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/*
TikZiT - a GUI diagram editor for TikZ
Copyright (C) 2018 Aleks Kissinger
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 <https://www.gnu.org/licenses/>.
*/
#include "util.h"
qreal bezierInterpolate(qreal dist, qreal c0, qreal c1, qreal c2, qreal c3) {
qreal distp = 1 - dist;
return (distp*distp*distp) * c0 +
3 * (distp*distp) * dist * c1 +
3 * (dist*dist) * distp * c2 +
(dist*dist*dist) * c3;
}
QPointF bezierInterpolateFull (qreal dist, QPointF c0, QPointF c1, QPointF c2, QPointF c3) {
return QPointF(bezierInterpolate (dist, c0.x(), c1.x(), c2.x(), c3.x()),
bezierInterpolate (dist, c0.y(), c1.y(), c2.y(), c3.y()));
}
qreal roundToNearest(qreal stepSize, qreal val) {
if (stepSize==0.0) return val;
else return round(val/stepSize)*stepSize;
}
qreal radiansToDegrees (qreal radians) {
return (radians * 180.0) / M_PI;
}
qreal degreesToRadians(qreal degrees) {
return (degrees * M_PI) / 180.0;
}
int normaliseAngleDeg (int degrees) {
while (degrees > 180) {
degrees -= 360;
}
while (degrees <= -180) {
degrees += 360;
}
return degrees;
}
qreal normaliseAngleRad (qreal rads) {
while (rads > M_PI) {
rads -= 2 * M_PI;
}
while (rads <= -M_PI) {
rads += 2 * M_PI;
}
return rads;
}
bool almostZero(qreal f) {
return (f >= -0.000001 && f <= 0.000001);
}
bool almostEqual(qreal f1, qreal f2) {
return almostZero(f1 - f2);
}
// convert qreal to string, squashing very small qreals to zero
QString floatToString(qreal f) {
if (almostZero(f)) return "0";
else return QString::number(f);
}
static QList<QString> texConstantNames;
static QList<QString> texConstantCodes;
static QList<QString> texModifierNames;
void initTexConstants() {
texConstantNames
<< "\\alpha"
<< "\\beta"
<< "\\gamma"
<< "\\delta"
<< "\\epsilon"
<< "\\zeta"
<< "\\eta"
<< "\\theta"
<< "\\iota"
<< "\\kappa"
<< "\\lambda"
<< "\\mu"
<< "\\nu"
<< "\\xi"
<< "\\pi"
<< "\\rho"
<< "\\sigma"
<< "\\tau"
<< "\\upsilon"
<< "\\phi"
<< "\\chi"
<< "\\psi"
<< "\\omega"
<< "\\Gamma"
<< "\\Delta"
<< "\\Theta"
<< "\\Lambda"
<< "\\Xi"
<< "\\Pi"
<< "\\Sigma"
<< "\\Upsilon"
<< "\\Phi"
<< "\\Psi"
<< "\\Omega"
<< "\\pm"
<< "\\to"
<< "\\Rightarrow"
<< "\\Leftrightarrow"
<< "\\forall"
<< "\\partial"
<< "\\exists"
<< "\\emptyset"
<< "\\nabla"
<< "\\in"
<< "\\notin"
<< "\\prod"
<< "\\sum"
<< "\\surd"
<< "\\infty"
<< "\\wedge"
<< "\\vee"
<< "\\cap"
<< "\\cup"
<< "\\int"
<< "\\approx"
<< "\\neq"
<< "\\equiv"
<< "\\leq"
<< "\\geq"
<< "\\subset"
<< "\\supset"
<< "\\cdot"
<< "\\ldots";
texConstantCodes <<
"\u03b1" << "\u03b2" << "\u03b3" << "\u03b4" << "\u03b5" << "\u03b6" << "\u03b7" <<
"\u03b8" << "\u03b9" << "\u03ba" << "\u03bb" << "\u03bc" << "\u03bd" << "\u03be" <<
"\u03c0" << "\u03c1" << "\u03c3" << "\u03c4" << "\u03c5" << "\u03c6" << "\u03c7" <<
"\u03c8" << "\u03c9" << "\u0393" << "\u0394" << "\u0398" << "\u039b" << "\u039e" <<
"\u03a0" << "\u03a3" << "\u03a5" << "\u03a6" << "\u03a8" << "\u03a9" <<
"\u00b1" << "\u2192" << "\u21d2" << "\u21d4" << "\u2200" << "\u2202" << "\u2203" <<
"\u2205" << "\u2207" << "\u2208" << "\u2209" << "\u220f" << "\u2211" << "\u221a" <<
"\u221e" << "\u2227" << "\u2228" << "\u2229" << "\u222a" << "\u222b" << "\u2248" <<
"\u2260" << "\u2261" << "\u2264" << "\u2265" << "\u2282" << "\u2283" << "\u22c5" <<
"\u2026";
texModifierNames
<< "\\tiny"
<< "\\scriptsize"
<< "\\footnotesize"
<< "\\small"
<< "\\normalsize"
<< "\\large"
<< "\\Large"
<< "\\LARGE"
<< "\\huge"
<< "\\Huge";
}
QString replaceTexConstants(QString s) {
QString s1 = s;
for (int i = 0; i < texConstantNames.length(); ++i) {
s1 = s1.replace(texConstantNames[i], texConstantCodes[i]);
}
for (int i = 0; i < texModifierNames.length(); ++i) {
s1 = s1.replace(texModifierNames[i], "");
}
if (s1.startsWith('$') && s1.endsWith('$')) {
s1 = s1.mid(1, s1.length()-2);
}
return s1;
}
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