Accessing simulation results

This is an extended example for the further treatment of simulation results: accessing the results, plotting, cropping, slicing and exporting. This serves as a supporting example to the Accessing simulation results tutorial.

  • The standard Cylinders in DWBA sample is used for running the simulation.
  • The simulation results are retrieved as a Histogram2D object and then processed in various functions to achieve a resulting image.

Intensity images

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#!/usr/bin/env python3
"""
Extended example for simulation results treatment (cropping, slicing, exporting)
"""
import math
import random
import bornagain as ba
from bornagain import angstrom, ba_plot as bp, deg, nm, std_samples
from matplotlib import pyplot as plt


def get_sample():
    return std_samples.cylinders()


def get_simulation(sample):
    """
    Returns a GISAXS simulation with beam and detector defined.
    """
    beam = ba.Beam(1e5, 1*angstrom, 0.2*deg)
    n = bp.simargs['n']
    det = ba.SphericalDetector(n, -2*deg, 2*deg, n, 0, 2*deg)
    simulation = ba.ScatteringSimulation(beam, sample, det)
    return simulation


def get_noisy_image(field):
    """
    Returns clone of input field filled with additional noise
    """
    result = field.clone()
    noise_factor = 2.0
    for i in range(0, result.size()):
        amplitude = field.valAt(i)
        sigma = noise_factor*math.sqrt(amplitude)
        noisy_amplitude = random.gauss(amplitude, sigma)
        result.setAt(i, noisy_amplitude)
    return result


def plot_histogram(field, **kwargs):
    bp.plot_histogram(field,
                      xlabel=r'$\varphi_f ^{\circ}$',
                      ylabel=r'$\alpha_{\rm f} ^{\circ}$',
                      zlabel="",
                      **kwargs)


def plot_slices(field):
    """
    Plot 1D slices along y-axis at certain x-axis values.
    """
    noisy = get_noisy_image(field)

    plt.yscale('log')

    # projection along Y, slice at fixed x-value
    proj1 = noisy.yProjection(0)
    plt.plot(proj1.axis(0).binCenters(),
             proj1.flatVector(),
             label=r'$\varphi=0.0^{\circ}$')

    # projection along Y, slice at fixed x-value
    proj2 = noisy.yProjection(0.5)  # slice at fixed value
    plt.plot(proj2.axis(0).binCenters(),
             proj2.flatVector(),
             label=r'$\varphi=0.5^{\circ}$')

    # projection along Y for all X values between [xlow, xup], averaged
    proj3 = noisy.yProjection(0.41, 0.59)
    plt.plot(proj3.axis(0).binCenters(),
             proj3.flatVector(),
             label=r'$<\varphi>=0.5^{\circ}$')

    plt.xlim(proj1.axis(0).min(), proj1.axis(0).max())
    plt.ylim(proj2.minVal(), proj1.maxVal()*10)
    plt.xlabel(r'$\alpha_{\rm f} ^{\circ}$', fontsize=16)
    plt.legend(loc='upper right')
    plt.tight_layout()


def plot(field):
    """
    Demonstrates modified data plots.
    """
    plt.figure(figsize=(12.80, 10.24))

    print("Subplot 1")
    plt.subplot(2, 2, 1)
    bp.plot_histogram(field)
    plt.title("Intensity as heatmap")

    print("Subplot 2")
    plt.subplot(2, 2, 2)
    crop = field.crop(-1, 0.5, 1, 1)
    bp.plot_histogram(crop)
    plt.title("Cropping")

    print("Subplot 3")
    plt.subplot(2, 2, 3)
    noisy = get_noisy_image(field)
    reldiff = ba.relativeDifferenceField(noisy, field).npArray()
    bp.plot_array(reldiff, intensity_min=1e-03, intensity_max=10)
    plt.title("Relative difference")

    print("Subplot 4")
    plt.subplot(2, 2, 4)
    plot_slices(field)
    plt.title("Various slicing of 2D into 1D")

    print("Layout")
    plt.tight_layout()

if __name__ == '__main__':
    bp.parse_args(sim_n=200)
    sample = get_sample()
    simulation = get_simulation(sample)
    print("Simulate")
    result = simulation.simulate()

    if bp.datfile:
        print("Save results")
        ba.IOFactory.writeSimulationResult(result, bp.datfile + ".int.gz")
        # Other supported extensions are .tif and .txt.
        # Besides compression .gz, we support .bz2, and uncompressed.

    print("Get datafield")
    field = result.datafield()
    print("Plot")
    plot(field)
    bp.show_or_export()
Examples/varia/AccessingSimulationResults.py