mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2024-11-17 17:42:02 -05:00
172 lines
6.9 KiB
C++
172 lines
6.9 KiB
C++
// Copyright Christopher Kormanyos 2013.
|
|
// Copyright Paul A. Bristow 2013.
|
|
// Copyright John Maddock 2013.
|
|
|
|
// Distributed under the Boost Software License, Version 1.0.
|
|
// (See accompanying file LICENSE_1_0.txt or
|
|
// copy at http://www.boost.org/LICENSE_1_0.txt).
|
|
|
|
#ifdef _MSC_VER
|
|
# pragma warning (disable : 4512) // assignment operator could not be generated.
|
|
# pragma warning (disable : 4996) // assignment operator could not be generated.
|
|
#endif
|
|
|
|
#include <iostream>
|
|
#include <limits>
|
|
#include <vector>
|
|
#include <algorithm>
|
|
#include <iomanip>
|
|
#include <exception>
|
|
|
|
// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
|
|
// http://mathworld.wolfram.com/BesselFunctionZeros.html
|
|
// Test values can be calculated using [@wolframalpha.com WolframAplha]
|
|
// See also http://dlmf.nist.gov/10.21
|
|
|
|
//[bessel_errors_example_1
|
|
|
|
/*`[h5 Error messages from 'bad' input]
|
|
|
|
Another example demonstrates calculating zeros of the Bessel functions
|
|
showing the error messages from 'bad' input is handled by throwing exceptions.
|
|
|
|
To use the functions for finding zeros of the functions we need:
|
|
*/
|
|
#include <boost/math/special_functions/bessel.hpp>
|
|
#include <boost/math/special_functions/airy.hpp>
|
|
|
|
//] [/bessel_errors_example_1]
|
|
|
|
int main()
|
|
{
|
|
//[bessel_errors_example_2
|
|
|
|
/*`[tip It is always wise to place all code using Boost.Math inside try'n'catch blocks;
|
|
this will ensure that helpful error messages can be shown when exceptional conditions arise.]
|
|
|
|
Examples below show messages from several 'bad' arguments that throw a `domain_error` exception.
|
|
*/
|
|
try
|
|
{ // Try a zero order v.
|
|
float dodgy_root = boost::math::cyl_bessel_j_zero(0.F, 0);
|
|
std::cout << "boost::math::cyl_bessel_j_zero(0.F, 0) " << dodgy_root << std::endl;
|
|
// Thrown exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int):
|
|
// Requested the 0'th zero of J0, but the rank must be > 0 !
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
|
|
/*`[note The type shown in the error message is the type [*after promotion],
|
|
using __precision_policy and __promotion_policy, from `float` to `double` in this case.]
|
|
|
|
In this example the promotion goes:
|
|
|
|
# Arguments are `float` and `int`.
|
|
# Treat `int` "as if" it were a `double`, so arguments are `float` and `double`.
|
|
# Common type is `double` - so that's the precision we want (and the type that will be returned).
|
|
# Evaluate internally as `double` for full `float` precision.
|
|
|
|
See full code for other examples that promote from `double` to `long double`.
|
|
|
|
Other examples of 'bad' inputs like infinity and NaN are below.
|
|
Some compiler warnings indicate that 'bad' values are detected at compile time.
|
|
*/
|
|
|
|
try
|
|
{ // order v = inf
|
|
std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << std::endl;
|
|
double inf = std::numeric_limits<double>::infinity();
|
|
double inf_root = boost::math::cyl_bessel_j_zero(inf, 1);
|
|
std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl;
|
|
// Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
|
|
// Order argument is 1.#INF, but must be finite >= 0 !
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
|
|
try
|
|
{ // order v = NaN, rank m = 1
|
|
std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << std::endl;
|
|
double nan = std::numeric_limits<double>::quiet_NaN();
|
|
double nan_root = boost::math::cyl_bessel_j_zero(nan, 1);
|
|
std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << nan_root << std::endl;
|
|
// Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
|
|
// Order argument is 1.#QNAN, but must be finite >= 0 !
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
|
|
/*`The output from other examples are shown appended to the full code listing.
|
|
*/
|
|
//] [/bessel_errors_example_2]
|
|
try
|
|
{ // Try a zero rank m.
|
|
std::cout << "boost::math::cyl_neumann_zero(0.0, 0) " << std::endl;
|
|
double dodgy_root = boost::math::cyl_bessel_j_zero(0.0, 0);
|
|
// warning C4146: unary minus operator applied to unsigned type, result still unsigned.
|
|
std::cout << "boost::math::cyl_neumann_zero(0.0, -1) " << dodgy_root << std::endl;
|
|
// boost::math::cyl_neumann_zero(0.0, -1) 6.74652e+009
|
|
// This *should* fail because m is unreasonably large.
|
|
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
|
|
try
|
|
{ // m = inf
|
|
std::cout << "boost::math::cyl_bessel_j_zero(0.0, inf) " << std::endl;
|
|
double inf = std::numeric_limits<double>::infinity();
|
|
double inf_root = boost::math::cyl_bessel_j_zero(0.0, inf);
|
|
// warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
|
|
std::cout << "boost::math::cyl_bessel_j_zero(0.0, inf) " << inf_root << std::endl;
|
|
// Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int):
|
|
// Requested the 0'th zero, but must be > 0 !
|
|
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
|
|
try
|
|
{ // m = NaN
|
|
double nan = std::numeric_limits<double>::quiet_NaN();
|
|
double nan_root = boost::math::airy_ai_zero<double>(nan);
|
|
// warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
|
|
std::cout << "boost::math::airy_ai_zero<double>(nan) " << nan_root << std::endl;
|
|
// Thrown exception Error in function boost::math::airy_ai_zero<double>(double,double):
|
|
// The requested rank of the zero is 0, but must be 1 or more !
|
|
}
|
|
catch (std::exception& ex)
|
|
{
|
|
std::cout << "Thrown exception " << ex.what() << std::endl;
|
|
}
|
|
} // int main()
|
|
|
|
/*
|
|
Output:
|
|
|
|
Description: Autorun "J:\Cpp\big_number\Debug\bessel_errors_example.exe"
|
|
Thrown exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Requested the 0'th zero of J0, but the rank must be > 0 !
|
|
boost::math::cyl_bessel_j_zero(inf, 1)
|
|
Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#INF, but must be finite >= 0 !
|
|
boost::math::cyl_bessel_j_zero(nan, 1)
|
|
Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#QNAN, but must be finite >= 0 !
|
|
boost::math::cyl_neumann_zero(0.0, 0)
|
|
Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the 0'th zero of J0, but the rank must be > 0 !
|
|
boost::math::cyl_bessel_j_zero(0.0, inf)
|
|
Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the -2147483648'th zero, but the rank must be positive !
|
|
Thrown exception Error in function boost::math::airy_ai_zero<double>(double,double): The requested rank of the zero is 0, but must be 1 or more !
|
|
|
|
|
|
*/
|
|
|