/** * @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_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 = llround(val); ensure("float llround value 1", (430903 == val1)); val = -430903.9f; val1 = llround(val); ensure("float llround value 2", (-430904 == val1)); } template<> template<> void math_object::test<9>() { F32 val = 430905.2654f, nearest = 100.f; val = llround(val, nearest); ensure("float llround value 1", (430900 == val)); val = -430905.2654f, nearest = 10.f; val = llround(val, nearest); ensure("float llround value 1", (-430910 == val)); } template<> template<> void math_object::test<10>() { F64 val = 430905.2654, nearest = 100.0; val = llround(val, nearest); ensure("double llround value 1", (430900 == val)); val = -430905.2654, nearest = 10.0; val = llround(val, nearest); ensure("double llround 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_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_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_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_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)); } } }