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How to draw a contour plot with two 2D array (x,y) and 0D array i.e., an scalar (z)?


How to merge two dictionaries in a single expression?How do you get the logical xor of two variables in Python?How to iterate through two lists in parallel?How do I concatenate two lists in Python?How to change the font size on a matplotlib plotHow to put the legend out of the plotHow to define a two-dimensional array in Pythonpython: how to identify if a variable is an array or a scalarHow to make IPython notebook matplotlib plot inlineHow to draw vertical lines on a given plot in matplotlib?






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1















I'm trying to draw a contour plot using two 2D arrays (both has the shape (6,1) as x and y and my third data (z) is the calculated RMS between the x vector (x list has just 6 items) and y vector (y list has 600 items). RMS value is a scalar for each point. I mean I have one RMS value for each point. when I try to draw a contour plot using x, y, z the following error arises:




TypeError: Input z must be a 2D array




How to solve this problem?



Thanks in advance






import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)












share|improve this question
























  • please show some code

    – David Jones
    Mar 25 at 8:59

















1















I'm trying to draw a contour plot using two 2D arrays (both has the shape (6,1) as x and y and my third data (z) is the calculated RMS between the x vector (x list has just 6 items) and y vector (y list has 600 items). RMS value is a scalar for each point. I mean I have one RMS value for each point. when I try to draw a contour plot using x, y, z the following error arises:




TypeError: Input z must be a 2D array




How to solve this problem?



Thanks in advance






import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)












share|improve this question
























  • please show some code

    – David Jones
    Mar 25 at 8:59













1












1








1








I'm trying to draw a contour plot using two 2D arrays (both has the shape (6,1) as x and y and my third data (z) is the calculated RMS between the x vector (x list has just 6 items) and y vector (y list has 600 items). RMS value is a scalar for each point. I mean I have one RMS value for each point. when I try to draw a contour plot using x, y, z the following error arises:




TypeError: Input z must be a 2D array




How to solve this problem?



Thanks in advance






import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)












share|improve this question
















I'm trying to draw a contour plot using two 2D arrays (both has the shape (6,1) as x and y and my third data (z) is the calculated RMS between the x vector (x list has just 6 items) and y vector (y list has 600 items). RMS value is a scalar for each point. I mean I have one RMS value for each point. when I try to draw a contour plot using x, y, z the following error arises:




TypeError: Input z must be a 2D array




How to solve this problem?



Thanks in advance






import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)








import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)





import numpy
import matplotlib.pyplot as plt
from math import sqrt

def Cumulative_Sensitivity (depth, coil_spacing, coil_position):
global z
global s
z=numpy.array(depth)
s=numpy.array(coil_spacing)
if coil_position == "hcp":
cs=(4*(z/s)**2+1)**(-0.5)
cs=numpy.array(cs)
elif coil_position == "vcp":
cs=(4*(z/s)**2+1) **(0.5)-2*(z/s)
cs=numpy.array(cs)
return cs

def forward_model (sigma, depth, coil_spacing, coil_position):
global cs
global cond_true
global cond_apps
cond_true=numpy.array(sigma)
cond_apps=numpy.zeros(len(coil_spacing))
for i in range (0, len(coil_spacing)):
cs= Cumulative_Sensitivity (depth, coil_spacing[i], coil_position)
cond_app = sum(cond_true[:-1]*(cs[:-1]-cs[1:]))
cond_app = cond_app + cond_true[-1]*(cs[-1])
cond_apps[i] = cond_app
return cond_apps

# s1=30mS/m and s2=50mS/m, z=1m
sa_1=forward_model ([30, 50], [0, 1], [0.32], "hcp")
sa_2=forward_model ([30, 50], [0, 1], [0.71], "hcp")
sa_3=forward_model ([30, 50], [0, 1], [1.18], "hcp")
sa_4=forward_model ([30, 50], [0, 1], [0.32], "vcp")
sa_5=forward_model ([30, 50], [0, 1], [0.71], "vcp")
sa_6=forward_model ([30, 50], [0, 1], [1.18], "vcp")

data=numpy.array([sa_1, sa_2, sa_3, sa_4, sa_5, sa_6])

#
for i in range (10,110, 10):
for j in range (10,110, 10):
cond_HC1=forward_model ([j, i], [0, 1], [0.32], "hcp")
cond_HC2=forward_model ([j, i], [0, 1], [0.71], "hcp")
cond_HC3=forward_model ([j, i], [0, 1], [1.18], "hcp")
cond_VC1=forward_model ([j, i], [0, 1], [0.32], "vcp")
cond_VC2=forward_model ([j, i], [0, 1], [0.71], "vcp")
cond_VC3=forward_model ([j, i], [0, 1], [1.18], "vcp")


predicted=numpy.array([cond_HC1, cond_HC2, cond_HC3, cond_VC1, cond_VC2, cond_VC3])

rms=numpy.array(sqrt(sum((predicted - data)**2).mean()))



x = numpy.linspace(10,100,10)
y = numpy.linspace(10,100,10)
X,Y=numpy.meshgrid(x,y)
Z=rms

contour = plt.contour(X, Y, Z)






python






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 26 at 9:11







Fatima

















asked Mar 25 at 5:47









FatimaFatima

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  • please show some code

    – David Jones
    Mar 25 at 8:59

















  • please show some code

    – David Jones
    Mar 25 at 8:59
















please show some code

– David Jones
Mar 25 at 8:59





please show some code

– David Jones
Mar 25 at 8:59












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