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      1 
      2 /*
      3  * Copyright 2011 Google Inc.
      4  *
      5  * Use of this source code is governed by a BSD-style license that can be
      6  * found in the LICENSE file.
      7  */
      8 #include "SkMatrix.h"
      9 
     10 // FIXME: needs to be in a header
     11 bool SkSetPoly3To3_D(SkMatrix* matrix, const SkPoint src[3], const SkPoint dst[3]);
     12 
     13 typedef int64_t SkDScalar;
     14 
     15 static SkScalar SkDScalar_toScalar(SkDScalar value) {
     16     SkDScalar result = (value + (1 << 15)) >> 16;
     17     SkDEBUGCODE(int top = static_cast<int>(result >> 31);)
     18     SkASSERT(top == 0 || top == -1);
     19     return (SkScalar)result;
     20 }
     21 
     22 static SkDScalar SkDScalar_setMul(SkScalar a, SkScalar b) {
     23     return (SkDScalar) ((SkDScalar) a * (SkDScalar) b);
     24 }
     25 
     26 static void computeOuterProduct(SkMatrix* matrix,
     27                                 const SkPoint pts0[3], const SkPoint& ave0,
     28                                 const SkPoint pts1[3], const SkPoint& ave1) {
     29     SkDScalar tmp[4];
     30     sk_bzero(tmp, sizeof(tmp));
     31 
     32     for (int i = 0; i < 3; i++) {
     33         SkScalar x0 = pts0[i].fX - ave0.fX;
     34         SkScalar y0 = pts0[i].fY - ave0.fY;
     35         SkScalar x1 = pts1[i].fX - ave1.fX;
     36         SkScalar y1 = pts1[i].fY - ave1.fY;
     37         tmp[0] += SkDScalar_setMul(x0, x1);
     38         tmp[1] += SkDScalar_setMul(x0, y1);
     39         tmp[2] += SkDScalar_setMul(y0, x1);
     40         tmp[3] += SkDScalar_setMul(y0, y1);
     41     }
     42     matrix->reset();
     43     matrix->setScaleX(SkDScalar_toScalar(tmp[0]));
     44     matrix->setSkewY( SkDScalar_toScalar(tmp[1]));
     45     matrix->setSkewX( SkDScalar_toScalar(tmp[2]));
     46     matrix->setScaleY(SkDScalar_toScalar(tmp[3]));
     47 }
     48 
     49 static SkScalar dot(SkScalar ax, SkScalar ay, SkScalar bx, SkScalar by) {
     50     return SkDScalar_toScalar(SkDScalar_setMul(ax, bx) +
     51                               SkDScalar_setMul(ay, by));
     52 }
     53 
     54 bool SkSetPoly3To3_D(SkMatrix* matrix, const SkPoint src[3], const SkPoint dst[3]) {
     55     const SkPoint& srcAve = src[0];
     56     const SkPoint& dstAve = dst[0];
     57 
     58     SkMatrix srcOP, dstOP;
     59 
     60     computeOuterProduct(&srcOP, src, srcAve, src, srcAve);
     61 
     62     if (!srcOP.invert(&srcOP)) {
     63         return false;
     64     }
     65 
     66     computeOuterProduct(&dstOP, src, srcAve, dst, dstAve);
     67 
     68     matrix->setConcat(dstOP, srcOP);
     69     matrix->setTranslateX(dstAve.fX - dot(srcAve.fX, srcAve.fY,
     70                                     matrix->getScaleX(), matrix->getSkewX()));
     71     matrix->setTranslateY(dstAve.fY - dot(srcAve.fX, srcAve.fY,
     72                                     matrix->getSkewY(), matrix->getScaleY()));
     73     return true;
     74 }
     75