Math Utils - bibliothèque pour MetaTrader 5

double Ceil(const double v);
double Ceil(const double value, const int digits);
double Ceil(const double value, const double step);

double Floor(const double v);
double Floor(const double value, const int digits);
double Floor(const double value, const double step);

double Round(const double v);
double Round(const double value, const int digits);
double Round(const double value, const double step);

double Trunc(const double v);
double Trunc(const double value, const int digits);
double Trunc(const double value, const double step);

double RoundToSignificantDigits(const double value, int digits);
double RoundPrice(double pPrice, string pSymbol = NULL);
double RoundVolume(double pVolume, string pSymbol = NULL);

double StripError(const double value);

// Determines whether the passed value is an integer.
bool   IsInteger(double value);

// Checks if a number has a specified number of fractional digits.
bool   IsRound(double value, int digits);

// Checks if a number is a whole multiple of some increment.
bool   IsRound(double value, double step);

// Get the decimal part of x (always has the same sign as x)
double Frac(double value);

// Get number of fractional digits after the decimal point.
int    GetDigits(double value);

// Get number of integer digits to the left of decimal point.
int    GetIntegerDigits(double value);

// Get number of significant digits, excluding leading and trailing zeros.
int    GetSignificantDigits(double value);

// Convert value in range [min, max] to y in another range [destMin, destMax].
double Remap(double value, double min, double max, double destMin, double destMax)

// Remap value on a scale [min, max] to normalized scale [0, 1].
double Normalize(double value, double min, double max);

// Remap normalized value [0, 1] to a scale [destMin, destMax].
double Denormalize(double value, double destMin, double destMax)

// Clamping (limiting) a number to boundaries (range).
T      Clamp(T value, T min, T max);

// Clamping (limiting) a number to a maximum value.
T      ClampTop(T value, T max);

// Clamping (limiting) a number to a minimum value.
T      ClampBot(T value, T min);

// Wrap a value between min (inclusive) and max (exclusive).
T      Wrap(T value, T min, T max);

// Avoids zero divide error that forces the mql program to stop.
double safeDiv(double a, double b);

// Returns the exponent of the scientific notation of a number.
int    FloorLog10(double value);

// Returns pow(10, (int)power), uses fast lookup table for powers.
double GetPower10(int power);

// Computes the sign of a value as 1, 0, -1
double MathSign(double value);

// Converting numeric value into the raw hexadecimal text string.
string DoubleToHexadecimal(double value);

// Converting numeric value into the hex float constant string.
string DoubleToHexFloatConstant(double value);

// Converting numeric value into the exact decimal text string.
string DoubleToStringExact(double value);

// Converting numeric value into a string in scientific notation.
string DoubleToExponential(const double value, int digits = -1);

// Converting numeric value into the shortest round-trip string representation.
string Repr(double value);
string Repr(float value);

// Formats double with thousands separator and specified decimals.
string FormatDouble(const double number, const int digits, const string separator=",");