2-byte vector binary searches
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@ -145,101 +145,113 @@ def bins_lookup{I, T, up, w:*T, wn:u64, x:*T, xn:u64, rp:*void} = {
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tfree{t0}
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}
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def bin_search_vec{up, w:*i8, wn, x:*i8, n, res:*i8} = {
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assert{wn > 0}
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def T = i8; def I = u8
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def lt = if (up) <; else >
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def pre = (if (up) minvalue else maxvalue){T}
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def bins_lookup{I==i8, T==i8, up, w:*T, wn:u64, x:*T, xn:u64, rp:*void} = {
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assert{wn < 128} # Total must fit in i8
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def T = i8
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def vl = 32
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def V = [vl]T; def H = [vl/2]T
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def U = [vl]I
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if (hasarch{'AVX2'} and wn < 8) {
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log := ceil_log2{wn+1}
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l := 1<<log
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gap := l - cast_i{u8, wn}
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off := U**(gap - 1)
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wv := homBlend{load{*H~~(w-gap), 0}, H**pre, maskOf{H,gap}}
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def selw = getsel{wv}
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h0 := U**(l/2)
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@unroll (klog from 2 to 4) {
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if (log==klog) @for_vec_overlap{vl} (j to n) {
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xv:= load{*V~~(x+j), 0}
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s := U**0
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h := h0
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@unroll (klog) {
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m := s | h
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s = homBlend{m, s, lt{xv, selw{m}}}
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h = shr16{h, 1}
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}
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store{*U~~(res+j), 0, s - off}
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}
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def V = [vl]T; def H = v_half{V}
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def U = [vl]u8
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def res = *T~~rp
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t0:*i8 = copy{256,0}
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t:*i8 = t0 + 128
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@for (w over wn) store{t, w, 1+load{t, w}}
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def plus_scan{tab, len} = {
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s:i8=0; @for_dir{up} (tab over len) { s += tab; tab = s }
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}
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def no_bittab = makelabel{}; def done = makelabel{}
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if (hasarch{'AVX2'}) {
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# Convert to bit table
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def nb = 256/vl
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nu:u8 = 0; def addu{b} = { nu+=popc{b}; b } # Number of uniques
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vb := U~~make{[nb](ty_u{vl}),
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@collect (t in *V~~t0 over nb) addu{homMask{t > V**0}}
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}
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} else {
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assert{wn < 128} # Total must fit in i8
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t0:*i8 = copy{256,0}
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t:*i8 = t0 + 128
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@for (w over wn) store{t, w, 1+load{t, w}}
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def plus_scan{tab, len} = {
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s:i8=0; @for_dir{up} (tab over len) { s += tab; tab = s }
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dup := promote{u64,nu} < wn
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# Unique index to w index conversion
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ui := undefined{V}; ui1 := undefined{V}
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if (dup) {
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if (nu > vl) goto{no_bittab}
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# We'll subtract 1 when indexing so the initial 0 isn't needed
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tui:*i8 = copy{vl, 0}; i:T = 0
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@for (tui over promote{u64,nu}) { i += load{t, load{w, i}}; tui = i }
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ui = load{*V~~tui, 0}
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if (nu > 16) ui1 = shuf{[4]u64, ui, 4b3232}
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ui = shuf{[4]u64, ui, 4b1010}
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}
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def no_bittab = makelabel{}; def done = makelabel{}
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if (hasarch{'AVX2'}) {
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# Convert to bit table
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def nb = 256/vl
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nu:u8 = 0; def addu{b} = { nu+=popc{b}; b } # Number of uniques
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vb := U~~make{[nb](ty_u{vl}),
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@collect (t in *V~~t0 over nb) addu{homMask{t > V**0}}
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}
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dup := promote{u64,nu} < wn
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# Unique index to w index conversion
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ui := undefined{V}; ui1 := undefined{V}
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# Popcount on 8-bit values
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def sums{n} = if (n==1) tup{0} else { def s=sums{n/2}; merge{s,s+1} }
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def sum4 = getsel{make{H, sums{vl/2}}}
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bot4 := U**0x0f
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def vpopc{v} = {
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def s{b} = sum4{b&bot4}
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s{shr16{v,4}} + s{v}
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}
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# Bit table
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def swap{v} = shuf{[4]u64, v, 4b1032} # For signedness
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def sel_b = getsel{swap{vb}}
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# Masks for filtering bit table
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def ms = if (up) 256-(1<<(1+iota{8})) else (1<<iota{8})-1
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def sel_m = getsel{make{H, merge{ms - 256*(ms>127), 8**0}}}
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# Exact values for multiples of 8
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store{*U~~t0, 0, vpopc{vb}}
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plus_scan{t0, 256/8}
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def sel_c = getsel{swap{load{*V~~t0, 0} - V**dup}}
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# Top 5 bits select bytes from tables; bottom 3 select from mask
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bot3 := U**0x07
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@for_vec_overlap{vl} (j to xn) {
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xv := load{*U~~(x+j), 0}
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xb := xv & bot3
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xt := shr16{xv &~ bot3, 3}
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ind := sel_c{xt} - vpopc{sel_b{xt} & U~~sel_m{xb}}
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if (dup) {
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if (nu > vl) goto{no_bittab}
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# We'll subtract 1 when indexing so the initial 0 isn't needed
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tui:*i8 = copy{vl, 0}; i:T = 0
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@for (tui over promote{u64,nu}) { i += load{t, load{w, i}}; tui = i }
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ui = load{*V~~tui, 0}
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if (nu > 16) ui1 = shuf{[4]u64, ui, 4b3232}
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ui = shuf{[4]u64, ui, 4b1010}
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i0 := V~~ind # Can contain -1
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ind = sel{H, ui, i0}
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if (nu > 16) ind = homBlend{sel{H,ui1,i0}, ind, i0<V**(vl/2)}
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}
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# Popcount on 8-bit values
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def sums{n} = if (n==1) tup{0} else { def s=sums{n/2}; merge{s,s+1} }
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def sum4 = getsel{make{H, sums{vl/2}}}
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bot4 := U**0x0f
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def vpopc{v} = {
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def s{b} = sum4{b&bot4}
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s{shr16{v,4}} + s{v}
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}
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# Bit table
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def swap{v} = shuf{[4]u64, v, 4b1032} # For signedness
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def sel_b = getsel{swap{vb}}
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# Masks for filtering bit table
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def ms = if (up) 256-(1<<(1+iota{8})) else (1<<iota{8})-1
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def sel_m = getsel{make{H, merge{ms - 256*(ms>127), 8**0}}}
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# Exact values for multiples of 8
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store{*U~~t0, 0, vpopc{vb}}
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plus_scan{t0, 256/8}
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def sel_c = getsel{swap{load{*V~~t0, 0} - V**dup}}
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# Top 5 bits select bytes from tables; bottom 3 select from mask
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bot3 := U**0x07
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@for_vec_overlap{vl} (j to n) {
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xv := load{*U~~(x+j), 0}
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xb := xv & bot3
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xt := shr16{xv &~ bot3, 3}
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ind := sel_c{xt} - vpopc{sel_b{xt} & U~~sel_m{xb}}
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if (dup) {
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i0 := V~~ind # Can contain -1
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ind = sel{H, ui, i0}
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if (nu > 16) ind = homBlend{sel{H,ui1,i0}, ind, i0<V**(vl/2)}
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}
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store{*U~~(res+j), 0, ind}
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}
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goto{done}
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setlabel{no_bittab}
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store{*U~~(res+j), 0, ind}
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}
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goto{done}
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setlabel{no_bittab}
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}
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plus_scan{t0, 256}
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@for (res, x over xn) res = load{t, x}
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if (hasarch{'AVX2'}) setlabel{done}
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}
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def bin_search_vec{T, up, w:*T, wn, x:*T, xn, rp, maxwn & hasarch{'AVX2'}} = {
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assert{wn > 1}
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def wd = width{T}
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def bytes = wd/8; def bb = bind{base,256}
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def vl = 256/wd
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def V = [vl]T; def H = v_half{V}
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def U = [vl](ty_u{T})
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def lt = if (up) <; else >
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# Number of steps
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log := ceil_log2{wn+1}
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l := 1<<log
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gap := l - cast_i{u8, wn}
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off := [vl]u8**(gap - 1)
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# Fill with minimum value at the beginning
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def pre = (if (up) minvalue else maxvalue){T}
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wv := homBlend{load{*H~~(w-gap), 0}, H**pre, maskOf{H,gap}}
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def selw = getsel{[16]u8~~wv}
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# A bit in every byte
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h0 := U**(bb{copy{bytes,bytes}} * (cast_i{ty_u{T},l}/2))
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@unroll (klog from 2 to lb{maxwn}+1) {
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if (log==klog) @for_vec_overlap{vl} (j to xn) {
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xv:= load{*V~~(x+j), 0}
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s := U**bb{iota{bytes}} # Select sequential bytes within each U
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h := h0
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@unroll (klog) {
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m := s | h
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s = homBlend{m, s, lt{xv, V~~selw{to_el{u8,m}}}}
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h = shr16{h, 1}
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}
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r := if (T==i8) s
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else half{narrow{u8, s>>(lb{bytes}+wd-8)}, 0}
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store{*[vl]i8~~(*i8~~rp+j), 0, r - off}
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}
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plus_scan{t0, 256}
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@for (res, x over n) res = load{t, x}
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if (hasarch{'AVX2'}) setlabel{done}
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}
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}
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@ -282,12 +294,13 @@ fn bins{T, up}(w:*void, wn:u64, x:*void, xn:u64, rp:*void, rty:u8) : void = {
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if (rty == k) bins_lookup{tupsel{k,rtypes}, T, ...param}
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else if (k+1 < tuplen{rtypes}) lookup{k+1}
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}
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if (hasarch{'AVX2'} and T<=i16 and wn < 8 and xn >= 256/width{T}) {
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bin_search_vec{T, ...param, 8}
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# Lookup table threshold has to account for cost of
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# populating the table (proportional to wn until it's large), and
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# initializing the table (constant, much higher for i16)
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if (T==i8 and xn>=32 and (xn>=512 or xn >= wn>>6 + 32)) {
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if (rty==0) bin_search_vec{...slice{param,0,-1}, *i8~~rp}
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else lookup{1}
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} else if (T==i8 and xn>=32 and (xn>=512 or xn >= wn>>6 + 32)) {
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lookup{0}
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} else if (T==i16 and xn>=512 and (xn>=1<<14 or xn >= wn>>6 + (u64~~3<<(12+rty))/promote{u64,ceil_log2{wn}+2})) {
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lookup{0}
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} else {
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