BLAS Interface for Racket

Go back

The math/blas library (git://github.com/kazh98/blas package) provides BLAS interfaces for Racket using a libcblas or libgslcblas FFI. To install math/blas library, enter the following command in terminal.

% raco pkg install github://github.com/kazh98/blas/master

If your operating system isn't MacOS X, you are required to install GNU Scientific Library in your computer to use this library.

; [PROCEDURE] exact-nonnegative-integer? -> vect?
(make-vect len)
 
; [PROCEDURE] real? ... -> vect?
(vect val ...)
 
; [PROCEDURE] any/c -> boolean?
(vect? v)
 
; [PROCEDURE] vect? -> exact-nonnegative-integer?
(vect-length vec)
 
; [PROCEDURE] vect? exact-nonnegative-integer? -> real?
(vect-ref vec k)
 
; [PROCEDURE] vect? exact-nonnegative-integer? real? -> void?
(vect-set! vec k val)
 
; [PROCEDURE] (listof real?) -> vect?
(list->vect lst)
 
; [PROCEDURE] vect? -> (listof real?)
(vect->list vec)

They are like make-vector, etc.

; [PROCEDURE] vect? vect? -> void?
(SWAP x y)

$x\in\mathbb{R}^n,y\in\mathbb{R}^n,$
$$x \leftrightarrow y.$$

; [PROCEDURE] real? vect? -> void?
(SCAL a x)

$a\in\mathbb{R},x\in\mathbb{R}^n,$
$$x \leftarrow ax.$$

; [PROCEDURE] vect? vect? -> void?
(COPY x y)

$x\in\mathbb{R}^n,y\in\mathbb{R}^n,$
$$y \leftarrow x.$$

; [PROCEDURE] real? vect? vect? -> void?
(AXPY a x y)

$a\in\mathbb{R},x\in\mathbb{R}^n,y\in\mathbb{R}^n,$
$$y \leftarrow ax+y.$$

; [PROCEDURE] vect? vect? -> real?
(DOT_ x y)

$x\in\mathbb{R}^n,y\in\mathbb{R}^n,$
$$\langle x,y \rangle=\sum_{i=1}^nx_iy_i.$$

; [PROCEDURE] vect? -> (and/c real? (not/c negative?))
(NRM2 x)

$x\in\mathbb{R}^n,$
$$\|x\|_2=\sqrt{\langle x,x \rangle}.$$

; [PROCEDURE] vect? -> (and/c real? (not/c negative?))
(ASUM x)

$x\in\mathbb{R}^n,$
$$\|x\|_1=\sum_{i=1}^n\left|x_i\right|.$$

; [PROCEDURE] vect? -> exact-nonnegative-integer?
(IAMX x)

$x\in\mathbb{R}^n,$
$$k\in\mathbb{N}:\left|x_k\right|\ge{}\left|x_i\right|\hspace{1em}(\forall{}i\in\mathbb{Z}:0\le{}i<n).$$

1. Numerical Algorithms Group Ltd.: Basic Linear Algebra Subprograms: A Quick Reference Guide. Oak Ridge National Laboratory, University of Tennessee: (1997).