qnumeric.cpp

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32****************************************************************************/-
33-
34#include "qnumeric.h"-
35#include "qnumeric_p.h"-
36#include <string.h>-
37-
38QT_BEGIN_NAMESPACE-
39-
40/*!-
41 Returns \c true if the double \a {d} is equivalent to infinity.-
42 \relates <QtGlobal>-
43*/-
44Q_CORE_EXPORT bool qIsInf(double d) { return qt_is_inf(d); }
executed 785 times by 66 tests: return qt_is_inf(d);
Executed by:
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  • tst_QFileSystemModel
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  • ...
785
45-
46/*!-
47 Returns \c true if the double \a {d} is not a number (NaN).-
48 \relates <QtGlobal>-
49*/-
50Q_CORE_EXPORT bool qIsNaN(double d) { return qt_is_nan(d); }
executed 946549 times by 129 tests: return qt_is_nan(d);
Executed by:
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  • ...
946549
51-
52/*!-
53 Returns \c true if the double \a {d} is a finite number.-
54 \relates <QtGlobal>-
55*/-
56Q_CORE_EXPORT bool qIsFinite(double d) { return qt_is_finite(d); }
executed 44 times by 1 test: return qt_is_finite(d);
Executed by:
  • tst_QNumeric
44
57-
58/*!-
59 Returns \c true if the float \a {f} is equivalent to infinity.-
60 \relates <QtGlobal>-
61*/-
62Q_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
63-
64/*!-
65 Returns \c true if the float \a {f} is not a number (NaN).-
66 \relates <QtGlobal>-
67*/-
68Q_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
69-
70/*!-
71 Returns \c true if the float \a {f} is a finite number.-
72 \relates <QtGlobal>-
73*/-
74Q_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
75-
76/*!-
77 Returns the bit pattern of a signalling NaN as a double.-
78 \relates <QtGlobal>-
79*/-
80Q_CORE_EXPORT double qSNaN() { return qt_snan(); }
executed 21 times by 2 tests: return qt_snan();
Executed by:
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21
81-
82/*!-
83 Returns the bit pattern of a quiet NaN as a double.-
84 \relates <QtGlobal>-
85*/-
86Q_CORE_EXPORT double qQNaN() { return qt_qnan(); }
executed 64 times by 6 tests: return qt_qnan();
Executed by:
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64
87-
88/*!-
89 Returns the bit pattern for an infinite number as a double.-
90 \relates <QtGlobal>-
91*/-
92Q_CORE_EXPORT double qInf() { return qt_inf(); }
executed 158 times by 9 tests: return qt_inf();
Executed by:
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158
93-
94-
95-
96/*!-
97 \internal-
98 */-
99static inline quint32 f2i(float f)-
100{-
101 quint32 i;-
102 memcpy(&i, &f, sizeof(f));-
103 return i;
executed 23 times by 1 test: return i;
Executed by:
  • tst_QNumeric
23
104}-
105-
106/*!-
107 Returns the number of representable floating-point numbers between \a a and \a b.-
108-
109 This function provides an alternative way of doing approximated comparisons of floating-point-
110 numbers similar to qFuzzyCompare(). However, it returns the distance between two numbers, which-
111 gives the caller a possibility to choose the accepted error. Errors are relative, so for-
112 instance the distance between 1.0E-5 and 1.00001E-5 will give 110, while the distance between-
113 1.0E36 and 1.00001E36 will give 127.-
114-
115 This function is useful if a floating point comparison requires a certain precision.-
116 Therefore, if \a a and \a b are equal it will return 0. The maximum value it will return for 32-bit-
117 floating point numbers is 4,278,190,078. This is the distance between \c{-FLT_MAX} and-
118 \c{+FLT_MAX}.-
119-
120 The function does not give meaningful results if any of the arguments are \c Infinite or \c NaN.-
121 You can check for this by calling qIsFinite().-
122-
123 The return value can be considered as the "error", so if you for instance want to compare-
124 two 32-bit floating point numbers and all you need is an approximated 24-bit precision, you can-
125 use this function like this:-
126-
127 \code-
128 if (qFloatDistance(a, b) < (1 << 7)) { // The last 7 bits are not-
129 // significant-
130 // precise enough-
131 }-
132 \endcode-
133-
134 \sa qFuzzyCompare()-
135 \since 5.2-
136 \relates <QtGlobal>-
137*/-
138Q_CORE_EXPORT quint32 qFloatDistance(float a, float b)-
139{-
140 static const quint32 smallestPositiveFloatAsBits = 0x00000001; // denormalized, (SMALLEST), (1.4E-45)-
141 /* Assumes:-
142 * IEE754 format.-
143 * Integers and floats have the same endian-
144 */-
145 Q_STATIC_ASSERT(sizeof(quint32) == sizeof(float));-
146 Q_ASSERT(qIsFinite(a) && qIsFinite(b));-
147 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
148 return 0;
executed 1 time by 1 test: return 0;
Executed by:
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1
149 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
150 // if they have different signs-
151 if (a < 0)
a < 0Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEnever evaluated
0-4
152 a = -a;
executed 4 times by 1 test: a = -a;
Executed by:
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4
153 else /*if (b < 0)*/-
154 b = -b;
never executed: b = -b;
0
155 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
156 }-
157 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
158 a = -a;-
159 b = -b;-
160 }
executed 2 times by 1 test: end of block
Executed by:
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2
161 // at this point a and b should not be negative-
162-
163 // 0 is special-
164 if (!a)
!aDescription
TRUEevaluated 11 times by 1 test
Evaluated by:
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FALSEevaluated 6 times by 1 test
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6-11
165 return f2i(b) - smallestPositiveFloatAsBits + 1;
executed 11 times by 1 test: return f2i(b) - smallestPositiveFloatAsBits + 1;
Executed by:
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11
166 if (!b)
!bDescription
TRUEnever evaluated
FALSEevaluated 6 times by 1 test
Evaluated by:
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0-6
167 return f2i(a) - smallestPositiveFloatAsBits + 1;
never executed: return f2i(a) - smallestPositiveFloatAsBits + 1;
0
168-
169 // finally do the common integer subtraction-
170 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:
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a > bDescription
TRUEevaluated 1 time by 1 test
Evaluated by:
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FALSEevaluated 5 times by 1 test
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1-6
171}-
172-
173-
174/*!-
175 \internal-
176 */-
177static inline quint64 d2i(double d)-
178{-
179 quint64 i;-
180 memcpy(&i, &d, sizeof(d));-
181 return i;
executed 23 times by 1 test: return i;
Executed by:
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23
182}-
183-
184/*!-
185 Returns the number of representable floating-point numbers between \a a and \a b.-
186-
187 This function serves the same purpose as \c{qFloatDistance(float, float)}, but-
188 returns the distance between two \c double numbers. Since the range is larger-
189 than for two \c float numbers (\c{[-DBL_MAX,DBL_MAX]}), the return type is quint64.-
190-
191-
192 \sa qFuzzyCompare()-
193 \since 5.2-
194 \relates <QtGlobal>-
195*/-
196Q_CORE_EXPORT quint64 qFloatDistance(double a, double b)-
197{-
198 static const quint64 smallestPositiveFloatAsBits = 0x1; // denormalized, (SMALLEST)-
199 /* Assumes:-
200 * IEE754 format double precision-
201 * Integers and floats have the same endian-
202 */-
203 Q_STATIC_ASSERT(sizeof(quint64) == sizeof(double));-
204 Q_ASSERT(qIsFinite(a) && qIsFinite(b));-
205 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
206 return 0;
executed 1 time by 1 test: return 0;
Executed by:
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1
207 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
208 // if they have different signs-
209 if (a < 0)
a < 0Description
TRUEevaluated 4 times by 1 test
Evaluated by:
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FALSEnever evaluated
0-4
210 a = -a;
executed 4 times by 1 test: a = -a;
Executed by:
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4
211 else /*if (b < 0)*/-
212 b = -b;
never executed: b = -b;
0
213 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
214 }-
215 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
216 a = -a;-
217 b = -b;-
218 }
executed 2 times by 1 test: end of block
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2
219 // at this point a and b should not be negative-
220-
221 // 0 is special-
222 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
223 return d2i(b) - smallestPositiveFloatAsBits + 1;
executed 11 times by 1 test: return d2i(b) - smallestPositiveFloatAsBits + 1;
Executed by:
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11
224 if (!b)
!bDescription
TRUEnever evaluated
FALSEevaluated 6 times by 1 test
Evaluated by:
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0-6
225 return d2i(a) - smallestPositiveFloatAsBits + 1;
never executed: return d2i(a) - smallestPositiveFloatAsBits + 1;
0
226-
227 // finally do the common integer subtraction-
228 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:
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a > bDescription
TRUEevaluated 1 time by 1 test
Evaluated by:
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FALSEevaluated 5 times by 1 test
Evaluated by:
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1-6
229}-
230-
231-
232QT_END_NAMESPACE-
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