Template:Schoute permutation/usage

SIMD related question (Stackoverflow)

Is there a SIMD intrinsics like scatter but between registers?

x = _mm256_shuffle_epi8(x, _mm256_setr_epi8(
    0, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 15,
    0, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 15));

N-dimensional representation classes (Galactic Dynamics)

N-dimensional representation classes

<NDCartesianRepresentation (x1, x2) in kpc
    [(0.,  8.), (1.,  9.), (2., 10.), (3., 11.), (4., 12.), (5., 13.), (6., 14.), (7., 15.)]>

<NDCartesianRepresentation (x1, x2, x3, x4) in kpc
    [(0., 4.,  8., 12.), (1., 5.,  9., 13.), (2., 6., 10., 14.), (3., 7., 11., 15.)]>

16 sectors on a ProDOS disk track (Google groups)

ProDOS vs DOS 3.3 sector order, sector headers, and interleaving

Then the 16 sectors on a ProDOS disk track are ordered
0 8 1 9 2 10 3 11 4 12 5 13 6 14 7 15
which is what I would call a normal 2:1 interleave.

leaf nodes of collapsed trees (PDF)

Dynamic processor allocation in hypercube computers by Chuang and Tzeng (1990)

Fig. 1. A binary tree representation (T₄) with a parameter <t₀, t₁, t₂, t₃> = <0, 2, 3, 1>.
Fig. 6. (b) The leaf nodes of collapsed trees.
Fig. 7. Performing σ₂ on an sequence of 2⁴ numbers corresponding to the leaf node addresses shown in Fig. 1.

Primer Preserving Permutations in music theory (PDF)

MODELING THE MULTISCALE STRUCTURE OF CHORD SEQUENCES USING POLYTOPIC GRAPHS by Louboutin and Bimbot

P0	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
P0	A	A	A	A	B	B	B	B	C	C	C	C	D	D	D	D
P1	0	1	4	5	2	3	6	7	8	9	12	13	10	11	14	15
P1	A	A	B	B	A	A	B	B	C	C	D	D	C	C	D	D
P2	0	2	4	6	1	3	5	7	8	10	12	14	9	11	13	15
P2	A	B	A	B	A	B	A	B	C	D	C	D	C	D	C	D
P3	0	1	8	9	2	3	10	11	4	5	12	13	6	7	14	15
P3	A	A	B	B	C	C	D	D	A	A	B	B	C	C	D	D
P4	0	2	8	10	1	3	9	11	4	6	12	14	5	7	13	15
P4	A	B	A	B	C	D	C	D	A	B	A	B	C	D	C	D
P5	0	4	8	12	1	5	9	13	2	6	10	14	3	7	11	15
P5	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D

Table 1. List of the 6 PPPs, together with their corresponding Prototypical Carrier Sequences (PCS).