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author | Ansariel <ansariel.hiller@phoenixviewer.com> | 2024-05-22 19:04:52 +0200 |
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committer | Ansariel <ansariel.hiller@phoenixviewer.com> | 2024-05-22 19:04:52 +0200 |
commit | 1b67dd855c41f5a0cda7ec2a68d98071986ca703 (patch) | |
tree | ab243607f74f78200787bba5b9b88f07ef1b966f /indra/llmath/tests/mathmisc_test.cpp | |
parent | 6d6eabca44d08d5b97bfe3e941d2b9687c2246ea (diff) | |
parent | e1623bb276f83a43ce7a197e388720c05bdefe61 (diff) |
Merge remote-tracking branch 'origin/main' into DRTVWR-600-maint-A
# Conflicts:
# autobuild.xml
# indra/cmake/CMakeLists.txt
# indra/cmake/GoogleMock.cmake
# indra/llaudio/llaudioengine_fmodstudio.cpp
# indra/llaudio/llaudioengine_fmodstudio.h
# indra/llaudio/lllistener_fmodstudio.cpp
# indra/llaudio/lllistener_fmodstudio.h
# indra/llaudio/llstreamingaudio_fmodstudio.cpp
# indra/llaudio/llstreamingaudio_fmodstudio.h
# indra/llcharacter/llmultigesture.cpp
# indra/llcharacter/llmultigesture.h
# indra/llimage/llimage.cpp
# indra/llimage/llimagepng.cpp
# indra/llimage/llimageworker.cpp
# indra/llimage/tests/llimageworker_test.cpp
# indra/llmessage/tests/llmockhttpclient.h
# indra/llprimitive/llgltfmaterial.h
# indra/llrender/llfontfreetype.cpp
# indra/llui/llcombobox.cpp
# indra/llui/llfolderview.cpp
# indra/llui/llfolderviewmodel.h
# indra/llui/lllineeditor.cpp
# indra/llui/lllineeditor.h
# indra/llui/lltextbase.cpp
# indra/llui/lltextbase.h
# indra/llui/lltexteditor.cpp
# indra/llui/lltextvalidate.cpp
# indra/llui/lltextvalidate.h
# indra/llui/lluictrl.h
# indra/llui/llview.cpp
# indra/llwindow/llwindowmacosx.cpp
# indra/newview/app_settings/settings.xml
# indra/newview/llappearancemgr.cpp
# indra/newview/llappearancemgr.h
# indra/newview/llavatarpropertiesprocessor.cpp
# indra/newview/llavatarpropertiesprocessor.h
# indra/newview/llbreadcrumbview.cpp
# indra/newview/llbreadcrumbview.h
# indra/newview/llbreastmotion.cpp
# indra/newview/llbreastmotion.h
# indra/newview/llconversationmodel.h
# indra/newview/lldensityctrl.cpp
# indra/newview/lldensityctrl.h
# indra/newview/llface.inl
# indra/newview/llfloatereditsky.cpp
# indra/newview/llfloatereditwater.cpp
# indra/newview/llfloateremojipicker.h
# indra/newview/llfloaterimsessiontab.cpp
# indra/newview/llfloaterprofiletexture.cpp
# indra/newview/llfloaterprofiletexture.h
# indra/newview/llgesturemgr.cpp
# indra/newview/llgesturemgr.h
# indra/newview/llimpanel.cpp
# indra/newview/llimpanel.h
# indra/newview/llinventorybridge.cpp
# indra/newview/llinventorybridge.h
# indra/newview/llinventoryclipboard.cpp
# indra/newview/llinventoryclipboard.h
# indra/newview/llinventoryfunctions.cpp
# indra/newview/llinventoryfunctions.h
# indra/newview/llinventorygallery.cpp
# indra/newview/lllistbrowser.cpp
# indra/newview/lllistbrowser.h
# indra/newview/llpanelobjectinventory.cpp
# indra/newview/llpanelprofile.cpp
# indra/newview/llpanelprofile.h
# indra/newview/llpreviewgesture.cpp
# indra/newview/llsavedsettingsglue.cpp
# indra/newview/llsavedsettingsglue.h
# indra/newview/lltooldraganddrop.cpp
# indra/newview/llurllineeditorctrl.cpp
# indra/newview/llvectorperfoptions.cpp
# indra/newview/llvectorperfoptions.h
# indra/newview/llviewerparceloverlay.cpp
# indra/newview/llviewertexlayer.cpp
# indra/newview/llviewertexturelist.cpp
# indra/newview/macmain.h
# indra/test/test.cpp
Diffstat (limited to 'indra/llmath/tests/mathmisc_test.cpp')
-rw-r--r-- | indra/llmath/tests/mathmisc_test.cpp | 1446 |
1 files changed, 723 insertions, 723 deletions
diff --git a/indra/llmath/tests/mathmisc_test.cpp b/indra/llmath/tests/mathmisc_test.cpp index 46bdc1cf95..63d35bee96 100644 --- a/indra/llmath/tests/mathmisc_test.cpp +++ b/indra/llmath/tests/mathmisc_test.cpp @@ -1,723 +1,723 @@ -/** - * @file math.cpp - * @author Phoenix - * @date 2005-09-26 - * @brief Tests for the llmath library. - * - * $LicenseInfo:firstyear=2005&license=viewerlgpl$ - * Second Life Viewer Source Code - * Copyright (C) 2010, Linden Research, Inc. - * - * This library is free software; you can redistribute it and/or - * modify it under the terms of the GNU Lesser General Public - * License as published by the Free Software Foundation; - * version 2.1 of the License only. - * - * This library is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - * Lesser General Public License for more details. - * - * You should have received a copy of the GNU Lesser General Public - * License along with this library; if not, write to the Free Software - * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA - * - * Linden Research, Inc., 945 Battery Street, San Francisco, CA 94111 USA - * $/LicenseInfo$ - */ - -#include "linden_common.h" -#include "../test/lltut.h" - -#include "llcrc.h" -#include "llrand.h" -#include "lluuid.h" - -#include "../llline.h" -#include "../llmath.h" -#include "../llsphere.h" -#include "../v3math.h" - -namespace tut -{ - struct math_data - { - }; - typedef test_group<math_data> math_test; - typedef math_test::object math_object; - tut::math_test tm("BasicLindenMath"); - - template<> template<> - void math_object::test<1>() - { - S32 val = 89543; - val = llabs(val); - ensure("integer absolute value 1", (89543 == val)); - val = -500; - val = llabs(val); - ensure("integer absolute value 2", (500 == val)); - } - - template<> template<> - void math_object::test<2>() - { - F32 val = -2583.4f; - val = llabs(val); - ensure("float absolute value 1", (2583.4f == val)); - val = 430903.f; - val = llabs(val); - ensure("float absolute value 2", (430903.f == val)); - } - - template<> template<> - void math_object::test<3>() - { - F64 val = 387439393.987329839; - val = llabs(val); - ensure("double absolute value 1", (387439393.987329839 == val)); - val = -8937843.9394878; - val = llabs(val); - ensure("double absolute value 2", (8937843.9394878 == val)); - } - - template<> template<> - void math_object::test<4>() - { - F32 val = 430903.9f; - S32 val1 = lltrunc(val); - ensure("float truncate value 1", (430903 == val1)); - val = -2303.9f; - val1 = lltrunc(val); - ensure("float truncate value 2", (-2303 == val1)); - } - - template<> template<> - void math_object::test<5>() - { - F64 val = 387439393.987329839 ; - S32 val1 = lltrunc(val); - ensure("float truncate value 1", (387439393 == val1)); - val = -387439393.987329839; - val1 = lltrunc(val); - ensure("float truncate value 2", (-387439393 == val1)); - } - - template<> template<> - void math_object::test<6>() - { - F32 val = 430903.2f; - S32 val1 = llfloor(val); - ensure("float llfloor value 1", (430903 == val1)); - val = -430903.9f; - val1 = llfloor(val); - ensure("float llfloor value 2", (-430904 == val1)); - } - - template<> template<> - void math_object::test<7>() - { - F32 val = 430903.2f; - S32 val1 = llceil(val); - ensure("float llceil value 1", (430904 == val1)); - val = -430903.9f; - val1 = llceil(val); - ensure("float llceil value 2", (-430903 == val1)); - } - - template<> template<> - void math_object::test<8>() - { - F32 val = 430903.2f; - S32 val1 = ll_round(val); - ensure("float ll_round value 1", (430903 == val1)); - val = -430903.9f; - val1 = ll_round(val); - ensure("float ll_round value 2", (-430904 == val1)); - } - - template<> template<> - void math_object::test<9>() - { - F32 val = 430905.2654f, nearest = 100.f; - val = ll_round(val, nearest); - ensure("float ll_round value 1", (430900 == val)); - val = -430905.2654f, nearest = 10.f; - val = ll_round(val, nearest); - ensure("float ll_round value 1", (-430910 == val)); - } - - template<> template<> - void math_object::test<10>() - { - F64 val = 430905.2654, nearest = 100.0; - val = ll_round(val, nearest); - ensure("double ll_round value 1", (430900 == val)); - val = -430905.2654, nearest = 10.0; - val = ll_round(val, nearest); - ensure("double ll_round value 1", (-430910.00000 == val)); - } - - template<> template<> - void math_object::test<11>() - { - const F32 F_PI = 3.1415926535897932384626433832795f; - F32 angle = 3506.f; - angle = llsimple_angle(angle); - ensure("llsimple_angle value 1", (angle <=F_PI && angle >= -F_PI)); - angle = -431.f; - angle = llsimple_angle(angle); - ensure("llsimple_angle value 1", (angle <=F_PI && angle >= -F_PI)); - } -} - -namespace tut -{ - struct uuid_data - { - LLUUID id; - }; - typedef test_group<uuid_data> uuid_test; - typedef uuid_test::object uuid_object; - tut::uuid_test tu("LLUUID"); - - template<> template<> - void uuid_object::test<1>() - { - ensure("uuid null", id.isNull()); - id.generate(); - ensure("generate not null", id.notNull()); - id.setNull(); - ensure("set null", id.isNull()); - } - - template<> template<> - void uuid_object::test<2>() - { - id.generate(); - LLUUID a(id); - ensure_equals("copy equal", id, a); - a.generate(); - ensure_not_equals("generate not equal", id, a); - a = id; - ensure_equals("assignment equal", id, a); - } - - template<> template<> - void uuid_object::test<3>() - { - id.generate(); - LLUUID copy(id); - LLUUID mask; - mask.generate(); - copy ^= mask; - ensure_not_equals("mask not equal", id, copy); - copy ^= mask; - ensure_equals("mask back", id, copy); - } - - template<> template<> - void uuid_object::test<4>() - { - id.generate(); - std::string id_str = id.asString(); - LLUUID copy(id_str.c_str()); - ensure_equals("string serialization", id, copy); - } - -} - -namespace tut -{ - struct crc_data - { - }; - typedef test_group<crc_data> crc_test; - typedef crc_test::object crc_object; - tut::crc_test tc("LLCrc"); - - template<> template<> - void crc_object::test<1>() - { - /* Test buffer update and individual char update */ - const char TEST_BUFFER[] = "hello &#$)$&Nd0"; - LLCRC c1, c2; - c1.update((U8*)TEST_BUFFER, sizeof(TEST_BUFFER) - 1); - char* rh = (char*)TEST_BUFFER; - while(*rh != '\0') - { - c2.update(*rh); - ++rh; - } - ensure_equals("crc update 1", c1.getCRC(), c2.getCRC()); - } - - template<> template<> - void crc_object::test<2>() - { - /* Test mixing of buffer and individual char update */ - const char TEST_BUFFER1[] = "Split Buffer one $^%$%#@$"; - const char TEST_BUFFER2[] = "Split Buffer two )(8723#5dsds"; - LLCRC c1, c2; - c1.update((U8*)TEST_BUFFER1, sizeof(TEST_BUFFER1) - 1); - char* rh = (char*)TEST_BUFFER2; - while(*rh != '\0') - { - c1.update(*rh); - ++rh; - } - - rh = (char*)TEST_BUFFER1; - while(*rh != '\0') - { - c2.update(*rh); - ++rh; - } - c2.update((U8*)TEST_BUFFER2, sizeof(TEST_BUFFER2) - 1); - - ensure_equals("crc update 2", c1.getCRC(), c2.getCRC()); - } -} - -namespace tut -{ - struct sphere_data - { - }; - typedef test_group<sphere_data> sphere_test; - typedef sphere_test::object sphere_object; - tut::sphere_test tsphere("LLSphere"); - - template<> template<> - void sphere_object::test<1>() - { - // test LLSphere::contains() and ::overlaps() - S32 number_of_tests = 10; - for (S32 test = 0; test < number_of_tests; ++test) - { - LLVector3 first_center(1.f, 1.f, 1.f); - F32 first_radius = 3.f; - LLSphere first_sphere( first_center, first_radius ); - - F32 half_millimeter = 0.0005f; - LLVector3 direction( ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f); - direction.normalize(); - - F32 distance = ll_frand(first_radius - 2.f * half_millimeter); - LLVector3 second_center = first_center + distance * direction; - F32 second_radius = first_radius - distance - half_millimeter; - LLSphere second_sphere( second_center, second_radius ); - ensure("first sphere should contain the second", first_sphere.contains(second_sphere)); - ensure("first sphere should overlap the second", first_sphere.overlaps(second_sphere)); - - distance = first_radius + ll_frand(first_radius); - second_center = first_center + distance * direction; - second_radius = distance - first_radius + half_millimeter; - second_sphere.set( second_center, second_radius ); - ensure("first sphere should NOT contain the second", !first_sphere.contains(second_sphere)); - ensure("first sphere should overlap the second", first_sphere.overlaps(second_sphere)); - - distance = first_radius + ll_frand(first_radius) + half_millimeter; - second_center = first_center + distance * direction; - second_radius = distance - first_radius - half_millimeter; - second_sphere.set( second_center, second_radius ); - ensure("first sphere should NOT contain the second", !first_sphere.contains(second_sphere)); - ensure("first sphere should NOT overlap the second", !first_sphere.overlaps(second_sphere)); - } - } - - template<> template<> - void sphere_object::test<2>() - { - skip("See SNOW-620. Neither the test nor the code being tested seem good. Also sim-only."); - - // test LLSphere::getBoundingSphere() - S32 number_of_tests = 100; - S32 number_of_spheres = 10; - F32 sphere_center_range = 32.f; - F32 sphere_radius_range = 5.f; - - for (S32 test = 0; test < number_of_tests; ++test) - { - // gegnerate a bunch of random sphere - std::vector< LLSphere > sphere_list; - for (S32 sphere_count=0; sphere_count < number_of_spheres; ++sphere_count) - { - LLVector3 direction( ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f); - direction.normalize(); - F32 distance = ll_frand(sphere_center_range); - LLVector3 center = distance * direction; - F32 radius = ll_frand(sphere_radius_range); - LLSphere sphere( center, radius ); - sphere_list.push_back(sphere); - } - - // compute the bounding sphere - LLSphere bounding_sphere = LLSphere::getBoundingSphere(sphere_list); - - // make sure all spheres are inside the bounding sphere - { - std::vector< LLSphere >::const_iterator sphere_itr; - for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr) - { - ensure("sphere should be contained by the bounding sphere", bounding_sphere.contains(*sphere_itr)); - } - } - - // TODO -- improve LLSphere::getBoundingSphere() to the point where - // we can reduce the 'expansion' in the two tests below to about - // 2 mm or less - - F32 expansion = 0.005f; - // move all spheres out a little bit - // and count how many are NOT contained - { - std::vector< LLVector3 > uncontained_directions; - std::vector< LLSphere >::iterator sphere_itr; - for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr) - { - LLVector3 direction = sphere_itr->getCenter() - bounding_sphere.getCenter(); - direction.normalize(); - - sphere_itr->setCenter( sphere_itr->getCenter() + expansion * direction ); - if (! bounding_sphere.contains( *sphere_itr ) ) - { - uncontained_directions.push_back(direction); - } - } - ensure("when moving spheres out there should be at least two uncontained spheres", - uncontained_directions.size() > 1); - - /* TODO -- when the bounding sphere algorithm is improved we can open up this test - * at the moment it occasionally fails when the sphere collection is tight and small - * (2 meters or less) - if (2 == uncontained_directions.size() ) - { - // if there were only two uncontained spheres then - // the two directions should be nearly opposite - F32 dir_dot = uncontained_directions[0] * uncontained_directions[1]; - ensure("two uncontained spheres should lie opposite the bounding center", dir_dot < -0.95f); - } - */ - } - - // compute the new bounding sphere - bounding_sphere = LLSphere::getBoundingSphere(sphere_list); - - // increase the size of all spheres a little bit - // and count how many are NOT contained - { - std::vector< LLVector3 > uncontained_directions; - std::vector< LLSphere >::iterator sphere_itr; - for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr) - { - LLVector3 direction = sphere_itr->getCenter() - bounding_sphere.getCenter(); - direction.normalize(); - - sphere_itr->setRadius( sphere_itr->getRadius() + expansion ); - if (! bounding_sphere.contains( *sphere_itr ) ) - { - uncontained_directions.push_back(direction); - } - } - ensure("when boosting sphere radii there should be at least two uncontained spheres", - uncontained_directions.size() > 1); - - /* TODO -- when the bounding sphere algorithm is improved we can open up this test - * at the moment it occasionally fails when the sphere collection is tight and small - * (2 meters or less) - if (2 == uncontained_directions.size() ) - { - // if there were only two uncontained spheres then - // the two directions should be nearly opposite - F32 dir_dot = uncontained_directions[0] * uncontained_directions[1]; - ensure("two uncontained spheres should lie opposite the bounding center", dir_dot < -0.95f); - } - */ - } - } - } -} - -namespace tut -{ - F32 SMALL_RADIUS = 1.0f; - F32 MEDIUM_RADIUS = 5.0f; - F32 LARGE_RADIUS = 10.0f; - - struct line_data - { - }; - typedef test_group<line_data> line_test; - typedef line_test::object line_object; - tut::line_test tline("LLLine"); - - template<> template<> - void line_object::test<1>() - { - // this is a test for LLLine::intersects(point) which returns true - // if the line passes within some tolerance of point - - // these tests will have some floating point error, - // so we need to specify how much error is ok - F32 allowable_relative_error = 0.00001f; - S32 number_of_tests = 100; - for (S32 test = 0; test < number_of_tests; ++test) - { - // generate some random point to be on the line - LLVector3 point_on_line( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - point_on_line.normalize(); - point_on_line *= ll_frand(LARGE_RADIUS); - - // generate some random point to "intersect" - LLVector3 random_direction ( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - random_direction.normalize(); - - LLVector3 random_offset( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - random_offset.normalize(); - random_offset *= ll_frand(SMALL_RADIUS); - - LLVector3 point = point_on_line + MEDIUM_RADIUS * random_direction - + random_offset; - - // compute the axis of approach (a unit vector between the points) - LLVector3 axis_of_approach = point - point_on_line; - axis_of_approach.normalize(); - - // compute the direction of the the first line (perp to axis_of_approach) - LLVector3 first_dir( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - first_dir.normalize(); - F32 dot = first_dir * axis_of_approach; - first_dir -= dot * axis_of_approach; // subtract component parallel to axis - first_dir.normalize(); - - // construct the line - LLVector3 another_point_on_line = point_on_line + ll_frand(LARGE_RADIUS) * first_dir; - LLLine line(another_point_on_line, point_on_line); - - // test that the intersection point is within MEDIUM_RADIUS + SMALL_RADIUS - F32 test_radius = MEDIUM_RADIUS + SMALL_RADIUS; - test_radius += (LARGE_RADIUS * allowable_relative_error); - ensure("line should pass near intersection point", line.intersects(point, test_radius)); - - test_radius = allowable_relative_error * (point - point_on_line).length(); - ensure("line should intersect point used to define it", line.intersects(point_on_line, test_radius)); - } - } - - template<> template<> - void line_object::test<2>() - { - /* - These tests fail intermittently on all platforms - see DEV-16600 - Commenting this out until dev has time to investigate. - - // this is a test for LLLine::nearestApproach(LLLIne) method - // which computes the point on a line nearest another line - - // these tests will have some floating point error, - // so we need to specify how much error is ok - // TODO -- make nearestApproach() algorithm more accurate so - // we can tighten the allowable_error. Most tests are tighter - // than one milimeter, however when doing randomized testing - // you can walk into inaccurate cases. - F32 allowable_relative_error = 0.001f; - S32 number_of_tests = 100; - for (S32 test = 0; test < number_of_tests; ++test) - { - // generate two points to be our known nearest approaches - LLVector3 some_point( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - some_point.normalize(); - some_point *= ll_frand(LARGE_RADIUS); - - LLVector3 another_point( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - another_point.normalize(); - another_point *= ll_frand(LARGE_RADIUS); - - // compute the axis of approach (a unit vector between the points) - LLVector3 axis_of_approach = another_point - some_point; - axis_of_approach.normalize(); - - // compute the direction of the the first line (perp to axis_of_approach) - LLVector3 first_dir( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - F32 dot = first_dir * axis_of_approach; - first_dir -= dot * axis_of_approach; // subtract component parallel to axis - first_dir.normalize(); // normalize - - // compute the direction of the the second line - LLVector3 second_dir( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - dot = second_dir * axis_of_approach; - second_dir -= dot * axis_of_approach; - second_dir.normalize(); - - // make sure the lines aren't too parallel, - dot = fabsf(first_dir * second_dir); - if (dot > 0.99f) - { - // skip this test, we're not interested in testing - // the intractible cases - continue; - } - - // construct the lines - LLVector3 first_point = some_point + ll_frand(LARGE_RADIUS) * first_dir; - LLLine first_line(first_point, some_point); - - LLVector3 second_point = another_point + ll_frand(LARGE_RADIUS) * second_dir; - LLLine second_line(second_point, another_point); - - // compute the points of nearest approach - LLVector3 some_computed_point = first_line.nearestApproach(second_line); - LLVector3 another_computed_point = second_line.nearestApproach(first_line); - - // compute the error - F32 first_error = (some_point - some_computed_point).length(); - F32 scale = llmax((some_point - another_point).length(), some_point.length()); - scale = llmax(scale, another_point.length()); - scale = llmax(scale, 1.f); - F32 first_relative_error = first_error / scale; - - F32 second_error = (another_point - another_computed_point).length(); - F32 second_relative_error = second_error / scale; - - //if (first_relative_error > allowable_relative_error) - //{ - // std::cout << "first_error = " << first_error - // << " first_relative_error = " << first_relative_error - // << " scale = " << scale - // << " dir_dot = " << (first_dir * second_dir) - // << std::endl; - //} - //if (second_relative_error > allowable_relative_error) - //{ - // std::cout << "second_error = " << second_error - // << " second_relative_error = " << second_relative_error - // << " scale = " << scale - // << " dist = " << (some_point - another_point).length() - // << " dir_dot = " << (first_dir * second_dir) - // << std::endl; - //} - - // test that the errors are small - - ensure("first line should accurately compute its closest approach", - first_relative_error <= allowable_relative_error); - ensure("second line should accurately compute its closest approach", - second_relative_error <= allowable_relative_error); - } - */ - } - - F32 ALMOST_PARALLEL = 0.99f; - template<> template<> - void line_object::test<3>() - { - // this is a test for LLLine::getIntersectionBetweenTwoPlanes() method - - // first some known tests - LLLine xy_plane(LLVector3(0.f, 0.f, 2.f), LLVector3(0.f, 0.f, 3.f)); - LLLine yz_plane(LLVector3(2.f, 0.f, 0.f), LLVector3(3.f, 0.f, 0.f)); - LLLine zx_plane(LLVector3(0.f, 2.f, 0.f), LLVector3(0.f, 3.f, 0.f)); - - LLLine x_line; - LLLine y_line; - LLLine z_line; - - bool x_success = LLLine::getIntersectionBetweenTwoPlanes(x_line, xy_plane, zx_plane); - bool y_success = LLLine::getIntersectionBetweenTwoPlanes(y_line, yz_plane, xy_plane); - bool z_success = LLLine::getIntersectionBetweenTwoPlanes(z_line, zx_plane, yz_plane); - - ensure("xy and zx planes should intersect", x_success); - ensure("yz and xy planes should intersect", y_success); - ensure("zx and yz planes should intersect", z_success); - - LLVector3 direction = x_line.getDirection(); - ensure("x_line should be parallel to x_axis", fabs(direction.mV[VX]) == 1.f - && 0.f == direction.mV[VY] - && 0.f == direction.mV[VZ] ); - direction = y_line.getDirection(); - ensure("y_line should be parallel to y_axis", 0.f == direction.mV[VX] - && fabs(direction.mV[VY]) == 1.f - && 0.f == direction.mV[VZ] ); - direction = z_line.getDirection(); - ensure("z_line should be parallel to z_axis", 0.f == direction.mV[VX] - && 0.f == direction.mV[VY] - && fabs(direction.mV[VZ]) == 1.f ); - - // next some random tests - F32 allowable_relative_error = 0.0001f; - S32 number_of_tests = 20; - for (S32 test = 0; test < number_of_tests; ++test) - { - // generate the known line - LLVector3 some_point( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - some_point.normalize(); - some_point *= ll_frand(LARGE_RADIUS); - LLVector3 another_point( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - another_point.normalize(); - another_point *= ll_frand(LARGE_RADIUS); - LLLine known_intersection(some_point, another_point); - - // compute a plane that intersect the line - LLVector3 point_on_plane( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - point_on_plane.normalize(); - point_on_plane *= ll_frand(LARGE_RADIUS); - LLVector3 plane_normal = (point_on_plane - some_point) % known_intersection.getDirection(); - plane_normal.normalize(); - LLLine first_plane(point_on_plane, point_on_plane + plane_normal); - - // compute a different plane that intersect the line - LLVector3 point_on_different_plane( ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f, - ll_frand(2.f) - 1.f); - point_on_different_plane.normalize(); - point_on_different_plane *= ll_frand(LARGE_RADIUS); - LLVector3 different_plane_normal = (point_on_different_plane - another_point) % known_intersection.getDirection(); - different_plane_normal.normalize(); - LLLine second_plane(point_on_different_plane, point_on_different_plane + different_plane_normal); - - if (fabs(plane_normal * different_plane_normal) > ALMOST_PARALLEL) - { - // the two planes are approximately parallel, so we won't test this case - continue; - } - - LLLine measured_intersection; - bool success = LLLine::getIntersectionBetweenTwoPlanes( - measured_intersection, - first_plane, - second_plane); - - ensure("plane intersection should succeed", success); - - F32 dot = fabs(known_intersection.getDirection() * measured_intersection.getDirection()); - ensure("measured intersection should be parallel to known intersection", - dot > ALMOST_PARALLEL); - - ensure("measured intersection should pass near known point", - measured_intersection.intersects(some_point, LARGE_RADIUS * allowable_relative_error)); - } - } -} - +/**
+ * @file math.cpp
+ * @author Phoenix
+ * @date 2005-09-26
+ * @brief Tests for the llmath library.
+ *
+ * $LicenseInfo:firstyear=2005&license=viewerlgpl$
+ * Second Life Viewer Source Code
+ * Copyright (C) 2010, Linden Research, Inc.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation;
+ * version 2.1 of the License only.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ *
+ * Linden Research, Inc., 945 Battery Street, San Francisco, CA 94111 USA
+ * $/LicenseInfo$
+ */
+
+#include "linden_common.h"
+#include "../test/lltut.h"
+
+#include "llcrc.h"
+#include "llrand.h"
+#include "lluuid.h"
+
+#include "../llline.h"
+#include "../llmath.h"
+#include "../llsphere.h"
+#include "../v3math.h"
+
+namespace tut
+{
+ struct math_data
+ {
+ };
+ typedef test_group<math_data> math_test;
+ typedef math_test::object math_object;
+ tut::math_test tm("BasicLindenMath");
+
+ template<> template<>
+ void math_object::test<1>()
+ {
+ S32 val = 89543;
+ val = llabs(val);
+ ensure("integer absolute value 1", (89543 == val));
+ val = -500;
+ val = llabs(val);
+ ensure("integer absolute value 2", (500 == val));
+ }
+
+ template<> template<>
+ void math_object::test<2>()
+ {
+ F32 val = -2583.4f;
+ val = llabs(val);
+ ensure("float absolute value 1", (2583.4f == val));
+ val = 430903.f;
+ val = llabs(val);
+ ensure("float absolute value 2", (430903.f == val));
+ }
+
+ template<> template<>
+ void math_object::test<3>()
+ {
+ F64 val = 387439393.987329839;
+ val = llabs(val);
+ ensure("double absolute value 1", (387439393.987329839 == val));
+ val = -8937843.9394878;
+ val = llabs(val);
+ ensure("double absolute value 2", (8937843.9394878 == val));
+ }
+
+ template<> template<>
+ void math_object::test<4>()
+ {
+ F32 val = 430903.9f;
+ S32 val1 = lltrunc(val);
+ ensure("float truncate value 1", (430903 == val1));
+ val = -2303.9f;
+ val1 = lltrunc(val);
+ ensure("float truncate value 2", (-2303 == val1));
+ }
+
+ template<> template<>
+ void math_object::test<5>()
+ {
+ F64 val = 387439393.987329839 ;
+ S32 val1 = lltrunc(val);
+ ensure("float truncate value 1", (387439393 == val1));
+ val = -387439393.987329839;
+ val1 = lltrunc(val);
+ ensure("float truncate value 2", (-387439393 == val1));
+ }
+
+ template<> template<>
+ void math_object::test<6>()
+ {
+ F32 val = 430903.2f;
+ S32 val1 = llfloor(val);
+ ensure("float llfloor value 1", (430903 == val1));
+ val = -430903.9f;
+ val1 = llfloor(val);
+ ensure("float llfloor value 2", (-430904 == val1));
+ }
+
+ template<> template<>
+ void math_object::test<7>()
+ {
+ F32 val = 430903.2f;
+ S32 val1 = llceil(val);
+ ensure("float llceil value 1", (430904 == val1));
+ val = -430903.9f;
+ val1 = llceil(val);
+ ensure("float llceil value 2", (-430903 == val1));
+ }
+
+ template<> template<>
+ void math_object::test<8>()
+ {
+ F32 val = 430903.2f;
+ S32 val1 = ll_round(val);
+ ensure("float ll_round value 1", (430903 == val1));
+ val = -430903.9f;
+ val1 = ll_round(val);
+ ensure("float ll_round value 2", (-430904 == val1));
+ }
+
+ template<> template<>
+ void math_object::test<9>()
+ {
+ F32 val = 430905.2654f, nearest = 100.f;
+ val = ll_round(val, nearest);
+ ensure("float ll_round value 1", (430900 == val));
+ val = -430905.2654f, nearest = 10.f;
+ val = ll_round(val, nearest);
+ ensure("float ll_round value 1", (-430910 == val));
+ }
+
+ template<> template<>
+ void math_object::test<10>()
+ {
+ F64 val = 430905.2654, nearest = 100.0;
+ val = ll_round(val, nearest);
+ ensure("double ll_round value 1", (430900 == val));
+ val = -430905.2654, nearest = 10.0;
+ val = ll_round(val, nearest);
+ ensure("double ll_round value 1", (-430910.00000 == val));
+ }
+
+ template<> template<>
+ void math_object::test<11>()
+ {
+ const F32 F_PI = 3.1415926535897932384626433832795f;
+ F32 angle = 3506.f;
+ angle = llsimple_angle(angle);
+ ensure("llsimple_angle value 1", (angle <=F_PI && angle >= -F_PI));
+ angle = -431.f;
+ angle = llsimple_angle(angle);
+ ensure("llsimple_angle value 1", (angle <=F_PI && angle >= -F_PI));
+ }
+}
+
+namespace tut
+{
+ struct uuid_data
+ {
+ LLUUID id;
+ };
+ typedef test_group<uuid_data> uuid_test;
+ typedef uuid_test::object uuid_object;
+ tut::uuid_test tu("LLUUID");
+
+ template<> template<>
+ void uuid_object::test<1>()
+ {
+ ensure("uuid null", id.isNull());
+ id.generate();
+ ensure("generate not null", id.notNull());
+ id.setNull();
+ ensure("set null", id.isNull());
+ }
+
+ template<> template<>
+ void uuid_object::test<2>()
+ {
+ id.generate();
+ LLUUID a(id);
+ ensure_equals("copy equal", id, a);
+ a.generate();
+ ensure_not_equals("generate not equal", id, a);
+ a = id;
+ ensure_equals("assignment equal", id, a);
+ }
+
+ template<> template<>
+ void uuid_object::test<3>()
+ {
+ id.generate();
+ LLUUID copy(id);
+ LLUUID mask;
+ mask.generate();
+ copy ^= mask;
+ ensure_not_equals("mask not equal", id, copy);
+ copy ^= mask;
+ ensure_equals("mask back", id, copy);
+ }
+
+ template<> template<>
+ void uuid_object::test<4>()
+ {
+ id.generate();
+ std::string id_str = id.asString();
+ LLUUID copy(id_str.c_str());
+ ensure_equals("string serialization", id, copy);
+ }
+
+}
+
+namespace tut
+{
+ struct crc_data
+ {
+ };
+ typedef test_group<crc_data> crc_test;
+ typedef crc_test::object crc_object;
+ tut::crc_test tc("LLCrc");
+
+ template<> template<>
+ void crc_object::test<1>()
+ {
+ /* Test buffer update and individual char update */
+ const char TEST_BUFFER[] = "hello &#$)$&Nd0";
+ LLCRC c1, c2;
+ c1.update((U8*)TEST_BUFFER, sizeof(TEST_BUFFER) - 1);
+ char* rh = (char*)TEST_BUFFER;
+ while(*rh != '\0')
+ {
+ c2.update(*rh);
+ ++rh;
+ }
+ ensure_equals("crc update 1", c1.getCRC(), c2.getCRC());
+ }
+
+ template<> template<>
+ void crc_object::test<2>()
+ {
+ /* Test mixing of buffer and individual char update */
+ const char TEST_BUFFER1[] = "Split Buffer one $^%$%#@$";
+ const char TEST_BUFFER2[] = "Split Buffer two )(8723#5dsds";
+ LLCRC c1, c2;
+ c1.update((U8*)TEST_BUFFER1, sizeof(TEST_BUFFER1) - 1);
+ char* rh = (char*)TEST_BUFFER2;
+ while(*rh != '\0')
+ {
+ c1.update(*rh);
+ ++rh;
+ }
+
+ rh = (char*)TEST_BUFFER1;
+ while(*rh != '\0')
+ {
+ c2.update(*rh);
+ ++rh;
+ }
+ c2.update((U8*)TEST_BUFFER2, sizeof(TEST_BUFFER2) - 1);
+
+ ensure_equals("crc update 2", c1.getCRC(), c2.getCRC());
+ }
+}
+
+namespace tut
+{
+ struct sphere_data
+ {
+ };
+ typedef test_group<sphere_data> sphere_test;
+ typedef sphere_test::object sphere_object;
+ tut::sphere_test tsphere("LLSphere");
+
+ template<> template<>
+ void sphere_object::test<1>()
+ {
+ // test LLSphere::contains() and ::overlaps()
+ S32 number_of_tests = 10;
+ for (S32 test = 0; test < number_of_tests; ++test)
+ {
+ LLVector3 first_center(1.f, 1.f, 1.f);
+ F32 first_radius = 3.f;
+ LLSphere first_sphere( first_center, first_radius );
+
+ F32 half_millimeter = 0.0005f;
+ LLVector3 direction( ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f);
+ direction.normalize();
+
+ F32 distance = ll_frand(first_radius - 2.f * half_millimeter);
+ LLVector3 second_center = first_center + distance * direction;
+ F32 second_radius = first_radius - distance - half_millimeter;
+ LLSphere second_sphere( second_center, second_radius );
+ ensure("first sphere should contain the second", first_sphere.contains(second_sphere));
+ ensure("first sphere should overlap the second", first_sphere.overlaps(second_sphere));
+
+ distance = first_radius + ll_frand(first_radius);
+ second_center = first_center + distance * direction;
+ second_radius = distance - first_radius + half_millimeter;
+ second_sphere.set( second_center, second_radius );
+ ensure("first sphere should NOT contain the second", !first_sphere.contains(second_sphere));
+ ensure("first sphere should overlap the second", first_sphere.overlaps(second_sphere));
+
+ distance = first_radius + ll_frand(first_radius) + half_millimeter;
+ second_center = first_center + distance * direction;
+ second_radius = distance - first_radius - half_millimeter;
+ second_sphere.set( second_center, second_radius );
+ ensure("first sphere should NOT contain the second", !first_sphere.contains(second_sphere));
+ ensure("first sphere should NOT overlap the second", !first_sphere.overlaps(second_sphere));
+ }
+ }
+
+ template<> template<>
+ void sphere_object::test<2>()
+ {
+ skip("See SNOW-620. Neither the test nor the code being tested seem good. Also sim-only.");
+
+ // test LLSphere::getBoundingSphere()
+ S32 number_of_tests = 100;
+ S32 number_of_spheres = 10;
+ F32 sphere_center_range = 32.f;
+ F32 sphere_radius_range = 5.f;
+
+ for (S32 test = 0; test < number_of_tests; ++test)
+ {
+ // gegnerate a bunch of random sphere
+ std::vector< LLSphere > sphere_list;
+ for (S32 sphere_count=0; sphere_count < number_of_spheres; ++sphere_count)
+ {
+ LLVector3 direction( ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f, ll_frand(2.f) - 1.f);
+ direction.normalize();
+ F32 distance = ll_frand(sphere_center_range);
+ LLVector3 center = distance * direction;
+ F32 radius = ll_frand(sphere_radius_range);
+ LLSphere sphere( center, radius );
+ sphere_list.push_back(sphere);
+ }
+
+ // compute the bounding sphere
+ LLSphere bounding_sphere = LLSphere::getBoundingSphere(sphere_list);
+
+ // make sure all spheres are inside the bounding sphere
+ {
+ std::vector< LLSphere >::const_iterator sphere_itr;
+ for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr)
+ {
+ ensure("sphere should be contained by the bounding sphere", bounding_sphere.contains(*sphere_itr));
+ }
+ }
+
+ // TODO -- improve LLSphere::getBoundingSphere() to the point where
+ // we can reduce the 'expansion' in the two tests below to about
+ // 2 mm or less
+
+ F32 expansion = 0.005f;
+ // move all spheres out a little bit
+ // and count how many are NOT contained
+ {
+ std::vector< LLVector3 > uncontained_directions;
+ std::vector< LLSphere >::iterator sphere_itr;
+ for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr)
+ {
+ LLVector3 direction = sphere_itr->getCenter() - bounding_sphere.getCenter();
+ direction.normalize();
+
+ sphere_itr->setCenter( sphere_itr->getCenter() + expansion * direction );
+ if (! bounding_sphere.contains( *sphere_itr ) )
+ {
+ uncontained_directions.push_back(direction);
+ }
+ }
+ ensure("when moving spheres out there should be at least two uncontained spheres",
+ uncontained_directions.size() > 1);
+
+ /* TODO -- when the bounding sphere algorithm is improved we can open up this test
+ * at the moment it occasionally fails when the sphere collection is tight and small
+ * (2 meters or less)
+ if (2 == uncontained_directions.size() )
+ {
+ // if there were only two uncontained spheres then
+ // the two directions should be nearly opposite
+ F32 dir_dot = uncontained_directions[0] * uncontained_directions[1];
+ ensure("two uncontained spheres should lie opposite the bounding center", dir_dot < -0.95f);
+ }
+ */
+ }
+
+ // compute the new bounding sphere
+ bounding_sphere = LLSphere::getBoundingSphere(sphere_list);
+
+ // increase the size of all spheres a little bit
+ // and count how many are NOT contained
+ {
+ std::vector< LLVector3 > uncontained_directions;
+ std::vector< LLSphere >::iterator sphere_itr;
+ for (sphere_itr = sphere_list.begin(); sphere_itr != sphere_list.end(); ++sphere_itr)
+ {
+ LLVector3 direction = sphere_itr->getCenter() - bounding_sphere.getCenter();
+ direction.normalize();
+
+ sphere_itr->setRadius( sphere_itr->getRadius() + expansion );
+ if (! bounding_sphere.contains( *sphere_itr ) )
+ {
+ uncontained_directions.push_back(direction);
+ }
+ }
+ ensure("when boosting sphere radii there should be at least two uncontained spheres",
+ uncontained_directions.size() > 1);
+
+ /* TODO -- when the bounding sphere algorithm is improved we can open up this test
+ * at the moment it occasionally fails when the sphere collection is tight and small
+ * (2 meters or less)
+ if (2 == uncontained_directions.size() )
+ {
+ // if there were only two uncontained spheres then
+ // the two directions should be nearly opposite
+ F32 dir_dot = uncontained_directions[0] * uncontained_directions[1];
+ ensure("two uncontained spheres should lie opposite the bounding center", dir_dot < -0.95f);
+ }
+ */
+ }
+ }
+ }
+}
+
+namespace tut
+{
+ F32 SMALL_RADIUS = 1.0f;
+ F32 MEDIUM_RADIUS = 5.0f;
+ F32 LARGE_RADIUS = 10.0f;
+
+ struct line_data
+ {
+ };
+ typedef test_group<line_data> line_test;
+ typedef line_test::object line_object;
+ tut::line_test tline("LLLine");
+
+ template<> template<>
+ void line_object::test<1>()
+ {
+ // this is a test for LLLine::intersects(point) which returns true
+ // if the line passes within some tolerance of point
+
+ // these tests will have some floating point error,
+ // so we need to specify how much error is ok
+ F32 allowable_relative_error = 0.00001f;
+ S32 number_of_tests = 100;
+ for (S32 test = 0; test < number_of_tests; ++test)
+ {
+ // generate some random point to be on the line
+ LLVector3 point_on_line( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ point_on_line.normalize();
+ point_on_line *= ll_frand(LARGE_RADIUS);
+
+ // generate some random point to "intersect"
+ LLVector3 random_direction ( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ random_direction.normalize();
+
+ LLVector3 random_offset( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ random_offset.normalize();
+ random_offset *= ll_frand(SMALL_RADIUS);
+
+ LLVector3 point = point_on_line + MEDIUM_RADIUS * random_direction
+ + random_offset;
+
+ // compute the axis of approach (a unit vector between the points)
+ LLVector3 axis_of_approach = point - point_on_line;
+ axis_of_approach.normalize();
+
+ // compute the direction of the the first line (perp to axis_of_approach)
+ LLVector3 first_dir( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ first_dir.normalize();
+ F32 dot = first_dir * axis_of_approach;
+ first_dir -= dot * axis_of_approach; // subtract component parallel to axis
+ first_dir.normalize();
+
+ // construct the line
+ LLVector3 another_point_on_line = point_on_line + ll_frand(LARGE_RADIUS) * first_dir;
+ LLLine line(another_point_on_line, point_on_line);
+
+ // test that the intersection point is within MEDIUM_RADIUS + SMALL_RADIUS
+ F32 test_radius = MEDIUM_RADIUS + SMALL_RADIUS;
+ test_radius += (LARGE_RADIUS * allowable_relative_error);
+ ensure("line should pass near intersection point", line.intersects(point, test_radius));
+
+ test_radius = allowable_relative_error * (point - point_on_line).length();
+ ensure("line should intersect point used to define it", line.intersects(point_on_line, test_radius));
+ }
+ }
+
+ template<> template<>
+ void line_object::test<2>()
+ {
+ /*
+ These tests fail intermittently on all platforms - see DEV-16600
+ Commenting this out until dev has time to investigate.
+
+ // this is a test for LLLine::nearestApproach(LLLIne) method
+ // which computes the point on a line nearest another line
+
+ // these tests will have some floating point error,
+ // so we need to specify how much error is ok
+ // TODO -- make nearestApproach() algorithm more accurate so
+ // we can tighten the allowable_error. Most tests are tighter
+ // than one milimeter, however when doing randomized testing
+ // you can walk into inaccurate cases.
+ F32 allowable_relative_error = 0.001f;
+ S32 number_of_tests = 100;
+ for (S32 test = 0; test < number_of_tests; ++test)
+ {
+ // generate two points to be our known nearest approaches
+ LLVector3 some_point( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ some_point.normalize();
+ some_point *= ll_frand(LARGE_RADIUS);
+
+ LLVector3 another_point( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ another_point.normalize();
+ another_point *= ll_frand(LARGE_RADIUS);
+
+ // compute the axis of approach (a unit vector between the points)
+ LLVector3 axis_of_approach = another_point - some_point;
+ axis_of_approach.normalize();
+
+ // compute the direction of the the first line (perp to axis_of_approach)
+ LLVector3 first_dir( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ F32 dot = first_dir * axis_of_approach;
+ first_dir -= dot * axis_of_approach; // subtract component parallel to axis
+ first_dir.normalize(); // normalize
+
+ // compute the direction of the the second line
+ LLVector3 second_dir( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ dot = second_dir * axis_of_approach;
+ second_dir -= dot * axis_of_approach;
+ second_dir.normalize();
+
+ // make sure the lines aren't too parallel,
+ dot = fabsf(first_dir * second_dir);
+ if (dot > 0.99f)
+ {
+ // skip this test, we're not interested in testing
+ // the intractible cases
+ continue;
+ }
+
+ // construct the lines
+ LLVector3 first_point = some_point + ll_frand(LARGE_RADIUS) * first_dir;
+ LLLine first_line(first_point, some_point);
+
+ LLVector3 second_point = another_point + ll_frand(LARGE_RADIUS) * second_dir;
+ LLLine second_line(second_point, another_point);
+
+ // compute the points of nearest approach
+ LLVector3 some_computed_point = first_line.nearestApproach(second_line);
+ LLVector3 another_computed_point = second_line.nearestApproach(first_line);
+
+ // compute the error
+ F32 first_error = (some_point - some_computed_point).length();
+ F32 scale = llmax((some_point - another_point).length(), some_point.length());
+ scale = llmax(scale, another_point.length());
+ scale = llmax(scale, 1.f);
+ F32 first_relative_error = first_error / scale;
+
+ F32 second_error = (another_point - another_computed_point).length();
+ F32 second_relative_error = second_error / scale;
+
+ //if (first_relative_error > allowable_relative_error)
+ //{
+ // std::cout << "first_error = " << first_error
+ // << " first_relative_error = " << first_relative_error
+ // << " scale = " << scale
+ // << " dir_dot = " << (first_dir * second_dir)
+ // << std::endl;
+ //}
+ //if (second_relative_error > allowable_relative_error)
+ //{
+ // std::cout << "second_error = " << second_error
+ // << " second_relative_error = " << second_relative_error
+ // << " scale = " << scale
+ // << " dist = " << (some_point - another_point).length()
+ // << " dir_dot = " << (first_dir * second_dir)
+ // << std::endl;
+ //}
+
+ // test that the errors are small
+
+ ensure("first line should accurately compute its closest approach",
+ first_relative_error <= allowable_relative_error);
+ ensure("second line should accurately compute its closest approach",
+ second_relative_error <= allowable_relative_error);
+ }
+ */
+ }
+
+ F32 ALMOST_PARALLEL = 0.99f;
+ template<> template<>
+ void line_object::test<3>()
+ {
+ // this is a test for LLLine::getIntersectionBetweenTwoPlanes() method
+
+ // first some known tests
+ LLLine xy_plane(LLVector3(0.f, 0.f, 2.f), LLVector3(0.f, 0.f, 3.f));
+ LLLine yz_plane(LLVector3(2.f, 0.f, 0.f), LLVector3(3.f, 0.f, 0.f));
+ LLLine zx_plane(LLVector3(0.f, 2.f, 0.f), LLVector3(0.f, 3.f, 0.f));
+
+ LLLine x_line;
+ LLLine y_line;
+ LLLine z_line;
+
+ bool x_success = LLLine::getIntersectionBetweenTwoPlanes(x_line, xy_plane, zx_plane);
+ bool y_success = LLLine::getIntersectionBetweenTwoPlanes(y_line, yz_plane, xy_plane);
+ bool z_success = LLLine::getIntersectionBetweenTwoPlanes(z_line, zx_plane, yz_plane);
+
+ ensure("xy and zx planes should intersect", x_success);
+ ensure("yz and xy planes should intersect", y_success);
+ ensure("zx and yz planes should intersect", z_success);
+
+ LLVector3 direction = x_line.getDirection();
+ ensure("x_line should be parallel to x_axis", fabs(direction.mV[VX]) == 1.f
+ && 0.f == direction.mV[VY]
+ && 0.f == direction.mV[VZ] );
+ direction = y_line.getDirection();
+ ensure("y_line should be parallel to y_axis", 0.f == direction.mV[VX]
+ && fabs(direction.mV[VY]) == 1.f
+ && 0.f == direction.mV[VZ] );
+ direction = z_line.getDirection();
+ ensure("z_line should be parallel to z_axis", 0.f == direction.mV[VX]
+ && 0.f == direction.mV[VY]
+ && fabs(direction.mV[VZ]) == 1.f );
+
+ // next some random tests
+ F32 allowable_relative_error = 0.0001f;
+ S32 number_of_tests = 20;
+ for (S32 test = 0; test < number_of_tests; ++test)
+ {
+ // generate the known line
+ LLVector3 some_point( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ some_point.normalize();
+ some_point *= ll_frand(LARGE_RADIUS);
+ LLVector3 another_point( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ another_point.normalize();
+ another_point *= ll_frand(LARGE_RADIUS);
+ LLLine known_intersection(some_point, another_point);
+
+ // compute a plane that intersect the line
+ LLVector3 point_on_plane( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ point_on_plane.normalize();
+ point_on_plane *= ll_frand(LARGE_RADIUS);
+ LLVector3 plane_normal = (point_on_plane - some_point) % known_intersection.getDirection();
+ plane_normal.normalize();
+ LLLine first_plane(point_on_plane, point_on_plane + plane_normal);
+
+ // compute a different plane that intersect the line
+ LLVector3 point_on_different_plane( ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f,
+ ll_frand(2.f) - 1.f);
+ point_on_different_plane.normalize();
+ point_on_different_plane *= ll_frand(LARGE_RADIUS);
+ LLVector3 different_plane_normal = (point_on_different_plane - another_point) % known_intersection.getDirection();
+ different_plane_normal.normalize();
+ LLLine second_plane(point_on_different_plane, point_on_different_plane + different_plane_normal);
+
+ if (fabs(plane_normal * different_plane_normal) > ALMOST_PARALLEL)
+ {
+ // the two planes are approximately parallel, so we won't test this case
+ continue;
+ }
+
+ LLLine measured_intersection;
+ bool success = LLLine::getIntersectionBetweenTwoPlanes(
+ measured_intersection,
+ first_plane,
+ second_plane);
+
+ ensure("plane intersection should succeed", success);
+
+ F32 dot = fabs(known_intersection.getDirection() * measured_intersection.getDirection());
+ ensure("measured intersection should be parallel to known intersection",
+ dot > ALMOST_PARALLEL);
+
+ ensure("measured intersection should pass near known point",
+ measured_intersection.intersects(some_point, LARGE_RADIUS * allowable_relative_error));
+ }
+ }
+}
+
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