Changeset e2af2a9 in sasmodels


Ignore:
Timestamp:
Mar 17, 2016 12:44:44 PM (9 years ago)
Author:
wojciech
Branches:
master, core_shell_microgels, costrafo411, magnetic_model, release_v0.94, release_v0.95, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
094e320
Parents:
bfef528
Message:

Documentation clean up in Bessel function

Location:
sasmodels/models/lib
Files:
3 edited

Legend:

Unmodified
Added
Removed

  • sasmodels/models/lib/j0_cephes.c

    rbfef528 re2af2a9  
    4444 */ 
    4545 
    46 /*                                                      y0.c 
    47  * 
    48  *      Bessel function of the second kind, order zero 
    49  * 
    50  * 
    51  * 
    52  * SYNOPSIS: 
    53  * 
    54  * double x, y, y0(); 
    55  * 
    56  * y = y0( x ); 
    57  * 
    58  * 
    59  * 
    60  * DESCRIPTION: 
    61  * 
    62  * Returns Bessel function of the second kind, of order 
    63  * zero, of the argument. 
    64  * 
    65  * The domain is divided into the intervals [0, 5] and 
    66  * (5, infinity). In the first interval a rational approximation 
    67  * R(x) is employed to compute 
    68  *   y0(x)  = R(x)  +   2 * log(x) * j0(x) / PI. 
    69  * Thus a call to j0() is required. 
    70  * 
    71  * In the second interval, the Hankel asymptotic expansion 
    72  * is employed with two rational functions of degree 6/6 
    73  * and 7/7. 
    74  * 
    75  * 
    76  * 
    77  * ACCURACY: 
    78  * 
    79  *  Absolute error, when y0(x) < 1; else relative error: 
    80  * 
    81  * arithmetic   domain     # trials      peak         rms 
    82  *    DEC       0, 30        9400       7.0e-17     7.9e-18 
    83  *    IEEE      0, 30       30000       1.3e-15     1.6e-16 
    84  * 
    85  */ 
    86  
    8746 
    8847/* 
    … …  
    9554 
    9655double j0( double ); 
    97  
    9856double j0(double x) { 
    9957 

  • sasmodels/models/lib/j1_cephes.c

    rbfef528 re2af2a9  
    3232 *    IEEE      0, 30       30000       2.6e-16     1.1e-16 
    3333 * 
    34  * 
    35  */ 
    36 /*                                                      y1.c 
    37  * 
    38  *      Bessel function of second kind of order one 
    39  * 
    40  * 
    41  * 
    42  * SYNOPSIS: 
    43  * 
    44  * double x, y, y1(); 
    45  * 
    46  * y = y1( x ); 
    47  * 
    48  * 
    49  * 
    50  * DESCRIPTION: 
    51  * 
    52  * Returns Bessel function of the second kind of order one 
    53  * of the argument. 
    54  * 
    55  * The domain is divided into the intervals [0, 8] and 
    56  * (8, infinity). In the first interval a 25 term Chebyshev 
    57  * expansion is used, and a call to j1() is required. 
    58  * In the second, the asymptotic trigonometric representation 
    59  * is employed using two rational functions of degree 5/5. 
    60  * 
    61  * 
    62  * 
    63  * ACCURACY: 
    64  * 
    65  *                      Absolute error: 
    66  * arithmetic   domain      # trials      peak         rms 
    67  *    DEC       0, 30       10000       8.6e-17     1.3e-17 
    68  *    IEEE      0, 30       30000       1.0e-15     1.3e-16 
    69  * 
    70  * (error criterion relative when |y1| > 1). 
    7134 * 
    7235 */ 

  • sasmodels/models/lib/polevl.c

    r3936ad3 re2af2a9  
    5050Direct inquiries to 30 Frost Street, Cambridge, MA 02140 
    5151*/ 
     52 
    5253double polevl( double x, double coef[8], int N ); 
    5354double p1evl( double x, double coef[8], int N ); 
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