From b71e63a540995540647178a10ec46372940c68cf Mon Sep 17 00:00:00 2001 From: Kolloom Date: Mon, 10 Jun 2019 16:23:49 -0500 Subject: [PATCH 1/5] Add documentation for the coordinate system Update index Add 4 assets, one of which is an image Image uses width 700 Videos uses 700x394 Those dimension are similar to how content is laid out in sphinx --- docs/source/assets/coordinate/CoorAlias.mp4 | Bin 0 -> 1638046 bytes .../assets/coordinate/CoorArithmetic.mp4 | Bin 0 -> 585137 bytes docs/source/assets/coordinate/CoorPolygon.png | Bin 0 -> 22129 bytes docs/source/assets/coordinate/DotMap.mp4 | Bin 0 -> 1773607 bytes docs/source/coordinate.rst | 178 ++++++++++++++++++ docs/source/index.rst | 1 + 6 files changed, 179 insertions(+) create mode 100644 docs/source/assets/coordinate/CoorAlias.mp4 create mode 100644 docs/source/assets/coordinate/CoorArithmetic.mp4 create mode 100644 docs/source/assets/coordinate/CoorPolygon.png create mode 100644 docs/source/assets/coordinate/DotMap.mp4 create 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1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/coordinate.rst b/docs/source/coordinate.rst index cbc27a33..27edb256 100644 --- a/docs/source/coordinate.rst +++ b/docs/source/coordinate.rst @@ -34,7 +34,7 @@ array in the form of [x, y, z]. For 2D animations only the x and y axes are used Using Coordinates ----------------- -Coordinates are used for creating Geometries and animations. +Coordinates are used for creating geometries (`VMobject` in manim) and animations. Here coordinates are used to create this Polygon

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+Coordinate +========== + +The scene in manim is made up by 8 x 14 grid. The grid is addressed using a numpy +array in the form of [x, y, z]. For 2D animations only the x and y axes are used. + +.. code-block:: python + + class DotMap(Scene): + def construct(self): + dots = dict() + annos = dict() + var_index = 0 + for x in range(-7, 8): + for y in range(-4, 5): + annos[f"{x}{y}"] = TexMobject(f"({x}, {y})") + dots[f"{var_index}"] = Dot(np.array([x, y, 0])) + var_index = var_index + 1 + for anno, dot in zip(annos.values(), dots.values()): + self.add(anno) + self.add(dot) + self.wait(0.2) + self.remove(anno) + +.. raw:: html + + + +.. note:: + You can place objects outside this boundary, just that it won't show up in the render. + +Using Coordinates +----------------- + +Coordinates are used for creating Geometries and animations. + +Here coordinates are used to create this Polygon + +.. code-block:: python + + class CoorPolygon(Scene): + def construct(self): + for x in range(-7, 8): + for y in range(-4, 5): + self.add(Dot(np.array([x, y, 0]), color=DARK_GREY)) + polygon = Polygon( + np.array([3, 2, 0]), + np.array([1, -1, 0]), + np.array([-5, -4, 0]), + np.array([-4, 4, 0])) + self.add(polygon) + + +.. Image:: assets/coordinate/CoorPolygon.png + :width: 700px + +Coordinate Aliasing +------------------- + +From some animations typing a ``np.array`` everytime you need a coordinate can be tedious. +Manim provides aliases to the most common coordinates:: + + UP == np.array([0, 1, 0]) + DOWN == np.array([0, -1, 0]) + LEFT == np.array([-1, 0, 0]) + RIGHT == np.array([1, 0, 0]) + UL == np.array([-1, 1, 0]) + DL == np.array([-1, -1, 0]) + UR == np.array([1, 1, 0]) + DR == np.array([1, -1, 0]) + +Here coordinates are used for animations + +.. code-block:: python + + class CoorAlias(Scene): + def construct(self): + for x in range(-7, 8): + for y in range(-4, 5): + self.add(Dot(np.array([x, y, 0]), color=DARK_GREY)) + + aliases = { + "UP": UP, + "np.array([0,1,0])": np.array([0, 1, 0]), + "DOWN": DOWN, + "np.array([0,-1,0])": np.array([0, -1, 0]), + "LEFT": LEFT, + "np.array([-1,0,0])": np.array([-1, 0, 0]), + "RIGHT": RIGHT, + "np.array([1,0,0])": np.array([1, 0, 0]), + "UL": UL, + "np.array([-1,1,0])": np.array([-1, 1, 0]), + "DL": DL, + "np.array([-1,-1,0])": np.array([-1, -1, 0]), + "UR": UR, + "np.array([1,1,0])": np.array([1, 1, 0]), + "DR": DR, + "np.array([1,-1,0])": np.array([1, -1, 0])} + circle = Circle(color=RED, radius=0.5) + self.add(circle) + self.wait(0.5) + + for text, aliase in aliases.items(): + anno = TexMobject(text) + self.play(Write(anno, run_time=0.2)) + self.play(ApplyMethod(circle.shift, aliase)) + self.wait(0.2) + self.play(FadeOut(anno, run_time=0.2)) + +.. raw:: html + + + +Coordinate Arithmetic +--------------------- + +Numpy array allows arithmetic operations:: + + >>> numpy.array([2,2,0]) + 4 + array([6, 6, 4]) + + >>> np.array([1, -3, 0]) + np.array([-4, 2, 0]) + array([-3, -1, 0]) + + >>> np.array([2, 2, 0]) - np.array([3,6, 0]) + array([-1, -4, 0]) + + >>> numpy.array([2,2,0]) - 3 + array([-1, -1, -3]) + + >>> np.array([1, -3, 0]) * 3 + array([ 3, -9, 0]) + + >>> numpy.array([2,2,0]) / 2 + array([1., 1., 0.]) + + >>> numpy.array([2,2,0]) / numpy.array([1, 4, 0]) + __main__:1: RuntimeWarning: invalid value encountered in true_divide + array([2. , 0.5, nan]) + +.. code-block:: python + + class CoorArithmetic(Scene): + def construct(self): + for x in range(-7, 8): + for y in range(-4, 5): + self.add(Dot(np.array([x, y, 0]), color=DARK_GREY)) + + circle = Circle(color=RED, radius=0.5) + self.add(circle) + self.wait(0.5) + + aliases = { + "LEFT * 3": LEFT * 3, + "UP + RIGHT / 2": UP + RIGHT / 2, + "DOWN + LEFT * 2": DOWN + LEFT * 2, + "RIGHT * 3.75 * DOWN": RIGHT * 3.75 * DOWN, + # certain arithmetic won't work as you expected + # In [4]: RIGHT * 3.75 * DOWN + # Out[4]: array([ 0., -0., 0.]) + "RIGHT * 3.75 + DOWN": RIGHT * 3.75 + DOWN} + + for text, aliase in aliases.items(): + anno = TexMobject(text) + self.play(Write(anno, run_time=0.2)) + self.play(ApplyMethod(circle.shift, aliase)) + self.wait(0.2) + self.play(FadeOut(anno, run_time=0.2)) + +.. raw:: html + + diff --git a/docs/source/index.rst b/docs/source/index.rst index 14571325..865bd82c 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -17,6 +17,7 @@ a pull request there. about installation/index getting_started/index + coordinate animation constants From 2a930ff702baab2776383110172fb37b7b353199 Mon Sep 17 00:00:00 2001 From: Kolloom Date: Fri, 14 Jun 2019 23:06:03 -0500 Subject: [PATCH 2/5] Use monospace for asset annotation --- docs/source/coordinate.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/source/coordinate.rst b/docs/source/coordinate.rst index b41c60ef..2053b8dc 100644 --- a/docs/source/coordinate.rst +++ b/docs/source/coordinate.rst @@ -103,7 +103,7 @@ Here coordinates are used for animations self.wait(0.5) for text, aliase in aliases.items(): - anno = TexMobject(text) + anno = TexMobject(f"\\texttt{{{text}}}") self.play(Write(anno, run_time=0.2)) self.play(ApplyMethod(circle.shift, aliase)) self.wait(0.2) @@ -165,7 +165,7 @@ Numpy array allows arithmetic operations:: "RIGHT * 3.75 + DOWN": RIGHT * 3.75 + DOWN} for text, aliase in aliases.items(): - anno = TexMobject(text) + anno = TexMobject(f"\\texttt{{{text}}}") self.play(Write(anno, run_time=0.2)) self.play(ApplyMethod(circle.shift, aliase)) self.wait(0.2) From 542ea688241b3adf7d62c3888d145d4f2999838e Mon Sep 17 00:00:00 2001 From: Kolloom Date: Fri, 14 Jun 2019 23:08:03 -0500 Subject: [PATCH 3/5] Fix wording --- docs/source/coordinate.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/source/coordinate.rst b/docs/source/coordinate.rst index 2053b8dc..cbc27a33 100644 --- a/docs/source/coordinate.rst +++ b/docs/source/coordinate.rst @@ -1,7 +1,7 @@ Coordinate ========== -The scene in manim is made up by 8 x 14 grid. The grid is addressed using a numpy +By default, the scene in manim is made up by 8 x 14 grid. The grid is addressed using a numpy array in the form of [x, y, z]. For 2D animations only the x and y axes are used. .. code-block:: python @@ -29,7 +29,7 @@ array in the form of [x, y, z]. For 2D animations only the x and y axes are used .. note:: - You can place objects outside this boundary, just that it won't show up in the render. + You can place objects outside this boundary, but it won't show up in the render. 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