src/geometry/circumcircle.h

• View this file on GitHub
• Last update: 2025-07-19 20:33:24+09:00
• Link: http://en.wikipedia.org/wiki/Circumcircle

Depends on

• src/geometry/Point.h

Required by

• src/geometry/MinimumEnclosingCircle.h

Code

/**
 * Author: Ulf Lundstrom
 * Date: 2009-04-11
 * License: CC0
 * Source: http://en.wikipedia.org/wiki/Circumcircle
 * Description:\\
\begin{minipage}{75mm}
The circumcirle of a triangle is the circle intersecting all three vertices. ccRadius returns the radius of the circle going through points A, B and C and ccCenter returns the center of the same circle.
\end{minipage}
\begin{minipage}{15mm}
\vspace{-2mm}
\includegraphics[width=\textwidth]{src/geometry/circumcircle}
\end{minipage}
 * Status: tested
 */
#pragma once

#include "src/geometry/Point.h"

typedef Point<double> P;
double ccRadius(const P& A, const P& B, const P& C) {
	return (B-A).dist()*(C-B).dist()*(A-C).dist()/
			abs((B-A).cross(C-A))/2;
}
P ccCenter(const P& A, const P& B, const P& C) {
	P b = C-A, c = B-A;
	return A + (b*c.dist2()-c*b.dist2()).perp()/b.cross(c)/2;
}

Traceback (most recent call last):
  File "/opt/hostedtoolcache/Python/3.14.0/x64/lib/python3.14/site-packages/onlinejudge_verify/documentation/build.py", line 71, in _render_source_code_stat
    bundled_code = language.bundle(stat.path, basedir=basedir, options={'include_paths': [basedir]}).decode()
                   ~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/hostedtoolcache/Python/3.14.0/x64/lib/python3.14/site-packages/onlinejudge_verify/languages/cplusplus.py", line 187, in bundle
    bundler.update(path)
    ~~~~~~~~~~~~~~^^^^^^
  File "/opt/hostedtoolcache/Python/3.14.0/x64/lib/python3.14/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 312, in update
    raise BundleErrorAt(path, i + 1, "#pragma once found in a non-first line")
onlinejudge_verify.languages.cplusplus_bundle.BundleErrorAt: src/geometry/circumcircle.h: line 16: #pragma once found in a non-first line

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