Physical Quantities  v1.0.0
C++ library of physical quantities, physical models, and units of measure for scientific computing. https://github.com/acodcha/phq
Volume.hpp
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1 // Copyright © 2020-2024 Alexandre Coderre-Chabot
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4 // models, and units of measure for scientific computing.
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24 
25 #ifndef PHQ_VOLUME_HPP
26 #define PHQ_VOLUME_HPP
27 
28 #include <cstddef>
29 #include <functional>
30 #include <ostream>
31 
32 #include "Area.hpp"
33 #include "DimensionalScalar.hpp"
34 #include "Length.hpp"
35 #include "Unit/Volume.hpp"
36 
37 namespace PhQ {
38 
39 // Forward declaration for class PhQ::Volume.
40 template <typename NumericType>
41 class Time;
42 
43 // Forward declaration for class PhQ::Volume.
44 template <typename NumericType>
45 class Frequency;
46 
47 // Forward declaration for class PhQ::Volume.
48 template <typename NumericType>
49 class Mass;
50 
51 // Forward declaration for class PhQ::Volume.
52 template <typename NumericType>
53 class MassDensity;
54 
55 // Forward declaration for class PhQ::Volume.
56 template <typename NumericType>
57 class VolumeRate;
58 
59 /// \brief Volume. For the time rate of change of volume, see PhQ::VolumeRate; see also PhQ::Time
60 /// and PhQ::Frequency.
61 template <typename NumericType = double>
62 class Volume : public DimensionalScalar<Unit::Volume, NumericType> {
63 public:
64  /// \brief Default constructor. Constructs a volume with an uninitialized value.
65  Volume() = default;
66 
67  /// \brief Constructor. Constructs a volume with a given value expressed in a given volume unit.
68  Volume(const NumericType value, const Unit::Volume unit)
69  : DimensionalScalar<Unit::Volume, NumericType>(value, unit) {}
70 
71  /// \brief Constructor. Constructs a volume from a given area and length.
72  constexpr Volume(const Area<NumericType>& area, const Length<NumericType>& length)
73  : Volume<NumericType>(area.Value() * length.Value()) {}
74 
75  /// \brief Constructor. Constructs a volume from a given volume rate and time using the definition
76  /// of volume rate.
77  constexpr Volume(const VolumeRate<NumericType>& volume_rate, const Time<NumericType>& time);
78 
79  /// \brief Constructor. Constructs a volume from a given volume rate and frequency using the
80  /// definition of volume rate.
81  constexpr Volume(
82  const VolumeRate<NumericType>& volume_rate, const Frequency<NumericType>& frequency);
83 
84  /// \brief Constructor. Constructs a volume from a given mass and mass density using the
85  /// definition of volume.
86  constexpr Volume(const Mass<NumericType>& mass, const MassDensity<NumericType>& mass_density);
87 
88  /// \brief Destructor. Destroys this volume.
89  ~Volume() noexcept = default;
90 
91  /// \brief Copy constructor. Constructs a volume by copying another one.
92  constexpr Volume(const Volume<NumericType>& other) = default;
93 
94  /// \brief Copy constructor. Constructs a volume by copying another one.
95  template <typename OtherNumericType>
96  explicit constexpr Volume(const Volume<OtherNumericType>& other)
97  : Volume(static_cast<NumericType>(other.Value())) {}
98 
99  /// \brief Move constructor. Constructs a volume by moving another one.
100  constexpr Volume(Volume<NumericType>&& other) noexcept = default;
101 
102  /// \brief Copy assignment operator. Assigns this volume by copying another one.
103  constexpr Volume<NumericType>& operator=(const Volume<NumericType>& other) = default;
104 
105  /// \brief Copy assignment operator. Assigns this volume by copying another one.
106  template <typename OtherNumericType>
108  this->value = static_cast<NumericType>(other.Value());
109  return *this;
110  }
111 
112  /// \brief Move assignment operator. Assigns this volume by moving another one.
113  constexpr Volume<NumericType>& operator=(Volume<NumericType>&& other) noexcept = default;
114 
115  /// \brief Statically creates a volume of zero.
116  [[nodiscard]] static constexpr Volume<NumericType> Zero() {
117  return Volume<NumericType>{static_cast<NumericType>(0)};
118  }
119 
120  /// \brief Statically creates a volume with a given value expressed in a given volume unit.
121  template <Unit::Volume Unit>
122  [[nodiscard]] static constexpr Volume<NumericType> Create(const NumericType value) {
123  return Volume<NumericType>{
124  ConvertStatically<Unit::Volume, Unit, Standard<Unit::Volume>>(value)};
125  }
126 
127  constexpr Volume<NumericType> operator+(const Volume<NumericType>& volume) const {
128  return Volume<NumericType>{this->value + volume.value};
129  }
130 
131  constexpr Volume<NumericType> operator-(const Volume<NumericType>& volume) const {
132  return Volume<NumericType>{this->value - volume.value};
133  }
134 
135  constexpr Volume<NumericType> operator*(const NumericType number) const {
136  return Volume<NumericType>{this->value * number};
137  }
138 
139  constexpr Mass<NumericType> operator*(const MassDensity<NumericType>& mass_density) const;
140 
141  constexpr VolumeRate<NumericType> operator*(const Frequency<NumericType>& frequency) const;
142 
143  constexpr Volume<NumericType> operator/(const NumericType number) const {
144  return Volume<NumericType>{this->value / number};
145  }
146 
147  constexpr Area<NumericType> operator/(const Length<NumericType>& length) const {
148  return Area<NumericType>{*this, length};
149  }
150 
151  constexpr Length<NumericType> operator/(const Area<NumericType>& area) const {
152  return Length<NumericType>{*this, area};
153  }
154 
156 
157  constexpr Time<NumericType> operator/(const VolumeRate<NumericType>& volume_rate) const;
158 
159  constexpr NumericType operator/(const Volume<NumericType>& volume) const noexcept {
160  return this->value / volume.value;
161  }
162 
163  constexpr void operator+=(const Volume<NumericType>& volume) noexcept {
164  this->value += volume.value;
165  }
166 
167  constexpr void operator-=(const Volume<NumericType>& volume) noexcept {
168  this->value -= volume.value;
169  }
170 
171  constexpr void operator*=(const NumericType number) noexcept {
172  this->value *= number;
173  }
174 
175  constexpr void operator/=(const NumericType number) noexcept {
176  this->value /= number;
177  }
178 
179 private:
180  /// \brief Constructor. Constructs a volume with a given value expressed in the standard volume
181  /// unit.
182  explicit constexpr Volume(const NumericType value)
183  : DimensionalScalar<Unit::Volume, NumericType>(value) {}
184 };
185 
186 template <typename NumericType>
187 inline constexpr bool operator==(
188  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
189  return left.Value() == right.Value();
190 }
191 
192 template <typename NumericType>
193 inline constexpr bool operator!=(
194  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
195  return left.Value() != right.Value();
196 }
197 
198 template <typename NumericType>
199 inline constexpr bool operator<(
200  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
201  return left.Value() < right.Value();
202 }
203 
204 template <typename NumericType>
205 inline constexpr bool operator>(
206  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
207  return left.Value() > right.Value();
208 }
209 
210 template <typename NumericType>
211 inline constexpr bool operator<=(
212  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
213  return left.Value() <= right.Value();
214 }
215 
216 template <typename NumericType>
217 inline constexpr bool operator>=(
218  const Volume<NumericType>& left, const Volume<NumericType>& right) noexcept {
219  return left.Value() >= right.Value();
220 }
221 
222 template <typename NumericType>
223 inline std::ostream& operator<<(std::ostream& stream, const Volume<NumericType>& volume) {
224  stream << volume.Print();
225  return stream;
226 }
227 
228 template <typename NumericType>
230  const NumericType number, const Volume<NumericType>& volume) {
231  return volume * number;
232 }
233 
234 template <typename NumericType>
235 inline constexpr Length<NumericType>::Length(
236  const Volume<NumericType>& volume, const Area<NumericType>& area)
237  : Length<NumericType>(volume.Value() / area.Value()) {}
238 
239 template <typename NumericType>
240 inline constexpr Area<NumericType>::Area(
241  const Volume<NumericType>& volume, const Length<NumericType>& length)
242  : Area<NumericType>(volume.Value() / length.Value()) {}
243 
244 template <typename NumericType>
245 inline constexpr Volume<NumericType> Length<NumericType>::operator*(
246  const Area<NumericType>& area) const {
247  return Volume<NumericType>{area, *this};
248 }
249 
250 template <typename NumericType>
251 inline constexpr Volume<NumericType> Area<NumericType>::operator*(
252  const Length<NumericType>& length) const {
253  return Volume<NumericType>{*this, length};
254 }
255 
256 } // namespace PhQ
257 
258 namespace std {
259 
260 template <typename NumericType>
261 struct hash<PhQ::Volume<NumericType>> {
262  inline size_t operator()(const PhQ::Volume<NumericType>& volume) const {
263  return hash<NumericType>()(volume.Value());
264  }
265 };
266 
267 } // namespace std
268 
269 #endif // PHQ_VOLUME_HPP
Surface area or cross-sectional area. Can also represent a scalar component of a vector area or the m...
Definition: Area.hpp:71
Abstract base class that represents any dimensional scalar physical quantity. Such a physical quantit...
double value
Value of this physical quantity expressed in its standard unit of measure.
constexpr double Value() const noexcept
Value of this physical quantity expressed in its standard unit of measure.
static constexpr Unit::Volume Unit()
Standard unit of measure for this physical quantity. This physical quantity's value is stored interna...
std::string Print() const
Prints this physical quantity as a string. This physical quantity's value is expressed in its standar...
Frequency. Inverse of a time duration. See also PhQ::Time.
Definition: Frequency.hpp:40
Length, distance, or physical size. Can also represent a scalar component or magnitude of a position ...
Definition: Length.hpp:111
Length()=default
Default constructor. Constructs a length with an uninitialized value.
Mass density. Mass per unit volume; see PhQ::Mass and PhQ::Volume.
Definition: MassDensity.hpp:83
Mass. For the time rate of change of mass, see PhQ::MassRate; see also PhQ::Time and PhQ::Frequency.
Definition: Mass.hpp:100
Time. Can represent either a point in time, a time duration, or a period. For the inverse of time,...
Definition: Time.hpp:172
Volume rate. Can represent a time rate of change of a volume or a volume flow rate....
Definition: VolumeRate.hpp:51
Volume. For the time rate of change of volume, see PhQ::VolumeRate; see also PhQ::Time and PhQ::Frequ...
Definition: Volume.hpp:62
constexpr Volume(const VolumeRate< NumericType > &volume_rate, const Time< NumericType > &time)
Constructor. Constructs a volume from a given volume rate and time using the definition of volume rat...
constexpr Volume(const Mass< NumericType > &mass, const MassDensity< NumericType > &mass_density)
Constructor. Constructs a volume from a given mass and mass density using the definition of volume.
constexpr Volume< NumericType > & operator=(Volume< NumericType > &&other) noexcept=default
Move assignment operator. Assigns this volume by moving another one.
constexpr void operator-=(const Volume< NumericType > &volume) noexcept
Definition: Volume.hpp:167
static constexpr Volume< NumericType > Zero()
Statically creates a volume of zero.
Definition: Volume.hpp:116
constexpr void operator/=(const NumericType number) noexcept
Definition: Volume.hpp:175
constexpr Volume< NumericType > operator-(const Volume< NumericType > &volume) const
Definition: Volume.hpp:131
constexpr Length< NumericType > operator/(const Area< NumericType > &area) const
Definition: Volume.hpp:151
constexpr void operator+=(const Volume< NumericType > &volume) noexcept
Definition: Volume.hpp:163
constexpr Volume(const Area< NumericType > &area, const Length< NumericType > &length)
Constructor. Constructs a volume from a given area and length.
Definition: Volume.hpp:72
constexpr Volume< NumericType > & operator=(const Volume< NumericType > &other)=default
Copy assignment operator. Assigns this volume by copying another one.
constexpr Volume(Volume< NumericType > &&other) noexcept=default
Move constructor. Constructs a volume by moving another one.
constexpr Volume< NumericType > operator/(const NumericType number) const
Definition: Volume.hpp:143
constexpr VolumeRate< NumericType > operator*(const Frequency< NumericType > &frequency) const
constexpr Time< NumericType > operator/(const VolumeRate< NumericType > &volume_rate) const
constexpr void operator*=(const NumericType number) noexcept
Definition: Volume.hpp:171
static constexpr Volume< NumericType > Create(const NumericType value)
Statically creates a volume with a given value expressed in a given volume unit.
Definition: Volume.hpp:122
Volume(const NumericType value, const Unit::Volume unit)
Constructor. Constructs a volume with a given value expressed in a given volume unit.
Definition: Volume.hpp:68
constexpr Volume< NumericType > & operator=(const Volume< OtherNumericType > &other)
Copy assignment operator. Assigns this volume by copying another one.
Definition: Volume.hpp:107
constexpr Volume< NumericType > operator*(const NumericType number) const
Definition: Volume.hpp:135
constexpr Volume(const NumericType value)
Constructor. Constructs a volume with a given value expressed in the standard volume unit.
Definition: Volume.hpp:182
Volume()=default
Default constructor. Constructs a volume with an uninitialized value.
constexpr NumericType operator/(const Volume< NumericType > &volume) const noexcept
Definition: Volume.hpp:159
~Volume() noexcept=default
Destructor. Destroys this volume.
constexpr Volume< NumericType > operator+(const Volume< NumericType > &volume) const
Definition: Volume.hpp:127
constexpr VolumeRate< NumericType > operator/(const Time< NumericType > &time) const
constexpr Mass< NumericType > operator*(const MassDensity< NumericType > &mass_density) const
constexpr Volume(const VolumeRate< NumericType > &volume_rate, const Frequency< NumericType > &frequency)
Constructor. Constructs a volume from a given volume rate and frequency using the definition of volum...
constexpr Area< NumericType > operator/(const Length< NumericType > &length) const
Definition: Volume.hpp:147
VolumeRate
Volume rate units. Can represent a time rate of change of a volume or a volume flow rate.
Definition: VolumeRate.hpp:53
MassDensity
Mass density units.
Definition: MassDensity.hpp:54
Mass
Mass units.
Definition: Mass.hpp:53
Length
Length units.
Definition: Length.hpp:53
Frequency
Frequency units.
Definition: Frequency.hpp:53
Volume
Volume units.
Definition: Volume.hpp:53
Area
Area units.
Definition: Area.hpp:53
Time
Time units.
Definition: Time.hpp:53
Namespace that encompasses all of the Physical Quantities library's content.
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 Volume< NumericType > operator*(const NumericType number, const Volume< NumericType > &volume)
Definition: Volume.hpp:229
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
std::ostream & operator<<(std::ostream &stream, const Acceleration< NumericType > &acceleration)