Physical Quantities  v1.0.0
C++ library of physical quantities, physical models, and units of measure for scientific computing. https://github.com/acodcha/phq
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PlanarAcceleration.hpp
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1// Copyright © 2020-2024 Alexandre Coderre-Chabot
2//
3// This file is part of Physical Quantities (PhQ), a C++ library of physical quantities, physical
4// models, and units of measure for scientific computing.
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24
25#ifndef PHQ_PLANAR_ACCELERATION_HPP
26#define PHQ_PLANAR_ACCELERATION_HPP
27
28#include <array>
29#include <cstddef>
30#include <functional>
31#include <ostream>
32
33#include "Angle.hpp"
35#include "Frequency.hpp"
36#include "PlanarDirection.hpp"
37#include "PlanarVector.hpp"
38#include "PlanarVelocity.hpp"
40#include "Time.hpp"
41#include "Unit/Acceleration.hpp"
42
43namespace PhQ {
44
45/// \brief Two-dimensional Euclidean acceleration vector in the XY plane. Contains two components in
46/// Cartesian coordinates: x and y. For a three-dimensional Euclidean acceleration vector, see
47/// PhQ::Acceleration. For scalar acceleration components or for the magnitude of an acceleration
48/// vector, see PhQ::ScalarAcceleration.
49template <typename NumericType = double>
50class PlanarAcceleration : public DimensionalPlanarVector<Unit::Acceleration, NumericType> {
51public:
52 /// \brief Default constructor. Constructs a planar acceleration vector with an uninitialized
53 /// value.
54 PlanarAcceleration() = default;
55
56 /// \brief Constructor. Constructs a planar acceleration vector with a given value expressed in a
57 /// given acceleration unit.
60
61 /// \brief Constructor. Constructs a planar acceleration vector from a given set of scalar
62 /// acceleration components.
65 : PlanarAcceleration<NumericType>({x.Value(), y.Value()}) {}
66
67 /// \brief Constructor. Constructs a planar acceleration vector from a given scalar acceleration
68 /// magnitude and planar direction.
69 constexpr PlanarAcceleration(const ScalarAcceleration<NumericType>& scalar_acceleration,
70 const PlanarDirection<NumericType>& planar_direction)
71 : PlanarAcceleration<NumericType>(scalar_acceleration.Value() * planar_direction.Value()) {}
72
73 /// \brief Constructor. Constructs a planar acceleration vector from a given acceleration vector
74 /// by projecting the acceleration vector onto the XY plane.
75 explicit constexpr PlanarAcceleration(const Acceleration<NumericType>& acceleration);
76
77 /// \brief Constructor. Constructs a planar acceleration vector from a given planar velocity and
78 /// time using the definition of acceleration.
80 const PlanarVelocity<NumericType>& planar_velocity, const Time<NumericType>& time)
81 : PlanarAcceleration<NumericType>(planar_velocity.Value() / time.Value()) {}
82
83 /// \brief Constructor. Constructs a planar acceleration vector from a given planar velocity and
84 /// frequency using the definition of acceleration.
86 const PlanarVelocity<NumericType>& planar_velocity, const Frequency<NumericType>& frequency)
87 : PlanarAcceleration<NumericType>(planar_velocity.Value() * frequency.Value()) {}
88
89 /// \brief Destructor. Destroys this acceleration vector.
90 ~PlanarAcceleration() noexcept = default;
91
92 /// \brief Copy constructor. Constructs a planar acceleration vector by copying another one.
93 constexpr PlanarAcceleration(const PlanarAcceleration<NumericType>& other) = default;
94
95 /// \brief Copy constructor. Constructs a planar acceleration vector by copying another one.
96 template <typename OtherNumericType>
97 explicit constexpr PlanarAcceleration(const PlanarAcceleration<OtherNumericType>& other)
98 : PlanarAcceleration(static_cast<PlanarVector<NumericType>>(other.Value())) {}
99
100 /// \brief Move constructor. Constructs a planar acceleration vector by moving another one.
101 constexpr PlanarAcceleration(PlanarAcceleration<NumericType>&& other) noexcept = default;
102
103 /// \brief Copy assignment operator. Assigns this acceleration vector by copying another one.
105 const PlanarAcceleration<NumericType>& other) = default;
106
107 /// \brief Copy assignment operator. Assigns this acceleration vector by copying another one.
108 template <typename OtherNumericType>
111 this->value = static_cast<PlanarVector<NumericType>>(other.Value());
112 return *this;
113 }
114
115 /// \brief Move assignment operator. Assigns this acceleration vector by moving another one.
117 PlanarAcceleration<NumericType>&& other) noexcept = default;
118
119 /// \brief Statically creates a planar acceleration vector of zero.
123
124 /// \brief Statically creates a planar acceleration vector from the given x and y Cartesian
125 /// components expressed in a given acceleration unit.
126 template <Unit::Acceleration Unit>
127 [[nodiscard]] static constexpr PlanarAcceleration<NumericType> Create(
128 const NumericType x, const NumericType y) {
130 ConvertStatically<Unit::Acceleration, Unit, Standard<Unit::Acceleration>>(
132 }
133
134 /// \brief Statically creates a planar acceleration vector from the given x and y Cartesian
135 /// components expressed in a given acceleration unit.
136 template <Unit::Acceleration Unit>
137 [[nodiscard]] static constexpr PlanarAcceleration<NumericType> Create(
138 const std::array<NumericType, 2>& x_y) {
140 ConvertStatically<Unit::Acceleration, Unit, Standard<Unit::Acceleration>>(
142 }
143
144 /// \brief Statically creates a planar acceleration vector with a given value expressed in a given
145 /// acceleration unit.
146 template <Unit::Acceleration Unit>
147 [[nodiscard]] static constexpr PlanarAcceleration<NumericType> Create(
150 ConvertStatically<Unit::Acceleration, Unit, Standard<Unit::Acceleration>>(value)};
151 }
152
153 /// \brief Returns the x Cartesian component of this acceleration vector.
154 [[nodiscard]] constexpr ScalarAcceleration<NumericType> x() const noexcept {
155 return ScalarAcceleration<NumericType>{this->value.x()};
156 }
157
158 /// \brief Returns the y Cartesian component of this acceleration vector.
159 [[nodiscard]] constexpr ScalarAcceleration<NumericType> y() const noexcept {
160 return ScalarAcceleration<NumericType>{this->value.y()};
161 }
162
163 /// \brief Returns the magnitude of this acceleration vector.
165 return ScalarAcceleration<NumericType>{this->value.Magnitude()};
166 }
167
168 /// \brief Returns the planar direction of this acceleration vector.
170 return this->value.PlanarDirection();
171 }
172
173 /// \brief Returns the angle between this acceleration vector and another one.
175 return PhQ::Angle<NumericType>{*this, other};
176 }
177
182
187
188 constexpr PlanarAcceleration<NumericType> operator*(const NumericType number) const {
189 return PlanarAcceleration<NumericType>{this->value * number};
190 }
191
193 return PlanarVelocity<NumericType>{*this, time};
194 }
195
196 constexpr PlanarAcceleration<NumericType> operator/(const NumericType number) const {
197 return PlanarAcceleration<NumericType>{this->value / number};
198 }
199
201 return PlanarVelocity<NumericType>{*this, frequency};
202 }
203
204 constexpr void operator+=(const PlanarAcceleration<NumericType>& other) noexcept {
205 this->value += other.value;
206 }
207
208 constexpr void operator-=(const PlanarAcceleration<NumericType>& other) noexcept {
209 this->value -= other.value;
210 }
211
212 constexpr void operator*=(const NumericType number) noexcept {
213 this->value *= number;
214 }
215
216 constexpr void operator/=(const NumericType number) noexcept {
217 this->value /= number;
218 }
219
220private:
221 /// \brief Constructor. Constructs a planar acceleration vector with a given value expressed in
222 /// the standard acceleration unit.
225};
226
227template <typename NumericType>
228inline constexpr bool operator==(const PlanarAcceleration<NumericType>& left,
229 const PlanarAcceleration<NumericType>& right) noexcept {
230 return left.Value() == right.Value();
231}
232
233template <typename NumericType>
234inline constexpr bool operator!=(const PlanarAcceleration<NumericType>& left,
235 const PlanarAcceleration<NumericType>& right) noexcept {
236 return left.Value() != right.Value();
237}
238
239template <typename NumericType>
240inline constexpr bool operator<(const PlanarAcceleration<NumericType>& left,
241 const PlanarAcceleration<NumericType>& right) noexcept {
242 return left.Value() < right.Value();
243}
244
245template <typename NumericType>
246inline constexpr bool operator>(const PlanarAcceleration<NumericType>& left,
247 const PlanarAcceleration<NumericType>& right) noexcept {
248 return left.Value() > right.Value();
249}
250
251template <typename NumericType>
252inline constexpr bool operator<=(const PlanarAcceleration<NumericType>& left,
253 const PlanarAcceleration<NumericType>& right) noexcept {
254 return left.Value() <= right.Value();
255}
256
257template <typename NumericType>
258inline constexpr bool operator>=(const PlanarAcceleration<NumericType>& left,
259 const PlanarAcceleration<NumericType>& right) noexcept {
260 return left.Value() >= right.Value();
261}
262
263template <typename NumericType>
264inline std::ostream& operator<<(
265 std::ostream& stream, const PlanarAcceleration<NumericType>& planar_acceleration) {
266 stream << planar_acceleration.Print();
267 return stream;
268}
269
270template <typename NumericType>
272 const NumericType number, const PlanarAcceleration<NumericType>& planar_acceleration) {
273 return planar_acceleration * number;
274}
275
276template <typename NumericType>
278 const PlanarAcceleration<NumericType>& planar_acceleration)
279 : PlanarDirection<NumericType>(planar_acceleration.Value()) {}
280
281template <typename NumericType>
283 const PlanarAcceleration<NumericType>& planar_acceleration_2)
284 : Angle<NumericType>(planar_acceleration_1.Value(), planar_acceleration_2.Value()) {}
285
286template <typename NumericType>
288 const PlanarAcceleration<NumericType>& planar_acceleration, const Time<NumericType>& time)
289 : PlanarVelocity<NumericType>(planar_acceleration.Value() * time.Value()) {}
290
291template <typename NumericType>
293 const PlanarAcceleration<NumericType>& planar_acceleration,
294 const Frequency<NumericType>& frequency)
295 : PlanarVelocity<NumericType>(planar_acceleration.Value() / frequency.Value()) {}
296
297template <typename NumericType>
299 const ScalarAcceleration<NumericType>& scalar_acceleration) const {
300 return PlanarAcceleration<NumericType>{scalar_acceleration, *this};
301}
302
303template <typename NumericType>
305 const PlanarAcceleration<NumericType>& planar_acceleration) const {
306 return PlanarVelocity<NumericType>{planar_acceleration, *this};
307}
308
309template <typename NumericType>
311 const PlanarDirection<NumericType>& planar_direction) const {
312 return PlanarAcceleration<NumericType>{*this, planar_direction};
313}
314
315template <typename NumericType>
317 const Frequency<NumericType>& frequency) const {
318 return PlanarAcceleration<NumericType>{*this, frequency};
319}
320
321template <typename NumericType>
323 const PlanarVelocity<NumericType>& planar_velocity) const {
324 return PlanarAcceleration<NumericType>{planar_velocity, *this};
325}
326
327template <typename NumericType>
332
333} // namespace PhQ
334
335namespace std {
336
337template <typename NumericType>
338struct hash<PhQ::PlanarAcceleration<NumericType>> {
339 inline size_t operator()(const PhQ::PlanarAcceleration<NumericType>& planar_acceleration) const {
340 return hash<PhQ::PlanarVector<NumericType>>()(planar_acceleration.Value());
341 }
342};
343
344} // namespace std
345
346#endif // PHQ_PLANAR_ACCELERATION_HPP
Three-dimensional Euclidean acceleration vector. Contains three components in Cartesian coordinates: ...
Plane angle between two lines or dihedral angle between two planes.
Definition Angle.hpp:130
Angle()=default
Default constructor. Constructs an angle with an uninitialized value.
Abstract base class that represents any dimensional planar vector physical quantity....
PhQ::PlanarVector< NumericType > value
Value of this physical quantity expressed in its standard unit of measure.
static constexpr UnitType Unit()
Standard unit of measure for this physical quantity. This physical quantity's value is stored interna...
constexpr const PhQ::PlanarVector< NumericType > & Value() const noexcept
Value of this physical quantity expressed in its standard unit of measure.
std::string Print() const
Prints this physical quantity as a string. This physical quantity's value is expressed in its standar...
constexpr const PhQ::Vector< NumericType > & Value() const noexcept
Value of this physical quantity expressed in its standard unit of measure.
Frequency. Inverse of a time duration. See also PhQ::Time.
Definition Frequency.hpp:40
constexpr Frequency< NumericType > operator*(const NumericType number) const
Two-dimensional Euclidean acceleration vector in the XY plane. Contains two components in Cartesian c...
static constexpr PlanarAcceleration< NumericType > Create(const NumericType x, const NumericType y)
Statically creates a planar acceleration vector from the given x and y Cartesian components expressed...
constexpr void operator/=(const NumericType number) noexcept
constexpr PlanarAcceleration< NumericType > operator-(const PlanarAcceleration< NumericType > &other) const
constexpr ScalarAcceleration< NumericType > x() const noexcept
Returns the x Cartesian component of this acceleration vector.
constexpr PlanarAcceleration< NumericType > & operator=(const PlanarAcceleration< NumericType > &other)=default
Copy assignment operator. Assigns this acceleration vector by copying another one.
PlanarAcceleration(const PlanarVector< NumericType > &value, const Unit::Acceleration unit)
Constructor. Constructs a planar acceleration vector with a given value expressed in a given accelera...
PlanarAcceleration()=default
Default constructor. Constructs a planar acceleration vector with an uninitialized value.
PlanarAcceleration(const ScalarAcceleration< NumericType > &x, const ScalarAcceleration< NumericType > &y)
Constructor. Constructs a planar acceleration vector from a given set of scalar acceleration componen...
constexpr PlanarVelocity< NumericType > operator*(const Time< NumericType > &time) const
constexpr PlanarAcceleration(const PlanarVelocity< NumericType > &planar_velocity, const Frequency< NumericType > &frequency)
Constructor. Constructs a planar acceleration vector from a given planar velocity and frequency using...
constexpr PlanarVelocity< NumericType > operator/(const Frequency< NumericType > &frequency) const
~PlanarAcceleration() noexcept=default
Destructor. Destroys this acceleration vector.
constexpr PlanarAcceleration(const PlanarVelocity< NumericType > &planar_velocity, const Time< NumericType > &time)
Constructor. Constructs a planar acceleration vector from a given planar velocity and time using the ...
constexpr void operator*=(const NumericType number) noexcept
constexpr void operator+=(const PlanarAcceleration< NumericType > &other) noexcept
constexpr PlanarAcceleration< NumericType > & operator=(PlanarAcceleration< NumericType > &&other) noexcept=default
Move assignment operator. Assigns this acceleration vector by moving another one.
constexpr void operator-=(const PlanarAcceleration< NumericType > &other) noexcept
constexpr PlanarAcceleration< NumericType > operator+(const PlanarAcceleration< NumericType > &other) const
constexpr ScalarAcceleration< NumericType > y() const noexcept
Returns the y Cartesian component of this acceleration vector.
PhQ::Angle< NumericType > Angle(const PlanarAcceleration< NumericType > &other) const
Returns the angle between this acceleration vector and another one.
constexpr PlanarAcceleration(const PlanarVector< NumericType > &value)
Constructor. Constructs a planar acceleration vector with a given value expressed in the standard acc...
static constexpr PlanarAcceleration< NumericType > Create(const PlanarVector< NumericType > &value)
Statically creates a planar acceleration vector with a given value expressed in a given acceleration ...
constexpr PlanarAcceleration< NumericType > & operator=(const PlanarAcceleration< OtherNumericType > &other)
Copy assignment operator. Assigns this acceleration vector by copying another one.
ScalarAcceleration< NumericType > Magnitude() const
Returns the magnitude of this acceleration vector.
constexpr PlanarAcceleration< NumericType > operator*(const NumericType number) const
constexpr PlanarAcceleration< NumericType > operator/(const NumericType number) const
static constexpr PlanarAcceleration< NumericType > Create(const std::array< NumericType, 2 > &x_y)
Statically creates a planar acceleration vector from the given x and y Cartesian components expressed...
PhQ::PlanarDirection< NumericType > PlanarDirection() const
Returns the planar direction of this acceleration vector.
constexpr PlanarAcceleration(const ScalarAcceleration< NumericType > &scalar_acceleration, const PlanarDirection< NumericType > &planar_direction)
Constructor. Constructs a planar acceleration vector from a given scalar acceleration magnitude and p...
constexpr PlanarAcceleration(PlanarAcceleration< NumericType > &&other) noexcept=default
Move constructor. Constructs a planar acceleration vector by moving another one.
static constexpr PlanarAcceleration< NumericType > Zero()
Statically creates a planar acceleration vector of zero.
two-dimensional Euclidean direction vector in the XY plane. Contains two components in Cartesian coor...
constexpr PlanarAcceleration< NumericType > operator*(const ScalarAcceleration< NumericType > &scalar_acceleration) const
constexpr PlanarDirection()
Default constructor. Initializes a planar direction to the zero planar vector.
Two-dimensional Euclidean vector in the XY plane. Contains two components in Cartesian coordinates: x...
static constexpr PlanarVector< NumericType > Zero()
Statically creates a two-dimensional planar vector with its x and y Cartesian components initialized ...
Two-dimensional Euclidean velocity vector in the XY plane. Contains two components in Cartesian coord...
constexpr PlanarVelocity< NumericType > operator*(const NumericType number) const
constexpr PlanarVelocity< NumericType > operator/(const NumericType number) const
PlanarVelocity()=default
Default constructor. Constructs a planar velocity vector with an uninitialized value.
Scalar acceleration component or magnitude of an acceleration vector. For a three-dimensional Euclide...
constexpr ScalarAcceleration< NumericType > operator*(const NumericType number) const
Time. Can represent either a point in time, a time duration, or a period. For the inverse of time,...
Definition Time.hpp:172
constexpr Time< NumericType > operator*(const NumericType number) const
Definition Time.hpp:278
Acceleration
Acceleration units.
Namespace that encompasses all of the Physical Quantities library's content.
std::ostream & operator<<(std::ostream &stream, const Acceleration< NumericType > &acceleration)
constexpr bool operator<(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept
constexpr bool operator<=(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept
constexpr bool operator>(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept
constexpr Acceleration< NumericType > operator*(const NumericType number, const Acceleration< NumericType > &acceleration)
constexpr bool operator==(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept
constexpr bool operator>=(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept
constexpr bool operator!=(const Acceleration< NumericType > &left, const Acceleration< NumericType > &right) noexcept