|
| template<typename T > |
| T | om::math::pi () |
| |
| template<typename T > |
| T | om::math::e () |
| |
| template<typename T > |
| T | om::math::nan () |
| | Return the Not-A-Number representation for the templated type, or zero if it has none. More...
|
| |
| template<typename T > |
| T | om::math::infinity () |
| | Return the Infinity representation for the templated type, or the maximum value if it has none. More...
|
| |
| template<typename T > |
| T | om::math::negativeInfinity () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<> |
| unsigned char | om::math::negativeInfinity< unsigned char > () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<> |
| unsigned short | om::math::negativeInfinity< unsigned short > () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<> |
| unsigned int | om::math::negativeInfinity< unsigned int > () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<> |
| unsigned long | om::math::negativeInfinity< unsigned long > () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<> |
| unsigned long long | om::math::negativeInfinity< unsigned long long > () |
| | Return the Negative Infinity representation for the templated type, or the minimum value if it has none. More...
|
| |
| template<typename T > |
| T | om::math::max () |
| | Return the maximum allowable finite value for the template parameter type. More...
|
| |
| template<typename T > |
| T | om::math::min () |
| | Return the minimum allowable finite value for the template parameter type. More...
|
| |
| template<> |
| float | om::math::min< float > () |
| | Return the minimum allowable finite value for the template parameter type. More...
|
| |
| template<> |
| double | om::math::min< double > () |
| | Return the minimum allowable finite value for the template parameter type. More...
|
| |
| template<typename T > |
| T | om::math::minPositive () |
| | Return the smallest normalized positive value for the template parameter type. More...
|
| |
| template<typename T > |
| T | om::math::epsilon () |
| | Return the smallest deviation from the value 1 that the templated type can represent. More...
|
| |
| template<> |
| float | om::math::epsilon () |
| | Return the smallest deviation from the value 1 that a float can represent. More...
|
| |
| template<> |
| double | om::math::epsilon () |
| | Return the smallest deviation from the value 1 that a double can represent. More...
|
| |
| template<typename T > |
| bool | om::math::isInfinity (T number) |
| | Return whether a number is equal to the representation of Infinity for its type. More...
|
| |
| template<typename T > |
| bool | om::math::isNegativeInfinity (T number) |
| | Return whether a number is equal to the representation of Negative Infinity for its type. More...
|
| |
| template<> |
| bool | om::math::isNegativeInfinity (unsigned char number) |
| |
| template<> |
| bool | om::math::isNegativeInfinity (unsigned short number) |
| |
| template<> |
| bool | om::math::isNegativeInfinity (unsigned int number) |
| |
| template<> |
| bool | om::math::isNegativeInfinity (unsigned long number) |
| |
| template<> |
| bool | om::math::isNegativeInfinity (unsigned long long number) |
| |
| template<typename T > |
| bool | om::math::isInfinite (T number) |
| | Return whether a number is equal to Negative or Positive Infinity for its type. More...
|
| |
| template<typename T > |
| bool | om::math::isFinite (T number) |
| | Return whether a number is finite. More...
|
| |
| template<typename T > |
| bool | om::math::isNAN (T number) |
| | Return whether or not the specified number is Not-A-Number. More...
|
| |
| template<> |
| bool | om::math::isNAN (float number) |
| |
| template<> |
| bool | om::math::isNAN (double number) |
| |
| template<typename T > |
| bool | om::math::isInteger () |
| |
| template<> |
| bool | om::math::isInteger< char > () |
| |
| template<> |
| bool | om::math::isInteger< unsigned char > () |
| |
| template<> |
| bool | om::math::isInteger< short > () |
| |
| template<> |
| bool | om::math::isInteger< unsigned short > () |
| |
| template<> |
| bool | om::math::isInteger< int > () |
| |
| template<> |
| bool | om::math::isInteger< unsigned int > () |
| |
| template<> |
| bool | om::math::isInteger< long > () |
| |
| template<> |
| bool | om::math::isInteger< unsigned long > () |
| |
| template<> |
| bool | om::math::isInteger< long long > () |
| |
| template<> |
| bool | om::math::isInteger< unsigned long long > () |
| |
| template<typename T > |
| bool | om::math::isInteger (T number) |
| |
| template<typename T > |
| bool | om::math::isFloatingPoint () |
| |
| template<> |
| bool | om::math::isFloatingPoint< float > () |
| |
| template<> |
| bool | om::math::isFloatingPoint< double > () |
| |
| template<typename T > |
| bool | om::math::isFloatingPoint (T number) |
| |
| template<typename T > |
| T | om::math::abs (T number) |
| | Return the absolute value of the specified number, such that the result is positive. More...
|
| |
| template<> |
| float | om::math::abs (float number) |
| |
| template<> |
| double | om::math::abs (double number) |
| |
| template<> |
| unsigned char | om::math::abs (unsigned char value) |
| |
| template<> |
| unsigned short | om::math::abs (unsigned short value) |
| |
| template<> |
| unsigned int | om::math::abs (unsigned int value) |
| |
| template<> |
| unsigned long | om::math::abs (unsigned long value) |
| |
| template<> |
| unsigned long long | om::math::abs (unsigned long long value) |
| |
| template<typename T > |
| T | om::math::sign (T number) |
| | Return -1 if the number is less than zero, 0 if it is zero, and 1 otherwise. More...
|
| |
| template<> |
| unsigned char | om::math::sign (unsigned char value) |
| |
| template<> |
| unsigned short | om::math::sign (unsigned short value) |
| |
| template<> |
| unsigned int | om::math::sign (unsigned int value) |
| |
| template<> |
| unsigned long | om::math::sign (unsigned long value) |
| |
| template<> |
| unsigned long long | om::math::sign (unsigned long long value) |
| |
| template<typename T > |
| bool | om::math::equals (T value1, T value2) |
| |
| template<> |
| bool | om::math::equals (float value1, float value2) |
| |
| template<> |
| bool | om::math::equals (double value1, double value2) |
| |
| template<typename T > |
| bool | om::math::fuzzyEquals (T value1, T value2, T epsilon) |
| |
| template<typename T > |
| bool | om::math::isZero (T value, T epsilon) |
| |
| template<typename T > |
| bool | om::math::isZero (T value) |
| |
| template<> |
| bool | om::math::isZero (float value) |
| |
| template<> |
| bool | om::math::isZero (double value) |
| |
| template<typename T > |
| T | om::math::average (T value1, T value2) |
| |
| template<> |
| float | om::math::average (float value1, float value2) |
| |
| template<> |
| double | om::math::average (double value1, double value2) |
| |
| template<typename T > |
| T | om::math::max (T value1, T value2) |
| | Return the larger of two numbers. More...
|
| |
| template<typename T > |
| T | om::math::min (T value1, T value2) |
| | Return the smaller of two numbers. More...
|
| |
| template<typename T > |
| T | om::math::clamp (T number, T minimum, T maximum) |
| | Return the result when the a number is constrainted to the interval [minimum, maximum]. More...
|
| |
| template<typename T > |
| T | om::math::floor (T number) |
| | Return the largest whole number smaller than the number parameter, as the same type. More...
|
| |
| template<> |
| float | om::math::floor (float number) |
| |
| template<> |
| double | om::math::floor (double number) |
| |
| template<typename T > |
| T | om::math::ceiling (T number) |
| |
| template<> |
| float | om::math::ceiling (float number) |
| |
| template<> |
| double | om::math::ceiling (double number) |
| |
| template<typename T > |
| T | om::math::round (T value) |
| |
| template<> |
| float | om::math::round (float value) |
| |
| template<> |
| double | om::math::round (double value) |
| |
| template<typename T > |
| T | om::math::detail::recursiveSquareRoot (T n, T x1) |
| |
| template<typename T > |
| T | om::math::sqrti (T value) |
| |
| template<typename T > |
| T | om::math::sqrt (T value) |
| |
| template<> |
| float | om::math::sqrt (float value) |
| |
| template<> |
| double | om::math::sqrt (double value) |
| |
| template<typename T > |
| T | om::math::previousMultiple (T number, T base) |
| | Get the previous multiple of a base that is less than or equal to a specified number. More...
|
| |
| template<typename T > |
| T | om::math::nextMultiple (T number, T base) |
| | Get the next multiple of a base that is greater than or equal to a specified number. More...
|
| |
| template<typename T > |
| T | om::math::nearestMultiple (T number, T base) |
| | Get the multiple of a base that the closest to a specified number. More...
|
| |
| template<typename T > |
| T | om::math::nextPowerOfTwo (T x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| char | om::math::nextPowerOfTwo (char x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| unsigned char | om::math::nextPowerOfTwo (unsigned char x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| short | om::math::nextPowerOfTwo (short x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| unsigned short | om::math::nextPowerOfTwo (unsigned short x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| int | om::math::nextPowerOfTwo (int x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| unsigned int | om::math::nextPowerOfTwo (unsigned int x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| long | om::math::nextPowerOfTwo (long x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| unsigned long | om::math::nextPowerOfTwo (unsigned long x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| long long | om::math::nextPowerOfTwo (long long x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<> |
| unsigned long long | om::math::nextPowerOfTwo (unsigned long long x) |
| | Return the first power of two larger than the specified number. More...
|
| |
| template<typename T > |
| Bool | om::math::isPowerOfTwo (T number) |
| | Return whether or not the specified number is a power of 2. More...
|
| |
| template<typename T > |
| bool | om::math::detail::multWillOverflow (T a, T b) |
| |
| template<typename T > |
| bool | om::math::detail::unsignedMultWillOverflow (T a, T b) |
| |
| template<typename IntegerType > |
| IntegerType | om::math::detail::integerPower (IntegerType base, IntegerType power) |
| |
| template<typename IntegerType > |
| IntegerType | om::math::detail::unsignedIntegerPower (IntegerType base, IntegerType power) |
| |
| template<typename T , typename U > |
| T | om::math::pow (T base, U power) |
| |
| template<> |
| char | om::math::pow (char base, char power) |
| |
| template<> |
| unsigned char | om::math::pow (unsigned char base, unsigned char power) |
| |
| template<> |
| short | om::math::pow (short base, short power) |
| |
| template<> |
| unsigned short | om::math::pow (unsigned short base, unsigned short power) |
| |
| template<> |
| int | om::math::pow (int base, int power) |
| |
| template<> |
| unsigned int | om::math::pow (unsigned int base, unsigned int power) |
| |
| template<> |
| long | om::math::pow (long base, long power) |
| |
| template<> |
| unsigned long | om::math::pow (unsigned long base, unsigned long power) |
| |
| template<> |
| long long | om::math::pow (long long base, long long power) |
| |
| template<> |
| unsigned long long | om::math::pow (unsigned long long base, unsigned long long power) |
| |
| template<typename T > |
| T | om::math::square (T value) |
| |
| template<typename T > |
| T | om::math::ln (T value) |
| |
| template<typename T > |
| T | om::math::log10 (T value) |
| |
| template<typename T , T base> |
| T | om::math::detail::intLog (T value) |
| |
| template<> |
| short | om::math::log10 (short value) |
| |
| template<> |
| unsigned short | om::math::log10 (unsigned short value) |
| |
| template<> |
| int | om::math::log10 (int value) |
| |
| template<> |
| unsigned int | om::math::log10 (unsigned int value) |
| |
| template<> |
| long | om::math::log10 (long value) |
| |
| template<> |
| unsigned long | om::math::log10 (unsigned long value) |
| |
| template<> |
| long long | om::math::log10 (long long value) |
| |
| template<> |
| unsigned long long | om::math::log10 (unsigned long long value) |
| |
| template<typename T > |
| T | om::math::log (T value, T base) |
| |
| template<> |
| float | om::math::log (float value, float base) |
| |
| template<typename T > |
| T | om::math::log2 (T value) |
| |
| template<> |
| float | om::math::log2 (float value) |
| |
| template<> |
| double | om::math::log2 (double value) |
| |
| template<typename T > |
| T | om::math::bitCount (T bits) |
| |
| template<> |
| UInt32 | om::math::bitCount (UInt32 bits) |
| |
| template<> |
| UInt64 | om::math::bitCount (UInt64 bits) |
| |
| template<typename T > |
| T | om::math::firstSetBit (T bits) |
| |
| template<> |
| UInt32 | om::math::firstSetBit (UInt32 bits) |
| |
| template<> |
| UInt64 | om::math::firstSetBit (UInt64 bits) |
| |
| template<typename T > |
| T | om::math::lastSetBit (T bits) |
| |
| template<> |
| UInt32 | om::math::lastSetBit (UInt32 bits) |
| |
| template<> |
| UInt64 | om::math::lastSetBit (UInt64 bits) |
| |
| template<typename T > |
| T | om::math::mod (T value, T divisor) |
| | Compute the remainder when the specified value is divided by the given divisor. More...
|
| |
| template<> |
| float | om::math::mod (float value, float divisor) |
| | Compute the remainder when the specified value is divided by the given divisor. More...
|
| |
| template<> |
| double | om::math::mod (double value, double divisor) |
| | Compute the remainder when the specified value is divided by the given divisor. More...
|
| |
| float | om::math::radiansToDegrees (float number) |
| |
| double | om::math::radiansToDegrees (double number) |
| |
| float | om::math::degreesToRadians (float number) |
| |
| double | om::math::degreesToRadians (double number) |
| |
| template<typename T > |
| T | om::math::linearToDB (T linear) |
| | Convert the specfied linear ratio to a logarithmic ratio in decibels. More...
|
| |
| template<typename T > |
| T | om::math::dbToLinear (T db) |
| | Convert the specfied logarithmic ratio in decibels to a linear ratio. More...
|
| |
| template<typename T > |
| T | om::math::sec (T value) |
| | Compute and return the secant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::csc (T value) |
| | Compute and return the cosecant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::cot (T value) |
| | Compute and return the cotangent of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::sech (T value) |
| | Compute and return the secant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::csch (T value) |
| | Compute and return the cosecant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::coth (T value) |
| | Compute and return the cotangent of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::asinh (T value) |
| | Compute and return the inverse hyperbolic sine of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::acosh (T value) |
| | Compute and return the inverse hyperbolic cosine of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::atanh (T value) |
| | Compute and return the inverse hyperbolic tangent of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::asech (T value) |
| | Compute and return the inverse hyperbolic secant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::acsch (T value) |
| | Compute and return the inverse hyperbolic cosecant of the specified value. More...
|
| |
| template<typename T > |
| T | om::math::acoth (T value) |
| | Compute and return the inverse hyperbolic cotangent of the specified value. More...
|
| |
1.8.11