From 5d431a9f455e0fb643d74ef282fe2eb393a90a88 Mon Sep 17 00:00:00 2001
From: Paul McCarthy <pauld.mccarthy@gmail.com>
Date: Fri, 7 Apr 2017 17:34:34 +0100
Subject: [PATCH] Nearly 100% coverage for transform module

---
 tests/test_transform.py                       |  143 +-
 .../test_transform_test_axisBounds.txt        | 1183 ++++
 .../testdata/test_transform_test_compose.txt  |   51 +-
 .../test_transform_test_transform_00.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_01.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_02.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_03.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_04.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_05.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_06.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_07.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_08.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_09.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_10.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_11.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_12.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_13.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_14.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_15.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_16.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_17.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_18.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_19.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_20.txt      | 5010 +++++++++++++++++
 .../test_transform_test_transform_coords.txt  | 5001 ++++++++++++++++
 25 files changed, 111581 insertions(+), 7 deletions(-)
 create mode 100644 tests/testdata/test_transform_test_axisBounds.txt
 create mode 100644 tests/testdata/test_transform_test_transform_00.txt
 create mode 100644 tests/testdata/test_transform_test_transform_01.txt
 create mode 100644 tests/testdata/test_transform_test_transform_02.txt
 create mode 100644 tests/testdata/test_transform_test_transform_03.txt
 create mode 100644 tests/testdata/test_transform_test_transform_04.txt
 create mode 100644 tests/testdata/test_transform_test_transform_05.txt
 create mode 100644 tests/testdata/test_transform_test_transform_06.txt
 create mode 100644 tests/testdata/test_transform_test_transform_07.txt
 create mode 100644 tests/testdata/test_transform_test_transform_08.txt
 create mode 100644 tests/testdata/test_transform_test_transform_09.txt
 create mode 100644 tests/testdata/test_transform_test_transform_10.txt
 create mode 100644 tests/testdata/test_transform_test_transform_11.txt
 create mode 100644 tests/testdata/test_transform_test_transform_12.txt
 create mode 100644 tests/testdata/test_transform_test_transform_13.txt
 create mode 100644 tests/testdata/test_transform_test_transform_14.txt
 create mode 100644 tests/testdata/test_transform_test_transform_15.txt
 create mode 100644 tests/testdata/test_transform_test_transform_16.txt
 create mode 100644 tests/testdata/test_transform_test_transform_17.txt
 create mode 100644 tests/testdata/test_transform_test_transform_18.txt
 create mode 100644 tests/testdata/test_transform_test_transform_19.txt
 create mode 100644 tests/testdata/test_transform_test_transform_20.txt
 create mode 100644 tests/testdata/test_transform_test_transform_coords.txt

diff --git a/tests/test_transform.py b/tests/test_transform.py
index 6d1991adb..eb3d5f6ce 100644
--- a/tests/test_transform.py
+++ b/tests/test_transform.py
@@ -5,9 +5,12 @@
 # Author: Paul McCarthy <pauldmccarthy@gmail.com>
 #
 
-import os.path as op
+import              glob
+import os.path   as op
+import itertools as it
+import numpy     as np
 
-import numpy as np
+import pytest
 
 import fsl.utils.transform as transform
 
@@ -108,7 +111,7 @@ def test_compose_and_decompose():
         scales, offsets, rotations = transform.decompose(xform)
         result = transform.compose(scales, offsets, rotations)
 
-        assert np.all(np.isclose(xform, result))
+        assert np.all(np.isclose(xform, result, atol=1e-5))
 
         # The decompose function does not support a
         # different rotation origin, but we test
@@ -117,4 +120,136 @@ def test_compose_and_decompose():
         scales, offsets, rotations = transform.decompose(xform)
         result = transform.compose(scales, offsets, rotations, [0, 0, 0])
 
-        assert np.all(np.isclose(xform, result))
+        assert np.all(np.isclose(xform, result, atol=1e-5))
+
+
+def test_axisBounds():
+    testfile = op.join(datadir, 'test_transform_test_axisBounds.txt')
+    lines    = readlines(testfile)
+    ntests   = len(lines) / 6
+
+    def readTest(testnum):
+        tlines   = lines[testnum * 6: testnum * 6 + 6]
+        params   = [p.strip() for p in tlines[0].split(',')]
+        shape    = [int(s) for s in params[0].split()]
+        origin   = params[1]
+        boundary = None if params[2] == 'None' else params[2]
+        xform    = np.genfromtxt(tlines[1:5])
+        expected = np.genfromtxt([tlines[5]])
+        expected = (expected[:3], expected[3:])
+
+        return shape, origin, boundary, xform, expected
+        
+    allAxes  = list(it.chain(
+        range(0, 1, 2),
+        it.permutations((0, 1, 2), 1),
+        it.permutations((0, 1, 2), 2),
+        it.permutations((0, 1, 2), 3)))
+
+    for i in range(ntests):
+
+        shape, origin, boundary, xform, expected = readTest(i)
+
+        print('Test       {}'.format(i))
+        print('  shape    {}'.format(shape))
+        print('  origin   {}'.format(origin))
+        print('  boundary {}'.format(boundary))
+
+        for axes in allAxes:
+            result = transform.axisBounds(shape,
+                                          xform,
+                                          axes=axes,
+                                          origin=origin,
+                                          boundary=boundary)
+
+            exp = expected[0][(axes,)], expected[1][(axes,)]
+
+            assert np.all(np.isclose(exp, result))
+
+
+    # Do some parameter checks on 
+    # the first test in the file
+    # which has origin == centre
+    for i in range(ntests):
+        shape, origin, boundary, xform, expected = readTest(i)
+        if origin == 'centre':
+            break
+
+    # US-spelling
+    assert np.all(np.isclose(
+        expected,
+        transform.axisBounds(
+            shape, xform, origin='center', boundary=boundary)))
+
+    # Bad origin/boundary values
+    with pytest.raises(ValueError):
+        transform.axisBounds(shape, xform, origin='Blag', boundary=boundary)
+    with pytest.raises(ValueError):
+        transform.axisBounds(shape, xform, origin=origin, boundary='Blufu') 
+
+
+def test_transform():
+
+    def is_orthogonal(xform):
+        """Returns ``True`` if the given xform consists
+        solely of translations and scales.
+        """
+
+        mask = np.array([[1, 0, 0, 1],
+                         [0, 1, 0, 1],
+                         [0, 0, 1, 1],
+                         [0, 0, 0, 1]], dtype=np.bool)
+
+        return np.all((xform != 0) == mask)
+
+    coordfile   = op.join(datadir, 'test_transform_test_transform_coords.txt')
+    testcoords  = np.loadtxt(coordfile)
+
+    testpattern = op.join(datadir, 'test_transform_test_transform_??.txt')
+    testfiles   = glob.glob(testpattern)
+
+    allAxes  = list(it.chain(
+        range(0, 1, 2),
+        it.permutations((0, 1, 2), 1),
+        it.permutations((0, 1, 2), 2),
+        it.permutations((0, 1, 2), 3)))
+    
+    for i, testfile in enumerate(testfiles):
+        
+        lines    = readlines(testfile)
+        xform    = np.genfromtxt(lines[:4])
+        expected = np.genfromtxt(lines[ 4:])
+        result   = transform.transform(testcoords, xform)
+ 
+        assert np.all(np.isclose(expected, result))
+
+        if not is_orthogonal(xform):
+            continue
+            
+        for axes in allAxes:
+            atestcoords = testcoords[:, axes]
+            aexpected   = expected[  :, axes]
+            aresult     = transform.transform(atestcoords, xform, axes=axes)
+
+            assert np.all(np.isclose(aexpected, aresult))
+
+    # Pass in some bad data, expect an error
+    xform     = np.eye(4)
+    badxform  = np.eye(3)
+    badcoords = np.random.randint(1, 10, (10, 4))
+    coords    = badcoords[:, :3]
+
+    with pytest.raises(IndexError):
+        transform.transform(coords, badxform) 
+
+    with pytest.raises(ValueError):
+        transform.transform(badcoords, xform)
+        
+    with pytest.raises(ValueError):
+        transform.transform(badcoords.reshape(5, 2, 4), xform)
+
+    with pytest.raises(ValueError):
+        transform.transform(badcoords.reshape(5, 2, 4), xform, axes=1) 
+
+    with pytest.raises(ValueError):
+        transform.transform(badcoords[:, (1, 2, 3)], xform, axes=[1, 2])
diff --git a/tests/testdata/test_transform_test_axisBounds.txt b/tests/testdata/test_transform_test_axisBounds.txt
new file mode 100644
index 000000000..d2d4488ac
--- /dev/null
+++ b/tests/testdata/test_transform_test_axisBounds.txt
@@ -0,0 +1,1183 @@
+# Test data for test_transform:test_axisBounds.
+#
+# Every six lines corresponds to one test.
+# The first line contains the shape, origin, and boundary parameters,
+# separated with commas.
+# Lines 1-5 contain the affine matrix.
+# Line 6 contains the expected result (xlo, ylo, zlo, xhi, yhi, zhi).
+
+100 100 100, centre, high
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-0.5000000000 -0.5000000000 -0.5000000000  99.4999008179  99.4999008179  99.4999008179
+
+100 100 100, centre, low
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-0.4999000132 -0.4999000132 -0.4999000132  99.5000000000  99.5000000000  99.5000000000
+
+100 100 100, centre, both
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-0.4999000132 -0.4999000132 -0.4999000132  99.4999008179  99.4999008179  99.4999008179
+
+100 100 100, centre, None
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-0.5000000000 -0.5000000000 -0.5000000000  99.5000000000  99.5000000000  99.5000000000
+
+100 100 100, corner, high
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  99.9999008179  99.9999008179  99.9999008179
+
+100 100 100, corner, low
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+ 0.0001000000  0.0001000000  0.0001000000  100.0000000000  100.0000000000  100.0000000000
+
+100 100 100, corner, both
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+ 0.0001000000  0.0001000000  0.0001000000  99.9999008179  99.9999008179  99.9999008179
+
+100 100 100, corner, None
+ 1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
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+
+100 100 100, centre, high
+-1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-99.4999008179 -0.5000000000 -0.5000000000  0.5000000000  99.4999008179  99.4999008179
+
+100 100 100, centre, low
+-1.0000000000  0.0000000000  0.0000000000  0.0000000000
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+ 0.0000000000  0.0000000000  0.0000000000  1.0000000000
+-99.5000000000 -0.4999000132 -0.4999000132  0.4999000132  99.5000000000  99.5000000000
+
+100 100 100, centre, both
+-1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
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+-99.4999008179 -0.4999000132 -0.4999000132  0.4999000132  99.4999008179  99.4999008179
+
+100 100 100, centre, None
+-1.0000000000  0.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  1.0000000000  0.0000000000  0.0000000000
+ 0.0000000000  0.0000000000  1.0000000000  0.0000000000
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+-99.5000000000 -0.5000000000 -0.5000000000  0.5000000000  99.5000000000  99.5000000000
+
+100 100 100, corner, high
+-1.0000000000  0.0000000000  0.0000000000  0.0000000000
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+-100.0000000000  0.0001000000  0.0001000000 -0.0001000000  100.0000000000  100.0000000000
+
+100 100 100, corner, both
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+100 100 100, corner, None
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+-0.2499500066 -1.1997600317 -0.7998400211  49.7500000000  238.8000000000  159.2000000000
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+-292.0288781310 -238.0635452417 -155.4039640820 -50.0243413717  5.5917718795  63.8608228509
+
+100 100 100, corner, None
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+-173.4998931885 -0.5000000000 -0.5000000000  0.5000000000  191.4998931885  191.4998931885
+
+174 192 192, centre, low
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+
+174 192 192, centre, both
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+
+174 192 192, centre, None
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+174 192 192, centre, low
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+
+174 192 192, centre, None
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+174 192 192, corner, high
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+
+174 192 192, corner, low
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+
+174 192 192, corner, both
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+
+174 192 192, corner, None
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+91 109 91, centre, high
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+
+91 109 91, centre, low
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+91 109 91, centre, both
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+91 109 91, centre, None
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+91 109 91, corner, high
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+91 109 91, corner, low
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+91 109 91, corner, None
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+182 218 182, centre, low
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+182 218 182, centre, both
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+182 218 182, centre, None
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+182 218 182, corner, low
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+182 218 182, corner, None
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+364 436 364, centre, None
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+364 436 364, corner, None
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+174 50 192, centre, high
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+174 50 192, centre, both
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+174 50 192, centre, None
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+174 50 192, corner, low
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+174 50 192, corner, None
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+256 256 256, centre, high
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+256 256 256, centre, low
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+256 256 256, centre, both
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+256 256 256, centre, None
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+256 256 256, corner, high
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+256 256 256, corner, low
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+256 256 256, corner, None
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+256 256 256, centre, None
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+256 256 256, corner, None
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+512 640 25, centre, high
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+512 640 25, centre, None
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+464 512 28, corner, None
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diff --git a/tests/testdata/test_transform_test_compose.txt b/tests/testdata/test_transform_test_compose.txt
index 28161a926..e61f31bdd 100644
--- a/tests/testdata/test_transform_test_compose.txt
+++ b/tests/testdata/test_transform_test_compose.txt
@@ -1,4 +1,4 @@
-# Test data for test_transform:test_compose.
+# Test data for test_transform:test_compose_and_decompose.
 #
 # Each test is just an affine transformation matrix.
 # The matrix is decomposed into its components,
@@ -10,7 +10,6 @@
 0.0  0.0  1.0  0.0
 0.0  0.0  0.0  1.0
 
-
 -1.0  0.0  0.0  0.0
 0.0   1.0  0.0  0.0
 0.0   0.0  1.0  0.0
@@ -55,12 +54,58 @@
 -0.0159784155   1.6056689296   1.1880787388 -16.2943532298
 -0.2093817023  -1.640493784    0.9565424959  66.1123321137
  0.0            0.0            0.0            1.0
- 
+
 -1.1974397443   -0.8580717933   -0.3645386503  -50.0240993667
 -0.7458801726    1.1196201539   -0.5710576979 -106.3700007704
  0.7128023509   -0.2699020211   -1.2099478647   -7.4191935569
  0.0             0.0             0.0             1.0
 
+-1.000000  0.000000  -0.000000  0.000000
+0.000000   1.000000  -0.000000  0.000000
+0.000000   0.000000   1.000000  0.000000
+0.000000   0.000000   0.000000  1.000000
+
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+0.000000  1.000000  -0.000000  0.000000
+0.000000  0.000000   1.000000  0.000000
+0.000000  0.000000   0.000000  1.000000
+
+-2.000000  0.000000  -0.000000    90.000000
+ 0.000000  2.000000  -0.000000  -126.000000
+ 0.000000  0.000000   2.000000   -72.000000
+ 0.000000  0.000000   0.000000     1.000000
+
+-1.000000  0.000000  -0.000000    90.000000
+ 0.000000  1.000000  -0.000000  -126.000000
+ 0.000000  0.000000   1.000000   -72.000000
+ 0.000000  0.000000   0.000000     1.000000
+
+-0.500000  0.000000  -0.000000    90.000000
+ 0.000000  0.500000  -0.000000  -126.000000
+ 0.000000  0.000000   0.500000   -72.000000
+ 0.000000  0.000000   0.000000     1.000000
+
+-0.998351  0.172175  -0.001508   88.453751
+ 0.055809  2.891963  -0.260024  -92.767014
+ 0.013469  0.779036   0.965601  -92.031097
+ 0.000000  0.000000   0.000000    1.000000
+
+0.859157  -0.011162  -0.018416  -99.552223
+0.011895   0.858345   0.046943  -83.334167
+0.015283  -0.040551   0.998728  -77.306473
+0.000000   0.000000   0.000000    1.000000
 
+0.499529  -0.028847  -0.020837  -52.412189
+0.018158   0.818889   0.038023  -79.724884
+0.011864  -0.038744   0.819166  -71.899895
+0.000000   0.000000   0.000000    1.000000
 
+-0.374721  0.013086   0.098275    97.767311
+ 0.010162  0.351788  -2.071789  -111.735596
+ 0.010280  0.129224   5.630100   -91.104904
+ 0.000000  0.000000   0.000000     1.000000
 
+-0.388466  -0.008614  -0.667304  102.035919
+ 0.041017  -0.081580  -6.319922   72.090378
+-0.000000   0.381914  -1.365036  -41.159451
+ 0.000000   0.000000   0.000000    1.000000
diff --git a/tests/testdata/test_transform_test_transform_00.txt b/tests/testdata/test_transform_test_transform_00.txt
new file mode 100644
index 000000000..38b9b4eac
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_00.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
+1.0000000000 0.0000000000 0.0000000000 0.0000000000
+0.0000000000 1.0000000000 0.0000000000 0.0000000000
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diff --git a/tests/testdata/test_transform_test_transform_01.txt b/tests/testdata/test_transform_test_transform_01.txt
new file mode 100644
index 000000000..9178a33cf
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_01.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_02.txt b/tests/testdata/test_transform_test_transform_02.txt
new file mode 100644
index 000000000..7fcd7c01d
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_02.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_03.txt b/tests/testdata/test_transform_test_transform_03.txt
new file mode 100644
index 000000000..2c94099b9
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_03.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_04.txt b/tests/testdata/test_transform_test_transform_04.txt
new file mode 100644
index 000000000..d650d3e46
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_04.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_05.txt b/tests/testdata/test_transform_test_transform_05.txt
new file mode 100644
index 000000000..e0da1bf56
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_05.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_06.txt b/tests/testdata/test_transform_test_transform_06.txt
new file mode 100644
index 000000000..a5b18aacf
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_06.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_07.txt b/tests/testdata/test_transform_test_transform_07.txt
new file mode 100644
index 000000000..653a1a06b
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_07.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_08.txt b/tests/testdata/test_transform_test_transform_08.txt
new file mode 100644
index 000000000..4154a663d
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_08.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_09.txt b/tests/testdata/test_transform_test_transform_09.txt
new file mode 100644
index 000000000..829e90b81
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_09.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_10.txt b/tests/testdata/test_transform_test_transform_10.txt
new file mode 100644
index 000000000..257c16e29
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_10.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_11.txt b/tests/testdata/test_transform_test_transform_11.txt
new file mode 100644
index 000000000..6fae08644
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_11.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_12.txt b/tests/testdata/test_transform_test_transform_12.txt
new file mode 100644
index 000000000..d680a675c
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_12.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_13.txt b/tests/testdata/test_transform_test_transform_13.txt
new file mode 100644
index 000000000..6f5ea2e0f
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_13.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_14.txt b/tests/testdata/test_transform_test_transform_14.txt
new file mode 100644
index 000000000..856aca302
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_14.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_15.txt b/tests/testdata/test_transform_test_transform_15.txt
new file mode 100644
index 000000000..554a63cfa
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_15.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_16.txt b/tests/testdata/test_transform_test_transform_16.txt
new file mode 100644
index 000000000..db30678c2
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_16.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_17.txt b/tests/testdata/test_transform_test_transform_17.txt
new file mode 100644
index 000000000..fd1f80975
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_17.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_18.txt b/tests/testdata/test_transform_test_transform_18.txt
new file mode 100644
index 000000000..aedcb2900
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_18.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_19.txt b/tests/testdata/test_transform_test_transform_19.txt
new file mode 100644
index 000000000..feb30fc53
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_19.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_20.txt b/tests/testdata/test_transform_test_transform_20.txt
new file mode 100644
index 000000000..e2c66aca9
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_20.txt
@@ -0,0 +1,5010 @@
+# Test case for the test_transform:test_transform test.
+#
+# The first four lines contain an affine transformation matrix.
+# The remaining lines contain the coordinates from the
+# test_transform_test_transform_coords.txt file,
+# transformed by the affine.
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diff --git a/tests/testdata/test_transform_test_transform_coords.txt b/tests/testdata/test_transform_test_transform_coords.txt
new file mode 100644
index 000000000..1666108b2
--- /dev/null
+++ b/tests/testdata/test_transform_test_transform_coords.txt
@@ -0,0 +1,5001 @@
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GitLab