236 lines
6.3 KiB
C++
236 lines
6.3 KiB
C++
#include "bezier.hpp"
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#include "debug.hpp"
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#include <cstdlib>
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//-----------------------------------------------------------------------------
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template <size_t> void test_eval (void);
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template <size_t> void test_intersect (void);
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template <size_t> void test_region (void);
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//-----------------------------------------------------------------------------
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template <>
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void
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test_eval<1> (void)
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{
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static const util::bezier<1> b1 ({{ 0.f, 0.f},
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{100.f, 100.f}});
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auto p0 = b1.eval(0.f);
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auto p1 = b1.eval(1.f);
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CHECK_EQ (p0, b1[0]);
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CHECK_EQ (p1, b1[1]);
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auto px = b1.eval(0.5f);
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auto rx = b1[0] + 0.5f * (b1[1]-b1[0]);
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CHECK_EQ (px, rx);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_eval<2> (void)
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{
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static const util::bezier<2> b2 ({{ 0.f, 0.f},
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{ 50.f, 50.f},
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{100.f, 100.f}});
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auto p0 = b2.eval(0.f);
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auto p2 = b2.eval(1.f);
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CHECK_EQ (p0, b2[0]);
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CHECK_EQ (p2, b2[2]);
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auto px = b2.eval(0.5f);
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auto rx = b2[0] + 0.5f * (b2[2]-b2[0]);
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CHECK_EQ (px, rx);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_eval<3> (void)
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{
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static const util::bezier<3> b3 ({{ 0.f, 0.f },
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{ 33.f, 33.f },
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{ 67.f, 67.f },
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{ 100.f, 100.f }});
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auto p0 = b3.eval (0.f);
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auto p3 = b3.eval (1.f);
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CHECK_EQ (p0, b3[0]);
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CHECK_EQ (p3, b3[3]);
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auto px = b3.eval (0.5f);
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auto rx = b3[0] + 0.5f * (b3[3] - b3[0]);
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CHECK_EQ (px, rx);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_intersect<1> (void)
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{
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// A line from (0,0) to (100,100)
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static const util::bezier<1> b1 ({{0.f, 0.f}, {100.f, 100.f}});
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// Through the centre
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CHECK_EQ (b1.intersections ({0.f, 100.f}, {100.f, 0.f}), 1);
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CHECK_EQ (b1.intersections ({100.f, 0.f}, {0.f, 100.f}), 1);
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// Coincident with endpoints
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CHECK_EQ (b1.intersections ({0.f, 0.f}, {1.f,0.f}), 1);
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CHECK_EQ (b1.intersections ({100.f, 100.f}, {100.f,0.f}), 1);
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// Co-planar
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CHECK_EQ (b1.intersections ({0.f, 0.f}, {1.f, 1.f}), 1);
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// Underneath
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CHECK_EQ (b1.intersections ({1000.f, -10.f}, {-1000.f, -10.f}), 0);
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// Above
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CHECK_EQ (b1.intersections ({1000.f, 110.f}, {-1000.f, 110.f}), 0);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_intersect<2> (void)
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{
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// A linear curve from (0,0) to (100,100)
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static const util::bezier<2> b2 ({{ 0.0f, 0.0f},
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{ 50.f, 50.f},
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{100.f, 100.f}});
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// Through the centre
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CHECK_EQ (b2.intersections ({100.f, 0.f}, {0.f, 100.f}), 1);
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CHECK_EQ (b2.intersections ({0.f, 100.f}, {100.f, 0.f}), 1);
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// Coincident with endpoints
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CHECK_EQ (b2.intersections ({0.f, 0.f}, {0.f,100.f}), 1);
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CHECK_EQ (b2.intersections ({0.f, 0.f}, {100.f,0.f}), 1);
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CHECK_EQ (b2.intersections ({100.f, 100.f}, {100.f,0.f}), 1);
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// Co-planar
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CHECK_EQ (b2.intersections ({0.f, 0.f}, {1.f, 1.f}), 1);
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// Underneath
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CHECK_EQ (b2.intersections ({1000.f, -10.f}, {-1000.f, -10.f}), 0);
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// Above
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CHECK_EQ (b2.intersections ({1000.f, 110.f}, {-1000.f, 110.f}), 0);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_intersect<3> (void)
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{
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// A linear curve from (0,0) to (100,100)
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static const util::bezier<3> b3 ({{ 0.f, 0.f },
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{ 33.f, 33.f },
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{ 67.f, 67.f },
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{ 100.f, 100.f }});
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// Through the centre
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CHECK_EQ (b3.intersections ({100.f, 0.f}, {0.f, 100.f}), 1);
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CHECK_EQ (b3.intersections ({0.f, 100.f}, {100.f, 0.f}), 1);
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// Coincident with endpoints
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CHECK_EQ (b3.intersections ({0.f, 0.f}, {0.f,100.f}), 1);
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CHECK_EQ (b3.intersections ({0.f, 0.f}, {100.f,0.f}), 1);
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CHECK_EQ (b3.intersections ({100.f, 100.f}, {100.f,0.f}), 1);
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// Co-planar
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CHECK_EQ (b3.intersections ({0.f, 0.f}, {1.f, 1.f}), 1);
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// Underneath
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CHECK_EQ (b3.intersections ({1000.f, -10.f}, {-1000.f, -10.f}), 0);
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// Above
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CHECK_EQ (b3.intersections ({1000.f, 110.f}, {-1000.f, 110.f}), 0);
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_region<1> (void)
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{
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util::point2f p0 { 0, 0 },
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p1 { 100, 0 },
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p2 { 100, 100 },
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p3 { 0, 100 };
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static const util::bezier<1> upright ({p0, p2});
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static const util::bezier<1> downleft ({p2, p0});
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static const util::bezier<1> vertical ({p0, p3});
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static const util::bezier<1> horizontal ({p0, p2});
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CHECK_EQ (upright.region (), util::region2f (p0, p2));
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CHECK_EQ (downleft.region (), util::region2f (p0, p2));
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CHECK_EQ (vertical.region (), util::region2f (p0, p3));
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CHECK_EQ (horizontal.region (), util::region2f (p0, p2));
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_region<2> (void)
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{
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util::point2f p0 { 0, 0 },
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p1 { 50, 50 },
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p2 { 100, 100 };
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static const util::bezier<2> upright({p0, p1, p2});
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CHECK_EQ (upright.region (), util::region2f (p0, p2));
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}
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//-----------------------------------------------------------------------------
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template <>
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void
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test_region<3> (void)
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{
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util::point2f p0 { 0, 0 },
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p1 { 33, 33 },
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p2 { 67, 67 },
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p3 { 100, 100 };
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static const util::bezier<3> upright({p0, p1, p2, p3});
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CHECK_EQ (upright.region (), util::region2f (p0, p3));
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}
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//-----------------------------------------------------------------------------
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int
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main (int, char**)
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{
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test_eval<1> ();
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test_eval<2> ();
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test_eval<3> ();
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test_intersect<1> ();
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test_intersect<2> ();
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test_intersect<3> ();
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test_region<1> ();
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test_region<2> ();
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test_region<3> ();
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return EXIT_SUCCESS;
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}
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