Issue 2001: added vignette filter tool
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@@ -90,6 +90,30 @@ inline double tightestroot (double L, double a, double b, double r1, double r2,
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/*******************************************************************************
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* FindCubicRoots
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* --------------
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*
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* Copyright (C) 1997-2001 Ken Turkowski. <turk_at_computer.org>
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sublicense, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice shall be included
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* in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
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* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
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* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*
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* ------------------------------------------------------------------------
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*
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* Solve:
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* coeff[3] * x^3 + coeff[2] * x^2 + coeff[1] * x + coeff[0] = 0
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@@ -97,6 +121,7 @@ inline double tightestroot (double L, double a, double b, double r1, double r2,
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* returns:
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* 3 - 3 real roots
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* 1 - 1 real root (2 complex conjugate)
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*
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*******************************************************************************/
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/*long
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@@ -111,6 +136,7 @@ FindCubicRoots(const FLOAT coeff[4], FLOAT x[3])
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double_t Qcubed = Q * Q * Q;
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double_t d = Qcubed - R * R;
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// Three real roots
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if (d >= 0) {
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double_t theta = acos(R / sqrt(Qcubed));
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double_t sqrtQ = sqrt(Q);
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@@ -120,6 +146,7 @@ FindCubicRoots(const FLOAT coeff[4], FLOAT x[3])
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return (3);
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}
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// One real root
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else {
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double_t e = pow(sqrt(-d) + fabs(R), 1. / 3.);
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if (R > 0)
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