常量部分 constants
====================

``manimlib`` 文件夹中的 ``constants.py`` 定义了在运行manim时需要的常量。
一些常量在这里没有说明，因为他们只在manim内部使用

画面和帧形状
---------------------

.. code-block:: python

    ASPECT_RATIO = 16.0 / 9.0
    FRAME_HEIGHT = 8.0
    FRAME_WIDTH = FRAME_HEIGHT * ASPECT_RATIO
    FRAME_Y_RADIUS = FRAME_HEIGHT / 2
    FRAME_X_RADIUS = FRAME_WIDTH / 2

    DEFAULT_PIXEL_HEIGHT = 1080
    DEFAULT_PIXEL_WIDTH = 1920
    DEFAULT_FRAME_RATE = 30

间距
-----

.. code-block:: python

    SMALL_BUFF = 0.1
    MED_SMALL_BUFF = 0.25
    MED_LARGE_BUFF = 0.5
    LARGE_BUFF = 1  

    DEFAULT_MOBJECT_TO_EDGE_BUFFER = MED_LARGE_BUFF    # Distance between object and edge
    DEFAULT_MOBJECT_TO_MOBJECT_BUFFER = MED_SMALL_BUFF # Distance between objects   

动画默认运行时间
-------------------

.. code-block:: python

    DEFAULT_POINTWISE_FUNCTION_RUN_TIME = 3.0
    DEFAULT_WAIT_TIME = 1.0

坐标
-----------

manim 使用三维坐标，并且用 ``ndarray`` 的类型

.. code-block:: python

    ORIGIN = np.array((0., 0., 0.))
    UP = np.array((0., 1., 0.))
    DOWN = np.array((0., -1., 0.))
    RIGHT = np.array((1., 0., 0.))
    LEFT = np.array((-1., 0., 0.))
    IN = np.array((0., 0., -1.))
    OUT = np.array((0., 0., 1.))
    X_AXIS = np.array((1., 0., 0.))
    Y_AXIS = np.array((0., 1., 0.))
    Z_AXIS = np.array((0., 0., 1.))

    # Useful abbreviations for diagonals
    UL = UP + LEFT
    UR = UP + RIGHT
    DL = DOWN + LEFT
    DR = DOWN + RIGHT

    TOP = FRAME_Y_RADIUS * UP
    BOTTOM = FRAME_Y_RADIUS * DOWN
    LEFT_SIDE = FRAME_X_RADIUS * LEFT
    RIGHT_SIDE = FRAME_X_RADIUS * RIGHT

数学常数
----------

.. code-block:: python

   PI = np.pi
   TAU = 2 * PI
   DEGREES = TAU / 360
   RADIANS = 1  # 以弧度制作为单位

针对 OpenGL
--------------

.. code-block:: python 

    JOINT_TYPE_MAP = {
        "auto": 0,
        "round": 1,
        "bevel": 2,
        "miter": 3,
    }

针对 Text
----------

.. code-block:: python

    NORMAL = "NORMAL"
    ITALIC = "ITALIC"
    OBLIQUE = "OBLIQUE"
    BOLD = "BOLD"

线条宽度
------------

.. code-block:: python

    DEFAULT_STROKE_WIDTH = 4

颜色
-------

颜色相关工具和预览可以使用：`颜色工具 - MK官网 <https://manim.org.cn/tool/color>`_

这里是manim中定义的颜色的预览：(修改自 
`elteoremadebeethoven <https://elteoremadebeethoven.github.io/manim_3feb_docs.github.io/html/_static/colors/colors.html>`_)

.. raw:: html

    <div style="float: left;">
    <h3>BLUE</h3>
    <div class="colors BLUE_E"><p class="color-text">BLUE_E</p></div>
    <div class="colors BLUE_D"><p class="color-text">BLUE_D</p></div>
    <div class="colors BLUE_C"><p class="color-text">BLUE_C</p></div>
    <div class="colors BLUE_B"><p class="color-text">BLUE_B</p></div>
    <div class="colors BLUE_A"><p class="color-text">BLUE_A</p></div>
    </div>
    <div style="float: left;">
    <h3>TEAL</h3>
    <div class="colors TEAL_E"><p class="color-text">TEAL_E</p></div>
    <div class="colors TEAL_D"><p class="color-text">TEAL_D</p></div>
    <div class="colors TEAL_C"><p class="color-text">TEAL_C</p></div>
    <div class="colors TEAL_B"><p class="color-text">TEAL_B</p></div>
    <div class="colors TEAL_A"><p class="color-text">TEAL_A</p></div>
    </div>
    <div style="float: left;">
    <h3>GREEN</h3>
    <div class="colors GREEN_E"><p class="color-text">GREEN_E</p></div>
    <div class="colors GREEN_D"><p class="color-text">GREEN_D</p></div>
    <div class="colors GREEN_C"><p class="color-text">GREEN_C</p></div>
    <div class="colors GREEN_B"><p class="color-text">GREEN_B</p></div>
    <div class="colors GREEN_A"><p class="color-text">GREEN_A</p></div>
    </div>
    <div style="float: left;">
    <h3>YELLOW</h3>
    <div class="colors YELLOW_E"><p class="color-text">YELLOW_E</p></div>
    <div class="colors YELLOW_D"><p class="color-text">YELLOW_D</p></div>
    <div class="colors YELLOW_C"><p class="color-text">YELLOW_C</p></div>
    <div class="colors YELLOW_B"><p class="color-text">YELLOW_B</p></div>
    <div class="colors YELLOW_A"><p class="color-text">YELLOW_A</p></div>
    </div>
    <div style="float: left;">
    <h3>GOLD</h3>
    <div class="colors GOLD_E"><p class="color-text">GOLD_E</p></div>
    <div class="colors GOLD_D"><p class="color-text">GOLD_D</p></div>
    <div class="colors GOLD_C"><p class="color-text">GOLD_C</p></div>
    <div class="colors GOLD_B"><p class="color-text">GOLD_B</p></div>
    <div class="colors GOLD_A"><p class="color-text">GOLD_A</p></div>
    </div>
    <div style="float: left;">
    <h3>RED</h3>
    <div class="colors RED_E"><p class="color-text">RED_E</p></div>
    <div class="colors RED_D"><p class="color-text">RED_D</p></div>
    <div class="colors RED_C"><p class="color-text">RED_C</p></div>
    <div class="colors RED_B"><p class="color-text">RED_B</p></div>
    <div class="colors RED_A"><p class="color-text">RED_A</p></div>
    </div>
    <div style="float: left;">
    <h3>MAROON</h3>
    <div class="colors MAROON_E"><p class="color-text">MAROON_E</p></div>
    <div class="colors MAROON_D"><p class="color-text">MAROON_D</p></div>
    <div class="colors MAROON_C"><p class="color-text">MAROON_C</p></div>
    <div class="colors MAROON_B"><p class="color-text">MAROON_B</p></div>
    <div class="colors MAROON_A"><p class="color-text">MAROON_A</p></div>
    </div>
    <div style="float: left;">
    <h3>PURPLE</h3>
    <div class="colors PURPLE_E"><p class="color-text">PURPLE_E</p></div>
    <div class="colors PURPLE_D"><p class="color-text">PURPLE_D</p></div>
    <div class="colors PURPLE_C"><p class="color-text">PURPLE_C</p></div>
    <div class="colors PURPLE_B"><p class="color-text">PURPLE_B</p></div>
    <div class="colors PURPLE_A"><p class="color-text">PURPLE_A</p></div>
    </div>
    <div style="float: left;">
    <h3>GREY</h3>
    <div class="colors GREY_E"><p class="color-text">GREY_E</p></div>
    <div class="colors GREY_D"><p class="color-text">GREY_D</p></div>
    <div class="colors GREY_C"><p class="color-text">GREY_C</p></div>
    <div class="colors GREY_B"><p class="color-text">GREY_B</p></div>
    <div class="colors GREY_A"><p class="color-text">GREY_A</p></div>
    </div>
    <div style="float: left;">
    <h3>Others</h3>
    <div class="colors WHITE"><p class="color-text" style="color: BLACK">WHITE</p></div>
    <div class="colors BLACK"><p class="color-text">BLACK</p></div>
    <div class="colors GREY_BROWN"><p class="color-text-small">GREY_BROWN</p></div>
    <div class="colors DARK_BROWN"><p class="color-text-small">DARK_BROWN</p></div>
    <div class="colors LIGHT_BROWN"><p class="color-text-small">LIGHT_BROWN</p></div>
    <div class="colors PINK"><p class="color-text">PINK</p></div>
    <div class="colors LIGHT_PINK"><p class="color-text-small">LIGHT_PINK</p></div>
    <div class="colors GREEN_SCREEN"><p class="color-text-small">GREEN_SCREEN</p></div>
    <div class="colors ORANGE"><p class="color-text">ORANGE</p></div>
    </div>