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PlanarForce.hpp
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PlanarForce.hpp
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// Copyright © 2020-2024 Alexandre Coderre-Chabot
//
// This file is part of Physical Quantities (PhQ), a C++ library of physical quantities, physical
// models, and units of measure for scientific computing.
//
// Physical Quantities is hosted at:
// https://github.com/acodcha/phq
//
// Physical Quantities is licensed under the MIT License:
// https://mit-license.org
//
// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and
// associated documentation files (the "Software"), to deal in the Software without restriction,
// including without limitation the rights to use, copy, modify, merge, publish, distribute,
// sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// - The above copyright notice and this permission notice shall be included in all copies or
// substantial portions of the Software.
// - THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
// BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
#ifndef PHQ_PLANAR_FORCE_HPP
#define PHQ_PLANAR_FORCE_HPP
#include <array>
#include <cstddef>
#include <functional>
#include <ostream>
#include "Angle.hpp"
#include "DimensionalPlanarVector.hpp"
#include "PlanarDirection.hpp"
#include "PlanarVector.hpp"
#include "ScalarForce.hpp"
#include "Unit/Force.hpp"
namespace PhQ {
// Forward declaration for class PhQ::PlanarForce.
template <typename NumericType>
class PlanarTraction;
/// \brief Two-dimensional Euclidean force vector in the XY plane. Contains two components in
/// Cartesian coordinates: x and y. For a three-dimensional Euclidean force vector, see PhQ::Force.
/// For scalar force components or for the magnitude of a force vector, see PhQ::ScalarForce.
template <typename NumericType = double>
class PlanarForce : public DimensionalPlanarVector<Unit::Force, NumericType> {
public:
/// \brief Default constructor. Constructs a planar force vector with an uninitialized value.
PlanarForce() = default;
/// \brief Constructor. Constructs a planar force vector with a given value expressed in a given
/// force unit.
PlanarForce(const PlanarVector<NumericType>& value, const Unit::Force unit)
: DimensionalPlanarVector<Unit::Force, NumericType>(value, unit) {}
/// \brief Constructor. Constructs a planar force vector from a given set of scalar force
/// components.
PlanarForce(const ScalarForce<NumericType>& x, const ScalarForce<NumericType>& y)
: PlanarForce<NumericType>({x.Value(), y.Value()}) {}
/// \brief Constructor. Constructs a planar force vector from a given scalar force magnitude and
/// planar direction.
constexpr PlanarForce(const ScalarForce<NumericType>& scalar_force,
const PlanarDirection<NumericType>& planar_direction)
: PlanarForce<NumericType>(scalar_force.Value() * planar_direction.Value()) {}
/// \brief Constructor. Constructs a planar force vector from a given force vector by projecting
/// the force vector onto the XY plane.
explicit constexpr PlanarForce(const Force<NumericType>& force);
/// \brief Constructor. Constructs a planar force vector from a given planar traction and area
/// using the definition of traction.
constexpr PlanarForce(
const PlanarTraction<NumericType>& planar_traction, const Area<NumericType>& area);
/// \brief Destructor. Destroys this planar force vector.
~PlanarForce() noexcept = default;
/// \brief Copy constructor. Constructs a planar force vector by copying another one.
constexpr PlanarForce(const PlanarForce<NumericType>& other) = default;
/// \brief Copy constructor. Constructs a planar force vector by copying another one.
template <typename OtherNumericType>
explicit constexpr PlanarForce(const PlanarForce<OtherNumericType>& other)
: PlanarForce(static_cast<PlanarVector<NumericType>>(other.Value())) {}
/// \brief Move constructor. Constructs a planar force vector by moving another one.
constexpr PlanarForce(PlanarForce<NumericType>&& other) noexcept = default;
/// \brief Copy assignment operator. Assigns this planar force vector by copying another one.
constexpr PlanarForce<NumericType>& operator=(const PlanarForce<NumericType>& other) = default;
/// \brief Copy assignment operator. Assigns this planar force vector by copying another one.
template <typename OtherNumericType>
constexpr PlanarForce<NumericType>& operator=(const PlanarForce<OtherNumericType>& other) {
this->value = static_cast<PlanarVector<NumericType>>(other.Value());
return *this;
}
/// \brief Move assignment operator. Assigns this planar force vector by moving another one.
constexpr PlanarForce<NumericType>& operator=(
PlanarForce<NumericType>&& other) noexcept = default;
/// \brief Statically creates a planar force vector of zero.
[[nodiscard]] static constexpr PlanarForce<NumericType> Zero() {
return PlanarForce<NumericType>{PlanarVector<NumericType>::Zero()};
}
/// \brief Statically creates a planar force vector from the given x and y Cartesian components
/// expressed in a given force unit.
template <Unit::Force Unit>
[[nodiscard]] static constexpr PlanarForce<NumericType> Create(
const NumericType x, const NumericType y) {
return PlanarForce<NumericType>{ConvertStatically<Unit::Force, Unit, Standard<Unit::Force>>(
PlanarVector<NumericType>{x, y})};
}
/// \brief Statically creates a planar force vector from the given x and y Cartesian components
/// expressed in a given force unit.
template <Unit::Force Unit>
[[nodiscard]] static constexpr PlanarForce<NumericType> Create(
const std::array<NumericType, 2>& x_y) {
return PlanarForce<NumericType>{ConvertStatically<Unit::Force, Unit, Standard<Unit::Force>>(
PlanarVector<NumericType>{x_y})};
}
/// \brief Statically creates a planar force vector with a given value expressed in a given force
/// unit.
template <Unit::Force Unit>
[[nodiscard]] static constexpr PlanarForce<NumericType> Create(
const PlanarVector<NumericType>& value) {
return PlanarForce<NumericType>{
ConvertStatically<Unit::Force, Unit, Standard<Unit::Force>>(value)};
}
/// \brief Returns the x Cartesian component of this planar force vector.
[[nodiscard]] constexpr ScalarForce<NumericType> x() const noexcept {
return ScalarForce<NumericType>{this->value.x()};
}
/// \brief Returns the y Cartesian component of this planar force vector.
[[nodiscard]] constexpr ScalarForce<NumericType> y() const noexcept {
return ScalarForce<NumericType>{this->value.y()};
}
/// \brief Returns the magnitude of this planar force vector.
[[nodiscard]] ScalarForce<NumericType> Magnitude() const {
return ScalarForce<NumericType>{this->value.Magnitude()};
}
/// \brief Returns the planar direction of this planar force vector.
[[nodiscard]] PhQ::PlanarDirection<NumericType> PlanarDirection() const {
return this->value.PlanarDirection();
}
/// \brief Returns the angle between this planar force vector and another one.
[[nodiscard]] PhQ::Angle<NumericType> Angle(const PlanarForce<NumericType>& planar_force) const {
return PhQ::Angle<NumericType>{*this, planar_force};
}
constexpr PlanarForce<NumericType> operator+(const PlanarForce<NumericType>& planar_force) const {
return PlanarForce<NumericType>{this->value + planar_force.value};
}
constexpr PlanarForce<NumericType> operator-(const PlanarForce<NumericType>& planar_force) const {
return PlanarForce<NumericType>{this->value - planar_force.value};
}
constexpr PlanarForce<NumericType> operator*(const NumericType number) const {
return PlanarForce<NumericType>{this->value * number};
}
constexpr PlanarForce<NumericType> operator/(const NumericType number) const {
return PlanarForce<NumericType>{this->value / number};
}
constexpr PlanarTraction<NumericType> operator/(const Area<NumericType>& area) const;
constexpr void operator+=(const PlanarForce<NumericType>& planar_force) noexcept {
this->value += planar_force.value;
}
constexpr void operator-=(const PlanarForce<NumericType>& planar_force) noexcept {
this->value -= planar_force.value;
}
constexpr void operator*=(const NumericType number) noexcept {
this->value *= number;
}
constexpr void operator/=(const NumericType number) noexcept {
this->value /= number;
}
private:
/// \brief Constructor. Constructs a planar force vector with a given value expressed in the
/// standard force unit.
explicit constexpr PlanarForce(const PlanarVector<NumericType>& value)
: DimensionalPlanarVector<Unit::Force, NumericType>(value) {}
};
template <typename NumericType>
inline constexpr bool operator==(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() == right.Value();
}
template <typename NumericType>
inline constexpr bool operator!=(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() != right.Value();
}
template <typename NumericType>
inline constexpr bool operator<(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() < right.Value();
}
template <typename NumericType>
inline constexpr bool operator>(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() > right.Value();
}
template <typename NumericType>
inline constexpr bool operator<=(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() <= right.Value();
}
template <typename NumericType>
inline constexpr bool operator>=(
const PlanarForce<NumericType>& left, const PlanarForce<NumericType>& right) noexcept {
return left.Value() >= right.Value();
}
template <typename NumericType>
inline std::ostream& operator<<(
std::ostream& stream, const PlanarForce<NumericType>& planar_force) {
stream << planar_force.Print();
return stream;
}
template <typename NumericType>
inline constexpr PlanarForce<NumericType> operator*(
const NumericType number, const PlanarForce<NumericType>& planar_force) {
return planar_force * number;
}
template <typename NumericType>
inline PlanarDirection<NumericType>::PlanarDirection(const PlanarForce<NumericType>& planar_force)
: PlanarDirection<NumericType>(planar_force.Value()) {}
template <typename NumericType>
inline Angle<NumericType>::Angle(
const PlanarForce<NumericType>& planar_force_1, const PlanarForce<NumericType>& planar_force_2)
: Angle<NumericType>(planar_force_1.Value(), planar_force_2.Value()) {}
template <typename NumericType>
inline constexpr PlanarForce<NumericType> PlanarDirection<NumericType>::operator*(
const ScalarForce<NumericType>& scalar_force) const {
return PlanarForce<NumericType>{scalar_force, *this};
}
template <typename NumericType>
inline constexpr PlanarForce<NumericType> ScalarForce<NumericType>::operator*(
const PlanarDirection<NumericType>& planar_direction) const {
return PlanarForce<NumericType>{*this, planar_direction};
}
} // namespace PhQ
namespace std {
template <typename NumericType>
struct hash<PhQ::PlanarForce<NumericType>> {
inline size_t operator()(const PhQ::PlanarForce<NumericType>& planar_force) const {
return hash<PhQ::PlanarVector<NumericType>>()(planar_force.Value());
}
};
} // namespace std
#endif // PHQ_PLANAR_FORCE_HPP