Use SkMatrix44 for the underlying implementation of ui::Transform

ui/gfx/transform_unittest.cc

+// Copyright (c) 2011 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#include "ui/gfx/transform.h"
+
+#include <iostream>
+#include <limits>
+
+#include "base/basictypes.h"
+#include "testing/gtest/include/gtest/gtest.h"
+#include "ui/gfx/point3.h"
+
+namespace {
+
+bool PointsAreNearlyEqual(const gfx::Point3f& lhs,
+                          const gfx::Point3f& rhs) {
+  float epsilon = 0.0001f;
+  return lhs.SquaredDistanceTo(rhs) < epsilon;
+}
+
+TEST(XFormTest, Equality) {
+  ui::Transform lhs, rhs, interpolated;
+  rhs.matrix().set3x3(1, 2, 3,
+                      4, 5, 6,
+                      7, 8, 9);
+  interpolated = lhs;
+  for (int i = 0; i <= 100; ++i) {
+    for (int row = 0; row < 4; ++row) {
+      for (int col = 0; col < 4; ++col) {
+        float a = lhs.matrix().get(row, col);
+        float b = rhs.matrix().get(row, col);
+        float t = i / 100.0f;
+        interpolated.matrix().set(row, col, a + (b - a) * t);
+      }
+    }
+    if (i == 100) {
+      EXPECT_TRUE(rhs == interpolated);
+    } else {
+      EXPECT_TRUE(rhs != interpolated);
+    }
+  }
+  lhs = ui::Transform();
+  rhs = ui::Transform();
+  for (int i = 1; i < 100; ++i) {
+    lhs.SetTranslate(i, i);
+    rhs.SetTranslate(-i, -i);
+    EXPECT_TRUE(lhs != rhs);
+    rhs.ConcatTranslate(2*i, 2*i);
+    EXPECT_TRUE(lhs == rhs);
+  }
+}
+
+TEST(XFormTest, ConcatTranslate) {
+  static const struct TestCase {
+    int x1;
+    int y1;
+    float tx;
+    float ty;
+    int x2;
+    int y2;
+  } test_cases[] = {
+    { 0, 0, 10.0f, 20.0f, 10, 20 },
+    { 0, 0, -10.0f, -20.0f, 0, 0 },
+    { 0, 0, -10.0f, -20.0f, -10, -20 },
+    { 0, 0,
+      std::numeric_limits<float>::quiet_NaN(),
+      std::numeric_limits<float>::quiet_NaN(),
+      10, 20 },
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatTranslate(value.tx, value.ty);
+    gfx::Point3f p1(value.x1, value.y1, 0);
+    gfx::Point3f p2(value.x2, value.y2, 0);
+    xform.TransformPoint(p1);
+    if (value.tx == value.tx &&
+        value.ty == value.ty) {
+      EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+    }
+  }
+}
+
+TEST(XFormTest, ConcatScale) {
+  static const struct TestCase {
+    int before;
+    float scale;
+    int after;
+  } test_cases[] = {
+    { 1, 10.0f, 10 },
+    { 1, .1f, 1 },
+    { 1, 100.0f, 100 },
+    { 1, -1.0f, -100 },
+    { 1, std::numeric_limits<float>::quiet_NaN(), 1 }
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatScale(value.scale, value.scale);
+    gfx::Point3f p1(value.before, value.before, 0);
+    gfx::Point3f p2(value.after, value.after, 0);
+    xform.TransformPoint(p1);
+    if (value.scale == value.scale) {
+      EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+    }
+  }
+}
+
+TEST(XFormTest, ConcatRotate) {
+  static const struct TestCase {
+    int x1;
+    int y1;
+    float degrees;
+    int x2;
+    int y2;
+  } test_cases[] = {
+    { 1, 0, 90.0f, 0, 1 },
+    { 1, 0, -90.0f, 1, 0 },
+    { 1, 0, 90.0f, 0, 1 },
+    { 1, 0, 360.0f, 0, 1 },
+    { 1, 0, 0.0f, 0, 1 },
+    { 1, 0, std::numeric_limits<float>::quiet_NaN(), 1, 0 }
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatRotate(value.degrees);
+    gfx::Point3f p1(value.x1, value.y1, 0);
+    gfx::Point3f p2(value.x2, value.y2, 0);
+    xform.TransformPoint(p1);
+    if (value.degrees == value.degrees) {
+      EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+    }
+  }
+}
+
+TEST(XFormTest, SetTranslate) {
+  static const struct TestCase {
+    int x1; int y1;
+    float tx; float ty;
+    int x2; int y2;
+  } test_cases[] = {
+    { 0, 0, 10.0f, 20.0f, 10, 20 },
+    { 10, 20, 10.0f, 20.0f, 20, 40 },
+    { 10, 20, 0.0f, 0.0f, 10, 20 },
+    { 0, 0,
+      std::numeric_limits<float>::quiet_NaN(),
+      std::numeric_limits<float>::quiet_NaN(),
+      0, 0 }
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    for (int k = 0; k < 3; ++k) {
+      gfx::Point3f p0, p1, p2;
+      ui::Transform xform;
+      switch (k) {
+      case 0:
+        p1.SetPoint(value.x1, 0, 0);
+        p2.SetPoint(value.x2, 0, 0);
+        xform.SetTranslateX(value.tx);
+        break;
+      case 1:
+        p1.SetPoint(0, value.y1, 0);
+        p2.SetPoint(0, value.y2, 0);
+        xform.SetTranslateY(value.ty);
+        break;
+      case 2:
+        p1.SetPoint(value.x1, value.y1, 0);
+        p2.SetPoint(value.x2, value.y2, 0);
+        xform.SetTranslate(value.tx, value.ty);
+        break;
+      }
+      p0 = p1;
+      xform.TransformPoint(p1);
+      if (value.tx == value.tx &&
+          value.ty == value.ty) {
+        EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+        xform.TransformPointReverse(p1);
+        EXPECT_TRUE(PointsAreNearlyEqual(p1, p0));
+      }
+    }
+  }
+}
+
+TEST(XFormTest, SetScale) {
+  static const struct TestCase {
+    int before;
+    float s;
+    int after;
+  } test_cases[] = {
+    { 1, 10.0f, 10 },
+    { 1, 1.0f, 1 },
+    { 1, 0.0f, 0 },
+    { 0, 10.0f, 0 },
+    { 1, std::numeric_limits<float>::quiet_NaN(), 0 },
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    for (int k = 0; k < 3; ++k) {
+      gfx::Point3f p0, p1, p2;
+      ui::Transform xform;
+      switch (k) {
+      case 0:
+        p1.SetPoint(value.before, 0, 0);
+        p2.SetPoint(value.after, 0, 0);
+        xform.SetScaleX(value.s);
+        break;
+      case 1:
+        p1.SetPoint(0, value.before, 0);
+        p2.SetPoint(0, value.after, 0);
+        xform.SetScaleY(value.s);
+        break;
+      case 2:
+        p1.SetPoint(value.before, value.before, 0);
+        p2.SetPoint(value.after, value.after, 0);
+        xform.SetScale(value.s, value.s);
+        break;
+      }
+      p0 = p1;
+      xform.TransformPoint(p1);
+      if (value.s == value.s) {
+        EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+        if (value.s != 0.0f) {
+          xform.TransformPointReverse(p1);
+          EXPECT_TRUE(PointsAreNearlyEqual(p1, p0));
+        }
+      }
+    }
+  }
+}
+
+TEST(XFormTest, SetRotate) {
+  static const struct SetRotateCase {
+    int x;
+    int y;
+    float degree;
+    int xprime;
+    int yprime;
+  } set_rotate_cases[] = {
+    { 100, 0, 90.0f, 0, 100 },
+    { 0, 0, 90.0f, 0, 0 },
+    { 0, 100, 90.0f, -100, 0 },
+    { 0, 1, -90.0f, 1, 0 },
+    { 100, 0, 0.0f, 100, 0 },
+    { 0, 0, 0.0f, 0, 0 },
+    { 0, 0, std::numeric_limits<float>::quiet_NaN(), 0, 0 },
+    { 100, 0, 360.0f, 100, 0 }
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(set_rotate_cases); ++i) {
+    const SetRotateCase& value = set_rotate_cases[i];
+    gfx::Point3f p0;
+    gfx::Point3f p1(value.x, value.y, 0);
+    gfx::Point3f p2(value.xprime, value.yprime, 0);
+    p0 = p1;
+    ui::Transform xform;
+    xform.SetRotate(value.degree);
+    // just want to make sure that we don't crash in the case of NaN.
+    if (value.degree == value.degree) {
+      xform.TransformPoint(p1);
+      EXPECT_TRUE(PointsAreNearlyEqual(p1, p2));
+      xform.TransformPointReverse(p1);
+      EXPECT_TRUE(PointsAreNearlyEqual(p1, p0));
+    }
+  }
+}
+
+// 2D tests
+TEST(XFormTest, ConcatTranslate2D) {
+  static const struct TestCase {
+    int x1;
+    int y1;
+    float tx;
+    float ty;
+    int x2;
+    int y2;
+  } test_cases[] = {
+    { 0, 0, 10.0f, 20.0f, 10, 20},
+    { 0, 0, -10.0f, -20.0f, 0, 0},
+    { 0, 0, -10.0f, -20.0f, -10, -20},
+    { 0, 0,
+      std::numeric_limits<float>::quiet_NaN(),
+      std::numeric_limits<float>::quiet_NaN(),
+      10, 20},
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatTranslate(value.tx, value.ty);
+    gfx::Point p1(value.x1, value.y1);
+    gfx::Point p2(value.x2, value.y2);
+    xform.TransformPoint(p1);
+    if (value.tx == value.tx &&
+        value.ty == value.ty) {
+      EXPECT_EQ(p1.x(), p2.x());
+      EXPECT_EQ(p1.y(), p2.y());
+    }
+  }
+}
+
+TEST(XFormTest, ConcatScale2D) {
+  static const struct TestCase {
+    int before;
+    float scale;
+    int after;
+  } test_cases[] = {
+    { 1, 10.0f, 10},
+    { 1, .1f, 1},
+    { 1, 100.0f, 100},
+    { 1, -1.0f, -100},
+    { 1, std::numeric_limits<float>::quiet_NaN(), 1}
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatScale(value.scale, value.scale);
+    gfx::Point p1(value.before, value.before);
+    gfx::Point p2(value.after, value.after);
+    xform.TransformPoint(p1);
+    if (value.scale == value.scale) {
+      EXPECT_EQ(p1.x(), p2.x());
+      EXPECT_EQ(p1.y(), p2.y());
+    }
+  }
+}
+
+TEST(XFormTest, ConcatRotate2D) {
+  static const struct TestCase {
+    int x1;
+    int y1;
+    float degrees;
+    int x2;
+    int y2;
+  } test_cases[] = {
+    { 1, 0, 90.0f, 0, 1},
+    { 1, 0, -90.0f, 1, 0},
+    { 1, 0, 90.0f, 0, 1},
+    { 1, 0, 360.0f, 0, 1},
+    { 1, 0, 0.0f, 0, 1},
+    { 1, 0, std::numeric_limits<float>::quiet_NaN(), 1, 0}
+  };
+
+  ui::Transform xform;
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    xform.ConcatRotate(value.degrees);
+    gfx::Point p1(value.x1, value.y1);
+    gfx::Point p2(value.x2, value.y2);
+    xform.TransformPoint(p1);
+    if (value.degrees == value.degrees) {
+      EXPECT_EQ(p1.x(), p2.x());
+      EXPECT_EQ(p1.y(), p2.y());
+    }
+  }
+}
+
+TEST(XFormTest, SetTranslate2D) {
+  static const struct TestCase {
+    int x1; int y1;
+    float tx; float ty;
+    int x2; int y2;
+  } test_cases[] = {
+    { 0, 0, 10.0f, 20.0f, 10, 20},
+    { 10, 20, 10.0f, 20.0f, 20, 40},
+    { 10, 20, 0.0f, 0.0f, 10, 20},
+    { 0, 0,
+      std::numeric_limits<float>::quiet_NaN(),
+      std::numeric_limits<float>::quiet_NaN(),
+      0, 0}
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    for (int j = -1; j < 2; ++j) {
+      for (int k = 0; k < 3; ++k) {
+        float epsilon = 0.0001f;
+        gfx::Point p0, p1, p2;
+        ui::Transform xform;
+        switch (k) {
+        case 0:
+          p1.SetPoint(value.x1, 0);
+          p2.SetPoint(value.x2, 0);
+          xform.SetTranslateX(value.tx + j * epsilon);
+          break;
+        case 1:
+          p1.SetPoint(0, value.y1);
+          p2.SetPoint(0, value.y2);
+          xform.SetTranslateY(value.ty + j * epsilon);
+          break;
+        case 2:
+          p1.SetPoint(value.x1, value.y1);
+          p2.SetPoint(value.x2, value.y2);
+          xform.SetTranslate(value.tx + j * epsilon,
+                             value.ty + j * epsilon);
+          break;
+        }
+        p0 = p1;
+        xform.TransformPoint(p1);
+        if (value.tx == value.tx &&
+            value.ty == value.ty) {
+          EXPECT_EQ(p1.x(), p2.x());
+          EXPECT_EQ(p1.y(), p2.y());
+          xform.TransformPointReverse(p1);
+          EXPECT_EQ(p1.x(), p0.x());
+          EXPECT_EQ(p1.y(), p0.y());
+        }
+      }
+    }
+  }
+}
+
+TEST(XFormTest, SetScale2D) {
+  static const struct TestCase {
+    int before;
+    float s;
+    int after;
+  } test_cases[] = {
+    { 1, 10.0f, 10},
+    { 1, 1.0f, 1},
+    { 1, 0.0f, 0},
+    { 0, 10.0f, 0},
+    { 1, std::numeric_limits<float>::quiet_NaN(), 0},
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(test_cases); ++i) {
+    const TestCase& value = test_cases[i];
+    for (int j = -1; j < 2; ++j) {
+      for (int k = 0; k < 3; ++k) {
+        float epsilon = 0.0001f;
+        gfx::Point p0, p1, p2;
+        ui::Transform xform;
+        switch (k) {
+        case 0:
+          p1.SetPoint(value.before, 0);
+          p2.SetPoint(value.after, 0);
+          xform.SetScaleX(value.s + j * epsilon);
+          break;
+        case 1:
+          p1.SetPoint(0, value.before);
+          p2.SetPoint(0, value.after);
+          xform.SetScaleY(value.s + j * epsilon);
+          break;
+        case 2:
+          p1.SetPoint(value.before,
+                      value.before);
+          p2.SetPoint(value.after,
+                      value.after);
+          xform.SetScale(value.s + j * epsilon,
+                         value.s + j * epsilon);
+          break;
+        }
+        p0 = p1;
+        xform.TransformPoint(p1);
+        if (value.s == value.s) {
+          EXPECT_EQ(p1.x(), p2.x());
+          EXPECT_EQ(p1.y(), p2.y());
+          if (value.s != 0.0f) {
+            xform.TransformPointReverse(p1);
+            EXPECT_EQ(p1.x(), p0.x());
+            EXPECT_EQ(p1.y(), p0.y());
+          }
+        }
+      }
+    }
+  }
+}
+
+TEST(XFormTest, SetRotate2D) {
+  static const struct SetRotateCase {
+    int x;
+    int y;
+    float degree;
+    int xprime;
+    int yprime;
+  } set_rotate_cases[] = {
+    { 100, 0, 90.0f, 0, 100},
+    { 0, 0, 90.0f, 0, 0},
+    { 0, 100, 90.0f, -100, 0},
+    { 0, 1, -90.0f, 1, 0},
+    { 100, 0, 0.0f, 100, 0},
+    { 0, 0, 0.0f, 0, 0},
+    { 0, 0, std::numeric_limits<float>::quiet_NaN(), 0, 0},
+    { 100, 0, 360.0f, 100, 0}
+  };
+
+  for (size_t i = 0; i < ARRAYSIZE_UNSAFE(set_rotate_cases); ++i) {
+    const SetRotateCase& value = set_rotate_cases[i];
+    for (int j = 1; j >= -1; --j) {
+      float epsilon = 0.1f;
+      gfx::Point pt(value.x, value.y);
+      ui::Transform xform;
+      // should be invariant to small floating point errors.
+      xform.SetRotate(value.degree + j * epsilon);
+      // just want to make sure that we don't crash in the case of NaN.
+      if (value.degree == value.degree) {
+        xform.TransformPoint(pt);
+        EXPECT_EQ(value.xprime, pt.x());
+        EXPECT_EQ(value.yprime, pt.y());
+        xform.TransformPointReverse(pt);
+        EXPECT_EQ(pt.x(), value.x);
+        EXPECT_EQ(pt.y(), value.y);
+      }
+    }
+  }
+}
+
+} // namespace