X-Git-Url: https://git.mxchange.org/?a=blobdiff_plain;f=simgear%2Fmath%2FSGVec4.hxx;h=6030c48ba03e2ea331b43442cebfd2df509fdf1b;hb=11479cd8c386d8bf7e1fee7bed60ab4abefc5fad;hp=296fad7c07f4a7d17fa44c36f518aca2e442c23d;hpb=9be14a63b1b593b02b5cc3e82edb7a266ae3cbe7;p=simgear.git diff --git a/simgear/math/SGVec4.hxx b/simgear/math/SGVec4.hxx index 296fad7c..6030c48b 100644 --- a/simgear/math/SGVec4.hxx +++ b/simgear/math/SGVec4.hxx @@ -1,4 +1,4 @@ -// Copyright (C) 2006 Mathias Froehlich - Mathias.Froehlich@web.de +// Copyright (C) 2006-2009 Mathias Froehlich - Mathias.Froehlich@web.de // // This library is free software; you can redistribute it and/or // modify it under the terms of the GNU Library General Public @@ -10,15 +10,19 @@ // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU // Library General Public License for more details. // -// You should have received a copy of the GNU Library General Public -// License along with this library; if not, write to the -// Free Software Foundation, Inc., 59 Temple Place - Suite 330, -// Boston, MA 02111-1307, USA. +// You should have received a copy of the GNU General Public License +// along with this program; if not, write to the Free Software +// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. // #ifndef SGVec4_H #define SGVec4_H +#ifndef NO_OPENSCENEGRAPH_INTERFACE +#include +#include +#endif + /// 4D Vector Class template class SGVec4 { @@ -34,82 +38,78 @@ public: /// uninitialized values in the debug build very fast ... #ifndef NDEBUG for (unsigned i = 0; i < 4; ++i) - _data[i] = SGLimits::quiet_NaN(); + data()[i] = SGLimits::quiet_NaN(); #endif } /// Constructor. Initialize by the given values SGVec4(T x, T y, T z, T w) - { _data[0] = x; _data[1] = y; _data[2] = z; _data[3] = w; } + { data()[0] = x; data()[1] = y; data()[2] = z; data()[3] = w; } /// Constructor. Initialize by the content of a plain array, /// make sure it has at least 3 elements explicit SGVec4(const T* d) - { _data[0] = d[0]; _data[1] = d[1]; _data[2] = d[2]; _data[3] = d[3]; } - + { data()[0] = d[0]; data()[1] = d[1]; data()[2] = d[2]; data()[3] = d[3]; } + template + explicit SGVec4(const SGVec4& d) + { data()[0] = d[0]; data()[1] = d[1]; data()[2] = d[2]; data()[3] = d[3]; } + explicit SGVec4(const SGVec3& v3, const T& v4 = 0) + { data()[0] = v3[0]; data()[1] = v3[1]; data()[2] = v3[2]; data()[3] = v4; } /// Access by index, the index is unchecked const T& operator()(unsigned i) const - { return _data[i]; } + { return data()[i]; } /// Access by index, the index is unchecked T& operator()(unsigned i) - { return _data[i]; } + { return data()[i]; } /// Access raw data by index, the index is unchecked const T& operator[](unsigned i) const - { return _data[i]; } + { return data()[i]; } /// Access raw data by index, the index is unchecked T& operator[](unsigned i) - { return _data[i]; } + { return data()[i]; } /// Access the x component const T& x(void) const - { return _data[0]; } + { return data()[0]; } /// Access the x component T& x(void) - { return _data[0]; } + { return data()[0]; } /// Access the y component const T& y(void) const - { return _data[1]; } + { return data()[1]; } /// Access the y component T& y(void) - { return _data[1]; } + { return data()[1]; } /// Access the z component const T& z(void) const - { return _data[2]; } + { return data()[2]; } /// Access the z component T& z(void) - { return _data[2]; } + { return data()[2]; } /// Access the x component const T& w(void) const - { return _data[3]; } + { return data()[3]; } /// Access the x component T& w(void) - { return _data[3]; } - - - /// Get the data pointer, usefull for interfacing with plib's sg*Vec - const T* data(void) const - { return _data; } - /// Get the data pointer, usefull for interfacing with plib's sg*Vec - T* data(void) - { return _data; } + { return data()[3]; } - /// Readonly interface function to ssg's sgVec3/sgdVec3 - const T (&sg(void) const)[4] + /// Readonly raw storage interface + const T (&data(void) const)[4] { return _data; } - /// Interface function to ssg's sgVec3/sgdVec3 - T (&sg(void))[4] + /// Readonly raw storage interface + T (&data(void))[4] { return _data; } /// Inplace addition SGVec4& operator+=(const SGVec4& v) - { _data[0]+=v(0);_data[1]+=v(1);_data[2]+=v(2);_data[3]+=v(3);return *this; } + { data()[0]+=v(0);data()[1]+=v(1);data()[2]+=v(2);data()[3]+=v(3);return *this; } /// Inplace subtraction SGVec4& operator-=(const SGVec4& v) - { _data[0]-=v(0);_data[1]-=v(1);_data[2]-=v(2);_data[3]-=v(3);return *this; } + { data()[0]-=v(0);data()[1]-=v(1);data()[2]-=v(2);data()[3]-=v(3);return *this; } /// Inplace scalar multiplication template SGVec4& operator*=(S s) - { _data[0] *= s; _data[1] *= s; _data[2] *= s; _data[3] *= s; return *this; } + { data()[0] *= s; data()[1] *= s; data()[2] *= s; data()[3] *= s; return *this; } /// Inplace scalar multiplication by 1/s template SGVec4& operator/=(S s) @@ -129,7 +129,6 @@ public: { return SGVec4(0, 0, 0, 1); } private: - /// The actual data T _data[4]; }; @@ -175,6 +174,79 @@ SGVec4 operator*(const SGVec4& v, S s) { return SGVec4(s*v(0), s*v(1), s*v(2), s*v(3)); } +/// multiplication as a multiplicator, that is assume that the first vector +/// represents a 4x4 diagonal matrix with the diagonal elements in the vector. +/// Then the result is the product of that matrix times the second vector. +template +inline +SGVec4 +mult(const SGVec4& v1, const SGVec4& v2) +{ return SGVec4(v1(0)*v2(0), v1(1)*v2(1), v1(2)*v2(2), v1(3)*v2(3)); } + +/// component wise min +template +inline +SGVec4 +min(const SGVec4& v1, const SGVec4& v2) +{ + return SGVec4(SGMisc::min(v1(0), v2(0)), + SGMisc::min(v1(1), v2(1)), + SGMisc::min(v1(2), v2(2)), + SGMisc::min(v1(3), v2(3))); +} +template +inline +SGVec4 +min(const SGVec4& v, S s) +{ + return SGVec4(SGMisc::min(s, v(0)), + SGMisc::min(s, v(1)), + SGMisc::min(s, v(2)), + SGMisc::min(s, v(3))); +} +template +inline +SGVec4 +min(S s, const SGVec4& v) +{ + return SGVec4(SGMisc::min(s, v(0)), + SGMisc::min(s, v(1)), + SGMisc::min(s, v(2)), + SGMisc::min(s, v(3))); +} + +/// component wise max +template +inline +SGVec4 +max(const SGVec4& v1, const SGVec4& v2) +{ + return SGVec4(SGMisc::max(v1(0), v2(0)), + SGMisc::max(v1(1), v2(1)), + SGMisc::max(v1(2), v2(2)), + SGMisc::max(v1(3), v2(3))); +} +template +inline +SGVec4 +max(const SGVec4& v, S s) +{ + return SGVec4(SGMisc::max(s, v(0)), + SGMisc::max(s, v(1)), + SGMisc::max(s, v(2)), + SGMisc::max(s, v(3))); +} +template +inline +SGVec4 +max(S s, const SGVec4& v) +{ + return SGVec4(SGMisc::max(s, v(0)), + SGMisc::max(s, v(1)), + SGMisc::max(s, v(2)), + SGMisc::max(s, v(3))); +} + /// Scalar dot product template inline @@ -204,12 +276,24 @@ T norm1(const SGVec4& v) { return fabs(v(0)) + fabs(v(1)) + fabs(v(2)) + fabs(v(3)); } +/// The inf-norm of the vector +template +inline +T +normI(const SGVec4& v) +{ return SGMisc::max(fabs(v(0)), fabs(v(1)), fabs(v(2)), fabs(v(2))); } + /// The euclidean norm of the vector, that is what most people call length template inline SGVec4 normalize(const SGVec4& v) -{ return (1/norm(v))*v; } +{ + T normv = norm(v); + if (normv <= SGLimits::min()) + return SGVec4::zeros(); + return (1/normv)*v; +} /// Return true if exactly the same template @@ -225,6 +309,47 @@ bool operator!=(const SGVec4& v1, const SGVec4& v2) { return ! (v1 == v2); } +/// Return true if smaller, good for putting that into a std::map +template +inline +bool +operator<(const SGVec4& v1, const SGVec4& v2) +{ + if (v1(0) < v2(0)) return true; + else if (v2(0) < v1(0)) return false; + else if (v1(1) < v2(1)) return true; + else if (v2(1) < v1(1)) return false; + else if (v1(2) < v2(2)) return true; + else if (v2(2) < v1(2)) return false; + else return (v1(3) < v2(3)); +} + +template +inline +bool +operator<=(const SGVec4& v1, const SGVec4& v2) +{ + if (v1(0) < v2(0)) return true; + else if (v2(0) < v1(0)) return false; + else if (v1(1) < v2(1)) return true; + else if (v2(1) < v1(1)) return false; + else if (v1(2) < v2(2)) return true; + else if (v2(2) < v1(2)) return false; + else return (v1(3) <= v2(3)); +} + +template +inline +bool +operator>(const SGVec4& v1, const SGVec4& v2) +{ return operator<(v2, v1); } + +template +inline +bool +operator>=(const SGVec4& v1, const SGVec4& v2) +{ return operator<=(v2, v1); } + /// Return true if equal to the relative tolerance tol template inline @@ -249,6 +374,32 @@ equivalent(const SGVec4& v1, const SGVec4& v2) return equivalent(v1, v2, tol, tol); } +/// The euclidean distance of the two vectors +template +inline +T +dist(const SGVec4& v1, const SGVec4& v2) +{ return norm(v1 - v2); } + +/// The squared euclidean distance of the two vectors +template +inline +T +distSqr(const SGVec4& v1, const SGVec4& v2) +{ SGVec4 tmp = v1 - v2; return dot(tmp, tmp); } + +// calculate the projection of u along the direction of d. +template +inline +SGVec4 +projection(const SGVec4& u, const SGVec4& d) +{ + T denom = dot(d, d); + T ud = dot(u, d); + if (SGLimits::min() < denom) return u; + else return d * (dot(u, d) / denom); +} + #ifndef NDEBUG template inline @@ -267,10 +418,6 @@ std::basic_ostream& operator<<(std::basic_ostream& s, const SGVec4& v) { return s << "[ " << v(0) << ", " << v(1) << ", " << v(2) << ", " << v(3) << " ]"; } -/// Two classes doing actually the same on different types -typedef SGVec4 SGVec4f; -typedef SGVec4 SGVec4d; - inline SGVec4f toVec4f(const SGVec4d& v) @@ -281,4 +428,26 @@ SGVec4d toVec4d(const SGVec4f& v) { return SGVec4d(v(0), v(1), v(2), v(3)); } +#ifndef NO_OPENSCENEGRAPH_INTERFACE +inline +SGVec4d +toSG(const osg::Vec4d& v) +{ return SGVec4d(v[0], v[1], v[2], v[3]); } + +inline +SGVec4f +toSG(const osg::Vec4f& v) +{ return SGVec4f(v[0], v[1], v[2], v[3]); } + +inline +osg::Vec4d +toOsg(const SGVec4d& v) +{ return osg::Vec4d(v[0], v[1], v[2], v[3]); } + +inline +osg::Vec4f +toOsg(const SGVec4f& v) +{ return osg::Vec4f(v[0], v[1], v[2], v[3]); } +#endif + #endif