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// -*- C++ -*-
// $Id: testBasicVector3D.cc,v 1.5 2010/06/16 16:21:27 garren Exp $
// ---------------------------------------------------------------------------
#include <iostream>
#include <assert.h>
#include "CLHEP/Geometry/Point3D.h"
#include "CLHEP/Geometry/Vector3D.h"
#include "CLHEP/Geometry/Normal3D.h"
#include "CLHEP/Geometry/Transform3D.h"
#include "CLHEP/Units/PhysicalConstants.h"
bool EQUAL(double a, double b) {
double del = a - b;
if (del < 0) del = -del;
return del < 0.000001;
}
using namespace HepGeom;
#define CHECK(point,type) \
/* Check default constructor */ \
point p00; \
assert(p00.x() == 0 && p00.y() == 0 && p00.z() == 0); \
\
/* Check constructor from three numbers */ \
point p01(1,2,3); \
point p02(4.,5.,6.); \
assert(p01.x() == 1 && p01.y() == 2 && p01.z() == 3); \
assert(p02.x() == 4 && p02.y() == 5 && p02.z() == 6); \
\
/* Check constructor from array */ \
float farray[] = {1,2,3}; \
type darray[] = {4,5,6}; \
point p03(farray); assert(p03 == point(1,2,3)); \
point p04(darray); assert(p04 == point(4,5,6)); \
\
/* Check conversion to array */ \
const point p05(1,2,3); \
const type * a = p05; \
assert(a[0] == 1 && a[1] == 2 && a[2] == 3); \
point p06(4,5,6); \
a = p06; \
assert(a[0] == 4 && a[1] == 5 && a[2] == 6); \
type * b = p06; \
b[0] = 7; \
b[1] = 8; \
b[2] = 9; assert(p06 == point(7,8,9)); \
\
/* Check copy constructor */ \
point p10(p01); assert(p10 == point(1,2,3)); \
point p11(Point3D <float>(1,2,3)); assert(p11 == point(1,2,3)); \
point p12(Vector3D<float>(4,5,6)); assert(p12 == point(4,5,6)); \
point p13(Normal3D<float>(7,8,9)); assert(p13 == point(7,8,9)); \
point p14(Point3D <type> (1,2,3)); assert(p14 == point(1,2,3)); \
point p15(Vector3D<type> (4,5,6)); assert(p15 == point(4,5,6)); \
point p16(Normal3D<type> (7,8,9)); assert(p16 == point(7,8,9)); \
\
/* Check assignment */ \
point p20; \
p20 = Point3D <float>(1,2,3); assert(p20 == point(1,2,3)); \
p20 = Vector3D<float>(4,5,6); assert(p20 == point(4,5,6)); \
p20 = Normal3D<float>(7,8,9); assert(p20 == point(7,8,9)); \
p20 = Point3D <type> (1,2,3); assert(p20 == point(1,2,3)); \
p20 = Vector3D<type> (4,5,6); assert(p20 == point(4,5,6)); \
p20 = Normal3D<type> (7,8,9); assert(p20 == point(7,8,9)); \
\
/* Check arithmetic operations */ \
point p21(1,2,3); \
p21 += point(1,2,3); assert(p21 == point(2,4,6)); \
p21 += Point3D <float>(1,1,1); assert(p21 == point(3,5,7)); \
p21 += Vector3D<float>(1,1,1); assert(p21 == point(4,6,8)); \
p21 += Normal3D<float>(1,1,1); assert(p21 == point(5,7,9)); \
p21 -= point(1,2,3); assert(p21 == point(4,5,6)); \
p21 -= Point3D <type>(1,1,1); assert(p21 == point(3,4,5)); \
p21 -= Vector3D<type>(1,1,1); assert(p21 == point(2,3,4)); \
p21 -= Normal3D<type>(1,1,1); assert(p21 == point(1,2,3)); \
p21 *= 2; assert(p21 == point(2,4,6)); \
p21 /= 2; assert(p21 == point(1,2,3)); \
p21 *= 2.0f; assert(p21 == point(2,4,6)); \
p21 /= 2.0f; assert(p21 == point(1,2,3)); \
p21 *= 2.0; assert(p21 == point(2,4,6)); \
p21 /= 2.0; assert(p21 == point(1,2,3)); \
\
/* Check subscripting */ \
point p22(1,2,3); \
assert(p22(0) == 1 && p22(1) == 2 && p22(2) == 3); \
assert(p22[0] == 1 && p22[1] == 2 && p22[2] == 3); \
p22(0) = 4; \
p22(1) = 5; \
p22(2) = 6; assert(p22 == point(4,5,6)); \
p22[0] = 7; \
p22[1] = 8; \
p22[2] = 9; assert(p22 == point(7,8,9)); \
\
/* Check carthesian coordinate system */ \
point p30; \
p30.setX(1); \
p30.setY(2); \
p30.setZ(3); assert(p30 == point(1,2,3)); \
p30.set(4,5,6); \
assert(p30.x() == 4 && p30.y() == 5 && p30.z() == 6); \
\
/* Check cylindrical coordinate system */ \
point p40(12,16,1); assert(p40.perp2() == 400); \
assert(p40.perp() == 20); \
assert(p40.rho() == 20); \
p40.setPerp(5); assert(p40 == point(3,4,1)); \
p40.set(0,0,1); \
p40.setPerp(5); assert(p40 == point(0,0,1)); \
\
/* Check spherical coordinate system */ \
point p50(2,3,6); assert(p50.mag2() == 49); \
assert(p50.mag() == 7); \
assert(p50.r() == 7); \
assert(p50.getR() == 7); \
point p51(0,0,1); assert(p51.phi() == 0); \
point p52(2,4,5); assert(EQUAL(p52.phi() ,std::atan2(2.,1.))); \
assert(EQUAL(p52.getPhi() ,std::atan2(2.,1.))); \
point p53(0,0,0); assert(p53.theta() == 0); \
assert(p53.cosTheta() == 1); \
point p54(3,4,10); assert(EQUAL(p54.theta() ,std::atan2(1.,2.))); \
assert(EQUAL(p54.getTheta(),std::atan2(1.,2.))); \
assert(EQUAL(p54.cosTheta(),std::sqrt(0.8))); \
point p55(2,3,6); \
p55.setMag(14); assert(p55 == point(4,6,12)); \
p55.setR(7); assert(p55 == point(2,3,6)); \
point p56 = p55; \
p56.setPhi(CLHEP::pi/6); assert(EQUAL(p56.getPhi(),CLHEP::pi/6)); \
assert(EQUAL(p56.mag() ,p55.mag())); \
assert(EQUAL(p56.theta() ,p55.theta())); \
point p57 = p55; \
p57.setTheta(CLHEP::pi/3); assert(EQUAL(p57.cosTheta(),0.5)); \
assert(EQUAL(p57.mag() ,p55.mag())); \
assert(EQUAL(p57.phi() ,p55.phi())); \
\
/* Check pseudo-rapidity */ \
point p60(2,3,6); \
point p61 = p60; \
p61.setEta(2); assert(EQUAL(p61.pseudoRapidity(),2)); \
assert(EQUAL(p61.getEta() ,2)); \
assert(EQUAL(p61.eta() ,2)); \
assert(EQUAL(p61.mag() ,7)); \
assert(EQUAL(p61.phi(),p60.phi())); \
\
/* Check combination of two vectors */ \
point p70(1,2,3); assert(p70.dot(p70) == p70.mag2()); \
point p71( 1,2, 3); \
point p72(-3,2,-1); assert(p71.cross(p72) == point(-8,-8,8)); \
point p73(3,4,0); assert(p73.perp2(point(0,1,0)) == 9); \
assert(p73.perp (point(1,0,0)) == 4); \
point p74(1,0,0); \
point p75(1,1,0); assert(EQUAL(p74.angle(p75),CLHEP::pi/4)); \
assert(EQUAL(p75.angle(p00),CLHEP::pi/2)); \
\
/* Check related vectors */ \
point p80(1,2,3); \
point p81 = p80.unit(); assert(EQUAL(p81.mag() ,1)); \
point p82 = p80.orthogonal(); assert(EQUAL(p82.dot(p81),0)); \
\
/* Check rotations */ \
point p90(2,0.5,std::sqrt(3.)/2); \
p90.rotateX(CLHEP::pi/6); assert(p90.x() == 2); \
assert(EQUAL(p90.y(),0)); \
assert(EQUAL(p90.z(),1)); \
point p91(std::sqrt(3.)/2,2,0.5); \
p91.rotateY(CLHEP::pi/6); assert(EQUAL(p91.x(),1)); \
assert(p91.y() == 2); \
assert(EQUAL(p91.z(),0)); \
point p92(0.5,std::sqrt(3.)/2,2); \
p92.rotateZ(CLHEP::pi/6); assert(EQUAL(p92.x(),0)); \
assert(EQUAL(p92.y(),1)); \
assert(p92.z() == 2); \
point p93(1,1,std::sqrt(2.)); \
p93.rotate(CLHEP::pi,Vector3D<float>(-1,-1,std::sqrt(2.))); \
assert(EQUAL(p93.x(),-1)); \
assert(EQUAL(p93.y(),-1)); \
assert(EQUAL(p93.z(),-std::sqrt(2.))); \
\
/* Check transformations */ \
point p100(1,1,std::sqrt(2.)); \
Transform3D m; \
m = Rotate3D(CLHEP::pi,Vector3D<float>(-1,-1,std::sqrt(2.))); \
p100.transform(m); assert(EQUAL(p100.x(),-1)); \
assert(EQUAL(p100.y(),-1)); \
assert(EQUAL(p100.z(),-std::sqrt(2.))); \
\
/* Check input/output */ \
point p110; \
std::cin >> p110; \
std::cout << p110 << std::endl; \
\
/* Check non-member arithmetics */ \
point p120(-1,-2,-3); \
p120 = +p120; assert(p120 == point(-1,-2,-3)); \
p120 = -p120; assert(p120 == point(1,2,3)); \
point p121(1,2,3); \
p121 = p121 + Point3D <float>(1,1,1); assert(p121 == point(2,3,4));\
p121 = p121 + Vector3D<float>(1,1,1); assert(p121 == point(3,4,5));\
p121 = p121 + Normal3D<float>(1,1,1); assert(p121 == point(4,5,6));\
p121 = p121 - Point3D <type> (1,1,1); assert(p121 == point(3,4,5));\
p121 = p121 - Vector3D<type> (1,1,1); assert(p121 == point(2,3,4));\
p121 = p121 - Normal3D<type> (1,1,1); assert(p121 == point(1,2,3));\
p121 = p121 * 2; assert(p121 == point(2,4,6)); \
p121 = p121 / 2; assert(p121 == point(1,2,3)); \
p121 = p121 * 2.0f; assert(p121 == point(2,4,6)); \
p121 = p121 / 2.0f; assert(p121 == point(1,2,3)); \
p121 = p121 * 2.0; assert(p121 == point(2,4,6)); \
p121 = p121 / 2.0; assert(p121 == point(1,2,3)); \
p121 = 2 * p121; assert(p121 == point(2,4,6)); \
p121 = 0.5f * p121; assert(p121 == point(1,2,3)); \
p121 = 2.0 * p121; assert(p121 == point(2,4,6)); \
assert(p121 * p121 == p121.mag2()); \
assert(p121 * Point3D <float>(1,1,1) == 12); \
assert(p121 * Vector3D<float>(1,1,1) == 12); \
assert(p121 * Normal3D<float>(1,1,1) == 12); \
assert(p121 == Point3D <float>(2,4,6)); \
assert(p121 == Vector3D<float>(2,4,6)); \
assert(p121 == Normal3D<float>(2,4,6)); \
assert(p121 != Point3D <type> (3,4,6)); \
assert(p121 != Vector3D<type> (2,5,6)); \
assert(p121 != Normal3D<type> (2,4,7)); \
void CheckPointFloat() { CHECK(Point3D<float> , float) }
void CheckVectorFloat() { CHECK(Vector3D<float> , float) }
void CheckNormalFloat() { CHECK(Normal3D<float> , float) }
void CheckPointDouble() { CHECK(Point3D<double> , double) }
void CheckVectorDouble() { CHECK(Vector3D<double>, double) }
void CheckNormalDouble() { CHECK(Normal3D<double>, double) }
int main()
{
CheckPointFloat();
CheckVectorFloat();
CheckNormalFloat();
CheckPointDouble();
CheckVectorDouble();
CheckNormalDouble();
return 0;
}
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