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bit shifting, start on div

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~d6 2021-12-24 16:33:59 -05:00
parent 729a4fa70e
commit fa30d46611
1 changed files with 171 additions and 0 deletions
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math32.tal
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@ -10,6 +10,7 @@
%SPACE { #20 EMIT } %SPACE { #20 EMIT }
%NEWLINE { #0a EMIT } %NEWLINE { #0a EMIT }
%TOR { ROT ROT }
%TOR2 { ROT2 ROT2 } %TOR2 { ROT2 ROT2 }
%POP4 { POP2 POP2 } %POP4 { POP2 POP2 }
@ -19,6 +20,30 @@
|0100 |0100
( run a bunch of test cases ) ( run a bunch of test cases )
#1000 #03 ;divmod16-by-8 JSR2 ;emit-short-byte JSR2 NEWLINE
NEWLINE
#1124 #1244 #01 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #02 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #08 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #0f ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #10 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #13 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #17 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #18 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#1124 #1244 #19 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#0000 #0001 #1f ;left-shift JSR2 ;emit-long JSR2 NEWLINE
#0000 #0001 #20 ;left-shift JSR2 ;emit-long JSR2 NEWLINE
NEWLINE
#0000 #0000 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
#0000 #0100 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
#0001 #0000 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
#0010 #0000 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
#1000 #0000 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
#f000 #0000 ;bitcount32 JSR2 ;emit-byte JSR2 NEWLINE
NEWLINE
#ffff #ffff #2a ;mul16 ;emit-short ;test16 JSR2 #ffff #ffff #2a ;mul16 ;emit-short ;test16 JSR2
#0001 #ffff #2a ;mul16 ;emit-short ;test16 JSR2 #0001 #ffff #2a ;mul16 ;emit-short ;test16 JSR2
@ -95,18 +120,59 @@ RTN
&xhi $2 &xlo $2 &xhi $2 &xlo $2
&yhi $2 &ylo $2 &yhi $2 &ylo $2
@bitcount8 ( x^ -> n^ )
#00 SWP ( n x )
&loop
DUP #00 EQU ( n x x=0 )
,&done JCN ( n x )
#01 SFT ( n x>>1 )
SWP INC SWP ( n+1 x>>1 )
,&loop JMP
&done
POP ( n )
RTN
@bitcount16 ( x* -> n^ )
SWP ( xlo xhi )
;bitcount8 JSR2 ( xlo nhi )
DUP #00 NEQ ( xlo nhi nhi!=0 )
,&hi-set JCN ( xlo nhi )
SWP ;bitcount8 JSR2 ADD ( nhi+nlo )
RTN
&hi-set
SWP POP #08 ADD ( nhi+8 )
RTN
@bitcount32 ( x** -> n^ )
SWP2 ( xlo* xhi* )
;bitcount16 JSR2 ( xlo* nhi )
DUP #00 NEQ ( xlo* nhi nhi!=0 )
,&hi-set JCN ( xlo* nhi )
TOR ;bitcount16 JSR2 ADD RTN ( nhi+nlo )
&hi-set
TOR POP2 #10 ADD ( nhi+16 )
RTN
@eq32 ( xhi* xlo* yhi* ylo* -> bool^ ) @eq32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 EQU2 ,&maybe JCN ROT2 EQU2 ,&maybe JCN
POP4 #00 RTN POP4 #00 RTN
&maybe EQU2 &maybe EQU2
RTN RTN
@eq-zero32 ( x** -> bool^ )
ORA2 #0000 EQU2
RTN
@ne32 ( xhi* xlo* yhi* ylo* -> bool^ ) @ne32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 EQU2 ,&maybe JCN ROT2 EQU2 ,&maybe JCN
POP4 #01 RTN POP4 #01 RTN
&maybe NEQ2 &maybe NEQ2
RTN RTN
@ne-zero32 ( x** -> bool^ )
ORA2 #0000 NEQ2
RTN
@and32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* ) @and32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 AND2 TOR2 AND2 SWP2 ROT2 AND2 TOR2 AND2 SWP2
RTN RTN
@ -138,6 +204,72 @@ RTN
SWP2 POP2 #0000 SWP2 POP2 #0000
RTN RTN
@left-shift ( x** n^ -> x<<n )
DUP #08 LTH ;left-shift0 JCN2 ( x n )
DUP #10 LTH ;left-shift1 JCN2 ( x n )
DUP #18 LTH ;left-shift2 JCN2 ( x n )
;left-shift3 JMP2 ( x n )
RTN
[ &z0 $1 &z1 $1 &z2 $1 &z3 $1 ]
( shift left by 0-7 bits )
@left-shift0 ( x** n^ -> x<<n )
#40 SFT ,&r STR ( n<<4 -> r )
SWP SWP2 SWP ( x3 x2 x1 x0 )
,&r LDR SFT ,&z0 STR ( x3 x2 x1 )
#00 SWP ,&r LDR SFT2 ( x3 x2 00x1<<r )
,&z0 LDR2 ORA2 ,&z0 STR2 ( x3 x2 )
#00 SWP ,&r LDR SFT2 ( x3 00x2<<r )
,&z1 LDR2 ORA2 ,&z1 STR2 ( x3 )
#00 SWP ,&r LDR SFT2 ( 00x3<<r )
,&z2 LDR2 ORA2 ,&z2 STR2 ( )
,&z0 LDR2 ,&z2 LDR2
RTN
[ &r $1 &z0 $1 &z1 $1 &z2 $1 &z3 $1 ]
( shift left by 8-15 bits )
@left-shift1 ( x** n^ -> x<<n )
#08 SUB #40 SFT ,&r STR ( n<<4 -> r )
SWP SWP2 SWP POP ( x3 x2 x1 )
,&r LDR SFT ,&z0 STR ( x3 x2 )
#00 SWP ,&r LDR SFT2 ( x3 00x2<<r )
,&z0 LDR2 ORA2 ,&z0 STR2 ( x3 )
#00 SWP ,&r LDR SFT2 ( 00x3<<r )
,&z1 LDR2 ORA2 ,&z1 STR2 ( )
,&z0 LDR2 ,&z2 LDR #00
RTN
[ &r $1 &z0 $1 &z1 $1 &z2 $1 ]
( shift left by 16-23 bits )
@left-shift2 ( x** n^ -> x<<n )
#10 SUB #40 SFT ,&r STR ( n<<4 -> r )
SWP2 POP2 SWP ( x3 x2 )
,&r LDR SFT ,&z0 STR ( x3 )
#00 SWP ,&r LDR SFT2 ( x3<<r )
,&z0 LDR2 ORA2 ,&z0 STR2 ( )
,&z0 LDR2 #0000
RTN
[ &r $1 &z0 $1 &z1 $1 ]
( shift left by 24-31 bits )
@left-shift3 ( x** n^ -> x<<n )
#18 SUB #10 MUL ( x0 x1 x2 x3 r=[n-24]<<4 )
SFT ( x0 x1 x2 x3<<r )
SWP2 POP2 SWP POP #0000 #00
RTN
@add32 ( xhi* xlo* yhi* ylo* -> zhi* zlo* ) @add32 ( xhi* xlo* yhi* ylo* -> zhi* zlo* )
,&y2 STR2 ,&y0 STR2 ( save ylo, yhi ) ,&y2 STR2 ,&y0 STR2 ( save ylo, yhi )
,&x2 STR2 ,&x0 STR2 ( save xlo, xhi ) ,&x2 STR2 ,&x0 STR2 ( save xlo, xhi )
@ -214,6 +346,38 @@ RTN
[ &y0 $2 &y1 $2 ] [ &y0 $2 &y1 $2 ]
[ &z0 $2 &z1 $2 ] [ &z0 $2 &z1 $2 ]
@divmod32-by-32 ( x** y** -> q** r** )
,&div1 STR2 ,&div0 STR2 ( y -> div )
,&rem1 STR2 ,&rem0 STR2 ( x -> rem )
#0000 #0000 ,&quo1 STR2 ,&quo0 ( 0 -> quo )
,&rem0 LDR2 ,&rem1 LDR2 ;bitcount32 JSR2 ( rembits^ )
,&div1 LDR2 ,&div0 LDR2 ;bitcount32 JSR2 ( rembits^ divbits^ )
SUBk ,&shift STR ( rembits divbits )
,&div0 LDR2 ,&div1 LDR2
RTN
[ &div0 $2 &div1 $2
&rem0 $2 &rem1 $2
&quo0 $2 &quo1 $2
&shift $1 ]
@divmod16-by-8 ( x* y^ -> q* r^ )
DUP ,&y STR
ROT SWP ( x1 x0 y )
DIVk ( x1 x0 y q0 )
DUP ,&q0 STR ( x1 x0 y q0 )
MUL SUB ( x1 r=x0-y*q0 )
SWP #00 ,&y LDR ( r x1 00 y )
DIV2k ( rx1 00y q1 )
DUP2 ROT2 MUL2 ( rx1 q1 y*q1 )
ROT2 SWP2 SUB2 ( q1 rr=rx1-y*q1 )
SWP POP ( q1 rrlo )
ROT POP ( q1lo rrlo )
,&q0 LDR TOR
RTN
[ &y $1 &q0 $1 ]
@emit-long ( hi* lo* -> ) @emit-long ( hi* lo* -> )
SWP2 ( lo* hi* ) SWP2 ( lo* hi* )
;emit-short JSR2 ;emit-short JSR2
@ -222,6 +386,13 @@ RTN
%EMIT-BYTE { DUP #04 SFT DIGIT #0f AND DIGIT } %EMIT-BYTE { DUP #04 SFT DIGIT #0f AND DIGIT }
@emit-short-byte ( x* y^ - > )
TOR ( y^ x* )
;emit-short JSR2
SPACE
;emit-byte JSR2
RTN
@emit-short ( x* -> ) @emit-short ( x* -> )
SWP ( lo^ hi^ ) SWP ( lo^ hi^ )
EMIT-BYTE EMIT-BYTE EMIT-BYTE EMIT-BYTE