nxu/math32.tal

190 lines
4.5 KiB
Tal

( math32.tal )
( )
( 32-bit integers are represented by two 16-bit integers )
( x** means xhi* xlo* )
%DEBUG { #ff #0e DEO }
%RTN { JMP2r }
%EMIT { #18 DEO }
%DIGIT { #00 SWP ;digits ADD2 LDA EMIT }
%SPACE { #20 EMIT }
%NEWLINE { #0a EMIT }
%TOR2 { ROT2 ROT2 }
%POP4 { POP2 POP2 }
%X { #0000 #0001 }
%Y { #1234 #ffff }
%Z { #fedc #ba98 }
|0100
#ffff #ffff ;mul16 JSR2 ;emit-long JSR2 NEWLINE
#ffff #ffff #ffff #ffff ;mul32 JSR2 ;emit-long JSR2 NEWLINE
X Y #2b ;add32 ;emit-long ;test JSR2
Z Y #2b ;add32 ;emit-long ;test JSR2
#fedc #0000 #1234 #0000 #2b ;add32 ;emit-long ;test JSR2
#fedc #0000 #0000 #0000 #2b ;add32 ;emit-long ;test JSR2
#0000 #0000 #0000 #0000 #2b ;add32 ;emit-long ;test JSR2
X Y #26 ;and32 ;emit-long ;test JSR2
X Y #7c ;or32 ;emit-long ;test JSR2
X Y #5e ;xor32 ;emit-long ;test JSR2
X Y #3d ;eq32 ;emit-byte ;test JSR2
Y Y #3d ;eq32 ;emit-byte ;test JSR2
X Y #7e ;ne32 ;emit-byte ;test JSR2
X X #7e ;ne32 ;emit-byte ;test JSR2
BRK
@test ( x** y** symbol^ test-addr* emit-addr* -> )
,&emitaddr STR2
,&testaddr STR2
,&testsym STR
,&ylo STR2 ,&yhi STR2
,&xlo STR2 ,&xhi STR2
,&xhi LDR2 ,&xlo LDR2 ;emit-long JSR2
SPACE ,&testsym LDR EMIT SPACE
,&yhi LDR2 ,&ylo LDR2 ;emit-long JSR2
SPACE #3d EMIT SPACE
,&xhi LDR2 ,&xlo LDR2
,&yhi LDR2 ,&ylo LDR2
,&testaddr LDR2 JSR2
,&emitaddr LDR2 JSR2 NEWLINE
RTN
&testsym $1
&testaddr $2
&emitaddr $2
&xhi $2 &xlo $2
&yhi $2 &ylo $2
@eq32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 EQU2 ,&maybe JCN
POP4 #00 RTN
&maybe EQU2
RTN
@ne32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 EQU2 ,&maybe JCN
POP4 #01 RTN
&maybe NEQ2
RTN
@and32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 AND2 TOR2 AND2 SWP2
RTN
@or32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 ORA2 TOR2 ORA2 SWP2
RTN
@xor32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 EOR2 TOR2 EOR2 SWP2
RTN
@left-by-8 ( x** -> x<<8** )
SWP2 ( x2 x3 x0 x1 )
SWP POP ( x2 x3 x1 )
ROT ROT #00 ( x1 x2 x3 00 )
RTN
@left-by-16 ( x** -> x<<16** )
SWP2 ( x2 x3 x0 x1 )
POP2 #0000 ( x2 x3 0000 )
RTN
@left-by-24 ( x** -> x<<24** )
SWP2 POP2 ( x2 x3 )
SWP POP #00 #0000 ( x3 00 0000 )
RTN
@add32 ( xhi* xlo* yhi* ylo* -> zhi* zlo* )
,&y2 STR2 ,&y0 STR2 ( save ylo, yhi )
,&x2 STR2 ,&x0 STR2 ( save xlo, xhi )
#0000 #0000 ,&z0 STR2 ,&z2 STR2 ( reset zhi, zlo )
( x3 + y3 => z2z3 )
#00 ,&x3 LDR #00 ,&y3 LDR ADD2 ,&z2 STR2
( x2 + y2 + z2 => z1z2 )
#00 ,&x2 LDR ,&z1 LDR2 ADD2 ,&z1 STR2
#00 ,&y2 LDR ,&z1 LDR2 ADD2 ,&z1 STR2
( x1 + y1 + z1 => z0z1 )
#00 ,&x1 LDR ,&z0 LDR2 ADD2 ,&z0 STR2
#00 ,&y1 LDR ,&z0 LDR2 ADD2 ,&z0 STR2
( x0 + y0 + z0 => z0 )
,&x0 LDR ,&z0 LDR ADD ,&z0 STR
,&y0 LDR ,&z0 LDR ADD ,&z0 STR
( load zhi,zlo )
,&z0 LDR2 ,&z2 LDR2
RTN
( registers for add32 )
[ &x0 $1 &x1 $1 &x2 $1 &x3 $1 ]
[ &y0 $1 &y1 $1 &y2 $1 &y3 $1 ]
[ &z0 $1 &z1 $1 &z2 $2 ]
@mul16 ( x* y* -> z** )
,&y1 STR ,&y0 STR ( save ylo, yhi )
,&x1 STR ,&x0 STR ( save xlo, xhi )
#0000 #00 ,&z0 STR2 ,&z2 STR ( reset z0,z1,z2 )
#0000 #00 ,&a0 STR2 ,&a2 STR ( reset a0,a1,a2 )
( x1 * y1 => z1z2 )
#00 ,&x1 LDR #00 ,&y1 LDR MUL2 ,&z1 STR2
( x0 * y1 => z0z1 )
#00 ,&x0 LDR #00 ,&y1 LDR MUL2 ,&z0 LDR2 ADD2 ,&z0 STR2
( x1 * y0 => a1a2 )
#00 ,&x1 LDR #00 ,&y0 LDR MUL2 ,&a1 STR2
( x0 * y0 => a0a1 )
#00 ,&x0 LDR #00 ,&y0 LDR MUL2 ,&a0 LDR2 ADD2 ,&a0 STR2
( load z and a )
#00 ,&z0 LDR2 ,&z2 LDR
,&a0 LDR2 ,&z2 LDR #00
;add32 JSR2
RTN
[ &x0 $1 &x1 $1 ]
[ &y0 $1 &y1 $1 ]
[ &z0 $1 &z1 $1 &z2 $2 ]
[ &a0 $1 &a1 $1 &a2 $2 ]
@mul32 ( x** y** -> z** )
,&y1 STR2 ,&y0 STR2 ( save ylo, yhi )
,&x1 STR2 ,&x0 STR2 ( save xlo, xhi )
,&y1 LDR2 ,&x1 LDR2 ;mul16 JSR2 ( sum = [x1*y1] )
,&y1 LDR2 ,&x0 LDR2 ;mul16 JSR2 ;left-by-16 JSR2 ;add32 JSR2 ( sum += [x0*y1]<<16 )
,&y0 LDR2 ,&x1 LDR2 ;mul16 JSR2 ;left-by-16 JSR2 ;add32 JSR2 ( sum += [x1*y0]<<16 )
( [x0*y0]<<32 will completely overflow )
RTN
[ &x0 $2 &x1 $2 ]
[ &y0 $2 &y1 $2 ]
@emit-long ( hi* lo* -> )
SWP2
;emit-short JSR2
;emit-short JSR2
RTN
@emit-short ( x* -> )
SWP ( lo^ hi^ )
DUP #04 SFT DIGIT ( emit hi>>4 )
#0f AND DIGIT ( emit hi&f )
DUP #04 SFT DIGIT ( emit lo>>4 )
#0f AND DIGIT ( emit lo&f )
RTN
@emit-byte ( x^ -> )
DUP #04 SFT DIGIT ( emit hi>>4 )
#0f AND DIGIT ( emit hi&f )
RTN
@digits
30 31 32 33 34 35 36 37
38 39 61 62 63 64 65 66