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oak-editor/global/math.cpp
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/***
Olive - Non-Linear Video Editor
Copyright (C) 2019 Olive Team
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
***/
#include "math.h"
#include <QtMath>
#include <QVector>
#include "debug.h"
int lerp(int a, int b, double t) {
return qRound(((1.0 - t) * a) + (t * b));
}
float float_lerp(float a, float b, float t) {
return ((1.0F - t) * a) + (t * b);
}
double double_lerp(double a, double b, double t) {
return ((1.0 - t) * a) + (t * b);
}
double quad_from_t(double a, double b, double c, double t) {
return qPow(1.0 - t, 2)*a + 2*(1.0 - t)*t*b + qPow(t, 2)*c;
}
double quad_t_from_x(double x, double a, double b, double c) {
return (a - b + qSqrt(a*x + c*x - 2*b*x + qPow(b, 2) - a*c))/(a - 2*b + c);
// alt: return (a - b - qSqrt(a*x + c*x - 2*b*x + qPow(b, 2) - a*c))/(a - 2*b + c);
}
double cubic_from_t(double a, double b, double c, double d, double t) {
return qPow(1.0 - t, 3)*a + 3*qPow(1.0 - t, 2)*t*b + 3*(1.0 - t)*qPow(t, 2)*c + qPow(t, 3)*d;
}
double cubic_t_from_x(double x_target, double a, double b, double c, double d) {
double tolerance = 0.0001;
double lower = 0.0;
double upper = 1.0;
double percent = 0.5;
double x = cubic_from_t(a, b, c, d, percent);
while (qAbs(x_target - x) > tolerance) {
if (x_target > x) {
lower = percent;
} else {
upper = percent;
}
percent = (upper + lower) / 2.0;
x = cubic_from_t(a, b, c, d, percent);
}
return percent;
}
double amplitude_to_db(double amplitude) {
return (20.0*(qLn(amplitude)/qLn(10.0)));
}
double db_to_amplitude(double db) {
return qPow(M_E, (db*qLn(10.0))/20.0);
}
QRect fit_size_into_rect(const QRect &r, int width, int height)
{
// Get aspect ratio of object we're fitting
double inner_ar = double(width) / double(height);
// Get aspect ratio of rectangle
double rect_ar = double(r.width()) / double(r.height());
if (rect_ar > inner_ar) {
// The rect is wider than the object, so we'll be limiting by height and scaling by width
int new_width = qRound(r.height() * inner_ar);
return QRect(r.x() + (r.width() / 2 - new_width / 2), r.y(), new_width, r.height());
} else {
// The rect is taller than the object, so we'll be limiting by width and scaling by height
int new_height = qRound(r.width() / inner_ar);
return QRect(r.x(), r.y() + (r.height() / 2 - new_height / 2), r.width(), new_height);
}
}
template<typename T>
const T &clamp(const T &val, T &min, T &max)
{
return qMax(qMin(max, val), min);
}