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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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point: 直线上的一点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > direction: 直线的方向向量< / 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;" > .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 = "def-approx-self-other-line3-epsilon-float-approx-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > approx(self, other: Line3, epsilon: float = APPROX) -> bool< / code > < a class = "header-anchor" href = "#def-approx-self-other-line3-epsilon-float-approx-bool" aria-label = "Permalink to "***def*** `approx(self, other: Line3, epsilon: float = APPROX) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否近似相等。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < li > epsilon: 误差< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否近似相等< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon: 误差< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否近似相等< / span > < / span >
< 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 = "def-cal-angle-self-other-line3-anyangle" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > cal_angle(self, other: Line3) -> AnyAngle< / code > < a class = "header-anchor" href = "#def-cal-angle-self-other-line3-anyangle" aria-label = "Permalink to "***def*** `cal_angle(self, other: Line3) -> AnyAngle`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算直线和直线之间的夹角。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 夹角弧度< / p > < p > < strong > Raises< / strong > :< / p > < blockquote > < ul > < li > TypeError 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 夹角弧度< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > TypeError: 不支持的类型< / span > < / span >
< 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 = "def-cal-distance-self-other-line3-point3-float" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > cal_distance(self, other: Line3 | Point3) -> float< / code > < a class = "header-anchor" href = "#def-cal-distance-self-other-line3-point3-float" aria-label = "Permalink to "***def*** `cal_distance(self, other: Line3 | Point3) -> float`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算直线和直线或点之间的距离。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 平行直线或点< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 距离< / p > < p > < strong > Raises< / strong > :< / p > < blockquote > < ul > < li > TypeError 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L52" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 平行直线或点< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 距离< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > TypeError: 不支持的类型< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (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 >
2024-08-31 06:57:34 +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 = "def-cal-intersection-self-other-line3-point3" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > cal_intersection(self, other: Line3) -> Point3< / code > < a class = "header-anchor" href = "#def-cal-intersection-self-other-line3-point3" aria-label = "Permalink to "***def*** `cal_intersection(self, other: Line3) -> Point3`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算两条直线的交点。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 交点< / p > < p > < strong > Raises< / strong > :< / p > < blockquote > < ul > < li > ValueError 直线平行< / li > < li > ValueError 直线不共面< / li > < / ul > < / blockquote > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L83" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
2024-08-28 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;" > 计算两条直线的交点。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 交点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ValueError: 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 >
< 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 >
2024-08-31 06:57:34 +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 = "def-cal-perpendicular-self-point-point3-line3" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > cal_perpendicular(self, point: Point3) -> Line3< / code > < a class = "header-anchor" href = "#def-cal-perpendicular-self-point-point3-line3" aria-label = "Permalink to "***def*** `cal_perpendicular(self, point: Point3) -> Line3`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算直线经过指定点p的垂线。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > point: 指定点< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 垂线< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L101" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point: 指定点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 垂线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +08:00
< 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 = "def-get-point-self-t-realnumber-point3" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > get_point(self, t: RealNumber) -> Point3< / code > < a class = "header-anchor" href = "#def-get-point-self-t-realnumber-point3" aria-label = "Permalink to "***def*** `get_point(self, t: RealNumber) -> Point3`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 获取直线上的点。同一条直线， ， < / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > t: 参数t< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 点< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L111" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > get_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 >
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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > t: 参数t< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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:#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 = "def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]< / code > < a class = "header-anchor" href = "#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label = "Permalink to "***def*** `get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 获取直线的参数方程。< / p > < p > < strong > Return< / strong > : x(t), y(t), z(t)< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L121" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > get_parametric_equations< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:< / 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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > x(t), y(t), z(t)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool< / code > < a class = "header-anchor" href = "#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label = "Permalink to "***def*** `is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否近似平行。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < li > epsilon: 误差< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否近似平行< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L131" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 = "--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 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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon: 误差< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否近似平行< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-is-parallel-self-other-line3-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > is_parallel(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#def-is-parallel-self-other-line3-bool" aria-label = "Permalink to "***def*** `is_parallel(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否平行。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否平行< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L142" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否平行< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-is-collinear-self-other-line3-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > is_collinear(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#def-is-collinear-self-other-line3-bool" aria-label = "Permalink to "***def*** `is_collinear(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否共线。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否共线< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L152" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否共线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-is-point-on-self-point-point3-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > is_point_on(self, point: Point3) -> bool< / code > < a class = "header-anchor" href = "#def-is-point-on-self-point-point3-bool" aria-label = "Permalink to "***def*** `is_point_on(self, point: Point3) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断点是否在直线上。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > point: 点< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否在直线上< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L162" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point: 点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否在直线上< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-is-coplanar-self-other-line3-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > is_coplanar(self, other: Line3) -> bool< / code > < a class = "header-anchor" href = "#def-is-coplanar-self-other-line3-bool" aria-label = "Permalink to "***def*** `is_coplanar(self, other: Line3) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否共面。 充要条件： < / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 是否共面< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L172" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > 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 >
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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 是否共面< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 06:57:34 +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 = "def-simplify-self" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > simplify(self)< / code > < a class = "header-anchor" href = "#def-simplify-self" aria-label = "Permalink to "***def*** `simplify(self)`"" > < / a > < / h4 > < p > < strong > Description< / 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 > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L183" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > simplify< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self):< / 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;" > 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 >
2024-08-31 06:57:34 +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 > < code > @classmethod< / code > < / p > < h4 id = "def-from-two-points-cls-p1-point3-p2-point3-line3" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > from_two_points(cls, p1: Point3, p2: Point3) -> Line3< / code > < a class = "header-anchor" href = "#def-from-two-points-cls-p1-point3-p2-point3-line3" aria-label = "Permalink to "***def*** `from_two_points(cls, p1: Point3, p2: Point3) -> Line3`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 工厂函数 由两点构造直线。< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > p1: 点1< / li > < li > p2: 点2< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 直线< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L202" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
2024-08-28 20:35:22 +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:#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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p1: 点1< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p2: 点2< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 直线< / span > < / span >
< 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 >
2024-08-31 06:57:34 +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 = "def-and-self-other-line3-line3-point3-none" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > __and__(self, other: Line3) -> Line3 | Point3 | None< / code > < a class = "header-anchor" href = "#def-and-self-other-line3-line3-point3-none" aria-label = "Permalink to "***def*** `__and__(self, other: Line3) -> Line3 | Point3 | None`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 计算两条直线点集合的交集。重合线返回自身， ， < / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other: 另一条直线< / li > < / ul > < / blockquote > < p > < strong > Return< / strong > : 交点< / p > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L214" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other: 另一条直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 交点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 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 >
2024-08-31 06:57:34 +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 = "def-eq-self-other-bool" tabindex = "-1" > < em > < strong > def< / strong > < / em > < code > __eq__(self, other) -> bool< / code > < a class = "header-anchor" href = "#def-eq-self-other-bool" aria-label = "Permalink to "***def*** `__eq__(self, other) -> bool`"" > < / a > < / h4 > < p > < strong > Description< / strong > : 判断两条直线是否等价。< / p > < p > v1 // v2 ∧ (p1 - p2) // v1< / p > < p > < strong > Arguments< / strong > :< / p > < blockquote > < ul > < li > other:< / li > < / ul > < / blockquote > < details > < summary > < b > Source code< / b > or < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L229" target = "_blank" > View on GitHub< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __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 >
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;" > 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 >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other:< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-31 07:58:16 +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-40342069 data-v-a4b38bd6 > <!-- [ --> <!-- ] --> < div class = "edit-info" data-v-a4b38bd6 > < div class = "edit-link" data-v-a4b38bd6 > < 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-a4b38bd6 > <!-- [ --> < span class = "vpi-square-pen edit-link-icon" data-v-a4b38bd6 > < / span > Edit this page on GitHub<!-- ] --> < / a > < / div > < div class = "last-updated" data-v-a4b38bd6 > < p class = "VPLastUpdated" data-v-a4b38bd6 data-v-5cebc0fc > Last updated: < time datetime = "2024-08-29T07:07:35.000Z" data-v-5cebc0fc > < / time > < / p > < / div > < / div > < nav class = "prev-next" aria-labelledby = "doc-footer-aria-label" data-v-a4b38bd6 > < span class = "visually-hidden" id = "doc-footer-aria-label" data-v-a4b38bd6 > Pager< / span > < div class = "pager" data-v-a4b38bd6 > < a class = "VPLink link pager-link prev" href = "/en/api/mp_math/" data-v-a4b38bd6 > <!-- [ --> < span class = "desc" data-v-a4b38bd6 > Prev Page< / span > < span class = "title" data-v-a4b38bd6 > mbcp.mp_math< / span > <!-- ] --> < / a > < / div > < div class = "pager" data-v-a4b38bd6 > < a class = "VPLink link pager-link next" href = "/en/api/mp_math/mp_math_typing.html" data-v-a4b38bd6 > <!-- [ --> < span class = "desc" data-v-a4b38bd6 > Next Page< / span > < span class = "title" data-v-a4b38bd6 > mbcp.mp_math.mp_math_typing< / span > <!-- ] --> < / a > < / div > < / nav > < / footer > <!-- [ --> <!-- ] --> < / div > < / div > < / div > <!-- [ --> <!-- ] --> < / div > < / div > < footer class = "VPFooter has-sidebar" data-v-22f859ac data-v-e3ca6860 > < div class = "container" data-v-e3ca6860 > < p class = "message" data-v-e3ca6860 > Documentation built with < a href = "https://vitepress.dev/" > VitePress< / a > | API references generated by < a href = "https://github.com/LiteyukiStudio/litedoc" > litedoc< / a > < / p > < p class = "copyright" data-v-e3ca6860 > Copyright (C) 2020-2024 SnowyKami. All Rights Reserved< / p > < / div > < / footer > <!-- [ --> <!-- ] --> < / div > < / div >
< script > w i n d o w . _ _ V P _ H A S H _ M A P _ _ = J S O N . p a r s e ( " { \ " a p i _ a p i . m d \ " : \ " D r p z H y 2 M \ " , \ " a p i _ i n d e x . m d \ " : \ " Q 9 o D v H _ 6 \ " , \ " a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " B C 8 m L T 9 V \ " , \ " a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " C z j B J I j C \ " , \ " a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D E w n q i M 5 \ " , \ " a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " B O c Z - k 7 E \ " , \ " a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " C g P Z q W k 2 \ " , \ " a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B 9 p r k 9 K j \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " B M E F q L K u \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " C K m r v j J E \ " , \ " a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " C U v Z 7 j G 1 \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B W t m 0 p 2 C \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C e 2 D r j t _ \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B L A I Q Y J V \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B C Y H Q W 5 q \ " , \ " a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " D p b h b Z u Y \ " , \ " a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " B p w 0 M V 0 e \ " , \ " a p i _ p r e s e t s _ i n d e x . m d \ " : \ " C r T H Q D y B \ " , \ " a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D Y X 4 V z Q J \ " , \ " a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " D N X A L r 2 n \ " , \ " a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " D 3 v t k 8 s c \ " , \ " d e m o _ i n d e x . m d \ " : \ " C V A d l a F I \ " , \ " e n _ a p i _ a p i . m d \ " : \ " C H 3 w 1 c s g \ " , \ " e n _ a p i _ i n d e x . m d \ " : \ " C c T W W u 9 r \ " , \ " e n _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " y v 5 o r y g X \ " , \ " e n _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " C w N 5 - L S I \ " , \ " e n _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D w w u R d 9 E \ " , \ " e n _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " n 3 _ M F y 8 m \ " , \ " e n _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " C h U I w S I A \ " , \ " e n _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " C s L k F B W 5 \ " , \ " e n _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " D J S 2 q f 3 J \ " , \ " e n _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " B R 4 P P C j - \ " , \ " e n _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D j H 7 G w u Z \ " , \ " e n _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B W V v x L r x \ " , \ " e n _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B E 8 b o 5 x 9 \ " , \ " e n _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B T O p 0 U z p \ " , \ " e n _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B N D _ - H D s \ " , \ " e n _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " _ w U K 3 v 4 2 \ " , \ " e n _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " C - m i N 5 a a \ " , \ " e n _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " 9 3 s 9 N T D q \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D c j f 9 y D t \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " N e R Z C R e 5 \ " , \ " e n _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " D 2 N L t 3 O v \ " , \ " e n _ g u i d e _ i n d e x . m d \ " : \ " C 3 k I 8 f 8 A \ " , \ " e n _ i n d e x . m d \ " : \ " D 5 C d d O W - \ " , \ " e n _ r e f e r _ i n d e x . m d \ " : \ " C q 6 G W i 0 V \ " , \ " g u i d e _ i n d e x . m d \ " : \ " B V h Q 0 k P y \ " , \ " i n d e x . m d \ " : \ " D J W B R k U z \ " , \ " j a _ a p i _ a p i . m d \ " : \ " C U i 9 7 z n f \ " , \ " j a _ a p i _ i n d e x . m d \ " : \ " B q - U q h K m \ " , \ " j a _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " C O K T - 3 q 5 \ " , \ " j a _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B 4 H x 0 P D l \ " , \ " j a _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B y V C w m o 8 \ " , \ " j a _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " D O k B m Q k F \ " , \ " j a _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " 8 L k E w D I J \ " , \ " j a _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " q b P L x e p H \ " , \ " j a _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " D K 0 n b 8 o Y \ " , \ " 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 W g c 3 o h G \ " , \ " j a _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B J F p J M 2 I \ " , \ " j a _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " 0 Y s o z w P t \ " , \ " j a _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B n r D C N W p \ " , \ " j a _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C l I g A y 7 y \ " , \ " j a _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B 4 i i s 1 R 2 \ " , \ " j a _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " C F - T 1 D a N \ " , \ " j a _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " C V i X N y f B \ " , \ " j a _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " B 7 y g l 0 8 S \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D Q l i i N _ s \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " D o 2 Q S w o B \ " , \ " j a _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " C 1 N N 1 Q P M \ " , \ " j a _ g u i d e _ i n d e x . m d \ " : \ " w 1 T f 2 A d m \ " , \ " j a _ i n d e x . m d \ " : \ " D n s q Z i 7 i \ " , \ " j a _ r e f e r _ i n d e x . m d \ " : \ " D a m U s c s 8 \ " , \ " r e f e r _ f u n c t i o n _ c u r r y . m d \ " : \ " D _ o q R D d 3 \ " , \ " r e f e r _ f u n c t i o n _ f u n c t i o n . m d \ " : \ " B i _ 8 2 l I J \ " , \ " r e f e r _ i n d e x . m d \ " : \ " y F Z W 0 k I 4 \ " , \ " z h t _ a p i _ a p i . m d \ " : \ " C 2 h N R c u q \ " , \ " z h t _ a p i _ i n d e x . m d \ " : \ " B z a F n M g S \ " , \ " z h t _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " _ Y g A K K Z 8 \ " , \ " z h t _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B g 9 y f r e y \ " , \ " z h t _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D l 4 V l L 2 q \ " , \ " z h t _ a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " D C Z G s z h C \ " , \ " z h t _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D K O G J - 3 J \ " , \ " z h t _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B a - c p u k S \ " , \ " z h t _ a p i _ m p _ m a t h _ m p _ m a t h . m d \ " : \ " D _ T B b v z i \ " , \ " 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 J _ j D c l m \ " , \ " z h t _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B v A 7 i 9 g f \ " , \ " z h t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " D 8 L 5 j _ 3 H \ " , \ " z h t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B A 1 z E c o t \ " , \ " z h t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " B x P b 0 J B p \ " , \ " z h t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " E O H N - 8 S i \ " , \ " z h t _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " J r c a 0 i M X \ " , \ " z h t _ a p i _ p a r t i c l e _ p a r t i c l e . m d \ " : \ " B R E K h h 7 3 \ " , \ " z h t _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " w h J M V g u T \ " , \ " 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 \ " : \ " D q P I k H v h \ " , \ " z h t _ a p i _ p r e s e t s _ m o d e l _ m o d e l . m d \ " : \ " x 1 H K R u e 1 \ " , \ " z h t _ a p i _ p r e s e t s _ p r e s e t s . m d \ " : \ " B H P z i O m Z \ " , \ " z h t _ g u i d e _ i n d e x . m d \ " : \ " B N n M V i C 8 \ " , \ " z h t _ i n d e x . m d \ " : \ " C U R 8 - Q X m \ " , \ " z h t _ r e f e r _ i n d e x . m d \ " : \ " B 7 C Q S 2 U W \ " } " ) ; f u n c t i o n d e s e r i a l i z e F u n c t i o n s ( r ) { r e t u r n A r r a y . i s A r r a y ( r )
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