Math/test/ExtVec_t.cpp

0001 #include "DataFormats/Math/interface/ExtVec.h"
0002
0003 #include <cmath>
0004 #include <vector>
0005
0006 #include <iostream>
0007
0008 #ifdef __AVX2__
0009 #define CMS_USE_AVX2
0010 #endif /* __AVX2__ */
0011
0012 void addScaleddiff(Vec3F& res, float s, Vec3F const& a, Vec3F const& b) { res = res + s * (a - b); }
0013
0014 float dotV(Vec3F const& a, Vec3F const& b) { return dot(a, b); }
0015
0016 float dotSimple(Vec3F const& a, Vec3F const& b) {
0017   Vec3F res = a * b;
0018   return res[0] + res[1] + res[2];
0019 }
0020
0021 double dotSimple(Vec3D const& a, Vec3D const& b) {
0022   Vec3D res = a * b;
0023   return res[0] + res[1] + res[2];
0024 }
0025
0026 float norm(Vec3F const& a) { return std::sqrt(dot(a, a)); }
0027
0028 Vec3F toLocal(Vec3F const& a, Rot3<float> const& r) { return r.rotate(a); }
0029
0030 Vec3F toGlobal(Vec3F const& a, Rot3<float> const& r) { return r.rotateBack(a); }
0031
0032 // fake basicVector to check constructs...
0033 template <typename T>
0034 struct BaVec {
0035   typedef BaVec<T> self;
0036
0037   BaVec() : theX(0), theY(0), theZ(0), theW(0) {}
0038
0039   BaVec(float f1, float f2, float f3) : theX(f1), theY(f2), theZ(f3), theW(0) {}
0040
0041   self& operator+=(self const& rh) { return *this; }
0042
0043   T theX;
0044   T theY;
0045   T theZ;
0046   T theW;
0047 } __attribute__((aligned(16)));
0048
0049 typedef BaVec<float> BaVecF;
0050
0051 static_assert(sizeof(BaVecF) == sizeof(Vec3F));
0052
0053 struct makeVec3F {
0054   makeVec3F(BaVecF& bv) : v(reinterpret_cast<Vec3F&>(bv)) {}
0055   Vec3F& v;
0056 };
0057 struct makeVec3FC {
0058   makeVec3FC(BaVecF const& bv) : v(reinterpret_cast<Vec3F const&>(bv)) {}
0059   Vec3F const& v;
0060 };
0061
0062 template <>
0063 inline BaVecF& BaVecF::operator+=(BaVecF const& rh) {
0064   makeVec3FC v(rh);
0065   makeVec3F s(*this);
0066   s.v = s.v + v.v;
0067   return *this;
0068 }
0069
0070 void sum(BaVecF& lh, BaVecF const& rh) { lh += rh; }
0071
0072 void testBa() {
0073   std::cout << " test BA of size " << sizeof(BaVecF) << std::endl;
0074   BaVecF vx(2.0, 4.0, 5.0);
0075   BaVecF vy(-3.0, 2.0, -5.0);
0076   vx += vy;
0077   std::cout << vx.theX << ", " << vx.theY << ", " << vx.theZ << std::endl;
0078 }
0079
0080 template <typename T>
0081 void go2d() {
0082   typedef Vec2<T> Vec2d;
0083   typedef Vec4<T> Vec3d;
0084   static_assert(sizeof(Vec2d) == 2 * sizeof(T));
0085   static_assert(sizeof(Vec3d) == 4 * sizeof(T));
0086
0087   std::cout << "\n2d" << std::endl;
0088   std::cout << sizeof(Vec2d) << ' ' << alignof(Vec2d) << std::endl;
0089
0090   std::vector<Vec2d> vec1;
0091   vec1.reserve(50);
0092   std::vector<T> vect(23);
0093   std::vector<Vec2d> vec2(53);
0094   std::vector<Vec2d> vec3;
0095   vec3.reserve(50234);
0096
0097   constexpr Vec2d k{-2.0, 3.14};
0098   std::cout << k << std::endl;
0099   std::cout << k + k << std::endl;
0100   std::cout << k * k << std::endl;
0101   Vec3d x{2.0, 4.0, 5.0};
0102   Vec3d y{-3.0, 2.0, -5.0};
0103   std::cout << x << std::endl;
0104   std::cout << y << std::endl;
0105
0106   Vec2d x2 = xy(x);
0107   Vec2d y2 = xy(y);
0108   std::cout << x2 << std::endl;
0109   Vec2d xx2 = xy(x);
0110   std::cout << xx2 << std::endl;
0111   std::cout << y2 << std::endl;
0112
0113   std::cout << Vec2d(T(3.) * x2) << std::endl;
0114   std::cout << Vec2d(y2 * T(0.1)) << std::endl;
0115   std::cout << Vec2d(T(0.5) * (x2 + y2)) << std::endl;
0116   std::cout << apply(x2, [](T x) { return std::sqrt(x); }) << std::endl;
0117
0118   std::cout << dot(x2, y2) << " = 2?" << std::endl;
0119   std::cout << dot2(x2, y) << " = 2?" << std::endl;
0120   std::cout << dot2(x, y) << " = 2?" << std::endl;
0121
0122   T z = cross2(x2, y2);
0123   std::cout << z << " = 16?" << std::endl;
0124   z = cross2(x, y);
0125   std::cout << z << " = 16?" << std::endl;
0126
0127   std::cout << std::sqrt(z) << " = 4?" << std::endl;
0128 }
0129
0130 template <typename T>
0131 void go(bool dovec = true) {
0132   typedef Vec4<T> Vec;
0133   typedef Vec2<T> Vec2D;
0134
0135   std::cout << std::endl;
0136   std::cout << sizeof(Vec) << ' ' << alignof(Vec) << std::endl;
0137
0138   if (dovec) {
0139     std::vector<Vec> vec1;
0140     vec1.reserve(50);
0141     std::vector<T> vect(23);
0142     std::vector<Vec> vec2(53);
0143     std::vector<Vec> vec3;
0144     vec3.reserve(50234);
0145   }
0146
0147   constexpr Vec zero{0, 0, 0, 0};
0148   constexpr Vec x{2.0f, 4.0f, 5.0f};
0149   constexpr Vec y{-3.0f, 2.0f, -5.0f};
0150   Vec x0 = x[0] + zero;
0151   Vec4<float> f = convert<Vec4<float>>(x);
0152   Vec4<double> d = convert<Vec4<double>>(x);
0153   //constexpr Vec xx = T(3.3) + zero;  // clang 3.8 does not like it
0154   const Vec xx = T(3.3) + zero;
0155   std::cout << x << std::endl;
0156   std::cout << (Vec4<float>){float(x[0]), float(x[1]), float(x[2]), float(x[3])} << std::endl;
0157   std::cout << (Vec4<double>){x[0], x[1], x[2], x[3]} << std::endl;
0158   std::cout << f << std::endl;
0159   std::cout << d << std::endl;
0160   std::cout << -x << std::endl;
0161   std::cout << Vec{x[2]} << std::endl;
0162   //std::cout <<  Vec(x[2]) << std::endl;
0163   std::cout << x0 << std::endl;
0164   std::cout << xx << std::endl;
0165   std::cout << Vec{} + x[2] << std::endl;
0166   std::cout << y << std::endl;
0167   std::cout << T(3.) * x << std::endl;
0168   std::cout << y * T(0.1) << std::endl;
0169   std::cout << (T(1) - y * T(0.1)) << std::endl;
0170   std::cout << apply(x, [](T x) { return std::sqrt(x); }) << std::endl;
0171
0172   std::cout << dot(x, y) << std::endl;
0173   std::cout << dot3(x, y) << std::endl;
0174   std::cout << dotSimple(x, y) << std::endl;
0175
0176   //  std::cout << "equal" << (x==x ? " " : " not ") << "ok" << std::endl;
0177   // std::cout << "not equal" << (x==y ? " not " : " ") << "ok" << std::endl;
0178
0179   Vec z = cross3(x, y);
0180   std::cout << z << std::endl;
0181   std::cout << cross2(x, y) << std::endl;
0182
0183   std::cout << "\nrotations" << std::endl;
0184
0185   // constexpr T a = 0.01;
0186   constexpr T ca = 0.9999500004166653;    // std::cos(a);  clang does not support constepxr math functions....
0187   constexpr T sa = 0.009999833334166664;  // std::sin(a);
0188
0189   constexpr Rot3<T> r1(ca, sa, 0, -sa, ca, 0, 0, 0, 1);
0190
0191   constexpr Rot2<T> r21(ca, sa, -sa, ca);
0192
0193   constexpr Rot3<T> r2((Vec){0, 1, 0, 0}, (Vec){0, 0, 1, 0}, (Vec){1, 0, 0, 0});
0194   constexpr Rot2<T> r22((Vec2D){0, 1}, (Vec2D){1, 0});
0195
0196   {
0197     std::cout << "\n3D rot" << std::endl;
0198     /* constexpr */ Vec xr = r1.rotate(x);
0199     std::cout << x << std::endl;
0200     std::cout << xr << std::endl;
0201     std::cout << r1.rotateBack(xr) << std::endl;
0202
0203     Rot3<T> rt = r1.transpose();
0204     Vec xt = rt.rotate(xr);
0205     std::cout << x << std::endl;
0206     std::cout << xt << std::endl;
0207     std::cout << rt.rotateBack(xt) << std::endl;
0208
0209     std::cout << r1 << std::endl;
0210     std::cout << rt << std::endl;
0211     std::cout << r1 * rt << std::endl;
0212     std::cout << r2 << std::endl;
0213     std::cout << r1 * r2 << std::endl;
0214     std::cout << r2 * r1 << std::endl;
0215     std::cout << r1 * r2.transpose() << std::endl;
0216     std::cout << r1.transpose() * r2 << std::endl;
0217   }
0218
0219   {
0220     std::cout << "\n2D rot" << std::endl;
0221     Vec2D xr = r21.rotate(xy(x));
0222     std::cout << xy(x) << std::endl;
0223     std::cout << xr << std::endl;
0224     std::cout << r21.rotateBack(xr) << std::endl;
0225
0226     Rot2<T> rt = r21.transpose();
0227     Vec2D xt = rt.rotate(xr);
0228     std::cout << xy(x) << std::endl;
0229     std::cout << xt << std::endl;
0230     std::cout << rt.rotateBack(xt) << std::endl;
0231
0232     std::cout << r21 << std::endl;
0233     std::cout << rt << std::endl;
0234     std::cout << r21 * rt << std::endl;
0235     std::cout << r22 << std::endl;
0236     std::cout << r21 * r22 << std::endl;
0237     std::cout << r22 * r21 << std::endl;
0238     std::cout << r21 * r22.transpose() << std::endl;
0239     std::cout << r21.transpose() * r22 << std::endl;
0240   }
0241 }
0242
0243 int main() {
0244 #ifdef CMS_USE_AVX2
0245   std::cout << "using AVX" << std::endl;
0246 #endif
0247   testBa();
0248   go<float>();
0249 #ifdef CMS_USE_AVX2
0250   go<double>(false);
0251 #else
0252   go<double>();
0253 #endif
0254   go2d<float>();
0255   go2d<double>();
0256
0257   return 0;
0258 }