#Test Name: EarthSlc
import numpy as np
import pickle
from gmtmask import *
from lovenumbers import *
from materials import *
from model import *
from parameterize import *
from paterson import *
from solve import *


# Mesh earth
md = model()

# Load precomputed mesh
with open('../Data/SlcTestMesh.pkl', 'rb') as slc_test_mesh_file:
    md.mesh = pickle.load(slc_test_mesh_file)

# Geometry for the bed, arbitrary thickness of 100
md.geometry.bed = np.zeros((md.mesh.numberofvertices, ))
md.geometry.base = md.geometry.bed
md.geometry.thickness = 100 * np.ones((md.mesh.numberofvertices, ))
md.geometry.surface = md.geometry.bed + md.geometry.thickness

# Solidearth loading #{{{
md.masstransport.spcthickness = np.append(md.geometry.thickness, 0)
md.smb.mass_balance = np.zeros((md.mesh.numberofvertices, ))
# Antarctica
xe = md.mesh.x[md.mesh.elements - 1].sum(axis=1) / 3
ye = md.mesh.y[md.mesh.elements - 1].sum(axis=1) / 3
ze = md.mesh.z[md.mesh.elements - 1].sum(axis=1) / 3
re = pow((pow(xe, 2) + pow(ye, 2) + pow(ze, 2)), 0.5)

late = asind(ze / re)
longe = atan2d(ye, xe)
pos = np.where(late < -80)[0]
md.masstransport.spcthickness[md.mesh.elements[pos, :] - 1] = md.masstransport.spcthickness[md.mesh.elements[pos, :] - 1] - 100
posant = pos
# Greenland
pos = np.where(np.logical_and.reduce((late > 60, late < 90, longe > -75, longe < -15)))[0]
md.masstransport.spcthickness[md.mesh.elements[pos, :] - 1] = md.masstransport.spcthickness[md.mesh.elements[pos, :] - 1] - 100
posgre = pos

# Elastic loading from love numbers
md.solidearth.lovenumbers = lovenumbers('maxdeg', 1000)
#}}}

# Mask #{{{
mask = gmtmask(md.mesh.lat, md.mesh.long)
oceanmask = -1 * np.ones((md.mesh.numberofvertices, 1))
pos = np.where(mask == 0)[0]
oceanmask[pos] = 1

icemask = np.ones((md.mesh.numberofvertices, 1))
# NOTE: Need to be careful here: when addressing with multidimensional array in 
# MATLAB, only first column of values are used as indices
#
icemask[md.mesh.elements[posant][:,0] - 1] = -1
icemask[md.mesh.elements[posgre][:,0] - 1] = -1

md.mask.ice_levelset = icemask
md.mask.ocean_levelset = oceanmask

# Time stepping
md.timestepping.start_time = 0
md.timestepping.time_step = 1
md.timestepping.final_time = 10

# Masstransport
md.basalforcings.groundedice_melting_rate = np.zeros((md.mesh.numberofvertices, ))
md.basalforcings.floatingice_melting_rate = np.zeros((md.mesh.numberofvertices, ))
md.initialization.vx = np.zeros((md.mesh.numberofvertices, ))
md.initialization.vy = np.zeros((md.mesh.numberofvertices, ))
md.initialization.sealevel = np.zeros((md.mesh.numberofvertices, ))
md.initialization.str = 0

# Materials
md.materials = materials('hydro')

# Miscellaneous
md.miscellaneous.name = 'test2005'

# Solution parameters
md.cluster.np = 3
md.solidearth.settings.reltol = np.nan
md.solidearth.settings.abstol = 1e-3
md.solidearth.settings.sealevelloading = 1
md.solidearth.settings.isgrd = 1
md.solidearth.settings.ocean_area_scaling = 0
md.solidearth.settings.grdmodel = 1

md.solidearth.settings.selfattraction = 1
md.solidearth.settings.elastic = 1
md.solidearth.settings.rotation = 1
md.solidearth.settings.viscous = 0

# Physics
md.transient.issmb = 0
md.transient.isstressbalance = 0
md.transient.isthermal = 0
md.transient.ismasstransport = 1
md.transient.isslc = 1
md.solidearth.requested_outputs = ['Sealevel']

dh = md.masstransport.spcthickness
deltathickness = np.zeros((md.mesh.numberofvertices + 1, 10 + 1)) # NOTE: Need to add another row as it is added in loop in MATLAB, which causes a RuntimeError in Python
for i in range(10 + 1):
    deltathickness[0:-1, i] = md.geometry.thickness + dh[0:-1] * i
deltathickness[-1, :] = np.arange(0, 10 + 1, 1)
md.masstransport.spcthickness = deltathickness
# Hack
md.geometry.surface = np.zeros((md.mesh.numberofvertices, 1))
md.geometry.thickness = np.ones((md.mesh.numberofvertices, 1))
md.geometry.base = -np.ones((md.mesh.numberofvertices, 1))
md.geometry.bed = md.geometry.base

# Run transient solution
md = solve(md, 'Transient')

S1 = md.results.TransientSolution[1 - 1].Sealevel
S5 = md.results.TransientSolution[5 - 1].Sealevel
S10 = md.results.TransientSolution[10 - 1].Sealevel
Seus10 = md.results.TransientSolution[10 - 1].Bslc

# Fields and tolerances to track changes
field_names = ['Sealevel1', 'Sealevel5', 'Sealevel10', 'Seustatic10']
field_tolerances = [1e-13, 1e-13, 1e-13, 1e-13]
field_values = [S1, S5, S10, Seus10]
