429 lines
11 KiB
C++
429 lines
11 KiB
C++
/*
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* This file is part of libgim.
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*
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* libgim is free software: you can redistribute it and/or modify it under the
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* terms of the GNU General Public License as published by the Free Software
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* Foundation, either version 3 of the License, or (at your option) any later
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* version.
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*
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* libgim is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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* details.
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*
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* You should have received a copy of the GNU General Public License
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* along with libgim. If not, see <http://www.gnu.org/licenses/>.
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*
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* Copyright 2011 Danny Robson <danny@nerdcruft.net>
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*/
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#include "vector.hpp"
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#include "debug.hpp"
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#include "maths.hpp"
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#include "random.hpp"
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#include <algorithm>
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#include <cmath>
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#include <limits>
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#include <numeric>
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#if defined(COMPILER_GCC)
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#pragma GCC optimize("-O3")
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#endif
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//-----------------------------------------------------------------------------
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using namespace util;
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using std::begin;
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using std::end;
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>::vector ()
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{ ; }
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator* (double rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] * rhs;
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator*= (double rhs) {
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for (double &i: this->data)
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i *= rhs;
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return *this;
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}
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator* (const util::vector<S> &rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] * rhs.data[i];
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator*= (const util::vector<S> &rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] *= rhs.data[i];
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return *this;
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator/ (double rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] / rhs;
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator/= (double rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] /= rhs;
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return *this;
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator+ (const util::vector<S> &rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] + rhs.data[i];
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return out;
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}
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator+ (double rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] + rhs;
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator+= (const util::vector<S> &rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] += rhs.data[i];
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return *this;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator+= (double rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] += rhs;
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return *this;
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator- (void) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = -this->data[i];
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return out;
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}
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator- (const util::vector<S> &rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] - rhs.data[i];
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator-= (const util::vector<S> &rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] -= rhs.data[i];
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return *this;
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}
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template <size_t S>
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util::vector<S>
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util::vector<S>::operator- (double rhs) const {
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] - rhs;
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return out;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator-= (double rhs) {
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for (size_t i = 0; i < S; ++i)
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this->data[i] -= rhs;
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return *this;
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>&
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util::vector<S>::operator= (const util::vector<S> &rhs) {
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std::copy (begin (rhs.data), end (rhs.data), begin (this->data));
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return *this;
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}
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template <size_t S>
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bool
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util::vector<S>::operator== (const util::vector<S> &rhs) const {
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for (size_t i = 0; i < S; ++i)
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if (!almost_equal (this->data[i], rhs.data[i]))
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return false;
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return true;
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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double
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util::vector<S>::magnitude (void) const {
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return sqrt (magnitude2 ());
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}
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template <size_t S>
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double
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util::vector<S>::magnitude2 (void) const {
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double total = 0.0;
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for (size_t i = 0; i < S; ++i)
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total += pow2 (this->data[i]);
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return total;
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}
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template <size_t S>
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util::vector<S>&
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util::vector<S>::normalise (void) {
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double mag = magnitude ();
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for (size_t i = 0; i < S; ++i)
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this->data[i] /= mag;
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return *this;
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}
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template <size_t S>
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util::vector<S>
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util::vector<S>::normalised (void) const {
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double mag = magnitude ();
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util::vector<S> out;
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for (size_t i = 0; i < S; ++i)
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out.data[i] = this->data[i] / mag;
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return out;
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}
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//-----------------------------------------------------------------------------
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util::vector<2>
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util::polar_to_cartesian (const util::vector<2> &v) {
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return util::vector<2> {
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v.r * std::cos (v.t),
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v.r * std::sin (v.t)
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};
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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double
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util::vector<S>::dot (const util::vector<S> &rhs) const {
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double total = 0.0;
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for (size_t i = 0; i < S; ++i)
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total += this->data[i] * rhs.data[i];
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return total;
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}
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util::vector<3>
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util::cross (const util::vector<3> &a, const util::vector<3> &b) {
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return util::vector<3> {
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a.y * b.z - a.z * b.y,
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a.z * b.x - a.x * b.z,
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a.x * b.y - a.y * b.x
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};
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}
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//-----------------------------------------------------------------------------
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util::vector<3>
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util::spherical_to_cartesian (const util::vector<3> &s) {
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return util::vector<3> {
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s.x * sin (s.y) * cos (s.z),
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s.x * sin (s.y) * sin (s.z),
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s.x * cos (s.y),
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};
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}
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util::vector<3>
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util::cartesian_to_spherical (const util::vector<3> &c) {
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double mag = c.magnitude ();
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return util::vector<3> {
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mag,
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acos (c.z / mag),
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atan2 (c.y, c.x)
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};
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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bool
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util::vector<S>::is_zero (void) const {
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return std::all_of (begin (this->data),
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end (this->data),
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[] (double i) { return almost_zero (i); });
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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void
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util::vector<S>::sanity (void) const {
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CHECK_SOFT (std::all_of (begin (this->data),
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end (this->data),
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[] (double i) { return !std::isnan (i); }));
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}
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//-----------------------------------------------------------------------------
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template <size_t S>
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util::vector<S>
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util::operator* (double a, const util::vector<S> &b)
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{ return b * a; }
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template util::vector<1> util::operator* (double, const util::vector<1>&);
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template util::vector<2> util::operator* (double, const util::vector<2>&);
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template util::vector<3> util::operator* (double, const util::vector<3>&);
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template <size_t S>
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util::vector<S>
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util::operator+ (double a, const util::vector<S> &b)
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{ return b + a; }
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template util::vector<1> util::operator+ (double, const util::vector<1>&);
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template util::vector<2> util::operator+ (double, const util::vector<2>&);
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template util::vector<3> util::operator+ (double, const util::vector<3>&);
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template <size_t S>
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util::vector<S>
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util::operator- (double a, const util::vector<S> &b)
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{ return a + (-b); }
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template util::vector<1> util::operator- (double, const util::vector<1>&);
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template util::vector<2> util::operator- (double, const util::vector<2>&);
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template util::vector<3> util::operator- (double, const util::vector<3>&);
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//-----------------------------------------------------------------------------
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template <size_t S>
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std::ostream&
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util::operator<< (std::ostream &os, const util::vector<S> &v) {
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os << "vec" << S << "(" << v.data[0];
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for (size_t i = 1; i < S; ++i)
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os << ", " << v.data[i];
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os << ")";
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return os;
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}
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template std::ostream& util::operator<< (std::ostream&, const util::vector<1> &v);
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template std::ostream& util::operator<< (std::ostream&, const util::vector<2> &v);
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template std::ostream& util::operator<< (std::ostream&, const util::vector<3> &v);
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//-----------------------------------------------------------------------------
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template <size_t S>
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const json::node&
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util::operator>> (const json::node &node, util::vector<S> &v) {
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const json::array &array = node.as_array ();
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if (array.size () != S)
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throw std::runtime_error ("Invalid dimensionality for json-to-vector");
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// XXX: This used to be a std::transform but gcc 4.9.0 hit an internal
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// compiler error at this point in release mode, so we dumb it down a
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// little.
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for (size_t i = 0; i < array.size (); ++i)
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v.data[i] = array[i].as_number ().native ();
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return node;
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}
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template const json::node& util::operator>> (const json::node&, util::vector<1>&);
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template const json::node& util::operator>> (const json::node&, util::vector<2>&);
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template const json::node& util::operator>> (const json::node&, util::vector<3>&);
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//-----------------------------------------------------------------------------
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template struct util::vector<1>;
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template struct util::vector<2>;
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template struct util::vector<3>;
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//-----------------------------------------------------------------------------
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namespace util {
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template <> vector<1> random (void) { util::vector<1> out; randomise (out.data); return out; }
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template <> vector<2> random (void) { util::vector<2> out; randomise (out.data); return out; }
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template <> vector<3> random (void) { util::vector<3> out; randomise (out.data); return out; }
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}
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