text: /*
   * Copyright 2009 The Android Open Source Project
   *
   * Use of this source code is governed by a BSD-style license that can be
   * found in the LICENSE file.
   */
  
  #include "src/core/SkGeometry.h"
  #include "src/core/SkQuadClipper.h"
  
  #include <utility>
  
  SkQuadClipper::SkQuadClipper() {
      fClip.setEmpty();
  }
  
  void SkQuadClipper::setClip(const SkIRect& clip) {
      // conver to scalars, since that's where we'll see the points
      fClip.set(clip);
  }
  
  ///////////////////////////////////////////////////////////////////////////////
  
  static bool chopMonoQuadAt(SkScalar c0, SkScalar c1, SkScalar c2,
                             SkScalar target, SkScalar* t) {
      /* Solve F(t) = y where F(t) := [0](1-t)^2 + 2[1]t(1-t) + [2]t^2
       *  We solve for t, using quadratic equation, hence we have to rearrange
       * our cooefficents to look like At^2 + Bt + C
       */
      SkScalar A = c0 - c1 - c1 + c2;
      SkScalar B = 2*(c1 - c0);
      SkScalar C = c0 - target;
  
      SkScalar roots[2];  // we only expect one, but make room for 2 for safety
      int count = SkFindUnitQuadRoots(A, B, C, roots);
      if (count) {
          *t = roots[0];
          return true;
      }
      return false;
  }
  
  static bool chopMonoQuadAtY(SkPoint pts[3], SkScalar y, SkScalar* t) {
      return chopMonoQuadAt(pts[0].fY, pts[1].fY, pts[2].fY, y, t);
  }
  
  ///////////////////////////////////////////////////////////////////////////////
  
  /*  If we somehow returned the fact that we had to flip the pts in Y, we could
   communicate that to setQuadratic, and then avoid having to flip it back
   here (only to have setQuadratic do the flip again)
   */
  bool SkQuadClipper::clipQuad(const SkPoint srcPts[3], SkPoint dst[3]) {
      bool reverse;
  
      // we need the data to be monotonically increasing in Y
      if (srcPts[0].fY > srcPts[2].fY) {
          dst[0] = srcPts[2];
          dst[1] = srcPts[1];
          dst[2] = srcPts[0];
          reverse = true;
      } else {
          memcpy(dst, srcPts, 3 * sizeof(SkPoint));
          reverse = false;
      }
  
      // are we completely above or below
      const SkScalar ctop = fClip.fTop;
      const SkScalar cbot = fClip.fBottom;
      if (dst[2].fY <= ctop || dst[0].fY >= cbot) {
          return false;
      }
  
      SkScalar t;
      SkPoint tmp[5]; // for SkChopQuadAt
  
      // are we partially above
      if (dst[0].fY < ctop) {
          if (chopMonoQuadAtY(dst, ctop, &t)) {
              // take the 2nd chopped quad
              SkChopQuadAt(dst, tmp, t);
              dst[0] = tmp[2];
              dst[1] = tmp[3];
          } else {
              // if chopMonoQuadAtY failed, then we may have hit inexact numerics
              // so we just clamp against the top
              for (int i = 0; i < 3; i++) {
                  if (dst[i].fY < ctop) {
                      dst[i].fY = ctop;
                  }
              }
          }
      }
  
      // are we partially below
      if (dst[2].fY > cbot) {
          if (chopMonoQuadAtY(dst, cbot, &t)) {
              SkChopQuadAt(dst, tmp, t);
              dst[1] = tmp[1];
              dst[2] = tmp[2];
          } else {
              // if chopMonoQuadAtY failed, then we may have hit inexact numerics
              // so we just clamp against the bottom
              for (int i = 0; i < 3; i++) {
                  if (dst[i].fY > cbot) {
                      dst[i].fY = cbot;
                  }
              }
          }
      }
  
      if (reverse) {
          using std::swap;
          swap(dst[0], dst[2]);
      }
      return true;
  }
  