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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;" > 三维空间中的直线。由一个点和一个方向向量确定。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 直线上的一点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > direction ([`Vector3`](./vector#class-vector3)): 方向向量< / 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:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > point< / 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;" > .direction < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > direction< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-approx-self-other-line3-epsilon-float-approx-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > approx(self, other: Line3, epsilon: float = APPROX) -> bool< / code > < a class = "header-anchor" href = "#method-approx-self-other-line3-epsilon-float-approx-bool" aria-label = "Permalink to "***method*** `approx(self, other: Line3, epsilon: float = APPROX) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否近似相等。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < li > epsilon (< a href = "https://docs.python.org/3/library/functions.html#float" target = "_blank" rel = "noreferrer" > < code > float< / code > < / a > ): 误差< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否近似相等< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target = "_blank" > 在GitHub上查看< / 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;" > approx< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , epsilon: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > float< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > APPROX< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / 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;" > 判断两条直线是否近似相等。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon ([`float`](https://docs.python.org/3/library/functions.html#float)): 误差< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_approx_parallel(other, epsilon) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / 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;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point).is_approx_parallel(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction, epsilon)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-angle-self-other-line3-anyangle" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_angle(self, other: Line3) -> AnyAngle< / code > < a class = "header-anchor" href = "#method-cal-angle-self-other-line3-anyangle" aria-label = "Permalink to "***method*** `cal_angle(self, other: Line3) -> AnyAngle`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算直线和直线之间的夹角。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./angle.html#class-anyangle" > < code > AnyAngle< / code > < / a > : 夹角< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target = "_blank" > 在GitHub上查看< / 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;" > cal_angle< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' AnyAngle' < / 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;" > 计算直线和直线之间的夹角。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`AnyAngle`](./angle#class-anyangle): 夹角< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cal_angle(other.direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-distance-self-other-line3-point3-float" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_distance(self, other: Line3 | Point3) -> float< / code > < a class = "header-anchor" href = "#method-cal-distance-self-other-line3-point3-float" aria-label = "Permalink to "***method*** `cal_distance(self, other: Line3 | Point3) -> float`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算直线和直线或点之间的距离。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > | < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 另一条直线或点< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#float" target = "_blank" rel = "noreferrer" > < code > float< / code > < / a > : 距离< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#TypeError" target = "_blank" rel = "noreferrer" > < code > TypeError< / code > < / a > 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L50" target = "_blank" > 在GitHub上查看< / 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;" > cal_distance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3 | Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > float< / 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;" > 计算直线和直线或点之间的距离。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3) | [`Point3`](./point#class-point3)): 另一条直线或点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`float`](https%3A//docs.python.org/3/library/functions.html#float): 距离< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`TypeError`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型< / 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:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other, Line3):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > elif< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_parallel(other):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other.point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point).cross(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction).length < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.length< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > elif< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > not< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_coplanar(other):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > abs< / 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;" > .direction.cross(other.direction) < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cross(other.direction).length)< / 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 >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / 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;" > (other, Point3):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point).cross(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction).length < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.length< / 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;" > raise< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > TypeError< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Unsupported type.' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-intersection-self-other-line3-point3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_intersection(self, other: Line3) -> Point3< / code > < a class = "header-anchor" href = "#method-cal-intersection-self-other-line3-point3" aria-label = "Permalink to "***method*** `cal_intersection(self, other: Line3) -> Point3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算两条直线的交点。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > : 交点< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#TypeError" target = "_blank" rel = "noreferrer" > < code > ValueError< / code > < / a > 直线平行< / li > < li > < code > ValueError< / code > 直线不共面< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L80" target = "_blank" > 在GitHub上查看< / 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;" > cal_intersection< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / 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;" > 计算两条直线的交点。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Point3`](./point#class-point3): 交点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`ValueError`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 直线平行< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > `ValueError`: 直线不共面< / 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:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_parallel(other):< / span > < / span >
< 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;" > ' Lines are parallel and do not intersect.' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > not< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_coplanar(other):< / span > < / span >
< 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;" > ' Lines are not coplanar and do not intersect.' < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cross(other.direction) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > @< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction.cross(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cross(other.direction).length < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > **< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 2< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-perpendicular-self-point-point3-line3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_perpendicular(self, point: Point3) -> Line3< / code > < a class = "header-anchor" href = "#method-cal-perpendicular-self-point-point3-line3" aria-label = "Permalink to "***method*** `cal_perpendicular(self, point: Point3) -> Line3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算直线经过指定点p的垂线。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > point (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 指定点< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./line.html#class-line3" > < code > Line3< / code > < / a > : 垂线< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L98" target = "_blank" > 在GitHub上查看< / 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;" > cal_perpendicular< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, point: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / 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;" > 计算直线经过指定点p的垂线。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 指定点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Line3`](./line#class-line3): 垂线< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Line3(point, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cross(point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point))< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-get-point-self-t-realnumber-point3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > get_point(self, t: RealNumber) -> Point3< / code > < a class = "header-anchor" href = "#method-get-point-self-t-realnumber-point3" aria-label = "Permalink to "***method*** `get_point(self, t: RealNumber) -> Point3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 获取直线上的点。同一条直线， ， < / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > t (< a href = "./mp_math_typing.html#var-realnumber" > < code > RealNumber< / code > < / a > ): 参数t< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > : 点< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L108" target = "_blank" > 在GitHub上查看< / 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_point< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, t: RealNumber) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / 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;" > 获取直线上的点。同一条直线， ， < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > t ([`RealNumber`](./mp_math_typing#var-realnumber)): 参数t< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Point3`](./point#class-point3): 点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +< / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]< / code > < a class = "header-anchor" href = "#method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label = "Permalink to "***method*** `get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 获取直线的参数方程。< / p > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/stdtypes.html#tuple" target = "_blank" rel = "noreferrer" > < code > tuple< / code > < / a > [< a href = "./mp_math_typing.html#var-onesinglevarfunc" > < code > OneSingleVarFunc< / code > < / a > , < code > OneSingleVarFunc< / code > , < code > OneSingleVarFunc< / code > ]: 参数方程< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L118" target = "_blank" > 在GitHub上查看< / 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_parametric_equations< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:< / 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;" > 获取直线的参数方程。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`tuple`](https%3A//docs.python.org/3/library/stdtypes.html#tuple)[[`OneSingleVarFunc`](./mp_math_typing#var-onesinglevarfunc), `OneSingleVarFunc`, `OneSingleVarFunc`]: 参数方程< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > lambda< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point.x < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.x < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > lambda< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point.y < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.y < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > lambda< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point.z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool< / code > < a class = "header-anchor" href = "#method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label = "Permalink to "***method*** `is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否近似平行。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < li > epsilon (< a href = "https://docs.python.org/3/library/functions.html#float" target = "_blank" rel = "noreferrer" > < code > float< / code > < / a > ): 误差< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否近似平行< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L128" target = "_blank" > 在GitHub上查看< / 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;" > is_approx_parallel< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , epsilon: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > float< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 1e-06< / span > < span style = "--shik
2024-08-28 12:03:02 +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;" > 判断两条直线是否近似平行。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon ([`float`](https%3A//docs.python.org/3/library/functions.html#float)): 误差< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.is_approx_parallel(other.direction, epsilon)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-parallel-self-other-line3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_parallel(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#method-is-parallel-self-other-line3-bool" aria-label = "Permalink to "***method*** `is_parallel(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否平行。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否平行< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L139" target = "_blank" > 在GitHub上查看< / 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;" > is_parallel< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
2024-08-28 12:03:02 +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;" > 判断两条直线是否平行。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.is_parallel(other.direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-collinear-self-other-line3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_collinear(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#method-is-collinear-self-other-line3-bool" aria-label = "Permalink to "***method*** `is_collinear(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否共线。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否共线< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L149" target = "_blank" > 在GitHub上查看< / 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;" > is_collinear< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
2024-08-28 12:03:02 +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;" > 判断两条直线是否共线。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否共线< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_parallel(other) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / 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;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point).is_parallel(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-point-on-self-point-point3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_point_on(self, point: Point3) -> bool< / code > < a class = "header-anchor" href = "#method-is-point-on-self-point-point3-bool" aria-label = "Permalink to "***method*** `is_point_on(self, point: Point3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断点是否在直线上。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > point (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 点< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否在直线上< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L159" target = "_blank" > 在GitHub上查看< / 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;" > is_point_on< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, point: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
2024-08-28 12:03:02 +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;" > 判断点是否在直线上。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 点< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否在直线上< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point).is_parallel(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-coplanar-self-other-line3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_coplanar(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#method-is-coplanar-self-other-line3-bool" aria-label = "Permalink to "***method*** `is_coplanar(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否共面。 充要条件： < / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否共面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L169" target = "_blank" > 在GitHub上查看< / 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;" > is_coplanar< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / 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;" > 判断两条直线是否共面。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 充要条件： < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否共面< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.cross(other.direction) < / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-simplify-self" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > simplify(self)< / code > < a class = "header-anchor" href = "#method-simplify-self" aria-label = "Permalink to "***method*** `simplify(self)`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 简化直线方程，等价相等。 自体简化，不返回值。< / p > < p > 按照可行性一次对x y z 化 0 处理，并对向量单位化< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L180" target = "_blank" > 在GitHub上查看< / 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;" > simplify< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self):< / span > < / span >
2024-08-28 12:03:02 +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;" > 简化直线方程，等价相等。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 自体简化，不返回值。< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 按照可行性一次对x y z 化 0 处理，并对向量单位化< / 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;" > .direction.normalize()< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.x < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / 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:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point.x < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.y < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / 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:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .point.y < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / 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;" > .point.z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < / span > < / code > < / pre > < / div > < / details > < p > < a href = "https://docs.python.org/3/library/functions.html#classmethod" target = "_blank" rel = "noreferrer" > < code > @classmethod< / code > < / a > < / p > < h4 id = "method-from-two-points-cls-p1-point3-p2-point3-line3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > from_two_points(cls, p1: Point3, p2: Point3) -> Line3< / code > < a class = "header-anchor" href = "#method-from-two-points-cls-p1-point3-p2-point3-line3" aria-label = "Permalink to "***method*** `from_two_points(cls, p1: Point3, p2: Point3) -> Line3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 工厂函数 由两点构造直线。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > p1 (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 点1< / li > < li > p2 (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 点2< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./line.html#class-line3" > < code > Line3< / code > < / a > : 直线< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L199" target = "_blank" > 在GitHub上查看< / 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:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > from_two_points< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (cls, p1: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , p2: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 工厂函数 由两点构造直线。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p1 ([`Point3`](./point#class-point3)): 点1< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p2 ([`Point3`](./point#class-point3)): 点2< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Line3`](./line#class-line3): 直线< / 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:#24292E;--shiki-dark:#E1E4E8;" > direction < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > p2 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > p1< / 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;" > cls< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (p1, direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-and-self-other-line3-line3-point3-none" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __and__(self, other: Line3) -> Line3 | Point3 | None< / code > < a class = "header-anchor" href = "#method-and-self-other-line3-line3-point3-none" aria-label = "Permalink to "***method*** `__and__(self, other: Line3) -> Line3 | Point3 | None`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算两条直线点集合的交集。重合线返回自身， ， < / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./line.html#class-line3" > < code > Line3< / code > < / a > | < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > | < a href = "https://docs.python.org/3/library/constants.html#None" target = "_blank" rel = "noreferrer" > < code > None< / code > < / a > : 交集< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L211" target = "_blank" > 在GitHub上查看< / 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;" > __and__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3 | Point3 | None' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
2024-08-28 20:35:22 +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;" > 计算两条直线点集合的交集。重合线返回自身， ， < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
2024-08-28 20:35:22 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Line3`](./line#class-line3) | [`Point3`](./point#class-point3) | [`None`](https://docs.python.org/3/library/constants.html#None): 交集< / span > < / span >
2024-08-28 20:35:22 +08:00
< 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_collinear(other):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > elif< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_parallel(other) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > or< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > not< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .is_coplanar(other):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > None< / 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;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .cal_intersection(other)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-eq-self-other-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __eq__(self, other) -> bool< / code > < a class = "header-anchor" href = "#method-eq-self-other-bool" aria-label = "Permalink to "***method*** `__eq__(self, other) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两条直线是否等价。< / p > < p > v1 // v2 ∧ (p1 - p2) // v1< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 另一条直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否等价< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L226" target = "_blank" > 在GitHub上查看< / 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;" > __eq__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / 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;" > 判断两条直线是否等价。< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > v1 // v2 ∧ (p1 - p2) // v1< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 另一条直线< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction.is_parallel(other.direction) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / 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;" > .point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.point).is_parallel(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .direction)< / span > < / span > < / code > < / pre > < / div > < / details > < / div > < / div > < / main > < footer class = "VPDocFooter" data-v-01c90815 data-v-28deee4a > <!-- [ --> <!-- ] --> < div class = "edit-info" data-v-28deee4a > < div class = "edit-link" data-v-28deee4a > < a class = "VPLink link vp-external-link-icon no-icon edit-link-button" href = "https://github.com/snowykami/mbcp/tree/main/mbcp//mp_math/line.py" target = "_blank" rel = "noreferrer" data-v-28deee4a > <!-- [ --> < span class = "vpi-square-pen edit-link-icon" data-v-28deee4a > < / span > 在 GitHub 上编辑此页<!-- ] --> < / a > < / div > <!-- --> < / div > < nav class = "prev-next" aria-labelledby = "doc-footer-aria-label" data-v-28deee4a > < span class = "visually-hidden" id = "doc-footer-aria-label" data-v-28deee4a > Pager< / span > < div class = "pager" data-v-28deee4a > < a class = "VPLink link pager-link prev" href = "/api/mp_math/" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 上一页< / span > < span class = "title" data-v-28deee4a > mbcp.mp_math< / span > <!-- ] --> < / a > < / div > < div class = "pager" data-v-28deee4a > < a class = "VPLink link pager-link next" href = "/api/mp_math/mp_math_typing.html" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 下一页< / span > < span class = "title" data-v-28deee4a > mbcp.mp_math.mp_math_typing< / span > <!-- ] --> < / a > < / div > < / nav > < / footer > <!-- [ --> <!-- ] --> < / div > < / div > < / div > <!-- [ --> <!-- ] --> < / div > < / div > < footer class = "VPFooter has-sidebar" data-v-3b4648ff data-v-d69bcf5d > < div class = "container" data-v-d69bcf5d > < p class = "message" data-v-d69bcf5d > 文档由 < a href = "https://vitepress.dev/" > VitePress< / a > 构建 | API引用由 < a href = "https://github.com/LiteyukiStudio/litedoc" > litedoc< / a > 生成< / p > < p class = "copyright" data-v-d69bcf5d > 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 _ i n d e x . m d \ " : \ " Y S - z q W w M \ " , \ " a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " C T h Q B 5 n q \ " , \ " a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " D q j Q Q 6 Y m \ " , \ " a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " C 1 Y M G s I R \ " , \ " a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " C 0 P _ - k o l \ " , \ " a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " y E j 9 p z O D \ " , \ " a p i _ m p _ m a t h _ l i n e . m d \ " : \ " O k m n 0 B T W \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " b d i O S v F y \ " , \ " a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D l - F d X x 3 \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " x U 6 H j e L 2 \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B q l o N j d D \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C G B Z j r 3 t \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B 4 4 3 f t A V \ " , \ " a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " V x g s H i Z a \ " , \ " a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B E Z B x 6 G j \ " , \ " a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " C z r Z X 1 L i \ " , \ " d e m o _ b e s t - p r a c t i c e . m d \ " : \ " C m Y j f r x d \ " , \ " d e m o _ i n d e x . m d \ " : \ " C V A d l a F I \ " , \ " e n _ a p i _ i n d e x . m d \ " : \ " B r J l a d - k \ " , \ " e n _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " B v z e T d t j \ " , \ " e n _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " C r U t _ 3 F V \ " , \ " e n _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " C H B t H 4 v 6 \ " , \ " e n _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " D 6 8 b T y e d \ " , \ " e n _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D 3 3 1 A s 7 i \ " , \ " e n _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B 6 9 k H o P c \ " , \ " 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 \ " : \ " x R G J G U M m \ " , \ " e n _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B d K g R u m w \ " , \ " e n _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B e T 2 o q I N \ " , \ " e n _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " D b F v I n H k \ " , \ " e n _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C Y q 8 h n c D \ " , \ " e n _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " C P G k Z z w r \ " , \ " e n _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " Z K B y d _ x 0 \ " , \ " e n _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B h o Z y G S V \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " B M 4 z z W d 9 \ " , \ " e n _ d e m o _ b e s t - p r a c t i c e . m d \ " : \ " C m t Y 1 0 5 n \ " , \ " 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 \ " : \ " C c - N t 9 O t \ " , \ " 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 \ " : \ " C J O q v l S E \ " , \ " i n d e x . m d \ " : \ " W V p b C 1 C 1 \ " , \ " j a _ a p i _ i n d e x . m d \ " : \ " 6 u 5 f 7 W 7 q \ " , \ " j a _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " C b T F N F p P \ " , \ " j a _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " H r V L d L V W \ " , \ " j a _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B R _ c j Y x P \ " , \ " j a _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " C e N P n p r i \ " , \ " j a _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " B V Y Y B c g X \ " , \ " j a _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " C m V m q 6 P C \ " , \ " 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 n S H E E F C \ " , \ " j a _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D 7 v 3 q _ U 8 \ " , \ " j a _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B q C 8 J g j G \ " , \ " j a _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " v i 1 F H 0 - - \ " , \ " j a _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " D h P m c v K - \ " , \ " j a _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B 7 o D y - S U \ " , \ " j a _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " i g h e y 3 J D \ " , \ " j a _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B o w 2 2 H N O \ " , \ " 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 C q j X i \ " , \ " j a _ d e m o _ b e s t - p r a c t i c e . m d \ " : \ " C B H i F 6 e c \ " , \ " 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 \ " : \ " B v j V 8 R I J \ " , \ " 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 _ i n d e x . m d \ " : \ " D M j E 1 x B r \ " , \ " z h t _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " D 6 i - - 7 z d \ " , \ " z h t _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " D I 0 x A y W X \ " , \ " z h t _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B 3 r t 0 P g w \ " , \ " z h t _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " C f 9 u t a T V \ " , \ " z h t _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D b g I 3 v D 1 \ " , \ " z h t _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " - w t K M T M J \ " , \ " 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 \ " : \ " B b O e R s - n \ " , \ " z h t _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " o _ V r o q h a \ " , \ " z h t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C N w x P Y y R \ " , \ " z h t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " D r 2 1 f 1 4 B \ " , \ " z h t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B 5 7 z 4 I w N \ " , \ " z h t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " D C G 5 C r a B \ " , \ " z h t _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " D j Z A B i v I \ " , \ " z h t _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B l 7 t n V S 9 \ " , \ " 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 Q a n u b Q 0 \ " , \ " z h t _ d e m o _ b e s t - p r a c t i c e . m d \ " : \ " C P N b D _ L g \ " , \ " 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 \ " : \ " f k O Y k Z Z e \ " , \ " 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 ) ? r . m a p ( d e s e r i a l i z e F u n c t i o n s ) : t y p e o f r = = " o b j e c t " & & r ! = = n u l l ? O b j e c t . k e y s ( r ) . r e d u c e ( ( t , n ) = > ( t [ n ] = d e s e r i a l i z e F u n c t i o n s ( r [ n ] ) , t ) , { } ) : t y p e o f r = = " s t r i n g " & & r . s t a r t s W i t h ( " _ v p - f n _ " ) ? n e w F u n c t i o n ( ` r e t u r n $ { r . s l i c e ( 7 ) } ` ) ( ) : r } ; w i n d o w . _ _ V P _ S I T E _ D A T A _ _ = d e s e r i a l i z e F u n c t i o n s ( J S O N . p a r s e ( " { \ " l a n g \ " : \ " e n - U S \ " , \ " d i r \ " : \ " l t r \ " , \ " t i t l e \ " : \ " V i t e P r e s s \ " , \ " d e s c r i p t i o n \ " : \ " A V i t e P r e s s s i t e \ " , \ " b a s e \ " : \ " / \ " , \ " h e a d \ " : [ ] , \ " r o u t e r \ " : { \ " p r e f e t c h L i n k s \ " : t r u e } , \ " a p p e a r a n c e \ " : t r u e , \ " t h e m e C o n f i g \ " : { \ " l o g o \ " : \ " / m b c p - l o g o . s v g \ " , \ " s i d e b a r \ " : { \ " / a p i / \ " : { \ " b a s e \ " : \ " / a p i / \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " M B C P \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m p _ m a t h \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p . m p _ m a t h . a n g l e \ " , \ " l i n k \ " : \ " m p _ m
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< / body >
< / html >
