| 1 | /*========================================================================= | 
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| 2 |  | 
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| 3 |   Program:   Visualization Toolkit | 
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| 4 |   Module:    $RCSfile: Spline.cxx,v $ | 
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| 5 |  | 
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| 6 |   Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen | 
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| 7 |   All rights reserved. | 
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| 8 |   See Copyright.txt or http://www.kitware.com/Copyright.htm for details. | 
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| 9 |  | 
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| 10 |      This software is distributed WITHOUT ANY WARRANTY; without even | 
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| 11 |      the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR | 
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| 12 |      PURPOSE.  See the above copyright notice for more information. | 
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| 13 |  | 
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| 14 | =========================================================================*/ | 
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| 15 | #include "spline.h" | 
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| 16 |  | 
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| 17 |  | 
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| 18 | //---------------------------------------------------------------------------- | 
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| 19 | // Construct a spline wth the folloing defaults: | 
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| 20 | // ClampValueOff | 
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| 21 | Spline::Spline () | 
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| 22 | { | 
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| 23 |   this->ComputeTime = 0; | 
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| 24 |   this->ClampValue = 0; | 
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| 25 |   this->PiecewiseFunction = vtkPiecewiseFunction::New(); | 
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| 26 |   this->Intervals = NULL; | 
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| 27 |   this->Coefficients = NULL; | 
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| 28 |   this->LeftConstraint = 1; | 
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| 29 |   this->LeftValue = 0.0; | 
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| 30 |   this->RightConstraint = 1; | 
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| 31 |   this->RightValue = 0.0; | 
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| 32 |   this->Closed = 0; | 
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| 33 |  | 
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| 34 |   this->ParametricRange[0] = -1; | 
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| 35 |   this->ParametricRange[1] = -1; | 
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| 36 | } | 
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| 37 |  | 
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| 38 | //---------------------------------------------------------------------------- | 
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| 39 | Spline::~Spline () | 
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| 40 | { | 
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| 41 |   this->PiecewiseFunction->Delete(); | 
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| 42 |   if (this->Coefficients) | 
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| 43 |   { | 
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| 44 |     delete [] this->Coefficients; | 
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| 45 |   } | 
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| 46 |   if (this->Intervals) | 
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| 47 |   { | 
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| 48 |     delete [] this->Intervals; | 
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| 49 |   } | 
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| 50 | } | 
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| 51 |  | 
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| 52 | //---------------------------------------------------------------------------- | 
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| 53 | void Spline::SetParametricRange(double tMin, double tMax) | 
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| 54 | { | 
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| 55 |   if ( tMin != this->ParametricRange[0] || tMax != this->ParametricRange[1] ) | 
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| 56 |   { | 
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| 57 |     if ( tMin >= tMax ) | 
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| 58 |     { | 
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| 59 |       tMax = tMin + 1; | 
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| 60 |     } | 
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| 61 |  | 
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| 62 |     this->ParametricRange[0] = tMin; | 
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| 63 |     this->ParametricRange[1] = tMax; | 
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| 64 |  | 
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| 65 |     this->Modified(); | 
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| 66 |   } | 
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| 67 | } | 
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| 68 |  | 
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| 69 | //---------------------------------------------------------------------------- | 
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| 70 | void Spline::GetParametricRange(double tRange[2]) const | 
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| 71 | { | 
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| 72 |   if ( this->ParametricRange[0] != this->ParametricRange[1] ) | 
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| 73 |   { | 
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| 74 |     tRange[0] = this->ParametricRange[0]; | 
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| 75 |     tRange[1] = this->ParametricRange[1]; | 
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| 76 |   } | 
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| 77 |   else | 
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| 78 |   { | 
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| 79 |     tRange[0] = this->PiecewiseFunction->GetRange()[0]; | 
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| 80 |     tRange[1] = this->PiecewiseFunction->GetRange()[1]; | 
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| 81 |   } | 
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| 82 | } | 
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| 83 |  | 
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| 84 | //---------------------------------------------------------------------------- | 
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| 85 | double Spline::ComputeLeftDerivative() | 
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| 86 | { | 
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| 87 |   double *dptr = this->PiecewiseFunction->GetDataPointer(); | 
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| 88 |   int size = this->PiecewiseFunction->GetSize(); | 
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| 89 |   if ( dptr == NULL || size < 2 ) | 
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| 90 |   { | 
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| 91 |     return 0.0; | 
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| 92 |   } | 
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| 93 |   else | 
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| 94 |   { | 
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| 95 |     return (dptr[2]-dptr[0]); | 
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| 96 |   } | 
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| 97 | } | 
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| 98 |  | 
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| 99 | //---------------------------------------------------------------------------- | 
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| 100 | double Spline::ComputeRightDerivative() | 
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| 101 | { | 
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| 102 |   double *dptr = this->PiecewiseFunction->GetDataPointer(); | 
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| 103 |   int size = this->PiecewiseFunction->GetSize(); | 
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| 104 |   if ( dptr == NULL || size < 2 ) | 
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| 105 |   { | 
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| 106 |     return 0.0; | 
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| 107 |   } | 
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| 108 |   else | 
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| 109 |   { | 
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| 110 |     return (dptr[(size-1)*2]-dptr[(size-2)*2]); | 
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| 111 |   } | 
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| 112 | } | 
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| 113 |  | 
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| 114 | //---------------------------------------------------------------------------- | 
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| 115 | int Spline::GetNumberOfPoints() | 
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| 116 | { | 
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| 117 |   return this->PiecewiseFunction->GetSize(); | 
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| 118 | } | 
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| 119 |  | 
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| 120 |  | 
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| 121 | //---------------------------------------------------------------------------- | 
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| 122 | // Add a point to the Piecewise Functions containing the data | 
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| 123 | void Spline::AddPoint (double t, double x) | 
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| 124 | { | 
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| 125 |   if ( this->ParametricRange[0] != this->ParametricRange[1] ) | 
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| 126 |   { | 
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| 127 |     t = (t < this->ParametricRange[0] ? this->ParametricRange[0] : | 
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| 128 |          (t > this->ParametricRange[1] ? this->ParametricRange[1] : t)); | 
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| 129 |   } | 
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| 130 |   this->PiecewiseFunction->AddPoint (t, x); | 
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| 131 | } | 
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| 132 |  | 
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| 133 | //---------------------------------------------------------------------------- | 
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| 134 | // Remove a point from the Piecewise Functions. | 
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| 135 | void Spline::RemovePoint (double t) | 
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| 136 | { | 
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| 137 |   if ( this->ParametricRange[0] != this->ParametricRange[1] ) | 
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| 138 |   { | 
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| 139 |     t = (t < this->ParametricRange[0] ? this->ParametricRange[0] : | 
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| 140 |          (t > this->ParametricRange[1] ? this->ParametricRange[1] : t)); | 
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| 141 |   } | 
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| 142 |   this->PiecewiseFunction->RemovePoint (t); | 
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| 143 | } | 
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| 144 |  | 
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| 145 | //---------------------------------------------------------------------------- | 
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| 146 | // Remove all points from the Piecewise Functions. | 
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| 147 | void Spline::RemoveAllPoints () | 
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| 148 | { | 
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| 149 |   this->PiecewiseFunction->RemoveAllPoints (); | 
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| 150 | } | 
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| 151 |  | 
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| 152 |  | 
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| 153 |  | 
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| 154 |  | 
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| 155 |  | 
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| 156 | //---------------------------------------------------------------------------- | 
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| 157 | int Spline::FindIndex(int size, double t) | 
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| 158 | { | 
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| 159 |   int index=0; | 
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| 160 |   if ( size > 2 ) //bisection method for speed | 
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| 161 |   { | 
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| 162 |     int rightIdx = size - 1; | 
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| 163 |     int centerIdx = rightIdx - size/2; | 
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| 164 |     for (int converged=0; !converged; ) | 
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| 165 |     { | 
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| 166 |       if ( this->Intervals[index] <= t && t <= this->Intervals[centerIdx] ) | 
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| 167 |       { | 
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| 168 |         rightIdx = centerIdx; | 
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| 169 |       } | 
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| 170 |       else //if ( this->Intervals[centerIdx] < t && t <= this->Intervals[rightIdx] ) | 
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| 171 |       { | 
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| 172 |         index = centerIdx; | 
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| 173 |       } | 
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| 174 |       if ( (index + 1) == rightIdx ) | 
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| 175 |       { | 
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| 176 |         converged = 1; | 
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| 177 |       } | 
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| 178 |       else | 
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| 179 |       { | 
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| 180 |         centerIdx = index + (rightIdx-index)/2; | 
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| 181 |       } | 
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| 182 |     }//while not converged | 
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| 183 |   } | 
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| 184 |   return index; | 
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| 185 | } | 
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| 186 |  | 
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