import os
import time
from math import sqrt, sin, cos, pi, exp
from shallow_water_domain_suggestion2 import *
from Numeric import zeros, Float
from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot

print "TEST 1D-SOLUTION I"
L=2000.0
N=200

cell_len=L/N
points=zeros(N+1, Float)
for i in range(N+1):
    points[i]=i*cell_len

domain=Domain(points)
domain.order = 2
domain.set_timestepping_method('rk2')
domain.cfl = 1.0
domain.limiter = "vanleer"

def stage_flat(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        y[i]=4.0
    return y

def elevation_arbitrary(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 0 <= x[i] < 200.0:
            y[i] = -0.01*(x[i]-200) + 4.0
        elif 200.0 <= x[i] < 300.0:
            y[i] = -0.02*(x[i]-200) + 4.0
        elif 300.0 <= x[i] < 400.0:
            y[i] = -0.01*(x[i]-300) + 2.0
        elif 400.0 <= x[i] < 550.0:
            y[i] = (-1/75.0)*(x[i]-400.0) + 2.0
        elif 550.0 <= x[i] < 700.0:
            y[i] = (1/11250)*(x[i]-550)*(x[i]-550)
        elif 700.0 <= x[i] < 800.0:
            y[i] = 0.03*(x[i]-700)
        elif 800.0 <= x[i] < 900.0:
            y[i] = -0.03*(x[i]-800) + 3.0
        elif 900.0 <= x[i] < 1000.0:
            y[i] = 6.0
        elif 1000.0 <= x[i] < 1400.0:
            y[i] = (-1.0/20000)*(x[i]-1000)*(x[i]-1400)
        elif 1400.0 <= x[i] < 1500.0:
            y[i] = 0.0
        elif 1500.0 <= x[i] < 1700.0:
            y[i] = 3.0
        elif 1700.0 <= x[i] < 1800.0:
            y[i] = -0.03*(x[i]-1700) + 3.0
        else:
            y[i] = (3.0/40000)*(x[i]-1800)*(x[i]-1800) + 2.0
    return y

def elevation_arbitrary1(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 0 <= x[i] < 200.0:
            y[i] = -0.01*(x[i]-200) + 5.0
        elif 200.0 <= x[i] < 900.0:
            y[i] = 0.0
        elif 900.0 <= x[i] < 1000.0:    # This is the island
            y[i] = 5.0
        elif 1000.0 <= x[i] < 1800.0:
            y[i] = 0.0
        else:
            y[i] = 0.03*(x[i]-1700) + 3.0
    return y

def elevation_arbitrary2(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 0 <= x[i] < 1000.0:          # This is the island
            y[i] = 5.0
        else:
            y[i] = 0.0
    return y

domain.set_quantity('stage',stage_flat)
domain.set_quantity('elevation',elevation_arbitrary)
domain.set_boundary({'exterior':Reflective_boundary(domain)})
X=domain.vertices.flat
C=domain.centroids.flat

t0=time.time()
yieldstep=finaltime=60.0
while finaltime < 60.2:
    for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime):
        domain.write_time()
        print "t=",t
        print "integral", domain.quantities['height'].get_integral()
        StageQ=domain.quantities['stage'].vertex_values.flat
        MomentumQ=domain.quantities['xmomentum'].vertex_values.flat
        ElevationQ=domain.quantities['elevation'].vertex_values.flat
        VelocityQ=domain.quantities['velocity'].vertex_values.flat

        hold(False)
        plot1 = subplot(311)
        plot(X,StageQ, X,ElevationQ)
        plot1.set_ylim([-1.0,8.0])
        xlabel('Position')
        ylabel('Stage')
        legend( ('Numerical Solution', 'Bed Elevation'), 'upper right', shadow=False)

        plot2 = subplot(312)
        plot(X,MomentumQ)
        #plot2.set_ylim([3.998,4.002])
        legend( ('Numerical Solution', 'for momentum'), 'upper right', shadow=False)
        xlabel('Position')
        ylabel('Xmomentum')

        plot3 = subplot(313)
        plot(X,VelocityQ)
        #plot2.set_ylim([-5.0,30.0])
        legend( ('Numerical Solution', 'for velocity'), 'upper right', shadow=False)
        xlabel('Position')
        ylabel('Velocity')
        
        file = "island_"
        file += str(finaltime)
        file += ".png"
        #savefig(file)
        show()
        
    print 'That took %.2f seconds'%(time.time()-t0)
    finaltime = finaltime + 10.0
raw_input("Press return key")