LibreOffice: rtl/math.hxx Source File

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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/strbuf.hxx"
25 #include "rtl/string.hxx"
26 #include "rtl/ustring.hxx"
27 #include "rtl/ustrbuf.hxx"
28 #include "sal/mathconf.h"
29 #include "sal/types.h"
30
31 #include <cstddef>
32 #include <math.h>
33
34 namespace rtl {
35
36 namespace math {
37
40 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
41 sal_Int32 nDecPlaces,
42 sal_Char cDecSeparator,
43 sal_Int32 const * pGroups,
44 sal_Char cGroupSeparator,
45 bool bEraseTrailingDecZeros = false)
46 {
47 rtl::OString aResult;
48 rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
49 cDecSeparator, pGroups, cGroupSeparator,
50 bEraseTrailingDecZeros);
51 return aResult;
52 }
53
56 inline rtl::OString doubleToString(double fValue, rtl_math_StringFormat eFormat,
57 sal_Int32 nDecPlaces,
58 sal_Char cDecSeparator,
59 bool bEraseTrailingDecZeros = false)
60 {
61 rtl::OString aResult;
62 rtl_math_doubleToString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
63 cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
64 return aResult;
65 }
66
72 inline void doubleToStringBuffer(
73 rtl::OStringBuffer& rBuffer, double fValue, rtl_math_StringFormat eFormat,
74 sal_Int32 nDecPlaces, sal_Char cDecSeparator, sal_Int32 const * pGroups,
75 sal_Char cGroupSeparator, bool bEraseTrailingDecZeros = false)
76 {
77 rtl_String ** pData;
78 sal_Int32 * pCapacity;
79 rBuffer.accessInternals(&pData, &pCapacity);
80 rtl_math_doubleToString(
81 pData, pCapacity, rBuffer.getLength(), fValue, eFormat, nDecPlaces,
82 cDecSeparator, pGroups, cGroupSeparator, bEraseTrailingDecZeros);
83 }
84
90 inline void doubleToStringBuffer(
91 rtl::OStringBuffer& rBuffer, double fValue, rtl_math_StringFormat eFormat,
92 sal_Int32 nDecPlaces, sal_Char cDecSeparator,
93 bool bEraseTrailingDecZeros = false)
94 {
95 rtl_String ** pData;
96 sal_Int32 * pCapacity;
97 rBuffer.accessInternals(&pData, &pCapacity);
98 rtl_math_doubleToString(
99 pData, pCapacity, rBuffer.getLength(), fValue, eFormat, nDecPlaces,
100 cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
101 }
102
105 inline rtl::OUString doubleToUString(double fValue,
106 rtl_math_StringFormat eFormat,
107 sal_Int32 nDecPlaces,
108 sal_Unicode cDecSeparator,
109 sal_Int32 const * pGroups,
110 sal_Unicode cGroupSeparator,
111 bool bEraseTrailingDecZeros = false)
112 {
113 rtl::OUString aResult;
114 rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
115 cDecSeparator, pGroups, cGroupSeparator,
116 bEraseTrailingDecZeros);
117 return aResult;
118 }
119
122 inline rtl::OUString doubleToUString(double fValue,
123 rtl_math_StringFormat eFormat,
124 sal_Int32 nDecPlaces,
125 sal_Unicode cDecSeparator,
126 bool bEraseTrailingDecZeros = false)
127 {
128 rtl::OUString aResult;
129 rtl_math_doubleToUString(&aResult.pData, NULL, 0, fValue, eFormat, nDecPlaces,
130 cDecSeparator, NULL, 0, bEraseTrailingDecZeros);
131 return aResult;
132 }
133
137 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
138 rtl_math_StringFormat eFormat,
139 sal_Int32 nDecPlaces,
140 sal_Unicode cDecSeparator,
141 sal_Int32 const * pGroups,
142 sal_Unicode cGroupSeparator,
143 bool bEraseTrailingDecZeros = false)
144 {
145 rtl_uString ** pData;
146 sal_Int32 * pCapacity;
147 rBuffer.accessInternals( &pData, &pCapacity );
148 rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
149 eFormat, nDecPlaces, cDecSeparator, pGroups,
150 cGroupSeparator, bEraseTrailingDecZeros);
151 }
152
156 inline void doubleToUStringBuffer( rtl::OUStringBuffer& rBuffer, double fValue,
157 rtl_math_StringFormat eFormat,
158 sal_Int32 nDecPlaces,
159 sal_Unicode cDecSeparator,
160 bool bEraseTrailingDecZeros = false)
161 {
162 rtl_uString ** pData;
163 sal_Int32 * pCapacity;
164 rBuffer.accessInternals( &pData, &pCapacity );
165 rtl_math_doubleToUString( pData, pCapacity, rBuffer.getLength(), fValue,
166 eFormat, nDecPlaces, cDecSeparator, NULL, 0,
167 bEraseTrailingDecZeros);
168 }
169
172 inline double stringToDouble(rtl::OString const & rString,
173 sal_Char cDecSeparator, sal_Char cGroupSeparator,
174 rtl_math_ConversionStatus * pStatus = NULL,
175 sal_Int32 * pParsedEnd = NULL)
176 {
177 sal_Char const * pBegin = rString.getStr();
178 sal_Char const * pEnd;
179 double fResult = rtl_math_stringToDouble(pBegin,
180 pBegin + rString.getLength(),
181 cDecSeparator, cGroupSeparator,
182 pStatus, &pEnd);
183 if (pParsedEnd != NULL)
184 *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
185 return fResult;
186 }
187
190 inline double stringToDouble(rtl::OUString const & rString,
191 sal_Unicode cDecSeparator,
192 sal_Unicode cGroupSeparator,
193 rtl_math_ConversionStatus * pStatus = NULL,
194 sal_Int32 * pParsedEnd = NULL)
195 {
196 sal_Unicode const * pBegin = rString.getStr();
197 sal_Unicode const * pEnd;
198 double fResult = rtl_math_uStringToDouble(pBegin,
199 pBegin + rString.getLength(),
200 cDecSeparator, cGroupSeparator,
201 pStatus, &pEnd);
202 if (pParsedEnd != NULL)
203 *pParsedEnd = static_cast<sal_Int32>(pEnd - pBegin);
204 return fResult;
205 }
206
209 inline double round(
210 double fValue, int nDecPlaces = 0,
211 rtl_math_RoundingMode eMode = rtl_math_RoundingMode_Corrected)
212 {
213 return rtl_math_round(fValue, nDecPlaces, eMode);
214 }
215
218 inline double pow10Exp(double fValue, int nExp)
219 {
220 return rtl_math_pow10Exp(fValue, nExp);
221 }
222
225 inline double approxValue(double fValue)
226 {
227 return rtl_math_approxValue(fValue);
228 }
229
232 inline double expm1(double fValue)
233 {
234 return rtl_math_expm1(fValue);
235 }
236
239 inline double log1p(double fValue)
240 {
241 return rtl_math_log1p(fValue);
242 }
243
246 inline double atanh(double fValue)
247 {
248 return rtl_math_atanh(fValue);
249 }
250
253 inline double erf(double fValue)
254 {
255 return rtl_math_erf(fValue);
256 }
257
260 inline double erfc(double fValue)
261 {
262 return rtl_math_erfc(fValue);
263 }
264
267 inline double asinh(double fValue)
268 {
269 return rtl_math_asinh(fValue);
270 }
271
274 inline double acosh(double fValue)
275 {
276 return rtl_math_acosh(fValue);
277 }
278
281 inline bool approxEqual(double a, double b)
282 {
283 return rtl_math_approxEqual( a, b );
284 }
285
291 inline bool approxEqual(double a, double b, sal_Int16 nPrec)
292 {
293 if ( a == b )
294 return true;
295 double x = a - b;
296 return (x < 0.0 ? -x : x)
297 < ((a < 0.0 ? -a : a) * (1.0 / (pow(2.0, nPrec))));
298 }
299
310 inline double approxAdd(double a, double b)
311 {
312 if ( ((a < 0.0 && b > 0.0) || (b < 0.0 && a > 0.0))
313 && approxEqual( a, -b ) )
314 return 0.0;
315 return a + b;
316 }
317
323 inline double approxSub(double a, double b)
324 {
325 if ( ((a < 0.0 && b < 0.0) || (a > 0.0 && b > 0.0)) && approxEqual( a, b ) )
326 return 0.0;
327 return a - b;
328 }
329
334 inline double approxFloor(double a)
335 {
336 return floor( approxValue( a ));
337 }
338
343 inline double approxCeil(double a)
344 {
345 return ceil( approxValue( a ));
346 }
347
350 inline bool isFinite(double d)
351 {
352 return SAL_MATH_FINITE(d);
353 }
354
361 inline bool isInf(double d)
362 {
363 // exponent==0x7ff fraction==0
364 return !SAL_MATH_FINITE(d) &&
365 (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi == 0)
366 && (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
367 == 0);
368 }
369
372 inline bool isNan(double d)
373 {
374 // exponent==0x7ff fraction!=0
375 return !SAL_MATH_FINITE(d) && (
376 (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_hi != 0)
377 || (reinterpret_cast< sal_math_Double * >(&d)->inf_parts.fraction_lo
378 != 0) );
379 }
380
383 inline bool isSignBitSet(double d)
384 {
385 return reinterpret_cast< sal_math_Double * >(&d)->inf_parts.sign != 0;
386 }
387
390 inline void setInf(double * pd, bool bNegative)
391 {
392 union
393 {
394 double sd;
395 sal_math_Double md;
396 };
397 md.w32_parts.msw = bNegative ? 0xFFF00000 : 0x7FF00000;
398 md.w32_parts.lsw = 0;
399 *pd = sd;
400 }
401
404 inline void setNan(double * pd)
405 {
406 union
407 {
408 double sd;
409 sal_math_Double md;
410 };
411 md.w32_parts.msw = 0x7FFFFFFF;
412 md.w32_parts.lsw = 0xFFFFFFFF;
413 *pd = sd;
414 }
415
425 inline bool isValidArcArg(double d)
426 {
427 return fabs(d)
428 <= (static_cast< double >(static_cast< unsigned long >(0x80000000))
429 * static_cast< double >(static_cast< unsigned long >(0x80000000))
430 * 2);
431 }
432
435 inline double sin(double d)
436 {
437 if ( isValidArcArg( d ) )
438 return ::sin( d );
439 setNan( &d );
440 return d;
441 }
442
445 inline double cos(double d)
446 {
447 if ( isValidArcArg( d ) )
448 return ::cos( d );
449 setNan( &d );
450 return d;
451 }
452
455 inline double tan(double d)
456 {
457 if ( isValidArcArg( d ) )
458 return ::tan( d );
459 setNan( &d );
460 return d;
461 }
462
463 }
464
465 }
466
467 #endif // INCLUDED_RTL_MATH_HXX
468
469 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */
rtl::OStringBuffer::getLength
sal_Int32 getLength() const
Returns the length (character count) of this string buffer.
Definition: strbuf.hxx:321
rtl::math::acosh
double acosh(double fValue)
A wrapper around rtl_math_acosh.
Definition: math.hxx:274
sal_Char
char sal_Char
A legacy synonym for char.
Definition: types.h:120
math.h
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:105
rtl::math::approxCeil
double approxCeil(double a)
ceil() method taking approxValue() into account.
Definition: math.hxx:343
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::doubleToStringBuffer
void doubleToStringBuffer(rtl::OStringBuffer &rBuffer, 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 that appends to an rtl::OStringBuffer.
Definition: math.hxx:72
rtl::math::isInf
bool isInf(double d)
If a value represents +INF or -INF.
Definition: math.hxx:361
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:209
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::isFinite
bool isFinite(double d)
Tests whether a value is neither INF nor NAN.
Definition: math.hxx:350
rtl::OString::getLength
sal_Int32 getLength() const
Returns the length of this string.
Definition: string.hxx:400
rtl::math::setInf
void setInf(double *pd, bool bNegative)
Set to +INF if bNegative==false or -INF if bNegative==true.
Definition: math.hxx:390
rtl::math::cos
double cos(double d)
Safe cos(), returns NAN if not valid.
Definition: math.hxx:445
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:172
string.hxx
rtl::math::approxValue
double approxValue(double fValue)
A wrapper around rtl_math_approxValue.
Definition: math.hxx:225
ustrbuf.hxx
rtl_math_erf
SAL_DLLPUBLIC double rtl_math_erf(double fValue) SAL_THROW_EXTERN_C()
Returns values of the Errorfunction erf.
rtl::math::sin
double sin(double d)
Safe sin(), returns NAN if not valid.
Definition: math.hxx:435
rtl::math::expm1
double expm1(double fValue)
A wrapper around rtl_math_expm1.
Definition: math.hxx:232
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::OUString::getLength
sal_Int32 getLength() const
Returns the length of this string.
Definition: ustring.hxx:641
rtl_math_RoundingMode_Corrected
Like HalfUp, but corrects roundoff errors, preferred.
Definition: math.h:104
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.
rtl::math::tan
double tan(double d)
Safe tan(), returns NAN if not valid.
Definition: math.hxx:455
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::asinh
double asinh(double fValue)
A wrapper around rtl_math_asinh.
Definition: math.hxx:267
rtl_math_asinh
SAL_DLLPUBLIC double rtl_math_asinh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic sine.
types.h
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::isNan
bool isNan(double d)
Test on any QNAN or SNAN.
Definition: math.hxx:372
ustring.hxx
rtl_math_approxEqual
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 ...
mathconf.h
rtl::math::approxEqual
bool approxEqual(double a, double b)
A wrapper around rtl_math_approxEqual.
Definition: math.hxx:281
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::OStringBuffer::accessInternals
void accessInternals(rtl_String ***pInternalData, sal_Int32 **pInternalCapacity)
Allows access to the internal data of this OStringBuffer, for effective manipulation.
Definition: strbuf.hxx:1007
rtl_math_RoundingMode
rtl_math_RoundingMode
Rounding modes for rtl_math_round.
Definition: math.h:100
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:1320
rtl::math::erf
double erf(double fValue)
A wrapper around rtl_math_erf.
Definition: math.hxx:253
rtl::math::approxFloor
double approxFloor(double a)
floor() method taking approxValue() into account.
Definition: math.hxx:334
rtl::math::isSignBitSet
bool isSignBitSet(double d)
If the sign bit is set.
Definition: math.hxx:383
strbuf.hxx
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:137
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::math::approxAdd
double approxAdd(double a, double b)
Add two values.
Definition: math.hxx:310
rtl_math_ConversionStatus
rtl_math_ConversionStatus
Status for rtl_math_stringToDouble and rtl_math_uStringToDouble.
Definition: math.h:83
rtl_math_acosh
SAL_DLLPUBLIC double rtl_math_acosh(double fValue) SAL_THROW_EXTERN_C()
Returns values of the inverse hyperbolic cosine.
rtl
Definition: bootstrap.hxx:29
rtl::OUString
This String class provides base functionality for C++ like Unicode character array handling.
Definition: ustring.hxx:123
sal_Unicode
sal_uInt16 sal_Unicode
Definition: types.h:141
rtl_math_erfc
SAL_DLLPUBLIC double rtl_math_erfc(double fValue) SAL_THROW_EXTERN_C()
Returns values of the complement Errorfunction erfc.
rtl::math::atanh
double atanh(double fValue)
A wrapper around rtl_math_atanh.
Definition: math.hxx:246
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_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::log1p
double log1p(double fValue)
A wrapper around rtl_math_log1p.
Definition: math.hxx:239
rtl::OString
This String class provide base functionality for C++ like 8-Bit character array handling.
Definition: string.hxx:92
rtl::math::pow10Exp
double pow10Exp(double fValue, int nExp)
A wrapper around rtl_math_pow10Exp.
Definition: math.hxx:218
rtl::OUStringBuffer::getLength
sal_Int32 getLength() const
Returns the length (character count) of this string buffer.
Definition: ustrbuf.hxx:355
rtl::OString::getStr
const sal_Char * getStr() const SAL_RETURNS_NONNULL
Returns a pointer to the characters of this string.
Definition: string.hxx:426
rtl::OUStringBuffer
A string buffer implements a mutable sequence of characters.
Definition: ustrbuf.hxx:59
rtl::math::setNan
void setNan(double *pd)
Set a QNAN.
Definition: math.hxx:404
rtl::math::isValidArcArg
bool isValidArcArg(double d)
If a value is a valid argument for sin(), cos(), tan().
Definition: math.hxx:425
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:40
rtl::math::erfc
double erfc(double fValue)
A wrapper around rtl_math_erfc.
Definition: math.hxx:260
rtl::OStringBuffer
A string buffer implements a mutable sequence of characters.
Definition: strbuf.hxx:65
rtl::math::approxSub
double approxSub(double a, double b)
Subtract two values (a-b).
Definition: math.hxx:323
rtl_math_approxValue
SAL_DLLPUBLIC double rtl_math_approxValue(double fValue) SAL_THROW_EXTERN_C()
Rounds value to 15 significant decimal digits.
rtl::OUString::getStr
const sal_Unicode * getStr() const SAL_RETURNS_NONNULL
Returns a pointer to the Unicode character buffer for this string.
Definition: ustring.hxx:663