qnumeric.cpp

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1/****************************************************************************-
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38****************************************************************************/-
39-
40#include "qnumeric.h"-
41#include "qnumeric_p.h"-
42#include <string.h>-
43-
44QT_BEGIN_NAMESPACE-
45-
46/*!-
47 Returns \c true if the double \a {d} is equivalent to infinity.-
48 \relates <QtGlobal>-
49*/-
50Q_CORE_EXPORT bool qIsInf(double d) { return qt_is_inf(d); }
executed 796 times by 68 tests: return qt_is_inf(d);
Executed by:
  • tst_Compiler
  • tst_Gestures
  • tst_QAbstractItemView
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  • tst_QAccessibility
  • tst_QAction
  • tst_QApplication
  • tst_QBoxLayout
  • tst_QCalendarWidget
  • tst_QCheckBox
  • tst_QComboBox
  • tst_QCommandLinkButton
  • tst_QDesktopWidget
  • tst_QDialog
  • tst_QFileDialog2
  • tst_QFileSystemModel
  • tst_QFiledialog
  • tst_QFocusEvent
  • tst_QFontDialog
  • tst_QGestureRecognizer
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  • tst_QGraphicsScene
  • tst_QGraphicsSceneIndex
  • tst_QGraphicsView
  • ...
796
51-
52/*!-
53 Returns \c true if the double \a {d} is not a number (NaN).-
54 \relates <QtGlobal>-
55*/-
56Q_CORE_EXPORT bool qIsNaN(double d) { return qt_is_nan(d); }
executed 749317 times by 135 tests: return qt_is_nan(d);
Executed by:
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  • tst_QBrush
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  • tst_QCalendarWidget
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  • tst_QColorDialog
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  • ...
749317
57-
58/*!-
59 Returns \c true if the double \a {d} is a finite number.-
60 \relates <QtGlobal>-
61*/-
62Q_CORE_EXPORT bool qIsFinite(double d) { return qt_is_finite(d); }
executed 4223 times by 29 tests: return qt_is_finite(d);
Executed by:
  • tst_QAccessibility
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  • tst_QDoubleValidator
  • tst_QEasingCurve
  • tst_QGraphicsProxyWidget
  • tst_QGuiVariant
  • tst_QInputDialog
  • tst_QItemDelegate
  • tst_QMainWindow
  • tst_QMetaType
  • tst_QNumeric
  • tst_QObject
  • tst_QPrinter
  • tst_QSpinBox
  • tst_QSqlDatabase
  • tst_QString
  • tst_QStringRef
  • tst_QStyleSheetStyle
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4223
63-
64/*!-
65 Returns \c true if the float \a {f} is equivalent to infinity.-
66 \relates <QtGlobal>-
67*/-
68Q_CORE_EXPORT bool qIsInf(float f) { return qt_is_inf(f); }
executed 11 times by 2 tests: return qt_is_inf(f);
Executed by:
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11
69-
70/*!-
71 Returns \c true if the float \a {f} is not a number (NaN).-
72 \relates <QtGlobal>-
73*/-
74Q_CORE_EXPORT bool qIsNaN(float f) { return qt_is_nan(f); }
executed 18 times by 2 tests: return qt_is_nan(f);
Executed by:
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18
75-
76/*!-
77 Returns \c true if the float \a {f} is a finite number.-
78 \relates <QtGlobal>-
79*/-
80Q_CORE_EXPORT bool qIsFinite(float f) { return qt_is_finite(f); }
executed 44 times by 1 test: return qt_is_finite(f);
Executed by:
  • tst_QNumeric
44
81-
82/*!-
83 Returns the bit pattern of a signalling NaN as a double.-
84 \relates <QtGlobal>-
85*/-
86Q_CORE_EXPORT double qSNaN() { return qt_snan(); }
executed 21 times by 2 tests: return qt_snan();
Executed by:
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21
87-
88/*!-
89 Returns the bit pattern of a quiet NaN as a double.-
90 \relates <QtGlobal>-
91*/-
92Q_CORE_EXPORT double qQNaN() { return qt_qnan(); }
executed 64 times by 6 tests: return qt_qnan();
Executed by:
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64
93-
94/*!-
95 Returns the bit pattern for an infinite number as a double.-
96 \relates <QtGlobal>-
97*/-
98Q_CORE_EXPORT double qInf() { return qt_inf(); }
executed 168 times by 9 tests: return qt_inf();
Executed by:
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168
99-
100-
101-
102/*!-
103 \internal-
104 */-
105static inline quint32 f2i(float f)-
106{-
107 quint32 i;-
108 memcpy(&i, &f, sizeof(f));-
109 return i;
executed 23 times by 1 test: return i;
Executed by:
  • tst_QNumeric
23
110}-
111-
112/*!-
113 Returns the number of representable floating-point numbers between \a a and \a b.-
114-
115 This function provides an alternative way of doing approximated comparisons of floating-point-
116 numbers similar to qFuzzyCompare(). However, it returns the distance between two numbers, which-
117 gives the caller a possibility to choose the accepted error. Errors are relative, so for-
118 instance the distance between 1.0E-5 and 1.00001E-5 will give 110, while the distance between-
119 1.0E36 and 1.00001E36 will give 127.-
120-
121 This function is useful if a floating point comparison requires a certain precision.-
122 Therefore, if \a a and \a b are equal it will return 0. The maximum value it will return for 32-bit-
123 floating point numbers is 4,278,190,078. This is the distance between \c{-FLT_MAX} and-
124 \c{+FLT_MAX}.-
125-
126 The function does not give meaningful results if any of the arguments are \c Infinite or \c NaN.-
127 You can check for this by calling qIsFinite().-
128-
129 The return value can be considered as the "error", so if you for instance want to compare-
130 two 32-bit floating point numbers and all you need is an approximated 24-bit precision, you can-
131 use this function like this:-
132-
133 \code-
134 if (qFloatDistance(a, b) < (1 << 7)) { // The last 7 bits are not-
135 // significant-
136 // precise enough-
137 }-
138 \endcode-
139-
140 \sa qFuzzyCompare()-
141 \since 5.2-
142 \relates <QtGlobal>-
143*/-
144Q_CORE_EXPORT quint32 qFloatDistance(float a, float b)-
145{-
146 static const quint32 smallestPositiveFloatAsBits = 0x00000001; // denormalized, (SMALLEST), (1.4E-45)-
147 /* Assumes:-
148 * IEE754 format.-
149 * Integers and floats have the same endian-
150 */-
151 Q_STATIC_ASSERT(sizeof(quint32) == sizeof(float));-
152 Q_ASSERT(qIsFinite(a) && qIsFinite(b));-
153 if (a == b)
a == bDescription
TRUEevaluated 1 time by 1 test
Evaluated by:
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FALSEevaluated 21 times by 1 test
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1-21
154 return 0;
executed 1 time by 1 test: return 0;
Executed by:
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1
155 if ((a < 0) != (b < 0)) {
(a < 0) != (b < 0)Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEevaluated 17 times by 1 test
Evaluated by:
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4-17
156 // if they have different signs-
157 if (a < 0)
a < 0Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEnever evaluated
0-4
158 a = -a;
executed 4 times by 1 test: a = -a;
Executed by:
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4
159 else /*if (b < 0)*/-
160 b = -b;
never executed: b = -b;
0
161 return qFloatDistance(0.0F, a) + qFloatDistance(0.0F, b);
executed 4 times by 1 test: return qFloatDistance(0.0F, a) + qFloatDistance(0.0F, b);
Executed by:
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4
162 }-
163 if (a < 0) {
a < 0Description
TRUEevaluated 2 times by 1 test
Evaluated by:
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FALSEevaluated 15 times by 1 test
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2-15
164 a = -a;-
165 b = -b;-
166 }
executed 2 times by 1 test: end of block
Executed by:
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2
167 // at this point a and b should not be negative-
168-
169 // 0 is special-
170 if (!a)
!aDescription
TRUEevaluated 11 times by 1 test
Evaluated by:
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FALSEevaluated 6 times by 1 test
Evaluated by:
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6-11
171 return f2i(b) - smallestPositiveFloatAsBits + 1;
executed 11 times by 1 test: return f2i(b) - smallestPositiveFloatAsBits + 1;
Executed by:
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11
172 if (!b)
!bDescription
TRUEnever evaluated
FALSEevaluated 6 times by 1 test
Evaluated by:
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0-6
173 return f2i(a) - smallestPositiveFloatAsBits + 1;
never executed: return f2i(a) - smallestPositiveFloatAsBits + 1;
0
174-
175 // finally do the common integer subtraction-
176 return a > b ? f2i(a) - f2i(b) : f2i(b) - f2i(a);
executed 6 times by 1 test: return a > b ? f2i(a) - f2i(b) : f2i(b) - f2i(a);
Executed by:
  • tst_QNumeric
6
177}-
178-
179-
180/*!-
181 \internal-
182 */-
183static inline quint64 d2i(double d)-
184{-
185 quint64 i;-
186 memcpy(&i, &d, sizeof(d));-
187 return i;
executed 23 times by 1 test: return i;
Executed by:
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23
188}-
189-
190/*!-
191 Returns the number of representable floating-point numbers between \a a and \a b.-
192-
193 This function serves the same purpose as \c{qFloatDistance(float, float)}, but-
194 returns the distance between two \c double numbers. Since the range is larger-
195 than for two \c float numbers (\c{[-DBL_MAX,DBL_MAX]}), the return type is quint64.-
196-
197-
198 \sa qFuzzyCompare()-
199 \since 5.2-
200 \relates <QtGlobal>-
201*/-
202Q_CORE_EXPORT quint64 qFloatDistance(double a, double b)-
203{-
204 static const quint64 smallestPositiveFloatAsBits = 0x1; // denormalized, (SMALLEST)-
205 /* Assumes:-
206 * IEE754 format double precision-
207 * Integers and floats have the same endian-
208 */-
209 Q_STATIC_ASSERT(sizeof(quint64) == sizeof(double));-
210 Q_ASSERT(qIsFinite(a) && qIsFinite(b));-
211 if (a == b)
a == bDescription
TRUEevaluated 1 time by 1 test
Evaluated by:
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FALSEevaluated 21 times by 1 test
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1-21
212 return 0;
executed 1 time by 1 test: return 0;
Executed by:
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1
213 if ((a < 0) != (b < 0)) {
(a < 0) != (b < 0)Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEevaluated 17 times by 1 test
Evaluated by:
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4-17
214 // if they have different signs-
215 if (a < 0)
a < 0Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEnever evaluated
0-4
216 a = -a;
executed 4 times by 1 test: a = -a;
Executed by:
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4
217 else /*if (b < 0)*/-
218 b = -b;
never executed: b = -b;
0
219 return qFloatDistance(0.0, a) + qFloatDistance(0.0, b);
executed 4 times by 1 test: return qFloatDistance(0.0, a) + qFloatDistance(0.0, b);
Executed by:
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4
220 }-
221 if (a < 0) {
a < 0Description
TRUEevaluated 2 times by 1 test
Evaluated by:
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FALSEevaluated 15 times by 1 test
Evaluated by:
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2-15
222 a = -a;-
223 b = -b;-
224 }
executed 2 times by 1 test: end of block
Executed by:
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2
225 // at this point a and b should not be negative-
226-
227 // 0 is special-
228 if (!a)
!aDescription
TRUEevaluated 11 times by 1 test
Evaluated by:
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FALSEevaluated 6 times by 1 test
Evaluated by:
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6-11
229 return d2i(b) - smallestPositiveFloatAsBits + 1;
executed 11 times by 1 test: return d2i(b) - smallestPositiveFloatAsBits + 1;
Executed by:
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11
230 if (!b)
!bDescription
TRUEnever evaluated
FALSEevaluated 6 times by 1 test
Evaluated by:
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0-6
231 return d2i(a) - smallestPositiveFloatAsBits + 1;
never executed: return d2i(a) - smallestPositiveFloatAsBits + 1;
0
232-
233 // finally do the common integer subtraction-
234 return a > b ? d2i(a) - d2i(b) : d2i(b) - d2i(a);
executed 6 times by 1 test: return a > b ? d2i(a) - d2i(b) : d2i(b) - d2i(a);
Executed by:
  • tst_QNumeric
6
235}-
236-
237-
238QT_END_NAMESPACE-
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