// // KRVector3.cpp // KREngine // // Copyright 2012 Kearwood Gilbert. All rights reserved. // // Redistribution and use in source and binary forms, with or without modification, are // permitted provided that the following conditions are met: // // 1. Redistributions of source code must retain the above copyright notice, this list of // conditions and the following disclaimer. // // 2. Redistributions in binary form must reproduce the above copyright notice, this list // of conditions and the following disclaimer in the documentation and/or other materials // provided with the distribution. // // THIS SOFTWARE IS PROVIDED BY KEARWOOD GILBERT ''AS IS'' AND ANY EXPRESS OR IMPLIED // WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND // FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL KEARWOOD GILBERT OR // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR // SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON // ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF // ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // // The views and conclusions contained in the software and documentation are those of the // authors and should not be interpreted as representing official policies, either expressed // or implied, of Kearwood Gilbert. // #include "KREngine-common.h" #include "KRVector3.h" #include "tinyxml2.h" //default constructor KRVector3::KRVector3() { x = 0.0f; y = 0.0f; z = 0.0f; } KRVector3::KRVector3(const KRVector3 &v) { x = v.x; y = v.y; z = v.z; } KRVector3::KRVector3(const KRVector4 &v) { x = v.x; y = v.y; z = v.z; } KRVector3::KRVector3(float *v) { x = v[0]; y = v[1]; z = v[2]; } KRVector3::KRVector3(double *v) { x = (float)v[0]; y = (float)v[1]; z = (float)v[2]; } KRVector3 KRVector3::Min() { return KRVector3(-std::numeric_limits::max()); } KRVector3 KRVector3::Max() { return KRVector3(std::numeric_limits::max()); } KRVector3 KRVector3::Zero() { return KRVector3(0.0f, 0.0f, 0.0f); } KRVector3 KRVector3::One() { return KRVector3(1.0f, 1.0f, 1.0f); } KRVector3 KRVector3::Forward() { return KRVector3(0.0f, 0.0f, 1.0f); } KRVector3 KRVector3::Backward() { return KRVector3(0.0f, 0.0f, -1.0f); } KRVector3 KRVector3::Up() { return KRVector3(0.0f, 1.0f, 0.0f); } KRVector3 KRVector3::Down() { return KRVector3(0.0f, -1.0f, 0.0f); } KRVector3 KRVector3::Left() { return KRVector3(-1.0f, 0.0f, 0.0f); } KRVector3 KRVector3::Right() { return KRVector3(1.0f, 0.0f, 0.0f); } void KRVector3::scale(const KRVector3 &v) { x *= v.x; y *= v.y; z *= v.z; } KRVector3 KRVector3::Scale(const KRVector3 &v1, const KRVector3 &v2) { return KRVector3(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z); } KRVector3 KRVector3::Lerp(const KRVector3 &v1, const KRVector3 &v2, float d) { return v1 + (v2 - v1) * d; } KRVector3 KRVector3::Slerp(const KRVector3 &v1, const KRVector3 &v2, float d) { // From: http://keithmaggio.wordpress.com/2011/02/15/math-magician-lerp-slerp-and-nlerp/ // Dot product - the cosine of the angle between 2 vectors. float dot = KRVector3::Dot(v1, v2); // Clamp it to be in the range of Acos() if(dot < -1.0f) dot = -1.0f; if(dot > 1.0f) dot = 1.0f; // Acos(dot) returns the angle between start and end, // And multiplying that by percent returns the angle between // start and the final result. float theta = acos(dot)*d; KRVector3 RelativeVec = v2 - v1*dot; RelativeVec.normalize(); // Orthonormal basis // The final result. return ((v1*cos(theta)) + (RelativeVec*sin(theta))); } void KRVector3::OrthoNormalize(KRVector3 &normal, KRVector3 &tangent) { // Gram-Schmidt Orthonormalization normal.normalize(); KRVector3 proj = normal * Dot(tangent, normal); tangent = tangent - proj; tangent.normalize(); } KRVector3::KRVector3(float v) { x = v; y = v; z = v; } KRVector3::KRVector3(float X, float Y, float Z) { x = X; y = Y; z = Z; } KRVector3::~KRVector3() { } KRVector3& KRVector3::operator =(const KRVector3& b) { x = b.x; y = b.y; z = b.z; return *this; } KRVector3& KRVector3::operator =(const KRVector4 &b) { x = b.x; y = b.y; z = b.z; return *this; } KRVector3 KRVector3::operator +(const KRVector3& b) const { return KRVector3(x + b.x, y + b.y, z + b.z); } KRVector3 KRVector3::operator -(const KRVector3& b) const { return KRVector3(x - b.x, y - b.y, z - b.z); } KRVector3 KRVector3::operator +() const { return *this; } KRVector3 KRVector3::operator -() const { return KRVector3(-x, -y, -z); } KRVector3 KRVector3::operator *(const float v) const { return KRVector3(x * v, y * v, z * v); } KRVector3 KRVector3::operator /(const float v) const { float inv_v = 1.0f / v; return KRVector3(x * inv_v, y * inv_v, z * inv_v); } KRVector3& KRVector3::operator +=(const KRVector3& b) { x += b.x; y += b.y; z += b.z; return *this; } KRVector3& KRVector3::operator -=(const KRVector3& b) { x -= b.x; y -= b.y; z -= b.z; return *this; } KRVector3& KRVector3::operator *=(const float v) { x *= v; y *= v; z *= v; return *this; } KRVector3& KRVector3::operator /=(const float v) { float inv_v = 1.0f / v; x *= inv_v; y *= inv_v; z *= inv_v; return *this; } bool KRVector3::operator ==(const KRVector3& b) const { return x == b.x && y == b.y && z == b.z; } bool KRVector3::operator !=(const KRVector3& b) const { return x != b.x || y != b.y || z != b.z; } float& KRVector3::operator[](unsigned i) { switch(i) { case 0: return x; case 1: return y; default: case 2: return z; } } float KRVector3::operator[](unsigned i) const { switch(i) { case 0: return x; case 1: return y; case 2: default: return z; } } float KRVector3::sqrMagnitude() const { // calculate the square of the magnitude (useful for comparison of magnitudes without the cost of a sqrt() function) return x * x + y * y + z * z; } float KRVector3::magnitude() const { return sqrtf(x * x + y * y + z * z); } void KRVector3::normalize() { float inv_magnitude = 1.0f / sqrtf(x * x + y * y + z * z); x *= inv_magnitude; y *= inv_magnitude; z *= inv_magnitude; } KRVector3 KRVector3::Normalize(const KRVector3 &v) { float inv_magnitude = 1.0f / sqrtf(v.x * v.x + v.y * v.y + v.z * v.z); return KRVector3(v.x * inv_magnitude, v.y * inv_magnitude, v.z * inv_magnitude); } KRVector3 KRVector3::Cross(const KRVector3 &v1, const KRVector3 &v2) { return KRVector3(v1.y * v2.z - v1.z * v2.y, v1.z * v2.x - v1.x * v2.z, v1.x * v2.y - v1.y * v2.x); } float KRVector3::Dot(const KRVector3 &v1, const KRVector3 &v2) { return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z; } bool KRVector3::operator >(const KRVector3& b) const { // Comparison operators are implemented to allow insertion into sorted containers such as std::set if(x > b.x) { return true; } else if(x < b.x) { return false; } else if(y > b.y) { return true; } else if(y < b.y) { return false; } else if(z > b.z) { return true; } else { return false; } } bool KRVector3::operator <(const KRVector3& b) const { // Comparison operators are implemented to allow insertion into sorted containers such as std::set if(x < b.x) { return true; } else if(x > b.x) { return false; } else if(y < b.y) { return true; } else if(y > b.y) { return false; } else if(z < b.z) { return true; } else { return false; } } void KRVector3::setUniform(GLint location) const { if(location != -1) GLDEBUG(glUniform3f(location, x, y, z)); } void KRVector3::setXMLAttribute(const std::string &base_name, tinyxml2::XMLElement *e) { // TODO - Increase number of digits after the decimal in floating point format (6 -> 12?) // FINDME, TODO - This needs optimization... e->SetAttribute((base_name + "_x").c_str(), x); e->SetAttribute((base_name + "_y").c_str(), y); e->SetAttribute((base_name + "_z").c_str(), z); } void KRVector3::getXMLAttribute(const std::string &base_name, tinyxml2::XMLElement *e, const KRVector3 &default_value) { float new_x,new_y,new_z; if(e->QueryFloatAttribute((base_name + "_x").c_str(), &new_x) == tinyxml2::XML_SUCCESS && e->QueryFloatAttribute((base_name + "_y").c_str(), &new_y) == tinyxml2::XML_SUCCESS && e->QueryFloatAttribute((base_name + "_z").c_str(), &new_z) == tinyxml2::XML_SUCCESS) { x = new_x; y = new_y; z = new_z; } else { *this = default_value; } }