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(math32.tal) Removed globals

This commit is contained in:
neauoire 2022-02-07 19:35:07 -08:00
parent b5669a52be
commit 51c422c9cb
1 changed files with 91 additions and 94 deletions
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projects/library/math32.tal
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@ -54,9 +54,6 @@
( - mul32 memory, 12 bytes )
( - _divmod32 memory, 16 bytes )
%DEBUG { #ff #0e DEO }
%RTN { JMP2r }
%TOR { ROT ROT } ( a b c -> c a b )
%COMPLEMENT32 { SWP2 #ffff EOR2 SWP2 #ffff EOR2 }
%DUP4 { OVR2 OVR2 }
%POP4 { POP2 POP2 }
@ -74,7 +71,7 @@
,&loop JMP
&done
POP ( n )
RTN
JMP2r
@bitcount16 ( x* -> n^ )
SWP ( xlo xhi )
@ -82,40 +79,40 @@
DUP #00 NEQ ( xlo nhi nhi!=0 )
,&hi-set JCN ( xlo nhi )
SWP ;bitcount8 JSR2 ADD ( nhi+nlo )
RTN
JMP2r
&hi-set
SWP POP #08 ADD ( nhi+8 )
RTN
JMP2r
@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 )
ROT ROT ;bitcount16 JSR2 ADD JMP2r ( nhi+nlo )
&hi-set
TOR POP2 #10 ADD ( nhi+16 )
RTN
ROT ROT POP2 #10 ADD ( nhi+16 )
JMP2r
( equality )
( x == y )
@eq32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 EQU2 STH
EQU2 STHr AND RTN
EQU2 STHr AND JMP2r
( x != y )
@ne32 ( xhi* xlo* yhi* ylo* -> bool^ )
ROT2 NEQ2 STH
NEQ2 STHr ORA RTN
NEQ2 STHr ORA JMP2r
( x == 0 )
@is-zero32 ( x** -> bool^ )
ORA2 #0000 EQU2 RTN
ORA2 #0000 EQU2 JMP2r
( x != 0 )
@non-zero32 ( x** -> bool^ )
ORA2 #0000 NEQ2 RTN
ORA2 #0000 NEQ2 JMP2r
( comparisons )
@ -123,58 +120,58 @@
@lt32 ( x** y** -> bool^ )
ROT2 SWP2 ( xhi yhi xlo ylo )
LTH2 ,&lt-lo JCN ( xhi yhi )
LTH2 RTN
LTH2 JMP2r
&lt-lo
GTH2 #00 EQU RTN
GTH2 #00 EQU JMP2r
( x <= y )
@lteq32 ( x** y** -> bool^ )
ROT2 SWP2 ( xhi yhi xlo ylo )
GTH2 ,&gt-lo JCN ( xhi yhi )
GTH2 #00 EQU RTN
GTH2 #00 EQU JMP2r
&gt-lo
LTH2 RTN
LTH2 JMP2r
( x > y )
@gt32 ( x** y** -> bool^ )
ROT2 SWP2 ( xhi yhi xlo ylo )
GTH2 ,&gt-lo JCN ( xhi yhi )
GTH2 RTN
GTH2 JMP2r
&gt-lo
LTH2 #00 EQU RTN
LTH2 #00 EQU JMP2r
( x > y )
@gteq32 ( x** y** -> bool^ )
ROT2 SWP2 ( xhi yhi xlo ylo )
LTH2 ,&lt-lo JCN ( xhi yhi )
LTH2 #00 EQU RTN
LTH2 #00 EQU JMP2r
&lt-lo
GTH2 RTN
GTH2 JMP2r
( bitwise operations )
( x & y )
@and32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 AND2 STH2 AND2 STH2r RTN
ROT2 AND2 STH2 AND2 STH2r JMP2r
( x | y )
@or32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 ORA2 STH2 ORA2 STH2r RTN
ROT2 ORA2 STH2 ORA2 STH2r JMP2r
( x ^ y )
@xor32 ( xhi* xlo* yhi* ylo* -> xhi|yhi* xlo|ylo* )
ROT2 EOR2 STH2 EOR2 STH2r RTN
ROT2 EOR2 STH2 EOR2 STH2r JMP2r
( ~x )
@complement32 ( x** -> ~x** )
COMPLEMENT32 RTN
COMPLEMENT32 JMP2r
( temporary registers )
( shared by most operations, except mul32 and div32 )
[ @x0 $1 @x1 $1 @x2 $1 @x3 $1
@y0 $1 @y1 $1 @y2 $1 @y3 $1
@z0 $1 @z1 $1 @z2 $1 @z3 $1
@w0 $1 @w1 $1 @w2 $2 ]
@m32 [ &x0 $1 &x1 $1 &x2 $1 &x3 $1
&y0 $1 &y1 $1 &y2 $1 &y3 $1
&z0 $1 &z1 $1 &z2 $1 &z3 $1
&w0 $1 &w1 $1 &w2 $2 ]
( bit shifting )
@ -184,40 +181,40 @@
DUP #10 LTH ;rshift32-1 JCN2 ( x n )
DUP #18 LTH ;rshift32-2 JCN2 ( x n )
;rshift32-3 JMP2 ( x n )
RTN
JMP2r
( shift right by 0-7 bits )
@rshift32-0 ( x** n^ -> x<<n )
STHk SFT ;z3 STA ( write z3 )
#00 STHkr SFT2 #00 ;z3 LDA ORA2 ;z2 STA2 ( write z2,z3 )
#00 STHkr SFT2 #00 ;z2 LDA ORA2 ;z1 STA2 ( write z1,z2 )
#00 STHr SFT2 #00 ;z1 LDA ORA2 ( compute z0,z1 )
;z2 LDA2
RTN
STHk SFT ;m32/z3 STA ( write z3 )
#00 STHkr SFT2 #00 ;m32/z3 LDA ORA2 ;m32/z2 STA2 ( write z2,z3 )
#00 STHkr SFT2 #00 ;m32/z2 LDA ORA2 ;m32/z1 STA2 ( write z1,z2 )
#00 STHr SFT2 #00 ;m32/z1 LDA ORA2 ( compute z0,z1 )
;m32/z2 LDA2
JMP2r
( shift right by 8-15 bits )
@rshift32-1 ( x** n^ -> x<<n )
#08 SUB STH POP
STHkr SFT ;z3 STA ( write z3 )
#00 STHkr SFT2 #00 ;z3 LDA ORA2 ;z2 STA2 ( write z2,z3 )
#00 STHr SFT2 #00 ;z2 LDA ORA2 ( compute z1,z2 )
#00 TOR ;z3 LDA
RTN
STHkr SFT ;m32/z3 STA ( write z3 )
#00 STHkr SFT2 #00 ;m32/z3 LDA ORA2 ;m32/z2 STA2 ( write z2,z3 )
#00 STHr SFT2 #00 ;m32/z2 LDA ORA2 ( compute z1,z2 )
#00 ROT ROT ;m32/z3 LDA
JMP2r
( shift right by 16-23 bits )
@rshift32-2 ( x** n^ -> x<<n )
#10 SUB STH POP2
STHkr SFT ;z3 STA ( write z3 )
#00 STHr SFT2 #00 ;z3 LDA ORA2 ( compute z2,z3 )
STHkr SFT ;m32/z3 STA ( write z3 )
#00 STHr SFT2 #00 ;m32/z3 LDA ORA2 ( compute z2,z3 )
#0000 SWP2
RTN
JMP2r
( shift right by 16-23 bits )
@rshift32-3 ( x** n^ -> x<<n )
#18 SUB STH POP2 POP ( x0 )
#00 SWP #0000 SWP2 ( 00 00 00 x0 )
STHr SFT
RTN
JMP2r
( x << n )
@lshift32 ( x** n^ -> x<<n )
@ -225,70 +222,70 @@
DUP #10 LTH ;lshift32-1 JCN2 ( x n )
DUP #18 LTH ;lshift32-2 JCN2 ( x n )
;lshift32-3 JMP2 ( x n )
RTN
JMP2r
( shift left by 0-7 bits )
@lshift32-0 ( x** n^ -> x<<n )
#40 SFT STH ( stash n<<4 )
#00 SWP STHkr SFT2 ;z2 STA2 ( store z2,z3 )
#00 SWP STHkr SFT2 #00 ;z2 LDA ORA2 ;z1 STA2 ( store z1,z2 )
#00 SWP STHkr SFT2 #00 ;z1 LDA ORA2 ;z0 STA2 ( store z0,z1 )
STHr SFT ;z0 LDA ORA ( calculate z0 )
;z1 LDA ;z2 LDA2
RTN
#00 SWP STHkr SFT2 ;m32/z2 STA2 ( store z2,z3 )
#00 SWP STHkr SFT2 #00 ;m32/z2 LDA ORA2 ;m32/z1 STA2 ( store z1,z2 )
#00 SWP STHkr SFT2 #00 ;m32/z1 LDA ORA2 ;m32/z0 STA2 ( store z0,z1 )
STHr SFT ;m32/z0 LDA ORA ( calculate z0 )
;m32/z1 LDA ;m32/z2 LDA2
JMP2r
( shift left by 8-15 bits )
@lshift32-1 ( x** n^ -> x<<n )
#08 SUB #40 SFT STH ( stash [n-8]<<4 )
#00 SWP STHkr SFT2 ;z1 STA2 ( store z1,z2 )
#00 SWP STHkr SFT2 #00 ;z1 LDA ORA2 ;z0 STA2 ( store z0,z1 )
STHr SFT ;z0 LDA ORA ( calculate z0 )
#00 SWP STHkr SFT2 ;m32/z1 STA2 ( store z1,z2 )
#00 SWP STHkr SFT2 #00 ;m32/z1 LDA ORA2 ;m32/z0 STA2 ( store z0,z1 )
STHr SFT ;m32/z0 LDA ORA ( calculate z0 )
SWP POP ( x0 unused )
;z1 LDA2 #00
RTN
;m32/z1 LDA2 #00
JMP2r
( shift left by 16-23 bits )
@lshift32-2 ( x** n^ -> x<<n )
#10 SUB #40 SFT STH ( stash [n-16]<<4 )
#00 SWP STHkr SFT2 ;z0 STA2 ( store z0,z1 )
STHr SFT ;z0 LDA ORA ( calculate z0 )
#00 SWP STHkr SFT2 ;m32/z0 STA2 ( store z0,z1 )
STHr SFT ;m32/z0 LDA ORA ( calculate z0 )
STH POP2 STHr
;z1 LDA #0000
RTN
;m32/z1 LDA #0000
JMP2r
( shift left by 24-31 bits )
@lshift32-3 ( x** n^ -> x<<n )
#18 SUB #40 SFT ( x0 x1 x2 x3 r=[n-24]<<4 )
SFT ( x0 x1 x2 x3<<r )
SWP2 POP2 SWP POP #0000 #00
RTN
JMP2r
( arithmetic )
( x + y )
@add32 ( xhi* xlo* yhi* ylo* -> zhi* zlo* )
;y2 STA2 ;y0 STA2 ( save ylo, yhi )
;x2 STA2 ;x0 STA2 ( save xlo, xhi )
#0000 #0000 ;z0 STA2 ;z2 STA2 ( reset zhi, zlo )
;m32/y2 STA2 ;m32/y0 STA2 ( save ylo, yhi )
;m32/x2 STA2 ;m32/x0 STA2 ( save xlo, xhi )
#0000 #0000 ;m32/z0 STA2 ;m32/z2 STA2 ( reset zhi, zlo )
( x3 + y3 => z2z3 )
#00 ;x3 LDA #00 ;y3 LDA ADD2 ;z2 STA2
#00 ;m32/x3 LDA #00 ;m32/y3 LDA ADD2 ;m32/z2 STA2
( x2 + y2 + z2 => z1z2 )
#00 ;x2 LDA ;z1 LDA2 ADD2 ;z1 STA2
#00 ;y2 LDA ;z1 LDA2 ADD2 ;z1 STA2
#00 ;m32/x2 LDA ;m32/z1 LDA2 ADD2 ;m32/z1 STA2
#00 ;m32/y2 LDA ;m32/z1 LDA2 ADD2 ;m32/z1 STA2
( x1 + y1 + z1 => z0z1 )
#00 ;x1 LDA ;z0 LDA2 ADD2 ;z0 STA2
#00 ;y1 LDA ;z0 LDA2 ADD2 ;z0 STA2
#00 ;m32/x1 LDA ;m32/z0 LDA2 ADD2 ;m32/z0 STA2
#00 ;m32/y1 LDA ;m32/z0 LDA2 ADD2 ;m32/z0 STA2
( x0 + y0 + z0 => z0 )
;x0 LDA ;z0 LDA ADD ;z0 STA
;y0 LDA ;z0 LDA ADD ;z0 STA
;m32/x0 LDA ;m32/z0 LDA ADD ;m32/z0 STA
;m32/y0 LDA ;m32/z0 LDA ADD ;m32/z0 STA
( load zhi,zlo )
;z0 LDA2 ;z2 LDA2
RTN
;m32/z0 LDA2 ;m32/z2 LDA2
JMP2r
( -x )
@negate32 ( x** -> -x** )
@ -298,36 +295,36 @@
,&done JCN ( xlo non-zero => don't inc hi )
SWP2 INC2 SWP2 ( -xhi -xlo )
&done
RTN
JMP2r
( x - y )
@sub32 ( x** y** -> z** )
;negate32 JSR2 ;add32 JSR2 RTN
;negate32 JSR2 ;add32 JSR2 JMP2r
( 16-bit multiplication )
@mul16 ( x* y* -> z** )
;y1 STA ;y0 STA ( save ylo, yhi )
;x1 STA ;x0 STA ( save xlo, xhi )
#0000 #00 ;z1 STA2 ;z3 STA ( reset z1,z2,z3 )
#0000 #00 ;w0 STA2 ;w2 STA ( reset w0,w1,w2 )
;m32/y1 STA ;m32/y0 STA ( save ylo, yhi )
;m32/x1 STA ;m32/x0 STA ( save xlo, xhi )
#0000 #00 ;m32/z1 STA2 ;m32/z3 STA ( reset z1,z2,z3 )
#0000 #00 ;m32/w0 STA2 ;m32/w2 STA ( reset w0,w1,w2 )
( x1 * y1 => z1z2 )
#00 ;x1 LDA #00 ;y1 LDA MUL2 ;z2 STA2
#00 ;m32/x1 LDA #00 ;m32/y1 LDA MUL2 ;m32/z2 STA2
( x0 * y1 => z0z1 )
#00 ;x0 LDA #00 ;y1 LDA MUL2 ;z1 LDA2 ADD2 ;z1 STA2
#00 ;m32/x0 LDA #00 ;m32/y1 LDA MUL2 ;m32/z1 LDA2 ADD2 ;m32/z1 STA2
( x1 * y0 => w1w2 )
#00 ;x1 LDA #00 ;y0 LDA MUL2 ;w1 STA2
#00 ;m32/x1 LDA #00 ;m32/y0 LDA MUL2 ;m32/w1 STA2
( x0 * y0 => w0w1 )
#00 ;x0 LDA #00 ;y0 LDA MUL2 ;w0 LDA2 ADD2 ;w0 STA2
#00 ;m32/x0 LDA #00 ;m32/y0 LDA MUL2 ;m32/w0 LDA2 ADD2 ;m32/w0 STA2
( add z and a<<8 )
#00 ;z1 LDA2 ;z3 LDA
;w0 LDA2 ;w2 LDA #00
#00 ;m32/z1 LDA2 ;m32/z3 LDA
;m32/w0 LDA2 ;m32/w2 LDA #00
;add32 JSR2
RTN
JMP2r
( x * y )
@mul32 ( x** y** -> z** )
@ -340,7 +337,7 @@
( [x0*y0]<<32 will completely overflow )
ADD2 ,&z0 LDR2 ADD2 ( sum += x0*y1<<16 + x1*y0<<16 )
,&z1 LDR2
RTN
JMP2r
[ &x0 $2 &x1 $2
&y0 $2 &y1 $2
&z0 $2 &z1 $2 ]
@ -348,18 +345,18 @@
@div32 ( x** y** -> q** )
;_divmod32 JSR2
;_divmod32/quo0 LDA2 ;_divmod32/quo1 LDA2
RTN
JMP2r
@mod32 ( x** y** -> r** )
;_divmod32 JSR2
;_divmod32/rem0 LDA2 ;_divmod32/rem1 LDA2
RTN
JMP2r
@divmod32 ( x** y** -> q** r** )
;_divmod32 JSR2
;_divmod32/quo0 LDA2 ;_divmod32/quo1 LDA2
;_divmod32/rem0 LDA2 ;_divmod32/rem1 LDA2
RTN
JMP2r
( calculate and store x / y and x % y )
@_divmod32 ( x** y** -> )
@ -372,7 +369,7 @@
,&div0 LDR2 ,&div1 LDR2
;lt32 JSR2 ,&is-zero JCN ,&not-zero JMP
&is-zero
#0000 ,&quo0 STR2 #0000 ,&quo1 STR2 RTN
#0000 ,&quo0 STR2 #0000 ,&quo1 STR2 JMP2r
( x >= y so the answer is >= 1 )
&not-zero
@ -412,7 +409,7 @@
,&div0 LDR2 ,&div1 LDR2 #01 ;rshift32 JSR2 ,&div1 STR2 ,&div0 STR2 ( div >>= 1 )
,&cur0 LDR2 ,&cur1 LDR2 #01 ;rshift32 JSR2 ,&cur1 STR2 ,&cur0 STR2 ( cur >>= 1 )
,&cur0 LDR2 ,&cur1 LDR2 ;non-zero32 JSR2 ,&loop JCN ( if cur>0, loop. else we're done )
RTN
JMP2r
( greatest common divisor - euclidean algorithm )
@gcd32 ( x** y** -> z** )
@ -432,4 +429,4 @@
,&loop JMP
&done
POP4 ( x )
RTN
JMP2r