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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 曲线方程。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > x_func: x函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > y_func: y函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > z_func: z函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > y_func< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > z_func< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "def-call-self-t-var-point3-tuple-point3" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]< / code > < a class = "header-anchor" href = "#def-call-self-t-var-point3-tuple-point3" aria-label = "Permalink to "***def*** `__call__(self, *t: Var) -> Point3 | tuple[Point3, ...]`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算曲线上的点。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > *t:< / li > < li > 参数:< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 目标点< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L24" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __call__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t: Var) -> Point3 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > |< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > tuple[Point3, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > ...< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算曲线上的点。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > *t:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 参数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 目标点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > len< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (t) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 1< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Point3(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]))< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > else< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > tuple< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ([Point3(x, y, z) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > for< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, y, z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > in< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > zip< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func(t), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func(t), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func(t))])< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc< / code > < a class = "header-anchor" href = "#def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label = "Permalink to "***def*** `get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc`"" > < / a > < / h3 > < p > < strong > Description< / strong > : 求N元函数一阶偏导函数。这玩意不太稳定， < / p > < div class = "warning custom-block github-alert" > < p class = "custom-block-title" > WARNING< / p > < p > 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升< / p > < / div > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > func: 函数< / li > < li > var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)< / li > < li > epsilon: 偏移量< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 偏导函数< / p > < p > < strong > Raises< / strong > :< / p > < blockquote > < ul > < li > ValueError 无效变量类型< / li > < / ul > < / blockquote > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > get_partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (func: MultiVarsFunc, var: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > int< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > |< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > tuple[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > int< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > ...< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ], epsilon: Number< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > EPSILON< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> MultiVarsFunc:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 求N元函数一阶偏导函数。这玩意不太稳定， < / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > > [!warning]< / span > < / span >
2024-08-29 18:52:57 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > > 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升< / span > < / span >
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< span class = "line" > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > func: 函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon: 偏移量< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 偏导函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ValueError: 无效变量类型< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (var, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > int< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ):< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
2024-08-29 19:00:41 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " @litedoc-hide" " " < / span > < / span >
2024-08-28 20:35:22 +08:00
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus)) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 2< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > partial_derivative_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > elif< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (var, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > tuple< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ):< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > high_order_partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
2024-08-29 19:00:41 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > @litedoc-hide< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 求高阶偏导函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > *args: 参数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 高阶偏导数值< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-28 20:35:22 +08:00
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > for< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > in< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > var:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > get_partial_derivative_func(result_func, v, epsilon)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > high_order_partial_derivative_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > else< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
2024-08-31 07:55:26 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > raise< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > ValueError< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Invalid var type' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < / div > < / div > < / main > < footer class = "VPDocFooter" data-v-40342069 data-v-a4b38bd6 > <!-- [ --> <!-- ] --> < div class = "edit-info" data-v-a4b38bd6 > <!-- --> < div class = "last-updated" data-v-a4b38bd6 > < p class = "VPLastUpdated" data-v-a4b38bd6 data-v-5cebc0fc > Last updated: < time datetime = "2024-08-29T07:07:35.000Z" data-v-5cebc0fc > < / time > < / p > < / div > < / div > < nav class = "prev-next" aria-labelledby = "doc-footer-aria-label" data-v-a4b38bd6 > < span class = "visually-hidden" id = "doc-footer-aria-label" data-v-a4b38bd6 > Pager< / span > < div class = "pager" data-v-a4b38bd6 > < a class = "VPLink link pager-link prev" href = "/en/api/mp_math/const.html" data-v-a4b38bd6 > <!-- [ --> < span class = "desc" data-v-a4b38bd6 > Prev Page< / span > < span class = "title" data-v-a4b38bd6 > mbcp.mp_math.const< / span > <!-- ] --> < / a > < / div > < div class = "pager" data-v-a4b38bd6 > < a class = "VPLink link pager-link next" href = "/en/api/mp_math/function.html" data-v-a4b38bd6 > <!-- [ --> < span class = "desc" data-v-a4b38bd6 > Next Page< / span > < span class = "title" data-v-a4b38bd6 > mbcp.mp_math.function< / span > <!-- ] --> < / a > < / div > < / nav > < / footer > <!-- [ --> <!-- ] --> < / div > < / div > < / div > <!-- [ --> <!-- ] --> < / div > < / div > < footer class = "VPFooter has-sidebar" data-v-22f859ac data-v-e3ca6860 > < div class = "container" data-v-e3ca6860 > < p class = "message" data-v-e3ca6860 > Documentation built with < a href = "https://vitepress.dev/" > VitePress< / a > | API references generated by < a href = "https://github.com/LiteyukiStudio/litedoc" > litedoc< / a > < / p > < p class = "copyright" data-v-e3ca6860 > Copyright (C) 2020-2024 SnowyKami. All Rights Reserved< / p > < / div > < / footer > <!-- [ --> <!-- ] --> < / div > < / div >
< script > w i n d o w . _ _ V P _ H A S H _ M A P _ _ = J S O N . p a r s e ( " { \ " a p i _ a p i . m d \ " : \ " C M v A M n 4 b \ " , \ " a p i _ i n d e x . m d \ " : \ " B Y C W C W D w \ " , \ " a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " Z H Q L V Z i 6 \ " , \ " a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " D P f W D l O C \ " , \ " a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D N L 3 R h R T \ " , \ " a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " l F d 1 g u d y \ " , \ " a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " C B a W j 2 T G \ " , \ " a p i _ m p _ m a t h _ l i n e . m d \ " : \ " D j f Q - B 5 i \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " C p Q n g d P n \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " u e X w U e 7 x \ " , \ " a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " C X p U 2 f 7 r \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " J b Q s _ F q s \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B k j s i F Z K \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C - G f - q 7 v \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B m e q j m - R \ " , \ " a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " e l M k n 6 t v \ " , \ " a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " j e i n d v 3 k \ " , \ " a p i _ p r e s e t s _ i n d e x . m d \ " : \ " D A n s 7 u V y \ " , \ " a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " B V 3 c g l v I \ " , \ " a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " C k T 5 A 2 V x \ " , \ " a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " D K v f M d j r \ " , \ " d e m o _ i n d e x . m d \ " : \ " C V A d l a F I \ " , \ " e n _ a p i _ a p i . m d \ " : \ " D N V 4 3 N d 2 \ " , \ " e n _ a p i _ i n d e x . m d \ " : \ " r I v J - t I - \ " , \ " e n _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " B W p D h X E 0 \ " , \ " e n _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " C 7 R P r 8 Y w \ " , \ " e n _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " Q 3 e d A l T b \ " , \ " e n _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " s T y Z Q 9 K p \ " , \ " e n _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D R j W G 5 h d \ " , \ " e n _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B e v e A f E c \ " , \ " e n _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " B g 5 e F I M k \ " , \ " e n _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " B y 9 a l 4 4 H \ " , \ " e n _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D S 5 O U S g Q \ " , \ " e n _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " m I U s 1 I A B \ " , \ " e n _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " l 3 K D D W f s \ " , \ " e n _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B r P H v G Z 2 \ " , \ " e n _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B k O b 6 w 9 W \ " , \ " e n _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " L U 1 i J 7 C h \ " , \ " e n _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " B F O r 8 q j E \ " , \ " e n _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B r Q 3 P k 9 2 \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D - C 7 z M 8 U \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " D a W J c W m r \ " , \ " e n _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " O K z O d e y i \ " , \ " e n _ g u i d e _ i n d e x . m d \ " : \ " C 3 k I 8 f 8 A \ " , \ " e n _ i n d e x . m d \ " : \ " D 5 C d d O W - \ " , \ " e n _ r e f e r _ i n d e x . m d \ " : \ " C q 6 G W i 0 V \ " , \ " g u i d e _ i n d e x . m d \ " : \ " B V h Q 0 k P y \ " , \ " i n d e x . m d \ " : \ " D J W B R k U z \ " , \ " j a _ a p i _ a p i . m d \ " : \ " a s J Z C X i e \ " , \ " j a _ a p i _ i n d e x . m d \ " : \ " B k N - p Z - z \ " , \ " j a _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " Q 4 K O k l 4 D \ " , \ " j a _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " q n e r s N f K \ " , \ " j a _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " C r 5 p O v e T \ " , \ " j a _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " x y b s 8 K o c \ " , \ " j a _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " C R j x 8 T k H \ " , \ " j a _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B 0 6 T Z x O j \ " , \ " j a _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " B B R k f U b W \ " , \ " j a _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " B 4 8 J O b 2 8 \ " , \ " j a _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B s I 6 A c c W \ " , \ " j a _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B a R a B 4 F 7 \ " , \ " j a _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " S G T K z H C - \ " , \ " j a _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B 0 A u G U a q \ " , \ " j a _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " Z V 6 g 6 C q y \ " , \ " j a _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " l Q M 7 6 p h s \ " , \ " j a _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " B l Q t 6 - 7 L \ " , \ " j a _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " b R V 3 3 r r M \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " C U 3 t c R O p \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " C a 8 3 7 h 0 t \ " , \ " j a _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " B 4 N I H C 5 7 \ " , \ " j a _ g u i d e _ i n d e x . m d \ " : \ " w 1 T f 2 A d m \ " , \ " j a _ i n d e x . m d \ " : \ " D n s q Z i 7 i \ " , \ " j a _ r e f e r _ i n d e x . m d \ " : \ " D a m U s c s 8 \ " , \ " r e f e r _ f u n c t i o n _ c u r r y . m d \ " : \ " D _ o q R D d 3 \ " , \ " r e f e r _ f u n c t i o n _ f u n c t i o n . m d \ " : \ " B i _ 8 2 l I J \ " , \ " r e f e r _ i n d e x . m d \ " : \ " y F Z W 0 k I 4 \ " , \ " z h t _ a p i _ a p i . m d \ " : \ " D i H U k C Y v \ " , \ " z h t _ a p i _ i n d e x . m d \ " : \ " B E o H S 6 e Y \ " , \ " z h t _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " C U X s 1 f 3 L \ " , \ " z h t _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B R b O g - i k \ " , \ " z h t _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D k F 2 3 w Z v \ " , \ " z h t _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " H x 5 F v 7 y g \ " , \ " z h t _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " d k T u U 5 S c \ " , \ " z h t _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " C h B w W N 5 h \ " , \ " z h t _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " C 2 f K j 2 U - \ " , \ " z h t _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " D R n E B E 4 1 \ " , \ " z h t _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " C s q Z z 8 A P \ " , \ " z h t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " D d P n y 4 E p \ " , \ " z h t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C G l D P y I d \ " , \ " z h t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " q R r y p Z k K \ " , \ " z h t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B g u y f Q 9 I \ " , \ " z h t _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " C 3 u v y f W b \ " , \ " z h t _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " B V p 5 w R X c \ " , \ " z h t _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " D 5 b U O R c 4 \ " , \ " z h t _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " B A B Y o P v x \ " , \ " z h t _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " D 7 U O T u j b \ " , \ " z h t _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " C R L 6 J o 8 B \ " , \ " z h t _ g u i d e _ i n d e x . m d \ " : \ " B N n M V i C 8 \ " , \ " z h t _ i n d e x . m d \ " : \ " C U R 8 - Q X m \ " , \ " z h t _ r e f e r _ i n d e x . m d \ " : \ " B 7 C Q S 2 U W \ " } " ) ; f u n c t i o n d e s e r i a l i z e F u n c t i o n s ( r ) { r e t u r n A r r a y . i s A r r a y ( r )
2024-08-28 20:35:22 +08:00
< / body >
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