[89] | 1 | /* -*- mode: C++ ; c-file-style: "stroustrup" -*- *****************************
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| 2 | * Qwt Widget Library
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| 3 | * Copyright (C) 1997 Josef Wilgen
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| 4 | * Copyright (C) 2002 Uwe Rathmann
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| 5 | *
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| 6 | * This library is free software; you can redistribute it and/or
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| 7 | * modify it under the terms of the Qwt License, Version 1.0
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| 8 | *****************************************************************************/
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| 9 |
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| 10 | #ifndef QWT_MATH_H
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| 11 | #define QWT_MATH_H
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| 12 |
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| 13 | #include <math.h>
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| 14 | #include <qpoint.h>
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| 15 | #include "qwt_global.h"
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| 16 | #include "qwt_double_rect.h"
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| 17 |
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| 18 | #if QT_VERSION < 0x040000
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| 19 |
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| 20 | #define qwtMax QMAX
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| 21 | #define qwtMin QMIN
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| 22 | #define qwtAbs QABS
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| 23 |
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| 24 | #else // QT_VERSION >= 0x040000
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| 25 |
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| 26 | #define qwtMax qMax
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| 27 | #define qwtMin qMin
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| 28 | #define qwtAbs qAbs
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| 29 |
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| 30 | #endif
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| 31 |
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| 32 | #ifndef LOG10_2
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| 33 | #define LOG10_2 0.30102999566398119802 /* log10(2) */
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| 34 | #endif
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| 35 |
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| 36 | #ifndef LOG10_3
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| 37 | #define LOG10_3 0.47712125471966243540 /* log10(3) */
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| 38 | #endif
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| 39 |
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| 40 | #ifndef LOG10_5
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| 41 | #define LOG10_5 0.69897000433601885749 /* log10(5) */
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| 42 | #endif
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| 43 |
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| 44 | #ifndef M_2PI
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| 45 | #define M_2PI 6.28318530717958623200 /* 2 pi */
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| 46 | #endif
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| 47 |
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| 48 | #ifndef LOG_MIN
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| 49 | //! Mininum value for logarithmic scales
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| 50 | #define LOG_MIN 1.0e-100
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| 51 | #endif
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| 52 |
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| 53 | #ifndef LOG_MAX
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| 54 | //! Maximum value for logarithmic scales
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| 55 | #define LOG_MAX 1.0e100
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| 56 | #endif
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| 57 |
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| 58 | #ifndef M_E
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| 59 | #define M_E 2.7182818284590452354 /* e */
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| 60 | #endif
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| 61 |
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| 62 | #ifndef M_LOG2E
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| 63 | #define M_LOG2E 1.4426950408889634074 /* log_2 e */
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| 64 | #endif
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| 65 |
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| 66 | #ifndef M_LOG10E
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| 67 | #define M_LOG10E 0.43429448190325182765 /* log_10 e */
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| 68 | #endif
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| 69 |
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| 70 | #ifndef M_LN2
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| 71 | #define M_LN2 0.69314718055994530942 /* log_e 2 */
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| 72 | #endif
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| 73 |
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| 74 | #ifndef M_LN10
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| 75 | #define M_LN10 2.30258509299404568402 /* log_e 10 */
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| 76 | #endif
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| 77 |
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| 78 | #ifndef M_PI
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| 79 | #define M_PI 3.14159265358979323846 /* pi */
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| 80 | #endif
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| 81 |
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| 82 | #ifndef M_PI_2
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| 83 | #define M_PI_2 1.57079632679489661923 /* pi/2 */
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| 84 | #endif
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| 85 |
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| 86 | #ifndef M_PI_4
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| 87 | #define M_PI_4 0.78539816339744830962 /* pi/4 */
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| 88 | #endif
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| 89 |
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| 90 | #ifndef M_1_PI
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| 91 | #define M_1_PI 0.31830988618379067154 /* 1/pi */
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| 92 | #endif
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| 93 |
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| 94 | #ifndef M_2_PI
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| 95 | #define M_2_PI 0.63661977236758134308 /* 2/pi */
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| 96 | #endif
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| 97 |
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| 98 | #ifndef M_2_SQRTPI
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| 99 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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| 100 | #endif
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| 101 |
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| 102 | #ifndef M_SQRT2
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| 103 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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| 104 | #endif
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| 105 |
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| 106 | #ifndef M_SQRT1_2
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| 107 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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| 108 | #endif
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| 109 |
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| 110 | QWT_EXPORT double qwtGetMin(const double *array, int size);
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| 111 | QWT_EXPORT double qwtGetMax(const double *array, int size);
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| 112 |
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| 113 |
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| 114 | //! Return the sign
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| 115 | inline int qwtSign(double x)
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| 116 | {
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| 117 | if (x > 0.0)
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| 118 | return 1;
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| 119 | else if (x < 0.0)
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| 120 | return (-1);
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| 121 | else
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| 122 | return 0;
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| 123 | }
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| 124 |
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| 125 | //! Return the square of a number
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| 126 | inline double qwtSqr(const double x)
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| 127 | {
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| 128 | return x*x;
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| 129 | }
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| 130 |
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| 131 | /*!
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| 132 | \brief Limit a value to fit into a specified interval
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| 133 | \param x Input value
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| 134 | \param x1 First interval boundary
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| 135 | \param x2 Second interval boundary
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| 136 | */
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| 137 | template <class T>
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| 138 | T qwtLim(const T& x, const T& x1, const T& x2)
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| 139 | {
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| 140 | T rv;
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| 141 | T xmin, xmax;
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| 142 |
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| 143 | xmin = qwtMin(x1, x2);
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| 144 | xmax = qwtMax(x1, x2);
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| 145 |
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| 146 | if ( x < xmin )
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| 147 | rv = xmin;
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| 148 | else if ( x > xmax )
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| 149 | rv = xmax;
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| 150 | else
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| 151 | rv = x;
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| 152 |
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| 153 | return rv;
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| 154 | }
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| 155 |
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| 156 | inline QPoint qwtPolar2Pos(const QPoint &pole,
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| 157 | double radius, double angle)
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| 158 | {
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| 159 | const double x = pole.x() + radius * ::cos(angle);
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| 160 | const double y = pole.y() - radius * ::sin(angle);
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| 161 |
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| 162 | return QPoint(qRound(x), qRound(y));
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| 163 | }
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| 164 |
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| 165 | inline QPoint qwtDegree2Pos(const QPoint &pole,
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| 166 | double radius, double angle)
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| 167 | {
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| 168 | return qwtPolar2Pos(pole, radius, angle / 180.0 * M_PI);
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| 169 | }
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| 170 |
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| 171 | inline QwtDoublePoint qwtPolar2Pos(const QwtDoublePoint &pole,
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| 172 | double radius, double angle)
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| 173 | {
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| 174 | const double x = pole.x() + radius * ::cos(angle);
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| 175 | const double y = pole.y() - radius * ::sin(angle);
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| 176 |
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| 177 | return QPoint(qRound(x), qRound(y));
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| 178 | }
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| 179 |
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| 180 | inline QwtDoublePoint qwtDegree2Pos(const QwtDoublePoint &pole,
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| 181 | double radius, double angle)
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| 182 | {
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| 183 | return qwtPolar2Pos(pole, radius, angle / 180.0 * M_PI);
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| 184 | }
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| 185 |
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| 186 | //! Rounding of doubles, like qRound for integers
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| 187 | inline double qwtRound(double value)
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| 188 | {
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| 189 | return ::floor(value + 0.5); // MSVC has no ::round().
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| 190 | }
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| 191 |
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| 192 | #endif
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