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	add translate tests
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			@ -1,3 +1,5 @@
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import math
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from helper import unittest, PillowTestCase, hopper
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from PIL import Image
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			@ -144,84 +146,97 @@ class TestImageTransformAffine(PillowTestCase):
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        im = hopper('RGB')
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        return im.crop((10, 20, im.width - 10, im.height - 20))
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    def test_rotate_0_deg(self):
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    def _test_rotate(self, angle, transpose):
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        im = self._test_image()
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        transform_data = [
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            1, 0, 0,
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            0, 1, 0,
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        angle = - math.radians(angle)
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        matrix = [
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            round(math.cos(angle), 15), round(math.sin(angle), 15), 0.0,
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            round(-math.sin(angle), 15), round(math.cos(angle), 15), 0.0
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        ]
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        matrix[2] = (1 - matrix[0] - matrix[1]) * im.width / 2
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        matrix[5] = (1 - matrix[3] - matrix[4]) * im.height / 2
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        if transpose is not None:
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            transposed = im.transpose(transpose)
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        else:
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            transposed = im
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        for resample in [Image.NEAREST, Image.BILINEAR, Image.BICUBIC]:
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            transformed = im.transform(im.size, Image.AFFINE,
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                                       transform_data, resample)
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            self.assert_image_equal(im, transformed)
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            transformed = im.transform(transposed.size, Image.AFFINE,
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                                       matrix, resample)
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            self.assert_image_equal(transposed, transformed)
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    def test_rotate_0_deg(self):
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        self._test_rotate(0, None)
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    def test_rotate_90_deg(self):
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        im = self._test_image()
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        transform_data = [
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            0, -1, im.width,
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            1, 0, 0,
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        ]
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        transposed = im.transpose(Image.ROTATE_90)
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        for resample in [Image.NEAREST, Image.BILINEAR, Image.BICUBIC]:
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            transformed = im.transform(transposed.size, Image.AFFINE,
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                                       transform_data, resample)
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            self.assert_image_equal(transposed, transformed)
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        self._test_rotate(90, Image.ROTATE_90)
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    def test_rotate_180_deg(self):
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        im = self._test_image()
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        transform_data = [
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            -1, 0, im.width,
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            0, -1, im.height,
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        ]
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        transposed = im.transpose(Image.ROTATE_180)
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        for resample in [Image.NEAREST, Image.BILINEAR, Image.BICUBIC]:
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            transformed = im.transform(transposed.size, Image.AFFINE,
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                                       transform_data, resample)
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            self.assert_image_equal(transposed, transformed)
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        self._test_rotate(180, Image.ROTATE_180)
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    def test_rotate_270_deg(self):
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        im = self._test_image()
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        transform_data = [
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            0, 1, 0,
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            -1, 0, im.height,
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        ]
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        transposed = im.transpose(Image.ROTATE_270)
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        for resample in [Image.NEAREST, Image.BILINEAR, Image.BICUBIC]:
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            transformed = im.transform(transposed.size, Image.AFFINE,
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                                       transform_data, resample)
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            self.assert_image_equal(transposed, transformed)
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        self._test_rotate(270, Image.ROTATE_270)
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    def _test_resize_x(self, x):
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    def _test_resize(self, scale):
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        im = self._test_image()
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        transform_data = [
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            1/x, 0, 0,
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            0, 1/x, 0,
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        matrix = [
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            1 / scale, 0, 0,
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            0, 1 / scale, 0,
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        ]
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        size = (int(round(im.width * x)), int(round(im.height * x)))
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        size = int(round(im.width * scale)), int(round(im.height * scale))
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        transformed = im.transform(
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            size, Image.AFFINE, transform_data, Image.NEAREST)
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        transform_data = [
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            x, 0, 0,
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            0, x, 0,
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            size, Image.AFFINE, matrix, Image.NEAREST)
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        matrix = [
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            scale, 0, 0,
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            0, scale, 0,
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        ]
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        transformed = transformed.transform(
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            im.size, Image.AFFINE, transform_data, Image.NEAREST)
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            im.size, Image.AFFINE, matrix, Image.NEAREST)
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        self.assert_image_equal(im, transformed)
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    def test_resize_1_1x(self):
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        self._test_resize_x(1.1)
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        self._test_resize(1.1)
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    def test_resize_1_5x(self):
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        self._test_resize_x(1.5)
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        self._test_resize(1.5)
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    def test_resize_2_0x(self):
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        self._test_resize_x(2.0)
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        self._test_resize(2.0)
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    def test_resize_2_3x(self):
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        self._test_resize_x(2.3)
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        self._test_resize(2.3)
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    def test_resize_2_5x(self):
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        self._test_resize_x(2.5)
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        self._test_resize(2.5)
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    def _test_translate(self, x, y, epsilonscale):
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        im = self._test_image()
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        size_up = int(round(im.width + x)), int(round(im.height + y))
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        matrix_up = [
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            1, 0, -x,
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            0, 1, -y,
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        ]
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        matrix_down = [
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            1, 0, x,
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            0, 1, y,
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        ]
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        for resample, epsilon in [(Image.NEAREST, 0),
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                                  (Image.BILINEAR, 1.5), (Image.BICUBIC, 1)]:
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            transformed = im.transform(
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                size_up, Image.AFFINE, matrix_up, resample)
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            transformed = transformed.transform(
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                im.size, Image.AFFINE, matrix_down, resample)
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            self.assert_image_similar(transformed, im, epsilon * epsilonscale)
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    def test_translate_0_1(self):
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        self._test_translate(.1, 0, 3.7)
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    def test_translate_0_6(self):
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        self._test_translate(.6, 0, 9.1)
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    def test_translate_50(self):
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        self._test_translate(50, 50, 0)
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if __name__ == '__main__':
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