Узел «Векторная математика»

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Узел «Векторная математика»

The Vector Math node performs the selected math operation on the input vectors.

Входы

The inputs of the node are dynamic. Some inputs are only available in certain operations. For instance, the Scale input is only available in the Scale operator.

Вектор

Input vector \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).

Вектор

Input vector \(B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}\).

Масштаб

Input Scale \(s\).

Свойства

Операция

The vector math operator to be applied on the input vectors.

Add

The sum of A and B. \(\begin{pmatrix} A_x + B_x \\ A_y + B_y \\ A_z + B_z \end{pmatrix}\)

Вычесть

The difference between A and B. \(\begin{pmatrix} A_x - B_x \\ A_y - B_y \\ A_z - B_z \end{pmatrix}\)

Умножить

The entrywise product of A and B. \(\begin{pmatrix} A_x \cdot B_x \\ A_y \cdot B_y \\ A_z \cdot B_z \end{pmatrix}\)

Divide

The entrywise division of A by B. Division by zero results in zero. \(\begin{pmatrix} A_x / B_x \\ A_y / B_y \\ A_z / B_z \end{pmatrix}\)

Multiply Add

The entrywise combination of the multiply and addition operations. \(A * B + C\)

Вект. произведение

The cross product of A and B. \(\begin{pmatrix} A_y \cdot B_z - A_z \cdot B_y \\ A_z \cdot B_x - A_x \cdot B_z \\ A_x \cdot B_y - A_y \cdot B_x \end{pmatrix}\)

Project

The projection of A onto B.

Reflect

The reflection of A around the normal B. B need not be normalized.

Refract

For a given incident vector A, surface normal B and ratio of indices of refraction (IOR), refract outputs the refraction vector R.

Faceforward

Orients a vector A to point away from a surface B as defined by its normal C. Computes \((dot(B, C) < 0) ? A : -A\).

Скал. произведение

The dot product of A and B. \(A_x \cdot B_x + A_y \cdot B_y + A_z \cdot B_z\)

Расстояние

The distance between A and B.

Length

The length of A. \(\sqrt{A_x^2 + A_y^2 + A_z^2}\)

Масштаб

The result of multiplying A by the scalar input Scale. \(\begin{pmatrix} s \cdot A_x \\ s \cdot A_y \\ s \cdot A_z \end{pmatrix}\)

Нормализовать

The result of normalizing A. The result vector points to the same direction as A and has a length of 1. If A is (0, 0, 0), the result is (0, 0, 0) as well.

Wrap

Wrap.

Snap

The result of rounding A to the largest integer multiple of B less than or equal A.

Floor

The entrywise floor of A.

Ceil

The entrywise ceiling of A.

Modulo

The entrywise modulo of A by B.

Fraction

The fractional part of A.

Absolute

The entrywise absolute value of A.

Minimum

The entrywise minimum from A and B.

Maximum

The entrywise maximum from A and B.

Синус

The entrywise Sine of A.

Cosine

The entrywise Cosine of A.

Tangent

The entrywise Tangent of A.

Выходы

The output of the node is dynamic. It is either a vector or a scalar depending on the operator. For instance, the Length operator has a scalar output while the Add operator has a vector output.

Вектор

Output vector.

Value

Output value.