CODE_G% = P% LOAD_G% = LOAD% + P% - CODE% ALIGN 256 \ Align the log tables so they start on page boundariesELITE G FILE Produces the binary file ELTG.bin that gets loaded by elite-bcfs.asm..log SKIP 1 FOR I%, 1, 255 B% = INT(&2000 * LOG(I%) / LOG(2) + 0.5) EQUB B% DIV 256 NEXTName: log [Show more] Type: Variable Category: Maths (Arithmetic) Summary: Binary logarithm table (high byte)Context: See this variable on its own page Variations: See code variations for this variable in the different versions References: This variable is used as follows: * FMLTU calls log * LL28 calls log

At byte n, the table contains the high byte of: &2000 * log10(n) / log10(2) = 32 * 256 * log10(n) / log10(2) where log10 is the logarithm to base 10. The change-of-base formula says that: log2(n) = log10(n) / log10(2) so byte n contains the high byte of: 32 * log2(n) * 256.logL SKIP 1 FOR I%, 1, 255 B% = INT(&2000 * LOG(I%) / LOG(2) + 0.5) EQUB B% MOD 256 NEXTName: logL [Show more] Type: Variable Category: Maths (Arithmetic) Summary: Binary logarithm table (low byte)Context: See this variable on its own page Variations: See code variations for this variable in the different versions References: This variable is used as follows: * FMLTU calls logL * LL28 calls logL

Byte n contains the low byte of: 32 * log2(n) * 256.antilog FOR I%, 0, 255 B% = INT(2^((I% / 2 + 128) / 16) + 0.5) DIV 256 IF B% = 256 EQUB B%+1 ELSE EQUB B% ENDIF NEXTName: antilog [Show more] Type: Variable Category: Maths (Arithmetic) Summary: Binary antilogarithm tableContext: See this variable on its own page Variations: See code variations for this variable in the different versions References: This variable is used as follows: * FMLTU calls antilog * LL28 calls antilog

At byte n, the table contains: 2^((n / 2 + 128) / 16) / 256 which equals: 2^(n / 32 + 8) / 256.antilogODD FOR I%, 0, 255 B% = INT(2^((I% / 2 + 128.25) / 16) + 0.5) DIV 256 IF B% = 256 EQUB B%+1 ELSE EQUB B% ENDIF NEXTName: antilogODD [Show more] Type: Variable Category: Maths (Arithmetic) Summary: Binary antilogarithm tableContext: See this variable on its own page References: This variable is used as follows: * FMLTU calls antilogODD * LL28 calls antilogODD

At byte n, the table contains: 2^((n / 2 + 128.25) / 16) / 256 which equals: 2^(n / 32 + 8.015625) / 256 = 2^(n / 32 + 8) * 2^(.015625) / 256 = (2^(n / 32 + 8) + 1) / 256.SHPPT JSR EE51 \ Call EE51 to remove the ship's wireframe from the \ screen, if there is one JSR PROJ \ Project the ship onto the screen, returning: \ \ * K3(1 0) = the screen x-coordinate \ * K4(1 0) = the screen y-coordinate \ * A = K4+1 ORA K3+1 \ If either of the high bytes of the screen coordinates BNE nono \ are non-zero, jump to nono as the ship is off-screen LDA K4 \ Set A = the y-coordinate of the dot CMP #Y*2-2 \ If the y-coordinate is bigger than the y-coordinate of BCS nono \ the bottom of the screen, jump to nono as the ship's \ dot is off the bottom of the space view LDY #2 \ Call Shpt with Y = 2 to set up bytes 1-4 in the ship JSR Shpt \ lines space, aborting the call to LL9 if the dot is \ off the side of the screen. This call sets up the \ first row of the dot (i.e. a four-pixel dash) LDY #6 \ Set Y to 6 for the next call to Shpt LDA K4 \ Set A = y-coordinate of dot + 1 (so this is the second ADC #1 \ row of the two-pixel-high dot) JSR Shpt \ Call Shpt with Y = 6 to set up bytes 5-8 in the ship \ lines space, aborting the call to LL9 if the dot is \ off the side of the screen. This call sets up the \ second row of the dot (i.e. another four-pixel dash, \ on the row below the first one) LDA #%00001000 \ Set bit 3 of the ship's byte #31 to record that we ORA XX1+31 \ have now drawn something on-screen for this ship STA XX1+31 LDA #9 \ Set A = 9 so when we call LL18+2 next, byte #0 of the \ heap gets set to 9, to cover the 9 bytes we just stuck \ on the heap JMP LL81+2 \ Call LL81+2 to draw the ship's dot, returning from the \ subroutine using a tail call PLA \ Pull the return address from the stack, so the RTS PLA \ below actually returns from the subroutine that called \ LL9 (as we called SHPPT from LL9 with a JMP) .nono LDA #%11110111 \ Clear bit 3 of the ship's byte #31 to record that AND XX1+31 \ nothing is being drawn on-screen for this ship STA XX1+31 RTS \ Return from the subroutine .Shpt \ This routine sets up four bytes in the ship line heap, \ from byte Y-1 to byte Y+2. If the ship's screen point \ turns out to be off-screen, then this routine aborts \ the entire call to LL9, exiting via nono. The four \ bytes define a horizontal 4-pixel dash, for either the \ top or the bottom of the ship's dot STA (XX19),Y \ Store A in byte Y of the ship line heap INY \ Store A in byte Y+2 of the ship line heap INY STA (XX19),Y LDA K3 \ Set A = screen x-coordinate of the ship dot DEY \ Store A in byte Y+1 of the ship line heap STA (XX19),Y ADC #3 \ Set A = screen x-coordinate of the ship dot + 3 BCS nono-2 \ If the addition pushed the dot off the right side of \ the screen, jump to nono-2 to return from the parent \ subroutine early (i.e. LL9). This works because we \ called Shpt from above with a JSR, so nono-2 removes \ that return address from the stack, leaving the next \ return address exposed. LL9 called SHPPT with a JMP. \ so the next return address is the one that was put on \ the stack by the original call to LL9. So the RTS in \ nono will actually return us from the original call \ to LL9, thus aborting the entire drawing process DEY \ Store A in byte Y-1 of the ship line heap DEY STA (XX19),Y RTS \ Return from the subroutineName: SHPPT [Show more] Type: Subroutine Category: Drawing ships Summary: Draw a distant ship as a point rather than a full wireframeContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * LL9 (Part 2 of 12) calls SHPPT.LL5 LDY R \ Set (Y S) = (R Q) LDA Q STA S \ So now to calculate Q = SQRT(Y S) LDX #0 \ Set X = 0, to hold the remainder STX Q \ Set Q = 0, to hold the result LDA #8 \ Set T = 8, to use as a loop counter STA T .LL6 CPX Q \ If X < Q, jump to LL7 BCC LL7 BNE LL8 \ If X > Q, jump to LL8 CPY #64 \ If Y < 64, jump to LL7 with the C flag clear, BCC LL7 \ otherwise fall through into LL8 with the C flag set .LL8 TYA \ Set Y = Y - 64 SBC #64 \ TAY \ This subtraction will work as we know C is set from \ the BCC above, and the result will not underflow as we \ already checked that Y >= 64, so the C flag is also \ set for the next subtraction TXA \ Set X = X - Q SBC Q TAX .LL7 ROL Q \ Shift the result in Q to the left, shifting the C flag \ into bit 0 and bit 7 into the C flag ASL S \ Shift the dividend in (Y S) to the left, inserting TYA \ bit 7 from above into bit 0 ROL A TAY TXA \ Shift the remainder in X to the left ROL A TAX ASL S \ Shift the dividend in (Y S) to the left TYA ROL A TAY TXA \ Shift the remainder in X to the left ROL A TAX DEC T \ Decrement the loop counter BNE LL6 \ Loop back to LL6 until we have done 8 loops RTS \ Return from the subroutineName: LL5 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate Q = SQRT(R Q) Deep dive: Calculating square rootsContext: See this subroutine on its own page References: This subroutine is called as follows: * HAS1 calls LL5 * Main flight loop (Part 15 of 16) calls LL5 * NORM calls LL5 * SUN (Part 3 of 4) calls LL5 * TT111 calls LL5

Calculate the following square root: Q = SQRT(R Q).LL28 CMP Q \ If A >= Q, then the answer will not fit in one byte, BCS LL2 \ so jump to LL2 to return 255 STA widget \ Store A in widget, so now widget = argument A TAX \ Transfer A into X, so now X = argument A BEQ LLfix \ If A = 0, jump to LLfix to return a result of 0, as \ 0 * Q / 256 is always 0 \ We now want to calculate log(A) + log(Q), first adding \ the low bytes (from the logL table), and then the high \ bytes (from the log table) LDA logL,X \ Set A = low byte of log(X) \ = low byte of log(A) (as we set X to A above) LDX Q \ Set X = Q SEC \ Set A = A - low byte of log(Q) SBC logL,X \ = low byte of log(A) - low byte of log(Q) BMI noddlog \ If the subtraction is negative, jump to noddlog LDX widget \ Set A = high byte of log(A) - high byte of log(Q) LDA log,X LDX Q SBC log,X BCS LL2 \ If the subtraction fitted into one byte and didn't \ underflow, then log(A) - log(Q) < 256, so we jump to \ LL2 return a result of 255 TAX \ Otherwise we return the A-th entry from the antilog LDA antilog,X \ table .LLfix STA R \ Set the result in R to the value of A RTS \ Return from the subroutine .noddlog LDX widget \ Set A = high byte of log(A) - high byte of log(Q) LDA log,X LDX Q SBC log,X BCS LL2 \ If the subtraction fitted into one byte and didn't \ underflow, then log(A) - log(Q) < 256, so we jump to \ LL2 to return a result of 255 TAX \ Otherwise we return the A-th entry from the antilogODD LDA antilogODD,X \ table STA R \ Set the result in R to the value of A RTS \ Return from the subroutine .LL31 ASL A \ Shift A to the left BCS LL29 \ If bit 7 of A was set, then jump straight to the \ subtraction CMP Q \ If A < Q, skip the following subtraction BCC P%+4 SBC Q \ A >= Q, so set A = A - Q ROL R \ Rotate the counter in R to the left, and catch the \ result bit into bit 0 (which will be a 0 if we didn't \ do the subtraction, or 1 if we did) BCS LL31 \ If we still have set bits in R, loop back to LL31 to \ do the next iteration of 7 RTS \ R left with remainder of division .LL29 SBC Q \ A >= Q, so set A = A - Q SEC \ Set the C flag to rotate into the result in R ROL R \ Rotate the counter in R to the left, and catch the \ result bit into bit 0 (which will be a 0 if we didn't \ do the subtraction, or 1 if we did) BCS LL31 \ If we still have set bits in R, loop back to LL31 to \ do the next iteration of 7 LDA R \ Set A to the remainder in R RTS \ Return from the subroutine with R containing the \ remainder of the division .LL2 LDA #255 \ The division is very close to 1, so return the closest STA R \ possible answer to 256, i.e. R = 255 RTS \ Return from the subroutineName: LL28 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate R = 256 * A / Q Deep dive: Multiplication and division using logarithmsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * ARCTAN calls LL28 * LL145 (Part 3 of 4) calls LL28 * LL61 calls LL28 * LL9 (Part 3 of 12) calls LL28 * LL9 (Part 8 of 12) calls LL28 * DVID4 calls entry point LL28+4 * DVID3B2 calls entry point LL31

Calculate the following, where A < Q: R = 256 * A / Q This is a sister routine to LL61, which does the division when A >= Q. If A >= Q then 255 is returned and the C flag is set to indicate an overflow (the C flag is clear if the division was a success). The result is returned in one byte as the result of the division multiplied by 256, so we can return fractional results using integers. This routine uses the same logarithm algorithm that's documented in FMLTU, except it subtracts the logarithm values, to do a division instead of a multiplication. Returns: C flag Set if the answer is too big for one byte, clear if the division was a success Other entry points: LL28+4 Skips the A >= Q check and always returns with C flag cleared, so this can be called if we know the division will work LL31 Skips the A >= Q check and does not set the R counter, so this can be used for jumping straight into the division loop if R is already set to 254 and we know the division will work.LL38 EOR S \ If the sign of A * S is negative, skip to LL35, as BMI LL39 \ A and S have different signs so we need to subtract LDA Q \ Otherwise set A = R + Q, which is the result we need, CLC \ as S already contains the correct sign ADC R RTS \ Return from the subroutine .LL39 LDA R \ Set A = R - Q SEC SBC Q BCC P%+4 \ If the subtraction underflowed, skip the next two \ instructions so we can negate the result CLC \ Otherwise the result is correct, and S contains the \ correct sign of the result as R is the dominant side \ of the subtraction, so clear the C flag RTS \ And return from the subroutine \ If we get here we need to negate both the result and \ the sign in S, as both are the wrong sign PHA \ Store the result of the subtraction on the stack LDA S \ Flip the sign of S EOR #%10000000 STA S PLA \ Restore the subtraction result into A EOR #%11111111 \ Negate the result in A using two's complement, i.e. ADC #1 \ set A = ~A + 1 RTS \ Return from the subroutineName: LL38 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate (S A) = (S R) + (A Q)Context: See this subroutine on its own page References: This subroutine is called as follows: * LL51 calls LL38 * LL9 (Part 5 of 12) calls LL38

Calculate the following between sign-magnitude numbers: (S A) = (S R) + (A Q) where the sign bytes only contain the sign bits, not magnitudes. Returns: C flag Set if the addition overflowed, clear otherwise.LL51 LDX #0 \ Set X = 0, which will contain the offset of the vector \ to use in the calculation, increasing by 6 for each \ new vector LDY #0 \ Set Y = 0, which will contain the offset of the \ result bytes in XX12, increasing by 2 for each new \ result .ll51 LDA XX15 \ Set Q = x_lo STA Q LDA XX16,X \ Set A = |sidev_x| JSR FMLTU \ Set T = A * Q / 256 STA T \ = |sidev_x| * x_lo / 256 LDA XX15+1 \ Set S to the sign of x_sign * sidev_x EOR XX16+1,X STA S LDA XX15+2 \ Set Q = y_lo STA Q LDA XX16+2,X \ Set A = |sidev_y| JSR FMLTU \ Set Q = A * Q / 256 STA Q \ = |sidev_y| * y_lo / 256 LDA T \ Set R = T STA R \ = |sidev_x| * x_lo / 256 LDA XX15+3 \ Set A to the sign of y_sign * sidev_y EOR XX16+3,X JSR LL38 \ Set (S T) = (S R) + (A Q) STA T \ = |sidev_x| * x_lo + |sidev_y| * y_lo LDA XX15+4 \ Set Q = z_lo STA Q LDA XX16+4,X \ Set A = |sidev_z| JSR FMLTU \ Set Q = A * Q / 256 STA Q \ = |sidev_z| * z_lo / 256 LDA T \ Set R = T STA R \ = |sidev_x| * x_lo + |sidev_y| * y_lo LDA XX15+5 \ Set A to the sign of z_sign * sidev_z EOR XX16+5,X JSR LL38 \ Set (S A) = (S R) + (A Q) \ = |sidev_x| * x_lo + |sidev_y| * y_lo \ + |sidev_z| * z_lo STA XX12,Y \ Store the result in XX12+Y(1 0) LDA S STA XX12+1,Y INY \ Set Y = Y + 2 INY TXA \ Set X = X + 6 CLC ADC #6 TAX CMP #17 \ If X < 17, loop back to ll51 for the next vector BCC ll51 RTS \ Return from the subroutineName: LL51 [Show more] Type: Subroutine Category: Maths (Geometry) Summary: Calculate the dot product of XX15 and XX16Context: See this subroutine on its own page References: This subroutine is called as follows: * LL9 (Part 5 of 12) calls LL51 * LL9 (Part 6 of 12) calls LL51

Calculate the following dot products: XX12(1 0) = XX15(5 0) . XX16(5 0) XX12(3 2) = XX15(5 0) . XX16(11 6) XX12(5 4) = XX15(5 0) . XX16(12 17) storing the results as sign-magnitude numbers in XX12 through XX12+5. When called from part 5 of LL9, XX12 contains the vector [x y z] to the ship we're drawing, and XX16 contains the orientation vectors, so it returns: [ x ] [ sidev_x ] [ x ] [ roofv_x ] [ x ] [ nosev_x ] [ y ] . [ sidev_y ] [ y ] . [ roofv_y ] [ y ] . [ nosev_y ] [ z ] [ sidev_z ] [ z ] [ roofv_z ] [ z ] [ nosev_z ] When called from part 6 of LL9, XX12 contains the vector [x y z] of the vertex we're analysing, and XX16 contains the transposed orientation vectors with each of them containing the x, y and z elements of the original vectors, so it returns: [ x ] [ sidev_x ] [ x ] [ sidev_y ] [ x ] [ sidev_z ] [ y ] . [ roofv_x ] [ y ] . [ roofv_y ] [ y ] . [ roofv_z ] [ z ] [ nosev_x ] [ z ] [ nosev_y ] [ z ] [ nosev_z ] Arguments: XX15(1 0) The ship (or vertex)'s x-coordinate as (x_sign x_lo) XX15(3 2) The ship (or vertex)'s y-coordinate as (y_sign y_lo) XX15(5 4) The ship (or vertex)'s z-coordinate as (z_sign z_lo) XX16 to XX16+5 The scaled sidev (or _x) vector, with: * x, y, z magnitudes in XX16, XX16+2, XX16+4 * x, y, z signs in XX16+1, XX16+3, XX16+5 XX16+6 to XX16+11 The scaled roofv (or _y) vector, with: * x, y, z magnitudes in XX16+6, XX16+8, XX16+10 * x, y, z signs in XX16+7, XX16+9, XX16+11 XX16+12 to XX16+17 The scaled nosev (or _z) vector, with: * x, y, z magnitudes in XX16+12, XX16+14, XX16+16 * x, y, z signs in XX16+13, XX16+15, XX16+17 Returns: XX12(1 0) The dot product of [x y z] vector with the sidev (or _x) vector, with the sign in XX12+1 and magnitude in XX12 XX12(3 2) The dot product of [x y z] vector with the roofv (or _y) vector, with the sign in XX12+3 and magnitude in XX12+2 XX12(5 4) The dot product of [x y z] vector with the nosev (or _z) vector, with the sign in XX12+5 and magnitude in XX12+4.LL25 JMP PLANET \ Jump to the PLANET routine, returning from the \ subroutine using a tail call .LL9 LDX TYPE \ If the ship type is negative then this indicates a BMI LL25 \ planet or sun, so jump to PLANET via LL25 above LDA shpcol,X \ Set A to the ship colour for this type, from the X-th \ entry in the shpcol table JSR DOCOL \ Send a #SETCOL command to the I/O processor to switch \ to this colour LDA #31 \ Set XX4 = 31 to store the ship's distance for later STA XX4 \ comparison with the visibility distance. We will \ update this value below with the actual ship's \ distance if it turns out to be visible on-screen LDA NEWB \ If bit 7 of the ship's NEWB flags is set, then the BMI EE51 \ ship has been scooped or has docked, so jump down to \ EE51 to redraw its wireframe, to remove it from the \ screen LDA #%00100000 \ If bit 5 of the ship's byte #31 is set, then the ship BIT XX1+31 \ is currently exploding, so jump down to EE28 BNE EE28 BPL EE28 \ If bit 7 of the ship's byte #31 is clear then the ship \ has not just been killed, so jump down to EE28 \ Otherwise bit 5 is clear and bit 7 is set, so the ship \ is not yet exploding but it has been killed, so we \ need to start an explosion ORA XX1+31 \ Clear bits 6 and 7 of the ship's byte #31, to stop the AND #%00111111 \ ship from firing its laser and to mark it as no longer STA XX1+31 \ having just been killed LDA #0 \ Set the ship's acceleration in byte #31 to 0, updating LDY #28 \ the byte in the workspace K% data block so we don't STA (INF),Y \ have to copy it back from INWK later LDY #30 \ Set the ship's pitch counter in byte #30 to 0, to stop STA (INF),Y \ the ship from pitching JSR EE51 \ Call EE51 to remove the ship from the screen \ We now need to set up a new explosion cloud. We \ initialise it with a size of 18 (which gets increased \ by 4 every time the cloud gets redrawn), and the \ explosion count (i.e. the number of particles in the \ explosion), which go into bytes 1 and 2 of the ship \ line heap. See DOEXP for more details of explosion \ clouds LDY #1 \ Set byte #1 of the ship line heap to 18, the initial LDA #18 \ size of the explosion cloud STA (XX19),Y LDY #7 \ Fetch byte #7 from the ship's blueprint, which LDA (XX0),Y \ determines the explosion count (i.e. the number of LDY #2 \ vertices used as origins for explosion clouds), and STA (XX19),Y \ store it in byte #2 of the ship line heap \ The following loop sets bytes 3-6 of the of the ship \ line heap to random numbers .EE55 INY \ Increment Y (so the loop starts at 3) JSR DORND \ Set A and X to random numbers STA (XX19),Y \ Store A in the Y-th byte of the ship line heap CPY #6 \ Loop back until we have randomised the 6th byte BNE EE55 .EE28 LDA XX1+8 \ Set A = z_sign .EE49 BPL LL10 \ If A is positive, i.e. the ship is in front of us, \ jump down to LL10 .LL14 \ The following removes the ship from the screen by \ redrawing it (or, if it is exploding, by redrawing the \ explosion cloud). We call it when the ship is no \ longer on-screen, is too far away to be fully drawn, \ and so on LDA XX1+31 \ If bit 5 of the ship's byte #31 is clear, then the AND #%00100000 \ ship is not currently exploding, so jump down to EE51 BEQ EE51 \ to redraw its wireframe LDA XX1+31 \ The ship is exploding, so clear bit 3 of the ship's AND #%11110111 \ byte #31 to denote that the ship is no longer being STA XX1+31 \ drawn on-screen JMP DOEXP \ Jump to DOEXP to display the explosion cloud, which \ will remove it from the screen, returning from the \ subroutine using a tail call .EE51 LDA #%00001000 \ If bit 3 of the ship's byte #31 is clear, then there BIT XX1+31 \ is already nothing being shown for this ship, so BEQ LL10-1 \ return from the subroutine (as LL10-1 contains an RTS) EOR XX1+31 \ Otherwise flip bit 3 of byte #31 and store it (which STA XX1+31 \ clears bit 3 as we know it was set before the EOR), so \ this sets this ship as no longer being drawn on-screen JMP LL155 \ Jump to LL155 to draw the ship, which removes it from \ the screen, returning from the subroutine using a \ tail call RTS \ Return from the subroutineName: LL9 (Part 1 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Check if ship is exploding, check if ship is in front Deep dive: Drawing shipsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * BRIEF calls LL9 * DEMON calls LL9 * ESCAPE calls LL9 * HAS1 calls LL9 * Main flight loop (Part 12 of 16) calls LL9 * PAS1 calls LL9 * PAUSE calls LL9 * TITLE calls LL9 * LL9 (Part 1 of 12) calls entry point EE51 * SHPPT calls entry point EE51

This routine draws the current ship on the screen. This part checks to see if the ship is exploding, or if it should start exploding, and if it does it sets things up accordingly. It also does some basic checks to see if we can see the ship, and if not it removes it from the screen. In this code, XX1 is used to point to the current ship's data block at INWK (the two labels are interchangeable). Arguments: XX1 XX1 shares its location with INWK, which contains the zero-page copy of the data block for this ship from the K% workspace INF The address of the data block for this ship in workspace K% XX19(1 0) XX19(1 0) shares its location with INWK(34 33), which contains the ship line heap address pointer XX0 The address of the blueprint for this ship Returns: X If NEEDKEY is non-zero, scan the keyboard for a key press and return the internal key number in X (or 0 for no key press) Other entry points: EE51 Remove the current ship from the screen, called from SHPPT before drawing the ship as a point.LL10 LDA XX1+7 \ Set A = z_hi CMP #192 \ If A >= 192 then the ship is a long way away, so jump BCS LL14 \ to LL14 to remove the ship from the screen LDA XX1 \ If x_lo >= z_lo, set the C flag, otherwise clear it CMP XX1+6 LDA XX1+1 \ Set A = x_hi - z_hi using the carry from the low SBC XX1+7 \ bytes, which sets the C flag as if we had done a full \ two-byte subtraction (x_hi x_lo) - (z_hi z_lo) BCS LL14 \ If the C flag is set then x >= z, so the ship is \ further to the side than it is in front of us, so it's \ outside our viewing angle of 45 degrees, and we jump \ to LL14 to remove it from the screen LDA XX1+3 \ If y_lo >= z_lo, set the C flag, otherwise clear it CMP XX1+6 LDA XX1+4 \ Set A = y_hi - z_hi using the carry from the low SBC XX1+7 \ bytes, which sets the C flag as if we had done a full \ two-byte subtraction (y_hi y_lo) - (z_hi z_lo) BCS LL14 \ If the C flag is set then y >= z, so the ship is \ further above us than it is in front of us, so it's \ outside our viewing angle of 45 degrees, and we jump \ to LL14 to remove it from the screen LDY #6 \ Fetch byte #6 from the ship's blueprint into X, which LDA (XX0),Y \ is the number * 4 of the vertex used for the ship's TAX \ laser LDA #255 \ Set bytes X and X+1 of the XX3 heap to 255. We're STA XX3,X \ going to use XX3 to store the screen coordinates of STA XX3+1,X \ all the visible vertices of this ship, so setting the \ laser vertex to 255 means that if we don't update this \ vertex with its screen coordinates in parts 6 and 7, \ this vertex's entry in the XX3 heap will still be 255, \ which we can check in part 9 to see if the laser \ vertex is visible (and therefore whether we should \ draw laser lines if the ship is firing on us) LDA XX1+6 \ Set (A T) = (z_hi z_lo) STA T LDA XX1+7 LSR A \ Set (A T) = (A T) / 8 ROR T LSR A ROR T LSR A ROR T LSR A \ If A >> 4 is non-zero, i.e. z_hi >= 16, jump to LL13 BNE LL13 \ as the ship is possibly far away enough to be shown as \ a dot LDA T \ Otherwise the C flag contains the previous bit 0 of A, ROR A \ which could have been set, so rotate A right four LSR A \ times so it's in the form %000xxxxx, i.e. z_hi reduced LSR A \ to a maximum value of 31 LSR A STA XX4 \ Store A in XX4, which is now the distance of the ship \ we can use for visibility testing BPL LL17 \ Jump down to LL17 (this BPL is effectively a JMP as we \ know bit 7 of A is definitely clear) .LL13 \ If we get here then the ship is possibly far enough \ away to be shown as a dot LDY #13 \ Fetch byte #13 from the ship's blueprint, which gives LDA (XX0),Y \ the ship's visibility distance, beyond which we show \ the ship as a dot CMP XX1+7 \ If z_hi <= the visibility distance, skip to LL17 to BCS LL17 \ draw the ship fully, rather than as a dot, as it is \ closer than the visibility distance LDA #%00100000 \ If bit 5 of the ship's byte #31 is set, then the AND XX1+31 \ ship is currently exploding, so skip to LL17 to draw BNE LL17 \ the ship's explosion cloud JMP SHPPT \ Otherwise jump to SHPPT to draw the ship as a dot, \ returning from the subroutine using a tail callName: LL9 (Part 2 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Check if ship is in field of view, close enough to draw Deep dive: Drawing shipsContext: See this subroutine on its own page References: This subroutine is called as follows: * LL9 (Part 1 of 12) calls entry point LL10-1

This part checks whether the ship is in our field of view, and whether it is close enough to be fully drawn (if not, we jump to SHPPT to draw it as a dot). Other entry points: LL10-1 Contains an RTS.LL17 LDX #5 \ First we copy the three orientation vectors into XX16, \ so set up a counter in X for the 6 bytes in each \ vector .LL15 LDA XX1+21,X \ Copy the X-th byte of sidev to the X-th byte of XX16 STA XX16,X LDA XX1+15,X \ Copy the X-th byte of roofv to XX16+6 to the X-th byte STA XX16+6,X \ of XX16+6 LDA XX1+9,X \ Copy the X-th byte of nosev to XX16+12 to the X-th STA XX16+12,X \ byte of XX16+12 DEX \ Decrement the counter BPL LL15 \ Loop back to copy the next byte of each vector, until \ we have the following: \ \ * XX16(1 0) = sidev_x \ * XX16(3 2) = sidev_y \ * XX16(5 4) = sidev_z \ \ * XX16(7 6) = roofv_x \ * XX16(9 8) = roofv_y \ * XX16(11 10) = roofv_z \ \ * XX16(13 12) = nosev_x \ * XX16(15 14) = nosev_y \ * XX16(17 16) = nosev_z LDA #197 \ Set Q = 197 STA Q LDY #16 \ Set Y to be a counter that counts down by 2 each time, \ starting with 16, then 14, 12 and so on. We use this \ to work through each of the coordinates in each of the \ orientation vectors .LL21 LDA XX16,Y \ Set A = the low byte of the vector coordinate, e.g. \ nosev_z_lo when Y = 16 ASL A \ Shift bit 7 into the C flag LDA XX16+1,Y \ Set A = the high byte of the vector coordinate, e.g. \ nosev_z_hi when Y = 16 ROL A \ Rotate A left, incorporating the C flag, so A now \ contains the original high byte, doubled, and without \ a sign bit, e.g. A = |nosev_z_hi| * 2 JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ \ so, for nosev, this would be: \ \ R = 256 * |nosev_z_hi| * 2 / 197 \ = 2.6 * |nosev_z_hi| LDX R \ Store R in the low byte's location, so we can keep the STX XX16,Y \ old, unscaled high byte intact for the sign DEY \ Decrement the loop counter twice DEY BPL LL21 \ Loop back for the next vector coordinate until we have \ divided them all \ By this point, the vectors have been turned into \ scaled magnitudes, so we have the following: \ \ * XX16 = scaled |sidev_x| \ * XX16+2 = scaled |sidev_y| \ * XX16+4 = scaled |sidev_z| \ \ * XX16+6 = scaled |roofv_x| \ * XX16+8 = scaled |roofv_y| \ * XX16+10 = scaled |roofv_z| \ \ * XX16+12 = scaled |nosev_x| \ * XX16+14 = scaled |nosev_y| \ * XX16+16 = scaled |nosev_z| LDX #8 \ Next we copy the ship's coordinates into XX18, so set \ up a counter in X for 9 bytes .ll91 LDA XX1,X \ Copy the X-th byte from XX1 to XX18 STA XX18,X DEX \ Decrement the loop counter BPL ll91 \ Loop back for the next byte until we have copied all \ three coordinates \ So we now have the following: \ \ * XX18(2 1 0) = (x_sign x_hi x_lo) \ \ * XX18(5 4 3) = (y_sign y_hi y_lo) \ \ * XX18(8 7 6) = (z_sign z_hi z_lo) LDA #255 \ Set the 15th byte of XX2 to 255, so that face 15 is STA XX2+15 \ always visible. No ship definitions actually have this \ number of faces in the cassette version, but this \ allows us to force a vertex to always be visible by \ associating it with face 15 (see the blueprints for \ the Cobra Mk III at SHIP_COBRA_MK_3 and asteroid at \ SHIP_ASTEROID for examples) LDY #12 \ Set Y = 12 to point to the ship blueprint byte #12, LDA XX1+31 \ If bit 5 of the ship's byte #31 is clear, then the AND #%00100000 \ ship is not currently exploding, so jump down to EE29 BEQ EE29 \ to skip the following \ Otherwise we fall through to set up the visibility \ block for an exploding shipName: LL9 (Part 3 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Set up orientation vector, ship coordinate variables Deep dive: Drawing shipsContext: See this subroutine on its own page References: No direct references to this subroutine in this source file

This part sets up the following variable blocks: * XX16 contains the orientation vectors, divided to normalise them * XX18 contains the ship's x, y and z coordinates in spaceLDA (XX0),Y \ Fetch byte #12 of the ship's blueprint, which contains \ the number of faces * 4 LSR A \ Set X = A / 4 LSR A \ = the number of faces TAX LDA #255 \ Set A = 255 .EE30 STA XX2,X \ Set the X-th byte of XX2 to 255 DEX \ Decrement the loop counter BPL EE30 \ Loop back for the next byte until there is one byte \ set to 255 for each face INX \ Set XX4 = 0 for the distance value we use to test STX XX4 \ for visibility, so we always shows everything .LL41 JMP LL42 \ Jump to LL42 to skip the face visibility calculations \ as we don't need to do them now we've set up the XX2 \ block for the explosionName: LL9 (Part 4 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Set visibility for exploding ship (all faces visible) Deep dive: Drawing shipsContext: See this subroutine on its own page References: No direct references to this subroutine in this source file

This part sets up the visibility block in XX2 for a ship that is exploding. The XX2 block consists of one byte for each face in the ship's blueprint, which holds the visibility of that face. Because the ship is exploding, we want to set all the faces to be visible. A value of 255 in the visibility table means the face is visible, so the following code sets each face to 255 and then skips over the face visibility calculations that we would apply to a non-exploding ship..EE29 LDA (XX0),Y \ We set Y to 12 above before jumping down to EE29, so \ this fetches byte #12 of the ship's blueprint, which \ contains the number of faces * 4 BEQ LL41 \ If there are no faces in this ship, jump to LL42 (via \ LL41) to skip the face visibility calculations STA XX20 \ Set A = the number of faces * 4 LDY #18 \ Fetch byte #18 of the ship's blueprint, which contains LDA (XX0),Y \ the factor by which we scale the face normals, into X TAX LDA XX18+7 \ Set A = z_hi .LL90 TAY \ Set Y = z_hi BEQ LL91 \ If z_hi = 0 then jump to LL91 \ The following is a loop that jumps back to LL90+3, \ i.e. here. LL90 is only used for this loop, so it's a \ bit of a strange use of the label here INX \ Increment the scale factor in X LSR XX18+4 \ Divide (y_hi y_lo) by 2 ROR XX18+3 LSR XX18+1 \ Divide (x_hi x_lo) by 2 ROR XX18 LSR A \ Divide (z_hi z_lo) by 2 (as A contains z_hi) ROR XX18+6 TAY \ Set Y = z_hi BNE LL90+3 \ If Y is non-zero, loop back to LL90+3 to divide the \ three coordinates until z_hi is 0 .LL91 \ By this point z_hi is 0 and X contains the number of \ right shifts we had to do, plus the scale factor from \ the blueprint STX XX17 \ Store the updated scale factor in XX17 LDA XX18+8 \ Set XX15+5 = z_sign STA XX15+5 LDA XX18 \ Set XX15(1 0) = (x_sign x_lo) STA XX15 LDA XX18+2 STA XX15+1 LDA XX18+3 \ Set XX15(3 2) = (y_sign y_lo) STA XX15+2 LDA XX18+5 STA XX15+3 LDA XX18+6 \ Set XX15+4 = z_lo, so now XX15(5 4) = (z_sign z_lo) STA XX15+4 JSR LL51 \ Call LL51 to set XX12 to the dot products of XX15 and \ XX16, which we'll call dot_sidev, dot_roofv and \ dot_nosev: \ \ XX12(1 0) = [x y z] . sidev \ = (dot_sidev_sign dot_sidev_lo) \ = dot_sidev \ \ XX12(3 2) = [x y z] . roofv \ = (dot_roofv_sign dot_roofv_lo) \ = dot_roofv \ \ XX12(5 4) = [x y z] . nosev \ = (dot_nosev_sign dot_nosev_lo) \ = dot_nosev LDA XX12 \ Set XX18(2 0) = dot_sidev STA XX18 LDA XX12+1 STA XX18+2 LDA XX12+2 \ Set XX18(5 3) = dot_roofv STA XX18+3 LDA XX12+3 STA XX18+5 LDA XX12+4 \ Set XX18(8 6) = dot_nosev STA XX18+6 LDA XX12+5 STA XX18+8 LDY #4 \ Fetch byte #4 of the ship's blueprint, which contains LDA (XX0),Y \ the low byte of the offset to the faces data CLC \ Set V = low byte faces offset + XX0 ADC XX0 STA V LDY #17 \ Fetch byte #17 of the ship's blueprint, which contains LDA (XX0),Y \ the high byte of the offset to the faces data ADC XX0+1 \ Set V+1 = high byte faces offset + XX0+1 STA V+1 \ \ So V(1 0) now points to the start of the faces data \ for this ship LDY #0 \ We're now going to loop through all the faces for this \ ship, so set a counter in Y, starting from 0, which we \ will increment by 4 each loop to step through the \ four bytes of data for each face .LL86 LDA (V),Y \ Fetch byte #0 for this face into A, so: \ \ A = %xyz vvvvv, where: \ \ * Bits 0-4 = visibility distance, beyond which the \ face is always shown \ \ * Bits 7-5 = the sign bits of normal_x, normal_y \ and normal_z STA XX12+1 \ Store byte #0 in XX12+1, so XX12+1 now has the sign of \ normal_x AND #%00011111 \ Extract bits 0-4 to give the visibility distance CMP XX4 \ If XX4 <= the visibility distance, where XX4 contains BCS LL87 \ the ship's z-distance reduced to 0-31 (which we set in \ part 2), skip to LL87 as this face is close enough \ that we have to test its visibility using the face \ normals \ Otherwise this face is within range and is therefore \ always shown TYA \ Set X = Y / 4 LSR A \ = the number of this face * 4 /4 LSR A \ = the number of this face TAX LDA #255 \ Set the X-th byte of XX2 to 255 to denote that this STA XX2,X \ face is visible TYA \ Set Y = Y + 4 to point to the next face ADC #4 TAY JMP LL88 \ Jump down to LL88 to skip the following, as we don't \ need to test the face normals .LL87 LDA XX12+1 \ Fetch byte #0 for this face into A ASL A \ Shift A left and store it, so XX12+3 now has the sign STA XX12+3 \ of normal_y ASL A \ Shift A left and store it, so XX12+5 now has the sign STA XX12+5 \ of normal_z INY \ Increment Y to point to byte #1 LDA (V),Y \ Fetch byte #1 for this face and store in XX12, so STA XX12 \ XX12 = normal_x INY \ Increment Y to point to byte #2 LDA (V),Y \ Fetch byte #2 for this face and store in XX12+2, so STA XX12+2 \ XX12+2 = normal_y INY \ Increment Y to point to byte #3 LDA (V),Y \ Fetch byte #3 for this face and store in XX12+4, so STA XX12+4 \ XX12+4 = normal_z \ So we now have: \ \ XX12(1 0) = (normal_x_sign normal_x) \ \ XX12(3 2) = (normal_y_sign normal_y) \ \ XX12(5 4) = (normal_z_sign normal_z) LDX XX17 \ If XX17 < 4 then jump to LL92, otherwise we stored a CPX #4 \ larger scale factor above BCC LL92 .LL143 LDA XX18 \ Set XX15(1 0) = XX18(2 0) STA XX15 \ = dot_sidev LDA XX18+2 STA XX15+1 LDA XX18+3 \ Set XX15(3 2) = XX18(5 3) STA XX15+2 \ = dot_roofv LDA XX18+5 STA XX15+3 LDA XX18+6 \ Set XX15(5 4) = XX18(8 6) STA XX15+4 \ = dot_nosev LDA XX18+8 STA XX15+5 JMP LL89 \ Jump down to LL89 .ovflw \ If we get here then the addition below overflowed, so \ we halve the dot products and normal vector LSR XX18 \ Divide dot_sidev_lo by 2, so dot_sidev = dot_sidev / 2 LSR XX18+6 \ Divide dot_nosev_lo by 2, so dot_nosev = dot_nosev / 2 LSR XX18+3 \ Divide dot_roofv_lo by 2, so dot_roofv = dot_roofv / 2 LDX #1 \ Set X = 1 so when we fall through into LL92, we divide \ the normal vector by 2 as well .LL92 \ We jump here from above with the scale factor in X, \ and now we apply it by scaling the normal vector down \ by a factor of 2^X (i.e. divide by 2^X) LDA XX12 \ Set XX15 = normal_x STA XX15 LDA XX12+2 \ Set XX15+2 = normal_y STA XX15+2 LDA XX12+4 \ Set A = normal_z .LL93 DEX \ Decrement the scale factor in X BMI LL94 \ If X was 0 before the decrement, there is no scaling \ to do, so jump to LL94 to exit the loop LSR XX15 \ Set XX15 = XX15 / 2 \ = normal_x / 2 LSR XX15+2 \ Set XX15+2 = XX15+2 / 2 \ = normal_y / 2 LSR A \ Set A = A / 2 \ = normal_z / 2 DEX \ Decrement the scale factor in X BPL LL93+3 \ If we have more scaling to do, loop back up to the \ first LSR above until the normal vector is scaled down .LL94 STA R \ Set R = normal_z LDA XX12+5 \ Set S = normal_z_sign STA S LDA XX18+6 \ Set Q = dot_nosev_lo STA Q LDA XX18+8 \ Set A = dot_nosev_sign JSR LL38 \ Set (S A) = (S R) + (A Q) \ = normal_z + dot_nosev \ \ setting the sign of the result in S BCS ovflw \ If the addition overflowed, jump up to ovflw to divide \ both the normal vector and dot products by 2 and try \ again STA XX15+4 \ Set XX15(5 4) = (S A) LDA S \ = normal_z + dot_nosev STA XX15+5 LDA XX15 \ Set R = normal_x STA R LDA XX12+1 \ Set S = normal_x_sign STA S LDA XX18 \ Set Q = dot_sidev_lo STA Q LDA XX18+2 \ Set A = dot_sidev_sign JSR LL38 \ Set (S A) = (S R) + (A Q) \ = normal_x + dot_sidev \ \ setting the sign of the result in S BCS ovflw \ If the addition overflowed, jump up to ovflw to divide \ both the normal vector and dot products by 2 and try \ again STA XX15 \ Set XX15(1 0) = (S A) LDA S \ = normal_x + dot_sidev STA XX15+1 LDA XX15+2 \ Set R = normal_y STA R LDA XX12+3 \ Set S = normal_y_sign STA S LDA XX18+3 \ Set Q = dot_roofv_lo STA Q LDA XX18+5 \ Set A = dot_roofv_sign JSR LL38 \ Set (S A) = (S R) + (A Q) \ = normal_y + dot_roofv BCS ovflw \ If the addition overflowed, jump up to ovflw to divide \ both the normal vector and dot products by 2 and try \ again STA XX15+2 \ Set XX15(3 2) = (S A) LDA S \ = normal_y + dot_roofv STA XX15+3 .LL89 \ When we get here, we have set up the following: \ \ XX15(1 0) = normal_x + dot_sidev \ = normal_x + [x y z] . sidev \ \ XX15(3 2) = normal_y + dot_roofv \ = normal_y + [x y z] . roofv \ \ XX15(5 4) = normal_z + dot_nosev \ = normal_z + [x y z] . nosev \ \ and: \ \ XX12(1 0) = (normal_x_sign normal_x) \ \ XX12(3 2) = (normal_y_sign normal_y) \ \ XX12(5 4) = (normal_z_sign normal_z) \ \ We now calculate the dot product XX12 . XX15 to tell \ us whether or not this face is visible LDA XX12 \ Set Q = XX12 STA Q LDA XX15 \ Set A = XX15 JSR FMLTU \ Set T = A * Q / 256 STA T \ = XX15 * XX12 / 256 LDA XX12+1 \ Set S = sign of XX15(1 0) * XX12(1 0), so: EOR XX15+1 \ STA S \ (S T) = XX15(1 0) * XX12(1 0) / 256 LDA XX12+2 \ Set Q = XX12+2 STA Q LDA XX15+2 \ Set A = XX15+2 JSR FMLTU \ Set Q = A * Q STA Q \ = XX15+2 * XX12+2 / 256 LDA T \ Set T = R, so now: STA R \ \ (S R) = XX15(1 0) * XX12(1 0) / 256 LDA XX12+3 \ Set A = sign of XX15+3 * XX12+3, so: EOR XX15+3 \ \ (A Q) = XX15(3 2) * XX12(3 2) / 256 JSR LL38 \ Set (S T) = (S R) + (A Q) STA T \ = XX15(1 0) * XX12(1 0) / 256 \ + XX15(3 2) * XX12(3 2) / 256 LDA XX12+4 \ Set Q = XX12+4 STA Q LDA XX15+4 \ Set A = XX15+4 JSR FMLTU \ Set Q = A * Q STA Q \ = XX15+4 * XX12+4 / 256 LDA T \ Set T = R, so now: STA R \ \ (S R) = XX15(1 0) * XX12(1 0) / 256 \ + XX15(3 2) * XX12(3 2) / 256 LDA XX15+5 \ Set A = sign of XX15+5 * XX12+5, so: EOR XX12+5 \ \ (A Q) = XX15(5 4) * XX12(5 4) / 256 JSR LL38 \ Set (S A) = (S R) + (A Q) \ = XX15(1 0) * XX12(1 0) / 256 \ + XX15(3 2) * XX12(3 2) / 256 \ + XX15(5 4) * XX12(5 4) / 256 PHA \ Push the result A onto the stack, so the stack now \ contains the dot product XX12 . XX15 TYA \ Set X = Y / 4 LSR A \ = the number of this face * 4 /4 LSR A \ = the number of this face TAX PLA \ Pull the dot product off the stack into A BIT S \ If bit 7 of S is set, i.e. the dot product is BMI P%+4 \ negative, then this face is visible as its normal is \ pointing towards us, so skip the following instruction LDA #0 \ Otherwise the face is not visible, so set A = 0 so we \ can store this to mean "not visible" STA XX2,X \ Store the face's visibility in the X-th byte of XX2 INY \ Above we incremented Y to point to byte #3, so this \ increments Y to point to byte #4, i.e. byte #0 of the \ next face .LL88 CPY XX20 \ If Y >= XX20, the number of faces * 4, jump down to BCS LL42 \ LL42 to move on to the JMP LL86 \ Otherwise loop back to LL86 to work out the visibility \ of the next faceName: LL9 (Part 5 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Calculate the visibility of each of the ship's faces Deep dive: Drawing ships Back-face cullingContext: See this subroutine on its own page References: No direct references to this subroutine in this source file.LL42 \ The first task is to set up the inverse matrix, ready \ for us to send to the dot product routine at LL51. \ Back up in part 3, we set up the following variables: \ \ * XX16(1 0) = sidev_x \ * XX16(3 2) = sidev_y \ * XX16(5 4) = sidev_z \ \ * XX16(7 6) = roofv_x \ * XX16(9 8) = roofv_y \ * XX16(11 10) = roofv_z \ \ * XX16(13 12) = nosev_x \ * XX16(15 14) = nosev_y \ * XX16(17 16) = nosev_z \ \ and we then scaled the vectors to give the following: \ \ * XX16 = scaled |sidev_x| \ * XX16+2 = scaled |sidev_y| \ * XX16+4 = scaled |sidev_z| \ \ * XX16+6 = scaled |roofv_x| \ * XX16+8 = scaled |roofv_y| \ * XX16+10 = scaled |roofv_z| \ \ * XX16+12 = scaled |nosev_x| \ * XX16+14 = scaled |nosev_y| \ * XX16+16 = scaled |nosev_z| \ \ We now need to rearrange these locations so they \ effectively transpose the matrix into its inverse LDY XX16+2 \ Set XX16+2 = XX16+6 = scaled |roofv_x| LDX XX16+3 \ Set XX16+3 = XX16+7 = roofv_x_hi LDA XX16+6 \ Set XX16+6 = XX16+2 = scaled |sidev_y| STA XX16+2 \ Set XX16+7 = XX16+3 = sidev_y_hi LDA XX16+7 STA XX16+3 STY XX16+6 STX XX16+7 LDY XX16+4 \ Set XX16+4 = XX16+12 = scaled |nosev_x| LDX XX16+5 \ Set XX16+5 = XX16+13 = nosev_x_hi LDA XX16+12 \ Set XX16+12 = XX16+4 = scaled |sidev_z| STA XX16+4 \ Set XX16+13 = XX16+5 = sidev_z_hi LDA XX16+13 STA XX16+5 STY XX16+12 STX XX16+13 LDY XX16+10 \ Set XX16+10 = XX16+14 = scaled |nosev_y| LDX XX16+11 \ Set XX16+11 = XX16+15 = nosev_y_hi LDA XX16+14 \ Set XX16+14 = XX16+10 = scaled |roofv_z| STA XX16+10 \ Set XX16+15 = XX16+11 = roofv_z LDA XX16+15 STA XX16+11 STY XX16+14 STX XX16+15 \ So now we have the following sign-magnitude variables \ containing parts of the scaled orientation vectors: \ \ XX16(1 0) = scaled sidev_x \ XX16(3 2) = scaled roofv_x \ XX16(5 4) = scaled nosev_x \ \ XX16(7 6) = scaled sidev_y \ XX16(9 8) = scaled roofv_y \ XX16(11 10) = scaled nosev_y \ \ XX16(13 12) = scaled sidev_z \ XX16(15 14) = scaled roofv_z \ XX16(17 16) = scaled nosev_z \ \ which is what we want, as the various vectors are now \ arranged so we can use LL51 to multiply by the \ transpose (i.e. the inverse of the matrix) LDY #8 \ Fetch byte #8 of the ship's blueprint, which is the LDA (XX0),Y \ number of vertices * 8, and store it in XX20 STA XX20 \ We now set V(1 0) = XX0(1 0) + 20, so V(1 0) points \ to byte #20 of the ship's blueprint, which is always \ where the vertex data starts (i.e. just after the 20 \ byte block that define the ship's characteristics) LDA XX0 \ We start with the low bytes CLC ADC #20 STA V LDA XX0+1 \ And then do the high bytes ADC #0 STA V+1 LDY #0 \ We are about to step through all the vertices, using \ Y as a counter. There are six data bytes for each \ vertex, so we will increment Y by 6 for each iteration \ so it can act as an offset from V(1 0) to the current \ vertex's data STY CNT \ Set CNT = 0, which we will use as a pointer to the \ heap at XX3, starting it at zero so the heap starts \ out empty .LL48 STY XX17 \ Set XX17 = Y, so XX17 now contains the offset of the \ current vertex's data LDA (V),Y \ Fetch byte #0 for this vertex into XX15, so: STA XX15 \ \ XX15 = magnitude of the vertex's x-coordinate INY \ Increment Y to point to byte #1 LDA (V),Y \ Fetch byte #1 for this vertex into XX15+2, so: STA XX15+2 \ \ XX15+2 = magnitude of the vertex's y-coordinate INY \ Increment Y to point to byte #2 LDA (V),Y \ Fetch byte #2 for this vertex into XX15+4, so: STA XX15+4 \ \ XX15+4 = magnitude of the vertex's z-coordinate INY \ Increment Y to point to byte #3 LDA (V),Y \ Fetch byte #3 for this vertex into T, so: STA T \ \ T = %xyz vvvvv, where: \ \ * Bits 0-4 = visibility distance, beyond which the \ vertex is not shown \ \ * Bits 7-5 = the sign bits of x, y and z AND #%00011111 \ Extract bits 0-4 to get the visibility distance CMP XX4 \ If XX4 > the visibility distance, where XX4 contains BCC LL49-3 \ the ship's z-distance reduced to 0-31 (which we set in \ part 2), then this vertex is too far away to be \ visible, so jump down to LL50 (via the JMP instruction \ in LL49-3) to move on to the next vertex INY \ Increment Y to point to byte #4 LDA (V),Y \ Fetch byte #4 for this vertex into P, so: STA P \ \ P = %ffff ffff, where: \ \ * Bits 0-3 = the number of face 1 \ \ * Bits 4-7 = the number of face 2 AND #%00001111 \ Extract the number of face 1 into X TAX LDA XX2,X \ If XX2+X is non-zero then we decided in part 5 that BNE LL49 \ face 1 is visible, so jump to LL49 LDA P \ Fetch byte #4 for this vertex into A LSR A \ Shift right four times to extract the number of face 2 LSR A \ from bits 4-7 into X LSR A LSR A TAX LDA XX2,X \ If XX2+X is non-zero then we decided in part 5 that BNE LL49 \ face 2 is visible, so jump to LL49 INY \ Increment Y to point to byte #5 LDA (V),Y \ Fetch byte #5 for this vertex into P, so: STA P \ \ P = %ffff ffff, where: \ \ * Bits 0-3 = the number of face 3 \ \ * Bits 4-7 = the number of face 4 AND #%00001111 \ Extract the number of face 1 into X TAX LDA XX2,X \ If XX2+X is non-zero then we decided in part 5 that BNE LL49 \ face 3 is visible, so jump to LL49 LDA P \ Fetch byte #5 for this vertex into A LSR A \ Shift right four times to extract the number of face 4 LSR A \ from bits 4-7 into X LSR A LSR A TAX LDA XX2,X \ If XX2+X is non-zero then we decided in part 5 that BNE LL49 \ face 4 is visible, so jump to LL49 JMP LL50 \ If we get here then none of the four faces associated \ with this vertex are visible, so this vertex is also \ not visible, so jump to LL50 to move on to the next \ vertex .LL49 LDA T \ Fetch byte #5 for this vertex into A and store it, so STA XX15+1 \ XX15+1 now has the sign of the vertex's x-coordinate ASL A \ Shift A left and store it, so XX15+3 now has the sign STA XX15+3 \ of the vertex's y-coordinate ASL A \ Shift A left and store it, so XX15+5 now has the sign STA XX15+5 \ of the vertex's z-coordinate \ By this point we have the following: \ \ XX15(1 0) = vertex x-coordinate \ XX15(3 2) = vertex y-coordinate \ XX15(5 4) = vertex z-coordinate \ \ XX16(1 0) = scaled sidev_x \ XX16(3 2) = scaled roofv_x \ XX16(5 4) = scaled nosev_x \ \ XX16(7 6) = scaled sidev_y \ XX16(9 8) = scaled roofv_y \ XX16(11 10) = scaled nosev_y \ \ XX16(13 12) = scaled sidev_z \ XX16(15 14) = scaled roofv_z \ XX16(17 16) = scaled nosev_z JSR LL51 \ Call LL51 to set XX12 to the dot products of XX15 and \ XX16, as follows: \ \ XX12(1 0) = [ x y z ] . [ sidev_x roofv_x nosev_x ] \ \ XX12(3 2) = [ x y z ] . [ sidev_y roofv_y nosev_y ] \ \ XX12(5 4) = [ x y z ] . [ sidev_z roofv_z nosev_z ] \ \ XX12 contains the vector from the ship's centre to \ the vertex, transformed from the orientation vector \ space to the universe orientated around our ship. So \ we can refer to this vector below, let's call it \ vertv, so: \ \ vertv_x = [ x y z ] . [ sidev_x roofv_x nosev_x ] \ \ vertv_y = [ x y z ] . [ sidev_y roofv_y nosev_y ] \ \ vertv_z = [ x y z ] . [ sidev_z roofv_z nosev_z ] \ \ To finish the calculation, we now want to calculate: \ \ vertv + [ x y z ] \ \ So let's start with the vertv_x + x LDA XX1+2 \ Set A = x_sign of the ship's location STA XX15+2 \ Set XX15+2 = x_sign EOR XX12+1 \ If the sign of x_sign * the sign of vertv_x is BMI LL52 \ negative (i.e. they have different signs), skip to \ LL52 CLC \ Set XX15(2 1 0) = XX1(2 1 0) + XX12(1 0) LDA XX12 \ = (x_sign x_hi x_lo) + vertv_x ADC XX1 \ STA XX15 \ Starting with the low bytes LDA XX1+1 \ And then doing the high bytes (we can add 0 here as ADC #0 \ we know the sign byte of vertv_x is 0) STA XX15+1 JMP LL53 \ We've added the x-coordinates, so jump to LL53 to do \ the y-coordinates .LL52 \ If we get here then x_sign and vertv_x have different \ signs, so we need to subtract them to get the result LDA XX1 \ Set XX15(2 1 0) = XX1(2 1 0) - XX12(1 0) SEC \ = (x_sign x_hi x_lo) - vertv_x SBC XX12 \ STA XX15 \ Starting with the low bytes LDA XX1+1 \ And then doing the high bytes (we can subtract 0 here SBC #0 \ as we know the sign byte of vertv_x is 0) STA XX15+1 BCS LL53 \ If the subtraction didn't underflow, then the sign of \ the result is the same sign as x_sign, and that's what \ we want, so we can jump down to LL53 to do the \ y-coordinates EOR #%11111111 \ Otherwise we need to negate the result using two's STA XX15+1 \ complement, so first we flip the bits of the high byte LDA #1 \ And then subtract the low byte from 1 SBC XX15 STA XX15 BCC P%+4 \ If the above subtraction underflowed then we need to INC XX15+1 \ bump the high byte of the result up by 1 LDA XX15+2 \ And now we flip the sign of the result to get the EOR #%10000000 \ correct result STA XX15+2 .LL53 \ Now for the y-coordinates, vertv_y + y LDA XX1+5 \ Set A = y_sign of the ship's location STA XX15+5 \ Set XX15+5 = y_sign EOR XX12+3 \ If the sign of y_sign * the sign of vertv_y is BMI LL54 \ negative (i.e. they have different signs), skip to \ LL54 CLC \ Set XX15(5 4 3) = XX1(5 4 3) + XX12(3 2) LDA XX12+2 \ = (y_sign y_hi y_lo) + vertv_y ADC XX1+3 \ STA XX15+3 \ Starting with the low bytes LDA XX1+4 \ And then doing the high bytes (we can add 0 here as ADC #0 \ we know the sign byte of vertv_y is 0) STA XX15+4 JMP LL55 \ We've added the y-coordinates, so jump to LL55 to do \ the z-coordinates .LL54 \ If we get here then y_sign and vertv_y have different \ signs, so we need to subtract them to get the result LDA XX1+3 \ Set XX15(5 4 3) = XX1(5 4 3) - XX12(3 2) SEC \ = (y_sign y_hi y_lo) - vertv_y SBC XX12+2 \ STA XX15+3 \ Starting with the low bytes LDA XX1+4 \ And then doing the high bytes (we can subtract 0 here SBC #0 \ as we know the sign byte of vertv_z is 0) STA XX15+4 BCS LL55 \ If the subtraction didn't underflow, then the sign of \ the result is the same sign as y_sign, and that's what \ we want, so we can jump down to LL55 to do the \ z-coordinates EOR #%11111111 \ Otherwise we need to negate the result using two's STA XX15+4 \ complement, so first we flip the bits of the high byte LDA XX15+3 \ And then flip the bits of the low byte and add 1 EOR #%11111111 ADC #1 STA XX15+3 LDA XX15+5 \ And now we flip the sign of the result to get the EOR #%10000000 \ correct result STA XX15+5 BCC LL55 \ If the above subtraction underflowed then we need to INC XX15+4 \ bump the high byte of the result up by 1 .LL55 \ Now for the z-coordinates, vertv_z + z LDA XX12+5 \ If vertv_z_hi is negative, jump down to LL56 BMI LL56 LDA XX12+4 \ Set (U T) = XX1(7 6) + XX12(5 4) CLC \ = (z_hi z_lo) + vertv_z ADC XX1+6 \ STA T \ Starting with the low bytes LDA XX1+7 \ And then doing the high bytes (we can add 0 here as ADC #0 \ we know the sign byte of vertv_y is 0) STA U JMP LL57 \ We've added the z-coordinates, so jump to LL57 \ The adding process is continued in part 7, after a \ couple of subroutines that we don't need quite yetName: LL9 (Part 6 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Calculate the visibility of each of the ship's vertices Deep dive: Drawing ships Calculating vertex coordinates

This section calculates the visibility of each of the ship's vertices, and for those that are visible, it starts the process of calculating the screen coordinates of each vertex.LL61 LDX Q \ If Q = 0, jump down to LL84 to return a division BEQ LL84 \ error \ The LL28 routine returns A / Q, but only if A < Q. In \ our case A >= Q, but we still want to use the LL28 \ routine, so we halve A until it's less than Q, call \ the division routine, and then double A by the same \ number of times LDX #0 \ Set X = 0 to count the number of times we halve A .LL63 LSR A \ Halve A by shifting right INX \ Increment X CMP Q \ If A >= Q, loop back to LL63 to halve it again BCS LL63 STX S \ Otherwise store the number of times we halved A in S JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ \ which we can do now as A < Q LDX S \ Otherwise restore the number of times we halved A \ above into X LDA R \ Set A = our division result .LL64 ASL A \ Double (U A) by shifting left ROL U BMI LL84 \ If bit 7 of U is set, the doubling has overflowed, so \ jump to LL84 to return a division error DEX \ Decrement X BNE LL64 \ If X is not yet zero then we haven't done as many \ doublings as we did halvings earlier, so loop back for \ another doubling STA R \ Store the low byte of the division result in R RTS \ Return from the subroutine .LL84 LDA #50 \ If we get here then either we tried to divide by 0, or STA R \ the result overflowed, so we set U and R to 50 STA U RTS \ Return from the subroutineName: LL61 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate (U R) = 256 * A / QContext: See this subroutine on its own page References: This subroutine is called as follows: * LL9 (Part 8 of 12) calls LL61

Calculate the following, where A >= Q: (U R) = 256 * A / Q This is a sister routine to LL28, which does the division when A < Q..LL62 LDA #128 \ Calculate 128 - (U R), starting with the low bytes SEC SBC R STA XX3,X \ Store the low byte of the result in the X-th byte of \ the heap at XX3 INX \ Increment the heap pointer in X to point to the next \ byte LDA #0 \ And then subtract the high bytes SBC U STA XX3,X \ Store the low byte of the result in the X-th byte of \ the heap at XX3 JMP LL66 \ Jump down to LL66Name: LL62 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate 128 - (U R)Context: See this subroutine on its own page References: This subroutine is called as follows: * LL9 (Part 8 of 12) calls LL62

Calculate the following for a positive sign-magnitude number (U R): 128 - (U R) and then store the result, low byte then high byte, on the end of the heap at XX3, where X points to the first free byte on the heap. Return by jumping down to LL66. Returns: X X is incremented by 1.LL56 LDA XX1+6 \ Set (U T) = XX1(7 6) - XX12(5 4) SEC \ = (z_hi z_lo) - vertv_z SBC XX12+4 \ STA T \ Starting with the low bytes LDA XX1+7 \ And then doing the high bytes (we can subtract 0 here SBC #0 \ as we know the sign byte of vertv_z is 0) STA U BCC LL140 \ If the subtraction just underflowed, skip to LL140 to \ set (U T) to the minimum value of 4 BNE LL57 \ If U is non-zero, jump down to LL57 LDA T \ If T >= 4, jump down to LL57 CMP #4 BCS LL57 .LL140 LDA #0 \ If we get here then either (U T) < 4 or the STA U \ subtraction underflowed, so set (U T) = 4 LDA #4 STA T .LL57 \ By this point we have our results, so now to scale \ the 16-bit results down into 8-bit values LDA U \ If the high bytes of the result are all zero, we are ORA XX15+1 \ done, so jump down to LL60 for the next stage ORA XX15+4 BEQ LL60 LSR XX15+1 \ Shift XX15(1 0) to the right ROR XX15 LSR XX15+4 \ Shift XX15(4 3) to the right ROR XX15+3 LSR U \ Shift (U T) to the right ROR T JMP LL57 \ Jump back to LL57 to see if we can shift the result \ any moreName: LL9 (Part 7 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Calculate the visibility of each of the ship's vertices Deep dive: Drawing ships Calculating vertex coordinates

This section continues the coordinate adding from part 6 by finishing off the calculation that we started above: [ sidev_x roofv_x nosev_x ] [ x ] [ x ] vector to vertex = [ sidev_y roofv_y nosev_y ] . [ y ] + [ y ] [ sidev_z roofv_z nosev_z ] [ z ] [ z ] The gets stored as follows, in sign-magnitude values with the magnitudes fitting into the low bytes: XX15(2 0) [ x y z ] . [ sidev_x roofv_x nosev_x ] + [ x y z ] XX15(5 3) [ x y z ] . [ sidev_y roofv_y nosev_y ] + [ x y z ] (U T) [ x y z ] . [ sidev_z roofv_z nosev_z ] + [ x y z ] Finally, because this vector is from our ship to the vertex, and we are at the origin, this vector is the same as the coordinates of the vertex. In other words, we have just worked out: XX15(2 0) x-coordinate of the current vertex XX15(5 3) y-coordinate of the current vertex (U T) z-coordinate of the current vertex.LL60 LDA T \ Set Q = z_lo STA Q LDA XX15 \ Set A = x_lo CMP Q \ If x_lo < z_lo jump to LL69 BCC LL69 JSR LL61 \ Call LL61 to calculate: \ \ (U R) = 256 * A / Q \ = 256 * x / z \ \ which we can do as x >= z JMP LL65 \ Jump to LL65 to skip the division for x_lo < z_lo .LL69 JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ = 256 * x / z \ \ Because x < z, the result fits into one byte, and we \ also know that U = 0, so (U R) also contains the \ result .LL65 \ At this point we have: \ \ (U R) = x / z \ \ so (U R) contains the vertex's x-coordinate projected \ on screen \ \ The next task is to convert (U R) to a pixel screen \ coordinate and stick it on the XX3 heap. \ \ We start with the x-coordinate. To convert the \ x-coordinate to a screen pixel we add 128, the \ x-coordinate of the centre of the screen, because the \ projected value is relative to an origin at the centre \ of the screen, but the origin of the screen pixels is \ at the top-left of the screen LDX CNT \ Fetch the pointer to the end of the XX3 heap from CNT \ into X LDA XX15+2 \ If x_sign is negative, jump up to LL62, which will BMI LL62 \ store 128 - (U R) on the XX3 heap and return by \ jumping down to LL66 below LDA R \ Calculate 128 + (U R), starting with the low bytes CLC ADC #128 STA XX3,X \ Store the low byte of the result in the X-th byte of \ the heap at XX3 INX \ Increment the heap pointer in X to point to the next \ byte LDA U \ And then add the high bytes ADC #0 STA XX3,X \ Store the high byte of the result in the X-th byte of \ the heap at XX3 .LL66 \ We've just stored the screen x-coordinate of the \ vertex on the XX3 heap, so now for the y-coordinate TXA \ Store the heap pointer in X on the stack (at this PHA \ it points to the last entry on the heap, not the first \ free byte) LDA #0 \ Set U = 0 STA U LDA T \ Set Q = z_lo STA Q LDA XX15+3 \ Set A = y_lo CMP Q \ If y_lo < z_lo jump to LL67 BCC LL67 JSR LL61 \ Call LL61 to calculate: \ \ (U R) = 256 * A / Q \ = 256 * y / z \ \ which we can do as y >= z JMP LL68 \ Jump to LL68 to skip the division for y_lo < z_lo .LL70 \ This gets called from below when y_sign is negative LDA #Y \ Calculate #Y + (U R), starting with the low bytes CLC ADC R STA XX3,X \ Store the low byte of the result in the X-th byte of \ the heap at XX3 INX \ Increment the heap pointer in X to point to the next \ byte LDA #0 \ And then add the high bytes ADC U STA XX3,X \ Store the high byte of the result in the X-th byte of \ the heap at XX3 JMP LL50 \ Jump to LL68 to skip the division for y_lo < z_lo .LL67 JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ = 256 * y / z \ \ Because y < z, the result fits into one byte, and we \ also know that U = 0, so (U R) also contains the \ result .LL68 \ At this point we have: \ \ (U R) = y / z \ \ so (U R) contains the vertex's y-coordinate projected \ on screen \ \ We now want to convert this to a screen y-coordinate \ and stick it on the XX3 heap, much like we did with \ the x-coordinate above. Again, we convert the \ coordinate by adding or subtracting the y-coordinate \ of the centre of the screen, which is in the constant \ #Y, but this time we do the opposite, as a positive \ projected y-coordinate, i.e. up the space y-axis and \ up the screen, converts to a low y-coordinate, which \ is the opposite way round to the x-coordinates PLA \ Restore the heap pointer from the stack into X TAX INX \ When we stored the heap pointer, it pointed to the \ last entry on the heap, not the first free byte, so we \ increment it so it does point to the next free byte LDA XX15+5 \ If y_sign is negative, jump up to LL70, which will BMI LL70 \ store #Y + (U R) on the XX3 heap and return by jumping \ down to LL50 below LDA #Y \ Calculate #Y - (U R), starting with the low bytes SEC SBC R STA XX3,X \ Store the low byte of the result in the X-th byte of \ the heap at XX3 INX \ Increment the heap pointer in X to point to the next \ byte LDA #0 \ And then subtract the high bytes SBC U STA XX3,X \ Store the high byte of the result in the X-th byte of \ the heap at XX3 .LL50 \ By the time we get here, the XX3 heap contains four \ bytes containing the screen coordinates of the current \ vertex, in the order: x_lo, x_hi, y_lo, y_hi CLC \ Set CNT = CNT + 4, so the heap pointer points to the LDA CNT \ next free byte on the heap ADC #4 STA CNT LDA XX17 \ Set A to the offset of the current vertex's data, \ which we set in part 6 ADC #6 \ Set Y = A + 6, so Y now points to the data for the TAY \ next vertex BCS LL72 \ If the addition just overflowed, meaning we just tried \ to access vertex #43, jump to LL72, as the maximum \ number of vertices allowed is 42 CMP XX20 \ If Y >= number of vertices * 6 (which we stored in BCS LL72 \ XX20 in part 6), jump to LL72, as we have processed \ all the vertices for this ship JMP LL48 \ Loop back to LL48 in part 6 to calculate visibility \ and screen coordinates for the next vertexName: LL9 (Part 8 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Calculate the screen coordinates of visible vertices Deep dive: Drawing ships

This section projects the coordinate of the vertex into screen coordinates and stores them on the XX3 heap. By the end of this part, the XX3 heap contains four bytes containing the 16-bit screen coordinates of the current vertex, in the order: x_lo, x_hi, y_lo, y_hi. When we reach here, we are looping through the vertices, and we've just worked out the coordinates of the vertex in our normal coordinate system, as follows XX15(2 0) (x_sign x_lo) = x-coordinate of the current vertex XX15(5 3) (y_sign y_lo) = y-coordinate of the current vertex (U T) (z_sign z_lo) = z-coordinate of the current vertex Note that U is always zero when we get to this point, as the vertex is always in front of us (so it has a positive z-coordinate, into the screen). Other entry points: LL70+1 Contains an RTS (as the first byte of an LDA instruction).LL72 LDA XX1+31 \ If bit 5 of the ship's byte #31 is clear, then the AND #%00100000 \ ship is not currently exploding, so jump down to EE31 BEQ EE31 LDA XX1+31 \ The ship is exploding, so set bit 3 of the ship's byte ORA #8 \ #31 to denote that we are drawing something on-screen STA XX1+31 \ for this ship JMP DOEXP \ Jump to DOEXP to display the explosion cloud, \ returning from the subroutine using a tail call .EE31 LDA #%00001000 \ If bit 3 of the ship's byte #31 is clear, then there BIT XX1+31 \ is nothing already being shown for this ship, so skip BEQ LL74 \ to LL74 as we don't need to erase anything from the \ screen JSR LL155 \ Otherwise call LL155 to draw the existing ship, which \ removes it from the screen LDA #%00001000 \ Set bit 3 of A so the next instruction sets bit 3 of \ the ship's byte #31 to denote that we are drawing \ something on-screen for this ship .LL74 TSB XX1+31 \ Apply bit 3 of A to the ship's byte #31, so if there \ was no ship already on screen, the bit is clear, \ otherwise it is set (the TSB instruction applies the \ accumulator to the memory location using an OR) LDY #9 \ Fetch byte #9 of the ship's blueprint, which is the LDA (XX0),Y \ number of edges, and store it in XX20 STA XX20 STZ U \ Set U = 0 (though we increment it to 1 below) STZ XX17 \ Set XX17 = 0, which we are going to use as a counter \ for stepping through the ship's edges INC U \ We are going to start calculating the lines we need to \ draw for this ship, and will store them in the ship \ line heap, using U to point to the end of the heap, so \ we start by setting U = 1 BIT XX1+31 \ If bit 6 of the ship's byte #31 is clear, then the BVC LL170 \ ship is not firing its lasers, so jump to LL170 to \ skip the drawing of laser lines \ The ship is firing its laser at us, so we need to draw \ the laser lines LDA #%01000000 \ Clear bit 6 of the ship's byte #31 so the ship doesn't TRB XX1+31 \ keep firing endlessly (the TRB instruction applies the \ inverse of the accumulator, %10111111, to the memory \ location using an AND) LDY #6 \ Fetch byte #6 of the ship's blueprint, which is the LDA (XX0),Y \ number * 4 of the vertex where the ship has its lasers TAY \ Put the vertex number into Y, where it can act as an \ index into list of vertex screen coordinates we added \ to the XX3 heap LDX XX3,Y \ Fetch the x_lo coordinate of the laser vertex from the STX XX15 \ XX3 heap into XX15 INX \ If X = 255 then the laser vertex is not visible, as BEQ LL170 \ the value we stored in part 2 wasn't overwritten by \ the vertex calculation in part 6 and 7, so jump to \ LL170 to skip drawing the laser lines \ We now build a laser beam from the ship's laser vertex \ towards our ship, as follows: \ \ XX15(1 0) = laser vertex x-coordinate \ \ XX15(3 2) = laser vertex y-coordinate \ \ XX15(5 4) = x-coordinate of the end of the beam \ \ XX12(1 0) = y-coordinate of the end of the beam \ \ The end of the laser beam will be set positioned to \ look good, rather than being directly aimed at us, as \ otherwise we would only see a flashing point of light \ as they unleashed their attack LDX XX3+1,Y \ Fetch the x_hi coordinate of the laser vertex from the STX XX15+1 \ XX3 heap into XX15+1 INX \ If X = 255 then the laser vertex is not visible, as BEQ LL170 \ the value we stored in part 2 wasn't overwritten by \ a vertex calculation in part 6 and 7, so jump to LL170 \ to skip drawing the laser beam LDX XX3+2,Y \ Fetch the y_lo coordinate of the laser vertex from the STX XX15+2 \ XX3 heap into XX15+2 LDX XX3+3,Y \ Fetch the y_hi coordinate of the laser vertex from the STX XX15+3 \ XX3 heap into XX15+3 LDA #0 \ Set XX15(5 4) = 0, so their laser beam fires to the STA XX15+4 \ left edge of the screen STA XX15+5 STA XX12+1 \ Set XX12(1 0) = the ship's z_lo coordinate, which will LDA XX1+6 \ effectively make the vertical position of the end of STA XX12 \ the laser beam move around as the ship moves in space LDA XX1+2 \ If the ship's x_sign is positive, skip the next BPL P%+4 \ instruction DEC XX15+4 \ The ship's x_sign is negative (i.e. it's on the left \ side of the screen), so switch the laser beam so it \ goes to the right edge of the screen by decrementing \ XX15(5 4) to 255 JSR LL145 \ Call LL145 to see if the laser beam needs to be \ clipped to fit on-screen, returning the clipped line's \ end-points in (X1, Y1) and (X2, Y2) BCS LL170 \ If the C flag is set then the line is not visible on \ screen, so jump to LL170 so we don't store this line \ in the ship line heap LDA U \ Fetch the ship line heap pointer, which points to the \ next free byte on the heap, into A ADC #3 \ Set Y = A + 3, so Y now points to the fourth byte in TAY \ this coordinate LDA #255 \ Set the fourth byte to 255 to act as a flag to the I/O STA (XX19),Y \ processor to draw the following line in red, as it is \ a laser (this flag is read and acted on in the ADDBYT \ routine in the I/O processor INY \ Increment Y to point to the next coordinate block LDA XX15 \ Add X1 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+1 \ Add Y1 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+2 \ Add X2 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+3 \ Add Y2 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer STY U \ Store the updated ship line heap pointer in UName: LL9 (Part 9 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Draw laser beams if the ship is firing its laser at us Deep dive: Drawing shipsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: No direct references to this subroutine in this source file

This part sets things up so we can loop through the edges in the next part. It also adds a line to the ship line heap, if the ship is firing at us. When we get here, the heap at XX3 contains all the visible vertex screen coordinates..LL170 LDY #3 \ Fetch byte #3 of the ship's blueprint, which contains CLC \ the low byte of the offset to the edges data LDA (XX0),Y ADC XX0 \ Set V = low byte edges offset + XX0 STA V LDY #16 \ Fetch byte #16 of the ship's blueprint, which contains LDA (XX0),Y \ the high byte of the offset to the edges data ADC XX0+1 \ Set V+1 = high byte edges offset + XX0+1 STA V+1 \ \ So V(1 0) now points to the start of the edges data \ for this ship LDY #5 \ Fetch byte #5 of the ship's blueprint, which contains LDA (XX0),Y \ the maximum heap size for plotting the ship (which is STA T1 \ 1 + 4 * the maximum number of visible edges) and store \ it in T1 LDY XX17 \ Set Y to the edge counter in XX17 .LL75 LDA (V),Y \ Fetch byte #0 for this edge, which contains the \ visibility distance for this edge, beyond which the \ edge is not shown CMP XX4 \ If XX4 > the visibility distance, where XX4 contains BCC LL78 \ the ship's z-distance reduced to 0-31 (which we set in \ part 2), then this edge is too far away to be visible, \ so jump down to LL78 to move on to the next edge INY \ Increment Y to point to byte #1 LDA (V),Y \ Fetch byte #1 for this edge into A, so: \ \ A = %ffff ffff, where: \ \ * Bits 0-3 = the number of face 1 \ \ * Bits 4-7 = the number of face 2 INY \ Increment Y to point to byte #2 STA P \ Store byte #1 into P AND #%00001111 \ Extract the number of face 1 into X TAX LDA XX2,X \ If XX2+X is non-zero then we decided in part 5 that BNE LL79 \ face 1 is visible, so jump to LL79 LDA P \ Fetch byte #1 for this edge into A LSR A \ Shift right four times to extract the number of face 2 LSR A \ from bits 4-7 into X LSR A LSR A TAX LDA XX2,X \ If XX2+X is zero then we decided in part 5 that BEQ LL78 \ face 2 is hidden, so jump to LL78 .LL79 \ We now build the screen line for this edge, as \ follows: \ \ XX15(1 0) = start x-coordinate \ \ XX15(3 2) = start y-coordinate \ \ XX15(5 4) = end x-coordinate \ \ XX12(1 0) = end y-coordinate \ \ We can then pass this to the line clipping routine \ before storing the resulting line in the ship line \ heap LDA (V),Y \ Fetch byte #2 for this edge into X, which contains TAX \ the number of the vertex at the start of the edge INY \ Increment Y to point to byte #3 LDA (V),Y \ Fetch byte #3 for this edge into Q, which contains STA Q \ the number of the vertex at the end of the edge LDA XX3+1,X \ Fetch the x_hi coordinate of the edge's start vertex STA XX15+1 \ from the XX3 heap into XX15+1 LDA XX3,X \ Fetch the x_lo coordinate of the edge's start vertex STA XX15 \ from the XX3 heap into XX15 LDA XX3+2,X \ Fetch the y_lo coordinate of the edge's start vertex STA XX15+2 \ from the XX3 heap into XX15+2 LDA XX3+3,X \ Fetch the y_hi coordinate of the edge's start vertex STA XX15+3 \ from the XX3 heap into XX15+3 LDX Q \ Set X to the number of the vertex at the end of the \ edge, which we stored in Q LDA XX3,X \ Fetch the x_lo coordinate of the edge's end vertex STA XX15+4 \ from the XX3 heap into XX15+4 LDA XX3+3,X \ Fetch the y_hi coordinate of the edge's end vertex STA XX12+1 \ from the XX3 heap into XX11+1 LDA XX3+2,X \ Fetch the y_lo coordinate of the edge's end vertex STA XX12 \ from the XX3 heap into XX12 LDA XX3+1,X \ Fetch the x_hi coordinate of the edge's end vertex STA XX15+5 \ from the XX3 heap into XX15+5 JSR LL147 \ Call LL147 to see if the new line segment needs to be \ clipped to fit on-screen, returning the clipped line's \ end-points in (X1, Y1) and (X2, Y2) BCS LL78 \ If the C flag is set then the line is not visible on \ screen, so jump to LL78 so we don't store this line \ in the ship line heapName: LL9 (Part 10 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Calculate the visibility of each of the ship's edges Deep dive: Drawing shipsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: No direct references to this subroutine in this source file

This part calculates which edges are visible - in other words, which lines we should draw - and clips them to fit on the screen. When we get here, the heap at XX3 contains all the visible vertex screen coordinates..LL80 LDY U \ Fetch the ship line heap pointer, which points to the \ next free byte on the heap, into Y LDA XX15 \ Add X1 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+1 \ Add Y1 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+2 \ Add X2 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer LDA XX15+3 \ Add Y2 to the end of the heap STA (XX19),Y INY \ Increment the heap pointer STY U \ Store the updated ship line heap pointer in U CPY T1 \ If Y >= T1 then we have reached the maximum number of BCS LL81 \ edge lines that we can store in the ship line heap, so \ skip to LL81 so we don't loop back for the next edge .LL78 INC XX17 \ Increment the edge counter to point to the next edge LDY XX17 \ If Y >= XX20, which contains the number of edges in CPY XX20 \ the blueprint, jump to LL81 as we have processed all BCS LL81 \ the edges and don't need to loop back for the next one LDY #0 \ Set Y to point to byte #0 again, ready for the next \ edge LDA V \ Increment V by 4 so V(1 0) points to the data for the ADC #4 \ next edge STA V BCC ll81 \ If the above addition didn't overflow, jump to ll81 INC V+1 \ Otherwise increment the high byte of V(1 0), as we \ just moved the V(1 0) pointer past a page boundary .ll81 JMP LL75 \ Loop back to LL75 to process the next edge .LL81 \ We have finished adding lines to the ship line heap, \ so now we need to set the first byte of the heap to \ the number of bytes stored there LDA U \ Fetch the ship line heap pointer from U into A, which \ points to the end of the heap, and therefore contains \ the heap size STA (XX19) \ Store A as the first byte of the ship line heap, so \ the heap is now correctly set upName: LL9 (Part 11 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Add all visible edges to the ship line heap Deep dive: Drawing shipsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * SHPPT calls entry point LL81+2

This part adds all the visible edges to the ship line heap, so we can draw them in part 12. Other entry points: LL81+2 Draw the contents of the ship line heap, used to draw the ship as a dot from SHPPT.LL155 LDA NEEDKEY \ If NEEDKEY is zero, jump to notneed to skip the next BEQ notneed \ two instructions, so we only read the keyboard if \ NEEDKEY is non-zero STZ NEEDKEY \ Set NEEDKEY = 0 JSR RDKEY \ Scan the keyboard for a key press and return the \ internal key number in X (or 0 for no key press) .notneed LDA (XX19) \ Fetch the first byte from the ship line heap into A, \ which contains the number of bytes in the heap CMP #5 \ If the heap size is less than 5, there is nothing to BCC nolines \ draw, so return from the subroutine (as nolines \ contains an RTS) LDA #129 \ Send an OSWRCH 129 command to the I/O processor to JSR OSWRCH \ tell it to start receiving a new line to draw (so \ when we send it OSWRCH commands from now on, the I/O \ processor will add these bytes to this line until \ they are all sent, at which point it will draw the \ line) LDY #0 \ Fetch the first byte from the ship line heap into A, LDA (XX19),Y \ which contains the number of bytes in the heap STA XX20 \ Store the heap size in XX20 .LL27 LDA (XX19),Y \ Fetch the Y-th line coordinate from the heap and send JSR OSWRCH \ it to the I/O processor to add to the line buffer INY \ Increment the heap pointer CPY XX20 \ If the heap counter is less than the size of the heap, BCC LL27 \ loop back to LL27 to draw the next line from the heap \ By the time we get here, we have sent all the line \ coordinates to the I/O processor, so it will have \ drawn the line after we sent the last one .nolines RTS \ Return from the subroutineName: LL9 (Part 12 of 12) [Show more] Type: Subroutine Category: Drawing ships Summary: Draw ship: Draw all the visible edges from the ship line heap Deep dive: Drawing shipsContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: No direct references to this subroutine in this source file

This part draws the lines in the ship line heap, which is used both to draw the ship, and to remove it from the screen. If NEEDKEY is non-zero, then this routine also scans the keyboard for a key press and returns the internal key number in X (or 0 for no key press)..LL118 LDA XX15+1 \ If x1_hi is positive, jump down to LL119 to skip BPL LL119 \ the following STA S \ Otherwise x1_hi is negative, i.e. off the left of the \ screen, so set S = x1_hi JSR LL120 \ Call LL120 to calculate: \ \ (Y X) = (S x1_lo) * XX12+2 if T = 0 \ = x1 * gradient \ \ (Y X) = (S x1_lo) / XX12+2 if T <> 0 \ = x1 / gradient \ \ with the sign of (Y X) set to the opposite of the \ line's direction of slope TXA \ Set y1 = y1 + (Y X) CLC \ ADC XX15+2 \ starting with the low bytes STA XX15+2 TYA \ And then adding the high bytes ADC XX15+3 STA XX15+3 LDA #0 \ Set x1 = 0 STA XX15 STA XX15+1 TAX \ Set X = 0 so the next instruction becomes a JMP .LL119 BEQ LL134 \ If x1_hi = 0 then jump down to LL134 to skip the \ following, as the x-coordinate is already on-screen \ (as 0 <= (x_hi x_lo) <= 255) STA S \ Otherwise x1_hi is positive, i.e. x1 >= 256 and off DEC S \ the right side of the screen, so set S = x1_hi - 1 JSR LL120 \ Call LL120 to calculate: \ \ (Y X) = (S x1_lo) * XX12+2 if T = 0 \ = (x1 - 256) * gradient \ \ (Y X) = (S x1_lo) / XX12+2 if T <> 0 \ = (x1 - 256) / gradient \ \ with the sign of (Y X) set to the opposite of the \ line's direction of slope TXA \ Set y1 = y1 + (Y X) CLC \ ADC XX15+2 \ starting with the low bytes STA XX15+2 TYA \ And then adding the high bytes ADC XX15+3 STA XX15+3 LDX #255 \ Set x1 = 255 STX XX15 INX STX XX15+1 .LL134 \ We have moved the point so the x-coordinate is on \ screen (i.e. in the range 0-255), so now for the \ y-coordinate LDA XX15+3 \ If y1_hi is positive, jump down to LL119 to skip BPL LL135 \ the following STA S \ Otherwise y1_hi is negative, i.e. off the top of the \ screen, so set S = y1_hi LDA XX15+2 \ Set R = y1_lo STA R JSR LL123 \ Call LL123 to calculate: \ \ (Y X) = (S R) / XX12+2 if T = 0 \ = y1 / gradient \ \ (Y X) = (S R) * XX12+2 if T <> 0 \ = y1 * gradient \ \ with the sign of (Y X) set to the opposite of the \ line's direction of slope TXA \ Set x1 = x1 + (Y X) CLC \ ADC XX15 \ starting with the low bytes STA XX15 TYA \ And then adding the high bytes ADC XX15+1 STA XX15+1 LDA #0 \ Set y1 = 0 STA XX15+2 STA XX15+3 .LL135 LDA XX15+2 \ Set (S R) = (y1_hi y1_lo) - 192 SEC \ SBC #Y*2 \ starting with the low bytes STA R LDA XX15+3 \ And then subtracting the high bytes SBC #0 STA S BCC LL136 \ If the subtraction underflowed, i.e. if y1 < 192, then \ y1 is already on-screen, so jump to LL136 to return \ from the subroutine, as we are done .LL139 \ If we get here then y1 >= 192, i.e. off the bottom of \ the screen JSR LL123 \ Call LL123 to calculate: \ \ (Y X) = (S R) / XX12+2 if T = 0 \ = (y1 - 192) / gradient \ \ (Y X) = (S R) * XX12+2 if T <> 0 \ = (y1 - 192) * gradient \ \ with the sign of (Y X) set to the opposite of the \ line's direction of slope TXA \ Set x1 = x1 + (Y X) CLC \ ADC XX15 \ starting with the low bytes STA XX15 TYA \ And then adding the high bytes ADC XX15+1 STA XX15+1 LDA #Y*2-1 \ Set y1 = 2 * #Y - 1. The constant #Y is 96, the STA XX15+2 \ y-coordinate of the mid-point of the space view, so LDA #0 \ this sets Y2 to 191, the y-coordinate of the bottom STA XX15+3 \ pixel row of the space view .LL136 RTS \ Return from the subroutineName: LL118 [Show more] Type: Subroutine Category: Drawing lines Summary: Move a point along a line until it is on-screen Deep dive: Line-clippingContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * LL145 (Part 4 of 4) calls LL118

Given a point (x1, y1), a gradient and a direction of slope, move the point along the line until it is on-screen, so this effectively clips the (x1, y1) end of a line to be on the screen. See the deep dive on "Line-clipping" for more details. Arguments: XX15(1 0) x1 as a 16-bit coordinate (x1_hi x1_lo) XX15(3 2) y1 as a 16-bit coordinate (y1_hi y1_lo) XX12+2 The line's gradient * 256 (so 1.0 = 256) XX12+3 The direction of slope: * Positive (bit 7 clear) = top left to bottom right * Negative (bit 7 set) = top right to bottom left T The type of slope: * 0 if it's more vertical than horizontal * &FF if it's more horizontal than vertical Returns: XX15 x1 as an 8-bit coordinate XX15+2 y1 as an 8-bit coordinate Other entry points: LL118-1 Contains an RTS.LL120 LDA XX15 \ Set R = x1_lo STA R JSR LL129 \ Call LL129 to do the following: \ \ Q = XX12+2 \ = line gradient \ \ A = S EOR XX12+3 \ = S EOR slope direction \ \ (S R) = |S R| \ \ So A contains the sign of S * slope direction PHA \ Store A on the stack so we can use it later LDX T \ If T is non-zero, so it's more horizontal than BNE LL121 \ vertical, jump down to LL121 to calculate this \ instead: \ \ (Y X) = (S R) / Q .LL122 \ The following calculates: \ \ (Y X) = (S R) * Q \ \ using the same shift-and-add algorithm that's \ documented in MULT1 LDA #0 \ Set A = 0 TAX \ Set (Y X) = 0 so we can start building the answer here TAY LSR S \ Shift (S R) to the right, so we extract bit 0 of (S R) ROR R \ into the C flag ASL Q \ Shift Q to the left, catching bit 7 in the C flag BCC LL126 \ If C (i.e. the next bit from Q) is clear, do not do \ the addition for this bit of Q, and instead skip to \ LL126 to just do the shifts .LL125 TXA \ Set (Y X) = (Y X) + (S R) CLC \ ADC R \ starting with the low bytes TAX TYA \ And then doing the high bytes ADC S TAY .LL126 LSR S \ Shift (S R) to the right ROR R ASL Q \ Shift Q to the left, catching bit 7 in the C flag BCS LL125 \ If C (i.e. the next bit from Q) is set, loop back to \ LL125 to do the addition for this bit of Q BNE LL126 \ If Q has not yet run out of set bits, loop back to \ LL126 to do the "shift" part of shift-and-add until \ we have done additions for all the set bits in Q, to \ give us our multiplication result PLA \ Restore A, which we calculated above, from the stack BPL LL133 \ If A is positive jump to LL133 to negate (Y X) and \ return from the subroutine using a tail call RTS \ Return from the subroutineName: LL120 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate (Y X) = (S x1_lo) * XX12+2 or (S x1_lo) / XX12+2Context: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * LL118 calls LL120 * LL123 calls entry point LL122

Calculate the following: * If T = 0 (more vertical than horizontal), (Y X) = (S x1_lo) * XX12+2 * If T <> 0 (more horizontal than vertical), (Y X) = (S x1_lo) / XX12+2 giving (Y X) the opposite sign to the slope direction in XX12+3. Other entry points: LL122 Calculate (Y X) = (S R) * Q and set the sign to the opposite of the top byte on the stack.LL123 JSR LL129 \ Call LL129 to do the following: \ \ Q = XX12+2 \ = line gradient \ \ A = S EOR XX12+3 \ = S EOR slope direction \ \ (S R) = |S R| \ \ So A contains the sign of S * slope direction PHA \ Store A on the stack so we can use it later LDX T \ If T is non-zero, so it's more horizontal than BNE LL122 \ vertical, jump up to LL122 to calculate this instead: \ \ (Y X) = (S R) * Q .LL121 \ The following calculates: \ \ (Y X) = (S R) / Q \ \ using the same shift-and-subtract algorithm that's \ documented in TIS2 LDA #%11111111 \ Set Y = %11111111 TAY ASL A \ Set X = %11111110 TAX \ This sets (Y X) = %1111111111111110, so we can rotate \ through 15 loop iterations, getting a 1 each time, and \ then getting a 0 on the 16th iteration... and we can \ also use it to catch our result bits into bit 0 each \ time .LL130 ASL R \ Shift (S R) to the left ROL S LDA S \ Set A = S BCS LL131 \ If bit 7 of S was set, then jump straight to the \ subtraction CMP Q \ If A < Q (i.e. S < Q), skip the following subtractions BCC LL132 .LL131 SBC Q \ A >= Q (i.e. S >= Q) so set: STA S \ \ S = (A R) - Q \ = (S R) - Q \ \ starting with the low bytes (we know the C flag is \ set so the subtraction will be correct) LDA R \ And then doing the high bytes SBC #0 STA R SEC \ Set the C flag to rotate into the result in (Y X) .LL132 TXA \ Rotate the counter in (Y X) to the left, and catch the ROL A \ result bit into bit 0 (which will be a 0 if we didn't TAX \ do the subtraction, or 1 if we did) TYA ROL A TAY BCS LL130 \ If we still have set bits in (Y X), loop back to LL130 \ to do the next iteration of 15, until we have done the \ whole division PLA \ Restore A, which we calculated above, from the stack BMI LL128 \ If A is negative jump to LL128 to return from the \ subroutine with (Y X) as is .LL133 TXA \ Otherwise negate (Y X) using two's complement by first EOR #%11111111 \ setting the low byte to ~X + 1 ADC #1 \ TAX \ The addition works as we know the C flag is clear from \ when we passed through the BCS above TYA \ Then set the high byte to ~Y + C EOR #%11111111 ADC #0 TAY .LL128 RTS \ Return from the subroutineName: LL123 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate (Y X) = (S R) / XX12+2 or (S R) * XX12+2Context: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * LL118 calls LL123 * LL120 calls entry point LL121 * LL120 calls entry point LL133

Calculate the following: * If T = 0, calculate (Y X) = (S R) / XX12+2 * If T <> 0, calculate (Y X) = (S R) * XX12+2 giving (Y X) the opposite sign to the slope direction in XX12+3. Arguments: XX12+2 The line's gradient * 256 (so 1.0 = 256) XX12+3 The direction of slope: * Bit 7 clear means top left to bottom right * Bit 7 set means top right to bottom left Other entry points: LL121 Calculate (Y X) = (S R) / Q and set the sign to the opposite of the top byte on the stack LL133 Negate (Y X) and return from the subroutine LL128 Contains an RTS.LL129 LDX XX12+2 \ Set Q = XX12+2 STX Q LDA S \ If S is positive, jump to LL127 BPL LL127 LDA #0 \ Otherwise set R = -R SEC SBC R STA R LDA S \ Push S onto the stack PHA EOR #%11111111 \ Set S = ~S + 1 + C ADC #0 STA S PLA \ Pull the original, negative S from the stack into A .LL127 EOR XX12+3 \ Set A = original argument S EOR'd with XX12+3 RTS \ Return from the subroutineName: LL129 [Show more] Type: Subroutine Category: Maths (Arithmetic) Summary: Calculate Q = XX12+2, A = S EOR XX12+3 and (S R) = |S R|Context: See this subroutine on its own page References: This subroutine is called as follows: * LL120 calls LL129 * LL123 calls LL129

Do the following, in this order: Q = XX12+2 A = S EOR XX12+3 (S R) = |S R| This sets up the variables required above to calculate (S R) / XX12+2 and give the result the opposite sign to XX13+3..LL145 LDA #0 \ Set SWAP = 0 STA SWAP LDA XX15+5 \ Set A = x2_hi .LL147 LDX #Y*2-1 \ Set Y2 = #Y * 2 - 1. The constant #Y is 96, the \ y-coordinate of the mid-point of the space view, so \ this sets Y2 to 191, the y-coordinate of the bottom \ pixel row of the space view ORA XX12+1 \ If one or both of x2_hi and y2_hi are non-zero, jump BNE LL107 \ to LL107 to skip the following CPX XX12 \ If y2_lo > the y-coordinate of the bottom of screen BCC LL107 \ then (x2, y2) is off the bottom of the screen, so skip \ the following instruction, leaving X at 191 LDX #0 \ Set X = 0 .LL107 STX XX13 \ Set XX13 = X, so we have: \ \ * XX13 = 0 if x2_hi = y2_hi = 0, y2_lo is on-screen \ \ * XX13 = 191 if x2_hi or y2_hi are non-zero or y2_lo \ is off the bottom of the screen \ \ In other words, XX13 is 191 if (x2, y2) is off-screen, \ otherwise it is 0 LDA XX15+1 \ If one or both of x1_hi and y1_hi are non-zero, jump ORA XX15+3 \ jump to LL83 BNE LL83 LDA #Y*2-1 \ If y1_lo > the y-coordinate of the bottom of screen CMP XX15+2 \ then (x1, y1) is off the bottom of the screen, so jump BCC LL83 \ to LL83 \ If we get here, (x1, y1) is on-screen LDA XX13 \ If XX13 is non-zero, i.e. (x2, y2) is off-screen, jump BNE LL108 \ to LL108 to halve it before continuing at LL83 \ If we get here, the high bytes are all zero, which \ means the x-coordinates are < 256 and therefore fit on \ screen, and neither coordinate is off the bottom of \ the screen. That means both coordinates are already on \ screen, so we don't need to do any clipping, all we \ need to do is move the low bytes into (X1, Y1) and \ X2, Y2) and return .LL146 \ If we get here then we have clipped our line to the \ (if we had to clip it at all), so we move the low \ bytes from (x1, y1) and (x2, y2) into (X1, Y1) and \ (X2, Y2), remembering that they share locations with \ XX15: \ \ X1 = XX15 \ Y1 = XX15+1 \ X2 = XX15+2 \ Y2 = XX15+3 \ \ X1 already contains x1_lo, so now we do the rest LDA XX15+2 \ Set Y1 (aka XX15+1) = y1_lo STA XX15+1 LDA XX15+4 \ Set X2 (aka XX15+2) = x2_lo STA XX15+2 LDA XX12 \ Set Y2 (aka XX15+3) = y2_lo STA XX15+3 LDA SWAP \ If SWAP = 0, then we didn't have to swap the line BEQ noswap \ coordinates around during the clipping process, so \ jump to noswap to skip the following swap LDA X1 \ Otherwise the coordinates were swapped above, LDY X2 \ so we swap (X1, Y1) and (X2, Y2) back again STA X2 STY X1 LDA Y1 LDY Y2 STA Y2 STY Y1 .noswap CLC \ Clear the C flag as the clipped line fits on-screen RTS \ Return from the subroutine .LL109 SEC \ Set the C flag to indicate the clipped line does not \ fit on-screen RTS \ Return from the subroutine .LL108 LSR XX13 \ If we get here then (x2, y2) is off-screen and XX13 is \ 191, so shift XX13 right to halve it to 95Name: LL145 (Part 1 of 4) [Show more] Type: Subroutine Category: Drawing lines Summary: Clip line: Work out which end-points are on-screen, if any Deep dive: Line-clipping Extended screen coordinatesContext: See this subroutine on its own page Variations: See code variations for this subroutine in the different versions References: This subroutine is called as follows: * BLINE calls LL145 * LL9 (Part 9 of 12) calls LL145 * SLIDE calls LL145 * LL9 (Part 10 of 12) calls entry point LL147

This routine clips the line from (x1, y1) to (x2, y2) so it fits on-screen, or returns an error if it can't be clipped to fit. The arguments are 16-bit coordinates, and the clipped line is returned using 8-bit screen coordinates. This part sets XX13 to reflect which of the two points are on-screen and off-screen. Arguments: XX15(1 0) x1 as a 16-bit coordinate (x1_hi x1_lo) XX15(3 2) y1 as a 16-bit coordinate (y1_hi y1_lo) XX15(5 4) x2 as a 16-bit coordinate (x2_hi x2_lo) XX12(1 0) y2 as a 16-bit coordinate (y2_hi y2_lo) Returns: (X1, Y1) Screen coordinate of the start of the clipped line (X2, Y2) Screen coordinate of the end of the clipped line C flag Clear if the clipped line fits on-screen, set if it doesn't XX13 The state of the original coordinates on-screen: * 0 = (x2, y2) on-screen * 95 = (x1, y1) on-screen, (x2, y2) off-screen * 191 = (x1, y1) off-screen, (x2, y2) off-screen So XX13 is non-zero if the end of the line was clipped, meaning the next line sent to BLINE can't join onto the end but has to start a new segment SWAP The swap status of the returned coordinates: * &FF if we swapped the values of (x1, y1) and (x2, y2) as part of the clipping process * 0 if the coordinates are still in the same order Y Y is preserved Other entry points: LL147 Don't initialise the values in SWAP or A.LL83 LDA XX13 \ If XX13 < 128 then only one of the points is on-screen BPL LL115 \ so jump down to LL115 to skip the checks of whether \ both points are in the strips to the right or bottom \ of the screen \ If we get here, both points are off-screen LDA XX15+1 \ If both x1_hi and x2_hi have bit 7 set, jump to LL109 AND XX15+5 \ to return from the subroutine with the C flag set, as BMI LL109 \ the entire line is above the top of the screen LDA XX15+3 \ If both y1_hi and y2_hi have bit 7 set, jump to LL109 AND XX12+1 \ to return from the subroutine with the C flag set, as BMI LL109 \ the entire line is to the left of the screen LDX XX15+1 \ Set A = X = x1_hi - 1 DEX TXA LDX XX15+5 \ Set XX12+2 = x2_hi - 1 DEX STX XX12+2 ORA XX12+2 \ If neither (x1_hi - 1) or (x2_hi - 1) have bit 7 set, BPL LL109 \ jump to LL109 to return from the subroutine with the C \ flag set, as the line doesn't fit on-screen LDA XX15+2 \ If y1_lo < y-coordinate of screen bottom, clear the C CMP #Y*2 \ flag, otherwise set it LDA XX15+3 \ Set XX12+2 = y1_hi - (1 - C), so: SBC #0 \ STA XX12+2 \ * Set XX12+2 = y1_hi - 1 if y1_lo is on-screen \ * Set XX12+2 = y1_hi otherwise \ \ We do this subtraction because we are only interested \ in trying to move the points up by a screen if that \ might move the point into the space view portion of \ the screen, i.e. if y1_lo is on-screen LDA XX12 \ If y2_lo < y-coordinate of screen bottom, clear the C CMP #Y*2 \ flag, otherwise set it LDA XX12+1 \ Set XX12+2 = y2_hi - (1 - C), so: SBC #0 \ \ * Set XX12+1 = y2_hi - 1 if y2_lo is on-screen \ * Set XX12+1 = y2_hi otherwise \ \ We do this subtraction because we are only interested \ in trying to move the points up by a screen if that \ might move the point into the space view portion of \ the screen, i.e. if y1_lo is on-screen ORA XX12+2 \ If neither XX12+1 or XX12+2 have bit 7 set, jump to BPL LL109 \ LL109 to return from the subroutine with the C flag \ set, as the line doesn't fit on-screenName: LL145 (Part 2 of 4) [Show more] Type: Subroutine Category: Drawing lines Summary: Clip line: Work out if any part of the line is on-screen Deep dive: Line-clipping Extended screen coordinates

This part does a number of tests to see if the line is on or off the screen. If we get here then at least one of (x1, y1) and (x2, y2) is off-screen, with XX13 set as follows: * 0 = (x1, y1) off-screen, (x2, y2) on-screen * 95 = (x1, y1) on-screen, (x2, y2) off-screen * 191 = (x1, y1) off-screen, (x2, y2) off-screen where "off-screen" is defined as having a non-zero high byte in one of the coordinates, or in the case of y-coordinates, having a low byte > 191, the y-coordinate of the bottom of the space view..LL115 TYA \ Store Y on the stack so we can preserve it through the PHA \ call to this subroutine LDA XX15+4 \ Set XX12+2 = x2_lo - x1_lo SEC SBC XX15 STA XX12+2 LDA XX15+5 \ Set XX12+3 = x2_hi - x1_hi SBC XX15+1 STA XX12+3 LDA XX12 \ Set XX12+4 = y2_lo - y1_lo SEC SBC XX15+2 STA XX12+4 LDA XX12+1 \ Set XX12+5 = y2_hi - y1_hi SBC XX15+3 STA XX12+5 \ So we now have: \ \ delta_x in XX12(3 2) \ delta_y in XX12(5 4) \ \ where the delta is (x1, y1) - (x2, y2)) EOR XX12+3 \ Set S = the sign of delta_x * the sign of delta_y, so STA S \ if bit 7 of S is set, the deltas have different signs LDA XX12+5 \ If delta_y_hi is positive, jump down to LL110 to skip BPL LL110 \ the following LDA #0 \ Otherwise flip the sign of delta_y to make it SEC \ positive, starting with the low bytes SBC XX12+4 STA XX12+4 LDA #0 \ And then doing the high bytes, so now: SBC XX12+5 \ STA XX12+5 \ XX12(5 4) = |delta_y| .LL110 LDA XX12+3 \ If delta_x_hi is positive, jump down to LL111 to skip BPL LL111 \ the following SEC \ Otherwise flip the sign of delta_x to make it LDA #0 \ positive, starting with the low bytes SBC XX12+2 STA XX12+2 LDA #0 \ And then doing the high bytes, so now: SBC XX12+3 \ \ (A XX12+2) = |delta_x| .LL111 \ We now keep halving |delta_x| and |delta_y| until \ both of them have zero in their high bytes TAX \ IF |delta_x_hi| is non-zero, skip the following BNE LL112 LDX XX12+5 \ If |delta_y_hi| = 0, jump down to LL113 (as both BEQ LL113 \ |delta_x_hi| and |delta_y_hi| are 0) .LL112 LSR A \ Halve the value of delta_x in (A XX12+2) ROR XX12+2 LSR XX12+5 \ Halve the value of delta_y XX12(5 4) ROR XX12+4 JMP LL111 \ Loop back to LL111 .LL113 \ By now, the high bytes of both |delta_x| and |delta_y| \ are zero STX T \ We know that X = 0 as that's what we tested with a BEQ \ above, so this sets T = 0 LDA XX12+2 \ If delta_x_lo < delta_y_lo, so our line is more CMP XX12+4 \ vertical than horizontal, jump to LL114 BCC LL114 STA Q \ Set Q = delta_x_lo LDA XX12+4 \ Set A = delta_y_lo JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ = 256 * delta_y_lo / delta_x_lo JMP LL116 \ Jump to LL116, as we now have the line's gradient in R .LL114 LDA XX12+4 \ Set Q = delta_y_lo STA Q LDA XX12+2 \ Set A = delta_x_lo JSR LL28 \ Call LL28 to calculate: \ \ R = 256 * A / Q \ = 256 * delta_x_lo / delta_y_lo DEC T \ T was set to 0 above, so this sets T = &FFName: LL145 (Part 3 of 4) [Show more] Type: Subroutine Category: Drawing lines Summary: Clip line: Calculate the line's gradient Deep dive: Line-clipping Extended screen coordinates.LL116 LDA R \ Store the gradient in XX12+2 STA XX12+2 LDA S \ Store the type of slope in XX12+3, bit 7 clear means STA XX12+3 \ top left to bottom right, bit 7 set means top right to \ bottom left LDA XX13 \ If XX13 = 0, skip the following instruction BEQ LL138 BPL LLX117 \ If XX13 is positive, it must be 95. This means \ (x1, y1) is on-screen but (x2, y2) isn't, so we jump \ to LLX117 to swap the (x1, y1) and (x2, y2) \ coordinates around before doing the actual clipping, \ because we need to clip (x2, y2) but the clipping \ routine at LL118 only clips (x1, y1) .LL138 \ If we get here, XX13 = 0 or 191, so (x1, y1) is \ off-screen and needs clipping JSR LL118 \ Call LL118 to move (x1, y1) along the line onto the \ screen, i.e. clip the line at the (x1, y1) end LDA XX13 \ If XX13 = 0, i.e. (x2, y2) is on-screen, jump down to BPL LL124 \ LL124 to return with a successfully clipped line .LL117 \ If we get here, XX13 = 191 (both coordinates are \ off-screen) LDA XX15+1 \ If either of x1_hi or y1_hi are non-zero, jump to ORA XX15+3 \ LL137 to return from the subroutine with the C flag BNE LL137 \ set, as the line doesn't fit on-screen LDA XX15+2 \ If y1_lo > y-coordinate of the bottom of the screen CMP #Y*2 \ jump to LL137 to return from the subroutine with the BCS LL137 \ C flag set, as the line doesn't fit on-screen .LLX117 \ If we get here, XX13 = 95 or 191, and in both cases \ (x2, y2) is off-screen, so we now need to swap the \ (x1, y1) and (x2, y2) coordinates around before doing \ the actual clipping, because we need to clip (x2, y2) \ but the clipping routine at LL118 only clips (x1, y1) LDX XX15 \ Swap x1_lo = x2_lo LDA XX15+4 STA XX15 STX XX15+4 LDA XX15+5 \ Swap x2_lo = x1_lo LDX XX15+1 STX XX15+5 STA XX15+1 LDX XX15+2 \ Swap y1_lo = y2_lo LDA XX12 STA XX15+2 STX XX12 LDA XX12+1 \ Swap y2_lo = y1_lo LDX XX15+3 STX XX12+1 STA XX15+3 JSR LL118 \ Call LL118 to move (x1, y1) along the line onto the \ screen, i.e. clip the line at the (x1, y1) end DEC SWAP \ Set SWAP = &FF to indicate that we just clipped the \ line at the (x2, y2) end by swapping the coordinates \ (the DEC does this as we set SWAP to 0 at the start of \ this subroutine) .LL124 PLA \ Restore Y from the stack so it gets preserved through TAY \ the call to this subroutine JMP LL146 \ Jump up to LL146 to move the low bytes of (x1, y1) and \ (x2, y2) into (X1, Y1) and (X2, Y2), and return from \ the subroutine with a successfully clipped line .LL137 PLA \ Restore Y from the stack so it gets preserved through TAY \ the call to this subroutine SEC \ Set the C flag to indicate the clipped line does not \ fit on-screen RTS \ Return from the subroutineName: LL145 (Part 4 of 4) [Show more] Type: Subroutine Category: Drawing lines Summary: Clip line: Call the routine in LL188 to do the actual clipping Deep dive: Line-clipping Extended screen coordinates

This part sets things up to call the routine in LL188, which does the actual clipping. If we get here, then R has been set to the gradient of the line (x1, y1) to (x2, y2), with T indicating the type of slope: * 0 = it's more vertical than horizontal * &FF = it's more horizontal than vertical and XX13 has been set as follows: * 0 = (x1, y1) off-screen, (x2, y2) on-screen * 95 = (x1, y1) on-screen, (x2, y2) off-screen * 191 = (x1, y1) off-screen, (x2, y2) off-screenPRINT "ELITE G" PRINT "Assembled at ", ~CODE_G% PRINT "Ends at ", ~P% PRINT "Code size is ", ~(P% - CODE_G%) PRINT "Execute at ", ~LOAD% PRINT "Reload at ", ~LOAD_G% PRINT "S.ELTG ", ~CODE_G%, " ", ~P%, " ", ~LOAD%, " ", ~LOAD_G% SAVE "3-assembled-output/ELTG.bin", CODE_G%, P%, LOAD%Save ELTG.bin

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Subroutine DOCOL (category: Text)

Set the text colour by sending a #SETCOL command to the I/O processor

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Subroutine DOEXP (category: Drawing ships)

Draw an exploding ship

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Subroutine DORND (category: Utility routines)

Generate random numbers

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Label EE28 in subroutine LL9 (Part 1 of 12)

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Label EE29 in subroutine LL9 (Part 5 of 12)

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Label EE30 in subroutine LL9 (Part 4 of 12)

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Label EE31 in subroutine LL9 (Part 9 of 12)

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Entry point EE51 in subroutine LL9 (Part 1 of 12) (category: Drawing ships)

Remove the current ship from the screen, called from SHPPT before drawing the ship as a point

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Label EE55 in subroutine LL9 (Part 1 of 12)

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Subroutine FMLTU (category: Maths (Arithmetic))

Calculate A = A * Q / 256

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Label LL10 in subroutine LL9 (Part 2 of 12)

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Entry point LL10-1 in subroutine LL9 (Part 2 of 12) (category: Drawing ships)

Contains an RTS

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Label LL107 in subroutine LL145 (Part 1 of 4)

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Label LL108 in subroutine LL145 (Part 1 of 4)

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Label LL109 in subroutine LL145 (Part 1 of 4)

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Label LL110 in subroutine LL145 (Part 3 of 4)

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Label LL111 in subroutine LL145 (Part 3 of 4)

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Label LL112 in subroutine LL145 (Part 3 of 4)

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Label LL113 in subroutine LL145 (Part 3 of 4)

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Label LL114 in subroutine LL145 (Part 3 of 4)

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Label LL115 in subroutine LL145 (Part 3 of 4)

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Label LL116 in subroutine LL145 (Part 4 of 4)

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Subroutine LL118 (category: Drawing lines)

Move a point along a line until it is on-screen

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Subroutine LL120 (category: Maths (Arithmetic))

Calculate (Y X) = (S x1_lo) * XX12+2 or (S x1_lo) / XX12+2

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Entry point LL121 in subroutine LL123 (category: Maths (Arithmetic))

Calculate (Y X) = (S R) / Q and set the sign to the opposite of the top byte on the stack

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Entry point LL122 in subroutine LL120 (category: Maths (Arithmetic))

Calculate (Y X) = (S R) * Q and set the sign to the opposite of the top byte on the stack

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Subroutine LL123 (category: Maths (Arithmetic))

Calculate (Y X) = (S R) / XX12+2 or (S R) * XX12+2

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Label LL124 in subroutine LL145 (Part 4 of 4)

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Entry point LL128 in subroutine LL123 (category: Maths (Arithmetic))

Contains an RTS

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Subroutine LL129 (category: Maths (Arithmetic))

Calculate Q = XX12+2, A = S EOR XX12+3 and (S R) = |S R|

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Label LL13 in subroutine LL9 (Part 2 of 12)

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Entry point LL133 in subroutine LL123 (category: Maths (Arithmetic))

Negate (Y X) and return from the subroutine LL128 Contains an RTS

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Label LL137 in subroutine LL145 (Part 4 of 4)

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Label LL138 in subroutine LL145 (Part 4 of 4)

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Label LL14 in subroutine LL9 (Part 1 of 12)

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Label LL140 in subroutine LL9 (Part 7 of 12)

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Subroutine LL145 (Part 1 of 4) (category: Drawing lines)

Clip line: Work out which end-points are on-screen, if any

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Label LL146 in subroutine LL145 (Part 1 of 4)

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Entry point LL147 in subroutine LL145 (Part 1 of 4) (category: Drawing lines)

Don't initialise the values in SWAP or A

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Label LL15 in subroutine LL9 (Part 3 of 12)

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Label LL155 in subroutine LL9 (Part 12 of 12)

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Label LL17 in subroutine LL9 (Part 3 of 12)

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Label LL170 in subroutine LL9 (Part 10 of 12)

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Label LL21 in subroutine LL9 (Part 3 of 12)

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Label LL25 in subroutine LL9 (Part 1 of 12)

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Label LL27 in subroutine LL9 (Part 12 of 12)

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Subroutine LL28 (category: Maths (Arithmetic))

Calculate R = 256 * A / Q

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Entry point LL31 in subroutine LL28 (category: Maths (Arithmetic))

Skips the A >= Q check and does not set the R counter, so this can be used for jumping straight into the division loop if R is already set to 254 and we know the division will work

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Subroutine LL38 (category: Maths (Arithmetic))

Calculate (S A) = (S R) + (A Q)

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Label LL41 in subroutine LL9 (Part 4 of 12)

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Label LL42 in subroutine LL9 (Part 6 of 12)

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Label LL48 in subroutine LL9 (Part 6 of 12)

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Label LL49 in subroutine LL9 (Part 6 of 12)

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Label LL50 in subroutine LL9 (Part 8 of 12)

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Subroutine LL51 (category: Maths (Geometry))

Calculate the dot product of XX15 and XX16

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Label LL52 in subroutine LL9 (Part 6 of 12)

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Label LL53 in subroutine LL9 (Part 6 of 12)

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Label LL54 in subroutine LL9 (Part 6 of 12)

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Label LL55 in subroutine LL9 (Part 6 of 12)

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Label LL56 in subroutine LL9 (Part 7 of 12)

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Label LL57 in subroutine LL9 (Part 7 of 12)

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Label LL60 in subroutine LL9 (Part 8 of 12)

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Subroutine LL61 (category: Maths (Arithmetic))

Calculate (U R) = 256 * A / Q

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Subroutine LL62 (category: Maths (Arithmetic))

Calculate 128 - (U R)

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Label LL65 in subroutine LL9 (Part 8 of 12)

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Label LL66 in subroutine LL9 (Part 8 of 12)

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Label LL67 in subroutine LL9 (Part 8 of 12)

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Label LL68 in subroutine LL9 (Part 8 of 12)

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Label LL69 in subroutine LL9 (Part 8 of 12)

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Label LL70 in subroutine LL9 (Part 8 of 12)

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Label LL72 in subroutine LL9 (Part 9 of 12)

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Label LL74 in subroutine LL9 (Part 9 of 12)

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Label LL75 in subroutine LL9 (Part 10 of 12)

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Label LL78 in subroutine LL9 (Part 11 of 12)

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Label LL79 in subroutine LL9 (Part 10 of 12)

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Label LL81 in subroutine LL9 (Part 11 of 12)

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Entry point LL81+2 in subroutine LL9 (Part 11 of 12) (category: Drawing ships)

Draw the contents of the ship line heap, used to draw the ship as a dot from SHPPT

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Label LL83 in subroutine LL145 (Part 2 of 4)

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Label LL86 in subroutine LL9 (Part 5 of 12)

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Label LL87 in subroutine LL9 (Part 5 of 12)

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Label LL88 in subroutine LL9 (Part 5 of 12)

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Label LL89 in subroutine LL9 (Part 5 of 12)

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Label LL90 in subroutine LL9 (Part 5 of 12)

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Label LL91 in subroutine LL9 (Part 5 of 12)

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Label LL92 in subroutine LL9 (Part 5 of 12)

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Label LL93 in subroutine LL9 (Part 5 of 12)

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Label LL94 in subroutine LL9 (Part 5 of 12)

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Label LLX117 in subroutine LL145 (Part 4 of 4)

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Configuration variable: OSWRCH = &FFEE

The address for the OSWRCH routine

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Subroutine PLANET (category: Drawing planets)

Draw the planet or sun

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Subroutine PROJ (category: Drawing ships)

Project the current ship onto the screen

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Subroutine RDKEY (category: Keyboard)

Scan the keyboard for key presses by sending an OSWORD 240 command to the I/O processor

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Subroutine SHPPT (category: Drawing ships)

Draw a distant ship as a point rather than a full wireframe

[X]

Temporary storage, used to store the address of a ship blueprint. For example, it is used when we add a new ship to the local bubble in routine NWSHP, and it contains the address of the current ship's blueprint as we loop through all the nearby ships in the main flight loop

[X]

Workspace XX3 (category: Workspaces)

Temporary storage space for complex calculations

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Configuration variable: Y = 96

The centre y-coordinate of the 256 x 192 space view

[X]

Variable antilog (category: Maths (Arithmetic))

Binary antilogarithm table

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Variable antilogODD (category: Maths (Arithmetic))

Binary antilogarithm table

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Label ll81 in subroutine LL9 (Part 11 of 12)

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Label ll91 in subroutine LL9 (Part 3 of 12)

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Variable log (category: Maths (Arithmetic))

Binary logarithm table (high byte)

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Variable logL (category: Maths (Arithmetic))

Binary logarithm table (low byte)

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Label nolines in subroutine LL9 (Part 12 of 12)

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Label noswap in subroutine LL145 (Part 1 of 4)

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Label notneed in subroutine LL9 (Part 12 of 12)

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Label ovflw in subroutine LL9 (Part 5 of 12)

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Variable shpcol (category: Drawing ships)

Ship colours