InMath

InMath, forked from gl3n, is a mathematics library for D providing math functions useful for multimedia software.

InMath provides all the math you need to work with OpenGL and Metal.

• Linear algebra
  • Vectors
  • Matrices
    • Metal-compatible orthographic and projection matrix functions! (perspective01, orthographic01)
  • Quaternions
  • Rectangles
  • AABBs
  • Planes,
  • Frustrums
• Interpolation
  • Linear interpolation (lerp)
  • Spherical linear interpolation (slerp)
  • Hermite interpolation
  • Catmull rom interpolation
  • Cubic interpolation
• Dampening
  • Basic distance based dampening (dampen)
  • Dampened Harmonic Oscillator (smoothDamp)
• Noise
  • OpenSimplex2
• Colors
  • HSV<->RGB conversion
  • Hexstring to RGB(A) conversion
  • RGBA32<->RGBAF conversion
• No unexpected side effects
  • No unexpected casts
  • Vector multiplication is not dot product.
  • InMath uses camelCase for the naming of things
  • InMath simplifies parts of gl3n by removing excessive use of aliases.
  • InMath is usable without the GC!

Installation

You can use inmath in your project via the dub package database.

Examples

vec4 v4 = vec4(1.0f, vec3(2.0f, 3.0f, 4.0f));
vec4 v4_2 = vec4(1.0f, vec4(1.0f, 2.0f, 3.0f, 4.0f).xyz); // "dynamic" swizzling with opDispatch
vec4 v4_3 = v4_2.xxyz; // opDispatch returns a static array which you can pass directly to the ctor of a vector!

vec3 v3 = my_3dvec.rgb;
vec3 foo = v4.xyzzzwzyyxw.xyz // not useful but possible!

mat4 m4fv = mat4.translation(-0.5f, -0.54f, 0.42f).rotateX(PI).rotateZ(PI/2);
glUniformMatrix4fv(location, 1, GL_TRUE, m4fv.ptr); // yes they are row major!

alias Matrix!(double, 4, 4) mat4d;
mat4d projection;
glGetDoublev(GL_PROJECTION_MATRIX, projection.ptr);

mat3 inv_view = view.rotation;
mat3 inv_view = mat3(view);

mat4 m4 = mat4(vec4(1.0f, 2.0f, 3.0f, 4.0f), 5.0f, 6.0f, 7.0f, 8.0f, vec4(...) ...); 

    void strafeLeft(float delta) { // A
        vec3 vcross = cross(up, forward).normalized;
        _position = _position + vcross.dot(delta);
    }

    void strafeRight(float delta) { // D
        vec3 vcross = cross(up, forward).normalized;
        _position = _position - vcross.dot(delta);
    }