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152 lines
6.6 KiB
152 lines
6.6 KiB
from sympy.core.singleton import S
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from sympy.core.numbers import pi
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from sympy.physics.units import DimensionSystem, hertz, kilogram
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from sympy.physics.units.definitions import (
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G, Hz, J, N, Pa, W, c, g, kg, m, s, meter, gram, second, newton,
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joule, watt, pascal)
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from sympy.physics.units.definitions.dimension_definitions import (
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acceleration, action, energy, force, frequency, momentum,
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power, pressure, velocity, length, mass, time)
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from sympy.physics.units.prefixes import PREFIXES, prefix_unit
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from sympy.physics.units.prefixes import (
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kibi, mebi, gibi, tebi, pebi, exbi
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)
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from sympy.physics.units.definitions import (
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cd, K, coulomb, volt, ohm, siemens, farad, henry, tesla, weber, dioptre,
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lux, katal, gray, becquerel, inch, liter, julian_year,
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gravitational_constant, speed_of_light, elementary_charge, planck, hbar,
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electronvolt, avogadro_number, avogadro_constant, boltzmann_constant,
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stefan_boltzmann_constant, atomic_mass_constant, molar_gas_constant,
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faraday_constant, josephson_constant, von_klitzing_constant,
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acceleration_due_to_gravity, magnetic_constant, vacuum_permittivity,
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vacuum_impedance, coulomb_constant, atmosphere, bar, pound, psi, mmHg,
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milli_mass_unit, quart, lightyear, astronomical_unit, planck_mass,
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planck_time, planck_temperature, planck_length, planck_charge,
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planck_area, planck_volume, planck_momentum, planck_energy, planck_force,
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planck_power, planck_density, planck_energy_density, planck_intensity,
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planck_angular_frequency, planck_pressure, planck_current, planck_voltage,
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planck_impedance, planck_acceleration, bit, byte, kibibyte, mebibyte,
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gibibyte, tebibyte, pebibyte, exbibyte, curie, rutherford, radian, degree,
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steradian, angular_mil, atomic_mass_unit, gee, kPa, ampere, u0, kelvin,
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mol, mole, candela, electric_constant, boltzmann
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)
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dimsys_length_weight_time = DimensionSystem([
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# Dimensional dependencies for MKS base dimensions
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length,
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mass,
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time,
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], dimensional_dependencies=dict(
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# Dimensional dependencies for derived dimensions
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velocity=dict(length=1, time=-1),
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acceleration=dict(length=1, time=-2),
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momentum=dict(mass=1, length=1, time=-1),
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force=dict(mass=1, length=1, time=-2),
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energy=dict(mass=1, length=2, time=-2),
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power=dict(length=2, mass=1, time=-3),
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pressure=dict(mass=1, length=-1, time=-2),
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frequency=dict(time=-1),
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action=dict(length=2, mass=1, time=-1),
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volume=dict(length=3),
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))
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One = S.One
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# Base units:
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dimsys_length_weight_time.set_quantity_dimension(meter, length)
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dimsys_length_weight_time.set_quantity_scale_factor(meter, One)
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# gram; used to define its prefixed units
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dimsys_length_weight_time.set_quantity_dimension(gram, mass)
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dimsys_length_weight_time.set_quantity_scale_factor(gram, One)
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dimsys_length_weight_time.set_quantity_dimension(second, time)
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dimsys_length_weight_time.set_quantity_scale_factor(second, One)
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# derived units
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dimsys_length_weight_time.set_quantity_dimension(newton, force)
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dimsys_length_weight_time.set_quantity_scale_factor(newton, kilogram*meter/second**2)
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dimsys_length_weight_time.set_quantity_dimension(joule, energy)
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dimsys_length_weight_time.set_quantity_scale_factor(joule, newton*meter)
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dimsys_length_weight_time.set_quantity_dimension(watt, power)
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dimsys_length_weight_time.set_quantity_scale_factor(watt, joule/second)
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dimsys_length_weight_time.set_quantity_dimension(pascal, pressure)
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dimsys_length_weight_time.set_quantity_scale_factor(pascal, newton/meter**2)
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dimsys_length_weight_time.set_quantity_dimension(hertz, frequency)
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dimsys_length_weight_time.set_quantity_scale_factor(hertz, One)
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# Other derived units:
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dimsys_length_weight_time.set_quantity_dimension(dioptre, 1 / length)
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dimsys_length_weight_time.set_quantity_scale_factor(dioptre, 1/meter)
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# Common volume and area units
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dimsys_length_weight_time.set_quantity_dimension(liter, length ** 3)
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dimsys_length_weight_time.set_quantity_scale_factor(liter, meter**3 / 1000)
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# Newton constant
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# REF: NIST SP 959 (June 2019)
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dimsys_length_weight_time.set_quantity_dimension(gravitational_constant, length ** 3 * mass ** -1 * time ** -2)
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dimsys_length_weight_time.set_quantity_scale_factor(gravitational_constant, 6.67430e-11*m**3/(kg*s**2))
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# speed of light
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dimsys_length_weight_time.set_quantity_dimension(speed_of_light, velocity)
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dimsys_length_weight_time.set_quantity_scale_factor(speed_of_light, 299792458*meter/second)
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# Planck constant
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# REF: NIST SP 959 (June 2019)
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dimsys_length_weight_time.set_quantity_dimension(planck, action)
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dimsys_length_weight_time.set_quantity_scale_factor(planck, 6.62607015e-34*joule*second)
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# Reduced Planck constant
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# REF: NIST SP 959 (June 2019)
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dimsys_length_weight_time.set_quantity_dimension(hbar, action)
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dimsys_length_weight_time.set_quantity_scale_factor(hbar, planck / (2 * pi))
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__all__ = [
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'mmHg', 'atmosphere', 'newton', 'meter', 'vacuum_permittivity', 'pascal',
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'magnetic_constant', 'angular_mil', 'julian_year', 'weber', 'exbibyte',
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'liter', 'molar_gas_constant', 'faraday_constant', 'avogadro_constant',
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'planck_momentum', 'planck_density', 'gee', 'mol', 'bit', 'gray', 'kibi',
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'bar', 'curie', 'prefix_unit', 'PREFIXES', 'planck_time', 'gram',
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'candela', 'force', 'planck_intensity', 'energy', 'becquerel',
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'planck_acceleration', 'speed_of_light', 'dioptre', 'second', 'frequency',
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'Hz', 'power', 'lux', 'planck_current', 'momentum', 'tebibyte',
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'planck_power', 'degree', 'mebi', 'K', 'planck_volume',
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'quart', 'pressure', 'W', 'joule', 'boltzmann_constant', 'c', 'g',
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'planck_force', 'exbi', 's', 'watt', 'action', 'hbar', 'gibibyte',
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'DimensionSystem', 'cd', 'volt', 'planck_charge',
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'dimsys_length_weight_time', 'pebi', 'vacuum_impedance', 'planck',
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'farad', 'gravitational_constant', 'u0', 'hertz', 'tesla', 'steradian',
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'josephson_constant', 'planck_area', 'stefan_boltzmann_constant',
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'astronomical_unit', 'J', 'N', 'planck_voltage', 'planck_energy',
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'atomic_mass_constant', 'rutherford', 'elementary_charge', 'Pa',
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'planck_mass', 'henry', 'planck_angular_frequency', 'ohm', 'pound',
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'planck_pressure', 'G', 'avogadro_number', 'psi', 'von_klitzing_constant',
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'planck_length', 'radian', 'mole', 'acceleration',
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'planck_energy_density', 'mebibyte', 'length',
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'acceleration_due_to_gravity', 'planck_temperature', 'tebi', 'inch',
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'electronvolt', 'coulomb_constant', 'kelvin', 'kPa', 'boltzmann',
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'milli_mass_unit', 'gibi', 'planck_impedance', 'electric_constant', 'kg',
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'coulomb', 'siemens', 'byte', 'atomic_mass_unit', 'm', 'kibibyte',
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'kilogram', 'lightyear', 'mass', 'time', 'pebibyte', 'velocity',
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'ampere', 'katal',
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]
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