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ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation. |
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ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation. |
This module contains procedures and generic interfaces and constants for cosmological calculations. More...
Data Types | |
| interface | getDisAngNormed |
| Generate and return the cosmological Angular Diameter Distance normalized to Hubble Distance, given the user-specified cosmological parameters. More... | |
| interface | getDisComNormed |
| Generate and return the cosmological line-of-sight Comoving Distance normalized to Hubble Distance, given the user-specified cosmological parameters. More... | |
| interface | getDisComTransNormed |
| Generate and return the cosmological Transverse Comoving Distance normalized to Hubble Distance, given the user-specified cosmological parameters. More... | |
| interface | getDisComTransNormedWU10 |
| Generate and return the approximate to the cosmological Transverse Comoving Distance normalized to Hubble Distance, given the user-specified cosmological parameters with negligible Curvature ( \(\Omega_K\)) and Radiation ( \(\Omega_R\)) density parameters. More... | |
| interface | getDisLookbackNormed |
| Generate and return the cosmological Lookback Distance (or equivalently, the Lookback Time) at the desired redshift normalized to Hubble Distance (or equivalently, to Hubble Time), given the user-specified cosmological parameters. More... | |
| interface | getDisLumNormed |
| Generate and return the cosmological Luminosity Distance normalized to Hubble Distance, given the user-specified cosmological parameters. More... | |
| interface | getHubbleParamNormedSq |
| Generate and return the square of the dimensionless Hubble Parameter \(E(z)^2 = \big(\frac{H(z)}{H_0}\big)^2\) for the default or the specified cosmological parameters. More... | |
| interface | getSizeUnivNormed |
| Generate and return the cosmological size (or equivalently, the age) of the Universe at the desired redshift normalized to Hubble Distance (or equivalently, to Hubble Time), given the user-specified cosmological parameters. More... | |
| interface | getVolComDiffNormed |
Generate and return the cosmological Comoving Volume Element per unit solid angle of the sky (i.e., 1 Steradian normalized to Hubble Volume, given the user-specified cosmological parameters. More... | |
| interface | getVolComNormed |
| Generate and return the full-sky ( \(4\pi\) Steradian) cosmological Comoving Volume normalized to Hubble Volume, given the user-specified cosmological parameters. More... | |
| interface | setVolComDiffNormed |
Generate and return the cosmological Comoving Volume Differential (Element) per unit solid angle of the sky (i.e., 1 Steradian normalized to Hubble Volume, given the user-specified cosmological parameters. More... | |
Variables | |
| character(*, SK), parameter | MODULE_NAME = "@pm_cosmology" |
| real(RKB), parameter | YR2SEC = 31557600._RKB |
The scalar real constant of kind with highest available precision RKB representing the exact number of seconds in a year, based on the definition of the light year. See also MEAN_SECONDS_PER_YEAR. More... | |
| real(RKB), parameter | LIGHT_SPEED = 2.99792458e5_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact speed of light (km/s). More... | |
| real(RKB), parameter | LYR2CM = 946073047258080000._RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one light-year to centimeters. More... | |
| real(RKB), parameter | PIPC2M = 9.6939420213600000e16_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of \(\pi\) Parsecs to meters. More... | |
| real(RKB), parameter | MPC2CM = PIPC2M * 1.e8_RKB / acos(-1._RKB) |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Centimeters. More... | |
| real(RKB), parameter | MPC2KM = MPC2CM / 1.e5_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Kilometers. More... | |
| real(RKB), parameter | MPC2LY = MPC2CM / LYR2CM |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to light years LY. More... | |
| real(RKB), parameter | MPC2GLY = MPC2LY / 1.e9_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Giga light years GLY. More... | |
| real(RKB), parameter | LOG_MPC2CM = log(MPC2CM) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of MPC2CM. More... | |
| real(RKB), parameter | OMEGA_M = 0.31_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Dark Matter density in the \(\lambda\)CDM Cosmology. More... | |
| real(RKB), parameter | OMEGA_L = 0.69_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Dark Energy density in the \(\lambda\)CDM Cosmology. More... | |
| real(RKB), parameter | OMEGA_R = 0.0_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Radiation density in the \(\lambda\)CDM Cosmology. More... | |
| real(RKB), parameter | OMEGA_K = 0.0_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Curvature density in the \(\lambda\)CDM Cosmology. More... | |
| real(RKB), parameter | HUBBLE_CONST = 67.7_RKB |
The scalar real constant of kind with highest available precision RKB representing the Hubble constant in units of km/s/Mpc. More... | |
| real(RKB), parameter | LOG_LIGHT_SPEED = log(LIGHT_SPEED) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the speed of light. More... | |
| real(RKB), parameter | LOG_HUBBLE_CONST = log(HUBBLE_CONST) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble constant in units of km/s/Mpc. More... | |
| real(RKB), parameter | INV_HUBBLE_CONST = 1._RKB / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the inverse of the Hubble constant in units of Mpc*s/km. More... | |
| real(RKB), parameter | HUBBLE_DISTANCE_MPC = LIGHT_SPEED / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the Hubble Distance in units of Mpc (defined as the speed of light divided by the Hubble constant).See also HUBBLE_DISTANCE_GLY. More... | |
| real(RKB), parameter | HUBBLE_DISTANCE_GLY = HUBBLE_DISTANCE_MPC * MPC2GLY |
The scalar real constant of kind with highest available precision RKB representing the Hubble Distance in units of Giga light years GLY.See also HUBBLE_DISTANCE_MPC. More... | |
| real(RKB), parameter | LOG_HUBBLE_DISTANCE_MPC = log(HUBBLE_DISTANCE_MPC) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Distance in units of Mpc. More... | |
| real(RKB), parameter | LOG_HUBBLE_DISTANCE_CM = LOG_HUBBLE_DISTANCE_MPC + LOG_MPC2CM |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Distance in units of cm. More... | |
| real(RKB), parameter | HUBBLE_VOLUME_MPC3 = HUBBLE_DISTANCE_MPC**3 |
The scalar real constant of kind with highest available precision RKB representing the Hubble Volume in units of Mpc^3.See also HUBBLE_VOLUME_GLY3. More... | |
| real(RKB), parameter | HUBBLE_VOLUME_GLY3 = HUBBLE_VOLUME_MPC3 * MPC2GLY**3 |
The scalar real constant of kind with highest available precision RKB representing the Hubble Volume in units of Giga light years cubed GLY^3.See also HUBBLE_VOLUME_MPC3. More... | |
| real(RKB), parameter | LOG_HUBBLE_VOLUME_MPC3 = log(HUBBLE_VOLUME_MPC3) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Volume in units of Mpc^3. More... | |
| real(RKB), parameter | LOG_HUBBLE_VOLUME_CM3 = LOG_HUBBLE_VOLUME_MPC3 + LOG_MPC2CM * 3 |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Volume in units of cm^3. More... | |
| real(RKB), parameter | HUBBLE_TIME_SEC = MPC2KM / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the exact Hubble time in units of seconds.This the time the Universe needed to expand to its present size, assuming that the Hubble constant has remained unchanged since the Big Bang. It is defined as the reciprocal of the Hubble constant, \(\frac{1}{H_0}\). See "An Introduction to Modern Cosmology", Liddle 2003, page 57. More... | |
| real(RKB), parameter | HUBBLE_TIME_GYR = HUBBLE_DISTANCE_GLY |
The scalar real constant of kind with highest available precision RKB representing the approximate Hubble time in units of Giga-years.This the time the Universe needed to expand to its present size, assuming that the Hubble constant has remained unchanged since the Big Bang. It is defined as the reciprocal of the Hubble constant, \(\frac{1}{H_0}\). See "An Introduction to Modern Cosmology", Liddle 2003, page 57. More... | |
This module contains procedures and generic interfaces and constants for cosmological calculations.
In addition to common cosmological constants, this module also contains a set of generic interfaces for computing various measures of cosmological distances.
Specifically, the following measures are currently implemented:
The normalized comoving volume of the Universe as a function of redshift and cosmological model parameters can be computed via getVolComNormed.
The differential comoving volume of the Universe as a function of redshift and cosmological model parameters can be computed via getVolComDiffNormed.
The Hubble parameter (the ratio of the rate of change of the scale factor of the universe to the current value of the scale factor) can be computed using the generic interface getHubbleParamNormedSq for various cosmological models.
Final Remarks ⛓
If you believe this algorithm or its documentation can be improved, we appreciate your contribution and help to edit this page's documentation and source file on GitHub.
For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
This software is distributed under the MIT license with additional terms outlined below.
This software is available to the public under a highly permissive license.
Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.
| real(RKB), parameter pm_cosmology::HUBBLE_CONST = 67.7_RKB |
The scalar real constant of kind with highest available precision RKB representing the Hubble constant in units of km/s/Mpc.
Definition at line 104 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_DISTANCE_GLY = HUBBLE_DISTANCE_MPC * MPC2GLY |
The scalar real constant of kind with highest available precision RKB representing the Hubble Distance in units of Giga light years GLY.
See also HUBBLE_DISTANCE_MPC.
Definition at line 111 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_DISTANCE_MPC = LIGHT_SPEED / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the Hubble Distance in units of Mpc (defined as the speed of light divided by the Hubble constant).
See also HUBBLE_DISTANCE_GLY.
Definition at line 109 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_TIME_GYR = HUBBLE_DISTANCE_GLY |
The scalar real constant of kind with highest available precision RKB representing the approximate Hubble time in units of Giga-years.
This the time the Universe needed to expand to its present size, assuming that the Hubble constant has remained unchanged since the Big Bang. It is defined as the reciprocal of the Hubble constant, \(\frac{1}{H_0}\). See "An Introduction to Modern Cosmology", Liddle 2003, page 57.
Definition at line 127 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_TIME_SEC = MPC2KM / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the exact Hubble time in units of seconds.
This the time the Universe needed to expand to its present size, assuming that the Hubble constant has remained unchanged since the Big Bang. It is defined as the reciprocal of the Hubble constant, \(\frac{1}{H_0}\). See "An Introduction to Modern Cosmology", Liddle 2003, page 57.
Definition at line 123 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_VOLUME_GLY3 = HUBBLE_VOLUME_MPC3 * MPC2GLY**3 |
The scalar real constant of kind with highest available precision RKB representing the Hubble Volume in units of Giga light years cubed GLY^3.
See also HUBBLE_VOLUME_MPC3.
Definition at line 118 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::HUBBLE_VOLUME_MPC3 = HUBBLE_DISTANCE_MPC**3 |
The scalar real constant of kind with highest available precision RKB representing the Hubble Volume in units of Mpc^3.
See also HUBBLE_VOLUME_GLY3.
Definition at line 116 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::INV_HUBBLE_CONST = 1._RKB / HUBBLE_CONST |
The scalar real constant of kind with highest available precision RKB representing the inverse of the Hubble constant in units of Mpc*s/km.
Definition at line 107 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LIGHT_SPEED = 2.99792458e5_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact speed of light (km/s).
Definition at line 91 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_HUBBLE_CONST = log(HUBBLE_CONST) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble constant in units of km/s/Mpc.
Definition at line 106 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_HUBBLE_DISTANCE_CM = LOG_HUBBLE_DISTANCE_MPC + LOG_MPC2CM |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Distance in units of cm.
Definition at line 114 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_HUBBLE_DISTANCE_MPC = log(HUBBLE_DISTANCE_MPC) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Distance in units of Mpc.
Definition at line 113 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_HUBBLE_VOLUME_CM3 = LOG_HUBBLE_VOLUME_MPC3 + LOG_MPC2CM * 3 |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Volume in units of cm^3.
Definition at line 121 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_HUBBLE_VOLUME_MPC3 = log(HUBBLE_VOLUME_MPC3) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the Hubble Volume in units of Mpc^3.
Definition at line 120 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_LIGHT_SPEED = log(LIGHT_SPEED) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of the speed of light.
Definition at line 105 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LOG_MPC2CM = log(MPC2CM) |
The scalar real constant of kind with highest available precision RKB representing the natural logarithm of MPC2CM.
Definition at line 98 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::LYR2CM = 946073047258080000._RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one light-year to centimeters.
Definition at line 92 of file pm_cosmology.F90.
| character(*, SK), parameter pm_cosmology::MODULE_NAME = "@pm_cosmology" |
Definition at line 84 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::MPC2CM = PIPC2M * 1.e8_RKB / acos(-1._RKB) |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Centimeters.
Definition at line 94 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::MPC2GLY = MPC2LY / 1.e9_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Giga light years GLY.
Definition at line 97 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::MPC2KM = MPC2CM / 1.e5_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to Kilometers.
Definition at line 95 of file pm_cosmology.F90.
The scalar real constant of kind with highest available precision RKB representing the exact conversion of one Mega-Parsec (Mpc) to light years LY.
Definition at line 96 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::OMEGA_K = 0.0_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Curvature density in the \(\lambda\)CDM Cosmology.
Definition at line 102 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::OMEGA_L = 0.69_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Dark Energy density in the \(\lambda\)CDM Cosmology.
Definition at line 100 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::OMEGA_M = 0.31_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Dark Matter density in the \(\lambda\)CDM Cosmology.
Definition at line 99 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::OMEGA_R = 0.0_RKB |
The scalar real constant of kind with highest available precision RKB representing the current best estimate of the normalized Radiation density in the \(\lambda\)CDM Cosmology.
Definition at line 101 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::PIPC2M = 9.6939420213600000e16_RKB |
The scalar real constant of kind with highest available precision RKB representing the exact conversion of \(\pi\) Parsecs to meters.
Definition at line 93 of file pm_cosmology.F90.
| real(RKB), parameter pm_cosmology::YR2SEC = 31557600._RKB |
The scalar real constant of kind with highest available precision RKB representing the exact number of seconds in a year, based on the definition of the light year. See also MEAN_SECONDS_PER_YEAR.
Definition at line 90 of file pm_cosmology.F90.
1.9.3