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GNU Octave
4.4.1
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
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GNU Octave
4.4.1
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
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#include <cmath>#include <algorithm>#include "lo-ieee.h"#include "oct-locbuf.h"#include "defun.h"#include "error.h"#include "ovl.h"#include "parse.h"#include "utils.h"#include "variables.h"
Go to the source code of this file.
Classes | |
| struct | cquad_ival |
Macros | |
| #define | DEBUG_QUADCC 0 |
Functions | |
| static void | downdate (double *c, int n, int d, int *nans, int nnans) |
| OCTAVE_EXPORT octave_value_list | Fquadcc (const octave_value_list &args, int) ar |
| nd example oindent which uses the element by element dot form for all operators and the second element is the desired relative tolerance To choose a relative test set the absolute tolerance to zero To choose an absolute test set the relative tolerance to zero The default absolute tolerance | is (1e-5 for single) |
| nd example oindent which uses the element by element dot form for all operators and the second element is the desired relative tolerance To choose a relative test set the absolute tolerance to zero To choose an absolute test set the relative tolerance to zero The default absolute tolerance and the default relative tolerance | is (1e-4 for single). The optional argument ar |
| static void | Vinvfx (const double *fx, double *c, const int d) |
Variables | |
| contains a list of points where the integrand has known or discontinuities in any of its inside the integration interval For the example | above |
| ar {nr_points}] =} quadcc (ots{}) Numerically evaluate the integral of ar{f} from ar{a} to ar{b} using doubly-adaptive ospell{Clenshaw-Curtis} quadrature. ar{f} is a function handle, inline function, or string containing the name of the function to evaluate. The function ar{f} must be vectorized and must return a vector of output values if given a vector of input values. For example, xample f = @(x) x .* sin (1./x) .* sqrt (abs (1 - x)) | |
| static const double | bee [68] |
| contains a list of points where the integrand has known or discontinuities in any of its | derivatives |
| static const double | DROP_RELTOL = std::numeric_limits<double>::epsilon () * 10 |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as | Issue |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as | ite {Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants} |
| static const double | Lalpha [33] |
| static const double | Lgamma [33] |
| static const int | MIN_CQUAD_HEAPSIZE = 200 |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as Article | No |
| contains a list of points where the integrand has known or discontinuities in any of its inside the integration interval For the example which has a discontinuity at the call to | ode {quadcc} would be as follows xample int = quadcc (f, a, b, [], [ 1 ]) |
| nd example oindent which uses the element by element dot form for all operators and the second element is the desired relative tolerance To choose a relative test | only |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as | ospell {ACM} Transactions on Mathematical Software |
| contains a list of points where the integrand has known | singularities |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as | such |
| static const double | Tleft [33 *33] |
| static const double | Tright [33 *33] |
| static const double | V1inv [5 *5] |
| static const double | V2inv [9 *9] |
| static const double | V3inv [17 *17] |
| static const double | V4inv [33 *33] |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as | Vol |
| contains a list of points where the integrand has known or discontinuities in any of its inside the integration interval For the example which has a discontinuity at | x =1 |
| static const double | xi [33] |
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static |
| OCTAVE_EXPORT octave_value_list Fquadcc | ( | const octave_value_list & | args, |
| int | |||
| ) |
| nd example oindent which uses the element by element dot form for all operators and the second element is the desired relative tolerance To choose a relative test set the absolute tolerance to zero To choose an absolute test set the relative tolerance to zero The default absolute tolerance is | ( | 1e-5 for | single | ) |
| nd example oindent which uses the element by element dot form for all operators and the second element is the desired relative tolerance To choose a relative test set the absolute tolerance to zero To choose an absolute test set the relative tolerance to zero The default absolute tolerance and the default relative tolerance is | ( | 1e-4 for | single | ) |
| contains a list of points where the integrand has known or discontinuities in any of its inside the integration interval For the example above |
Definition at line 1567 of file quadcc.cc.
Referenced by TerminalView::extendSelection().
| nd example The result of the integration is returned in the value of ar {nr_points}] =} quadcc (ots{}) Numerically evaluate the integral of ar{f} from ar{a} to ar{b} using doubly-adaptive ospell{Clenshaw-Curtis} quadrature. ar{f} is a function handle, inline function, or string containing the name of the function to evaluate. The function ar{f} must be vectorized and must return a vector of output values if given a vector of input values. For example, xample f = @(x) x .* sin (1./x) .* sqrt (abs (1 - x)) |
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static |
Definition at line 79 of file quadcc.cc.
Referenced by downdate().
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as ite {Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants} |
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static |
Definition at line 106 of file quadcc.cc.
Referenced by downdate().
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static |
Definition at line 121 of file quadcc.cc.
Referenced by downdate().
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as Article No |
Definition at line 1567 of file quadcc.cc.
Referenced by octave::file_editor_tab::check_valid_codec(), octave::file_editor_tab::check_valid_identifier(), octave::files_dock_widget::contextmenu_delete(), octave::external_editor_interface::external_editor(), octave::file_editor_tab::file_has_changed(), and octave::shortcut_manager::shortcut_dialog_finished().
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as ode {quadcc} would be as follows xample int = quadcc (f, a, b, [], [ 1 ]) |
| nd example The result of the integration is returned in the value of it is recommended to verify this value for difficult integrands and then a warning is issued and as may be less efficient for a smooth or otherwise well behaved integrand than other methods such as ospell {ACM} Transactions on Mathematical Software |
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static |
Definition at line 136 of file quadcc.cc.
Referenced by Vinvfx().
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static |
Definition at line 62 of file quadcc.cc.
Referenced by downdate(), and F__dsearchn__().
1.8.14