def LinearSpline(x, fx): #to determine the coefficients
'''
Valid call:
coeffs = LinearSpline(x, fx)
Inputs:
x : (array) x values at which we have f(x) values.
fx : (array) f(x)values associated with x values.
Output:
coeffs : (array) coefficients of the linear spline.
Assumption:
All inputs are given correctly.
'''
nsegs = len(x)-1
A = np.zeros((2*nsegs, 2*nsegs))
b = np.zeros((2*nsegs, 1))
for i in range(nsegs):
A[2*i, 2*i] = x[i]
A[2*i, 2*i+1] = 1.0
A[2*i+1, 2*i] = x[i+1]
A[2*i+1, 2*i+1] = 1.0
b[2*i] = fx[i]
b[2*i+1] = fx[i+1]
# solve the system
coeffs = la.solve(A, b)
print(A)
print(b)
return coeffs
*I created a linear spline loop...need to also create a qudratic but is having trouble printing the "c" componet for the c coefficient....any help would be greatly appreciated
