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Update gcd/lcm docs to point to Boost.Integer.
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[mathpart gcd_lcm Integer Utilities (Greatest Common Divisor and Least Common Multiple)]
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[section Introduction]
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This code has now been moved to Boost.Integer, please see [@http://www.boost.org/doc/libs/release/libs/integer/doc/html/index.html here].
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The class and function templates in `<boost/math/common_factor.hpp>`
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provide both run-time and compile-time evaluation of the greatest common divisor
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(GCD) or least common multiple (LCM) of two integers.
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These facilities are useful for many numeric-oriented generic
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programming problems.
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[endsect] [/section Introduction]
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[section Synopsis]
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namespace boost
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{
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namespace math
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{
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template < typename IntegerType >
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class gcd_evaluator;
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template < typename IntegerType >
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class lcm_evaluator;
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template < typename IntegerType >
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constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b );
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template < typename IntegerType, typename... Args>
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constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b, Args const&... args);
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template < typename ForwardIterator >
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std::pair<typename std::iterator_traits<I>::value_type, I> gcd_range(I first, I last);
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template < typename IntegerType >
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constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b );
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template < typename IntegerType, typename... Args>
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constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b, Args const&... args);
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template < typename ForwardIterator >
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std::pair<typename std::iterator_traits<I>::value_type, I> lcm_range(I first, I last);
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typedef ``['see-below]`` static_gcd_type;
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct static_gcd;
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct static_lcm;
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}
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}
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[endsect] [/section Introduction]
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[section GCD Function Object]
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[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
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template < typename IntegerType >
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class boost::math::gcd_evaluator
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{
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public:
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// Types
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typedef IntegerType result_type;
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typedef IntegerType first_argument_type;
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typedef IntegerType second_argument_type;
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// Function object interface
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result_type operator ()( first_argument_type const &a,
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second_argument_type const &b ) const;
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};
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The `boost::math::gcd`_evaluator class template defines a function object
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class to return the greatest common divisor of two integers.
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The template is parameterized by a single type, called `IntegerType` here.
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This type should be a numeric type that represents integers.
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The result of the function object is always nonnegative, even if either of
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the operator arguments is negative.
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This function object class template is used in the corresponding version of
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the GCD function template. If a numeric type wants to customize evaluations
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of its greatest common divisors, then the type should specialize on the
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`gcd_evaluator` class template.
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[endsect] [/section GCD Function Object]
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[section LCM Function Object]
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[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
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template < typename IntegerType >
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class boost::math::lcm_evaluator
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{
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public:
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// Types
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typedef IntegerType result_type;
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typedef IntegerType first_argument_type;
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typedef IntegerType second_argument_type;
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// Function object interface
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result_type operator ()( first_argument_type const &a,
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second_argument_type const &b ) const;
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};
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The `boost::math::lcm_evaluator` class template defines a function object
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class to return the least common multiple of two integers. The template
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is parameterized by a single type, called `IntegerType `here. This type
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should be a numeric type that represents integers. The result of the
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function object is always nonnegative, even if either of the operator
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arguments is negative. If the least common multiple is beyond the range
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of the integer type, the results are undefined.
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This function object class template is used in the corresponding version
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of the LCM function template. If a numeric type wants to customize
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evaluations of its least common multiples, then the type should
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specialize on the `lcm_evaluator` class template.
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[endsect] [/section LCM Function Object]
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[section:run_time Run-time GCD & LCM Determination]
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[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
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template < typename IntegerType >
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constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b );
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template < typename IntegerType, typename... Args>
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constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b, Args const&... args);
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template < typename ForwardIterator >
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std::pair<typename std::iterator_traits<I>::value_type, I> gcd_range(I first, I last);
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template < typename IntegerType >
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constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b );
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template < typename IntegerType, typename... Args>
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constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b, Args const&... args);
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template < typename ForwardIterator >
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std::pair<typename std::iterator_traits<I>::value_type, I> lcm_range(I first, I last);
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The `boost::math::gcd` function template returns the greatest common
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(nonnegative) divisor of the two integers passed to it.
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`boost::math::gcd_range` is the iteration of the above gcd algorithm over a
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range, returning the greatest common divisor of all the elements. The algorithm
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terminates when the gcd reaches unity or the end of the range. Thus it also
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returns the iterator after the last element inspected because this may not be
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equal to the end of the range. The variadic version of `gcd` behaves similarly
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but does not indicate which input value caused the gcd to reach unity.
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The boost::math::lcm function template returns the least common
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(nonnegative) multiple of the two integers passed to it.
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As with gcd, there are range and variadic versions of the function for
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more than 2 arguments.
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[endsect] [/section:run_time Run-time GCD & LCM Determination]
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[section:compile_time Compile-time GCD and LCM determination]
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[*Header: ] [@../../../../boost/math/common_factor_ct.hpp <boost/math/common_factor_ct.hpp>]
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typedef ``['unspecified]`` static_gcd_type;
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct boost::math::static_gcd : public mpl::integral_c<static_gcd_type, implementation_defined>
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{
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};
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct boost::math::static_lcm : public mpl::integral_c<static_gcd_type, implementation_defined>
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{
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};
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The type `static_gcd_type` is the widest unsigned-integer-type that is supported
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for use in integral-constant-expressions by the compiler. Usually this
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the same type as `boost::uintmax_t`, but may fall back to being `unsigned long`
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for some older compilers.
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The boost::math::static_gcd and boost::math::static_lcm class templates
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take two value-based template parameters of the ['static_gcd_type] type
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and inherit from the type `boost::mpl::integral_c`.
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Inherited from the base class, they have a member /value/
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that is the greatest common factor or least
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common multiple, respectively, of the template arguments.
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A compile-time error will occur if the least common multiple
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is beyond the range of `static_gcd_type`.
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[h3 Example]
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#include <boost/math/common_factor.hpp>
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#include <algorithm>
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#include <iterator>
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#include <iostream>
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int main()
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{
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using std::cout;
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using std::endl;
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cout << "The GCD and LCM of 6 and 15 are "
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<< boost::math::gcd(6, 15) << " and "
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<< boost::math::lcm(6, 15) << ", respectively."
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<< endl;
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cout << "The GCD and LCM of 8 and 9 are "
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<< boost::math::static_gcd<8, 9>::value
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<< " and "
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<< boost::math::static_lcm<8, 9>::value
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<< ", respectively." << endl;
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int a[] = { 4, 5, 6 }, b[] = { 7, 8, 9 }, c[3];
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std::transform( a, a + 3, b, c, boost::math::gcd_evaluator<int>() );
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std::copy( c, c + 3, std::ostream_iterator<int>(cout, " ") );
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}
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[endsect] [/section:compile_time Compile time GCD and LCM determination]
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[section:gcd_header Header <boost/math/common_factor.hpp>]
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This header simply includes the headers
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[@../../../../boost/math/common_factor_ct.hpp <boost/math/common_factor_ct.hpp>]
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and [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>].
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[note This is a legacy header: it used to contain the actual implementation,
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but the compile-time and run-time facilities
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were moved to separate headers (since they were independent of each other).]
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[endsect] [/section:gcd_header Header <boost/math/common_factor.hpp>]
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[section:demo Demonstration Program]
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The program [@../../../../libs/math/test/common_factor_test.cpp common_factor_test.cpp]
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is a demonstration of the results from
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instantiating various examples of the run-time GCD and LCM function
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templates and the compile-time GCD and LCM class templates.
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(The run-time GCD and LCM class templates are tested indirectly through
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the run-time function templates.)
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[endsect] [/section:demo Demonstration Program]
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[section Rationale]
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The greatest common divisor and least common multiple functions are
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greatly used in some numeric contexts, including some of the other
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Boost libraries. Centralizing these functions to one header improves
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code factoring and eases maintainence.
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[endsect] [/section Rationale]
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[section:gcd_history History]
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* 13 May 2013 Moved into main Boost.Math Quickbook documentation.
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* 17 Dec 2005: Converted documentation to Quickbook Format.
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* 2 Jul 2002: Compile-time and run-time items separated to new headers.
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* 7 Nov 2001: Initial version
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[endsect] [/section:gcd_history History]
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[section:gcd_credits Credits]
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The author of the Boost compilation of GCD and LCM computations is
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Daryle Walker. The code was prompted by existing code hiding in the
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implementations of Paul Moore's rational library and Steve Cleary's
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pool library. The code had updates by Helmut Zeisel.
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[endsect] [/section:gcd_credits Credits]
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Note that for the time being the headers `<boost/math/common_factor.hpp>`, `<boost/math/common_factor_ct.hpp>` and `<boost/math/common_factor_rt.hpp>` will continue to exist
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and redirect to the moved headers.
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[endmathpart] [/mathpart gcd_lcm Integer Utilities (Greatest Common Divisor and Least Common Multiple)]
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@ -7,7 +7,7 @@
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<link rel="home" href="index.html" title="Math Toolkit 2.5.2">
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<link rel="next" href="math_toolkit/introduction.html" title="Introduction">
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<link rel="next" href="rooting.html" title="Chapter 12. Tools: Root Finding & Minimization Algorithms, Polynomial Arithmetic & Evaluation">
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</head>
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<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
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<table cellpadding="2" width="100%"><tr>
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@ -20,27 +20,20 @@
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</tr></table>
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<hr>
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<div class="spirit-nav">
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<a accesskey="p" href="math_toolkit/oct_todo.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/introduction.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
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</div>
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<div class="chapter">
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<div class="titlepage"><div><div><h1 class="title">
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<a name="gcd_lcm"></a>Chapter 11. Integer Utilities (Greatest Common Divisor and Least Common Multiple)</h1></div></div></div>
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<div class="toc">
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<p><b>Table of Contents</b></p>
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<dl>
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<dt><span class="section"><a href="math_toolkit/introduction.html">Introduction</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/synopsis.html">Synopsis</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gcd_function_object.html">GCD Function Object</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/lcm_function_object.html">LCM Function Object</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/run_time.html">Run-time GCD & LCM Determination</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/compile_time.html">Compile-time GCD and LCM determination</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gcd_header.html">Header <boost/math/common_factor.hpp></a></span></dt>
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<dt><span class="section"><a href="math_toolkit/demo.html">Demonstration Program</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/rationale0.html">Rationale</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gcd_history.html">History</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gcd_credits.html">Credits</a></span></dt>
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</dl>
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</div>
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<p>
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This code has now been moved to Boost.Integer, please see <a href="http://www.boost.org/doc/libs/release/libs/integer/doc/html/index.html" target="_top">here</a>.
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</p>
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<p>
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Note that for the time being the headers <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">common_factor</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code>,
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<code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">common_factor_ct</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> and
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<code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">common_factor_rt</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> will
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continue to exist and redirect to the moved headers.
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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@ -55,7 +48,7 @@
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</tr></table>
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<hr>
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<div class="spirit-nav">
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<a accesskey="p" href="math_toolkit/oct_todo.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/introduction.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
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<a accesskey="p" href="math_toolkit/oct_todo.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="rooting.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
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</div>
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</body>
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</html>
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@ -116,7 +116,7 @@ This manual is also available in <a href="http://sourceforge.net/projects/boost/
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</div>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"><p><small>Last revised: March 02, 2017 at 18:50:19 GMT</small></p></td>
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<td align="left"><p><small>Last revised: April 24, 2017 at 18:38:47 GMT</small></p></td>
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<td align="right"><div class="copyright-footer"></div></td>
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<hr>
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@ -24,7 +24,7 @@
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</div>
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<div class="section">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1713154"></a>Function Index</h2></div></div></div>
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<a name="id1720618"></a>Function Index</h2></div></div></div>
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<div class="variablelist"><dl class="variablelist">
|
||||
<dt>
|
||||
@ -1310,10 +1310,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses"><span class="index-entry-level-1">Incomplete Gamma Function Inverses</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">gcd</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">Synopsis</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">get</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
|
||||
@ -1715,10 +1711,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials"><span class="index-entry-level-1">Laguerre (and Associated) Polynomials</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">lcm</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">Synopsis</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">ldexp</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li></ul></div>
|
||||
</li>
|
||||
@ -1763,13 +1755,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">Legendre (and Associated) Polynomials</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">less</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test"><span class="index-entry-level-1">Comparing the means of two samples with the Students-t test</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
|
||||
</ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">lgamma</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
|
||||
@ -2192,10 +2177,8 @@
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">Computing the Fifth Root</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/cf.html" title="Continued Fraction Evaluation"><span class="index-entry-level-1">Continued Fraction Evaluation</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">Finding the Cubed Root With and Without Derivatives</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gcd_function_object.html" title="GCD Function Object"><span class="index-entry-level-1">GCD Function Object</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lcm_function_object.html" title="LCM Function Object"><span class="index-entry-level-1">LCM Function Object</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/series_evaluation.html" title="Series Evaluation"><span class="index-entry-level-1">Series Evaluation</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/roots_noderiv/root_termination.html" title="Termination Condition Functors"><span class="index-entry-level-1">Termination Condition Functors</span></a></p></li>
|
||||
|
||||
@ -24,7 +24,7 @@
|
||||
</div>
|
||||
<div class="section">
|
||||
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
||||
<a name="id1738501"></a>Class Index</h2></div></div></div>
|
||||
<a name="id1745440"></a>Class Index</h2></div></div></div>
|
||||
<p><a class="link" href="s02.html#idx_id_30">A</a> <a class="link" href="s02.html#idx_id_31">B</a> <a class="link" href="s02.html#idx_id_32">C</a> <a class="link" href="s02.html#idx_id_33">D</a> <a class="link" href="s02.html#idx_id_34">E</a> <a class="link" href="s02.html#idx_id_35">F</a> <a class="link" href="s02.html#idx_id_36">G</a> <a class="link" href="s02.html#idx_id_37">H</a> <a class="link" href="s02.html#idx_id_38">I</a> <a class="link" href="s02.html#idx_id_41">L</a> <a class="link" href="s02.html#idx_id_42">M</a> <a class="link" href="s02.html#idx_id_43">N</a> <a class="link" href="s02.html#idx_id_44">O</a> <a class="link" href="s02.html#idx_id_45">P</a> <a class="link" href="s02.html#idx_id_46">Q</a> <a class="link" href="s02.html#idx_id_47">R</a> <a class="link" href="s02.html#idx_id_48">S</a> <a class="link" href="s02.html#idx_id_49">T</a> <a class="link" href="s02.html#idx_id_50">U</a> <a class="link" href="s02.html#idx_id_52">W</a></p>
|
||||
<div class="variablelist"><dl class="variablelist">
|
||||
<dt>
|
||||
|
||||
@ -24,7 +24,7 @@
|
||||
</div>
|
||||
<div class="section">
|
||||
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
||||
<a name="id1741909"></a>Typedef Index</h2></div></div></div>
|
||||
<a name="id1750353"></a>Typedef Index</h2></div></div></div>
|
||||
<p><a class="link" href="s03.html#idx_id_58">A</a> <a class="link" href="s03.html#idx_id_59">B</a> <a class="link" href="s03.html#idx_id_60">C</a> <a class="link" href="s03.html#idx_id_61">D</a> <a class="link" href="s03.html#idx_id_62">E</a> <a class="link" href="s03.html#idx_id_63">F</a> <a class="link" href="s03.html#idx_id_64">G</a> <a class="link" href="s03.html#idx_id_65">H</a> <a class="link" href="s03.html#idx_id_66">I</a> <a class="link" href="s03.html#idx_id_69">L</a> <a class="link" href="s03.html#idx_id_71">N</a> <a class="link" href="s03.html#idx_id_72">O</a> <a class="link" href="s03.html#idx_id_73">P</a> <a class="link" href="s03.html#idx_id_75">R</a> <a class="link" href="s03.html#idx_id_76">S</a> <a class="link" href="s03.html#idx_id_77">T</a> <a class="link" href="s03.html#idx_id_78">U</a> <a class="link" href="s03.html#idx_id_79">V</a> <a class="link" href="s03.html#idx_id_80">W</a></p>
|
||||
<div class="variablelist"><dl class="variablelist">
|
||||
<dt>
|
||||
|
||||
@ -24,7 +24,7 @@
|
||||
</div>
|
||||
<div class="section">
|
||||
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
||||
<a name="id1744844"></a>Macro Index</h2></div></div></div>
|
||||
<a name="id1752241"></a>Macro Index</h2></div></div></div>
|
||||
<p><a class="link" href="s04.html#idx_id_87">B</a> <a class="link" href="s04.html#idx_id_91">F</a></p>
|
||||
<div class="variablelist"><dl class="variablelist">
|
||||
<dt>
|
||||
|
||||
@ -23,7 +23,7 @@
|
||||
</div>
|
||||
<div class="section">
|
||||
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
||||
<a name="id1746250"></a>Index</h2></div></div></div>
|
||||
<a name="id1751411"></a>Index</h2></div></div></div>
|
||||
<p><a class="link" href="s05.html#idx_id_112">2</a> <a class="link" href="s05.html#idx_id_113">4</a> <a class="link" href="s05.html#idx_id_114">A</a> <a class="link" href="s05.html#idx_id_115">B</a> <a class="link" href="s05.html#idx_id_116">C</a> <a class="link" href="s05.html#idx_id_117">D</a> <a class="link" href="s05.html#idx_id_118">E</a> <a class="link" href="s05.html#idx_id_119">F</a> <a class="link" href="s05.html#idx_id_120">G</a> <a class="link" href="s05.html#idx_id_121">H</a> <a class="link" href="s05.html#idx_id_122">I</a> <a class="link" href="s05.html#idx_id_123">J</a> <a class="link" href="s05.html#idx_id_124">K</a> <a class="link" href="s05.html#idx_id_125">L</a> <a class="link" href="s05.html#idx_id_126">M</a> <a class="link" href="s05.html#idx_id_127">N</a> <a class="link" href="s05.html#idx_id_128">O</a> <a class="link" href="s05.html#idx_id_129">P</a> <a class="link" href="s05.html#idx_id_130">Q</a> <a class="link" href="s05.html#idx_id_131">R</a> <a class="link" href="s05.html#idx_id_132">S</a> <a class="link" href="s05.html#idx_id_133">T</a> <a class="link" href="s05.html#idx_id_134">U</a> <a class="link" href="s05.html#idx_id_135">V</a> <a class="link" href="s05.html#idx_id_136">W</a> <a class="link" href="s05.html#idx_id_137">X</a> <a class="link" href="s05.html#idx_id_138">Y</a> <a class="link" href="s05.html#idx_id_139">Z</a></p>
|
||||
<div class="variablelist"><dl class="variablelist">
|
||||
<dt>
|
||||
@ -1583,10 +1583,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comp_compilers.html" title="Comparing Different Compilers"><span class="index-entry-level-1">performance</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">Comparing the means of two samples with the Students-t test</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test"><span class="index-entry-level-1">less</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">Comparison of Cube Root Finding Algorithms</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_comparison/cbrt_comparison.html" title="Comparison of Cube Root Finding Algorithms"><span class="index-entry-level-1">double</span></a></p></li>
|
||||
@ -1625,13 +1621,6 @@
|
||||
</ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">Compile-time GCD and LCM determination</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compile_time.html" title="Compile-time GCD and LCM determination"><span class="index-entry-level-1">constants</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compile_time.html" title="Compile-time GCD and LCM determination"><span class="index-entry-level-1">expression</span></a></p></li>
|
||||
</ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">Compilers</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compilers_overview.html" title="Compilers"><span class="index-entry-level-1">accuracy</span></a></p></li>
|
||||
@ -1814,7 +1803,6 @@
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html" title="Binomial Quiz Example"><span class="index-entry-level-1">Binomial Quiz Example</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_tuning" title="Table 1.12. Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compile_time.html" title="Compile-time GCD and LCM determination"><span class="index-entry-level-1">Compile-time GCD and LCM determination</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/complements.html" title="Complements are supported too - and when to use them"><span class="index-entry-level-1">Complements are supported too - and when to use them</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
|
||||
@ -3212,7 +3200,6 @@
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution"><span class="index-entry-level-1">Calculating confidence intervals on the mean with the Students-t distribution</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/ct_pow.html" title="Compile Time Power of a Runtime Base"><span class="index-entry-level-1">Compile Time Power of a Runtime Base</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compile_time.html" title="Compile-time GCD and LCM determination"><span class="index-entry-level-1">Compile-time GCD and LCM determination</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/complements.html" title="Complements are supported too - and when to use them"><span class="index-entry-level-1">Complements are supported too - and when to use them</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">Computing the Fifth Root</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_concept.html" title="Conceptual Requirements for Distribution Types"><span class="index-entry-level-1">Conceptual Requirements for Distribution Types</span></a></p></li>
|
||||
@ -3790,14 +3777,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses"><span class="index-entry-level-1">Incomplete Gamma Function Inverses</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">gcd</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">Synopsis</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">GCD Function Object</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gcd_function_object.html" title="GCD Function Object"><span class="index-entry-level-1">operator</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">Generalizing to Compute the nth root</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">accuracy</span></a></p></li>
|
||||
@ -4370,7 +4349,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">data</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">expression</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">less</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">performance</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">scale</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">variance</span></a></p></li>
|
||||
@ -4729,14 +4707,6 @@
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-0">laplace_distribution</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">lcm</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">Synopsis</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">LCM Function Object</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lcm_function_object.html" title="LCM Function Object"><span class="index-entry-level-1">operator</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">ldexp</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li></ul></div>
|
||||
</li>
|
||||
@ -4791,13 +4761,6 @@
|
||||
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">Legendre (and Associated) Polynomials</span></a></p></li></ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">less</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test"><span class="index-entry-level-1">Comparing the means of two samples with the Students-t test</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
|
||||
</ul></div>
|
||||
</li>
|
||||
<li class="listitem" style="list-style-type: none">
|
||||
<p><span class="index-entry-level-0">lgamma</span></p>
|
||||
<div class="index"><ul class="index" style="list-style-type: none; ">
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
|
||||
@ -5566,10 +5529,8 @@
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">Computing the Fifth Root</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/cf.html" title="Continued Fraction Evaluation"><span class="index-entry-level-1">Continued Fraction Evaluation</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">Finding the Cubed Root With and Without Derivatives</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gcd_function_object.html" title="GCD Function Object"><span class="index-entry-level-1">GCD Function Object</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lcm_function_object.html" title="LCM Function Object"><span class="index-entry-level-1">LCM Function Object</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/series_evaluation.html" title="Series Evaluation"><span class="index-entry-level-1">Series Evaluation</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots/roots_noderiv/root_termination.html" title="Termination Condition Functors"><span class="index-entry-level-1">Termination Condition Functors</span></a></p></li>
|
||||
@ -6691,9 +6652,7 @@
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">conj</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">cylindrical</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">cylindrospherical</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">gcd</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">l1</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/synopsis.html" title="Synopsis"><span class="index-entry-level-1">lcm</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">multipolar</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">norm</span></a></p></li>
|
||||
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">semipolar</span></a></p></li>
|
||||
|
||||
@ -27,7 +27,7 @@
|
||||
<a name="math_toolkit.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
|
||||
</h2></div></div></div>
|
||||
<p>
|
||||
<a class="indexterm" name="id887837"></a>
|
||||
<a class="indexterm" name="id897378"></a>
|
||||
</p>
|
||||
<p>
|
||||
This documentation aims to use of the following naming and formatting conventions.
|
||||
|
||||
@ -27,7 +27,7 @@
|
||||
<a name="math_toolkit.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
|
||||
</h2></div></div></div>
|
||||
<p>
|
||||
<a class="indexterm" name="id887686"></a>
|
||||
<a class="indexterm" name="id897204"></a>
|
||||
</p>
|
||||
<p>
|
||||
Boost.Math documentation is provided in both HTML and PDF formats.
|
||||
|
||||
@ -179,6 +179,16 @@
|
||||
(here floating point, complex, etc) and over a unique factorization domain
|
||||
(integers). Division of polynomials over a field is compatible with <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm" target="_top">Euclidean GCD</a>.
|
||||
</p>
|
||||
<p>
|
||||
Division of polynomials over a UFD is compatible with the subresultant algorithm
|
||||
for GCD (implemented as subresultant_gcd), but a serious word of warning
|
||||
is required: the intermediate value swell of that algorithm will cause single-precision
|
||||
integral types to overflow very easily. So although the algorithm will work
|
||||
on single-precision integral types, an overload of the gcd function is only
|
||||
provided for polynomials with multi-precision integral types, to prevent
|
||||
nasty surprises. This is done somewhat crudely by disabling the overload
|
||||
for non-POD integral types.
|
||||
</p>
|
||||
<p>
|
||||
Advanced manipulations: the FFT, factorisation etc are not currently provided.
|
||||
Submissions for these are of course welcome :-)
|
||||
|
||||
@ -6,7 +6,7 @@
|
||||
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
|
||||
<link rel="home" href="index.html" title="Math Toolkit 2.5.2">
|
||||
<link rel="up" href="index.html" title="Math Toolkit 2.5.2">
|
||||
<link rel="prev" href="math_toolkit/gcd_credits.html" title="Credits">
|
||||
<link rel="prev" href="gcd_lcm.html" title="Chapter 11. Integer Utilities (Greatest Common Divisor and Least Common Multiple)">
|
||||
<link rel="next" href="math_toolkit/roots.html" title="Root finding">
|
||||
</head>
|
||||
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
|
||||
@ -20,7 +20,7 @@
|
||||
</tr></table>
|
||||
<hr>
|
||||
<div class="spirit-nav">
|
||||
<a accesskey="p" href="math_toolkit/gcd_credits.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/roots.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
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||||
<a accesskey="p" href="gcd_lcm.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/roots.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
|
||||
</div>
|
||||
<div class="chapter">
|
||||
<div class="titlepage"><div><div><h1 class="title">
|
||||
@ -99,7 +99,7 @@
|
||||
</tr></table>
|
||||
<hr>
|
||||
<div class="spirit-nav">
|
||||
<a accesskey="p" href="math_toolkit/gcd_credits.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/roots.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
|
||||
<a accesskey="p" href="gcd_lcm.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/roots.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
@ -293,17 +293,6 @@ math_toolkit/acknowledgements.html
|
||||
math_toolkit/oct_history.html
|
||||
math_toolkit/oct_todo.html
|
||||
gcd_lcm.html
|
||||
math_toolkit/introduction.html
|
||||
math_toolkit/synopsis.html
|
||||
math_toolkit/gcd_function_object.html
|
||||
math_toolkit/lcm_function_object.html
|
||||
math_toolkit/run_time.html
|
||||
math_toolkit/compile_time.html
|
||||
math_toolkit/gcd_header.html
|
||||
math_toolkit/demo.html
|
||||
math_toolkit/rationale0.html
|
||||
math_toolkit/gcd_history.html
|
||||
math_toolkit/gcd_credits.html
|
||||
rooting.html
|
||||
math_toolkit/roots.html
|
||||
math_toolkit/roots/roots_noderiv.html
|
||||
|
||||
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