math.cpp File Reference

Namespaces
namespace	hmap

Functions
Array	hmap::abs (const Array &array)
	Return the absolute value of the array elements.
Array	hmap::abs_smooth (const Array &array, float mu)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::abs_smooth (const Array &array, float mu, float vshift)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::abs_smooth (const Array &array, float mu, const Array &vshift)
	Return the smooth absolute value of the array elements.
float	hmap::abs_smooth (float a, float mu)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::almost_unit_identity (const Array &array)
	Return the almost unit identity function.
float	hmap::almost_unit_identity (float x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::almost_unit_identity_c2 (float x)
	Return the almost unit identity function (with a second-order derivative equals 0 at x = 1 also to avoid discontinuities in some cases)
Array	hmap::atan (const Array &array)
	Return the arctan of the array elements.
Array	hmap::atan2 (const Array &y, const Array &x)
	Computes the element-wise arctangent of two arrays, considering the signs of both inputs.
Array	hmap::cos (const Array &array)
	Return the cosine of the array elements.
Array	hmap::exp (const Array &array)
	Return the exponantial of the array elements.
float	hmap::gain (float x, float factor)
Array	hmap::gaussian_decay (const Array &array, float sigma)
	Return the Gaussian of the array elements.
Array	hmap::hypot (const Array &array1, const Array &array2)
Array	hmap::lerp (const Array &array1, const Array &array2, const Array &t)
	Return the linear interpolation between two arrays by a parameter t.
Array	hmap::lerp (const Array &array1, const Array &array2, float t)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::lerp (float a, float b, float t)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::log10 (const Array &array)
	Return the log10 of the array elements.
Array	hmap::pow (const Array &array, float exp)
	Return the array elements raised to the power 'exp'.
void	hmap::radial_displacement_to_xy (const Array &dr, Array &dx, Array &dy, float smoothing=1.f, Vec2< float > center={0.5f, 0.5f}, Vec4< float > bbox={0.f, 1.f, 0.f, 1.f})
	Interpret the input array dr as a radial displacement and convert it to a pair of displacements dx and dy in cartesian coordinates.
Array	hmap::sin (const Array &array)
	Return the sine of the array elements.
Array	hmap::smoothstep3 (const Array &array, float vmin=0.f, float vmax=1.f)
	Return the 3rd order smoothstep function of the array elements.
float	hmap::smoothstep3 (float x)
	Return the 3rd order smoothstep function.
float	hmap::smoothstep3_lower (float x)
	Return the 3rd order smoothstep function, with zero derivative only at 0.
Array	hmap::smoothstep3_lower (const Array &x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::smoothstep3_upper (float x)
	Return the 3rd order smoothstep function, with zero derivative only at 1.
Array	hmap::smoothstep3_upper (const Array &x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::smoothstep5 (const Array &array, float vmin=0.f, float vmax=1.f)
	Return the 5rd order smoothstep function of the array elements.
Array	hmap::smoothstep5 (const Array &array, const Array &vmin, const Array &vmax)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::smoothstep5 (float x)
	Return the 5rd order smoothstep function.
float	hmap::smoothstep5_lower (float x)
	Return the 5rd order smoothstep function, with zero derivative only at 0.
Array	hmap::smoothstep5_lower (const Array &x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::smoothstep5_upper (float x)
	Return the 5rd order smoothstep function, with zero derivative only at 1.
Array	hmap::smoothstep5_upper (const Array &x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
float	hmap::smoothstep7 (float x)
	Return the 7th order smoothstep function.
Array	hmap::smoothstep7 (const Array &x)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
Array	hmap::sqrt (const Array &array)
	Return the square root of the array elements.
Array	hmap::sqrt_safe (const Array &array)