org.soulspace.qclojure.domain.math.fastmath.backend — org.soulspace/qclojure 0.16.0-SNAPSHOT

Backend for linear algebra operations for complex numbers using the FastMath library.

This namespace provides an implementation of the matrix algebra protocols defined in org.soulspace.qclojure.domain.math.protocols using the FastMath library for complex number support. It includes conversion utilities between QClojure's internal representations and FastMath's representations, as well as implementations of matrix operations, decompositions, and functions.

FastMath Complex Backend:

• Conversion between QClojure and FastMath representations
• Matrix algebra operations (addition, multiplication, inversion, etc.)
• Matrix decompositions (eigenvalue, SVD, LU, QR, Cholesky)
• Matrix functions (exponential, logarithm, square root)
• Matrix analysis (spectral norm, condition number)

complex-map->vec2 clj

(complex-map->vec2 c)

Convert complex map to FastMath Vec2 representation.

complex-matrix? clj

(complex-matrix? m)

Test if m represents a complex matrix.

complex-scalar? clj

(complex-scalar? x)

Test if x represents a complex scalar (Vec2 or complex map).

complex-vector? clj

(complex-vector? v)

Test if v represents a complex vector.

complex? clj

(complex? x)

Test if x is a FastMath Vec2 complex number.

default-tolerance clj

ensure-complex clj

(ensure-complex x)

Ensure input is a complex number.

tolerance* clj

(tolerance* backend)

vec2->complex-map clj

(vec2->complex-map v)

Convert FastMath Vec2 to complex map representation.