Friday, 29 May 2009

Machine Coding 102 (Sequential User-Defined Sound)

QUDS


Quds is a development of Uds. Like its predecessor it uses 8-bit values as wavelengths to create sound. The Q in Quds is for seQuential. Unlike its predecessor, the sound it plays will, within a margin of drift, be the same length in time no matter the data being read, so it can be used as the basis of a sound sequencer.


Where Uds finds a zero, it will halt. If Quds finds a zero it will return to the beginning of the data and keep going. So when does it stop? Two variables, initially one a copy of the other, are used to determine duration; Total and Current Total. A typical value for these would be 24*256. This is the sum total of the wavelengths put through the Quds sound engine before it terminates.


There are two benefits from using Quds instead of Uds. Firstly is the independently-determined duration and secondly, it does not have to rely on large samples of data to sculpt sound. In fact it does not need any devoted Udata information. Quds can be pointed at any part of memory and interesting sound will emerge. However, WARNING! Remember that where Quds finds a zero it will loop. So if the FIRST piece of data is zero, then it will loop indefinitely as it subtracts nothing from the duration limit.


So firstly, here is the Z80 assembly code and its opcodes in decimal. Preceding the routine are the two variables Total and Current total. They are referred to in the routine by their low and high-order byte addresses as totL, totH, curtL and curtH. The address for qudata (the address of the sound data) is inserted at quds+1 (low-order byte) and quds+2 (high-order byte). At quds+10 is something called stretch with a default of 1, its shortest value. Increasing this number (POKE quds+10, 4 for instance) will stretch the sound, but will also increase the inaccuracies in the timing. Another variable hidden in the routine is at quds+72. It has a default of 5 for tuning balance but it could be adjusted for serious detuning of the sound. If you are not interested in assembly, don't worry about this listing, further below is the BASIC code for compiling the routine, creating a sound and a way of triggering it.


Total : 0 24

Current total: 0 24


Quds: LD HL, udata 33 qudataL qudataH

XOR A 175

LD A, (HL) 126

OR 0 246 0

JRZ -9 40 247


LD BC, stretch 1 1 0

PUSH BC 197

LD B, 0 6 0

LD C, (HL) 78


PUSH HL 229

LD HL, (current total) 237 107 curtL curtH

SBC HL, BC 237 66

JPP quds+57 242 targL targH


LD A, L 125

NEG 237 68

LD B, 0 6 0

LD C, A 79

PUSH BC 197


LD BC, 9 1 9 0

DEC BC 11

LD A, C 121

OR B 176

JRNZ -5 32 251


POP BC 193

DEC BC 11

LD A, C 121

OR B 176

JRNZ -15 32 241


LD HL, (total) 237 107 totL totH

LD (current total), HL 34 curtL curtH

POP HL 225

POP BC 193

RET 201


LD (current total), HL 34 curtL curtH

POP HL 225


PUSH BC 197

LD A, 16 62 16

OUT (254), A 211 254

DEC BC 11

LD A, C 121

OR B 176

JRNZ -5 32 251


LD BC, 5 1 5 0

DEC BC 11

LD A, C 121

OR B 176

JRNZ -5 32 251


LD A, 7 62 7

OUT (254), A 211 254

POP BC 193

DEC BC 11

LD A, C 121

OR B 176

JRNZ -5 32 251


POP BC 193

DEC BC 11

LD A, C 121

OR B 176

JRNZ -83 32 173


INC HL 35


JR -95 24 161


BASIC Compiler of Quds


10 LET quds = 32772

20 LET qudata = quds + 256

30 LET qudataH = INT (qudata / 256)

40 LET qudataL = qudata - (qudataH * 256)

50 LET target = quds + 57

60 LET targH = INT (target / 256)

70 LET targL = target - (targH * 256)

80 LET tot = quds - 4

90 LET totH = INT (totH / 256)

100 LET totL = tot - (totH * 256)

110 LET curt = quds - 2

120 LET curtH = INT (curt / 256)

130 LET curtL = curt - (curt * 256)

140 LET a = quds - 4

150 RESTORE 220

160 READ x

170 IF x = -1 THEN GOTO 500

180 POKE a, x

190 LET a = a + 1

200 GOTO 150

210 REM ____Variables

220 DATA 0, 24, 0, 24

230 REM ____Quds

240 DATA 33, qudataL, qudataH

250 DATA 175, 126, 246, 0, 40, 247

260 DATA 1, 1, 0, 197

270 DATA 6, 0, 78

280 DATA 229

290 DATA 237, 107, curtL, curtH

300 DATA 237, 66

310 DATA 242, targL, targH

320 DATA 125, 237, 68, 6, 0, 79, 197

330 DATA 1, 9, 0, 11, 121, 176, 32, 251

340 DATA 193, 11, 121, 176, 32, 241

350 DATA 237, 107, totL, totH

360 DATA 34, curtL, curtH

370 DATA 225, 193, 201

380 DATA 34, curtL, curtH

390 DATA 225

400 DATA 197

410 DATA 62, 16, 211, 254

420 DATA 11, 121, 176, 32, 251

430 DATA 1, 5, 0, 11, 121, 176, 32, 251

440 DATA 62, 7, 211, 254

450 DATA 193, 11, 121, 176, 32, 251

460 DATA 193, 11, 121, 176, 32, 173

470 DATA 35

480 DATA 24, 161

490 DATA -1

500 REM _______Sound Generator

510 RESTORE 580

520 LET a = qudata

530 READ x

540 IF x = -1 THEN POKE a, 0: GOTO 640

550 POKE a, x

560 LET a = a + 1

570 GOTO 530

580 DATA 1, 2, 3, 4, 5, 6, 7, 8, 9

590 DATA 32, 34, 32, 30, 64

600 DATA 32, 34, 32, 30, 60

610 DATA 32, 34, 32, 30, 64

620 DATA 32, 34, 32, 30, 68

630 DATA -1

640 REM _______Sound Trigger

650 FOR m = 5 TO 45 STEP 10

660 POKE quds + 72, m

670 FOR n = 1 TO 4

680 POKE quds + 10, n

690 RANDOMIZE USR quds

700 NEXT n

710 NEXT m

720 GOTO 650



Sound Generation (lines 500 to 630)

This is where a demonstration sound is created by reading the data values held in lines 580 to 620 and poking them into memory at the address previously defined as qudata at line 20. This method of shaping the sound, wavelength by wavelength, is the most detailed and it is usual to instead use an equation for drum sounds, but the method shown hear is the most transparent. Experimenting by changing the values held after DATA will give a better understanding of how the whole routine works. It doesn't matter how many or how few values you choose to put here as long as there is at least one and the data has -1 at the end. Notice also that when the sound is triggered, you can actually see the wavelengths in the border region of the screen. This is because port 254 on the ZX Spectrum is connected to both to the sound output and the border. 


Sound Triggering (lines 640 to 720)

Here the code is demonstrating the use of the two variables of detune (quds+72) and stretch (quds+10), but the sound needs only to be triggered by RANDOMIZE USR quds.

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