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@@ -537,16 +537,12 @@ |
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public: |
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///\name Initialization |
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/// |
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/// @{
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| 542 | 542 |
|
| 543 |
///\name Initialization |
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| 544 |
/// |
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| 545 |
/// @{
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| 546 |
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| 547 | 543 |
/// \brief Default constructor |
| 548 | 544 |
/// |
| 549 | 545 |
/// Constructor with constant seeding. |
| 550 | 546 |
Random() { core.initState(); }
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| 551 | 547 |
|
| 552 | 548 |
/// \brief Constructor with seed |
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@@ -705,18 +701,12 @@ |
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/// It returns a random real number from the range [a, b). |
| 706 | 702 |
template <typename Number> |
| 707 | 703 |
Number real(Number a, Number b) {
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| 708 | 704 |
return real<Number>() * (b - a) + a; |
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} |
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| 711 |
/// @} |
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///\name Uniform distributions |
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/// |
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/// @{
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/// \brief Returns a random real number from the range [0, 1) |
| 718 | 708 |
/// |
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/// It returns a random double from the range [0, 1). |
| 720 | 710 |
double operator()() {
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| 721 | 711 |
return real<double>(); |
| 722 | 712 |
} |
| ... | ... |
@@ -768,14 +758,12 @@ |
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/// type of this function is <tt>unsigned int</tt>. |
| 769 | 759 |
template <typename Number> |
| 770 | 760 |
Number uinteger() {
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| 771 | 761 |
return _random_bits::IntConversion<Number, Word>::convert(core); |
| 772 | 762 |
} |
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| 774 |
/// @} |
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| 775 |
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|
| 776 | 764 |
unsigned int uinteger() {
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| 777 | 765 |
return uinteger<unsigned int>(); |
| 778 | 766 |
} |
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|
| 780 | 768 |
/// \brief Returns a random integer |
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/// |
| ... | ... |
@@ -803,40 +791,39 @@ |
| 803 | 791 |
} |
| 804 | 792 |
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| 805 | 793 |
/// @} |
| 806 | 794 |
|
| 807 | 795 |
///\name Non-uniform distributions |
| 808 | 796 |
/// |
| 809 |
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| 810 | 797 |
///@{
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| 811 | 798 |
|
| 812 |
/// \brief Returns a random bool |
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/// \brief Returns a random bool with given probability of true result. |
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/// |
| 814 | 801 |
/// It returns a random bool with given probability of true result. |
| 815 | 802 |
bool boolean(double p) {
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| 816 | 803 |
return operator()() < p; |
| 817 | 804 |
} |
| 818 | 805 |
|
| 819 |
/// Standard Gauss distribution |
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| 806 |
/// Standard normal (Gauss) distribution |
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| 820 | 807 |
|
| 821 |
/// Standard Gauss distribution. |
|
| 808 |
/// Standard normal (Gauss) distribution. |
|
| 822 | 809 |
/// \note The Cartesian form of the Box-Muller |
| 823 | 810 |
/// transformation is used to generate a random normal distribution. |
| 824 | 811 |
double gauss() |
| 825 | 812 |
{
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| 826 | 813 |
double V1,V2,S; |
| 827 | 814 |
do {
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| 828 | 815 |
V1=2*real<double>()-1; |
| 829 | 816 |
V2=2*real<double>()-1; |
| 830 | 817 |
S=V1*V1+V2*V2; |
| 831 | 818 |
} while(S>=1); |
| 832 | 819 |
return std::sqrt(-2*std::log(S)/S)*V1; |
| 833 | 820 |
} |
| 834 |
/// Gauss distribution with given mean and standard deviation |
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| 821 |
/// Normal (Gauss) distribution with given mean and standard deviation |
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| 835 | 822 |
|
| 836 |
/// Gauss distribution with given mean and standard deviation. |
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| 823 |
/// Normal (Gauss) distribution with given mean and standard deviation. |
|
| 837 | 824 |
/// \sa gauss() |
| 838 | 825 |
double gauss(double mean,double std_dev) |
| 839 | 826 |
{
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| 840 | 827 |
return gauss()*std_dev+mean; |
| 841 | 828 |
} |
| 842 | 829 |
|
| ... | ... |
@@ -980,13 +967,12 @@ |
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} |
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///@} |
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|
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///\name Two dimensional distributions |
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/// |
| 986 |
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///@{
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| 988 | 974 |
|
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/// Uniform distribution on the full unit circle |
| 990 | 976 |
|
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/// Uniform distribution on the full unit circle. |
| 992 | 978 |
/// |
| ... | ... |
@@ -997,13 +983,13 @@ |
| 997 | 983 |
V1=2*real<double>()-1; |
| 998 | 984 |
V2=2*real<double>()-1; |
| 999 | 985 |
|
| 1000 | 986 |
} while(V1*V1+V2*V2>=1); |
| 1001 | 987 |
return dim2::Point<double>(V1,V2); |
| 1002 | 988 |
} |
| 1003 |
/// A kind of two dimensional Gauss distribution |
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| 989 |
/// A kind of two dimensional normal (Gauss) distribution |
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| 1004 | 990 |
|
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/// This function provides a turning symmetric two-dimensional distribution. |
| 1006 | 992 |
/// Both coordinates are of standard normal distribution, but they are not |
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/// independent. |
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/// |
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/// \note The coordinates are the two random variables provided by |
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