circle_segment_test
circle_segment_test,
a MATLAB code which
calls circle_segment(), which
carries out computations associated with a circle segment, including
height, width, angle, area, centroid, sampling, and quadrature.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the MIT license
Related Data and Programs:
circle_segment,
a MATLAB code which
carries out computations associated with a circle segment, including
height, angle, area, centroid, sampling, and quadrature.
Source Code:
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circle_segment_test01.m,
tests circle_segment_area_from_height().
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circle_segment_test02.m,
tabulates a few quadrature rules with gqcircsegm().
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circle_segment_test03.m,
plots a few quadrature rules computed by gqcircsegm().
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circle_segment_test04.m,
approximates integrals with gqcircsegm().
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circle_segment_test05.m,
tests circle_segment_area_from_height() and
circle_segment_height_from_area().
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circle_segment_test06.m,
tests circle_segment_sample_from_height().
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circle_segment_test07.m,
tests circle_segment_angle_from_height() and circle_segment_height_from_angle().
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circle_segment_test08.m,
tests circle_segment_contains_point().
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circle_segment_test09.m,
looks at the area and centroid calculations.
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circle_segment_test10.m,
checks circle_segment_test04 by calling MATLAB's QUAD2D().
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circle_segment_test11.m,
demonstrates circle_segment_rotation_from_chord();
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circle_segment_test12.m,
plots some rotated rules from circle_segment_rule_from_chord().
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circle_segment_test13.m,
demonstrates the use of gauss() to compute some quadrature rules.
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circle_segment_test14.m,
demonstrates the use of r_jacobi() to compute recursion coefficients
for a quadrature rule associated with a Jacobi weight function.
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circle_segment_test15.m,
demonstrates weights_t3() (and this test is NOT WORKING).
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circle_segment_test16.m,
demonstrates gqcircsect().
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circle_segment_test17.m,
demonstrates gqcircsegm().
Test 3 plots quadrature points for circle segments of various angles THETA:
Test 6 samples points from circle segments of various angles THETA:
Test 12 plots the quadrature points for several rules, defined on
circle segments that are specified by R (circle radius), C (circle center),
and P1, P2 (the points that define the chord.)
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test12_rule1.png,
points for rule of radius 2, center (1,0), p1 at pi/4, p2 at 5pi/4.
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test12_rule2.png,
points for rule of radius 1.5, center (-1,2), p1 at 5pi/6, p2 at 10pi/6.
Test 16 plots points for circle sectors.
Test 17 plots points for a circle segment.
Last revised on 13 December 2018.