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MATHC is a simple math library for 2D and 3D programming.

• Vectors (2D, 3D and 4D) (integer type and floating-point type)
• Quaternions
• Matrices (2×2, 3×3, and 4×4)
• Easing functions

You can help with the development of MATHC testing the library, sending in-scope math functions, reporting errors and giving feedback.

I work little on the library nowadays, but I am always open to suggestions and contributions.

Starting on version 2, the development of MATHC uses calendar versioning, with a tagYYYY.MM.DD.MICRO for each stable release. If a release breaks backward compatibility, then it is mentioned in the release notes.

MATHC can be configured using these preprocessors:

• MATHC_NO_INT: disable implementations usingmint_t.
• MATHC_USE_INT8: definemint_t asint8_t.
• MATHC_USE_INT16: definemint_t asint16_t.
• MATHC_USE_INT32: definemint_t asint32_t. This is the default.
• MATHC_USE_INT64: definemint_t asint64_t.
• MATHC_INT_TYPE: set a custom type formint_t.
• MATHC_NO_FLOATING_POINT: disable implementations usingmfloat_t.
• MATHC_USE_SINGLE_FLOATING_POINT: definemfloat_t asfloat. This is the default.
• MATHC_USE_DOUBLE_FLOATING_POINT: definemfloat_t asdouble.
• MATHC_FLOATING_POINT_TYPE: set a custom type formfloat_t.
• MATHC_USE_UNIONS: define anonymous unions inside structures.
• MATHC_NO_POINTER_STRUCT_FUNCTIONS: don't define the functions that take pointer to structures.
• MATHC_NO_STRUCT_FUNCTIONS: don't define the functions that take structures as value.
• MATHC_NO_EASING_FUNCTIONS: don't define the easing functions.

You can define these preprocessors using the compiler's option-D or using the compiler's option-include to include a configuration header with the configuration preprocessors inside it.

Example of a configuration header that makesmint_t aint16_t,mfloat_t aGLfloat and uses the standard math functions with double floating-point precision:

#include<gl.h>#defineMATHC_USE_INT16#defineMATHC_FLOATING_POINT_TYPE GLfloat#defineMATHC_USE_DOUBLE_FLOATING_POINT

By default, vectors, quaternions and matrices can be declared as arrays ofmint_t, arrays ofmfloat_t, or structures.

By default, MATHC has functions that take as argument arrays ofmint_t, arrays ofmfloat_t, structures as value, or pointer to structures. Functions that take structure as value have a prefixs. Functions that take structure pointer have a prefixps.

The easing functions are an implementation of the functions presented ineasings.net, useful particularly for animations.

Easing functions take a value inside the range0.0-1.0 and usually will return a value inside that same range.

Creating a "look at" view matrix, useful for 3D programming:

mfloat_tposition[VEC3_SIZE];mfloat_ttarget[VEC3_SIZE];mfloat_tup[VEC3_SIZE];mfloat_tview[MAT4_SIZE];mat4_look_at(view,vec3(position,0.0,0.0,10.0),vec3(target,0.0,0.0,0.0),vec3(up,0.0,1.0,0.0));

Creating a perspective projection matrix:

mfloat_tperspective[MAT4_SIZE];mat4_perspective(perspective,to_radians(60.0),1.0,0.1,100.0);

Creating a model matrix:

mfloat_tposition[VEC3_SIZE];mfloat_tscaling[VEC3_SIZE];struct {mfloat_tposition[MAT4_SIZE];mfloat_trotation[MAT4_SIZE];mfloat_tscaling[MAT4_SIZE];mfloat_tmodel[MAT4_SIZE];}matrices;/* Position */mat4_identity(matrices.position);mat4_translation(matrices.position,vec3(position,0.0,0.0,0.0));/* Rotation */mat4_identity(matrices.rotation);mat4_rotation_x(matrices.rotation,to_radians(30.0));/* Scaling */mat4_identity(matrices.scaling);mat4_translation(matrices.scaling,vec3(scaling,1.0,1.0,1.0));/* Model matrix */mat4_multiply(matrices.model,matrices.scaling,matrices.rotation);mat4_multiply(matrices.model,matrices.position,matrices.model);

Copyright © 2018 Felipe Ferreira da Silva

This software is provided 'as-is', without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software.

Permission is granted to anyone to use this software for any purpose, including commercial applications, and to alter it and redistribute it freely, subject to the following restrictions:

1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.