Is the test of "Area of Two Circles' Intersection" correct?

Revision en2, by yamaton, 2015-12-02 23:28:55

600D - Area of Two Circles' Intersection requires careful treatment of loss of significance, more than the geometry problem itself.

Let's review the geometry, first. We need three numbers (r1, r2, d); where d is the distance between two centers.

Intersection is determined from two circular sectors subtracted by two triangles.

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giving,

Angle θ1 and θ2 are determined from cosine formula

Tags errors, geometry, test, python

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en28 English yamaton 2015-12-05 17:51:41 30
en27 English yamaton 2015-12-05 17:44:25 2 Tiny change: '. (**EDIT2:** I was wro' -
en26 English yamaton 2015-12-05 17:42:43 93
en25 English yamaton 2015-12-05 17:39:25 11
en24 English yamaton 2015-12-05 17:37:30 20 Tiny change: 'icient in computing `acos`.\n\n2. `a' -> 'icient in significance.\n\n2. `a'
en23 English yamaton 2015-12-05 17:36:34 24 Tiny change: 'lly got AC: [submiss' -> 'lly got AC with `double` precision: [submiss'
en22 English yamaton 2015-12-05 17:35:44 1176 Tiny change: '21].\n\n** Lesson Learned: **\n\n- Ju' -
en21 English yamaton 2015-12-03 03:18:13 12 Tiny change: 'imgur.com/ObIOka0.png)\n\nO' -> 'imgur.com/NrqhykS.png)\n\nO'
en20 English yamaton 2015-12-03 03:00:55 391 Edited and modified
en19 English yamaton 2015-12-03 01:06:00 10 Fixed typos
en18 English yamaton 2015-12-03 00:52:35 0 (published)
en17 English yamaton 2015-12-03 00:49:27 24 Tiny change: 'n test 36.\n![ ](htt' -> 'n test 36. Here is a screenshot.\n\n![ ](htt'
en16 English yamaton 2015-12-03 00:47:48 1594
en15 English yamaton 2015-12-03 00:31:43 302
en14 English yamaton 2015-12-03 00:24:19 826
en13 English yamaton 2015-12-03 00:10:46 51
en12 English yamaton 2015-12-03 00:10:08 220
en11 English yamaton 2015-12-03 00:05:29 28
en10 English yamaton 2015-12-03 00:03:52 99
en9 English yamaton 2015-12-03 00:01:11 131
en8 English yamaton 2015-12-02 23:56:18 538
en7 English yamaton 2015-12-02 23:40:10 8 Tiny change: ' geometry problem itself.\n' -> ' geometry itself.\n'
en6 English yamaton 2015-12-02 23:39:47 150
en5 English yamaton 2015-12-02 23:33:39 27
en4 English yamaton 2015-12-02 23:32:04 283
en3 English yamaton 2015-12-02 23:29:53 15
en2 English yamaton 2015-12-02 23:28:55 476
en1 English yamaton 2015-12-02 23:24:53 858 Initial revision (saved to drafts)