Files
rdkit/Code/Geometry/testTransforms.cpp
ptosco ec8eb5a1bf - Changed all occurrences of RDKit::PI into M_PI
- added #ifdef M_PI (...) #endif in all relevant places
- made length() and sqLength() method consistent
  with respect to usage of pow(x, 2) vs x*x in
  Code/Geometry/point.h
- removed gzip-related boost.iostreams dependency and
  replaced with portable "cmake -E tar xzf" command
  in Code/ForceField/MMFF/CMakeLists.txt
2013-09-20 17:45:41 +02:00

385 lines
9.6 KiB
C++

// $Id$
//
// Copyright (C) 2005-2006 Rational Discovery LLC
//
// @@ All Rights Reserved @@
// This file is part of the RDKit.
// The contents are covered by the terms of the BSD license
// which is included in the file license.txt, found at the root
// of the RDKit source tree.
//
#include <RDGeneral/types.h>
#include <RDGeneral/Invariant.h>
#include <RDGeneral/utils.h>
#include "Transform2D.h"
#include "Transform3D.h"
#include "point.h"
#include <cstdlib>
#include <time.h>
using namespace RDGeom;
using namespace std;
double ptEq(const Point3D pt1, const Point3D pt2, double val = 1.e-8) {
return ( (abs(pt1.x - pt2.x) < val) &&
(abs(pt1.y - pt2.y) < val) &&
(abs(pt1.z - pt2.z) < val) );
}
double ptEq(const Point2D pt1, const Point2D pt2, double val = 1.e-8) {
return ( (abs(pt1.x - pt2.x) < val) &&
(abs(pt1.y - pt2.y) < val));
}
double randNum(double x=5) {
double res = (double)rand();
res /= RAND_MAX;
res *= x;
return res;
}
void testPointND(){
PointND pt(5);
TEST_ASSERT(pt.dimension() == 5);
unsigned int i;
for (i =0; i < 5; ++i) {
pt[i] = i+1.0;
}
pt.normalize();
double ep[5];
ep[0] = 0.13484; ep[1] = 0.26968;
ep[2] = 0.40452; ep[3] = 0.53936; ep[4] = 0.6742;
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt[i] - ep[i]) < 1.e-4);
}
PointND pt2(pt);
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt2[i] - ep[i]) < 1.e-4);
}
pt2 += pt;
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt2[i] - 2*ep[i]) < 1.e-4);
}
pt2 /= 2.0;
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt2[i] - ep[i]) < 1.e-4);
}
pt2 -= pt;
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt2[i] - 0.0) < 1.e-4);
}
pt2 = pt;
pt2 *= 2.;
for (i = 0; i < 5; ++i) {
TEST_ASSERT(abs(pt2[i] - 2*ep[i]) < 1.e-4);
}
double dp = pt.dotProduct(pt2);
TEST_ASSERT(abs(dp - 2.0) < 1.e-4);
double angle = pt.angleTo(pt2);
TEST_ASSERT(abs(angle - 0.0) < 1.e-4);
}
void testPointOps3D() {
Point3D pt0(1,0,0);
Point3D pt1(0,1,0);
Point3D pt2(-1,0,0);
Point3D pt3(0,-1,0);
TEST_ASSERT(abs(pt0.angleTo(pt0))<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt1)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt2)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt3)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt0)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt1))<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt2)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt3)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt0))<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt1)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt2)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt3)-3.*M_PI/2.)<1e-4);
Point3D diffPt = pt0.directionVector(pt1);
Point3D ref(-sqrt(2.)/2.,sqrt(2.)/2.,0);
TEST_ASSERT(ptEq(diffPt,ref));
}
void testPointOps2D() {
Point2D pt0(1,0);
Point2D pt1(0,1);
Point2D pt2(-1,0);
Point2D pt3(0,-1);
TEST_ASSERT(abs(pt0.angleTo(pt0))<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt1)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt2)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.angleTo(pt3)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt0)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt1))<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt2)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt1.angleTo(pt3)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt0))<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt1)-M_PI/2.)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt2)-M_PI)<1e-4);
TEST_ASSERT(abs(pt0.signedAngleTo(pt3)-3.*M_PI/2.)<1e-4);
Point2D diffPt = pt0.directionVector(pt1);
Point2D ref(-sqrt(2.)/2.,sqrt(2.)/2.);
TEST_ASSERT(ptEq(diffPt,ref));
}
void test12D() {
Point2D pt(1.0, 2.0);
Transform2D trans;
trans.TransformPoint(pt);
CHECK_INVARIANT(abs(pt.x - 1.0) < 1.e-8, "");
CHECK_INVARIANT(abs(pt.y - 2.0) < 1.e-8, "");
Point2D ref1(randNum(), randNum());
Point2D ref2(randNum(), randNum());
std::cout << "ref1: " << ref1 << " ref2: " << ref2 << "\n";
Point2D pt1(randNum(), randNum());
Point2D pt2(randNum(), randNum());
Point2D pt1o = pt1;
Point2D pt2o = pt2;
std::cout << "pt1: " << pt1 << " pt2: " << pt2 << "\n";
Transform2D t2d;
t2d.SetTransform(ref1, ref2, pt1, pt2);
t2d.TransformPoint(pt1);
t2d.TransformPoint(pt2);
// make sure pt1 overlaps ref1
Point2D dif1 = pt1 - ref1;
CHECK_INVARIANT(abs(dif1.x) < 1.e-8, "");
CHECK_INVARIANT(abs(dif1.y) < 1.e-8, "");
// now check that the angle between the two vectors (ref2 - ref1) and
// (pt2 - pt1) is zero
Point2D rvec = ref2 - ref1;
Point2D pvec = pt2 - pt1;
rvec.normalize();
pvec.normalize();
double pdot = rvec.dotProduct(pvec);
CHECK_INVARIANT(abs(pdot - 1.0) < 1.e-8, "");
// compute the reverse transform and make sure we are basically getting the
// identity
Transform2D tdi;
tdi.SetTransform(pt1o, pt2o, pt1, pt2);
tdi.TransformPoint(pt1);
tdi.TransformPoint(pt2);
CHECK_INVARIANT(ptEq(pt1, pt1o), "");
CHECK_INVARIANT(ptEq(pt2, pt2o), "");
// the following product should result in an identity matrix
tdi *= t2d;
tdi.TransformPoint(pt1);
tdi.TransformPoint(pt2);
CHECK_INVARIANT(ptEq(pt1, pt1o), "");
CHECK_INVARIANT(ptEq(pt2, pt2o), "");
Point2D npt1(1.0, 0.0);
Point2D npt2(5.0, 0.0);
Point2D opt1 = npt1;
Point2D opt2(1.0, 4.0);
Transform2D ntd;
ntd.SetTransform(npt1, M_PI/2);
ntd.TransformPoint(npt1);
ntd.TransformPoint(npt2);
CHECK_INVARIANT(ptEq(npt1, opt1), "");
CHECK_INVARIANT(ptEq(npt2, opt2), "");
}
void test23D() {
Point3D pt(1.0, 0.0, 0.0);
Point3D tpt = pt;
Transform3D trans;
trans.SetRotation(M_PI/2., X_Axis);
trans.TransformPoint(pt);
CHECK_INVARIANT(ptEq(tpt, pt), "");
Point3D pt2(0.0, 1.0, 0.0);
Point3D tpt2(0.0, 0.0, 1.0);
trans.TransformPoint(pt2);
CHECK_INVARIANT(ptEq(tpt2, pt2), "");
Point3D pt3(0.0, 0.0, 1.0);
Point3D tpt3(0.0, -1.0, 0.0);
trans.TransformPoint(pt3);
CHECK_INVARIANT(ptEq(tpt3, pt3), "");
// rotate around y-axis
Transform3D transy;
transy.SetRotation(M_PI/2., Y_Axis);
transy.TransformPoint(pt);
Point3D tpt4(0.0, 0.0, -1.0);
CHECK_INVARIANT(ptEq(tpt4, pt), "");
Point3D pt5(0.0, 1.0, 0.0);
Point3D tpt5(0.0, 1.0, 0.0);
transy.TransformPoint(pt5);
CHECK_INVARIANT(ptEq(tpt5, pt5), "");
Point3D pt6(0.0, 0.0, 1.0);
Point3D tpt6(1.0, 0.0, 0.0);
transy.TransformPoint(pt6);
CHECK_INVARIANT(ptEq(tpt6, pt6), "");
// z-axis
Transform3D transz;
transz.SetRotation(M_PI/2., Z_Axis);
Point3D pt7(1.0, 0.0, 0.0);
Point3D tpt7(0.0, 1.0, 0.0);
transz.TransformPoint(pt7);
CHECK_INVARIANT(ptEq(tpt7, pt7), "");
Point3D pt8(0.0, 1.0, 0.0);
Point3D tpt8(-1.0, 0.0, 0.0);
transz.TransformPoint(pt8);
CHECK_INVARIANT(ptEq(tpt8, pt8), "");
Point3D pt9(0.0, 0.0, 1.0);
Point3D tpt9(0.0, 0.0, 1.0);
transz.TransformPoint(pt9);
CHECK_INVARIANT(ptEq(tpt9, pt9), "");
}
void test3MatMultiply() {
// start with line on the axis starting at 1.0,
// transform it into a line on z-axis starting at 3.0
Point3D pt1(1.0, 0.0, 0.0);
Point3D pt2(2.0, 0.0, 0.0);
std::cout << "Pt1: " << pt1 << " Pt2: " << pt2 << "\n";
std::cout << "-Pt1: " << (-pt1) << "\n";
// move to orgin
Transform3D t1;
t1.SetTranslation(-pt1);
Point3D tp1 = pt1;
Point3D tp2 = pt1;
t1.TransformPoint(tp1);
t1.TransformPoint(tp2);
std::cout << "tp1: " << tp1 << " tp2: " << tp2 << "\n";
// rotation around origin
Transform3D t2;
t2.SetRotation(-M_PI/2.0, Y_Axis);
t2.TransformPoint(tp1);
t2.TransformPoint(tp2);
std::cout << "tp1: " << tp1 << " tp2: " << tp2 << "\n";
// move on z-axis
Transform3D t3;
Point3D npt1(0.0, 0.0, 3.0);
t3.SetTranslation(npt1);
Point3D npt2(0.0, 0.0, 4.0);
t3.TransformPoint(tp1);
t3.TransformPoint(tp2);
std::cout << "tp1: " << tp1 << " tp2: " << tp2 << "\n";
std::cout << "npt1: " << npt1 << " npt2: " << npt2 << "\n";
// combine the transform;
Transform3D t4 = t3*t2*t1;
t2 *= t1;
t3 *= t2;
Point3D opt1 = pt1;
Point3D opt2 = pt2;
t3.TransformPoint(pt1);
t3.TransformPoint(pt2);
std::cout << "Pt1: " << pt1 << " Pt2: " << pt2 << "\n";
// check the transformed points align with the new points on z-axis
CHECK_INVARIANT(ptEq(pt1, npt1), "");
CHECK_INVARIANT(ptEq(pt2, npt2), "");
t4.TransformPoint(opt1);
t4.TransformPoint(opt2);
CHECK_INVARIANT(ptEq(opt1, npt1), "");
CHECK_INVARIANT(ptEq(opt2, npt2), "");
}
void testFromQuaternion() {
double qt[4];
qt[0] = cos(M_PI/6);
qt[1] = -sin(M_PI/6);
qt[2] = 0.0;
qt[3] = 0.0;
Transform3D trans;
trans.SetRotationFromQuaternion(qt);
Transform3D ntrans;
ntrans.SetRotation(M_PI/3, Point3D(1.0, 0.0, 0.0));
unsigned int i,j;
for (i = 0; i < 4; i++) {
for (j = 0; j < 4; j++) {
CHECK_INVARIANT(RDKit::feq(trans.getVal(i,j), ntrans.getVal(i,j)), "");
}
}
}
int main() {
srand(time(NULL));
std::cout << "****************************************\n";
std::cout << "testPointND\n";
testPointND();
std::cout << "****************************************\n";
std::cout << "testPointOps3D\n";
testPointOps3D();
std::cout << "****************************************\n";
std::cout << "testPointOps2D\n";
testPointOps2D();
std::cout << "****************************************\n";
std::cout << "test12D\n";
test12D();
std::cout << "****************************************\n";
std::cout << "test23D\n";
test23D();
std::cout << "****************************************\n";
std::cout << "test3MatMultiply\n";
test3MatMultiply();
std::cout << "****************************************\n";
std::cout << "testFromQuaternion\n";
testFromQuaternion();
std::cout << "****************************************\n";
return 0;
}