Changeset fba9ca0 in sasmodels for doc


Ignore:
Timestamp:
Oct 12, 2018 1:50:37 PM (6 years ago)
Author:
Paul Kienzle <pkienzle@…>
Branches:
master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
57c609b
Parents:
353e899
Message:

add gammaln and gammainc to the opencl math library

File:
1 edited

Legend:

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  • doc/guide/plugin.rst

    r2015f02 rfba9ca0  
    428428        def random(): 
    429429        ... 
    430          
    431 This function provides a model-specific random parameter set which shows model  
    432 features in the USANS to SANS range.  For example, core-shell sphere sets the  
    433 outer radius of the sphere logarithmically in `[20, 20,000]`, which sets the Q  
    434 value for the transition from flat to falling.  It then uses a beta distribution  
    435 to set the percentage of the shape which is shell, giving a preference for very  
    436 thin or very thick shells (but never 0% or 100%).  Using `-sets=10` in sascomp  
    437 should show a reasonable variety of curves over the default sascomp q range.   
    438 The parameter set is returned as a dictionary of `{parameter: value, ...}`.   
    439 Any model parameters not included in the dictionary will default according to  
     430 
     431This function provides a model-specific random parameter set which shows model 
     432features in the USANS to SANS range.  For example, core-shell sphere sets the 
     433outer radius of the sphere logarithmically in `[20, 20,000]`, which sets the Q 
     434value for the transition from flat to falling.  It then uses a beta distribution 
     435to set the percentage of the shape which is shell, giving a preference for very 
     436thin or very thick shells (but never 0% or 100%).  Using `-sets=10` in sascomp 
     437should show a reasonable variety of curves over the default sascomp q range. 
     438The parameter set is returned as a dictionary of `{parameter: value, ...}`. 
     439Any model parameters not included in the dictionary will default according to 
    440440the code in the `_randomize_one()` function from sasmodels/compare.py. 
    441441 
     
    701701    erf, erfc, tgamma, lgamma:  **do not use** 
    702702        Special functions that should be part of the standard, but are missing 
    703         or inaccurate on some platforms. Use sas_erf, sas_erfc and sas_gamma 
    704         instead (see below). Note: lgamma(x) has not yet been tested. 
     703        or inaccurate on some platforms. Use sas_erf, sas_erfc, sas_gamma 
     704        and sas_lgamma instead (see below). 
    705705 
    706706Some non-standard constants and functions are also provided: 
     
    769769        Gamma function sas_gamma\ $(x) = \Gamma(x)$. 
    770770 
    771         The standard math function, tgamma(x) is unstable for $x < 1$ 
     771        The standard math function, tgamma(x), is unstable for $x < 1$ 
    772772        on some platforms. 
    773773 
    774774        :code:`source = ["lib/sas_gamma.c", ...]` 
    775775        (`sas_gamma.c <https://github.com/SasView/sasmodels/tree/master/sasmodels/models/lib/sas_gamma.c>`_) 
     776 
     777    sas_gammaln(x): 
     778        log gamma function sas_gammaln\ $(x) = \log \Gamma(|x|)$. 
     779 
     780        The standard math function, lgamma(x), is incorrect for single 
     781        precision on some platforms. 
     782 
     783        :code:`source = ["lib/sas_gammainc.c", ...]` 
     784        (`sas_gammainc.c <https://github.com/SasView/sasmodels/tree/master/sasmodels/models/lib/sas_gammainc.c>`_) 
     785 
     786    sas_gammainc(a, x), sas_gammaincc(a, x): 
     787        Incomplete gamma function 
     788        sas_gammainc\ $(a, x) = \int_0^x t^{a-1}e^{-t}\,dt / \Gamma(a)$ 
     789        and complementary incomplete gamma function 
     790        sas_gammaincc\ $(a, x) = \int_x^\infty t^{a-1}e^{-t}\,dt / \Gamma(a)$ 
     791 
     792        :code:`source = ["lib/sas_gammainc.c", ...]` 
     793        (`sas_gammainc.c <https://github.com/SasView/sasmodels/tree/master/sasmodels/models/lib/sas_gammainc.c>`_) 
    776794 
    777795    sas_erf(x), sas_erfc(x): 
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