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+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed
+ * with this work for additional information regarding copyright
+ * ownership. The ASF licenses this file to you under the Apache
+ * License, Version 2.0 (the "License"); you may not use this file
+ * except in compliance with the License. You may obtain a copy of
+ * the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+/*
+ * This file is part of LibreOffice published API.
+ */
+
+#ifndef INCLUDED_RTL_MATH_H
+#define INCLUDED_RTL_MATH_H
+
+#include "sal/config.h"
+
+#include "rtl/ustring.h"
+#include "sal/saldllapi.h"
+#include "sal/types.h"
+
+#if defined __cplusplus
+extern "C" {
+#endif /* __cplusplus */
+
+/** Formatting modes for rtl_math_doubleToString and rtl_math_doubleToUString
+ and rtl_math_doubleToUStringBuffer.
+ */
+enum rtl_math_StringFormat
+{
+ /** Like sprintf() %E.
+ */
+ rtl_math_StringFormat_E,
+
+ /** Like sprintf() %f.
+ */
+ rtl_math_StringFormat_F,
+
+ /** Like sprintf() %G, 'F' or 'E' format is used depending on which one is
+ more compact.
+ */
+ rtl_math_StringFormat_G,
+
+ /** Automatic, 'F' or 'E' format is used depending on the numeric value to
+ be formatted.
+ */
+ rtl_math_StringFormat_Automatic,
+
+ /** Same 'E', but with only 1 minimum digits in exponent.
+ @since LibreOffice 5.0
+ */
+ rtl_math_StringFormat_E1,
+
+ /** Same 'E', but with only 2 minimum digits in exponent.
+ @since LibreOffice 5.0
+ */
+ rtl_math_StringFormat_E2,
+
+ /** Same 'G', but with only 1 minimum digits in exponent.
+ @since LibreOffice 5.0
+ */
+ rtl_math_StringFormat_G1,
+
+ /** Same 'G', but with only 2 minimum digits in exponent.
+ @since LibreOffice 5.0
+ */
+ rtl_math_StringFormat_G2,
+
+ /** @cond INTERNAL */
+ rtl_math_StringFormat_FORCE_EQUAL_SIZE = SAL_MAX_ENUM
+ /** @endcond */
+};
+
+/** Status for rtl_math_stringToDouble and rtl_math_uStringToDouble.
+ */
+enum rtl_math_ConversionStatus
+{
+ /** Conversion was successful.
+ */
+ rtl_math_ConversionStatus_Ok,
+
+ /** Conversion caused overflow or underflow.
+ */
+ rtl_math_ConversionStatus_OutOfRange,
+
+ /** @cond INTERNAL */
+ rtl_math_ConversionStatus_FORCE_EQUAL_SIZE = SAL_MAX_ENUM
+ /** @endcond */
+};
+
+/** Rounding modes for rtl_math_round.
+ */
+enum rtl_math_RoundingMode
+{
+ /** Like HalfUp, but corrects roundoff errors, preferred.
+ */
+ rtl_math_RoundingMode_Corrected,
+
+ /** Floor of absolute value, signed return (commercial).
+ */
+ rtl_math_RoundingMode_Down,
+
+ /** Ceil of absolute value, signed return (commercial).
+ */
+ rtl_math_RoundingMode_Up,
+
+ /** Floor of signed value.
+ */
+ rtl_math_RoundingMode_Floor,
+
+ /** Ceil of signed value.
+ */
+ rtl_math_RoundingMode_Ceiling,
+
+ /** Frac <= 0.5 ? floor of abs : ceil of abs, signed return.
+ */
+ rtl_math_RoundingMode_HalfDown,
+
+ /** Frac < 0.5 ? floor of abs : ceil of abs, signed return (mathematical).
+ */
+ rtl_math_RoundingMode_HalfUp,
+
+ /** IEEE rounding mode (statistical).
+ */
+ rtl_math_RoundingMode_HalfEven,
+
+ /** @cond INTERNAL */
+ rtl_math_RoundingMode_FORCE_EQUAL_SIZE = SAL_MAX_ENUM
+ /** @endcond */
+};
+
+/** Special decimal places constants for rtl_math_doubleToString and
+ rtl_math_doubleToUString and rtl_math_doubleToUStringBuffer.
+ */
+enum rtl_math_DecimalPlaces
+{
+ /** Value to be used with rtl_math_StringFormat_Automatic.
+ */
+ rtl_math_DecimalPlaces_Max = 0x7ffffff,
+
+ /** Value to be used with rtl_math_StringFormat_G.
+ In fact the same value as rtl_math_DecimalPlaces_Max, just an alias for
+ better understanding.
+ */
+ rtl_math_DecimalPlaces_DefaultSignificance = rtl_math_DecimalPlaces_Max
+};
+
+
+/** Conversions analogous to sprintf() using internal rounding.
+
+ +/-HUGE_VAL are converted to "INF" and "-INF", NAN values are
+ converted to "NaN".
+
+ @param pResult
+ Returns the resulting byte string. Must itself not be null, and must point
+ to either null or a valid string.
+
+ @param pResultCapacity
+ If null, pResult is considered to point to immutable strings, and a new
+ string will be allocated in pResult.
+ If non-null, it points to the current capacity of pResult, which is
+ considered to point to a string buffer (pResult must not itself be null in
+ this case, and must point to a string that has room for the given capacity).
+ The string representation of the given double value is inserted into pResult
+ at position nResultOffset. If pResult's current capacity is too small, a
+ new string buffer will be allocated in pResult as necessary, and
+ pResultCapacity will contain the new capacity on return.
+
+ @param nResultOffset
+ If pResult is used as a string buffer (i.e., pResultCapacity is non-null),
+ nResultOffset specifies the insertion offset within the buffer. Ignored
+ otherwise.
+
+ @param fValue
+ The value to convert.
+
+ @param eFormat
+ The format to use, one of rtl_math_StringFormat.
+
+ @param nDecPlaces
+ The number of decimals to be generated. Effectively fValue is rounded at
+ this position, specifying nDecPlaces <= 0 accordingly rounds the value
+ before the decimal point and fills with zeros.
+ If eFormat == rtl_math_StringFormat_Automatic and nDecPlaces ==
+ rtl_math_DecimalPlaces_Max, the highest number of significant decimals
+ possible is generated.
+ If eFormat == rtl_math_StringFormat_G, nDecPlaces specifies the number of
+ significant digits instead. If nDecPlaces ==
+ rtl_math_DecimalPlaces_DefaultSignificance, the default number (currently 6
+ as implemented by most libraries) of significant digits is generated.
+ According to the ANSI C90 standard the E style will be used only if the
+ exponent resulting from the conversion is less than -4 or greater than or
+ equal to the precision. However, as opposed to the ANSI standard, trailing
+ zeros are not necessarily removed from the fractional portion of the result
+ unless bEraseTrailingDecZeros == true was specified.
+
+ @param cDecSeparator
+ The decimal separator.
+
+ @param pGroups
+ Either null (no grouping is used), or a null-terminated list of group
+ lengths. Each group length must be strictly positive. If the number of
+ digits in a conversion exceeds the specified range, the last (highest) group
+ length is repeated as needed. Values are applied from right to left, for a
+ grouping of 1,00,00,000 you'd have to specify pGroups={3,2,0}.
+
+ @param cGroupSeparator
+ The group separator. Ignored if pGroups is null.
+
+ @param bEraseTrailingDecZeros
+ Trailing zeros in decimal places are erased.
+ */
+SAL_DLLPUBLIC void SAL_CALL 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.
+
+ +/-HUGE_VAL are converted to "INF" and "-INF", NAN values are
+ converted to "NaN".
+
+ @param pResult
+ Returns the resulting Unicode string. Must itself not be null, and must
+ point to either null or a valid string.
+
+ @param pResultCapacity
+ If null, pResult is considered to point to immutable strings, and a new
+ string will be allocated in pResult.
+ If non-null, it points to the current capacity of pResult, which is
+ considered to point to a string buffer (pResult must not itself be null in
+ this case, and must point to a string that has room for the given capacity).
+ The string representation of the given double value is inserted into pResult
+ at position nResultOffset. If pResult's current capacity is too small, a
+ new string buffer will be allocated in pResult as necessary, and
+ pResultCapacity will contain the new capacity on return.
+
+ @param nResultOffset
+ If pResult is used as a string buffer (i.e., pResultCapacity is non-null),
+ nResultOffset specifies the insertion offset within the buffer. Ignored
+ otherwise.
+
+ @param fValue
+ The value to convert.
+
+ @param eFormat
+ The format to use, one of rtl_math_StringFormat.
+
+ @param nDecPlaces
+ The number of decimals to be generated. Effectively fValue is rounded at
+ this position, specifying nDecPlaces <= 0 accordingly rounds the value
+ before the decimal point and fills with zeros.
+ If eFormat == rtl_math_StringFormat_Automatic and nDecPlaces ==
+ rtl_math_DecimalPlaces_Max, the highest number of significant decimals
+ possible is generated.
+ If eFormat == rtl_math_StringFormat_G, nDecPlaces specifies the number of
+ significant digits instead. If nDecPlaces ==
+ rtl_math_DecimalPlaces_DefaultSignificance, the default number (currently 6
+ as implemented by most libraries) of significant digits is generated.
+ According to the ANSI C90 standard the E style will be used only if the
+ exponent resulting from the conversion is less than -4 or greater than or
+ equal to the precision. However, as opposed to the ANSI standard, trailing
+ zeros are not necessarily removed from the fractional portion of the result
+ unless bEraseTrailingDecZeros == true was specified.
+
+ @param cDecSeparator
+ The decimal separator.
+
+ @param pGroups
+ Either null (no grouping is used), or a null-terminated list of group
+ lengths. Each group length must be strictly positive. If the number of
+ digits in a conversion exceeds the specified range, the last (highest) group
+ length is repeated as needed. Values are applied from right to left, for a
+ grouping of 1,00,00,000 you'd have to specify pGroups={3,2,0}.
+
+ @param cGroupSeparator
+ The group separator. Ignored if pGroups is null.
+
+ @param bEraseTrailingDecZeros
+ Trailing zeros in decimal places are erased.
+ */
+SAL_DLLPUBLIC void SAL_CALL 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();
+
+/** Conversion analogous to strtod(), convert a string representing a
+ decimal number into a double value.
+
+ Leading tabs (0x09) and spaces (0x20) are eaten. Overflow returns
+ +/-HUGE_VAL, underflow 0. In both cases pStatus is set to
+ rtl_math_ConversionStatus_OutOfRange, otherwise to
+ rtl_math_ConversionStatus_Ok. "INF", "-INF" and "+/-1.#INF" are
+ recognized as +/-HUGE_VAL, pStatus is set to
+ rtl_math_ConversionStatus_OutOfRange. "NaN" and "+/-1.#NAN" are
+ recognized and the value is set to +/-NAN, pStatus is set to
+ rtl_math_ConversionStatus_Ok.
+
+ @param pBegin
+ Points to the start of the byte string to convert. Must not be null.
+
+ @param pEnd
+ Points one past the end of the byte string to convert. The condition
+ pEnd >= pBegin must hold.
+
+ @param cDecSeparator
+ The decimal separator.
+
+ @param cGroupSeparator
+ The group (aka thousands) separator.
+
+ @param pStatus
+ If non-null, returns the status of the conversion.
+
+ @param pParsedEnd
+ If non-null, returns one past the position of the last character parsed
+ away. Thus if [pBegin..pEnd) only contains the numerical string to be
+ parsed, *pParsedEnd == pEnd on return. If no numerical (sub-)string is
+ found, *pParsedEnd == pBegin on return, even if there was leading
+ whitespace.
+ */
+SAL_DLLPUBLIC double SAL_CALL 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.
+
+ Leading tabs (U+0009) and spaces (U+0020) are eaten. Overflow returns
+ +/-HUGE_VAL, underflow 0. In both cases pStatus is set to
+ rtl_math_ConversionStatus_OutOfRange, otherwise to
+ rtl_math_ConversionStatus_Ok. "INF", "-INF" and "+/-1.#INF" are
+ recognized as +/-HUGE_VAL, pStatus is set to
+ rtl_math_ConversionStatus_OutOfRange. "NaN" and "+/-1.#NAN" are
+ recognized and the value is set to +/-NAN, pStatus is set to
+ rtl_math_ConversionStatus_Ok.
+
+ @param pBegin
+ Points to the start of the Unicode string to convert. Must not be null.
+
+ @param pEnd
+ Points one past the end of the Unicode string to convert. The condition
+ pEnd >= pBegin must hold.
+
+ @param cDecSeparator
+ The decimal separator.
+
+ @param cGroupSeparator
+ The group (aka thousands) separator.
+
+ @param pStatus
+ If non-null, returns the status of the conversion.
+
+ @param pParsedEnd
+ If non-null, returns one past the position of the last character parsed
+ away. Thus if [pBegin..pEnd) only contains the numerical string to be
+ parsed, *pParsedEnd == pEnd on return. If no numerical (sub-)string is
+ found, *pParsedEnd == pBegin on return, even if there was leading
+ whitespace.
+ */
+SAL_DLLPUBLIC double SAL_CALL 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();
+
+/** Rounds a double value.
+
+ @param fValue
+ Specifies the value to be rounded.
+
+ @param nDecPlaces
+ Specifies the decimal place where rounding occurs. Must be in the range
+ -20 to +20, inclusive. Negative if rounding occurs before the decimal
+ point.
+
+ @param eMode
+ Specifies the rounding mode.
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_round(double fValue, int nDecPlaces,
+ enum rtl_math_RoundingMode eMode)
+ SAL_THROW_EXTERN_C();
+
+/** Scales fVal to a power of 10 without calling pow() or div() for nExp values
+ between -16 and +16, providing a faster method.
+
+ @param fValue
+ The value to be raised.
+
+ @param nExp
+ The exponent.
+
+ @return
+ fVal * pow(10.0, nExp)
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_pow10Exp(double fValue, int nExp) SAL_THROW_EXTERN_C();
+
+/** Rounds value to 15 significant decimal digits.
+
+ @param fValue
+ The value to be rounded.
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_approxValue(double fValue) SAL_THROW_EXTERN_C();
+
+/** Test equality of two values with an accuracy of the magnitude of the
+ given values scaled by 2^-48 (4 bits roundoff stripped).
+
+ @attention
+ approxEqual( value!=0.0, 0.0 ) _never_ yields true.
+
+ @since LibreOffice 5.3
+ */
+SAL_DLLPUBLIC bool SAL_CALL rtl_math_approxEqual(double a, double b) SAL_THROW_EXTERN_C();
+
+/** Returns more accurate e^x-1 for x near 0 than calculating directly.
+
+ expm1 is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term e^x-1.
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_expm1(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns more accurate log(1+x) for x near 0 than calculating directly.
+
+ log1p is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term log(1+x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_log1p(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns more accurate atanh(x) for x near 0 than calculating
+ 0.5*log((1+x)/(1-x)).
+
+ atanh is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term atanh(x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_atanh(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns values of the Errorfunction erf.
+
+ erf is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term erf(x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_erf(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns values of the complement Errorfunction erfc.
+
+ erfc is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term erfc(x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_erfc(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns values of the inverse hyperbolic sine.
+
+ asinh is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term asinh(x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_asinh(double fValue) SAL_THROW_EXTERN_C();
+
+/** Returns values of the inverse hyperbolic cosine.
+
+ acosh is part of the C99 standard, but not provided by some compilers.
+
+ @param fValue
+ The value x in the term acosh(x).
+ */
+SAL_DLLPUBLIC double SAL_CALL rtl_math_acosh(double fValue) SAL_THROW_EXTERN_C();
+
+#if defined __cplusplus
+}
+#endif /* __cplusplus */
+
+#endif /* INCLUDED_RTL_MATH_H */
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */