LinAlg

Topics
	Vec
	linalg::vec<T,M> defines a fixed-length vector containing exactly M elements of type T.
	Mat
	linalg::mat<T,M,N> defines a fixed-size matrix containing exactly M rows and N columns of type T, in column-major order.
	Identity
	Define a type which will convert to the multiplicative identity of any square matrix.
	Fold
	Produce a scalar by applying f(A,B) -> A to adjacent pairs of elements from a vec/mat in left-to-right/column-major order (matching the associativity of arithmetic and logical operators).
	Apply
	apply(f,...) applies the provided function in an elementwise fashion to its arguments, producing an object of the same dimensions.
	Comparison_ops
	Relational operators are defined to compare the elements of two vectors or matrices lexicographically, in column-major order.
	Reductions
	Functions for coalescing scalar values.
	Unary_ops
	Unary operators are defined component-wise for linalg types.
	Binary_ops
	Binary operators are defined component-wise for linalg types, EXCEPT for operator *, which does standard matrix multiplication, scalar multiplication, and component-wise multiplication for same-size vectors. Use cmul for the matrix Hadamard product.
	Swizzles
	Swizzles and subobjects.
	Unary_STL
	Component-wise standard library math functions.
	Binary_STL
	Component-wise standard library math functions. Either argument can be a vector or a scalar.
	Relational
	Component-wise relational functions on vectors. Either argument can be a vector or a scalar.
	Selection
	Component-wise selection functions on vectors. Either argument can be a vector or a scalar.
	Vec_algebra
	Support for vector algebra.
	Quaternions
	Support for quaternion algebra using 4D vectors of arbitrary length, representing xi + yj + zk + w.
	Quaternion_rotation
	Support for 3D spatial rotations using normalized quaternions.
	Mat_algebra
	Support for matrix algebra.
	Iterators
	Vectors and matrices can be used as ranges.
	Transforms
	Factory functions for 3D spatial transformations.
	Array
	Provide implicit conversion between linalg::vec<T,M> and std::array<T,M>.
	Hash
	Provide specializations for std::hash<...> with linalg types.

Typedefs
using	vec2 = la::vec<double, 2>
using	vec3 = la::vec<double, 3>
using	vec4 = la::vec<double, 4>
using	bvec4 = la::vec<bool, 4>
using	mat2 = la::mat<double, 2, 2>
using	mat3x2 = la::mat<double, 3, 2>
using	mat4x2 = la::mat<double, 4, 2>
using	mat2x3 = la::mat<double, 2, 3>
using	mat3 = la::mat<double, 3, 3>
using	mat4x3 = la::mat<double, 4, 3>
using	mat3x4 = la::mat<double, 3, 4>
using	mat4 = la::mat<double, 4, 4>
using	ivec2 = la::vec<int, 2>
using	ivec3 = la::vec<int, 3>
using	ivec4 = la::vec<int, 4>
using	quat = la::vec<double, 4>

Detailed Description