/* generated code, do not edit. */

#include <ode/matrix.h>

/* solve L*X=B, with B containing 1 right hand sides.

 * L is an n*n lower triangular matrix with ones on the diagonal.

 * L is stored by rows and its leading dimension is lskip.

 * B is an n*1 matrix that contains the right hand sides.

 * B is stored by columns and its leading dimension is also lskip.

 * B is overwritten with X.

 * this processes blocks of 4*4.

 * if this is in the factorizer source file, n must be a multiple of 4.

 */

EXPORT_C void dSolveL1 (const dReal *L, dReal *B, int n, int lskip1)

{  

  /* declare variables - Z matrix, p and q vectors, etc */

  dReal Z11,Z21,Z31,Z41,p1,q1,p2,p3,p4,*ex;

  const dReal *ell;

  int lskip2,lskip3,i,j;

  /* compute lskip values */

  lskip2 = 2*lskip1;

  lskip3 = 3*lskip1;

  /* compute all 4 x 1 blocks of X */

  for (i=0; i <= n-4; i+=4) {

    /* compute all 4 x 1 block of X, from rows i..i+4-1 */

    /* set the Z matrix to 0 */

    Z11=0;

    Z21=0;

    Z31=0;

    Z41=0;

    ell = L + i*lskip1;

    ex = B;

    /* the inner loop that computes outer products and adds them to Z */

    for (j=i-12; j >= 0; j -= 12) {

      /* load p and q values */

      p1=ell[0];

      q1=ex[0];

      p2=ell[lskip1];

      p3=ell[lskip2];

      p4=ell[lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[1];

      q1=ex[1];

      p2=ell[1+lskip1];

      p3=ell[1+lskip2];

      p4=ell[1+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[2];

      q1=ex[2];

      p2=ell[2+lskip1];

      p3=ell[2+lskip2];

      p4=ell[2+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[3];

      q1=ex[3];

      p2=ell[3+lskip1];

      p3=ell[3+lskip2];

      p4=ell[3+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[4];

      q1=ex[4];

      p2=ell[4+lskip1];

      p3=ell[4+lskip2];

      p4=ell[4+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[5];

      q1=ex[5];

      p2=ell[5+lskip1];

      p3=ell[5+lskip2];

      p4=ell[5+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[6];

      q1=ex[6];

      p2=ell[6+lskip1];

      p3=ell[6+lskip2];

      p4=ell[6+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[7];

      q1=ex[7];

      p2=ell[7+lskip1];

      p3=ell[7+lskip2];

      p4=ell[7+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[8];

      q1=ex[8];

      p2=ell[8+lskip1];

      p3=ell[8+lskip2];

      p4=ell[8+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[9];

      q1=ex[9];

      p2=ell[9+lskip1];

      p3=ell[9+lskip2];

      p4=ell[9+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[10];

      q1=ex[10];

      p2=ell[10+lskip1];

      p3=ell[10+lskip2];

      p4=ell[10+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* load p and q values */

      p1=ell[11];

      q1=ex[11];

      p2=ell[11+lskip1];

      p3=ell[11+lskip2];

      p4=ell[11+lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* advance pointers */

      ell += 12;

      ex += 12;

      /* end of inner loop */

    }

    /* compute left-over iterations */

    j += 12;

    for (; j > 0; j--) {

      /* load p and q values */

      p1=ell[0];

      q1=ex[0];

      p2=ell[lskip1];

      p3=ell[lskip2];

      p4=ell[lskip3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      Z21 += dMUL(p2,q1);

      Z31 += dMUL(p3,q1);

      Z41 += dMUL(p4,q1);

      /* advance pointers */

      ell += 1;

      ex += 1;

    }

    /* finish computing the X(i) block */

    Z11 = ex[0] - Z11;

    ex[0] = Z11;

    p1 = ell[lskip1];

    Z21 = ex[1] - Z21 - dMUL(p1,Z11);

    ex[1] = Z21;

    p1 = ell[lskip2];

    p2 = ell[1+lskip2];

    Z31 = ex[2] - Z31 - dMUL(p1,Z11) - dMUL(p2,Z21);

    ex[2] = Z31;

    p1 = ell[lskip3];

    p2 = ell[1+lskip3];

    p3 = ell[2+lskip3];

    Z41 = ex[3] - Z41 - dMUL(p1,Z11) - dMUL(p2,Z21) - dMUL(p3,Z31);

    ex[3] = Z41;

    /* end of outer loop */

  }

  /* compute rows at end that are not a multiple of block size */

  for (; i < n; i++) {

    /* compute all 1 x 1 block of X, from rows i..i+1-1 */

    /* set the Z matrix to 0 */

    Z11=0;

    ell = L + i*lskip1;

    ex = B;

    /* the inner loop that computes outer products and adds them to Z */

    for (j=i-12; j >= 0; j -= 12) {

      /* load p and q values */

      p1=ell[0];

      q1=ex[0];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[1];

      q1=ex[1];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[2];

      q1=ex[2];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[3];

      q1=ex[3];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[4];

      q1=ex[4];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[5];

      q1=ex[5];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[6];

      q1=ex[6];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[7];

      q1=ex[7];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[8];

      q1=ex[8];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[9];

      q1=ex[9];

      /* compute outer product and add it to the Z matrix */

      Z11 +=dMUL( p1,q1);

      /* load p and q values */

      p1=ell[10];

      q1=ex[10];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* load p and q values */

      p1=ell[11];

      q1=ex[11];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* advance pointers */

      ell += 12;

      ex += 12;

      /* end of inner loop */

    }

    /* compute left-over iterations */

    j += 12;

    for (; j > 0; j--) {

      /* load p and q values */

      p1=ell[0];

      q1=ex[0];

      /* compute outer product and add it to the Z matrix */

      Z11 += dMUL(p1,q1);

      /* advance pointers */

      ell += 1;

      ex += 1;

    }

    /* finish computing the X(i) block */

    Z11 = ex[0] - Z11;

    ex[0] = Z11;

  }

}