Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates 1 x {\textstyle...

may be preferable to compute the inverse square root instead. Other methods are available to compute the square root digit by digit, or using Taylor series...

original copy of the game to play it as intended. Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF...

example the model outputted the training data code implementing the fast inverse square root algorithm, including comments and an incorrect copyright notice...

calculation of these shaders, id Tech 3 implements a specific fast inverse square root function, which attracted a significant amount of attention in...

Aitken's delta-squared process Bisection method Euler method Fast inverse square root Fisher scoring Gradient descent Integer square root Kantorovich theorem...

cases of underflow. See Fast inverse square root and Methods of computing square roots#Iterative methods for reciprocal square roots As an implementation...

{\displaystyle \sigma \approx 0.043} would halve the maximum error. The fast inverse square root algorithm uses this idea, with a different correction term that...

and bit-shifting can yield an approximation to reciprocal square root (fast inverse square root), commonly required in computer graphics. ISO/IEC 10967...

value, special value to detect buffer overflows XYZZY (magic word) Fast inverse square root, an algorithm that uses the constant 0x5F3759DF Martin, Robert...

which was proved in 2017. The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions...

A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform...

first used in Enemy Territory: Quake Wars. Quake 3 popularized the fast inverse square root algorithm. Carmack's engines have also been licensed for use in...

allows for a fast approximation of the base-2 logarithm, leading to algorithms e.g. for computing the fast square-root and fast inverse-square-root. The implicit...

In linear algebra, an invertible matrix is a square matrix that has an inverse. In other words, if some other matrix is multiplied by the invertible matrix...

expensive computation (3 ** x) to be replaced by the cheaper (3 * z). Fast inverse square root Hacker's Delight Partial evaluation Steven Muchnick; Muchnick and...

function is bijective and so, invertible. The inverse function here is called the (positive) square root function and is denoted by x ↦ x {\displaystyle...

y2)1/2 Alpha max plus beta min algorithm — approximates hypot(x,y) Fast inverse square root — calculates 1 / √x using details of the IEEE floating-point system...

Bernoulli's method to find the root of greatest modulus. The inverse power method with shifts, which finds some smallest root first, is what drives the complex...

Practical examples of floating-point punning include fast inverse square root popularized by Quake III, fast FP comparison as integers, and finding neighboring...

attributes of the complex DFT, including the inverse transform, the convolution theorem, and most fast Fourier transform (FFT) algorithms, depend only...

inverse golden ratio and minus golden ratio. For n = 8, for any root of unity z + z equals to either 0, ±2, or ±√2 (D = 2). For n = 12, for any root of...

undefined behaviour. For example, passing a negative number to the fast inverse square root function will produce a number. Not a very useful number, but the...

mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of...

product), and compute the inverse transform C {\displaystyle C} of the array C ^ {\displaystyle {\widehat {C}}} , again using the root of unity g {\displaystyle...

) 2 = b {\displaystyle (b^{1/2})^{2}=b} , which is the definition of square root: b 1 / 2 = b {\displaystyle b^{1/2}={\sqrt {b}}} . The definition of...

a differentiable inverse function in a neighborhood of a point x if and only if the Jacobian determinant is nonzero at x (see inverse function theorem...

than in a square wave (proportional to the inverse square of the harmonic number as opposed to just the inverse). A triangle wave of period p that spans...

{\displaystyle \lambda (n).} If x is a kth root of unity modulo n, then x is a unit (invertible) whose inverse is x k − 1 {\displaystyle x^{k-1}} . That...

experimentally that the rate of effusion of a gas is inversely proportional to the square root of the molar mass of its particles. This formula is stated...