#!/usr/bin/env python
#
# Author: Patrick Hung (patrickh @caltech)
# Copyright (c) 1997-2016 California Institute of Technology.
# Copyright (c) 2016-2019 The Uncertainty Quantification Foundation.
# License: 3-clause BSD.  The full license text is available at:
#  - https://github.com/uqfoundation/mystic/blob/master/LICENSE
"""
See test_zimmermann.py.

This one uses Scipy's CG (Polak-Ribiere) plus matlab viz.
"""

import sam
from test_zimmermann import *
from scipy.optimize import fmin_cg
import numpy
from mystic.tools import getch

def draw_contour():
    import numpy

    x, y = numpy.mgrid[-.51:7.5:0.05,-.51:7.5:0.05]
    c = 0*x
    s,t = x.shape
    for i in range(s):
       for j in range(t):
          xx,yy = x[i,j], y[i,j]
          c[i,j] = CostFunction([xx,yy])


    sam.putarray('X',x)
    sam.putarray('Y',y)
    sam.putarray('C',c)

    sam.verbose()    
    sam.eval("[c,h]=contourf(X,Y,log(C*20+1)+2,100);set(h,'EdgeColor','none')")
    sam.eval("title('Zimmermann''s Corner. Min at 7,2')")
    sam.eval('hold on')


def run_once(x0,x1):
    sol = fmin_cg(CostFunction, [x0, x1], retall = True, full_output=1)
    xy = numpy.asarray(sol[-1])
    sam.putarray('xy',xy)
    sam.eval("plot(xy(:,1),xy(:,2),'w-','LineWidth',2)")
    sam.eval("plot(xy(:,1),xy(:,2),'wo','MarkerSize',6)")
    return sol
    
if __name__ == '__main__':
    draw_contour()
    run_once(1,3)
    run_once(4,2)
    run_once(7,0.1)
    run_once(6,4)
    run_once(0,7)

    getch("Press any key to quit")

# end of file
