.MULT3 STA R ; Store the high byte of (A P+1 P) in R AND #%01111111 ; Set K+2 to |A|, the high byte of K(2 1 0) STA K+2 LDA Q ; Set A to bits 0-6 of Q, so A = |Q| AND #%01111111 BEQ MU5 ; If |Q| = 0, jump to MU5 to set K(3 2 1 0) to 0, ; returning from the subroutine using a tail call SEC ; Set T = |Q| - 1 SBC #1 STA T ; We now use the same shift-and-add algorithm as MULT1 ; to calculate the following: ; ; K(2 1 0) = K(2 1 0) * |Q| ; ; so we start with the first shift right, in which we ; take (K+2 P+1 P) and shift it right, storing the ; result in K(2 1 0), ready for the multiplication loop ; (so the multiplication loop actually calculates ; (|A| P+1 P) * |Q|, as the following sets K(2 1 0) to ; (|A| P+1 P) shifted right) LDA P+1 ; Set A = P+1 LSR K+2 ; Shift the high byte in K+2 to the right ROR A ; Shift the middle byte in A to the right and store in STA K+1 ; K+1 (so K+1 contains P+1 shifted right) LDA P ; Shift the middle byte in P to the right and store in ROR A ; K, so K(2 1 0) now contains (|A| P+1 P) shifted right STA K SETUP_PPU_FOR_ICON_BAR ; If the PPU has started drawing the icon bar, configure ; the PPU to use nametable 0 and pattern table 0 ; We now use the same shift-and-add algorithm as MULT1 ; to calculate the following: ; ; K(2 1 0) = K(2 1 0) * |Q| LDA #0 ; Set A = 0 so we can start building the answer in A LDX #24 ; Set up a counter in X to count the 24 bits in K(2 1 0) .MUL2 BCC P%+4 ; If C (i.e. the next bit from K) is set, do the ADC T ; addition for this bit of K: ; ; A = A + T + C ; = A + |Q| - 1 + 1 ; = A + |Q| ROR A ; Shift A right by one place to catch the next digit ROR K+2 ; next digit of our result in the left end of K(2 1 0), ROR K+1 ; while also shifting K(2 1 0) right to fetch the next ROR K ; bit for the calculation into the C flag ; ; On the last iteration of this loop, the bit falling ; off the end of K will be bit 0 of the original A, as ; we did one shift before the loop and we are doing 24 ; iterations. We set A to 0 before looping, so this ; means the loop exits with the C flag clear DEX ; Decrement the loop counter BNE MUL2 ; Loop back for the next bit until K(2 1 0) has been ; rotated all the way ; The result (|A| P+1 P) * |Q| is now in (A K+2 K+1 K), ; but it is positive and doesn't have the correct sign ; of the final result yet STA T ; Save the high byte of the result into T SETUP_PPU_FOR_ICON_BAR ; If the PPU has started drawing the icon bar, configure ; the PPU to use nametable 0 and pattern table 0 LDA R ; Fetch the sign byte from the original (A P+1 P) ; argument that we stored in R EOR Q ; EOR with Q so the sign bit is the same as that of ; (A P+1 P) * Q AND #%10000000 ; Extract the sign bit ORA T ; Apply this to the high byte of the result in T, so ; that A now has the correct sign for the result, and ; (A K+2 K+1 K) therefore contains the correctly signed ; result STA K+3 ; Store A in K+3, so K(3 2 1 0) now contains the result RTS ; Return from the subroutineName: MULT3 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate K(3 2 1 0) = (A P+1 P) * Q Deep dive: Shift-and-add multiplicationContext: See this subroutine in context in the source code References: This subroutine is called as follows: * MV40 calls MULT3
Calculate the following multiplication between a signed 24-bit number and a signed 8-bit number, returning the result as a signed 32-bit number: K(3 2 1 0) = (A P+1 P) * Q The algorithm is the same shift-and-add algorithm as in routine MULT1, but extended to cope with more bits.
Returns: C flag The C flag is cleared
[X]
Subroutine MU5 (category: Maths (Arithmetic))
Set K(3 2 1 0) = (A A A A) and clear the C flag
[X]
Label MUL2 is local to this routine
[X]
Macro SETUP_PPU_FOR_ICON_BAR (category: PPU)
If the PPU has started drawing the icon bar, configure the PPU to use nametable 0 and pattern table 0