Crate calcify

Calcify

A crate for 3-D and 4-D vector and matrix algebra, conceived for use in physics simulations. Builds out from a basic ThreeVec struct including most commonly used operations built in.

Notes

• All physics constants are exported in the top in SI units. To retrieve them in Planck or natural units call calcify::Consts::planck() or calcify::Consts::natural().

• FourMat::lambda() has been replaced by fn boost(initial: FourVec, v: ThreeVec). The math has been changed.

todo

Four-Momentum

Structs

Consts	Calcify consts in different unit systems
FourMat	Four Matrix
FourVec	Four Vector
ThreeMat	Three Matrix
ThreeVec	Three Vector

Enums

Sinv	Variants of S space-time invariant

Constants

BIG_G	Gravitational constant in SI (6.674_28e-11 m^3/(kg*s^2))
C_LIGHT	The speed of light in a vacuum in SI (299_792_458.0 m/s)
EP_NAUGHT	Permittivity of free space in SI (8.854_187_817e-12 F/m)
E_CHARGE	Elementary charge in SI (1.602_176_487e-19 C)
G_ALPHA	Gravitational coupling constant (1.752e-45 unitless)
H_BAR	Reduced Planck constant in SI (6.626_068_96e-34/2π J*S)
K_BOLTZ	Boltzmann constant in SI (1.380_650_4e-23 J/K)
MU_NAUGHT	Permeability of free space in SI (4π*10^-7 N/A^2)
M_ELECTRON	Electron mass in SI (9.109_382_15e-31 kg)
M_PROTON	Proton mass in SI (1.672_621_637e-27 kg)
PI	Re-export Rust's PI
Q_ALPHA	Fine structure constant (7.297_352_537_6e-3 unitless)

Functions

beta	Beta factor, |v| over the speed pf light in a vacuum, in SI. Returns a Result<f64,&'static str> which contains an Ok(f64), or an error string.
boost	Returns a FourVec, inside a Result, boosted into a frame of arbitrary velocity v. Each componant of v must be less than calcify::C_LIGHT. Uses a FourMat Lorentz Transformation tensor. If v = [0,0,0], then the boost tensor will be an identity by definition.
degrees_between	Return the angle between two vectors in degrees
gamma	Gamma, the lorentz factor, in SI.
radians_between	Return the angle between two vectors in radians