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utils.py
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utils.py
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#!/usr/bin/env python
# -*- coding: utf-8 -*-
# Python 3.11.9
"""
Author: Bernhard Schuberth, LMU Munich, Germany (bernhard.schuberth@lmu.de)
Date: 2019-02-15
Modified: Tom New, The University of Sydney, Australia (tom.new@sydney.edu.au)
Date: 2024-08-12
LLNL_ToFi
Definition of constants.
Original work Copyright (C) 2019 Bernhard Schuberth (bernhard.schuberth@lmu.de)
Modified work Copyright (C) 2024 Tom New (tom.new@sydney.edu.au)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
#-----------------------------------------------------------------------------
import numpy as np
#--------------------------------------------------------------------------
# Define some constants
# Radius of Earth in km for normalization
R_EARTH_KM = 6371.0
# Path to LLNL-GD3-JPS data (relative path) and filenames:
LLNL_PATH = './DATA/'
LLNL_COORD_FILE = 'LLNL_G3D_JPS.Tessellated.Coordinates.txt'
LLNL_DEPTH_FILE = 'LLNL_G3D_JPS.Layer_Depths_min_avg_max.txt'
LLNL_R_FILE_PREFIX = 'R_Matrix_TomoFilter_Layer'
# Number of radial layers in the upper mantle and transition zone
nl_UM_TZ = 18
# Number of grid points in upper mantle and transition zone layers
np_UM_TZ = 40962
# Number of grid points in lower mantle
np_LM = 10242
# total number of entries in model vector
n_m = 1003608
# Output path and filenames
OUTPUT_PATH = './OUTPUT_FILES/'
OUTFILE_FILT_PREFIX = 'LLNL_G3D_JPS_ToFi_layer'
OUTFILE_PARM_PREFIX = 'LLNL_G3D_JPS_Parm_layer'
#--------------------------------------------------------------------------
def read_coords():
# Define filename for coordinates of the LLNL_G3D_JPS parametrization
coord_file=''.join([ LLNL_PATH, LLNL_COORD_FILE])
f = open(coord_file, 'r')
cl = f.readlines()
f.close()
# The coordinate file of LLNL_G3D_JPS provides both geodetic and geocentric latitude
gd_lat = np.arange(len(cl), dtype = 'float64')
gc_lat = np.arange(len(cl), dtype = 'float64')
lon = np.arange(len(cl), dtype = 'float64')
top_radius= np.arange(len(cl), dtype = 'float64')
for i in range(len(cl)):
cline = cl[i].split()
gd_lat[i] = np.float(cline[0])
lon[i] = np.float(cline[1])
gc_lat[i] = np.float(cline[2])
top_radius[i]= np.float(cline[3])
return gd_lat,lon,gc_lat,top_radius
#--------------------------------------------------------------------------
def read_radii():
# Define filename for coordinates of the LLNL_G3D_JPS parametrization
depth_file=''.join([ LLNL_PATH, LLNL_DEPTH_FILE])
f = open(depth_file, 'r')
cl = f.readlines()
f.close()
radii = {}
for i in range(len(cl)):
cline = cl[i].split()
radii[i] = {}
radii[i]["min"] = R_EARTH_KM - np.float(cline[2])
radii[i]["avg"] = R_EARTH_KM - np.float(cline[1])
radii[i]["max"] = R_EARTH_KM - np.float(cline[0])
return radii
#--------------------------------------------------------------------------
def read_radius():
# Define filename for coordinates of the LLNL_G3D_JPS parametrization
depth_file=''.join([ LLNL_PATH, LLNL_DEPTH_FILE])
f = open(depth_file, 'r')
cl = f.readlines()
f.close()
radius = np.arange(len(cl), dtype = float)
for i in range(len(cl)):
cline = cl[i].split()
radius[i] = R_EARTH_KM - np.float(cline[0])
return radius
#--------------------------------------------------------------------------
def read_layer_R(ilyr):
# Open file that contains the entries of R in current layer
R_file_cl = ''.join([ LLNL_PATH, LLNL_R_FILE_PREFIX, '_%d.txt' % (ilyr) ])
f = open(R_file_cl, 'r')
cl = f.readlines()
f.close()
row_i = np.arange(len(cl), dtype = int)
column_j = np.arange(len(cl), dtype = int)
R_ij = np.arange(len(cl), dtype = float)
for i in range(len(cl)):
cline = cl[i].split()
row_i[i] = np.int(cline[0])
column_j[i] = np.int(cline[1])
R_ij[i] = np.float(cline[2])
return row_i,column_j,R_ij
#--------------------------------------------------------------------------
def read_layer(ilyr,radius,PREFIX):
depth = R_EARTH_KM-radius
# Open file that contains the entries of R in current layer
file_cl = ''.join([ OUTPUT_PATH, PREFIX, '_%02d_d%04dkm.txt' % (ilyr,depth) ])
f = open(file_cl, 'r')
cl = f.readlines()
f.close()
lon = np.arange(len(cl), dtype = float)
lat = np.arange(len(cl), dtype = float)
value = np.arange(len(cl), dtype = float)
for i in range(len(cl)):
cline = cl[i].split()
if (i==0 and '#' in cline[0]):
header = cline
else:
lon[i] = np.float(cline[0])
lat[i] = np.float(cline[1])
value[i] = np.float(cline[2])
return lon,lat,value, header
#--------------------------------------------------------------------------
def write_layer(ilyr,m_prime,radius,lon,lat,PREFIX,string=''):
depth = R_EARTH_KM-radius
# Open output file
filt_file_cl = ''.join([ OUTPUT_PATH, PREFIX, '_%02d_d%04dkm.txt' % (ilyr,depth) ])
f = open(filt_file_cl, 'w+')
f.write('# Radius: %8.3f, Depth: %8.3f %s\n' % (radius, depth, string))
for i in range(len(m_prime)):
# Output for gmt (i.e., lon in first column)
f.write(' %8.3f %8.3f %12.7f\n' % (lon[i], lat[i], m_prime[i]))
f.close()
#--------------------------------------------------------------------------
def row_index_offset(ilyr):
if ilyr <= nl_UM_TZ:
offset = (ilyr - 1) * np_UM_TZ
else:
offset = nl_UM_TZ * np_UM_TZ + (ilyr - nl_UM_TZ - 1) * np_LM
return offset
#--------------------------------------------------------------------------
def calculate_coord_index(cj):
ntot_UM_TZ = nl_UM_TZ * np_UM_TZ
if cj <= ntot_UM_TZ:
c_index = np.mod(cj,np_UM_TZ) - 1
l_index = cj//np_UM_TZ
else:
cj_rem = cj - ntot_UM_TZ
c_index = np.mod(cj_rem,np_LM) - 1
l_index = nl_UM_TZ + cj_rem//np_LM
if cj == n_m: # Last entry in model vector
l_index = 43
return c_index, l_index
#--------------------------------------------------------------------------
def get_coordinates(column_j,radius,gc_lat,lon):
# Compute indices for current point
[ c_index, l_index ] = calculate_coord_index(column_j)
# Get current coordinates
clat = gc_lat[c_index]
clon = lon[c_index]
# Set current radius
crad = radius[l_index]
return crad,clat,clon, c_index, l_index
#--------------------------------------------------------------------------
def parallelize(myrank,num_procs,ntot):
n_sub = ntot // num_procs
if myrank == num_procs-1:
my_ib = myrank*n_sub
my_ie = ntot-1
else:
my_ib = myrank*n_sub
my_ie = (myrank+1)*n_sub-1
return n_sub, my_ib, my_ie