bfloat16 wip
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bfloat16.tal
49
bfloat16.tal
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@ -152,18 +152,6 @@
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%EXPONENT { #10 SFT2 POP }
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%MANTISSA { NIP #7f AND }
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( returns sign: #00 or #01 )
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@sign ( x* -> sgn^ )
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SIGN JMP2r
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( returns exp: #00 to #ff )
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@exponent ( x* -> exp^ )
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EXPONENT JMP2r
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( returns mta: #00 to #7f )
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@mantissa ( x* -> mta^ )
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MANTISSA JMP2r
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( returns full mta: #00 to #ff )
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( normal numbers will be >= #80 )
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( subnormal numbers will be < #80 )
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@ -175,11 +163,14 @@
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@negate-bf16 ( x* -> z* )
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#8000 EOR2 JMP2r
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@abs-bf16 ( x* -> z* )
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#7fff AND2 JMP2r
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@is-zero ( x* -> bool^ )
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#7fff AND2 #0000 EQU2
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#7fff AND2 #0000 EQU2 JMP2r
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@non-zero ( x* -> bool^ )
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#7fff AND2 #0000 NEQ2
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#7fff AND2 #0000 NEQ2 JMP2r
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( Shift mantissa m right by n bits, with rounding )
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( )
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@ -285,16 +276,26 @@
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,&x ;non-zero JSR2 ( is x non-zero? )
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ORA ,¬-zero JCN #00 JMP2r ( false if x and y are zero )
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¬-zero
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,&x LDR2 ;sign JSR2 ( sign of x )
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,&y LDR2 ;sign JSR2 ( sign of y )
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,&x LDR2 SIGN ( sign of x )
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,&y LDR2 SIGN ( sign of y )
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EQUk ,&same-sign JCN GTH JMP2r ( return unless signs are eq )
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[ &x $2 &y $2 ]
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&same-sign POP
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,&x LDR2 ;exponent JSR2 ( exponent of x )
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,&y LDR2 ;exponent JSR2 ( exponent of y )
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EQUk ,&exp-eq JCN LTH JMP2r ( return ex < ey unless exps are eq )
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&exp-eq POP
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,&x LDR2 ;mantissa JSR2 ( mantissa of x )
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,&y LDR2 ;exponent JSR2 ( mantissa of y )
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LTH JMP2r ( mx < my )
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&same-sign
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POP ,&is-negative JCN
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,&x LDR2 ,&y LDR2 LTH2 JMP2r ( for positives, use integer x < y )
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&is-negative
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,&x LDR2 ,&y LDR2 GTH2 JMP2r ( for negatives, use integer x > y )
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( see lt-bf16; (x < y) = (y < x) )
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@gt-bf16 ( x* y* -> bool^ )
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SWP2 ;lt-bf16 JMP2
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( special cases: )
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( 1. x + y = y + x )
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( 2. nan + x = nan )
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( 3. 0 + x = x )
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( 4. inf + (-inf) = nan )
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( 5. inf + x = inf )
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( 6. -inf + x = -inf )
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@add-bf16 ( x* y* -> z* )
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JMP2r
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