.. _physics-powerSpectrumPrimordialTransferred:

Transferred Primordial Power Spectrum
=====================================

Class providing the transferred primordial power spectrum :math:`T^2(k)P_\mathrm{prim}(k,t)`---the product of the primordial power spectrum :math:`P_\mathrm{prim}(k) \propto k^{n_s}` with the linear transfer function squared :math:`T^2(k)`, which encodes the suppression of power on small scales by radiation pressure before matter-radiation equality. The transferred spectrum is the starting point for computing the late-time matter power spectrum :math:`P(k,t) = D^2(t) T^2(k) P_\mathrm{prim}(k)` used in the mass variance, halo mass function, and clustering predictions.

**Default implementation:** ``powerSpectrumPrimordialTransferredSimple``

Methods
-------

``power`` → ``double precision``
   Return the (unnormalized) power in the transferred primordial power spectrum at the given ``wavenumber`` (specified in units of Mpc\ :math:`^{-1}`).

   * ``double precision, intent(in ) :: wavenumber, time``

``logarithmicDerivative`` → ``double precision``
   Return the logarithmic derivative with respect to wavenumber of the transferred primordial power spectrum at the given ``wavenumber`` (specified in units of Mpc\ :math:`^{-1}`).

   * ``double precision, intent(in ) :: wavenumber, time``

``growthIsWavenumberDependent`` → ``logical``
   Return true if the growth of the power spectrum is wavenumber-dependent.

.. _physics-powerSpectrumPrimordialTransferredFile:

``powerSpectrumPrimordialTransferredFile``
------------------------------------------

A transferred primordial spectrum class which reads the power spectrum from file and interpolates in it. The HDF5 file containing the data should have the following structure:

.. code-block:: none

    HDF5 "powerSpectrum.hdf5" {
    GROUP "/" {
       ATTRIBUTE "description" {
          DATATYPE  H5T_STRING {
             STRSIZE 71;
             STRPAD H5T_STR_NULLTERM;
             CSET H5T_CSET_ASCII;
             CTYPE H5T_C_S1;
          }
          DATASPACE  SCALAR
       }
       ATTRIBUTE "fileFormat" {
          DATATYPE  H5T_STD_I32LE
          DATASPACE  SCALAR
       }
       ATTRIBUTE "extrapolationWavenumber" {
          DATATYPE  H5T_STRING {
             STRSIZE 11;
             STRPAD H5T_STR_NULLTERM;
             CSET H5T_CSET_ASCII;
             CTYPE H5T_C_S1;
          }
          DATASPACE  SCALAR
       }
       ATTRIBUTE "extrapolationRedshift" {
          DATATYPE  H5T_STRING {
             STRSIZE 11;
             STRPAD H5T_STR_NULLTERM;
             CSET H5T_CSET_ASCII;
             CTYPE H5T_C_S1;
          }
          DATASPACE  SCALAR
       }
       GROUP "parameters" {
          ATTRIBUTE "HubbleConstant" {
             DATATYPE  H5T_STRING {
                STRSIZE 4;
                STRPAD H5T_STR_NULLTERM;
                CSET H5T_CSET_ASCII;
                CTYPE H5T_C_S1;
             }
             DATASPACE  SCALAR
          }
          ATTRIBUTE "OmegaBaryon" {
             DATATYPE  H5T_STRING {
                STRSIZE 6;
                STRPAD H5T_STR_NULLTERM;
                CSET H5T_CSET_ASCII;
                CTYPE H5T_C_S1;
             }
             DATASPACE  SCALAR
          }
          ATTRIBUTE "OmegaDarkEnergy" {
             DATATYPE  H5T_STRING {
                STRSIZE 5;
                STRPAD H5T_STR_NULLTERM;
                CSET H5T_CSET_ASCII;
                CTYPE H5T_C_S1;
             }
             DATASPACE  SCALAR
          }
          ATTRIBUTE "OmegaMatter" {
             DATATYPE  H5T_STRING {
                STRSIZE 5;
                STRPAD H5T_STR_NULLTERM;
                CSET H5T_CSET_ASCII;
                CTYPE H5T_C_S1;
             }
             DATASPACE  SCALAR
          }
       }
       DATASET "wavenumber" {
          DATATYPE  H5T_IEEE_F64LE
          DATASPACE  SIMPLE { ( 1000 ) / ( 1000 ) }
       }
       DATASET "redshift" {
          DATATYPE  H5T_IEEE_F64LE
          DATASPACE  SIMPLE { ( 10 ) / ( 10 ) }
       }
       DATASET "power" {
          DATATYPE  H5T_IEEE_F64LE
          DATASPACE  SIMPLE { ( 10 ) / ( 10 ), ( 1000 ) / ( 1000 ) }
       }
    }
    }

The `power` dataset should tabulate the transferred power spectrum as a function of :math:`(z,k)` where :math:`z` is redshift and :math:`k` is wavenumber.

**Methods**

* ``readFile`` — Read the named power spectrum file.

**Parameters**

* ``[fileName]`` (string) — The name of the file from which to read a tabulated transfer function.

.. _physics-powerSpectrumPrimordialTransferredSimple:

``powerSpectrumPrimordialTransferredSimple``
--------------------------------------------

Implements a simple transferred primordial power spectrum.

**(Default implementation)**

**Methods**

* ``calculationReset`` — Reset memoized calculations.