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https://gitee.com/mirrors_PX4/PX4-Autopilot.git
synced 2026-07-02 18:00:35 +08:00
mathlib: fixes and improvements, WIP
This commit is contained in:
@@ -34,9 +34,9 @@
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****************************************************************************/
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/**
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* @file Matrix3.hpp
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* @file Matrix.hpp
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*
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* 3x3 Matrix
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* Generic Matrix
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*/
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#ifndef MATRIX_HPP
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@@ -203,6 +203,24 @@ public:
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return res;
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}
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/**
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* transpose the matrix
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*/
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Matrix<N, M> transposed(void) const {
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Matrix<N, M> res;
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arm_mat_trans_f32(&this->arm_mat, &res.arm_mat);
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return res;
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}
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/**
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* invert the matrix
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*/
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Matrix<M, N> inversed(void) const {
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Matrix<M, N> res;
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arm_mat_inverse_f32(&this->arm_mat, &res.arm_mat);
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return res;
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}
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/**
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* setup the identity matrix
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*/
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@@ -224,6 +242,8 @@ public:
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template <unsigned int M, unsigned int N>
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class Matrix : public MatrixBase<M, N> {
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public:
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using MatrixBase<M, N>::operator *;
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/**
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* set to value
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*/
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@@ -235,18 +255,18 @@ public:
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/**
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* multiplication by a vector
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*/
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/*
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Vector<N> operator *(const Vector<N> &v) const {
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Vector<M> res;
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arm_mat_mult_f32(&this->arm_mat, &v.arm_col, &res.arm_col);
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return res;
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}
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*/
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};
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template <>
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class Matrix<3, 3> : public MatrixBase<3, 3> {
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public:
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using MatrixBase<3, 3>::operator *;
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/**
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* set to value
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*/
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@@ -258,15 +278,11 @@ public:
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/**
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* multiplication by a vector
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*/
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/*
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Vector<3> operator *(const Vector<3> &v) const {
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Vector<3> res;
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res(0) = data[0][0] * v(0) + data[0][1] * v(1) + data[0][2] * v(2);
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res(1) = data[1][0] * v(0) + data[1][1] * v(1) + data[1][2] * v(2);
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res(2) = data[2][0] * v(0) + data[2][1] * v(1) + data[2][2] * v(2);
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return res;
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return Vector<3>(data[0][0] * v.data[0] + data[0][1] * v.data[1] + data[0][2] * v.data[2],
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data[1][0] * v.data[0] + data[1][1] * v.data[1] + data[1][2] * v.data[2],
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data[2][0] * v.data[0] + data[2][1] * v.data[1] + data[2][2] * v.data[2]);
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}
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*/
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};
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}
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@@ -74,14 +74,15 @@ public:
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* setting ctor
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*/
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Matrix3<T>(const T d[3][3]) {
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memcpy(data, d, sizeof(data));
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arm_mat = {3, 3, &data[0][0]};
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memcpy(data, d, sizeof(data));
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}
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/**
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* setting ctor
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*/
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Matrix3<T>(const T ax, const T ay, const T az, const T bx, const T by, const T bz, const T cx, const T cy, const T cz) {
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arm_mat = {3, 3, &data[0][0]};
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data[0][0] = ax;
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data[0][1] = ay;
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data[0][2] = az;
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@@ -91,7 +92,6 @@ public:
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data[2][0] = cx;
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data[2][1] = cy;
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data[2][2] = cz;
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arm_mat = {3, 3, &data[0][0]};
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}
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/**
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@@ -124,6 +124,14 @@ public:
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return data[row][col];
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}
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/**
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* set to value
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*/
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const Matrix3<T> &operator =(const Matrix3<T> &m) {
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memcpy(data, m.data, sizeof(data));
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return *this;
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}
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/**
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* test for equality
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*/
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@@ -49,7 +49,7 @@ namespace math
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{
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template <unsigned int N>
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class Vector {
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class VectorBase {
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public:
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float data[N];
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arm_matrix_instance_f32 arm_col;
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@@ -57,15 +57,22 @@ public:
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/**
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* trivial ctor
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*/
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Vector<N>() {
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VectorBase<N>() {
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arm_col = {N, 1, &data[0]};
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}
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/**
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* setting ctor
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*/
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Vector<N>(const float *d) {
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memcpy(data, d, sizeof(data));
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// VectorBase<N>(const float *d) {
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// memcpy(data, d, sizeof(data));
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//arm_col = {N, 1, &data[0]};
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//}
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/**
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* setting ctor
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*/
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VectorBase<N>(const float d[]) : data(d) {
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arm_col = {N, 1, &data[0]};
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}
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@@ -86,7 +93,7 @@ public:
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/**
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* test for equality
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*/
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bool operator ==(const Vector<N> &v) {
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bool operator ==(const VectorBase<N> &v) {
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for (unsigned int i = 0; i < N; i++)
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if (data[i] != v(i))
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return false;
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@@ -96,7 +103,7 @@ public:
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/**
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* test for inequality
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*/
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bool operator !=(const Vector<N> &v) {
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bool operator !=(const VectorBase<N> &v) {
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for (unsigned int i = 0; i < N; i++)
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if (data[i] != v(i))
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return true;
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@@ -106,7 +113,7 @@ public:
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/**
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* set to value
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*/
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const Vector<N> &operator =(const Vector<N> &v) {
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const VectorBase<N> &operator =(const VectorBase<N> &v) {
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memcpy(data, v.data, sizeof(data));
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return *this;
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}
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@@ -114,8 +121,8 @@ public:
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/**
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* negation
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*/
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const Vector<N> operator -(void) const {
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Vector<N> res;
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const VectorBase<N> operator -(void) const {
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VectorBase<N> res;
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for (unsigned int i = 0; i < N; i++)
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res[i] = -data[i];
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return res;
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@@ -124,8 +131,8 @@ public:
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/**
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* addition
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*/
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const Vector<N> operator +(const Vector<N> &v) const {
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Vector<N> res;
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const VectorBase<N> operator +(const VectorBase<N> &v) const {
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VectorBase<N> res;
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for (unsigned int i = 0; i < N; i++)
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res[i] = data[i] + v(i);
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return res;
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@@ -134,8 +141,8 @@ public:
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/**
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* subtraction
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*/
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const Vector<N> operator -(const Vector<N> &v) const {
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Vector<N> res;
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const VectorBase<N> operator -(const VectorBase<N> &v) const {
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VectorBase<N> res;
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for (unsigned int i = 0; i < N; i++)
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res[i] = data[i] - v(i);
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return res;
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@@ -144,23 +151,23 @@ public:
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/**
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* uniform scaling
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*/
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const Vector<N> operator *(const float num) const {
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Vector<N> temp(*this);
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const VectorBase<N> operator *(const float num) const {
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VectorBase<N> temp(*this);
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return temp *= num;
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}
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/**
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* uniform scaling
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*/
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const Vector<N> operator /(const float num) const {
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Vector<N> temp(*this);
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const VectorBase<N> operator /(const float num) const {
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VectorBase<N> temp(*this);
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return temp /= num;
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}
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/**
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* addition
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*/
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const Vector<N> &operator +=(const Vector<N> &v) {
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const VectorBase<N> &operator +=(const VectorBase<N> &v) {
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for (unsigned int i = 0; i < N; i++)
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data[i] += v(i);
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return *this;
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@@ -169,7 +176,7 @@ public:
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/**
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* subtraction
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*/
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const Vector<N> &operator -=(const Vector<N> &v) {
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const VectorBase<N> &operator -=(const VectorBase<N> &v) {
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for (unsigned int i = 0; i < N; i++)
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data[i] -= v(i);
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return *this;
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@@ -178,7 +185,7 @@ public:
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/**
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* uniform scaling
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*/
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const Vector<N> &operator *=(const float num) {
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const VectorBase<N> &operator *=(const float num) {
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for (unsigned int i = 0; i < N; i++)
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data[i] *= num;
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return *this;
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@@ -187,7 +194,7 @@ public:
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/**
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* uniform scaling
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*/
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const Vector<N> &operator /=(const float num) {
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const VectorBase<N> &operator /=(const float num) {
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for (unsigned int i = 0; i < N; i++)
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data[i] /= num;
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return *this;
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@@ -196,7 +203,7 @@ public:
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/**
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* dot product
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*/
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float operator *(const Vector<N> &v) const {
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float operator *(const VectorBase<N> &v) const {
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float res;
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for (unsigned int i = 0; i < N; i++)
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res += data[i] * v(i);
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@@ -227,11 +234,48 @@ public:
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/**
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* returns the normalized version of this vector
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*/
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Vector<N> normalized() const {
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VectorBase<N> normalized() const {
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return *this / length();
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}
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};
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template <unsigned int N>
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class Vector : public VectorBase<N> {
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public:
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/**
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* set to value
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*/
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const Vector<N> &operator =(const Vector<N> &v) {
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memcpy(this->data, v.data, sizeof(this->data));
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return *this;
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}
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};
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template <>
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class Vector<3> : public VectorBase<3> {
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public:
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Vector<3>() {
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arm_col = {3, 1, &this->data[0]};
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}
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Vector<3>(const float x, const float y, const float z) {
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data[0] = x;
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data[1] = y;
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data[2] = z;
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arm_col = {3, 1, &this->data[0]};
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}
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/**
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* set to value
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*/
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const Vector<3> &operator =(const Vector<3> &v) {
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data[0] = v.data[0];
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data[1] = v.data[1];
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data[2] = v.data[2];
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return *this;
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}
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};
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}
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#endif // VECTOR_HPP
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@@ -58,15 +58,31 @@ int test_mathlib(int argc, char *argv[])
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{
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warnx("testing mathlib");
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Matrix3f m;
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m.identity();
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Matrix3f m1;
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Matrix<3,3> mq;
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mq.identity();
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Matrix<3,3> mq1;
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m1(0, 0) = 5.0;
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Vector3f v = Vector3f(1.0f, 2.0f, 3.0f);
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Vector3f v1;
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Matrix<3,3> m3;
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m3.identity();
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Matrix<4,4> m4;
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m4.identity();
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Vector<3> v3;
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v3(0) = 1.0f;
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v3(1) = 2.0f;
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v3(2) = 3.0f;
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Vector<4> v4;
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v4(0) = 1.0f;
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v4(1) = 2.0f;
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v4(2) = 3.0f;
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v4(3) = 4.0f;
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Vector<3> vres3;
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Matrix<3,3> mres3;
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Matrix<4,4> mres4;
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Matrix3f m3old;
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m3old.identity();
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Vector3f v3old;
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v3old.x = 1.0f;
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v3old.y = 2.0f;
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v3old.z = 3.0f;
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Vector3f vres3old;
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Matrix3f mres3old;
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unsigned int n = 60000;
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@@ -74,41 +90,51 @@ int test_mathlib(int argc, char *argv[])
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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v1 = m * v;
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vres3 = m3 * v3;
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}
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t1 = hrt_absolute_time();
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warnx("Matrix * Vector: %s %.6fus", formatResult(v1 == v), (double)(t1 - t0) / n);
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warnx("Matrix3 * Vector3: %s %.6fus", formatResult(vres3 == v3), (double)(t1 - t0) / n);
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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mq1 = mq * mq;
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vres3old = m3old * v3old;
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}
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t1 = hrt_absolute_time();
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warnx("Matrix * Matrix: %s %.6fus", formatResult(mq1 == mq), (double)(t1 - t0) / n);
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mq1.dump();
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warnx("Matrix3 * Vector3 OLD: %s %.6fus", formatResult(vres3old == v3old), (double)(t1 - t0) / n);
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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m1 = m.transposed();
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mres3 = m3 * m3;
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}
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t1 = hrt_absolute_time();
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warnx("Matrix Transpose: %s %.6fus", formatResult(m1 == m), (double)(t1 - t0) / n);
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warnx("Matrix3 * Matrix3: %s %.6fus", formatResult(mres3 == m3), (double)(t1 - t0) / n);
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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m1 = m.inversed();
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mres3old = m3old * m3old;
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}
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t1 = hrt_absolute_time();
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warnx("Matrix Invert: %s %.6fus", formatResult(m1 == m), (double)(t1 - t0) / n);
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warnx("Matrix3 * Matrix3 OLD: %s %.6fus", formatResult(mres3old == m3old), (double)(t1 - t0) / n);
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Matrix<4,4> mn;
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mn(0, 0) = 2.0f;
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mn(1, 0) = 3.0f;
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for (int i = 0; i < mn.getRows(); i++) {
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for (int j = 0; j < mn.getCols(); j++) {
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printf("%.3f ", mn(i, j));
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}
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printf("\n");
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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mres4 = m4 * m4;
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}
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t1 = hrt_absolute_time();
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warnx("Matrix4 * Matrix4: %s %.6fus", formatResult(mres4 == m4), (double)(t1 - t0) / n);
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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mres3 = m3.transposed();
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}
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t1 = hrt_absolute_time();
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warnx("Matrix3 Transpose: %s %.6fus", formatResult(mres3 == m3), (double)(t1 - t0) / n);
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t0 = hrt_absolute_time();
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for (unsigned int j = 0; j < n; j++) {
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mres3 = m3.inversed();
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}
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t1 = hrt_absolute_time();
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warnx("Matrix3 Invert: %s %.6fus", formatResult(mres3 == m3), (double)(t1 - t0) / n);
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return 0;
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}
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