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Commit | Line | Data |
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1 | /* | |
2 | * MandelFPGA | |
3 | * by Joshua Wise and Chris Lu | |
4 | * | |
5 | * An implementation of a pipelined algorithm to calculate the Mandelbrot set | |
6 | * in real time on an FPGA. | |
7 | */ | |
8 | ||
9 | `define XRES 640 | |
10 | `define YRES 480 | |
11 | `define WHIRRRRR 27 | |
12 | ||
13 | module SyncGen( | |
14 | input pixclk, | |
15 | output reg vs, hs, | |
16 | output reg [11:0] xout = `WHIRRRRR, yout = 0, | |
17 | output wire [11:0] xoutreal, youtreal, | |
18 | output reg border); | |
19 | ||
20 | reg [11:0] x = 0, y = 0; // Used for generating border and timing. | |
21 | assign xoutreal = x; | |
22 | assign youtreal = y; | |
23 | ||
24 | parameter XFPORCH = 16; | |
25 | parameter XSYNC = 96; | |
26 | parameter XBPORCH = 48; | |
27 | ||
28 | parameter YFPORCH = 10; | |
29 | parameter YSYNC = 2; | |
30 | parameter YBPORCH = 29; | |
31 | ||
32 | always @(posedge pixclk) | |
33 | begin | |
34 | if (x >= (`XRES + XFPORCH + XSYNC + XBPORCH)) | |
35 | begin | |
36 | if (y >= (`YRES + YFPORCH + YSYNC + YBPORCH)) | |
37 | y <= 0; | |
38 | else | |
39 | y <= y + 1; | |
40 | x <= 0; | |
41 | end else | |
42 | x <= x + 1; | |
43 | ||
44 | if (xout >= (`XRES + XFPORCH + XSYNC + XBPORCH)) | |
45 | begin | |
46 | if (yout >= (`YRES + YFPORCH + YSYNC + YBPORCH)) | |
47 | yout <= 0; | |
48 | else | |
49 | yout <= yout + 1; | |
50 | xout <= 0; | |
51 | end else | |
52 | xout <= xout + 1; | |
53 | hs <= (x >= (`XRES + XFPORCH)) && (x < (`XRES + XFPORCH + XSYNC)); | |
54 | vs <= (y >= (`YRES + YFPORCH)) && (y < (`YRES + YFPORCH + YSYNC)); | |
55 | border <= (x > `XRES) || (y > `YRES); | |
56 | end | |
57 | endmodule | |
58 | ||
59 | // bits: 1.12 | |
60 | ||
61 | module NaiveMultiplier( | |
62 | input clk, | |
63 | input [12:0] x, y, | |
64 | input xsign, ysign, | |
65 | output reg [12:0] out, | |
66 | output reg sign, | |
67 | output reg ovf); | |
68 | ||
69 | always @(posedge clk) | |
70 | begin | |
71 | {ovf,out} <= | |
72 | (((y[12] ? (x ) : 0) + | |
73 | (y[11] ? (x >> 1) : 0) + | |
74 | (y[10] ? (x >> 2) : 0)) + | |
75 | (((y[9] ? (x >> 3) : 0) + | |
76 | (y[8] ? (x >> 4) : 0))+ | |
77 | ((y[7] ? (x >> 5) : 0) + | |
78 | (y[6] ? (x >> 6) : 0))))+ | |
79 | ||
80 | (((y[5] ? (x >> 7) : 0) + | |
81 | (y[4] ? (x >> 8) : 0)+ | |
82 | (y[3] ? (x >> 9) : 0)) + | |
83 | ((y[2] ? (x >> 10): 0) + | |
84 | (y[1] ? (x >> 11): 0) + | |
85 | (y[0] ? (x >> 12): 0))); | |
86 | sign <= xsign ^ ysign; | |
87 | end | |
88 | ||
89 | endmodule | |
90 | ||
91 | module Multiplier( | |
92 | input clk, | |
93 | input [12:0] x, y, | |
94 | input xsign, ysign, | |
95 | output wire [12:0] out, | |
96 | output wire sign, | |
97 | output wire overflow); | |
98 | ||
99 | NaiveMultiplier nm(clk, x, y, xsign, ysign, out, sign, overflow); | |
100 | ||
101 | endmodule | |
102 | ||
103 | // Yuq. | |
104 | module MandelUnit( | |
105 | input clk, | |
106 | input [12:0] x, y, | |
107 | input xsign, ysign, | |
108 | input [14:0] r, i, | |
109 | input rsign, isign, | |
110 | input [7:0] ibail, icuriter, | |
111 | output reg [12:0] xout, yout, | |
112 | output reg xsout, ysout, | |
113 | output reg [14:0] rout, iout, | |
114 | output reg rsout, isout, | |
115 | output reg [7:0] obail, ocuriter); | |
116 | ||
117 | wire [13:0] r2, i2; | |
118 | wire [14:0] ri, diff; | |
119 | wire [15:0] twocdiff; | |
120 | wire r2sign, i2sign, risign, dsign; | |
121 | wire [13:0] bigsum; | |
122 | wire bigsum_ovf; | |
123 | ||
124 | reg [12:0] xd, yd; | |
125 | reg ineedbaild; | |
126 | reg xsd, ysd; | |
127 | reg [7:0] ibaild, curiterd; | |
128 | ||
129 | assign ri[0] = 0; | |
130 | ||
131 | Multiplier r2m(clk, r[12:0], r[12:0], rsign, rsign, r2[12:0], r2sign, r2[13]); | |
132 | Multiplier i2m(clk, i[12:0], i[12:0], isign, isign, i2[12:0], i2sign, i2[13]); | |
133 | Multiplier rim(clk, r[12:0], i[12:0], rsign, isign, ri[13:1], risign, ri[14]); | |
134 | ||
135 | assign bigsum = r2[12:0] + i2[12:0]; | |
136 | assign bigsum_ovf = bigsum[13] | r2[13] | i2[13]; | |
137 | ||
138 | assign twocdiff = r2 - i2; | |
139 | assign diff = twocdiff[15] ? -twocdiff : twocdiff; | |
140 | assign dsign = twocdiff[15]; | |
141 | ||
142 | wire [15:0] twocrout = xd - diff; | |
143 | wire [15:0] twociout = yd - ri; | |
144 | ||
145 | always @ (posedge clk) | |
146 | begin | |
147 | xd <= x; | |
148 | yd <= y; | |
149 | xsd <= xsign; | |
150 | ysd <= ysign; | |
151 | xout <= xd; | |
152 | yout <= yd; | |
153 | xsout <= xsd; | |
154 | ysout <= ysd; | |
155 | ibaild <= ibail; | |
156 | curiterd <= icuriter; | |
157 | ineedbaild <= r[13] | r[14] | i[13] | i[14]; | |
158 | ||
159 | // r^2 - i^2 + x | |
160 | if (xsd ^ dsign) begin | |
161 | if (twocrout[15]) begin // diff > xd | |
162 | rout <= -twocrout; | |
163 | rsout <= dsign; | |
164 | end else begin | |
165 | rout <= twocrout; | |
166 | rsout <= xsd; | |
167 | end | |
168 | end else begin | |
169 | rout <= diff + xd; | |
170 | rsout <= xsd; // xsd == dsign | |
171 | end | |
172 | ||
173 | // 2 * r * i + y | |
174 | if (ysd ^ risign) begin | |
175 | if (twociout[15]) begin // ri > yd | |
176 | iout <= -twociout; | |
177 | isout <= risign; | |
178 | end else begin | |
179 | iout <= twociout; | |
180 | isout <= ysd; | |
181 | end | |
182 | end else begin | |
183 | iout <= ri + yd; | |
184 | isout <= ysd; | |
185 | end | |
186 | ||
187 | // If we haven't bailed out, and we meet any of the bailout conditions, | |
188 | // bail out now. Otherwise, leave the bailout at whatever it was before. | |
189 | if ((ibaild == 255) && (bigsum_ovf | ineedbaild)) | |
190 | obail <= curiterd; | |
191 | else | |
192 | obail <= ibaild; | |
193 | ocuriter <= curiterd + 8'b1; | |
194 | end | |
195 | ||
196 | endmodule | |
197 | ||
198 | module Mandelbrot( | |
199 | input mclk, | |
200 | input pixclk, | |
201 | input [11:0] x, y, | |
202 | input [13:0] xofs, yofs, | |
203 | input [7:0] colorofs, | |
204 | input [2:0] scale, | |
205 | output reg [2:0] red, green, output reg [1:0] blue); | |
206 | ||
207 | `define MAXOUTN 11 | |
208 | ||
209 | wire [12:0] rx, ry; | |
210 | wire [13:0] nx, ny; | |
211 | wire rxsign, rysign; | |
212 | ||
213 | assign nx = x + xofs; | |
214 | assign ny = y + yofs; | |
215 | assign rx = (nx[13] ? -nx[12:0] : nx[12:0]) << scale; | |
216 | assign rxsign = nx[13]; | |
217 | assign ry = (ny[13] ? -ny[12:0] : ny[12:0]) << scale; | |
218 | assign rysign = ny[13]; | |
219 | ||
220 | wire [14:0] mr[`MAXOUTN:0], mi[`MAXOUTN:0]; | |
221 | wire mrs[`MAXOUTN:0], mis[`MAXOUTN:0]; | |
222 | wire [7:0] mb[`MAXOUTN:0]; | |
223 | wire [12:0] xprop[`MAXOUTN:0], yprop[`MAXOUTN:0]; | |
224 | wire xsprop[`MAXOUTN:0], ysprop[`MAXOUTN:0]; | |
225 | wire [7:0] curiter[`MAXOUTN:0]; | |
226 | ||
227 | reg [14:0] initx, inity, initr, initi; | |
228 | reg [7:0] initci, initb; | |
229 | reg initxs, initys, initrs, initis; | |
230 | ||
231 | // Values after the number of iterations denoted by the subscript. | |
232 | reg [14:0] stagex [2:1], stagey [2:1], stager [2:1], stagei [2:1]; | |
233 | reg [7:0] stageci [2:1], stageb [2:1]; | |
234 | reg stagexs [2:1], stageys [2:1], stagers [2:1], stageis [2:1]; | |
235 | ||
236 | reg [2:0] state = 3'b001; // One-hot encoded state. | |
237 | ||
238 | // States are advanced one from what they should be, so that they'll | |
239 | // get there on the _next_ mclk. | |
240 | always @(posedge mclk) | |
241 | begin | |
242 | initx <= (state[2]) ? rx : | |
243 | (state[0]) ? stagex[1] : | |
244 | (state[1]) ? stagex[2] : 0; | |
245 | inity <= (state[2]) ? ry : | |
246 | (state[0]) ? stagey[1] : | |
247 | (state[1]) ? stagey[2] : 0; | |
248 | initr <= (state[2]) ? rx : | |
249 | (state[0]) ? stager[1] : | |
250 | (state[1]) ? stager[2] : 0; | |
251 | initi <= (state[2]) ? ry : | |
252 | (state[0]) ? stagei[1] : | |
253 | (state[1]) ? stagei[2] : 0; | |
254 | initxs <= (state[2]) ? rxsign : | |
255 | (state[0]) ? stagexs[1] : | |
256 | (state[1]) ? stagexs[2] : 0; | |
257 | initys <= (state[2]) ? rysign : | |
258 | (state[0]) ? stageys[1] : | |
259 | (state[1]) ? stageys[2] : 0; | |
260 | initrs <= (state[2]) ? rxsign : | |
261 | (state[0]) ? stagers[1] : | |
262 | (state[1]) ? stagers[2] : 0; | |
263 | initis <= (state[2]) ? rysign : | |
264 | (state[0]) ? stageis[1] : | |
265 | (state[1]) ? stageis[2] : 0; | |
266 | initb <= (state[2]) ? 8'b11111111 : | |
267 | (state[0]) ? stageb[1] : | |
268 | (state[1]) ? stageb[2] : 0; | |
269 | initci <= (state[2]) ? 8'b00000000 : | |
270 | (state[0]) ? stageci[1] : | |
271 | (state[1]) ? stageci[2] : 0; | |
272 | end | |
273 | ||
274 | reg [7:0] out; | |
275 | ||
276 | // We detect when the state should be poked by a high negedge followed | |
277 | // by a high posedge -- if that happens, then we're guaranteed that the | |
278 | // state following the current state will be 3'b100. | |
279 | reg lastneg; | |
280 | always @(negedge mclk) | |
281 | lastneg <= pixclk; | |
282 | ||
283 | always @(posedge mclk) | |
284 | begin | |
285 | if (lastneg && pixclk) // If a pixclk has happened, the state should be reset. | |
286 | state <= 3'b100; | |
287 | else // Otherwise, just poke it forward. | |
288 | case(state) | |
289 | 3'b001: state <= 3'b010; | |
290 | 3'b010: state <= 3'b100; | |
291 | 3'b100: state <= 3'b001; | |
292 | endcase | |
293 | ||
294 | // Data output handling | |
295 | if (state[0]) begin | |
296 | {red, green, blue} <= {out[0],out[3],out[6],out[1],out[4],out[7],out[2],out[5]}; | |
297 | end | |
298 | if (state[1]) begin | |
299 | out <= ~mb[`MAXOUTN] + colorofs; | |
300 | end | |
301 | ||
302 | if (state[0]) begin // PnR0 in, PnR2 out | |
303 | stagex[2] <= xprop[`MAXOUTN]; | |
304 | stagey[2] <= yprop[`MAXOUTN]; | |
305 | stager[2] <= mr[`MAXOUTN]; | |
306 | stagei[2] <= mi[`MAXOUTN]; | |
307 | stagexs[2] <= xsprop[`MAXOUTN]; | |
308 | stageys[2] <= ysprop[`MAXOUTN]; | |
309 | stagers[2] <= mrs[`MAXOUTN]; | |
310 | stageis[2] <= mis[`MAXOUTN]; | |
311 | stageb[2] <= mb[`MAXOUTN]; | |
312 | stageci[2] <= curiter[`MAXOUTN]; | |
313 | end | |
314 | ||
315 | if (state[2]) begin // PnR2 in, PnR1 out | |
316 | stagex[1] <= xprop[`MAXOUTN]; | |
317 | stagey[1] <= yprop[`MAXOUTN]; | |
318 | stager[1] <= mr[`MAXOUTN]; | |
319 | stagei[1] <= mi[`MAXOUTN]; | |
320 | stagexs[1] <= xsprop[`MAXOUTN]; | |
321 | stageys[1] <= ysprop[`MAXOUTN]; | |
322 | stagers[1] <= mrs[`MAXOUTN]; | |
323 | stageis[1] <= mis[`MAXOUTN]; | |
324 | stageb[1] <= mb[`MAXOUTN]; | |
325 | stageci[1] <= curiter[`MAXOUTN]; | |
326 | end | |
327 | end | |
328 | ||
329 | MandelUnit mu0( | |
330 | mclk, | |
331 | initx, inity, initxs, initys, | |
332 | initr, initi, initrs, initis, | |
333 | initb, initci, | |
334 | xprop[0], yprop[0], xsprop[0], ysprop[0], | |
335 | mr[0], mi[0], mrs[0], mis[0], | |
336 | mb[0], curiter[0]); | |
337 | ||
338 | MandelUnit mu1(mclk, | |
339 | xprop[0], yprop[0], xsprop[0], ysprop[0], mr[0], mi[0], mrs[0], mis[0], mb[0], curiter[0], | |
340 | xprop[1], yprop[1], xsprop[1], ysprop[1], mr[1], mi[1], mrs[1], mis[1], mb[1], curiter[1]); | |
341 | MandelUnit mu2(mclk, | |
342 | xprop[1], yprop[1], xsprop[1], ysprop[1], mr[1], mi[1], mrs[1], mis[1], mb[1], curiter[1], | |
343 | xprop[2], yprop[2], xsprop[2], ysprop[2], mr[2], mi[2], mrs[2], mis[2], mb[2], curiter[2]); | |
344 | MandelUnit mu3(mclk, | |
345 | xprop[2], yprop[2], xsprop[2], ysprop[2], mr[2], mi[2], mrs[2], mis[2], mb[2], curiter[2], | |
346 | xprop[3], yprop[3], xsprop[3], ysprop[3], mr[3], mi[3], mrs[3], mis[3], mb[3], curiter[3]); | |
347 | MandelUnit mu4(mclk, | |
348 | xprop[3], yprop[3], xsprop[3], ysprop[3], mr[3], mi[3], mrs[3], mis[3], mb[3], curiter[3], | |
349 | xprop[4], yprop[4], xsprop[4], ysprop[4], mr[4], mi[4], mrs[4], mis[4], mb[4], curiter[4]); | |
350 | MandelUnit mu5(mclk, | |
351 | xprop[4], yprop[4], xsprop[4], ysprop[4], mr[4], mi[4], mrs[4], mis[4], mb[4], curiter[4], | |
352 | xprop[5], yprop[5], xsprop[5], ysprop[5], mr[5], mi[5], mrs[5], mis[5], mb[5], curiter[5]); | |
353 | MandelUnit mu6(mclk, | |
354 | xprop[5], yprop[5], xsprop[5], ysprop[5], mr[5], mi[5], mrs[5], mis[5], mb[5], curiter[5], | |
355 | xprop[6], yprop[6], xsprop[6], ysprop[6], mr[6], mi[6], mrs[6], mis[6], mb[6], curiter[6]); | |
356 | MandelUnit mu7(mclk, | |
357 | xprop[6], yprop[6], xsprop[6], ysprop[6], mr[6], mi[6], mrs[6], mis[6], mb[6], curiter[6], | |
358 | xprop[7], yprop[7], xsprop[7], ysprop[7], mr[7], mi[7], mrs[7], mis[7], mb[7], curiter[7]); | |
359 | MandelUnit mu8(mclk, | |
360 | xprop[7], yprop[7], xsprop[7], ysprop[7], mr[7], mi[7], mrs[7], mis[7], mb[7], curiter[7], | |
361 | xprop[8], yprop[8], xsprop[8], ysprop[8], mr[8], mi[8], mrs[8], mis[8], mb[8], curiter[8]); | |
362 | MandelUnit mu9(mclk, | |
363 | xprop[8], yprop[8], xsprop[8], ysprop[8], mr[8], mi[8], mrs[8], mis[8], mb[8], curiter[8], | |
364 | xprop[9], yprop[9], xsprop[9], ysprop[9], mr[9], mi[9], mrs[9], mis[9], mb[9], curiter[9]); | |
365 | MandelUnit mua(mclk, | |
366 | xprop[9], yprop[9], xsprop[9], ysprop[9], mr[9], mi[9], mrs[9], mis[9], mb[9], curiter[9], | |
367 | xprop[10], yprop[10], xsprop[10], ysprop[10], mr[10], mi[10], mrs[10], mis[10], mb[10], curiter[10]); | |
368 | MandelUnit mub(mclk, | |
369 | xprop[10], yprop[10], xsprop[10], ysprop[10], mr[10], mi[10], mrs[10], mis[10], mb[10], curiter[10], | |
370 | xprop[11], yprop[11], xsprop[11], ysprop[11], mr[11], mi[11], mrs[11], mis[11], mb[11], curiter[11]); | |
371 | ||
372 | endmodule | |
373 | ||
374 | module Logo( | |
375 | input pixclk, | |
376 | input [11:0] x, y, | |
377 | output wire enb, | |
378 | output wire [2:0] red, green, output wire [1:0] blue); | |
379 | ||
380 | reg [1:0] logo[8191:0]; | |
381 | initial $readmemb("logo.readmemb", logo); | |
382 | ||
383 | assign enb = (x < 96) && (y < 64); | |
384 | wire [12:0] addr = {y[5:0], x[6:0]}; | |
385 | wire [1:0] data = logo[addr]; | |
386 | assign {red, green, blue} = | |
387 | (data == 2'b00) ? 8'b00000000 : | |
388 | ((data == 2'b01) ? 8'b00011100 : | |
389 | ((data == 2'b10) ? 8'b11100000 : | |
390 | 8'b11111111)); | |
391 | endmodule | |
392 | ||
393 | module MandelTop( | |
394 | input gclk, output wire dcmok, | |
395 | output wire vs, hs, | |
396 | output wire [2:0] red, green, output [1:0] blue, | |
397 | input left, right, up, down, rst, cycle, logooff, | |
398 | input [2:0] scale); | |
399 | ||
400 | ||
401 | wire pixclk, mclk, gclk2, clk; | |
402 | wire dcm1ok, dcm2ok; | |
403 | assign dcmok = dcm1ok && dcm2ok; | |
404 | ||
405 | IBUFG typeA(.O(clk), .I(gclk)); | |
406 | ||
407 | pixDCM dcm( // CLKIN is 50MHz xtal, CLKFX_OUT is 25MHz | |
408 | .CLKIN_IN(clk), | |
409 | .CLKFX_OUT(pixclk), | |
410 | .LOCKED_OUT(dcm1ok) | |
411 | ); | |
412 | ||
413 | mandelDCM dcm2( | |
414 | .CLKIN_IN(clk), | |
415 | .CLKFX_OUT(mclk), | |
416 | .LOCKED_OUT(dcm2ok) | |
417 | ); | |
418 | ||
419 | wire border; | |
420 | wire [11:0] x, y; | |
421 | reg [13:0] xofs = -`XRES/2, yofs = -`YRES/2; | |
422 | reg [5:0] slowctr = 0; | |
423 | reg [7:0] colorcycle = 0; | |
424 | wire [11:0] realx, realy; | |
425 | ||
426 | wire logoenb; | |
427 | wire [2:0] mandelr, mandelg, logor, logog; | |
428 | wire [1:0] mandelb, logob; | |
429 | ||
430 | SyncGen sync(pixclk, vs, hs, x, y, realx, realy, border); | |
431 | Mandelbrot mandel(mclk, pixclk, x, y, xofs, yofs, cycle ? colorcycle : 0, scale, mandelr, mandelg, mandelb); | |
432 | Logo logo(pixclk, realx, realy, logoenb, logor, logog, logob); | |
433 | ||
434 | assign {red,green,blue} = | |
435 | border ? 8'b00000000 : | |
436 | (!logooff && logoenb) ? {logor, logog, logob} : {mandelr, mandelg, mandelb}; | |
437 | ||
438 | always @(posedge vs) | |
439 | begin | |
440 | if (rst) | |
441 | begin | |
442 | xofs <= -`XRES/2; | |
443 | yofs <= -`YRES/2; | |
444 | colorcycle <= 0; | |
445 | end else begin | |
446 | if (up) yofs <= yofs + 1; | |
447 | else if (down) yofs <= yofs - 1; | |
448 | ||
449 | if (left) xofs <= xofs + 1; | |
450 | else if (right) xofs <= xofs - 1; | |
451 | ||
452 | if (slowctr == 0) | |
453 | colorcycle <= colorcycle + 1; | |
454 | end | |
455 | ||
456 | if (slowctr == 12) | |
457 | slowctr <= 0; | |
458 | else | |
459 | slowctr <= slowctr + 1; | |
460 | end | |
461 | endmodule |