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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;" > 平面方程： < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > a ([`float`](https%3A//docs.python.org/3/library/functions.html#float)): x系数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > b (`float`): y系数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > c (`float`): z系数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > d (`float`): 常数项< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > a< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > b< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > c< / 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;" > .d < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > d< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-approx-self-other-plane3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > approx(self, other: Plane3) -> bool< / code > < a class = "header-anchor" href = "#method-approx-self-other-plane3-bool" aria-label = "Permalink to "***method*** `approx(self, other: Plane3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两个平面是否近似相等。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否近似相等< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L34" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > approx< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Plane3' < / 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;" > 判断两个平面是否近似相等。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Plane3`](./plane#class-plane3)): 另一个平面< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< 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;" > .a < / 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:#24292E;--shiki-dark:#E1E4E8;" > k < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.a < / 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;" > .a< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.b, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.c, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.d, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .d < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k)< / 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;" > .b < / 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:#24292E;--shiki-dark:#E1E4E8;" > k < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.b < / 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;" > .b< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.a, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.c, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.d, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .d < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k)< / 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;" > .c < / 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:#24292E;--shiki-dark:#E1E4E8;" > k < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.c < / 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;" > .c< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.a, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.b, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > approx(other.d, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .d < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > k)< / 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;" > False< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-angle-self-other-line3-plane3-anyangle" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_angle(self, other: Line3 | Plane3) -> AnyAngle< / code > < a class = "header-anchor" href = "#method-cal-angle-self-other-line3-plane3-anyangle" aria-label = "Permalink to "***method*** `cal_angle(self, other: Line3 | Plane3) -> AnyAngle`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算平面与平面之间的夹角。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > | < a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面或直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./angle.html#class-anyangle" > < code > AnyAngle< / code > < / a > : 夹角< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#TypeError" target = "_blank" rel = "noreferrer" > < code > TypeError< / code > < / a > 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L54" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > cal_angle< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3 | Plane3' < / 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 >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算平面与平面之间的夹角。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3) | [`Plane3`](./plane#class-plane3)): 另一个平面或直线< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`AnyAngle`](./angle#class-anyangle): 夹角< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`TypeError`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#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;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal.cal_angle(other.direction).complementary< / 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, Plane3):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > AnyAngle(math.acos(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > @< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.normal < / 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;" > .normal.length < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.normal.length)), < / span > < span style = "--shiki-light:#E36209;--shiki-dark:#FFAB70;" > is_radian< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > True< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > else< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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:#D73A49;--shiki-dark:#F97583;" > f< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Unsupported type: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > {type< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other)< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > }< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-distance-self-other-plane3-point3-float" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_distance(self, other: Plane3 | Point3) -> float< / code > < a class = "header-anchor" href = "#method-cal-distance-self-other-plane3-point3-float" aria-label = "Permalink to "***method*** `cal_distance(self, other: Plane3 | Point3) -> float`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算平面与平面或点之间的距离。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > | < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 另一个平面或点< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#float" target = "_blank" rel = "noreferrer" > < code > float< / code > < / a > : 距离< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#TypeError" target = "_blank" rel = "noreferrer" > < code > TypeError< / code > < / a > 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L71" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > cal_distance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Plane3 | 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 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算平面与平面或点之间的距离。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Plane3`](./plane#class-plane3) | [`Point3`](./point#class-point3)): 另一个平面或点< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`float`](https%3A//docs.python.org/3/library/functions.html#float): 距离< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`TypeError`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#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, Plane3):< / 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:#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;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .d) < / 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;" > .a < / 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;" > .b < / 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;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > **< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 2< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > **< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0.5< / 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:#D73A49;--shiki-dark:#F97583;" > f< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Unsupported type: < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > {type< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other)< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > }< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-intersection-line3-self-other-plane3-line3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_intersection_line3(self, other: Plane3) -> Line3< / code > < a class = "header-anchor" href = "#method-cal-intersection-line3-self-other-plane3-line3" aria-label = "Permalink to "***method*** `cal_intersection_line3(self, other: Plane3) -> Line3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算两平面的交线。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./line.html#class-line3" > < code > Line3< / code > < / a > : 交线< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#ValueError" target = "_blank" rel = "noreferrer" > < code > ValueError< / code > < / a > 平面平行且无交线< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L88" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > cal_intersection_line3< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Plane3' < / 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 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-08-29 13:25:00 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算两平面的交线。< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Plane3`](./plane#class-plane3)): 另一个平面< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Line3`](./line#class-line3): 交线< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`ValueError`](https%3A//docs.python.org/3/library/exceptions.html#ValueError): 平面平行且无交线< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal.is_parallel(other.normal):< / 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;" > ' Planes are parallel and have no intersection.' < / 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:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal.cross(other.normal)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, y, z < / 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;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / 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:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > !=< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.a < / 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:#24292E;--shiki-dark:#E1E4E8;" > A < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c], [other.b, other.c]])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > B < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([< / 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;" > .d, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.d])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > y, z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.linalg.solve(A, B)< / 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;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > !=< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.b < / 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:#24292E;--shiki-dark:#E1E4E8;" > A < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c], [other.a, other.c]])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > B < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([< / 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;" > .d, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.d])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.linalg.solve(A, B)< / 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;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > !=< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > and< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.c < / 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:#24292E;--shiki-dark:#E1E4E8;" > A < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b], [other.a, other.b]])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > B < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.array([< / 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;" > .d, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.d])< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, y < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > np.linalg.solve(A, B)< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Line3(Point3(x, y, z), direction)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-intersection-point3-self-other-line3-point3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_intersection_point3(self, other: Line3) -> Point3< / code > < a class = "header-anchor" href = "#method-cal-intersection-point3-self-other-line3-point3" aria-label = "Permalink to "***method*** `cal_intersection_point3(self, other: Line3) -> Point3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算平面与直线的交点。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./point.html#class-point3" > < code > Point3< / code > < / a > : 交点< / p > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#ValueError" target = "_blank" rel = "noreferrer" > < code > ValueError< / code > < / a > 平面与直线平行或重合< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L121" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > cal_intersection_point3< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算平面与直线的交点。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3)): 直线< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Point3`](./point#class-point3): 交点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`ValueError`](https%3A//docs.python.org/3/library/exceptions.html#ValueError): 平面与直线平行或重合< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > @< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction < / 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:#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;" > ' The plane and the line are parallel or coincident.' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, y, z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.get_parametric_equations()< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / 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;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.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;" > .d) < / 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;" > .a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction.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;" > .b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction.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;" > .c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction.z)< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Point3(x(t), y(t), z(t))< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-cal-parallel-plane3-self-point-point3-plane3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > cal_parallel_plane3(self, point: Point3) -> Plane3< / code > < a class = "header-anchor" href = "#method-cal-parallel-plane3-self-point-point3-plane3" aria-label = "Permalink to "***method*** `cal_parallel_plane3(self, point: Point3) -> Plane3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 计算平行于该平面且过指定点的平面。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > point (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 指定点< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > : 平面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L141" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > cal_parallel_plane3< / 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;" > ' Plane3' < / 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;" > 计算平行于该平面且过指定点的平面。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 指定点< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Plane3`](./plane#class-plane3): 平面< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Plane3.from_point_and_normal(point, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-is-parallel-self-other-plane3-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > is_parallel(self, other: Plane3) -> bool< / code > < a class = "header-anchor" href = "#method-is-parallel-self-other-plane3-bool" aria-label = "Permalink to "***method*** `is_parallel(self, other: Plane3) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两个平面是否平行。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否平行< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L151" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > is_parallel< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Plane3' < / 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;" > 判断两个平面是否平行。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Plane3`](./plane#class-plane3)): 另一个平面< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .normal.is_parallel(other.normal)< / span > < / span > < / code > < / pre > < / div > < / details > < p > < a href = "https://docs.python.org/3/library/functions.html#property" target = "_blank" rel = "noreferrer" > < code > @property< / code > < / a > < / p > < h4 id = "method-normal-self-vector3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > normal(self) -> Vector3< / code > < a class = "header-anchor" href = "#method-normal-self-vector3" aria-label = "Permalink to "***method*** `normal(self) -> Vector3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 平面的法向量。< / p > < p > < strong > 返回< / strong > : < a href = "./vector.html#class-vector3" > < code > Vector3< / code > < / a > : 法向量< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L162" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > property< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > normal< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Vector3' < / 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;" > 平面的法向量。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Vector3`](./vector#class-vector3): 法向量< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Vector3(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .a, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .b, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .c)< / 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-point-and-normal-cls-point-point3-normal-vector3-plane3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3< / code > < a class = "header-anchor" href = "#method-from-point-and-normal-cls-point-point3-normal-vector3-plane3" aria-label = "Permalink to "***method*** `from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 工厂函数 由点和法向量构造平面(点法式构造)。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > point (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 平面上一点< / li > < li > normal (< a href = "./vector.html#class-vector3" > < code > Vector3< / code > < / a > ): 法向量< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > : 平面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L171" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > from_point_and_normal< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (cls, point: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , normal: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Vector3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Plane3' < / 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 由点和法向量构造平面(点法式构造)。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 平面上一点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > normal ([`Vector3`](./vector#class-vector3)): 法向量< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Plane3`](./plane#class-plane3): 平面< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > a, b, c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (normal.x, normal.y, normal.z)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > d < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > a < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / 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:#24292E;--shiki-dark:#E1E4E8;" > b < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / 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:#24292E;--shiki-dark:#E1E4E8;" > c < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > point.z< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > cls< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (a, b, c, d)< / 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-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3< / code > < a class = "header-anchor" href = "#method-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" aria-label = "Permalink to "***method*** `from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 工厂函数 由三点构造平面。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > p1 (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 点1< / li > < li > p2 (< code > Point3< / code > ): 点2< / li > < li > p3 (< code > Point3< / code > ): 点3< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : 平面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L185" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > from_three_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;" > , p3: < / 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;" > ' Plane3' < / 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 由三点构造平面。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p1 ([`Point3`](./point#class-point3)): 点1< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p2 (`Point3`): 点2< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > p3 (`Point3`): 点3< / span > < / span >
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< 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;" > 平面< / 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;" > v1 < / 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 >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v2 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > p3 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > p1< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > normal < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v1.cross(v2)< / 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;" > .from_point_and_normal(p1, normal)< / 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-lines-cls-l1-line3-l2-line3-plane3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3< / code > < a class = "header-anchor" href = "#method-from-two-lines-cls-l1-line3-l2-line3-plane3" aria-label = "Permalink to "***method*** `from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 工厂函数 由两直线构造平面。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > l1 (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 直线< / li > < li > l2 (< code > Line3< / code > ): 直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : 平面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L203" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
2024-08-28 12:03:02 +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_lines< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (cls, l1: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , l2: < / 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;" > ' Plane3' < / 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 由两直线构造平面。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > l1 ([`Line3`](./line#class-line3)): 直线< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > l2 (`Line3`): 直线< / span > < / span >
2024-08-28 12:03:02 +08:00
< 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;" > 平面< / 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;" > v1 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > l1.direction< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v2 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > l2.point < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > l1.point< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v2 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > zero_vector3:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v2 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > l2.get_point(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 1< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > l1.point< / 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;" > .from_point_and_normal(l1.point, v1.cross(v2))< / 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-point-and-line-cls-point-point3-line-line3-plane3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > from_point_and_line(cls, point: Point3, line: Line3) -> Plane3< / code > < a class = "header-anchor" href = "#method-from-point-and-line-cls-point-point3-line-line3-plane3" aria-label = "Permalink to "***method*** `from_point_and_line(cls, point: Point3, line: Line3) -> Plane3`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 工厂函数 由点和直线构造平面。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > point (< a href = "./point.html#class-point3" > < code > Point3< / code > < / a > ): 平面上一点< / li > < li > line (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > ): 直线< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : 平面< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L219" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > classmethod< / span > < / span >
2024-08-28 12:03:02 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > from_point_and_line< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (cls, point: < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Point3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > , line: < / 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;" > ' Plane3' < / 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 由点和直线构造平面。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > point ([`Point3`](./point#class-point3)): 平面上一点< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > line ([`Line3`](./line#class-line3)): 直线< / span > < / span >
2024-08-28 12:03:02 +08:00
< 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;" > 平面< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > cls< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .from_point_and_normal(point, line.direction)< / span > < / span > < / code > < / pre > < / div > < / details > < p > < code > @overload< / code > < / p > < h4 id = "method-and-self-other-line3-point3-none" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __and__(self, other: Line3) -> Point3 | None< / code > < a class = "header-anchor" href = "#method-and-self-other-line3-point3-none" aria-label = "Permalink to "***method*** `__and__(self, other: Line3) -> Point3 | None`"" > < / a > < / h4 > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L256" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @overload< / 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:#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;" > ' Point3 | None' < / 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;" > ...< / span > < / span > < / code > < / pre > < / div > < / details > < p > < code > @overload< / code > < / p > < h4 id = "method-and-self-other-plane3-line3-none" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __and__(self, other: Plane3) -> Line3 | None< / code > < a class = "header-anchor" href = "#method-and-self-other-plane3-line3-none" aria-label = "Permalink to "***method*** `__and__(self, other: Plane3) -> Line3 | None`"" > < / a > < / h4 > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L260" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > @overload< / 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:#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;" > ' Plane3' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ) -> < / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Line3 | None' < / 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;" > ...< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-and-self-other" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __and__(self, other)< / code > < a class = "header-anchor" href = "#method-and-self-other" aria-label = "Permalink to "***method*** `__and__(self, other)`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 取两平面的交集（人话：交线）< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./line.html#class-line3" > < code > Line3< / code > < / a > | < a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面或直线< / 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 > < p > < strong > 引发< / strong > :< / p > < blockquote > < ul > < li > < a href = "https://docs.python.org/3/library/exceptions.html#TypeError" target = "_blank" rel = "noreferrer" > < code > TypeError< / code > < / a > 不支持的类型< / li > < / ul > < / blockquote > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L263" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __and__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other):< / span > < / span >
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;" > 取两平面的交集（人话：交线）< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > other ([`Line3`](./line#class-line3) | [`Plane3`](./plane#class-plane3)): 另一个平面或直线< / span > < / span >
2024-08-28 20:35:22 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
2024-08-31 09:34:37 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > [`Line3`](./line#class-line3) | [`Point3`](./point#class-point3) | [`None`](https%3A//docs.python.org/3/library/constants.html#None): 交集< / 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`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型< / span > < / span >
2024-08-28 20:35:22 +08:00
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other, Plane3):< / 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;" > .normal.is_parallel(other.normal):< / 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;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .cal_intersection_line3(other)< / 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, 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:#24292E;--shiki-dark:#E1E4E8;" > .normal < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > @< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > other.direction < / 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:#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;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .cal_intersection_point3(other)< / 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:#D73A49;--shiki-dark:#F97583;" > f< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " unsupported operand type(s) for & : ' Plane3' and ' < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > {type< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (other)< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > }< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' " < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-eq-self-other-bool" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __eq__(self, other) -> bool< / code > < a class = "header-anchor" href = "#method-eq-self-other-bool" aria-label = "Permalink to "***method*** `__eq__(self, other) -> bool`"" > < / a > < / h4 > < p > < strong > 说明< / strong > : 判断两个平面是否等价。< / p > < p > < strong > 参数< / strong > :< / p > < blockquote > < ul > < li > other (< a href = "./plane.html#class-plane3" > < code > Plane3< / code > < / a > ): 另一个平面< / li > < / ul > < / blockquote > < p > < strong > 返回< / strong > : < a href = "https://docs.python.org/3/library/functions.html#bool" target = "_blank" rel = "noreferrer" > < code > bool< / code > < / a > : 是否等价< / p > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L284" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __eq__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, other) -> < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > bool< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 判断两个平面是否等价。< / 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 ([`Plane3`](./plane#class-plane3)): 另一个平面< / 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;" > [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
2024-09-03 22:49:39 +08:00
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .approx(other)< / span > < / span > < / code > < / pre > < / div > < / details > < h4 id = "method-rand-self-other-line3-point3" tabindex = "-1" > < em > < strong > method< / strong > < / em > < code > __rand__(self, other: Line3) -> Point3< / code > < a class = "header-anchor" href = "#method-rand-self-other-line3-point3" aria-label = "Permalink to "***method*** `__rand__(self, other: Line3) -> Point3`"" > < / a > < / h4 > < details > < summary > < b > 源代码< / b > 或 < a href = "https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L294" target = "_blank" > 在GitHub上查看< / a > < / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __rand__< / 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 >
< 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_point3(other)< / 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/plane.py" target = "_blank" rel = "noreferrer" data-v-28deee4a > <!-- [ --> < span class = "vpi-square-pen edit-link-icon" data-v-28deee4a > < / span > 在 GitHub 上编辑此页<!-- ] --> < / a > < / div > <!-- --> < / div > < nav class = "prev-next" aria-labelledby = "doc-footer-aria-label" data-v-28deee4a > < span class = "visually-hidden" id = "doc-footer-aria-label" data-v-28deee4a > Pager< / span > < div class = "pager" data-v-28deee4a > < a class = "VPLink link pager-link prev" href = "/api/mp_math/mp_math_typing.html" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 上一页< / span > < span class = "title" data-v-28deee4a > mbcp.mp_math.mp_math_typing< / span > <!-- ] --> < / a > < / div > < div class = "pager" data-v-28deee4a > < a class = "VPLink link pager-link next" href = "/api/mp_math/point.html" data-v-28deee4a > <!-- [ --> < span class = "desc" data-v-28deee4a > 下一页< / span > < span class = "title" data-v-28deee4a > mbcp.mp_math.point< / span > <!-- ] --> < / a > < / div > < / nav > < / footer > <!-- [ --> <!-- ] --> < / div > < / div > < / div > <!-- [ --> <!-- ] --> < / div > < / div > < footer class = "VPFooter has-sidebar" data-v-3b4648ff data-v-d69bcf5d > < div class = "container" data-v-d69bcf5d > < p class = "message" data-v-d69bcf5d > 文档由 < a href = "https://vitepress.dev/" > VitePress< / a > 构建 | API引用由 < a href = "https://github.com/LiteyukiStudio/litedoc" > litedoc< / a > 生成< / p > < p class = "copyright" data-v-d69bcf5d > Copyright (C) 2020-2024 SnowyKami. All Rights Reserved< / p > < / div > < / footer > <!-- [ --> <!-- ] --> < / div > < / div >
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< 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 X j H P M c Z \ " , \ " 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 a T L b d s 6 \ " , \ " a p i _ m p _ m a t h _ f u n c t i o n . m d \ " : \ " D 6 S k - j U 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 \ " : \ " K - H h I s v U \ " , \ " 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 Q h j z D 0 6 \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " N L p _ S g 9 U \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C 2 P E P 6 H 5 \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " Q B 0 h G G M g \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B 1 W u 6 c 9 G \ " , \ " 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 \ " : \ " B H 3 a z K A 8 \ " , \ " d e m o _ b e s t - 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9 I g W h _ \ " , \ " z h t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " v F M E E e V u \ " , \ " z h t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B u D H b w Y P \ " , \ " z h t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " D v x T Z y 5 j \ " , \ " z h t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " h A G 5 6 f d m \ " , \ " 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 \ " : \ " C y r J s c B T \ " , \ " z h t _ d e m o _ b e s t - p r a c t i c e . m d \ " : \ " C P N b D _ L g \ " , \ " z h t _ g u i d e _ i n d e x . m d \ " : \ " B N n M V i C 8 \ " , \ " z h t _ i n d e x . m d \ " : \ " f k O Y k Z Z e \ " , \ " z h t _ r e f e r _ i n d e x . m d \ " : \ " B 7 C Q S 2 U W \ " } " ) ; f u n c t i o n d e s e r i a l i z e F u n c t i o n s ( r ) { r e t u r n A r r a y . i s A r r a y ( r ) ? r . m a p ( d e s e r i a l i z e F u n c t i o n s ) : t y p e o f r = = " o b j e c t " & & r ! = = n u l l ? O b j e c t . k e y s ( r ) . r e d u c e ( ( t , n ) = > ( t [ n ] = d e s e r i a l i z e F u n c t i o n s ( r [ n ] ) , t ) , { } ) : t y p e o f r = = " s t r i n g " & & r . s t a r t s W i t h ( " _ v p - f n _ " ) ? n e w F u n c t i o n ( ` r e t u r n $ { r . s l i c e ( 7 ) } ` ) ( ) : r } ; w i n d o w . _ _ V P _ S I T E _ D A T A _ _ = d e s e r i a l i z e F u n c t i o n s ( J S O N . p a r s e ( " { \ " l a n g \ " : \ " e n - U S \ " , \ " d i r \ " : \ " l t r \ " , \ " t i t l e \ " : \ " V i t e P r e s s \ " , \ " d e s c r i p t i o n \ " : \ " A V i t e P r e s s s i t e \ " , \ " b a s e \ " : \ " / \ " , \ " h e a d \ " : [ ] , \ " r o u t e r \ " : { \ " p r e f e t c h L i n k s \ " : t r u e } , \ " a p p e a r a n c e \ " : t r u e , \ " t h e m e C o n f i g \ " : { \ " l o g o \ " : \ " / m b c p - l o g o . s v g \ " , \ " s i d e b a r \ " : { \ " / a p i / \ " : { \ " b a s e \ " : \ " / a p i / \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " M B C P \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m p _ m a t h \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p . m p _ m a t h . a n g l e \ " , \ " l i n k \ " : \ " m p _ m
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< / body >
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