mirror of
https://github.com/deater/dos33fsprogs.git
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tfv: update the multiply code
This commit is contained in:
Vince Weaver
parent
a7f4ec0bc0
commit
f6d358e025
@ -3,7 +3,8 @@
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//#define FIXED_IMPLEMENTATION 0
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//#define FIXED_IMPLEMENTATION 1
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#define FIXED_IMPLEMENTATION 2
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//#define FIXED_IMPLEMENTATION 2
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#define FIXED_IMPLEMENTATION 3
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#if FIXED_IMPLEMENTATION==0
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@ -644,8 +645,8 @@ x_positive:
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if (debug) printf("After: %02x:%02x:%02x:%02x\n",product[3],product[2],product[1],product[0]);
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y_positive:
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*z_i=product[1];
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*z_f=product[0];
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*z_i=product[2];
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*z_f=product[1];
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return (product[3]<<24)|(product[2]<<16)|(product[1]<<8)|product[0];
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// rts ; 6
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@ -653,15 +654,361 @@ y_positive:
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#endif
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#if FIXED_IMPLEMENTATION==3
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// Description: Unsigned 16-bit multiplication with unsigned 32-bit result.
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// Input: 16-bit unsigned value in T1
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// 16-bit unsigned value in T2
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// Carry=0: Re-use T1 from previous multiplication (faster)
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// Carry=1: Set T1 (slower)
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//
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// Output: 32-bit unsigned value in PRODUCT
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// Clobbered: PRODUCT, X, A, C
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// Allocation setup: T1,T2 and PRODUCT preferably on Zero-page.
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// square1_lo, square1_hi, square2_lo, square2_hi must be
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// page aligned. Each table are 512 bytes. Total 2kb.
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//
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// Table generation: I:0..511
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// square1_lo = <((I*I)/4)
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// square1_hi = >((I*I)/4)
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// square2_lo = <(((I-255)*(I-255))/4)
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// square2_hi = >(((I-255)*(I-255))/4)
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static unsigned char square1_lo[512];
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static unsigned char square1_hi[512];
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static unsigned char square2_lo[512];
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static unsigned char square2_hi[512];
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static int table_ready=0;
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static void init_table(void) {
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int i;
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for(i=0;i<512;i++) {
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square1_lo[i]=((i*i)/4)&0xff;
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square1_hi[i]=(((i*i)/4)>>8)&0xff;
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square2_lo[i]=( ((i-255)*(i-255))/4)&0xff;
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square2_hi[i]=(( ((i-255)*(i-255))/4)>>8)&0xff;
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// printf("%d %x:%x %x:%x\n",i,square1_hi[i],square1_lo[i],
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// square2_hi[i],square2_lo[i]);
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}
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table_ready=1;
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// 3 * 2
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// 3+2 = 5
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// 3-2 = 1
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// (25 - 1) = 24/4 = 6
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// int num1l,num2l,a1,a2;
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// num1l=7;
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// num2l=9;
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// printf("Trying %d*%d\n",num1l,num2l);
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// a1=square1_lo[num1l+num2l];
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// printf("((%d+%d)^2)/4: %d\n",num1l,num2l,a1);
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// a2=square2_lo[((~num1l)&0xff)+num2l];
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// printf("((%d-%d)^2)/4: %d\n",num1l,num2l,a2);
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// printf("%d*%d=%d\n",num1l,num2l,a1-a2);
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}
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static unsigned int product[4];
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int fixed_mul_unsigned(int x_i,int x_f,
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int y_i, int y_f,
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int debug) {
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// <T1 * <T2 = AAaa
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// <T1 * >T2 = BBbb
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// >T1 * <T2 = CCcc
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// >T1 * >T2 = DDdd
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//
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// AAaa
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// BBbb
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// CCcc
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// + DDdd
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// ----------
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// PRODUCT!
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// ; Setup T1 if changed
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int c=0;
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int a,x;
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int sm1a,sm3a,sm5a,sm7a;
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int sm2a,sm4a,sm6a,sm8a;
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int sm1b,sm3b,sm5b;//,sm7b;
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int sm2b,sm4b,sm6b;//,sm8b;
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int _AA,_BB,_CC;//,_DD;
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int _aa,_bb,_cc,_dd;
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if (!table_ready) init_table();
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// printf("\t\t\tMultiplying %2x:%2x * %2x:%2x\n",x_i,x_f,y_i,y_f);
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/* Set up self-modifying code */
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if (c==0) {
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a=(x_f)&0xff; // lda T1+0 ; 3
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sm1a=a; // sta sm1a+1 ; 3
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sm3a=a; // sta sm3a+1 ; 3
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sm5a=a; // sta sm5a+1 ; 3
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sm7a=a; // sta sm7a+1 ; 3
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a=(~a)&0xff; // eor #$ff ; 2
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sm2a=a; // sta sm2a+1 ; 3
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sm4a=a; // sta sm4a+1 ; 3
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sm6a=a; // sta sm6a+1 ; 3
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sm8a=a; // sta sm8a+1 ; 3
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a=(x_i)&0xff; // lda T1+1 ; 3
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sm1b=a; // sta sm1b+1 ; 3
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sm3b=a; // sta sm3b+1 ; 3
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sm5b=a; // sta sm5b+1 ; 3
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// sm7b=a; // sta sm7b+1 ; 3
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a=(~a)&0xff; // eor #$ff ; 2
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sm2b=a; // sta sm2b+1 ; 3
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sm4b=a; // sta sm4b+1 ; 3
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sm6b=a; // sta sm6b+1 ; 3
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// sm8b=a; // sta sm8b+1 ; 3
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}
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/* Perform <T1 * <T2 = AAaa */
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x=(y_f)&0xff; // ldx T2+0 (low le) ; 3
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c=1; // sec ; 2
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//sm1a:
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a=square1_lo[sm1a+x]; // lda square1_lo,x ; 4
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//sm2a:
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a+=~(square2_lo[sm2a+x])+c; // sbc square2_lo,x ; 4
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c=!(a&0x100);
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a&=0xff;
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// printf("\t\t\t\ta=(%d+%d)^2/4=%d "
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// "b=(%d+%d)^2/4=%d\n",
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// sm1a,x,square1_lo[sm1a+x],
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// sm2a,x,square2_lo[sm2a+x]);
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// product[0]=a; // sta PRODUCT+0 ; 3
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// _aa=a;
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// printf("\t\t\t\ta-b aa=%2x\n",a);
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//sm3a:
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a=square1_hi[sm3a+x]; // lda square1_hi,x ; 4
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//sm4a:
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a+=(~(square2_hi[sm4a+x]))+c; // sbc square2_hi,x ; 4
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c=!(a&0x100);
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a&=0xff;
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// printf("\t\t\t\ta=%d b=%d\n",square1_hi[sm3a+x],square2_hi[sm4a+x]);
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_AA=a; // sta _AA+1 ; 3
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// printf("\t\t\t\tAA=%2x\n",a);
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/* Perform >T1_hi * <T2 = CCcc */
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c=1; // sec ; 2
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//sm1b:
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a=square1_lo[sm1b+x]; // lda square1_lo,x ; 4
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//sm2b:
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a+=(~(square2_lo[sm2b+x]))+c; // sbc square2_lo,x ; 4
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c=!(a&0x100);
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a&=0xff;
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_cc=a; // sta _cc+1 ; 3
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//sm3b:
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a=square1_hi[sm3b+x]; // lda square1_hi,x ; 4
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//sm4b:
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a+=(~(square2_hi[sm4b+x]))+c; // sbc square2_hi,x ; 4
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c=!!(a&0x100);
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a&=0xff;
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_CC=a; // sta _CC+1 ; 3
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/* Perform <T1 * >T2 = BBbb */
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x=(y_i)&0xff; // ldx T2+1 ; 3
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c=1; // sec ; 2
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//sm5a:
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a=square1_lo[sm5a+x]; // lda square1_lo,x ; 4
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//sm6a:
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a+=(~(square2_lo[sm6a+x]))+c; // sbc square2_lo,x ; 4
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c=!(a&0x100);
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a&=0xff;
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_bb=a; // sta _bb+1 ; 3
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// printf("\t\t\t\tbb=%x c=%d\n",_bb,c);
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//sm7a:
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a=square1_hi[sm7a+x]; // lda square1_hi,x ; 4
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//sm8a:
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a+=(~(square2_hi[sm8a+x]))+c; // sbc square2_hi,x ; 4
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c=!(a&0x100);
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a&=0xff;
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_BB=a; // sta _BB+1
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/* Perform >T1 * >T2 = DDdd */
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c=1; // sec ; 2
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//sm5b:
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a=square1_lo[sm5b+x]; // lda square1_lo,x ; 4
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//sm6b:
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a+=(~(square2_lo[sm6b+x]))+c; // sbc square2_lo,x ; 4
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c=!(a&0x100);
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a&=0xff;
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_dd=a; // sta _dd+1 ; 3
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//sm7b:
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// a=square1_hi[sm7b+x]; // lda square1_hi,x ; 4
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//sm8b:
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// a+=(~(square2_hi[sm8b+x]))+c; // sbc square2_hi,x ; 4
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// c=!(a&0x100);
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// a&=0xff;
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// product[3]=a; // sta PRODUCT+3 ; 3
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// _DD=a;
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/*********************************************/
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/* Add the separate multiplications together */
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/*********************************************/
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// product[0]=_aa;
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// if (debug) printf("product[0]=0.%02x\n",_aa);
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// product[1]=_AA+_bb+(_cc)
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if (debug) printf("product[1]=%02x+%02x+0=",_AA,_bb);
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c=0; // clc ; 2
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//_AA:
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a=_AA; // lda #0 ; 2
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//_bb:
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a+=(c+_bb); // adc #0 ; 2
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c=!!(a&0x100);
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a&=0xff;
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product[1]=a; // sta PRODUCT+1 ; 3
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if (debug) printf("%x.%02x\n",c,a);
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// product[2]=_BB+_CC+c
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if (debug) printf("product[2]=%02x+%02x+%d=",_BB,_CC,c);
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//_BB:
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a=_BB; // lda #0 ; 2
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//_CC:
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a+=(c+_CC); // adc #0 ; 2
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c=!!(a&0x100);
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a&=0xff;
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product[2]=a; // sta PRODUCT+2 ; 3
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if (debug) printf("%x.%02x\n",c,a);
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// product[3]=_DD+c
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// if (debug) printf("product[3]=%02x+%d=",_DD,c);
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// if (c==0) goto urgh2; // bcc :+ ; 2nt/3
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// product[3]++; // inc PRODUCT+3 ; 5
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// product[3]&=0xff;
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c=0; // clc ; 2
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//urgh2:
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// if (debug) printf("%x.%02x\n",c,product[3]);
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// product[1]=_AA+_bb+_cc
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// if (debug) printf("product[1]=%02x+%02x+%d=",product[1],_cc,c);
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//_cc:
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a=_cc; // lda #0 ; 2
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a+=c+product[1]; // adc PRODUCT+1 ; 3
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c=!!(a&0x100);
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a&=0xff;
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product[1]=a; // sta PRODUCT+1 ; 3
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if (debug) printf("%x.%02x\n",c,product[1]);
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// product[2]=_BB+_CC+_dd+c
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if (debug) printf("product[2]=%02x+%02x+%d=",product[2],_dd,c);
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//_dd:
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a=_dd; // lda #0 ; 2
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a+=c+product[2]; // adc PRODUCT+2 ; 3
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c=!!(a&0x100);
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a&=0xff;
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product[2]=a; // sta PRODUCT+2 ; 3
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if (debug) printf("%x.%02x\n",c,product[2]);
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// product[3]=_DD+c
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// if (debug) printf("product[3]=%02x+%d=",product[3],c);
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// if (c==0) goto urgh; // bcc :+ ; 2nt/3
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// product[3]++; // inc PRODUCT+3 ; 5
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// product[3]&=0xff;
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//urgh:
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// if (debug) printf("%x.%02x\n",c,product[3]);
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// printf("Result=%02x:%02x\n",*z_i,*z_f);
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// if (debug) {
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// printf(" AAaa %02x:%02x\n",_AA,_aa);
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// printf(" BBbb %02x:%02x\n",_BB,_bb);
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// printf(" CCcc %02x:%02x\n",_CC,_cc);
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// printf("DDdd %02x:%02x\n",_DD,_dd);
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// }
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return 0;
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//(product[3]<<24)|(product[2]<<16)|(product[1]<<8)|product[0];
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// rts ; 6
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}
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/* signed */
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int fixed_mul(int x_i,int x_f,
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int y_i, int y_f,
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int *z_i, int *z_f,
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int debug) {
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int a,c;
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fixed_mul_unsigned(x_i,x_f,y_i,y_f,debug);
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// jsr multiply_16bit_unsigned ; 6
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a=(x_i&0xff); // lda T1+1 ; 3
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if ((a&0x80)==0) goto x_positive; // bpl :+ ; 3/2nt
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if (debug) printf("Before: %02x:%02x:%02x:%02x\n",product[3],product[2],product[1],product[0]);
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c=1; // sec ; 2
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a=product[2]; // lda PRODUCT+2 ; 3
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a+=(~y_f)+c; // sbc T2+0 ; 3
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c=!(a&0x100);
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a&=0xff;
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product[2]=a; // sta PRODUCT+2 ; 3
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// a=product[3]; // lda PRODUCT+3 ; 3
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// a+=(~y_i)+c; // sbc T2+1 ; 3
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// c=!(a&0x100);
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// a&=0xff;
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// product[3]=a; // sta PRODUCT+3 ; 3
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if (debug) printf("After: %02x:%02x:%02x:%02x\n",product[3],product[2],product[1],product[0]);
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x_positive:
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a=(y_i&0xff); // lda T2+1 ; 3
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if ((a&0x80)==0) goto y_positive; // bpl :+ ; 3/2nt
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if (debug) printf("Before: %02x:%02x:%02x:%02x\n",product[3],product[2],product[1],product[0]);
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c=1; // sec ; 2
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a=product[2]; // lda PRODUCT+2 ; 3
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a+=(~x_f)+c; // sbc T1+0 ; 3
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c=!(a&0x100);
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a&=0xff;
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product[2]=a; // sta PRODUCT+2 ; 3
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// a=product[3]; // lda PRODUCT+3 ; 3
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// a+=(~x_i)+c; // sbc T1+1 ; 3
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// c=!(a&0x100);
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// a&=0xff;
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// product[3]=a; // sta PRODUCT+3 ; 3
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if (debug) printf("After: %02x:%02x:%02x:%02x\n",product[3],product[2],product[1],product[0]);
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y_positive:
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*z_i=product[2];
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*z_f=product[1];
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// return (product[3]<<24)|(product[2]<<16)|(product[1]<<8)|product[0];
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return 0;
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// rts ; 6
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}
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#endif
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int main(int argc, char **argv) {
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int a_i,b_i,c_i;
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int a_f,b_f,c_f;
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short x,y;
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int k,i,j;
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int l,k,i,j;
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printf("Some tests\n");
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#if 0
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x=-32768;
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y=3;
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@ -793,6 +1140,29 @@ int main(int argc, char **argv) {
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}
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if (i%256==0) printf("%x\n",i);
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}
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#endif
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for(i=-32768;i<32768;i++) {
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for(j=-32768;j<32768;j++) {
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a_i=i>>8;
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a_f=i&0xff;
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b_i=j>>8;
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b_f=j&0xff;
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fixed_mul(a_i,a_f,b_i,b_f,&c_i,&c_f,0);
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k=((i*j)>>8)&0xffff;
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l=(c_i<<8)|(c_f);
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if (k!=l) {
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printf("WRONG! %x*%x = %x, %x not %02x:%02x\n",
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i,j,i*j,k,c_i,c_f);
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printf(" %d * %d = %d not %d\n",i,j,l,k);
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exit(1);
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}
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}
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if (i%256==0) printf("%x\n",i);
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}
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return 0;
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}
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