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  • 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 */ 
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