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Defines 77 formulas based on SI datatypes, e.g. SI::formula::wavelength(). More...
#include <SI/constants.h>Go to the source code of this file.
Namespaces | |
| namespace | SI |
| namespace | SI::formula |
Macros | |
| #define | FUNC [[nodiscard]] inline |
Functions | |
| FUNC length | SI::formula::hypotenuse_of_triangle (const length a, const length b) |
| Calculates the hypotenuse in a right triangle, based on Pythagorean equation: a² + b² = c² | |
| FUNC angle | SI::formula::angle1_in_triangle (const length o, const length h) |
| Calculates the angle in a right triangle from opposite (o) and hypotenuse (h). | |
| FUNC angle | SI::formula::angle2_in_triangle (const length a, const length h) |
| Calculates the angle in a right triangle from adjacent (a) and hypotenuse (h). | |
| FUNC angle | SI::formula::angle3_in_triangle (const length a, const length o) |
| Calculates the angle in a right triangle from adjacent (a) and opposite (o). | |
| FUNC area | SI::formula::area_of_triangle (const length b, const length h) |
| Calculates the area of a triangle from base (b) and height (h). | |
| FUNC length | SI::formula::perimeter_of_rectangle (const length l, const length b) |
| Calculates the perimeter of a rectangle from length (l) and base (b). | |
| FUNC area | SI::formula::area_of_rectangle (const length l, const length b) |
| Calculates the area of a rectangle from length (l) and base (b). | |
| FUNC length | SI::formula::perimeter_of_square (const length a) |
| Calculates the perimeter of a square from length (a). | |
| FUNC area | SI::formula::area_of_square (const length a) |
| Calculates the area of a square from length (a). | |
| FUNC area | SI::formula::area_of_trapezoid (const length b1, const length b2, const length h) |
| Calculates the area of a trapezoid from base 1 (b1), base 2 (b2) and height (h). | |
| FUNC length | SI::formula::circumference_of_circle (const length r) |
| Calculates the circumference of a circle from radius (r). | |
| FUNC length | SI::formula::radius_of_circumference (const length c) |
| Calculates the radius of a circle from circumference (c). | |
| FUNC area | SI::formula::area_of_circle (const length r) |
| Calculates the area of a circle from radius (r). | |
| FUNC length | SI::formula::perimeter_of_ellipse (const length a, const length b) |
| Calculates approximately(!) the perimeter of an ellipse from length of semi-major axis (a) and length of semi-minor axis (b). | |
| FUNC area | SI::formula::area_of_ellipse (const length a, const length b) |
| Calculates the area of an ellipse from radius (a) and (b). | |
| FUNC dimensionless | SI::formula::eccentricity_of_ellipse (const length a, const length b) |
| Calculates the eccentricity of an ellipse from radius (a) and (b). | |
| FUNC length | SI::formula::latus_rectum_of_ellipse (const length a, const length b) |
| Calculates the latus rectum of an ellipse from radius (a) and (b). | |
| FUNC length | SI::formula::distance (const length x1, const length y1, const length x2, const length y2) |
| Calculates the shortest distance between two points in 2D. | |
| FUNC area | SI::formula::area_of_cube (const length a) |
| Calculates the area of a cube from length (a). | |
| FUNC volume | SI::formula::volume_of_cube (const length a) |
| Calculates the volume of a cube from length (a). | |
| FUNC area | SI::formula::area_of_cylinder (const length r, const length h) |
| Calculates the area of a cylinder from radius (r) and height (h). | |
| FUNC volume | SI::formula::volume_of_cylinder (const length r, const length h) |
| Calculates the volume of a cylinder based on radius (r) and height (h). | |
| FUNC area | SI::formula::area_of_cone (const length r, const length h) |
| Calculates the area of a cone from radius (r) and height (h). | |
| FUNC volume | SI::formula::volume_of_cone (const length r, const length h) |
| Calculates the volume of a cone from radius (r) and height (h). | |
| FUNC area | SI::formula::area_of_sphere (const length r) |
| Calculates the area of a sphere from radius (r). | |
| FUNC volume | SI::formula::volume_of_sphere (const length r) |
| Calculates the volume of a sphere from radius (r). | |
| FUNC volume | SI::formula::volume_of_prism (const area A, const length h) |
| Calculates the volume of a prism from base area (A) and height (h). | |
| FUNC velocity | SI::formula::average_speed (const length distance, const time duration) |
| Calculates the average speed from distance and duration. | |
| FUNC energy | SI::formula::kinetic_energy (const mass m, const velocity v) |
| Calculates the kinetic energy of a non-rotating object of mass (m) traveling at velocity (v). | |
| FUNC time | SI::formula::time_of_free_fall (const length height, const acceleration gravity) |
| Calculates the free fall time from the given height. | |
| FUNC length | SI::formula::braking_distance (const velocity v0, const velocity v1, const acceleration deceleration) |
| Calculates the braking distance to brake from v0 to v1 with the given deceleration. | |
| FUNC acceleration | SI::formula::acceleration_for_distance (const velocity v0, const velocity v1, const length distance) |
| Calculates the acceleration necessary to accelerate from v0 to v1 within the given distance. | |
| FUNC velocity | SI::formula::final_velocity (const velocity i, const acceleration a, const SI::time t) |
| Calculates the final velocity based on initial velocity (i) with acceleration (a) for time (t). | |
| FUNC acceleration | SI::formula::acceleration_of (const velocity delta_v, const SI::time delta_t) |
| Calculates the acceleration from change in velocity (delta_v) and time interval (delta_t). | |
| FUNC dimensionless | SI::formula::wheel_rpm (const velocity v, const length r) |
| Calculates the revolutions per minute (RPM) from velocity (v) and wheel radius (r). | |
| FUNC velocity | SI::formula::wheel_speed (const length r, const dimensionless RPM) |
| Calculates the wheel speed from wheel radius (r) and revolutions per minute (RPM). | |
| FUNC length | SI::formula::turning_radius_of_vehicle (const length wheelbase, const angle steering_angle, const length tire_width) |
| Calculates the turning radius of wheeled vehicles. | |
| FUNC dimensionless | SI::formula::g_force_of_acceleration (const velocity v0, const velocity v1, const time t) |
| Calculates the G-force when accelerating from v0 to v1 within the given time. | |
| FUNC velocity | SI::formula::true_airspeed (const force lift_force, const dimensionless lift_coefficient, const area wing_surface, const density air_density) |
| Calculates the true airspeed (TAS). | |
| FUNC force | SI::formula::lift_force_of_wing (const dimensionless lift_coefficient, const area wing_surface, const density air_density, const velocity true_air_speed) |
| Calculates the lift force of an aircraft wing. | |
| FUNC dimensionless | SI::formula::Mach_number (const velocity v, const velocity speed_of_sound) |
| Calculates the Mach number from velocity (v) of moving aircraft at altitude's speed of sound. | |
| FUNC angle | SI::formula::glide_path (const length h, const length v) |
| Calculates the glide path from horizontal distance (h) and vertical change (v). | |
| FUNC dimensionless | SI::formula::glide_ratio (const length h, const length a) |
| Calculates the glide ratio from horizontal distance (h) and altitude lost (a). | |
| FUNC length | SI::formula::vertical_height (const angle glide_path, const length horizontal_distance) |
| Calculates the vertical height for the given glide path and horizontal distance. | |
| FUNC velocity | SI::formula::climb_rate (const velocity ground_speed, const angle climb_angle) |
| Calculates the climb rate for the given speed and climb angle. | |
| FUNC length | SI::formula::turn_radius (const velocity ground_speed, const angle bank_angle) |
| Calculates the turn radius at the given speed and bank angle. | |
| FUNC energy | SI::formula::gravitational_potential_energy (const mass m, const length h, const acceleration gravity) |
| Calculates the gravitational potential energy of a mass (m) at height (h) based on gravity (e.g. on Earth). | |
| FUNC force | SI::formula::gravitational_attractive_force (const mass m1, const mass m2, const length d) |
| Calculates the attractive force between two bodies of masses (m1) and (m2) with distance (d) between their centres of mass. | |
| FUNC velocity | SI::formula::gravitational_escape_velocity (const mass M, const length r) |
| Calculates the escape velocity from a Mass (M) of body (e.g. a planet) with radius of body (r). | |
| FUNC dimensionless | SI::formula::flattening_factor (const length Re, const length Rp) |
| Calculates the flattening factor (f) of an astronomical object from radius to equator (Re) and radius to pole (Rp). | |
| FUNC acceleration | SI::formula::local_gravity (const angle lat, const length h) |
| Calculates the theoretical local gravity at latitude (lat) and height above MSL (h). | |
| FUNC length | SI::formula::Schwarzschild_radius (const mass M) |
| Calculates the Schwarzschild radius of a black hole from it's mass (M). | |
| FUNC length | SI::formula::wavelength (const velocity v, const frequency f) |
| Calculates the wavelength from velocity (v) and frequency (f). | |
| FUNC electric_potential | SI::formula::sine_wave (const electric_potential V0, const frequency f, const SI::time t) |
| Calculates V(t) from peak voltage (V0), frequency (f), and time (t). | |
| FUNC velocity | SI::formula::speed_of_sound_in_air (const temperature T) |
| Calculates the speed of sound in air based on temperature (T). | |
| FUNC force | SI::formula::drag_in_fluid (const density p, const velocity u, const dimensionless cd, const area A) |
| Calculates the drag force based on mass density of the fluid (p), flow velocity (u), drag coefficient (cd) and reference area (A). | |
| FUNC frequency | SI::formula::frequency_of_chromatic_note (const int note, const int reference_note, const frequency reference_frequency) |
| Calculates the frequency of a chromatic music note. | |
| FUNC auto | SI::formula::Newtons_motion (const length s0, const velocity v0, const acceleration a, const time t) |
| FUNC auto | SI::formula::Lorentz_force (const double q, const velocity v, const double B) |
| Calculates the Lorentz force. | |
| FUNC temperature | SI::formula::windchill_temperature (const temperature air_temperature, const velocity wind_speed) |
| Calculates the windchill temperature. | |
| FUNC temperature | SI::formula::temperature_gradient (const length altitude) |
| Returns the temperature gradient per kilometer for the given geopotential altitude. | |
| FUNC density | SI::formula::density_of_dry_air (const pressure air_pressure, const temperature air_temperature) |
| Calculates the density of dry air. | |
| FUNC density | SI::formula::density_of (const mass m, const volume V) |
| Calculates the density from mass (m) and volume (V). | |
| FUNC mass | SI::formula::mass_of (const density p, const volume V) |
| Calculates the mass from density (p) and volume (V). | |
| FUNC volume | SI::formula::volume_of (const mass m, const density p) |
| Calculates the volume from mass (m) and density (p). | |
| FUNC dimensionless | SI::formula::BMI (const mass w, const length h) |
| Calculates the human body-mass index (BMI) from weight (w) and height (h). | |
| FUNC auto | SI::formula::consumed_electrical_power (const electric_current I, const electric_potential U) |
| Calculates the consumed electrical power of a current (I) and potential (U). | |
| FUNC auto | SI::formula::sound_intensity (const power power_of_sound_source, const length distance_from_sound_source) |
| Calculates the sound intensity of a sound source from a distance. | |
| FUNC length | SI::formula::ballistic_max_height (const velocity v0, const length h, const angle a, const acceleration g) |
| Calculates the max height of a bullet (without force of drag, wind, etc.), based on: initial launch velocity (v0), initial height (h), launch angle (a), and gravitation (g). | |
| FUNC length | SI::formula::ballistic_max_range (const velocity v0, const length h, const angle a, const acceleration g) |
| Calculates the max range of a bullet (without force of drag, wind, etc.), based on: initial launch velocity (v0), initial height (h), launch angle (a), and gravitation (g). | |
| FUNC time | SI::formula::ballistic_travel_time (const velocity v0, const length h, const angle a, const acceleration g) |
| Calculates the flight time of a bullet (without force of drag, wind, etc.), based on: initial launch velocity (v0), initial height (h), launch angle (a), and gravitation (g). | |
| FUNC specific_energy | SI::formula::absorbed_dose (const energy E, const mass m) |
| Calculates the amount of energy absorbed (E) from a source of radiation by some material per mass (m). | |
| FUNC velocity | SI::formula::min_of_array (velocity arr[], int n) |
| Returns the minimum velocity in the given array. | |
| FUNC velocity | SI::formula::max_of_array (velocity arr[], int n) |
| Returns the maximum velocity in the given array. | |
| FUNC velocity | SI::formula::avg_of_array (velocity arr[], int n) |
| Returns the average velocity in the given array. | |
| FUNC velocity | SI::formula::sum_of_array (velocity arr[], int n) |
| Returns the sum of all velocities in the given array. | |
| FUNC length | SI::formula::distance_on_Earth (angle lat1, angle long1, angle lat2, angle long2) |
| Calculates the distance between two lat/long coordinates on Earth (haversine formula). | |
Defines 77 formulas based on SI datatypes, e.g. SI::formula::wavelength().
Categories are: 2D, 3D, Moving Objects, Vehicle, Aircraft, Gravitation, Various, and References.
| #define FUNC [[nodiscard]] inline |
1.15.0