#!/usr/bin/env python
""" Make graphics and example image for coordinate tutorial

Expects MNI nonlinear template t1 and t2 images in directory of script -
specifically these files:

* mni_icbm152_t1_tal_nlin_asym_09a.nii
* mni_icbm152_t2_tal_nlin_asym_09a.nii

Requires nipy and matplotlib.

Executing this script generates the following files in the current directory:

* localizer.png (pretend localizer sagittal image)
* someones_epi.nii.gz (pretend single EPI volume)
* someones_anatomy.nii.gz (pretend single subject structural)
"""
from __future__ import division, print_function

import math

import numpy as np
import numpy.linalg as npl

import nibabel.eulerangles as euler

import nipy
import nipy.core.api as nca
import nipy.algorithms.resample as rsm
import matplotlib.pyplot as plt

T1_IMG = 'mni_icbm152_t1_tal_nlin_asym_09a.nii'
T2_IMG = 'mni_icbm152_t2_tal_nlin_asym_09a.nii'

imgs = []
for img_fname in (T1_IMG, T2_IMG):
    img = nipy.load_image(img_fname)
    # Set affine as for FOV, not AC
    RZS = img.affine[:3, :3]
    vox_fov_center = -(np.array(img.shape) - 1) / 2.
    T = RZS.dot(vox_fov_center)
    img.affine[:3, 3] = T
    # Take stuff off the top of the full image, to emphasize FOV
    img_z_shave = 10
    # Take stuff off left and right to save disk space
    img_x_shave = 20
    img = img[img_x_shave:-img_x_shave, :, :-img_z_shave]
    imgs.append(img)

t1_img, t2_img = imgs

# Make fake localizer
data = t1_img.get_data()
n_x, n_y, n_z = img.shape
mid_x = round(n_x / 2)

sagittal = data[mid_x, :, :].T

# EPI bounding box
# 3 points on a not-completely-rectangular box. The box is to give a by-eye
# estimate, then we work out the box side lengths and make a rectangular box
# from those, using the origin point
epi_bl = np.array((20, 15)) * 2
epi_br = np.array((92, 70)) * 2
epi_tl = np.array((7, 63)) * 2
# Find lengths of sides
epi_y_len = np.sqrt((np.subtract(epi_bl, epi_tl)**2).sum())
epi_x_len = np.sqrt((np.subtract(epi_bl, epi_br)**2).sum())
x, y = 0, 1
# Make a rectangular box with these sides

def make_ortho_box(bl, x_len, y_len):
    """ Make a box with sides parallel to the axes
    """
    return np.array((bl,
                     [bl[x] + x_len, bl[y]],
                     [bl[x], bl[y] + y_len],
                     [bl[x] + x_len, bl[y] + y_len]))

orth_epi_box = make_ortho_box(epi_bl, epi_x_len, epi_y_len)

# Structural bounding box
anat_bl = (25, 3)
anat_x_len = 185
anat_y_len = 155
anat_box = make_ortho_box(anat_bl, anat_x_len, anat_y_len)


def plot_line(pt1, pt2, fmt='r-', label=None):
    plt.plot([pt1[0], pt2[0]], [pt1[1], pt2[1]], fmt,
             label=label)


def plot_box(box_def, fmt='r-', label=None):
    bl, br, tl, tr = box_def
    plot_line(bl, br, fmt, label=label)
    plot_line(bl, tl, fmt)
    plot_line(br, tr, fmt)
    plot_line(tl, tr, fmt)


def rotate_box(box_def, angle, origin):
    origin = np.atleast_2d(origin)
    box_def_zeroed = box_def - origin
    cost = math.cos(angle)
    sint = math.sin(angle)
    rot_array = np.array([[cost, -sint],
                          [sint, cost]])
    box_def_zeroed = np.dot(rot_array, box_def_zeroed.T).T
    return box_def_zeroed + origin


def labeled_point(pt, marker, text, markersize=10, color='k'):
    plt.plot(pt[0], pt[1], marker, markersize=markersize)
    plt.text(pt[0] + markersize / 2,
             pt[1] - markersize / 2,
             text,
             color=color)


def plot_localizer():
    plt.imshow(sagittal, cmap="gray", origin='lower', extent=sag_extents)
    plt.xlabel('mm from isocenter')
    plt.ylabel('mm from isocenter')


def save_plot():
    # Plot using global variables
    plot_localizer()
    def vx2mm(pts):
        return pts - iso_center
    plot_box(vx2mm(rot_box), label='EPI bounding box')
    plot_box(vx2mm(anat_box), 'b-', label='Structural bounding box')
    labeled_point(vx2mm(epi_center), 'ro', 'EPI FOV center')
    labeled_point(vx2mm(anat_center), 'bo', 'Structural FOV center')
    labeled_point(vx2mm(iso_center), 'g^', 'Magnet isocenter')
    plt.axis('tight')
    plt.legend(loc='lower right')
    plt.title('Scanner localizer image')
    plt.savefig('localizer.png')


angle = 0.3
rot_box = rotate_box(orth_epi_box, angle, orth_epi_box[0])
epi_center = np.mean(rot_box, axis=0)
anat_center = np.mean(anat_box, axis=0)
# y axis on the plot is first axis of image
sag_y, sag_x = sagittal.shape
iso_center = (np.array([sag_x, sag_y]) - 1) / 2.
sag_extents = [-iso_center[0], iso_center[0], -iso_center[1], iso_center[1]]

# Back to image coordinates
br_img = np.array([0, rot_box[0, 0], rot_box[0, 1]])
epi_trans = np.eye(4)
epi_trans[:3, 3] = -br_img
rot = np.eye(4)
rot[:3, :3] = euler.euler2mat(0, 0, -angle)
# downsample to make smaller output image
downsamp = 1/3
epi_scale = np.diag([downsamp, downsamp, downsamp, 1])
# template voxels to epi box image voxels
vox2epi_vox = epi_scale.dot(rot.dot(epi_trans))
# epi image voxels to mm
epi_vox2mm = t2_img.affine.dot(npl.inv(vox2epi_vox))
# downsampled image shape
epi_vox_shape = np.array([data.shape[0], epi_x_len, epi_y_len]) * downsamp
# Make sure dimensions are odd by rounding up or down
# This makes the voxel center an integer index, which is convenient
epi_vox_shape = [np.floor(d) if np.floor(d) % 2 else np.ceil(d)
                 for d in epi_vox_shape]
# resample, preserving affine
epi_cmap = nca.vox2mni(epi_vox2mm)
epi = rsm.resample(t2_img, epi_cmap, np.eye(4), epi_vox_shape)
epi_data = epi.get_data()
# Do the same kind of thing for the anatomical scan
anat_vox_sizes = [2.75, 2.75, 2.75]
anat_scale = npl.inv(np.diag(anat_vox_sizes + [1]))
anat_trans = np.eye(4)
anat_trans[:3, 3] = -np.array([0, anat_box[0, 0], anat_box[0, 1]])
vox2anat_vox = anat_scale.dot(anat_trans)
anat_vox2mm = t1_img.affine.dot(npl.inv(vox2anat_vox))
anat_vox_shape = np.round(np.divide(
        [data.shape[0], anat_x_len, anat_y_len], anat_vox_sizes))
anat_cmap = nca.vox2mni(anat_vox2mm)
anat = rsm.resample(t1_img, anat_cmap, np.eye(4), anat_vox_shape)
anat_data = anat.get_data()

save_plot()
nipy.save_image(epi, 'someones_epi.nii.gz', dtype_from='uint8')
nipy.save_image(anat, 'someones_anatomy.nii.gz', dtype_from='uint8')

# Do progressive transforms
epi2_vox = make_ortho_box((0, 0), epi_vox_shape[1], epi_vox_shape[2])
epi_vox_sizes = np.sqrt(np.sum(epi_vox2mm[:3, :3] ** 2, axis=0))
epi2_scaled = np.diag(epi_vox_sizes[1:]).dot(epi2_vox.T).T
epi2_rotted = rotate_box(epi2_scaled, angle, (0, 0))
epi2_pulled = epi2_rotted + epi_vox2mm[1:3, 3]
plt.figure()
plot_localizer()
plot_box(epi2_vox, 'k', label='voxels')
plot_box(epi2_scaled, 'g', label='scaled')
plot_box(epi2_rotted, 'y', label='scaled, rotated')
plot_box(epi2_pulled, 'r', label='scaled, rotated, translated')
plt.legend(loc='upper left')
plt.title('Anatomy of an affine transform')
plt.savefig('illustrating_affine.png')
