#!/usr/bin/env python
# coding: utf-8

# In[1]:


import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.mlab as mlab
import numpy as np
import plotly.graph_objects as go

def bivariate_normal(X, Y, sigmax=1.0, sigmay=1.0,
                     mux=0.0, muy=0.0, sigmaxy=0.0):
    """
    Bivariate Gaussian distribution for equal shape *X*, *Y*.
    See `bivariate normal
    <http://mathworld.wolfram.com/BivariateNormalDistribution.html>`_
    at mathworld.
    """
    Xmu = X-mux
    Ymu = Y-muy

    rho = sigmaxy/(sigmax*sigmay)
    z = Xmu**2/sigmax**2 + Ymu**2/sigmay**2 - 2*rho*Xmu*Ymu/(sigmax*sigmay)
    denom = 2*np.pi*sigmax*sigmay*np.sqrt(1-rho**2)
    return np.exp(-z/(2*(1-rho**2))) / denom

def P(X, Y):
    return bivariate_normal(X, Y, 1.0, 1.0, 0.0, 0.0)      


# generating data
x = np.linspace(-2, 2, 60)
y = np.linspace(-2, 2, 60)
X, Y = np.meshgrid(x, y)
Z = P(X, Y)

# plot
fig = go.Figure(data=[go.Surface(z=(0.15-Z))])

fig.update_layout(title='Mt Bruno Elevation', autosize=False,
                  width=500, height=500,
                  margin=dict(l=65, r=50, b=65, t=90))

fig.show()