File: doc_builtinmodels_nistgauss.py

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# <examples/doc_builtinmodels_nistgauss.py>
import matplotlib.pyplot as plt
import numpy as np

from lmfit.models import ExponentialModel, GaussianModel

dat = np.loadtxt('NIST_Gauss2.dat')
x = dat[:, 1]
y = dat[:, 0]

exp_mod = ExponentialModel(prefix='exp_')
pars = exp_mod.guess(y, x=x)

gauss1 = GaussianModel(prefix='g1_')
pars.update(gauss1.make_params(center=dict(value=105, min=75, max=125),
                               sigma=dict(value=15, min=0),
                               amplitude=dict(value=2000, min=0)))

gauss2 = GaussianModel(prefix='g2_')
pars.update(gauss2.make_params(center=dict(value=155, min=125, max=175),
                               sigma=dict(value=15, min=0),
                               amplitude=dict(value=2000, min=0)))

mod = gauss1 + gauss2 + exp_mod

init = mod.eval(pars, x=x)
out = mod.fit(y, pars, x=x)

print(out.fit_report(correl_mode='table'))

fig, axes = plt.subplots(1, 2, figsize=(12.8, 4.8))
axes[0].plot(x, y)
axes[0].plot(x, init, '--', label='initial fit')
axes[0].plot(x, out.best_fit, '-', label='best fit')
axes[0].legend()

comps = out.eval_components(x=x)
axes[1].plot(x, y)
axes[1].plot(x, comps['g1_'], '--', label='Gaussian component 1')
axes[1].plot(x, comps['g2_'], '--', label='Gaussian component 2')
axes[1].plot(x, comps['exp_'], '--', label='Exponential component')
axes[1].legend()

plt.show()
# <end examples/doc_builtinmodels_nistgauss.py>