Extend modular permutation transpose to any element size
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@ -201,16 +201,18 @@ fn interleave{T}(r0:*void, x0:*void, x1:*void, n:u64) : void = {
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}
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# Transpose a contiguous width-w (w odd) kernel from x to r with stride rst
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def modular_kernel{w,h}{rp0:*T==i8, xp:*T, rst:(u64)} = {
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def modular_kernel{w}{rp0:*T, xp:*T, rst:(u64)} = {
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def h = arch_defvw / 8
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def ih = iota{h}; def iw = iota{w}
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def I = [h]u8
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def I = [h]u8; def V = I
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def e = width{T} / 8
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# Load a shape h,w slice of x, but consider as shape w,h
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def xsp = each{load{*[h]T~~xp, .}, iw}
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def xsp = each{load{*V~~xp, .}, iw}
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# Modular permutation of (reshaped argument) columns
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xs := select{xsp, find_index{h*iw % w, iw}}
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xs := select{xsp, find_index{h/e*iw % w, iw}}
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# Rotate each column by its index
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@unroll (kl to ceil_log2{w}) { def k = 1<<kl
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def m = make{I, 0xff * ((ih % w) & k != 0)}
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def m = make{I, 0xff * (((ih // e) % w) & k != 0)}
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def bl{x,y} = { x = homBlend{x,y,m} }
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x0 := select{xs, 0}
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def xord = select{xs, -k*iw % w}
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@ -218,14 +220,14 @@ def modular_kernel{w,h}{rp0:*T==i8, xp:*T, rst:(u64)} = {
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}
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# Modular permutation of rows, and write to result
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rp := rp0
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mp := make{I, w*(ih%16) % h}; mi := I**1
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mp := make{I, ih%e + (ih - ih%e)%16*w%h}; mi := I**e
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def perm = if (h==16) shuf else {
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c := I**16
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def cross{s, i} = homBlend{s, shuf{[4]u64, s, 2,3,0,1}, i&c == c}
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{x, i} => cross{shuf{16, x, i}, i}
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}
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def perm_store{x} = {
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store{*[h]T~~rp, 0, perm{x, mp}}
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store{*V~~rp, 0, perm{x, mp}}
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rp += rst; mp += mi
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if (hasarch{'AARCH64'}) mp &= I**15 # Implicit on x86, value stays below h+w
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}
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@ -235,7 +237,7 @@ def modular_kernel{w,h}{rp0:*T==i8, xp:*T, rst:(u64)} = {
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def transpose_with_modular{rp:*T, xp:*T, wk, h, hs} = {
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def vl = arch_defvw / width{T}
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@for_mult_max{vl, h-vl} (i to h+(-h)%vl) {
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modular_kernel{wk,vl}{rp+i, xp+i*wk, hs}
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modular_kernel{wk}{rp+i, xp+i*wk, hs}
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}
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}
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@ -247,15 +249,17 @@ fn transpose{T, {k, kh}}(r0:*void, x0:*void, w:u64, h:u64, ws:u64, hs:u64) : voi
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rp:*T = *T~~r0
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xp:*T = *T~~x0
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def vl = arch_defvw / width{T}
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if (has_simd and k>max{4,8/width{T}} and h>=kh and w>=k/2 and w<k) {
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def use_kpart = k>max{4,8/width{T}}
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if (has_simd and use_kpart and h>=kh and w>=k/2 and w<k) {
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@for_mult_max{kh, h-kh} (i to h+(-h)%kh) {
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kernel_part{w}{xp+i*ws, rp+i, k, kh, ws, hs}
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}
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return{}
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}
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if ((hasarch{'SSE4.1'} or hasarch{'AARCH64'}) and T==i8 and h>=vl and w==ws) {
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if ((hasarch{'SSE4.1'} or hasarch{'AARCH64'}) and h>=vl and w==ws) {
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def tr = transpose_with_modular{rp, xp, ., h, hs}
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each{{wk} => if (w==wk) { tr{wk}; return{} }, 3+2*iota{3}} # 3 to 7
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def ws = replicate{{i} => (not use_kpart) or i < k/2, 3+2*iota{3}} # 3 to 7
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each{{wk} => if (w==wk) { tr{wk}; return{} }, ws}
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}
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if (has_simd and k!=0 and w>=k and h>=k) {
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transpose_with_kernel{T, k, kh, call_base, rp, xp, w, h, ws, hs}
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