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LibreOffice 24.2 SDK C/C++ API Reference
math.hxx
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23 
24 #ifndef INCLUDED_RTL_MATH_HXX
25 #define INCLUDED_RTL_MATH_HXX
26 
27 #include "rtl/math.h"
28 #include "rtl/strbuf.hxx"
29 #include "rtl/string.hxx"
30 #include "rtl/ustring.hxx"
31 #include "rtl/ustrbuf.hxx"
32 #include "sal/mathconf.h"
33 #include "sal/types.h"
34 
35 #include <cstddef>
36 #include <math.h>
37 
38 namespace rtl {
39 
40 namespace math {
41 
44 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
45  sal_Int32 nDecPlaces,
46  char cDecSeparator,
47  sal_Int32 const * pGroups,
48  char cGroupSeparator,
49  bool bEraseTrailingDecZeros = false)
50 {
51  rtl::OString aResult;
52  rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
53  cDecSeparator, pGroups, cGroupSeparator,
54  bEraseTrailingDecZeros);
55  return aResult;
56 }
57 
60 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
61  sal_Int32 nDecPlaces,
62  char cDecSeparator,
63  bool bEraseTrailingDecZeros = false)
64 {
65  rtl::OString aResult;
66  rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
67  cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
68  return aResult;
69 }
70 
77  rtl::OStringBuffer& rBuffer, double fValue, rtl_math_StringFormat eFormat,
78  sal_Int32 nDecPlaces, char cDecSeparator, sal_Int32 const * pGroups,
79  char cGroupSeparator, bool bEraseTrailingDecZeros = false)
80 {
81  rtl_String ** pData;
82  sal_Int32 * pCapacity;
83  rBuffer.accessInternals(&pData, &pCapacity);
85  pData, pCapacity, rBuffer.getLength(), fValue, eFormat, nDecPlaces,
86  cDecSeparator, pGroups, cGroupSeparator, bEraseTrailingDecZeros);
87 }
88 
95  rtl::OStringBuffer& rBuffer, double fValue, rtl_math_StringFormat eFormat,
96  sal_Int32 nDecPlaces, char cDecSeparator,
97  bool bEraseTrailingDecZeros = false)
98 {
99  rtl_String ** pData;
100  sal_Int32 * pCapacity;
101  rBuffer.accessInternals(&pData, &pCapacity);
103  pData, pCapacity, rBuffer.getLength(), fValue, eFormat, nDecPlaces,
104  cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
105 }
106 
109 inline rtl::OUString doubleToUString(double fValue,
110  rtl_math_StringFormat eFormat,
111  sal_Int32 nDecPlaces,
112  sal_Unicode cDecSeparator,
113  sal_Int32 const * pGroups,
114  sal_Unicode cGroupSeparator,
115  bool bEraseTrailingDecZeros = false)
116 {
117  rtl::OUString aResult;
118  rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
119  cDecSeparator, pGroups, cGroupSeparator,
120  bEraseTrailingDecZeros);
121  return aResult;
122 }
123 
126 inline rtl::OUString doubleToUString(double fValue,
127  rtl_math_StringFormat eFormat,
128  sal_Int32 nDecPlaces,
129  sal_Unicode cDecSeparator,
130  bool bEraseTrailingDecZeros = false)
131 {
132  rtl::OUString aResult;
133  rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
134  cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
135  return aResult;
136 }
137 
141 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
142  rtl_math_StringFormat eFormat,
143  sal_Int32 nDecPlaces,
144  sal_Unicode cDecSeparator,
145  sal_Int32 const * pGroups,
146  sal_Unicode cGroupSeparator,
147  bool bEraseTrailingDecZeros = false)
148 {
149  rtl_uString ** pData;
150  sal_Int32 * pCapacity;
151  rBuffer.accessInternals( &pData, &pCapacity );
152  rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
153  eFormat, nDecPlaces, cDecSeparator, pGroups,
154  cGroupSeparator, bEraseTrailingDecZeros);
155 }
156 
160 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
161  rtl_math_StringFormat eFormat,
162  sal_Int32 nDecPlaces,
163  sal_Unicode cDecSeparator,
164  bool bEraseTrailingDecZeros = false)
165 {
166  rtl_uString ** pData;
167  sal_Int32 * pCapacity;
168  rBuffer.accessInternals( &pData, &pCapacity );
169  rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
170  eFormat, nDecPlaces, cDecSeparator, NULL, 0,
171  bEraseTrailingDecZeros);
172 }
173 
176 #ifdef LIBO_INTERNAL_ONLY
177 inline double stringToDouble(std::string_view aString,
178  char cDecSeparator, char cGroupSeparator,
179  rtl_math_ConversionStatus * pStatus = NULL,
180  sal_Int32 * pParsedEnd = NULL)
181 {
182  char const * pBegin = aString.data();
183  char const * pEnd;
184  double fResult = rtl_math_stringToDouble(pBegin,
185  pBegin + aString.size(),
186  cDecSeparator, cGroupSeparator,
187  pStatus, &pEnd);
188  if (pParsedEnd != NULL)
189  *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
190  return fResult;
191 }
192 #else
193 inline double stringToDouble(rtl::OString const & rString,
194  char cDecSeparator, char cGroupSeparator,
195  rtl_math_ConversionStatus * pStatus = NULL,
196  sal_Int32 * pParsedEnd = NULL)
197 {
198  char const * pBegin = rString.getStr();
199  char const * pEnd;
200  double fResult = rtl_math_stringToDouble(pBegin,
201  pBegin + rString.getLength(),
202  cDecSeparator, cGroupSeparator,
203  pStatus, &pEnd);
204  if (pParsedEnd != NULL)
205  *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
206  return fResult;
207 }
208 #endif
209 
210 
213 #ifdef LIBO_INTERNAL_ONLY
214 inline double stringToDouble(std::u16string_view aString,
215  sal_Unicode cDecSeparator,
216  sal_Unicode cGroupSeparator,
217  rtl_math_ConversionStatus * pStatus = NULL,
218  sal_Int32 * pParsedEnd = NULL)
219 {
220  sal_Unicode const * pBegin = aString.data();
221  sal_Unicode const * pEnd;
222  double fResult = rtl_math_uStringToDouble(pBegin,
223  pBegin + aString.size(),
224  cDecSeparator, cGroupSeparator,
225  pStatus, &pEnd);
226  if (pParsedEnd != NULL)
227  *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
228  return fResult;
229 }
230 #else
231 inline double stringToDouble(rtl::OUString const & rString,
232  sal_Unicode cDecSeparator,
233  sal_Unicode cGroupSeparator,
234  rtl_math_ConversionStatus * pStatus = NULL,
235  sal_Int32 * pParsedEnd = NULL)
236 {
237  sal_Unicode const * pBegin = rString.getStr();
238  sal_Unicode const * pEnd;
239  double fResult = rtl_math_uStringToDouble(pBegin,
240  pBegin + rString.getLength(),
241  cDecSeparator, cGroupSeparator,
242  pStatus, &pEnd);
243  if (pParsedEnd != NULL)
244  *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
245  return fResult;
246 }
247 #endif
248 
251 inline double round(
252  double fValue, int nDecPlaces = 0,
254 {
255  return rtl_math_round(fValue, nDecPlaces, eMode);
256 }
257 
260 inline double pow10Exp(double fValue, int nExp)
261 {
262  return rtl_math_pow10Exp(fValue, nExp);
263 }
264 
267 inline double approxValue(double fValue)
268 {
269  return rtl_math_approxValue(fValue);
270 }
271 
274 inline double expm1(double fValue)
275 {
276  return rtl_math_expm1(fValue);
277 }
278 
281 inline double log1p(double fValue)
282 {
283  return rtl_math_log1p(fValue);
284 }
285 
288 inline double atanh(double fValue)
289 {
290  return rtl_math_atanh(fValue);
291 }
292 
295 inline double erf(double fValue)
296 {
297  return rtl_math_erf(fValue);
298 }
299 
302 inline double erfc(double fValue)
303 {
304  return rtl_math_erfc(fValue);
305 }
306 
309 inline double asinh(double fValue)
310 {
311  return rtl_math_asinh(fValue);
312 }
313 
316 inline double acosh(double fValue)
317 {
318  return rtl_math_acosh(fValue);
319 }
320 
323 inline bool approxEqual(double a, double b)
324 {
325  return rtl_math_approxEqual( a, b );
326 }
327 
333 inline bool approxEqual(double a, double b, sal_Int16 nPrec)
334 {
335  if ( a == b )
336  return true;
337  double x = a - b;
338  return (x < 0.0 ? -x : x)
339  < ((a < 0.0 ? -a : a) * (1.0 / (pow(2.0, nPrec))));
340 }
341 
352 inline double approxAdd(double a, double b)
353 {
354  if ( ((a < 0.0 && b > 0.0) || (b < 0.0 && a > 0.0))
355  && approxEqual( a, -b ) )
356  return 0.0;
357  return a + b;
358 }
359 
365 inline double approxSub(double a, double b)
366 {
367  if ( ((a < 0.0 && b < 0.0) || (a > 0.0 && b > 0.0)) && approxEqual( a, b ) )
368  return 0.0;
369  return a - b;
370 }
371 
376 inline double approxFloor(double a)
377 {
378  return floor( approxValue( a ));
379 }
380 
385 inline double approxCeil(double a)
386 {
387  return ceil( approxValue( a ));
388 }
389 
392 inline bool isFinite(double d)
393 {
394  return SAL_MATH_FINITE(d);
395 }
396 
403 inline bool isInf(double d)
404 {
405  // exponent==0x7ff fraction==0
406  return !SAL_MATH_FINITE(d) &&
407  (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi == 0)
408  && (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
409  == 0);
410 }
411 
414 inline bool isNan(double d)
415 {
416  // exponent==0x7ff fraction!=0
417  return !SAL_MATH_FINITE(d) && (
418  (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi != 0)
419  || (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
420  != 0) );
421 }
422 
425 inline bool isSignBitSet(double d)
426 {
427  return reinterpret_cast< sal_math_Double * >(&d)->inf_parts.sign != 0;
428 }
429 
432 inline void setInf(double * pd, bool bNegative)
433 {
434  union
435  {
436  double sd;
437  sal_math_Double md;
438  };
439  md.w32_parts.msw = bNegative ? 0xFFF00000 : 0x7FF00000;
440  md.w32_parts.lsw = 0;
441  *pd = sd;
442 }
443 
446 inline void setNan(double * pd)
447 {
448  union
449  {
450  double sd;
451  sal_math_Double md;
452  };
453  md.w32_parts.msw = 0x7FFFFFFF;
454  md.w32_parts.lsw = 0xFFFFFFFF;
455  *pd = sd;
456 }
457 
467 inline bool isValidArcArg(double d)
468 {
469  return fabs(d)
470  <= (static_cast< double >(static_cast< unsigned long >(0x80000000))
471  * static_cast< double >(static_cast< unsigned long >(0x80000000))
472  * 4);
473 }
474 
477 inline double sin(double d)
478 {
479  if ( isValidArcArg( d ) )
480  return ::sin( d );
481  setNan( &d );
482  return d;
483 }
484 
487 inline double cos(double d)
488 {
489  if ( isValidArcArg( d ) )
490  return ::cos( d );
491  setNan( &d );
492  return d;
493 }
494 
497 inline double tan(double d)
498 {
499  if ( isValidArcArg( d ) )
500  return ::tan( d );
501  setNan( &d );
502  return d;
503 }
504 
505 }
506 
507 }
508 
509 #endif // INCLUDED_RTL_MATH_HXX
510 
511 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */
bool isValidArcArg(double d)
If a value is a valid argument for sin(), cos(), tan().
Definition: math.hxx:467
sal_Int32 getLength() const
Returns the length of this string.
Definition: string.hxx:659
SAL_DLLPUBLIC bool rtl_math_approxEqual(double a, double b) SAL_THROW_EXTERN_C()
Test equality of two values with an accuracy of the magnitude of the given values scaled by 2^-48 (4 ...
sal_Int32 getLength() const
Returns the length of this string.
Definition: ustring.hxx:816
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...
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:141
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.
const char * getStr() const SAL_RETURNS_NONNULL
Returns a pointer to the characters of this string.
Definition: string.hxx:685
void setInf(double *pd, bool bNegative)
Set to +INF if bNegative==false or -INF if bNegative==true.
Definition: math.hxx:432
double erfc(double fValue)
A wrapper around rtl_math_erfc.
Definition: math.hxx:302
SAL_DLLPUBLIC double rtl_math_acosh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic cosine.
bool isNan(double d)
Test on any QNAN or SNAN.
Definition: math.hxx:414
A string buffer implements a mutable sequence of characters.
Definition: strbuf.hxx:71
bool isInf(double d)
If a value represents +INF or -INF.
Definition: math.hxx:403
A string buffer implements a mutable sequence of characters.
Definition: ustrbuf.hxx:72
SAL_DLLPUBLIC double rtl_math_round(double fValue, int nDecPlaces, enum rtl_math_RoundingMode eMode) SAL_THROW_EXTERN_C()
Rounds a double value.
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::OString doubleToString(double fValue, rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, char cDecSeparator, sal_Int32 const *pGroups, char cGroupSeparator, bool bEraseTrailingDecZeros=false)
A wrapper around rtl_math_doubleToString.
Definition: math.hxx:44
const sal_Unicode * getStr() const SAL_RETURNS_NONNULL
Returns a pointer to the Unicode character buffer for this string.
Definition: ustring.hxx:838
SAL_DLLPUBLIC double rtl_math_erf(double fValue) SAL_THROW_EXTERN_C()
Returns values of the Errorfunction erf.
void setNan(double *pd)
Set a QNAN.
Definition: math.hxx:446
bool isSignBitSet(double d)
If the sign bit is set.
Definition: math.hxx:425
double stringToDouble(rtl::OString const &rString, char cDecSeparator, char cGroupSeparator, rtl_math_ConversionStatus *pStatus=NULL, sal_Int32 *pParsedEnd=NULL)
A wrapper around rtl_math_stringToDouble.
Definition: math.hxx:193
double cos(double d)
Safe cos(), returns NAN if not valid.
Definition: math.hxx:487
double approxFloor(double a)
floor() method taking approxValue() into account.
Definition: math.hxx:376
void doubleToStringBuffer(rtl::OStringBuffer &rBuffer, double fValue, rtl_math_StringFormat eFormat, sal_Int32 nDecPlaces, char cDecSeparator, sal_Int32 const *pGroups, char cGroupSeparator, bool bEraseTrailingDecZeros=false)
A wrapper around rtl_math_doubleToString that appends to an rtl::OStringBuffer.
Definition: math.hxx:76
rtl_math_ConversionStatus
Status for rtl_math_stringToDouble and rtl_math_uStringToDouble.
Definition: math.h:87
double expm1(double fValue)
A wrapper around rtl_math_expm1.
Definition: math.hxx:274
double atanh(double fValue)
A wrapper around rtl_math_atanh.
Definition: math.hxx:288
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:109
bool approxEqual(double a, double b)
A wrapper around rtl_math_approxEqual.
Definition: math.hxx:323
sal_uInt16 sal_Unicode
Definition: types.h:123
SAL_DLLPUBLIC double rtl_math_erfc(double fValue) SAL_THROW_EXTERN_C()
Returns values of the complement Errorfunction erfc.
sal_Int32 getLength() const
Returns the length (character count) of this string buffer.
Definition: strbuf.hxx:384
double erf(double fValue)
A wrapper around rtl_math_erf.
Definition: math.hxx:295
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...
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, char cDecSeparator, sal_Int32 const *pGroups, char cGroupSeparator, sal_Bool bEraseTrailingDecZeros) SAL_THROW_EXTERN_C()
Conversions analogous to sprintf() using internal rounding.
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.
Definition: bootstrap.hxx:33
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)).
void accessInternals(rtl_uString ***pInternalData, sal_Int32 **pInternalCapacity)
Allows access to the internal data of this OUStringBuffer, for effective manipulation.
Definition: ustrbuf.hxx:1369
SAL_DLLPUBLIC double rtl_math_approxValue(double fValue) SAL_THROW_EXTERN_C()
Rounds value to 15 significant decimal digits.
This String class provide base functionality for C++ like 8-Bit character array handling.
Definition: string.hxx:191
This String class provides base functionality for C++ like Unicode character array handling...
Definition: ustring.hxx:170
double log1p(double fValue)
A wrapper around rtl_math_log1p.
Definition: math.hxx:281
double approxAdd(double a, double b)
Add two values.
Definition: math.hxx:352
double approxValue(double fValue)
A wrapper around rtl_math_approxValue.
Definition: math.hxx:267
sal_Int32 getLength() const
Returns the length (character count) of this string buffer.
Definition: ustrbuf.hxx:419
rtl_math_RoundingMode
Rounding modes for rtl_math_round.
Definition: math.h:104
SAL_DLLPUBLIC double rtl_math_stringToDouble(char const *pBegin, char const *pEnd, char cDecSeparator, char cGroupSeparator, enum rtl_math_ConversionStatus *pStatus, char const **pParsedEnd) SAL_THROW_EXTERN_C()
Conversion analogous to strtod(), convert a string representing a decimal number into a double value...
double approxSub(double a, double b)
Subtract two values (a-b).
Definition: math.hxx:365
double sin(double d)
Safe sin(), returns NAN if not valid.
Definition: math.hxx:477
double pow10Exp(double fValue, int nExp)
A wrapper around rtl_math_pow10Exp.
Definition: math.hxx:260
double round(double fValue, int nDecPlaces=0, rtl_math_RoundingMode eMode=rtl_math_RoundingMode_Corrected)
A wrapper around rtl_math_round.
Definition: math.hxx:251
SAL_DLLPUBLIC double rtl_math_asinh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic sine.
double acosh(double fValue)
A wrapper around rtl_math_acosh.
Definition: math.hxx:316
double tan(double d)
Safe tan(), returns NAN if not valid.
Definition: math.hxx:497
bool isFinite(double d)
Tests whether a value is neither INF nor NAN.
Definition: math.hxx:392
double asinh(double fValue)
A wrapper around rtl_math_asinh.
Definition: math.hxx:309
double approxCeil(double a)
ceil() method taking approxValue() into account.
Definition: math.hxx:385
void accessInternals(rtl_String ***pInternalData, sal_Int32 **pInternalCapacity)
Allows access to the internal data of this OStringBuffer, for effective manipulation.
Definition: strbuf.hxx:1074
rtl_math_StringFormat
Formatting modes for rtl_math_doubleToString and rtl_math_doubleToUString and rtl_math_doubleToUStrin...
Definition: math.h:40
Like HalfUp, but corrects roundoff errors, preferred.
Definition: math.h:108