos(2*thbulg) - the = the0 - cost = cos(the) - ferm = +1.0 - 2.0 / ( exp(cost/tw) + 1.0 ) - rho = a0 - aw*plrad*ferm - the2 = brad * sin(the) - cost2 = cos(2.0*the2) - fermb = 1.0 / ( exp( (cost2b - cost2)/tbulg ) + 1.0 ) - bulge = abulg*plrad*fermb - xwal1(i) = xmaj + cw*plrad + rho * cos(the2+dw*sin(the2)) - $ + bulge - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=24 Shell scaled to plasma. Gap on the outer side. -c----------------------------------------------------------------------- - if ( ishape==24 ) then - plrad = 0.5 * ( xmax-xmin ) - xmaj = 0.5 * ( xmax + xmin ) - a0 = plrad * ( 1.0 + aw - cw + a ) - brad = b * pye / 180.0 - wcentr = xmaj + cw*plrad - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - cost = cos(the) - ferm = +1.0 - 2.0 / ( exp(cost/tw) + 1.0 ) - rho = a0 + aw*plrad*ferm - the2 = brad * sin(the) - xwal1(i) = xmaj + cw*plrad - rho * cos(the2-dw*sin(the2)) - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=31 Shell independent of plasma. Gap on the inner side. -c----------------------------------------------------------------------- - if ( ishape==31 ) then - a0 = a + aw - a0b = (a0 + aw)*bw - brad0 = b * pye / 180.0 - brad = brad0 - blgrad0 = bbulg * pye / 180.0 - wcentr = cw - call adjustb ( blgrad0, blgrado, a, bw, cw, dw, xmaj, plrad, - $ ishape ) - dthb = ( 2.0*aw / a0b ) - $ * ( 1.0 - sin(blgrado) ) / cos(blgrado) - blgrad0 = blgrad0 - dthb - call adjustb ( blgrad0, blgradi, a, bw, cw, dw, xmaj, plrad, - $ ishape ) - do i = 1, mth2 - the0 = (i-1) * dth - if ( the0 .gt. 0.5*pye .and. the0 .lt. 1.5*pye ) then - thbulg = blgrado - else - thbulg = blgradi - endif - cost2b = cos(2.0*thbulg) - the = the0 - cost = cos(the) - ferm = +1.0 - 2.0 / ( exp(cost/tw) + 1.0 ) - rho = a0 - aw*ferm - the2 = brad * sin(the) - cost2 = cos(2.0*the2) - fermb = 1.0 / ( exp( (cost2b - cost2)/tbulg ) + 1.0 ) - bulge = abulg*fermb - xwal1(i) = cw + rho * cos(the2+dw*sin(the2)) + bulge - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=34 Shell independent of plasma. Gap on the outer side. -c----------------------------------------------------------------------- - if ( ishape==34 ) then - a0 = a + aw - brad = b * pye / 180.0 - wcentr = cw - do i = 1, mth2 - the0 = (i-1) * dth - the = the0 - cost = cos(the) - ferm = +1.0 - 2.0 / ( exp(cost/tw) + 1.0 ) - rho = a0 + aw*ferm - the2 = brad * sin(the) - xwal1(i) = cw - rho * cos(the2-dw*sin(the2)) - zwal1(i) = - bw * rho * sin(the2) - enddo - endif -c----------------------------------------------------------------------- -c ishape=41 Arbitrary wall generated by spline data in wall_geo.in. -c -c npots0 is number of points -c wcentr is radial offset -c thetatmp, xwaltmp, zwaltmp are columns containing angle -c and position of each point for generating splines -c----------------------------------------------------------------------- - if ( ishape==41 ) then - open(unit=41,file="wall_geo.in",status='old', - $ form='FORMATTED') - read(41,*) npots0 - read(41,*) wcentr - read(41,*) -c follow nth=nth0+5 nth0=mth mth2=mth+2 mth1=mth+1=npots0 - npots=npots0+5-1 - allocate (thetatmp(npots),xwaltmp(npots),zwaltmp(npots), - $ rioptmp(2),xpptmp(npots),ww1tmp(npots),ww2tmp(npots), - $ ww3tmp(npots),tabtmp(3)) - do i = 1, npots0 - read (41,*) thetatmp(i),xwaltmp(i),zwaltmp(i) - xwaltmp(i)=xwaltmp(i)-wcentr - enddo - close (41) - rioptmp(1)=4 - rioptmp(2)=4 - call spl1d1(npots0,thetatmp,xwaltmp,xpptmp,rioptmp,1, - $ ww1tmp,ww2tmp,ww3tmp) - do i = 1, mth1 - the0 = (i-1)*dth - call spl1d2(npots0,thetatmp,xwaltmp,xpptmp,1,the0,tabtmp) - xwal1(i)=tabtmp(1)*a+wcentr - enddo - rioptmp(1)=4 - rioptmp(2)=4 - call spl1d1(npots0,thetatmp,zwaltmp,xpptmp,rioptmp,1, - $ ww1tmp,ww2tmp,ww3tmp) - do i = 1, mth1 - the0 = (i-1)*dth - call spl1d2(npots0,thetatmp,zwaltmp,xpptmp,1,the0,tabtmp) - zwal1(i)=tabtmp(1)*a - enddo - xwal1(1)=xwal1(mth1) - zwal1(1)=zwal1(mth1) - xwal1(mth2)=xwal1(2) - zwal1(mth2)=zwal1(2) - deallocate(thetatmp,xwaltmp,zwaltmp,xpptmp,ww1tmp,ww2tmp,ww3tmp, - $ rioptmp,tabtmp) - endif -c----------------------------------------------------------------------- -c ishape=42 Arbitrary wall generated by position data in wall_geo.in. -c Similar to ishape=42, except points are used directly without -c splining. Therefore, thetatmp is read but ignored. -c -c npots0 is number of points and must be equal to mth+2. -c wcentr is radial offset -c thetatmp, xwaltmp, zwaltmp are columns containing angle -c and position of each point in wall -c----------------------------------------------------------------------- - if ( ishape==42 ) then - open(unit=41,file="wall_geo.in",status='old', - $ form='FORMATTED') - read(41,*) npots0 - read(41,*) wcentr - read(41,*) - if( npots0 .ne. mth+2 ) then - write(*,'(A,A)') 'ERROR: Number of points in wall_geo.in', - $ ' must be equal to mth+2.' - stop - endif - allocate (thetatmp(npots0)) - do i = 1, npots0 - read (41,*) thetatmp(i),xwal1(i),zwal1(i) - enddo - close (41) - deallocate(thetatmp) - if( xwal1(mth1).ne.xwal1(1) .or. zwal1(mth1).ne.zwal1(1) ) then - write(*,'(A,A)') 'ERROR: First point in wall_geo.in', - $ ' must be equal to 2nd last point.' - stop - endif - if( xwal1(mth2).ne.xwal1(2) .or. zwal1(mth2).ne.zwal1(2) ) then - write(*,'(A,A)') 'ERROR: Last point in wall_geo.in', - $ ' must be equal to 2nd point.' - stop - endif - endif - - xmx = xma + xshift - -c----------------------------------------------------------------------- -c This section is never called -c----------------------------------------------------------------------- -c if( .false. ) then -c call spl1d1(mth1,thet,xwal1,xpp,iop,1,ww1,ww2,ww3) -c call spl1d1(mth1,thet,zwal1,zpp,iop,1,ww1,ww2,ww3) -c do i=2,mthalf-1 -c xs = xinf(i) -c zs = zinf(i) -c xt = xwal1(i) -c zt = zwal1(i) -c tt = thet(i) -c do k=1,20 -c call spl1d2(mth1,thet,xwal1,xpp,1,tt,tabx) -c call spl1d2(mth1,thet,zwal1,zpp,1,tt,tabz) -c xt = tabx(1) -c zt = tabz(1) -c xmx1 = xs - xt -c zmz1 = zs - zt -c f = xmx1 * tabx(2) + zmz1 * tabz(2) -c fp = xmx1*tabx(3) +zmz1*tabz(3) -(tabx(2))**2 -(tabz(2))**2 -c delt = f / fp -c if(abs(delt).lt.1.0e-4 .and. abs(f) .lt. 1.0e-4) exit -c tt = tt - delt -c if( k==20 ) then -c write(iotty,1430)i,xs,zs,xt,zt,tt,f,fp -c write(outpest,1430)i,xs,zs,xt,zt,tt,f,fp -c call errmes(outpest,'vacdat') -c endif -c enddo -c ww1(i) = xt -c ww2(i) = zt -c enddo -c do i = 2, mthalf - 1 -c iq1 = mth1 - i + 1 -c xwal1(i) = ww1(i) -c xwal1(iq1) = ww1(i) -c zwal1(i) = ww2(i) -c zwal1(iq1) = - ww2(i) -c enddo -c endif - -c----------------------------------------------------------------------- -c Do cleanup -c----------------------------------------------------------------------- - 145 continue - if ( leqarcw .eq. 1 ) then - call eqarcw ( xwal1,zwal1, xpp,zpp, ww1,ww2,ww3, mth1 ) - do i = 1, mth1 - xwal1(i) = xpp(i) - zwal1(i) = zpp(i) - enddo - endif - call savewall(wcentr,xwal1,zwal1) !Write wall shape to disk - if ( iplt .le. 0 ) then - xmx = xmaj - zma = 0.0 - iplt = 1 - endif - if(insect) then - write(iotty,1450)inside - write(outpest,1450)inside - write(outmod,1450)inside - call errmes(outpest,'vacdat') - endif - aw = awsave !restore value of aw that was saved at beginning of function - bw = bwsave !restore value of bw that was saved at beginning of function -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine wwall -c----------------------------------------------------------------------- -c subprogram 7. d3dwall. -c defines the shape of the DIII-D wall. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine d3dwall ( xwall, ywall, mthh, iomod, iotty1 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - integer, parameter :: ncdf=26 - dimension xwall(*), ywall(*), rwi(ncdf), zwi(ncdf) - integer :: nwcoef=ncdf - data rwall0/ 1.6400000_8/, zwall0/ 0.0000000_8/, - $ awall0/ 0.8839410_8/, ewall0/ 1.4037020_8/ - data (rwi(k),k=1,ncdf) - $ / 0.1000000d+01, 0.5526794d-01,-0.1738114d+00, 0.1850757d-01 - $ , 0.3714965d-01,-0.2882647d-01,-0.2357329d-02, 0.9548103d-02 - $ ,-0.1214923d-01,-0.1853416d-02, 0.6837493d-02,-0.1711245d-02 - $ , 0.2270762d-02, 0.3689963d-02,-0.3959393d-02,-0.1098017d-02 - $ , 0.3745465d-02,-0.2157904d-03,-0.3977743d-03,-0.2725623d-03 - $ ,-0.1005857d-02,-0.4579016d-05, 0.2396789d-02,-0.7057043d-03 - $ , 0.1158347d-02, 0.3552319d-03/ - data (zwi(k),k=1,ncdf) - $ / 0.1000000d+01,-0.3236632d-01,-0.1629422d+00, 0.6013983d-01 - $ , 0.1167756d-01,-0.2579542d-01, 0.1626464d-01,-0.2085857d-02 - $ ,-0.9098639d-02, 0.1022163d-01,-0.4388253d-02,-0.9367258d-02 - $ , 0.8308497d-02, 0.4765150d-02,-0.4611675d-02,-0.1121423d-02 - $ ,-0.2501100d-03, 0.4282634d-03, 0.2669702d-02,-0.1073800d-02 - $ ,-0.2191338d-02, 0.1328267d-02, 0.5050959d-03,-0.5758863d-03 - $ , 0.9348883d-03, 0.7094351d-03/ -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - rwll = rwall0 - zwll = zwall0 - awll = awall0*rext - ewll = ewall0 - zstart = zlim - zlim = 0.0 - zstart = 0.0 - nwalp = mthh - rext = 1.0 - awll = awall0*rext - call d3dvesl(rwll,zwll,awll,ewll,rwi,zwi,nwcoef,zstart - $ ,xwall,ywall,nwalp,ier) - write ( iomod, '("ier in d3dwall = ", i3)' ) ier - write ( iotty1, '("ier in d3dwall = ", i3)' ) ier - xwall(mthh+1) = xwall(1) - ywall(mthh+1) = ywall(1) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine d3dwall -c----------------------------------------------------------------------- -c subprogram 8. d3dvesl. -c defines the shape of the DIII-D vacuum vessel. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine d3dvesl(r0,z0,a0,e0,ar,az,nval,zst,r,z,npts,ier) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension ar(nval),az(nval) - dimension r (npts),z (npts) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - pii = 3.1415926535897932385_8 - ier = 0 - if ( abs(z0-zst) .le. 1.0e-6 ) then - else - if(z0 .lt. zst) isgn = +1 - if(z0 .gt. zst) isgn = -1 - zpcmp = (zst-z0)/(a0*e0) - arci = 0.0 - arcf = 0.5*pii - dfi = (arcf-arci)/npts - arca = arci - zza = 0.0 - do 20 j = 2,npts - arcb = arca + isgn*dfi - zzb = 0.0 - do 5 k = 1,nval - ackb = k*arcb - zzb = zzb + az(k)*sin(ackb) - 5 continue - if((zza-zpcmp)*(zzb-zpcmp) .le. 0.0) then - arcc = arcb + isgn*dfi - zzc = 0.0 - do 10 k = 1,nval - ackc = k*arcc - zzc = zzc + az(k)*sin(ackc) - 10 continue - go to 25 - else - arca = arcb - zza = zzb - endif - 20 continue - ier = 1 - return - 25 continue - dzp = zzc - zzb - dzm = zzb - zza - dzt = zzc - zza - dcf1 = dfi*(dzm/dzp + dzp/dzm)/dzt - dcf2 = dfi*(1.0/dzp - 1.0/dzm)/dzt - zdf = zpcmp - zzb - arcst = arcb + dcf1*zdf + dcf2*zdf*zdf - endif - arc0 = arcst - arc1 = arcst + 2.0*pii - darc = (arc1-arc0)/npts - do 100 j = 1,npts - arc = arc0 + (j-1.)*darc - sumr = 0.0 - sumz = 0.0 - do 50 k = 1,nval - arck = k*arc - sumr = sumr + ar(k)*cos(arck) - sumz = sumz + az(k)*sin(arck) - 50 continue - rpval = r0 + a0*sumr - zpval = z0 - e0*a0*sumz - r(j) = rpval - z(j) = zpval - 100 continue -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine d3dvesl -c----------------------------------------------------------------------- -c subprogram 9. eqarcw -c computes equal-arc-length coordinates for wall. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine eqarcw ( xin, zin, xout, zout, ell, thgr, thlag, mw1 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension xin(*), xout(*), zin(*), zout(*), - $ ell(*), thgr(*), thlag(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do iw = 1, mw1 - thlag(iw) = (1.0/(mw1-1))*(iw-1) - enddo - ell(1) = 1.e-8 - do iw = 1, mw1 - if ( iw .ne. 1 ) then - thet = ( thlag(iw)+thlag(iw-1) ) / 2.0 - call lag ( thlag,xin,mw1,3,thet,f,df,1 ) - xtzt = df - call lag ( thlag,zin,mw1,3,thet,f,df,1 ) - xtzt = sqrt ( xtzt**2 + df**2 ) - ell(iw) = ell(iw-1) + xtzt/(mw1-1) - endif - enddo - do i = 1, mw1 - elgr = ( ell(mw1)/(mw1-1) ) * (i-1) - call lag ( ell,thlag,mw1,3,elgr,f,df,0 ) - thgr(i) = f - enddo - do i = 1, mw1 - ttt = thgr(i) - call lag ( thlag,xin,mw1,3,ttt,f,df,0 ) - xout(i) = f - call lag ( thlag,zin,mw1,3,ttt,f,df,0 ) - zout(i) = f - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine eqarcw -c----------------------------------------------------------------------- -c subprogram 10. gatonorm. -c normalize vacuum matrix to GATO. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine gatonorm ( vacin, gatovac_, nd, rgato_,mfel_,mth_, - $ qa1_,twopi_ ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension vacin(nd,nd), gatovac_(nd,nd) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - do m1 = 1, mfel_ - do m2 = 1, mfel_ - gatovac_(m1,m2) = rgato_*vacin(m1,m2) / (twopi_*mfel_) - enddo - enddo - open ( unit=36,file='vacgato' ) - write ( 36, '("VACGATO: rgato_, mfel_,mth_, qa1_ = ",/, - $ 1pe13.5, 2i4, 1pe13.5 / )' ) rgato_, mfel_,mth_, qa1_ - do m1 = 1, mfel_ - write ( 36,'(/, i5 )') m1 - write ( 36,'(10e13.5)') (gatovac_(m1,m2), m2 = 1, mfel_) - enddo - close ( unit=36 ) - return - end subroutine gatonorm -c----------------------------------------------------------------------- -c subprogram 11. adjustb. -c Adjusts for the skewing of the subtending bulge angle due to -c elongation and triangularity. Only good for small angles. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine adjustb(betin,betout,a_,bw_,cw_,dw_,xmaj_,plrad_, - $ ishape_) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - if ( ishape_ .eq. 31 ) then - r0 = cw_ - r = a_ - endif - if ( ishape_ .eq. 21 ) then - r0 = xmaj_ + cw_*plrad_ - r = plrad_ * ( 1.0 + a_ - cw_ ) - endif - bet2 = betin - betout = abs ( atan ( tan(bet2) / bw_ ) ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine adjustb -c----------------------------------------------------------------------- -c subprogram 12. fouran. -c Fourier analysis. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine fouran ( gij, gil, cs, m00,l00 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8), DIMENSION(nths,nths) :: gij - REAL(r8), DIMENSION(nths2,nfm2) :: gil - REAL(r8), DIMENSION(nths,nfm) :: cs -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - do l1 = 1, jmax1 - do i = 1, mth - gil(m00+i,l00+l1) = 0.0 - enddo - enddo - do l1 = 1, jmax1 - ll = l1 - 1 + lmin(1) - do j = 1, mth - do i = 1, mth - gil(m00+i,l00+l1) = gil(m00+i,l00+l1) + - $ cs(j,l1)*gij(i,j) - enddo - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine fouran -c----------------------------------------------------------------------- -c subprogram 13. fouranv. -c inverse Fourier analysis. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine foranv ( gil, gll, cs, m00,l00 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension gil(nths2,nfm2), gll(nfm,nfm), cs(nths,nfm) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - do l1 = 1, jmax1 - do l2 = 1, jmax1 - gll(l1,l2) = 0.0 - enddo - enddo - do l1 = 1, jmax1 - do l2 = 1, jmax1 - do i = 1, mth - gll(l2,l1) = gll(l2,l1) + - $ dth*cs(i,l2)*gil(m00+i,l00+l1)*twopi - enddo - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine foranv -c----------------------------------------------------------------------- -c subprogram 14. foura2. -c more Fourier analysis. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine foura2 ( gij,m01,m02, gil, m00 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8) nq - dimension gij(nths2,nths2), gil(nths,nths) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - q = qa1 - nq = n*q - jmax1 = lmax(1) - lmin(1) + 1 - do l1 = 1, jmax1 - do i = 1, mth - gil(m00+i,l1) = 0.0 - gil(m00+i,jmax1+l1) = 0.0 - enddo - enddo - do l1 = 1, jmax1 - ll = l1 - 1 + lmin(1) - do j = 1, mth - theta = (j-1) * dth - elth = ll * theta - elthnq = elth + nq*delta(j) - sinlth = sin(elthnq) - coslth = cos(elthnq) - do i = 1, mth - gil(m00+i,l1) = gil(m00+i,l1) + coslth*gij(i+m01,j+m02) - gil(m00+i,jmax1+l1) = gil(m00+i,jmax1+l1) - $ + sinlth*gij(i+m01,j+m02) - enddo - enddo - enddo -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - return - end subroutine foura2 -c----------------------------------------------------------------------- -c subprogram 15. fanal. -c yet more Fourier analysis. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine fanal ( fth, nt, flc,fls, l1,l2, pi,ddt ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension fth(*), flc(*), fls(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - dt0 = 1.0 / nt - dt = 2.0 * pi * dt0 - fth(nt+1) = fth(1) - nl = l2 - l1 + 1 - do l = 1, nl - ll = l1 - 1 + l - flc(l) = 0.0 - fls(l) = 0.0 - do i = 1, nt - th = dt*(i-1 + ddt) - flc(l) = flc(l) + fth(i)*cos(ll*th) - fls(l) = fls(l) + fth(i)*sin(ll*th) - enddo - flc(l) = dt0*flc(l) - fls(l) = dt0*fls(l) - enddo -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - return - end subroutine fanal -c----------------------------------------------------------------------- -c subprogram 16. fanal1. -c yet more Fourier analysis. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine fanal1 ( gi,ndi1,ndi2,mi1, gor,goi,ndo1,ndo2 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - REAL(r8) nq - dimension gi(ndi1,ndi2), gor(ndo1,ndo2), goi(ndo1,ndo2) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - q = qa1 - nq = n*q - jmax1 = lmax(1) - lmin(1) + 1 - do l1 = 1, jmax1 - do l2 = 1, jmax1 - gor(l2,l1) = 0.0 - goi(l2,l1) = 0.0 - enddo - enddo - do l1 = 1, jmax1 - do l2 = 1, jmax1 - ll2 = l2 - 1 + lmin(1) - do i = 1, mth - elth = ll2*(i-1)*dth - gor(l1,l2) = gor(l1,l2) - $ + cos(elth) * gi(mi1+i,l1) - $ + sin(elth) * gi(mi1+i,jmax1+l1) - goi(l1,l2) = goi(l1,l2) - $ + cos(elth) * gi(mi1+i,jmax1+l1) - $ - sin(elth) * gi(mi1+i,l1) - enddo - gor(l1,l2) = gor(l1,l2) * dth / twopi - goi(l1,l2) = goi(l1,l2) * dth / twopi - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine fanal1 -c----------------------------------------------------------------------- -c subprogram 17. felang. -c normalize finite elements. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine felang ( gij, gil, cs, m00,l00 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - data izcal / 0 / - REAL(r8) nq - dimension gij(nths,nths), gil(nths2,nfm2), cs(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - izcal = izcal + 1 - nzwrt = 8 - nzwdel = mth / nzwrt - znorm = sqrt( float(mfel) ) - zwt1 = 0.5 * znorm - zwt2 = 1.0 * znorm - zws1 = 1.0 * znorm /3.0 - zws2 = 2.0 * zws1 - zws4 = 2.0 * zws2 - nzdel = ndfel - nzdel1 = nzdel + 1 - q = qa1 - nq = n*q - do l1 = 1, mfel - do i = 1, mth - gil(m00+i,l00+l1) = 0.0 - enddo - enddo - do i = 1, mth - do l1 = 1, mfel - izwrt = 0 - if ( (i .eq. (i/nzwdel * nzwdel + 1)) - $ .and. ( l1 .eq. (l1/8 * 8 +1 )) - $ .and. izcal .eq. 1 ) then - izwrt = 1 - endif - mzl = (l1-1) * nzdel + 1 - mzr = mzl + nzdel - do j = 1, nzdel1 - jth0 = mzl + j - 2 - jth = mod(jth0,mth) - if ( jth .lt. 0 ) jth = mth + jth - jth1 = jth + 1 - if ( nzdel .eq. 1 ) then - gil(m00+i,l00+l1) = gil(m00+i,l00+l1) + - $ zwt1 * gij(i,jth1) * cs(jth1) - else - zwt = zws2 - if ( (j/2)*2 .eq. j ) zwt = zws4 - if ( (j .eq. 1) .or. (j .eq. nzdel1) ) zwt = zws1 - gil(m00+i,l00+l1) = gil(m00+i,l00+l1) + - $ zwt * gij(i,jth1) * cs(jth1) - endif - enddo - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine felang -c----------------------------------------------------------------------- -c subprogram 18. felanv. -c normalize finite elements. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine felanv ( gil, gll, cs, m00,l00 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - data izcal / 0 / - REAL(r8) nq - dimension gil(nths2,nfm2), gll(nfm,nfm), cs(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - izcal = izcal + 1 - znorm = sqrt( float(mfel) ) - zwt1 = 0.5 * dth * znorm - zwt2 = dth * znorm - zws1 = dth * znorm /3.0 - zws2 = 2.0 * zws1 - zws4 = 2.0 * zws2 - nzdel = ndfel - nzdel1 = nzdel + 1 - q = qa1 - nq = n*q - do l1 = 1, mfel - do l2 = 1, mfel - gll(l1,l2) = 0.0 - enddo - enddo - do l2 = 1, mfel - do l1 = 1, mfel - izwrt = 0 - if ((l2 .eq. (l2/8 * 8 + 1)) - $ .and. (l1 .eq. (l1/8 * 8 +1)) - $ .and. (izcal .eq. 1)) then - izwrt = 1 - endif - mzl = (l1-1) * nzdel + 1 - mzr = mzl + nzdel - do j = 1, nzdel1 - jth0 = mzl + j - 2 - jth = mod(jth0,mth) - if ( jth .lt. 0 ) jth = mth + jth - jth1 = jth + 1 - if ( nzdel .eq. 1 ) then - gll(l1,l2) = gll(l1,l2) + - $ zwt1 * gil(m00+jth1,l00+l2) * cs(jth1) * twopi - else - zwt = zws2 - if ( (j/2)*2 .eq. j ) zwt = zws4 - if ( (j .eq. 1) .or. (j .eq. nzdel1) ) zwt = zws1 - if ( jth1 .ne. mth ) then - gll(l1,l2) = gll(l1,l2) + - $ zwt * gil(m00+jth1,l00+l2) * cs(jth1) * twopi - else - gll(l1,l2) = gll(l1,l2) - $ + zwt * gil(m00+1,l00+l2) * cs(jth1) * twopi - endif - endif - enddo - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine felanv -c----------------------------------------------------------------------- -c subprogram 19. fotofi. -c Transforms the Vacuum matrix form Fourier-l space to finite -c elements-i space. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine fotofi ( vin,vout, scnlth, wrk1, wrk2, iopsc ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension vin(nfm,nfm), vout(nfm,nfm), scnlth(nths,nfm), - $ wrk1(nfm,nfm), wrk2(nfm,nfm) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - call tmat ( scnlth, wrk1, iopsc ) - call matmul3 ( wrk1, vin, nfm,nfm, mfel,jmax1,jmax1, wrk2,nfm ) - call mtrans ( wrk1, nfm, nfm ) - call matmul3 ( wrk2, wrk1, nfm,nfm, mfel,jmax1,mfel, vout,nfm ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine fotofi -c----------------------------------------------------------------------- -c subprogram 20. orchek. -c checks for orthogonality of transformation matrix. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine orchek ( wrkr, wrki, wrkrt, wrkit, wrko1,wrko2 ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension wrkr(nfm,nfm), wrki(nfm,nfm), - $ wrkrt(nfm,nfm), wrkit(nfm,nfm), - $ wrko1(nfm,nfm), wrko2(nfm,nfm) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - iopc = 1 - iops = 2 - call tmat ( coslt, wrkrt, iopc ) - call tmat ( sinlt, wrkit, iops ) - - do i = 1, mfel - do m = 1, jmax1 - wrkr(i,m) = wrkrt(i,m) - wrki(i,m) = wrkit(i,m) - end do - end do - call mtrans ( wrkrt, nfm, nfm ) - call mtrans ( wrkit, nfm, nfm ) - call matmul3 ( wrkr,wrkrt, nfm,nfm, mfel,jmax1,mfel, wrko1,nfm ) - call matmul3 ( wrki,wrkit, nfm,nfm, mfel,jmax1,mfel, wrko2,nfm ) - do i = 1, mfel - do j = 1, mfel - wrko1(i,j) = wrko1(i,j) + wrko2(i,j) - end do - end do - call matwrtn ( wrko1,nfm,nfm,1,1,mfel,mfel,8,8, - $ "Real TMAT*trans-TMAT: kk", outmod,iotty ) - call matmul3 ( wrkrt,wrkr, nfm,nfm, jmax1,mfel,jmax1, wrko1,nfm ) - call matmul3 ( wrkit,wrki, nfm,nfm, jmax1,mfel,jmax1, wrko2,nfm ) - do i = 1, jmax1 - do j = 1, jmax1 - wrko1(i,j) = wrko1(i,j) + wrko2(i,j) - end do - end do - call matwrtn ( wrko1,nfm,nfm,1,1,jmax1,jmax1,8,8, - $ "Real TMAT*trans-TMAT: ll", outmod,iotty ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine orchek -c----------------------------------------------------------------------- -c subprogram 21. tmat. -c calculates the matrix for transforming from Fourier to finite -c elements. -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine tmat ( sil, tll, iop ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension sil(nths,nfm), tll(nfm,nfm) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - znorm = sqrt( float(mfel) ) - jmax1 = lmax(1) - lmin(1) + 1 - pi = pye - do i = 1, nfm - do j = 1, nfm - tll(i,j) = 0.0 - end do - end do - if ( iop .eq. 0 ) then - zwt1 = 0.5 * dth * znorm - zwt2 = dth * znorm - zws1 = dth * znorm /3.0 - zws2 = 2.0 * zws1 - zws4 = 2.0 * zws2 - nzdel = ndfel - nzdel1 = nzdel + 1 - do l1 = 1, mfel - mzl = (l1-1) * nzdel + 1 - mzr = mzl + nzdel - do j = 1, nzdel1 - jth0 = mzl + j - 2 - jth = mod(jth0,mth) - if ( jth .lt. 0 ) jth = mth + jth - jth1 = jth + 1 - do l2 = 1, jmax1 - if ( nzdel .eq. 1 ) then - tll(l1,l2) = tll(l1,l2) + zwt1 * sil(jth1,l2) - else - zwt = zws2 - if ( (j/2)*2 .eq. j ) zwt = zws4 - if ( (j .eq. 1) .or. (j .eq. nzdel1) ) zwt = zws1 - tll(l1,l2) = tll(l1,l2) + zwt * sil(jth1,l2) - endif - enddo - enddo - enddo - do mm = 1, mfel - do ll = 1, jmax1 - tll(mm,ll) = tll(mm,ll) / twopi - end do - end do - endif - do ll = 1, jmax1 - la = lmin(1) - 1 + ll - if ( la .ne. 0 ) - $ zslpn = znorm * sin(la*pi/mfel) / ( la * pi ) - do mm = 1, mfel - if ( (iop .eq. 1) .and. (la .ne. 0) ) - $ tll(mm,ll) = cos(la*pi*(2*mm-1)/mfel) * zslpn - if ( (iop .eq. 1) .and. (la .eq. 0) ) - $ tll(mm,ll) = 1.0 / znorm - if ( (iop .eq. 2) .and. (la .ne. 0 ) ) - $ tll(mm,ll) = sin(la*pi*(2*mm-1)/mfel) * zslpn - enddo - enddo -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - end subroutine tmat -c----------------------------------------------------------------------- -c subprogram 22. wtopest. -c conversion to PEST? -c----------------------------------------------------------------------- -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - subroutine wtopest ( vacpstr, vacpsti, xwal_, zwal_ ) - USE vglobal_mod - implicit real(r8) (a-h,o-z) - implicit integer (i-n) - - dimension vacpstr(*), vacpsti(*), xwal_(*), zwal_(*) -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - jmax1 = lmax(1) - lmin(1) + 1 - len = 2*nfm*nfm + 2*mth2 + 10 - ndsk = 1 - write ( iotty, '("Writing to unit iovac: iovac, jmax1, len = ", - $ /, 3i6 )' ) iovac, jmax1, len - write ( outmod, '("writing to unit iovac: iovac, jmax1, len = ", - $ /, 3i6 )' ) iovac, jmax1, len - call zop(iovac,"vacmat",len,ndsk,iiff,999) - lmn = lmin(1) - lmx = lmax(1) - lgivup = 1 - nadres = 1 - call zwr(iovac,real(lmn,r8),1,nadres,lgivup,999) - nadres = nadres + 1 - call zwr(iovac,real(lmx,r8),1,nadres,lgivup,999) - nadres = nadres + 1 - call trans ( xwal_,mth, xjdtxj,mthin ) - call zwr(iovac,xjdtxj(1),mthin2,nadres,lgivup,999) - nadres = nadres + mthin2 - call trans ( zwal_,mth, xjdtxj,mthin ) - call zwr(iovac,xjdtxj(1),mthin2,nadres,lgivup,999) - nadres = nadres + mthin2 - length = jmax1**2 - call zwr(iovac,vacpstr(1),length,nadres,lgivup,999) - nadres = nadres + jmax1**2 - call zwr(iovac,vacpsti(1),length,nadres,lgivup,999) - write ( iotty, '("Wrote to iovac, lmn, lmx, nadres = ", - $ /, 3i6 )' ) lmn, lmx, nadres - write ( outmod, '("Wrote to iovac, lmn, lmx, nadres = ", - $ /, 3i6 )' ) lmn, lmx, nadres - call zcl( iovac, 999 ) -c----------------------------------------------------------------------- -c termination. -c----------------------------------------------------------------------- - return - 999 call errmes ( outpest, 'wtopest' ) - end subroutine wtopest -c----------------------------------------------------------------------- -c subprogram 23. savewall -c After processing the wall, write the coordinates to be used -c to wall_geo.out. -c----------------------------------------------------------------------- - subroutine savewall(wcentr,xwal1,zwal1) -c----------------------------------------------------------------------- -c declarations. -c----------------------------------------------------------------------- - USE vglobal_mod - !implicit none - IMPLICIT REAL(r8) (a-h,o-z) - - real(r8) :: wcentr - dimension xwal1(*), zwal1(*) - INTEGER :: firstpos, i - real(r8) :: thwal0,thwal1 - logical :: retro -c----------------------------------------------------------------------- -c computations. -c----------------------------------------------------------------------- - retro=.false. - - open(unit=41,file="wall_geo.out",status='unknown', - $ form='FORMATTED') - write(41,'(1x,a7,i6)') 'mth2 = ', mth2 - write(41,'(1x,a7,g14.6)') 'ro = ',wcentr - write(41,'(A)') ' theta(rad) R(m) Z(m)' - -c find first point above angle zero (slightly clockwise from R-direction) - thwal0=atan2(-zwal1(mth1),xwal1(mth1)-wcentr) - do i=1,mth1 - thwal1 = atan2(-zwal1(i),xwal1(i)-wcentr) - if(thwal1>0.0 .and. thwal0<0.0) then - firstpos=i - exit - endif - thwal0=thwal1 - enddo - -c first point - i=firstpos-1 - thwal1 = atan2(-zwal1(i),xwal1(i)-wcentr) - write(41,'(3e14.6)') thwal1,xwal1(i),zwal1(i) -c points in clockwise direction at end of array - do i=firstpos,mth - thwal0 = thwal1 - thwal1 = atan2(-zwal1(i),xwal1(i)-wcentr) - if(thwal1<0.0) thwal1=thwal1+twopi - if( thwal1 Date: Sat, 14 Feb 2026 11:19:35 -0500 Subject: [PATCH 2/2] JPEC - IMPROVEMENT - removing openblas from the github workflows --- .github/workflows/copilot-setup-steps.yaml | 5 ----- .github/workflows/make_docs.yaml | 2 -- .github/workflows/test.yaml | 3 --- 3 files changed, 10 deletions(-) diff --git a/.github/workflows/copilot-setup-steps.yaml b/.github/workflows/copilot-setup-steps.yaml index d15b5a4b..a0b53ea5 100644 --- a/.github/workflows/copilot-setup-steps.yaml +++ b/.github/workflows/copilot-setup-steps.yaml @@ -37,11 +37,6 @@ jobs: cache-artifacts: true cache-registries: true - - name: Install system dependencies - run: | - sudo apt-get update - sudo apt-get install -y libopenblas-dev - - name: Build Julia project run: julia --project="." -e "using Pkg; Pkg.build()" diff --git a/.github/workflows/make_docs.yaml b/.github/workflows/make_docs.yaml index faf47c79..d16f794c 100644 --- a/.github/workflows/make_docs.yaml +++ b/.github/workflows/make_docs.yaml @@ -44,8 +44,6 @@ jobs: key: ${{ runner.os }}-julia-${{ hashFiles('**/Project.toml','**/Manifest.toml') }} restore-keys: | ${{ runner.os }}-julia-${{ hashFiles('**/Project.toml','**/Manifest.toml') }} - - name: Install system dependencies - run: sudo apt-get update && sudo apt-get install -y libopenblas-dev - name: Prepare docs environment (develop local package, then instantiate) run: julia --project=docs -e 'using Pkg; Pkg.activate("docs"); Pkg.develop(PackageSpec(path=".")); Pkg.instantiate(update_registry=false)' diff --git a/.github/workflows/test.yaml b/.github/workflows/test.yaml index 60c63f19..a6a6ff36 100644 --- a/.github/workflows/test.yaml +++ b/.github/workflows/test.yaml @@ -26,9 +26,6 @@ jobs: - name: Cache Julia packages uses: julia-actions/cache@v2 - - name: Install system dependencies - run: sudo apt-get update && sudo apt-get install -y libopenblas-dev - - name: Build Julia packages uses: julia-actions/julia-buildpkg@v1