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#include <u.h>
#include <libn.h>
#include <libmath.h>
/* TODO: replace (incrementally) with native C version! */
#include <vendor/blas/cblas.h>
#include <vendor/blas/lapacke.h>
// -----------------------------------------------------------------------
// level 1
error
la·vecslice(math·Vector *x, int min, int max, int inc)
{
if (max > x->len || min < 0) {
errorf("out of bounds: attempted to access vector past length");
return 1;
}
x->len = (max - min) / inc;
x->d += x->inc * min;
x->inc *= inc;
return 0;
}
/* simple blas wrappers */
void
la·veccopy(math·Vector *dst, math·Vector *src)
{
return cblas_dcopy(src->len, src->d, src->inc, dst->d, dst->inc);
}
double
la·vecnorm(math·Vector *x)
{
return cblas_dnrm2(x->len, x->d, x->inc);
}
void
la·vecscale(math·Vector *x, double a)
{
return cblas_dscal(x->len, a, x->d, x->inc);
}
double
la·vecdot(math·Vector *x, math·Vector *y)
{
return cblas_ddot(x->len, x->d, x->inc, y->d, y->inc);
}
// -----------------------------------------------------------------------
// level 2
error
la·vecmat(math·Vector *x, math·Matrix *M)
{
if (M->dim[1] != x->len) {
errorf("incompatible matrix dimensions");
return 1;
}
if (M->state & ~mat·trans)
cblas_dgemv(CblasRowMajor,CblasNoTrans,M->dim[0],M->dim[1],1.,M->d,M->inc,x->d,x->inc,0.,x->d,x->inc);
else
cblas_dgemv(CblasRowMajor,CblasTrans,M->dim[0],M->dim[1],1.,M->d,M->inc,x->d,x->inc,0.,x->d,x->inc);
return 0;
}
// -----------------------------------------------------------------------
// level 3
void
la·transpose(math·Matrix *X)
{
int tmp;
X->state ^= mat·trans;
tmp = X->dim[0], X->dim[0] = X->dim[1], X->dim[1] = tmp;
}
error
la·matrow(math·Matrix *X, int r, math·Vector *row)
{
if (r < 0 || r >= X->dim[0]) {
errorf("out of bounds");
return 1;
}
row->len = X->dim[1];
row->inc = 1;
row->d = X->d + X->dim[1] * r;
return 0;
}
error
la·matcol(math·Matrix *X, int c, math·Vector *col)
{
if (c < 0 || c >= X->dim[1]) {
errorf("out of bounds");
return 1;
}
col->len = X->dim[0];
col->inc = X->dim[1];
col->d = X->d + c;
return 0;
}
error
la·matslice(math·Matrix *X, int r[3], int c[3])
{
/* TODO */
return 0;
}
error
la·eig(math·Matrix *X)
{
}
/* X = A*B */
error
la·matmul(math·Matrix *X, math·Matrix *A, math·Matrix *B)
{
if (A->dim[1] != B->dim[0]) {
errorf("number of interior dimensions of A '%d' not equal to that of B '%d'", A->dim[1], B->dim[0]);
return 1;
}
if (X->dim[0] != A->dim[0]) {
errorf("number of exterior dimensions of X '%d' not equal to that of A '%d'", X->dim[0], A->dim[0]);
return 1;
}
if (X->dim[1] != B->dim[1]) {
errorf("number of exterior dimensions of X '%d' not equal to that of B '%d'", X->dim[1], B->dim[1]);
return 1;
}
if (X->state & ~mat·trans)
if (A->state & ~mat·trans)
cblas_dgemm(CblasRowMajor,CblasNoTrans,CblasNoTrans,A->dim[0],B->dim[1],A->dim[1],1.,A->d,A->inc,B->d,B->inc,0.,X->d,X->inc);
else
cblas_dgemm(CblasRowMajor,CblasNoTrans,CblasTrans,A->dim[0],B->dim[1],A->dim[1],1.,A->d,A->inc,B->d,B->inc,0.,X->d,X->inc);
else
if (A->state & ~mat·trans)
cblas_dgemm(CblasRowMajor,CblasTrans,CblasNoTrans,A->dim[0],B->dim[1],A->dim[1],1.,A->d,A->inc,B->d,B->inc,0.,X->d,X->inc);
else
cblas_dgemm(CblasRowMajor,CblasTrans,CblasTrans,A->dim[0],B->dim[1],A->dim[1],1.,A->d,A->inc,B->d,B->inc,0.,X->d,X->inc);
return 0;
}
/*
* solves A*X=B
* pass in B via X
*/
error
la·solve(math·Matrix *X, math·Matrix *A)
{
error err;
int n, *ipv;
static int buf[512];
if (n = A->dim[0], n < arrlen(buf)) {
ipv = buf;
n = 0;
} else
ipv = malloc(n*sizeof(*ipv));
/* TODO: utilize more specific regimes if applicable */
err = LAPACKE_dgesv(LAPACK_ROW_MAJOR,A->dim[0],X->dim[1],A->d,A->inc,ipv,X->d,X->inc);
if (n)
free(ipv);
return err;
}
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