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0001 // Copyright (c) 1998-1999 Matra Datavision 0002 // Copyright (c) 1999-2014 OPEN CASCADE SAS 0003 // 0004 // This file is part of Open CASCADE Technology software library. 0005 // 0006 // This library is free software; you can redistribute it and/or modify it under 0007 // the terms of the GNU Lesser General Public License version 2.1 as published 0008 // by the Free Software Foundation, with special exception defined in the file 0009 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT 0010 // distribution for complete text of the license and disclaimer of any warranty. 0011 // 0012 // Alternatively, this file may be used under the terms of Open CASCADE 0013 // commercial license or contractual agreement. 0014 0015 #ifndef _Standard_Real_HeaderFile 0016 #define _Standard_Real_HeaderFile 0017 0018 #include <cmath> 0019 #include <climits> 0020 #include <float.h> 0021 0022 #ifdef _MSC_VER 0023 #ifndef _USE_MATH_DEFINES 0024 #define _USE_MATH_DEFINES 0025 #endif 0026 #include <math.h> 0027 #endif 0028 0029 #include <Standard_TypeDef.hxx> 0030 0031 // =============================================== 0032 // Methods from Standard_Entity class which are redefined: 0033 // - Hascode 0034 // - IsEqual 0035 // =============================================== 0036 0037 // ================================== 0038 // Methods implemented in Standard_Real.cxx 0039 // ================================== 0040 0041 Standard_EXPORT Standard_Real ACos (const Standard_Real ); 0042 Standard_EXPORT Standard_Real ACosApprox (const Standard_Real ); 0043 Standard_EXPORT Standard_Real ASin (const Standard_Real ); 0044 Standard_EXPORT Standard_Real ATan2 (const Standard_Real , const Standard_Real ); 0045 Standard_EXPORT Standard_Real NextAfter (const Standard_Real , const Standard_Real ); 0046 0047 //! Returns |a| if b >= 0; -|a| if b < 0. 0048 Standard_EXPORT Standard_Real Sign(const Standard_Real a, const Standard_Real b); 0049 0050 Standard_EXPORT Standard_Real ATanh (const Standard_Real ); 0051 Standard_EXPORT Standard_Real ACosh (const Standard_Real ); 0052 Standard_EXPORT Standard_Real Sinh (const Standard_Real ); 0053 Standard_EXPORT Standard_Real Cosh (const Standard_Real ); 0054 Standard_EXPORT Standard_Real Log (const Standard_Real ); 0055 Standard_EXPORT Standard_Real Sqrt (const Standard_Real ); 0056 0057 //------------------------------------------------------------------- 0058 // RealSmall : Returns the smallest positive real 0059 //------------------------------------------------------------------- 0060 constexpr Standard_Real RealSmall() 0061 { return DBL_MIN; } 0062 0063 //------------------------------------------------------------------- 0064 // Abs : Returns the absolute value of a real 0065 //------------------------------------------------------------------- 0066 inline Standard_Real Abs(const Standard_Real Value) 0067 { return fabs(Value); } 0068 0069 0070 //------------------------------------------------------------------- 0071 // IsEqual : Returns Standard_True if two reals are equal 0072 //------------------------------------------------------------------- 0073 inline Standard_Boolean IsEqual (const Standard_Real Value1, 0074 const Standard_Real Value2) 0075 { return Abs((Value1 - Value2)) < RealSmall(); } 0076 0077 // *********************************** // 0078 // Class methods // 0079 // // 0080 // Machine-dependent values // 0081 // Should be taken from include file // 0082 // *********************************** // 0083 0084 0085 //------------------------------------------------------------------- 0086 // RealDigit : Returns the number of digits of precision in a real 0087 //------------------------------------------------------------------- 0088 constexpr Standard_Integer RealDigits() 0089 { return DBL_DIG; } 0090 0091 //------------------------------------------------------------------- 0092 // RealEpsilon : Returns the minimum positive real such that 0093 // 1.0 + x is not equal to 1.0 0094 //------------------------------------------------------------------- 0095 constexpr Standard_Real RealEpsilon() 0096 { return DBL_EPSILON; } 0097 0098 //------------------------------------------------------------------- 0099 // RealFirst : Returns the minimum negative value of a real 0100 //------------------------------------------------------------------- 0101 constexpr Standard_Real RealFirst() 0102 { return -DBL_MAX; } 0103 0104 //------------------------------------------------------------------- 0105 // RealFirst10Exp : Returns the minimum value of exponent(base 10) of 0106 // a real. 0107 //------------------------------------------------------------------- 0108 constexpr Standard_Integer RealFirst10Exp() 0109 { return DBL_MIN_10_EXP; } 0110 0111 //------------------------------------------------------------------- 0112 // RealLast : Returns the maximum value of a real 0113 //------------------------------------------------------------------- 0114 constexpr Standard_Real RealLast() 0115 { return DBL_MAX; } 0116 0117 //------------------------------------------------------------------- 0118 // RealLast10Exp : Returns the maximum value of exponent(base 10) of 0119 // a real. 0120 //------------------------------------------------------------------- 0121 constexpr Standard_Integer RealLast10Exp() 0122 { return DBL_MAX_10_EXP; } 0123 0124 //------------------------------------------------------------------- 0125 // RealMantissa : Returns the size in bits of the matissa part of a 0126 // real. 0127 //------------------------------------------------------------------- 0128 constexpr Standard_Integer RealMantissa() 0129 { return DBL_MANT_DIG; } 0130 0131 //------------------------------------------------------------------- 0132 // RealRadix : Returns the radix of exponent representation 0133 //------------------------------------------------------------------- 0134 constexpr Standard_Integer RealRadix() 0135 { return FLT_RADIX; } 0136 0137 //------------------------------------------------------------------- 0138 // RealSize : Returns the size in bits of an integer 0139 //------------------------------------------------------------------- 0140 constexpr Standard_Integer RealSize() 0141 { return CHAR_BIT * sizeof(Standard_Real); } 0142 0143 0144 0145 //=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=// 0146 // End of machine-dependent values // 0147 //=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=// 0148 0149 0150 //------------------------------------------------------------------- 0151 // IntToReal : Converts an integer in a real 0152 //------------------------------------------------------------------- 0153 inline Standard_Real IntToReal(const Standard_Integer Value) 0154 { return Value; } 0155 0156 //------------------------------------------------------------------- 0157 // ATan : Returns the value of the arc tangent of a real 0158 //------------------------------------------------------------------- 0159 inline Standard_Real ATan(const Standard_Real Value) 0160 { return atan(Value); } 0161 0162 0163 //------------------------------------------------------------------- 0164 // Ceiling : Returns the smallest integer not less than a real 0165 //------------------------------------------------------------------- 0166 inline Standard_Real Ceiling (const Standard_Real Value) 0167 { return ceil(Value); } 0168 0169 //------------------------------------------------------------------- 0170 // Cos : Returns the cosine of a real 0171 //------------------------------------------------------------------- 0172 inline Standard_Real Cos (const Standard_Real Value) 0173 { return cos(Value); } 0174 0175 0176 //------------------------------------------------------------------- 0177 // Epsilon : The function returns absolute value of difference 0178 // between 'Value' and other nearest value of 0179 // Standard_Real type. 0180 // Nearest value is chosen in direction of infinity 0181 // the same sign as 'Value'. 0182 // If 'Value' is 0 then returns minimal positive value 0183 // of Standard_Real type. 0184 //------------------------------------------------------------------- 0185 inline Standard_Real Epsilon (const Standard_Real Value) 0186 { 0187 Standard_Real aEpsilon; 0188 0189 if (Value>=0.0){ 0190 aEpsilon = NextAfter(Value, RealLast()) - Value; 0191 } else { 0192 aEpsilon = Value - NextAfter(Value, RealFirst()); 0193 } 0194 return aEpsilon; 0195 } 0196 0197 //------------------------------------------------------------------- 0198 // Exp : Returns the exponential function of a real 0199 //------------------------------------------------------------------- 0200 inline Standard_Real Exp (const Standard_Real Value) 0201 { return exp(Value); } 0202 0203 //------------------------------------------------------------------- 0204 // Floor : Return the largest integer not greater than a real 0205 //------------------------------------------------------------------- 0206 inline Standard_Real Floor (const Standard_Real Value) 0207 { return floor(Value); } 0208 0209 //------------------------------------------------------------------- 0210 // IntegerPart : Returns the integer part of a real 0211 //------------------------------------------------------------------- 0212 inline Standard_Real IntegerPart (const Standard_Real Value) 0213 { return ( (Value>0) ? floor(Value) : ceil(Value) ); } 0214 0215 0216 //------------------------------------------------------------------- 0217 // Log10 : Returns the base-10 logarithm of a real 0218 //------------------------------------------------------------------- 0219 inline Standard_Real Log10 (const Standard_Real Value) 0220 { return log10(Value); } 0221 0222 //------------------------------------------------------------------- 0223 // Max : Returns the maximum value of two reals 0224 //------------------------------------------------------------------- 0225 inline Standard_Real Max (const Standard_Real Val1, 0226 const Standard_Real Val2) 0227 { 0228 return Val1 >= Val2 ? Val1 : Val2; 0229 } 0230 0231 //------------------------------------------------------------------- 0232 // Min : Returns the minimum value of two reals 0233 //------------------------------------------------------------------- 0234 inline Standard_Real Min (const Standard_Real Val1, 0235 const Standard_Real Val2) 0236 { 0237 return Val1 <= Val2 ? Val1 : Val2; 0238 } 0239 0240 //------------------------------------------------------------------- 0241 // Pow : Returns a real to a given power 0242 //------------------------------------------------------------------- 0243 inline Standard_Real Pow (const Standard_Real Value, const Standard_Real P) 0244 { return pow(Value,P); } 0245 0246 //------------------------------------------------------------------- 0247 // RealPart : Returns the fractional part of a real. 0248 //------------------------------------------------------------------- 0249 inline Standard_Real RealPart (const Standard_Real Value) 0250 { return fabs(IntegerPart(Value) - Value); } 0251 0252 //------------------------------------------------------------------- 0253 // RealToInt : Returns the real converted to nearest valid integer. 0254 // If input value is out of valid range for integers, 0255 // minimal or maximal possible integer is returned. 0256 //------------------------------------------------------------------- 0257 inline Standard_Integer RealToInt (const Standard_Real theValue) 0258 { 0259 // Note that on WNT under MS VC++ 8.0 conversion of double value less 0260 // than INT_MIN or greater than INT_MAX to integer will cause signal 0261 // "Floating point multiple trap" (OCC17861) 0262 return theValue < static_cast<Standard_Real>(INT_MIN) 0263 ? static_cast<Standard_Integer>(INT_MIN) 0264 : (theValue > static_cast<Standard_Real>(INT_MAX) 0265 ? static_cast<Standard_Integer>(INT_MAX) 0266 : static_cast<Standard_Integer>(theValue)); 0267 } 0268 0269 // ======================================================================= 0270 // function : RealToShortReal 0271 // purpose : Converts Standard_Real value to the nearest valid 0272 // Standard_ShortReal. If input value is out of valid range 0273 // for Standard_ShortReal, minimal or maximal 0274 // Standard_ShortReal is returned. 0275 // ======================================================================= 0276 inline Standard_ShortReal RealToShortReal (const Standard_Real theVal) 0277 { 0278 return theVal < -FLT_MAX ? -FLT_MAX 0279 : theVal > FLT_MAX ? FLT_MAX 0280 : (Standard_ShortReal)theVal; 0281 } 0282 0283 //------------------------------------------------------------------- 0284 // Round : Returns the nearest integer of a real 0285 //------------------------------------------------------------------- 0286 inline Standard_Real Round (const Standard_Real Value) 0287 { return IntegerPart(Value + (Value > 0 ? 0.5 : -0.5)); } 0288 0289 //------------------------------------------------------------------- 0290 // Sin : Returns the sine of a real 0291 //------------------------------------------------------------------- 0292 inline Standard_Real Sin (const Standard_Real Value) 0293 { return sin(Value); } 0294 0295 0296 //------------------------------------------------------------------- 0297 // ASinh : Returns the hyperbolic arc sine of a real 0298 //------------------------------------------------------------------- 0299 inline Standard_Real ASinh(const Standard_Real Value) 0300 #if defined(__QNX__) 0301 { return std::asinh(Value); } 0302 #else 0303 { return asinh(Value); } 0304 #endif 0305 0306 //------------------------------------------------------------------- 0307 // Square : Returns a real to the power 2 0308 //------------------------------------------------------------------- 0309 inline Standard_Real Square(const Standard_Real Value) 0310 { return Value * Value; } 0311 0312 //------------------------------------------------------------------- 0313 // Tan : Returns the tangent of a real 0314 //------------------------------------------------------------------- 0315 inline Standard_Real Tan (const Standard_Real Value) 0316 { return tan(Value); } 0317 0318 //------------------------------------------------------------------- 0319 // Tanh : Returns the hyperbolic tangent of a real 0320 //------------------------------------------------------------------- 0321 inline Standard_Real Tanh (const Standard_Real Value) 0322 { return tanh(Value); } 0323 0324 #endif
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