SoundSpeed.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
//
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#ifndef PHQ_SOUND_SPEED_HPP
#define PHQ_SOUND_SPEED_HPP
 
#include <cstddef>
#include <functional>
#include <ostream>
 
#include "DimensionalScalar.hpp"
#include "HeatCapacityRatio.hpp"
#include "IsentropicBulkModulus.hpp"
#include "MassDensity.hpp"
#include "SpecificGasConstant.hpp"
#include "Speed.hpp"
#include "StaticPressure.hpp"
#include "Temperature.hpp"
 
namespace PhQ {
 
// Forward declaration for class PhQ::SoundSpeed.
template <typename NumericType>
class MachNumber;
 
// Forward declaration for class PhQ::SoundSpeed.
template <typename NumericType>
class Speed;
 
/// \brief Speed of sound. Applies to any deformable material, including fluids and deformable
/// solids. Defined as the ratio of a material's isentropic bulk modulus to its mass density; see
/// PhQ::IsentropicBulkModulus and PhQ::MassDensity. The speed of sound also appears in the
/// definition of the Mach number; see PhQ::MachNumber and PhQ::Speed.
template <typename NumericType = double>
class SoundSpeed : public DimensionalScalar<Unit::Speed, NumericType> {
public:
  /// \brief Default constructor. Constructs a sound speed with an uninitialized value.
  SoundSpeed() = default;
 
  /// \brief Constructs a sound speed from a given value and speed unit.
  SoundSpeed(const NumericType value, const Unit::Speed unit)
    : DimensionalScalar<Unit::Speed, NumericType>(value, unit) {}
 
  /// \brief Constructs a sound speed from an isentropic bulk modulus and a mass density. This is
  /// the definition of the sound speed; this relation always holds true.
  SoundSpeed(const IsentropicBulkModulus<NumericType>& isentropic_bulk_modulus,
             const MassDensity<NumericType>& mass_density)
    : SoundSpeed<NumericType>(std::sqrt(isentropic_bulk_modulus.Value() / mass_density.Value())) {}
 
  /// \brief Constructs a sound speed from a heat capacity ratio, a static pressure, and a mass
  /// density. This relation applies only to an ideal gas.
  SoundSpeed(const HeatCapacityRatio<NumericType>& heat_capacity_ratio,
             const StaticPressure<NumericType>& static_pressure,
             const MassDensity<NumericType>& mass_density)
    : SoundSpeed<NumericType>(
        std::sqrt(heat_capacity_ratio.Value() * static_pressure.Value() / mass_density.Value())) {}
 
  /// \brief Constructs a sound speed from a heat capacity ratio, a specific gas constant, and a
  /// temperature. This relation applies only to an ideal gas.
  SoundSpeed(const HeatCapacityRatio<NumericType>& heat_capacity_ratio,
             const SpecificGasConstant<NumericType>& specific_gas_constant,
             const Temperature<NumericType>& temperature)
    : SoundSpeed<NumericType>(std::sqrt(
        heat_capacity_ratio.Value() * specific_gas_constant.Value() * temperature.Value())) {}
 
  /// \brief Constructs a sound speed from a speed and a Mach number. This uses the definition of
  /// the Mach number; this relation always holds true.
  constexpr SoundSpeed(const Speed<NumericType>& speed, const MachNumber<NumericType>& mach_number);
 
  /// \brief Destructor. Destroys this sound speed.
  ~SoundSpeed() noexcept = default;
 
  /// \brief Copy constructor. Constructs a sound speed by copying another one.
  constexpr SoundSpeed(const SoundSpeed<NumericType>& other) = default;
 
  /// \brief Copy constructor. Constructs a sound speed by copying another one.
  template <typename OtherNumericType>
  explicit constexpr SoundSpeed(const SoundSpeed<OtherNumericType>& other)
    : SoundSpeed(static_cast<NumericType>(other.Value())) {}
 
  /// \brief Move constructor. Constructs a sound speed by moving another one.
  constexpr SoundSpeed(SoundSpeed<NumericType>&& other) noexcept = default;
 
  /// \brief Copy assignment operator. Assigns this sound speed by copying another one.
  constexpr SoundSpeed<NumericType>& operator=(const SoundSpeed<NumericType>& other) = default;
 
  /// \brief Copy assignment operator. Assigns this sound speed by copying another one.
  template <typename OtherNumericType>
  constexpr SoundSpeed<NumericType>& operator=(const SoundSpeed<OtherNumericType>& other) {
    this->value = static_cast<NumericType>(other.Value());
    return *this;
  }
 
  /// \brief Move assignment operator. Assigns this sound speed by moving another one.
  constexpr SoundSpeed<NumericType>& operator=(SoundSpeed<NumericType>&& other) noexcept = default;
 
  [[nodiscard]] static constexpr SoundSpeed<NumericType> Zero() {
    return SoundSpeed<NumericType>{static_cast<NumericType>(0)};
  }
 
  /// \brief Creates a sound speed from a given value and speed unit.
  template <Unit::Speed Unit>
  [[nodiscard]] static constexpr SoundSpeed<NumericType> Create(const NumericType value) {
    return SoundSpeed<NumericType>{
        ConvertStatically<Unit::Speed, Unit, Standard<Unit::Speed>>(value)};
  }
 
  constexpr SoundSpeed<NumericType> operator+(const SoundSpeed<NumericType>& speed) const {
    return SoundSpeed<NumericType>{this->value + speed.value};
  }
 
  constexpr Speed<NumericType> operator+(const Speed<NumericType>& speed) const {
    return Speed<NumericType>{this->value + speed.value};
  }
 
  constexpr SoundSpeed<NumericType> operator-(const SoundSpeed<NumericType>& speed) const {
    return SoundSpeed<NumericType>{this->value - speed.value};
  }
 
  constexpr Speed<NumericType> operator-(const Speed<NumericType>& speed) const {
    return Speed<NumericType>{this->value - speed.value};
  }
 
  constexpr SoundSpeed<NumericType> operator*(const NumericType number) const {
    return SoundSpeed<NumericType>{this->value * number};
  }
 
  constexpr Speed<NumericType> operator*(const MachNumber<NumericType>& mach_number) const;
 
  constexpr SoundSpeed<NumericType> operator/(const NumericType number) const {
    return SoundSpeed<NumericType>{this->value / number};
  }
 
  constexpr NumericType operator/(const SoundSpeed<NumericType>& sound_speed) const noexcept {
    return this->value / sound_speed.value;
  }
 
  constexpr void operator+=(const SoundSpeed<NumericType>& sound_speed) noexcept {
    this->value += sound_speed.value;
  }
 
  constexpr void operator+=(const Speed<NumericType>& speed) noexcept {
    this->value += speed.value;
  }
 
  constexpr void operator-=(const SoundSpeed<NumericType>& sound_speed) noexcept {
    this->value -= sound_speed.value;
  }
 
  constexpr void operator-=(const Speed<NumericType>& speed) noexcept {
    this->value -= speed.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 sound speed with a given value expressed in the standard
  /// speed unit.
  explicit constexpr SoundSpeed(const NumericType value)
    : DimensionalScalar<Unit::Speed, NumericType>(value) {}
};
 
template <typename NumericType>
inline constexpr bool operator==(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() == right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator!=(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() != right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator<(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() < right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator>(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() > right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator<=(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() <= right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator>=(
    const SoundSpeed<NumericType>& left, const SoundSpeed<NumericType>& right) noexcept {
  return left.Value() >= right.Value();
}
 
template <typename NumericType>
inline std::ostream& operator<<(std::ostream& stream, const SoundSpeed<NumericType>& sound_speed) {
  stream << sound_speed.Print();
  return stream;
}
 
template <typename NumericType>
inline constexpr SoundSpeed<NumericType> operator*(
    const NumericType number, const SoundSpeed<NumericType>& sound_speed) {
  return sound_speed * number;
}
 
template <typename NumericType>
inline constexpr Speed<NumericType> Speed<NumericType>::operator+(
    const SoundSpeed<NumericType>& sound_speed) const {
  return Speed<NumericType>{this->value + sound_speed.Value()};
}
 
template <typename NumericType>
inline constexpr Speed<NumericType> Speed<NumericType>::operator-(
    const SoundSpeed<NumericType>& sound_speed) const {
  return Speed<NumericType>{this->value - sound_speed.Value()};
}
 
template <typename NumericType>
inline constexpr void Speed<NumericType>::operator+=(
    const SoundSpeed<NumericType>& speed) noexcept {
  this->value += speed.Value();
}
 
template <typename NumericType>
inline constexpr void Speed<NumericType>::operator-=(
    const SoundSpeed<NumericType>& speed) noexcept {
  this->value -= speed.Value();
}
 
template <typename NumericType>
constexpr MassDensity<NumericType>::MassDensity(
    const IsentropicBulkModulus<NumericType>& isentropic_bulk_modulus,
    const SoundSpeed<NumericType>& sound_speed)
  : MassDensity<NumericType>(isentropic_bulk_modulus.Value() / std::pow(sound_speed.Value(), 2)) {}
 
template <typename NumericType>
constexpr IsentropicBulkModulus<NumericType>::IsentropicBulkModulus(
    const MassDensity<NumericType>& mass_density, const SoundSpeed<NumericType>& sound_speed)
  : IsentropicBulkModulus<NumericType>(mass_density.Value() * std::pow(sound_speed.Value(), 2)) {}
 
}  // namespace PhQ
 
namespace std {
 
template <typename NumericType>
struct hash<PhQ::SoundSpeed<NumericType>> {
  inline size_t operator()(const PhQ::SoundSpeed<NumericType>& sound_speed) const {
    return hash<NumericType>()(sound_speed.Value());
  }
};
 
}  // namespace std
 
#endif  // PHQ_SOUND_SPEED_HPP