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math.hxx
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19
20 #ifndef INCLUDED_RTL_MATH_HXX
21 #define INCLUDED_RTL_MATH_HXX
22
23 #include <rtl/math.h>
24 #include <rtl/string.hxx>
25 #include <rtl/ustring.hxx>
26 #include <rtl/ustrbuf.hxx>
27 #include <sal/mathconf.h>
28 #include <sal/types.h>
29
30 #include <cstddef>
31 #include <math.h>
32
33 namespace rtl {
34
35 namespace math {
36
39 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
40 sal_Int32 nDecPlaces,
41 sal_Char cDecSeparator,
42 sal_Int32 const * pGroups,
43 sal_Char cGroupSeparator,
44 bool bEraseTrailingDecZeros = false)
45 {
46 rtl::OString aResult;
47 rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
48 cDecSeparator, pGroups, cGroupSeparator,
49 bEraseTrailingDecZeros);
50 return aResult;
51 }
52
55 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
56 sal_Int32 nDecPlaces,
57 sal_Char cDecSeparator,
58 bool bEraseTrailingDecZeros = false)
59 {
60 rtl::OString aResult;
61 rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
62 cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
63 return aResult;
64 }
65
68 inline rtl::OUString doubleToUString(double fValue,
69 rtl_math_StringFormat eFormat,
70 sal_Int32 nDecPlaces,
71 sal_Unicode cDecSeparator,
72 sal_Int32 const * pGroups,
73 sal_Unicode cGroupSeparator,
74 bool bEraseTrailingDecZeros = false)
75 {
76 rtl::OUString aResult;
77 rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
78 cDecSeparator, pGroups, cGroupSeparator,
79 bEraseTrailingDecZeros);
80 return aResult;
81 }
82
85 inline rtl::OUString doubleToUString(double fValue,
86 rtl_math_StringFormat eFormat,
87 sal_Int32 nDecPlaces,
88 sal_Unicode cDecSeparator,
89 bool bEraseTrailingDecZeros = false)
90 {
91 rtl::OUString aResult;
92 rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
93 cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
94 return aResult;
95 }
96
100 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
101 rtl_math_StringFormat eFormat,
102 sal_Int32 nDecPlaces,
103 sal_Unicode cDecSeparator,
104 sal_Int32 const * pGroups,
105 sal_Unicode cGroupSeparator,
106 bool bEraseTrailingDecZeros = false)
107 {
108 rtl_uString ** pData;
109 sal_Int32 * pCapacity;
110 rBuffer.accessInternals( &pData, &pCapacity );
111 rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
112 eFormat, nDecPlaces, cDecSeparator, pGroups,
113 cGroupSeparator, bEraseTrailingDecZeros);
114 }
115
119 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
120 rtl_math_StringFormat eFormat,
121 sal_Int32 nDecPlaces,
122 sal_Unicode cDecSeparator,
123 bool bEraseTrailingDecZeros = false)
124 {
125 rtl_uString ** pData;
126 sal_Int32 * pCapacity;
127 rBuffer.accessInternals( &pData, &pCapacity );
128 rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
129 eFormat, nDecPlaces, cDecSeparator, NULL, 0,
130 bEraseTrailingDecZeros);
131 }
132
135 inline double stringToDouble(rtl::OString const & rString,
136 sal_Char cDecSeparator, sal_Char cGroupSeparator,
137 rtl_math_ConversionStatus * pStatus = NULL,
138 sal_Int32 * pParsedEnd = NULL)
139 {
140 sal_Char const * pBegin = rString.getStr();
141 sal_Char const * pEnd;
142 double fResult = rtl_math_stringToDouble(pBegin,
143 pBegin + rString.getLength(),
144 cDecSeparator, cGroupSeparator,
145 pStatus, &pEnd);
146 if (pParsedEnd != NULL)
147 *pParsedEnd = (sal_Int32)(pEnd - pBegin);
148 return fResult;
149 }
150
153 inline double stringToDouble(rtl::OUString const & rString,
154 sal_Unicode cDecSeparator,
155 sal_Unicode cGroupSeparator,
156 rtl_math_ConversionStatus * pStatus = NULL,
157 sal_Int32 * pParsedEnd = NULL)
158 {
159 sal_Unicode const * pBegin = rString.getStr();
160 sal_Unicode const * pEnd;
161 double fResult = rtl_math_uStringToDouble(pBegin,
162 pBegin + rString.getLength(),
163 cDecSeparator, cGroupSeparator,
164 pStatus, &pEnd);
165 if (pParsedEnd != NULL)
166 *pParsedEnd = (sal_Int32)(pEnd - pBegin);
167 return fResult;
168 }
169
172 inline double round(
173 double fValue, int nDecPlaces = 0,
174 rtl_math_RoundingMode eMode = rtl_math_RoundingMode_Corrected)
175 {
176 return rtl_math_round(fValue, nDecPlaces, eMode);
177 }
178
181 inline double pow10Exp(double fValue, int nExp)
182 {
183 return rtl_math_pow10Exp(fValue, nExp);
184 }
185
188 inline double approxValue(double fValue)
189 {
190 return rtl_math_approxValue(fValue);
191 }
192
195 inline double expm1(double fValue)
196 {
197 return rtl_math_expm1(fValue);
198 }
199
202 inline double log1p(double fValue)
203 {
204 return rtl_math_log1p(fValue);
205 }
206
209 inline double atanh(double fValue)
210 {
211 return rtl_math_atanh(fValue);
212 }
213
216 inline double erf(double fValue)
217 {
218 return rtl_math_erf(fValue);
219 }
220
223 inline double erfc(double fValue)
224 {
225 return rtl_math_erfc(fValue);
226 }
227
230 inline double asinh(double fValue)
231 {
232 return rtl_math_asinh(fValue);
233 }
234
237 inline double acosh(double fValue)
238 {
239 return rtl_math_acosh(fValue);
240 }
241
242
249 inline bool approxEqual(double a, double b)
250 {
251 if ( a == b )
252 return true;
253 double x = a - b;
254 return (x < 0.0 ? -x : x)
255 < ((a < 0.0 ? -a : a) * (1.0 / (16777216.0 * 16777216.0)));
256 }
257
263 inline bool approxEqual(double a, double b, sal_Int16 nPrec)
264 {
265 if ( a == b )
266 return true;
267 double x = a - b;
268 return (x < 0.0 ? -x : x)
269 < ((a < 0.0 ? -a : a) * (1.0 / (pow(static_cast<double>(2.0), nPrec))));
270 }
281 inline double approxAdd(double a, double b)
282 {
283 if ( ((a < 0.0 && b > 0.0) || (b < 0.0 && a > 0.0))
284 && approxEqual( a, -b ) )
285 return 0.0;
286 return a + b;
287 }
288
294 inline double approxSub(double a, double b)
295 {
296 if ( ((a < 0.0 && b < 0.0) || (a > 0.0 && b > 0.0)) && approxEqual( a, b ) )
297 return 0.0;
298 return a - b;
299 }
300
305 inline double approxFloor(double a)
306 {
307 return floor( approxValue( a ));
308 }
309
314 inline double approxCeil(double a)
315 {
316 return ceil( approxValue( a ));
317 }
318
321 inline bool isFinite(double d)
322 {
323 return SAL_MATH_FINITE(d);
324 }
325
332 inline bool isInf(double d)
333 {
334 // exponent==0x7ff fraction==0
335 return !SAL_MATH_FINITE(d) &&
336 (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi == 0)
337 && (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
338 == 0);
339 }
340
343 inline bool isNan(double d)
344 {
345 // exponent==0x7ff fraction!=0
346 return !SAL_MATH_FINITE(d) && (
347 (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi != 0)
348 || (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
349 != 0) );
350 }
351
354 inline bool isSignBitSet(double d)
355 {
356 return reinterpret_cast< sal_math_Double * >(&d)->inf_parts.sign != 0;
357 }
358
361 inline void setInf(double * pd, bool bNegative)
362 {
363 union
364 {
365 double sd;
366 sal_math_Double md;
367 };
368 md.w32_parts.msw = bNegative ? 0xFFF00000 : 0x7FF00000;
369 md.w32_parts.lsw = 0;
370 *pd = sd;
371 }
372
375 inline void setNan(double * pd)
376 {
377 union
378 {
379 double sd;
380 sal_math_Double md;
381 };
382 md.w32_parts.msw = 0x7FFFFFFF;
383 md.w32_parts.lsw = 0xFFFFFFFF;
384 *pd = sd;
385 }
386
396 inline bool isValidArcArg(double d)
397 {
398 return fabs(d)
399 <= (static_cast< double >(static_cast< unsigned long >(0x80000000))
400 * static_cast< double >(static_cast< unsigned long >(0x80000000))
401 * 2);
402 }
403
406 inline double sin(double d)
407 {
408 if ( isValidArcArg( d ) )
409 return ::sin( d );
410 setNan( &d );
411 return d;
412 }
413
416 inline double cos(double d)
417 {
418 if ( isValidArcArg( d ) )
419 return ::cos( d );
420 setNan( &d );
421 return d;
422 }
423
426 inline double tan(double d)
427 {
428 if ( isValidArcArg( d ) )
429 return ::tan( d );
430 setNan( &d );
431 return d;
432 }
433
434 }
435
436 }
437
438 #endif // INCLUDED_RTL_MATH_HXX
439
440 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */
rtl::math::doubleToUString
rtl::OUString doubleToUString(double fValue, rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, sal_Unicode cDecSeparator, sal_Int32 const *pGroups, sal_Unicode cGroupSeparator, bool bEraseTrailingDecZeros=false)
A wrapper around rtl_math_doubleToUString.
Definition: math.hxx:68
rtl_math_uStringToDouble
SAL_DLLPUBLIC double rtl_math_uStringToDouble(sal_Unicode const *pBegin, sal_Unicode const *pEnd, sal_Unicode cDecSeparator, sal_Unicode cGroupSeparator, enum rtl_math_ConversionStatus *pStatus, sal_Unicode const **pParsedEnd) SAL_THROW_EXTERN_C()
Conversion analogous to strtod(), convert a string representing a decimal number into a double value...
rtl::math::doubleToString
rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, sal_Char cDecSeparator, sal_Int32 const *pGroups, sal_Char cGroupSeparator, bool bEraseTrailingDecZeros=false)
A wrapper around rtl_math_doubleToString.
Definition: math.hxx:39
rtl_math_doubleToUString
SAL_DLLPUBLIC void rtl_math_doubleToUString(rtl_uString **pResult, sal_Int32 *pResultCapacity, sal_Int32 nResultOffset, double fValue, enum rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, sal_Unicode cDecSeparator, sal_Int32 const *pGroups, sal_Unicode cGroupSeparator, sal_Bool bEraseTrailingDecZeros) SAL_THROW_EXTERN_C()
Conversions analogous to sprintf() using internal rounding.
rtl::math::approxEqual
bool approxEqual(double a, double b)
Test equality of two values with an accuracy of the magnitude of the given values scaled by 2^-48 (4 ...
Definition: math.hxx:249
rtl::math::approxCeil
double approxCeil(double a)
ceil() method taking approxValue() into account.
Definition: math.hxx:314
math.h
rtl::math::approxSub
double approxSub(double a, double b)
Subtract two values (a-b).
Definition: math.hxx:294
rtl_math_acosh
SAL_DLLPUBLIC double rtl_math_acosh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic cosine.
rtl::math::expm1
double expm1(double fValue)
A wrapper around rtl_math_expm1.
Definition: math.hxx:195
rtl::math::acosh
double acosh(double fValue)
A wrapper around rtl_math_acosh.
Definition: math.hxx:237
rtl_math_round
SAL_DLLPUBLIC double rtl_math_round(double fValue, int nDecPlaces, enum rtl_math_RoundingMode eMode) SAL_THROW_EXTERN_C()
Rounds a double value.
rtl_math_log1p
SAL_DLLPUBLIC double rtl_math_log1p(double fValue) SAL_THROW_EXTERN_C()
Returns more accurate log(1+x) for x near 0 than calculating directly.
rtl_math_erf
SAL_DLLPUBLIC double rtl_math_erf(double fValue) SAL_THROW_EXTERN_C()
Returns values of the Errorfunction erf.
rtl::math::approxAdd
double approxAdd(double a, double b)
Add two values.
Definition: math.hxx:281
rtl::OString::getStr
const sal_Char * getStr() const
Returns a pointer to the characters of this string.
Definition: string.hxx:430
ustrbuf.hxx
rtl::math::stringToDouble
double stringToDouble(rtl::OString const &rString, sal_Char cDecSeparator, sal_Char cGroupSeparator, rtl_math_ConversionStatus *pStatus=NULL, sal_Int32 *pParsedEnd=NULL)
A wrapper around rtl_math_stringToDouble.
Definition: math.hxx:135
rtl::math::isValidArcArg
bool isValidArcArg(double d)
If a value is a valid argument for sin(), cos(), tan().
Definition: math.hxx:396
rtl::math::atanh
double atanh(double fValue)
A wrapper around rtl_math_atanh.
Definition: math.hxx:209
rtl::math::isInf
bool isInf(double d)
If a value represents +INF or -INF.
Definition: math.hxx:332
rtl::math::pow10Exp
double pow10Exp(double fValue, int nExp)
A wrapper around rtl_math_pow10Exp.
Definition: math.hxx:181
rtl_math_doubleToString
SAL_DLLPUBLIC void rtl_math_doubleToString(rtl_String **pResult, sal_Int32 *pResultCapacity, sal_Int32 nResultOffset, double fValue, enum rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, sal_Char cDecSeparator, sal_Int32 const *pGroups, sal_Char cGroupSeparator, sal_Bool bEraseTrailingDecZeros) SAL_THROW_EXTERN_C()
Conversions analogous to sprintf() using internal rounding.
rtl::OUStringBuffer::accessInternals
void accessInternals(rtl_uString ***pInternalData, sal_Int32 **pInternalCapacity)
Allows access to the internal data of this OUStringBuffer, for effective manipulation.
Definition: ustrbuf.hxx:1119
rtl::OUStringBuffer::getLength
sal_Int32 getLength() const
Returns the length (character count) of this string buffer.
Definition: ustrbuf.hxx:235
rtl_math_ConversionStatus
rtl_math_ConversionStatus
Status for rtl_math_stringToDouble and rtl_math_uStringToDouble.
Definition: math.h:83
mathconf.h
ustring.hxx
rtl::OString
This String class provide base functionality for C++ like 8-Bit character array handling.
Definition: string.hxx:90
rtl::math::tan
double tan(double d)
Safe tan(), returns NAN if not valid.
Definition: math.hxx:426
sal_Unicode
sal_uInt16 sal_Unicode
Definition: types.h:155
rtl_math_erfc
SAL_DLLPUBLIC double rtl_math_erfc(double fValue) SAL_THROW_EXTERN_C()
Returns values of the complement Errorfunction erfc.
rtl::math::erfc
double erfc(double fValue)
A wrapper around rtl_math_erfc.
Definition: math.hxx:223
rtl_math_pow10Exp
SAL_DLLPUBLIC double rtl_math_pow10Exp(double fValue, int nExp) SAL_THROW_EXTERN_C()
Scales fVal to a power of 10 without calling pow() or div() for nExp values between -16 and +16...
rtl::math::isNan
bool isNan(double d)
Test on any QNAN or SNAN.
Definition: math.hxx:343
rtl::math::cos
double cos(double d)
Safe cos(), returns NAN if not valid.
Definition: math.hxx:416
rtl::math::log1p
double log1p(double fValue)
A wrapper around rtl_math_log1p.
Definition: math.hxx:202
rtl_math_expm1
SAL_DLLPUBLIC double rtl_math_expm1(double fValue) SAL_THROW_EXTERN_C()
Returns more accurate e^x-1 for x near 0 than calculating directly.
types.h
rtl::math::approxValue
double approxValue(double fValue)
A wrapper around rtl_math_approxValue.
Definition: math.hxx:188
rtl_math_atanh
SAL_DLLPUBLIC double rtl_math_atanh(double fValue) SAL_THROW_EXTERN_C()
Returns more accurate atanh(x) for x near 0 than calculating 0.5*log((1+x)/(1-x)).
rtl::math::round
double round(double fValue, int nDecPlaces=0, rtl_math_RoundingMode eMode=rtl_math_RoundingMode_Corrected)
A wrapper around rtl_math_round.
Definition: math.hxx:172
rtl_math_stringToDouble
SAL_DLLPUBLIC double rtl_math_stringToDouble(sal_Char const *pBegin, sal_Char const *pEnd, sal_Char cDecSeparator, sal_Char cGroupSeparator, enum rtl_math_ConversionStatus *pStatus, sal_Char const **pParsedEnd) SAL_THROW_EXTERN_C()
Conversion analogous to strtod(), convert a string representing a decimal number into a double value...
rtl_math_approxValue
SAL_DLLPUBLIC double rtl_math_approxValue(double fValue) SAL_THROW_EXTERN_C()
Rounds value to 15 significant decimal digits.
string.hxx
rtl::math::setNan
void setNan(double *pd)
Set a QNAN.
Definition: math.hxx:375
rtl::math::isFinite
bool isFinite(double d)
Tests whether a value is neither INF nor NAN.
Definition: math.hxx:321
rtl::OUString
This String class provides base functionality for C++ like Unicode character array handling...
Definition: ustring.hxx:106
rtl_math_RoundingMode
rtl_math_RoundingMode
Rounding modes for rtl_math_round.
Definition: math.h:100
sal_Char
char sal_Char
A legacy synonym for char.
Definition: types.h:130
rtl_math_asinh
SAL_DLLPUBLIC double rtl_math_asinh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic sine.
rtl::math::setInf
void setInf(double *pd, bool bNegative)
Set to +INF if bNegative==false or -INF if bNegative==true.
Definition: math.hxx:361
rtl::OUString::getStr
const sal_Unicode * getStr() const
Returns a pointer to the Unicode character buffer for this string.
Definition: ustring.hxx:564
rtl::OUStringBuffer
A string buffer implements a mutable sequence of characters.
Definition: ustrbuf.hxx:56
rtl::math::erf
double erf(double fValue)
A wrapper around rtl_math_erf.
Definition: math.hxx:216
rtl::OString::getLength
sal_Int32 getLength() const
Returns the length of this string.
Definition: string.hxx:404
rtl
Definition: bootstrap.hxx:29
rtl::math::approxFloor
double approxFloor(double a)
floor() method taking approxValue() into account.
Definition: math.hxx:305
rtl::math::isSignBitSet
bool isSignBitSet(double d)
If the sign bit is set.
Definition: math.hxx:354
rtl::math::doubleToUStringBuffer
void doubleToUStringBuffer(rtl::OUStringBuffer &rBuffer, double fValue, rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, sal_Unicode cDecSeparator, sal_Int32 const *pGroups, sal_Unicode cGroupSeparator, bool bEraseTrailingDecZeros=false)
A wrapper around rtl_math_doubleToUString that appends to an rtl::OUStringBuffer. ...
Definition: math.hxx:100
rtl::OUString::getLength
sal_Int32 getLength() const
Returns the length of this string.
Definition: ustring.hxx:542
rtl::math::asinh
double asinh(double fValue)
A wrapper around rtl_math_asinh.
Definition: math.hxx:230
rtl::math::sin
double sin(double d)
Safe sin(), returns NAN if not valid.
Definition: math.hxx:406
rtl_math_StringFormat
rtl_math_StringFormat
Formatting modes for rtl_math_doubleToString and rtl_math_doubleToUString and rtl_math_doubleToUStrin...
Definition: math.h:36
rtl_math_RoundingMode_Corrected
Like HalfUp, but corrects roundoff errors, preferred.
Definition: math.h:104