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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 < / 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 > 説明< / strong > : 判断两条直线是否近似相等。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 计算直线和直线之间的夹角。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 计算直线和直线或点之间的距离。< / p > < p > < strong > 變數説明< / 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 > 抛出< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L50" target = "_blank" > 於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:#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 >
2024-09-03 22:49:39 +08:00
< 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 > 説明< / strong > : 计算两条直线的交点。< / p > < p > < strong > 變數説明< / 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 > 抛出< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L80" target = "_blank" > 於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 >
2024-08-29 13:25:00 +08:00
< 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 >
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;" > .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 > 説明< / strong > : 计算直线经过指定点p的垂线。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L98" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 获取直线上的点。同一条直线， ， < / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L108" target = "_blank" > 於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 >
< 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 > 説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L118" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 判断两条直线是否近似平行。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L128" target = "_blank" > 於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 = "--s
< 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 > 説明< / strong > : 判断两条直线是否平行。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L139" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 判断两条直线是否共线。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L149" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 判断点是否在直线上。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L159" target = "_blank" > 於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 >
< 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 > 説明< / strong > : 判断两条直线是否共面。 充要条件： < / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L169" target = "_blank" > 於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 >
< 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 > 説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L180" target = "_blank" > 於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 >
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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.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 >
2024-09-03 22:49:39 +08:00
< 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 > 説明< / strong > : 工厂函数 由两点构造直线。< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L199" target = "_blank" > 於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 >
2024-08-29 13:25:00 +08:00
< 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:#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 >
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;" > 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 > 説明< / strong > : 计算两条直线点集合的交集。重合线返回自身， ， < / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L211" target = "_blank" > 於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 >
2024-08-29 13:25:00 +08:00
< 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 >
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;" > .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 > 説明< / strong > : 判断两条直线是否等价。< / p > < p > v1 // v2 ∧ (p1 - p2) // v1< / p > < p > < strong > 變數説明< / 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 > 源碼< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L226" target = "_blank" > 於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 >
< 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 > 於 GitHub 上編輯這頁<!-- ] --> < / 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 = "/zht/api/mp_math/" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 上一頁< / 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 = "/zht/api/mp_math/mp_math_typing.html" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 下一頁< / 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 > 文檔由 < a href = "https://vitepress.dev/" > VitePress< / a > 構建 | 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 >
2024-09-06 19:50:17 +08:00
< 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 \ " : \ " B O 3 O G C Z m \ " , \ " a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " D R C L N U J L \ " , \ " a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B _ A P a Y - d \ " , \ " a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " Q 6 t f q P V 1 \ " , \ " a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " C D W 7 K 4 a O \ " , \ " a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " B f S A i 6 Y B \ " , \ " a p i _ m p _ m a t h _ l i n e . m d \ " : \ " L d 9 E y t A 4 \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " D 0 j H a H h o \ " , \ " a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D R Z N c H y 5 \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C 4 s 5 F h w G \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " J Y V g L e p k \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " D u X Z d _ E C \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " F C - q e 2 - I \ " , \ " a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " B n a J l v r B \ " , \ " a p i _ p r e s e t s _ i n d e x . m d \ " : \ " C n 3 t b i U 4 \ " , \ " a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D T Q N H o Y w \ " , \ " 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 \ " : \ " C 0 - L R r M B \ " , \ " e n _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " B d _ S m d d I \ " , \ " e n _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " f - 2 w Q H W 5 \ " , \ " e n _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B 0 T h T N c D \ " , \ " e n _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " l 1 9 F Y 4 H u \ " , \ " e n _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " B i D C W h u z \ " , \ " e n _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B d 5 Z 3 i C 3 \ " , \ " 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 \ " : \ " A 2 o A W I N P \ " , \ " e n _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D 9 1 V t 6 a U \ " , \ " e n _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " D r 2 b D E 6 - \ " , \ " e n _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " D 0 w p X 8 U s \ " , \ " e n _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " n 9 H k x c _ q \ " , \ " e n _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " A R D Q G W R k \ " , \ " e n _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " j 3 _ p 5 K t Y \ " , \ " e n _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B j 8 H Q N _ s \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " C F 6 g W x h r \ " , \ " 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 \ " : \ " C G n g N E P X \ " , \ " j a _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " D u r F o q A y \ " , \ " j a _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " k K A d 6 i h V \ " , \ " j a _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " C l A C M t E E \ " , \ " j a _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " p J M 1 N J 2 m \ " , \ " j a _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " B C R e R K f D \ " , \ " j a _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B b b G y d D H \ " , \ " 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 \ " : \ " C z E P V 5 E p \ " , \ " j a _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B v T 5 1 o _ C \ " , \ " j a _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C e v h X W s h \ " , \ " j a _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " D Z A k m I j J \ " , \ " j a _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B k 8 M H g O d \ " , \ " j a _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " c 1 m t K a M 8 \ " , \ " j a _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " C W 1 r q a r C \ " , \ " j a _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B F c _ P f J b \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " w Z Z U h v v V \ " , \ " 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 _ 7 - d i f f e r e n t i a l - e u q t i o n _ i n d e x . m d \ " : \ " D d 2 - 7 I 9 S \ " , \ " 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 \ " : \ " B h 7 I C G 6 U \ " , \ " z h t _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " C B K E Z c i J \ " , \ " z h t _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " D 9 e B w c N w \ " , \ " z h t _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D c k V 9 F 7 F \ " , \ " z h t _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " 3 R r u 8 v f k \ " , \ " z h t _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D V q L R Z h m \ " , \ " z h t _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " D o p G q z V Z \ " , \ " 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 W z R f F J e \ " , \ " z h t _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " O n I 3 2 y 0 z \ " , \ " z h t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " D o Q 3 5 q 2 6 \ " , \ " z h t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C q Q i t A R a \ " , \ " z h t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " i t N F G 1 x 8 \ " , \ " z h t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " D u g 1 h q A u \ " , \ " z h t _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " b d o u G 1 s k \ " , \ " z h t _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " 9 w d P A k K N \ " , \ " 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 f m F W G a - \ " , \ " 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
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