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Vector4

Chuck Walbourn edited this page Nov 3, 2015 · 14 revisions

Four component vector class modeled after the XNA Game Studio math library.

Header

#include <SimpleMath.h>

Initialization

using namespace DirectX::SimpleMath;

Vector4 v;             // Creates a vector [0, 0, 0, 0]
Vector4 v(10);         // Creates a vector [10, 10, 10, 10]
Vector4 v(1, 2, 3, 4); // Creates a vector [1, 2, 3, 4]

float arr[4] = { 1, 2, 3, 4 };
Vector4 v(arr);        // Creates a vector [1, 2, 3, 4]

Fields

  • x component of vector
  • y component of vector
  • z component of vector
  • w component of vector

Methods

  • Comparison operators: == and !=
  • Assignment operators: =, +=, -=, *=, /=
  • Unary operators: +, -
  • Binary operators: +, -, *, /
  • InBounds: Tests if the vector is within the bounds set by the positive and negative of the input bounds.
  • Length
  • LengthSquared
  • Dot
  • Cross
  • Normalize
  • Clamp

Statics

  • Distance
  • DistanceSquared
  • Min
  • Max
  • Lerp: Performs a linear interpolation
  • SmoothStep: Performs a cube interpolation
  • Barycentric: Returns a point in Barycentric coordinates
  • CatmullRom: Performs a Catmull-Rom interpolation
  • Hermite: Performs a Hermite spline interpolation
  • Reflect: Reflects an incident vector across a normal vector
  • Refract: Refracts an incident vector across a normal vector
  • Transform
  • TransformNormal: Transforms the vector by the rotation and scale in the matrix, ignoring translation (row 3).

Constants

  • Zero: Zero vector [0, 0, 0, 0]
  • One: One vector [1, 1, 1, 1]
  • UnitX: Unit X vector [1, 0, 0, 0]
  • UnitY: Unit Y vector [0, 1, 0, 0]
  • UnitZ: Unit Z vector [0, 0, 1, 0]
  • UnitW: Unit W vector [0, 0, 0, 1]

Remark

Vector4 can freely convert to and from a XMFLOAT4 and XMVECTOR

When assigning a color from DirectXColors.h to a Vector4, use the .v union element

Vector4 color = Colors::White.v;

For Use

  • Universal Windows Platform apps
  • Windows desktop apps
  • Windows 11
  • Windows 10
  • Windows 8.1
  • Xbox One

Architecture

  • x86
  • x64
  • ARM64

For Development

  • Visual Studio 2022
  • Visual Studio 2019 (16.11)
  • clang/LLVM v12 - v19
  • MinGW 12.2, 13.2
  • CMake 3.20

Related Projects

DirectX Tool Kit for DirectX 12

DirectXMesh

DirectXTex

DirectXMath

Win2D

Tools

Test Suite

Model Viewer

Content Exporter

DxCapsViewer

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