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Commit | Line | Data |
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cf1ae842 | 1 | /* |
05c0805b JW |
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 | |
281eac32 | 11 | `define WHIRRRRR 27 |
05c0805b JW |
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, | |
fb8d158b | 67 | output reg ovf); |
05c0805b JW |
68 | |
69 | always @(posedge clk) | |
70 | begin | |
71 | {ovf,out} <= | |
72 | (((y[12] ? (x ) : 0) + | |
73 | (y[11] ? (x >> 1) : 0) + | |
fb8d158b JW |
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 | ||
05c0805b | 80 | (((y[5] ? (x >> 7) : 0) + |
fb8d158b | 81 | (y[4] ? (x >> 8) : 0)+ |
05c0805b | 82 | (y[3] ? (x >> 9) : 0)) + |
fb8d158b | 83 | ((y[2] ? (x >> 10): 0) + |
05c0805b JW |
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, | |
92e851e1 | 93 | input [12:0] x, y, |
05c0805b | 94 | input xsign, ysign, |
92e851e1 | 95 | output wire [12:0] out, |
05c0805b | 96 | output wire sign, |
fb8d158b | 97 | output wire overflow); |
05c0805b JW |
98 | |
99 | NaiveMultiplier nm(clk, x, y, xsign, ysign, out, sign, overflow); | |
100 | ||
101 | endmodule | |
102 | ||
fb8d158b | 103 | // Yuq. |
05c0805b JW |
104 | module MandelUnit( |
105 | input clk, | |
106 | input [12:0] x, y, | |
107 | input xsign, ysign, | |
92e851e1 | 108 | input [14:0] r, i, |
05c0805b JW |
109 | input rsign, isign, |
110 | input [7:0] ibail, icuriter, | |
111 | output reg [12:0] xout, yout, | |
112 | output reg xsout, ysout, | |
92e851e1 | 113 | output reg [14:0] rout, iout, |
05c0805b JW |
114 | output reg rsout, isout, |
115 | output reg [7:0] obail, ocuriter); | |
116 | ||
6cdf39e2 JW |
117 | wire [13:0] r2, i2; |
118 | wire [14:0] ri, diff; | |
9032b2b5 | 119 | wire [15:0] twocdiff; |
05c0805b | 120 | wire r2sign, i2sign, risign, dsign; |
6cdf39e2 JW |
121 | wire [13:0] bigsum; |
122 | wire bigsum_ovf; | |
05c0805b JW |
123 | |
124 | reg [12:0] xd, yd; | |
2afeab21 | 125 | reg ineedbaild; |
05c0805b JW |
126 | reg xsd, ysd; |
127 | reg [7:0] ibaild, curiterd; | |
128 | ||
129 | assign ri[0] = 0; | |
130 | ||
a3a4354b JW |
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]); | |
05c0805b | 134 | |
6cdf39e2 JW |
135 | assign bigsum = r2[12:0] + i2[12:0]; |
136 | assign bigsum_ovf = bigsum[13] | r2[13] | i2[13]; | |
2afeab21 | 137 | |
9032b2b5 JW |
138 | assign twocdiff = r2 - i2; |
139 | assign diff = twocdiff[15] ? -twocdiff : twocdiff; | |
140 | assign dsign = twocdiff[15]; | |
2afeab21 JW |
141 | |
142 | wire [15:0] twocrout = xd - diff; | |
143 | wire [15:0] twociout = yd - ri; | |
05c0805b JW |
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; | |
2afeab21 | 157 | ineedbaild <= r[13] | r[14] | i[13] | i[14]; |
05c0805b | 158 | |
2afeab21 | 159 | // r^2 - i^2 + x |
05c0805b | 160 | if (xsd ^ dsign) begin |
2afeab21 JW |
161 | if (twocrout[15]) begin // diff > xd |
162 | rout <= -twocrout; | |
05c0805b JW |
163 | rsout <= dsign; |
164 | end else begin | |
2afeab21 | 165 | rout <= twocrout; |
05c0805b JW |
166 | rsout <= xsd; |
167 | end | |
168 | end else begin | |
169 | rout <= diff + xd; | |
2afeab21 | 170 | rsout <= xsd; // xsd == dsign |
05c0805b JW |
171 | end |
172 | ||
2afeab21 | 173 | // 2 * r * i + y |
05c0805b | 174 | if (ysd ^ risign) begin |
2afeab21 JW |
175 | if (twociout[15]) begin // ri > yd |
176 | iout <= -twociout; | |
05c0805b JW |
177 | isout <= risign; |
178 | end else begin | |
2afeab21 | 179 | iout <= twociout; |
05c0805b JW |
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. | |
2afeab21 | 189 | if ((ibaild == 255) && (bigsum_ovf | ineedbaild)) |
05c0805b JW |
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, | |
92e851e1 | 202 | input [13:0] xofs, yofs, |
05c0805b JW |
203 | input [7:0] colorofs, |
204 | input [2:0] scale, | |
205 | output reg [2:0] red, green, output reg [1:0] blue); | |
281eac32 | 206 | |
534b3903 | 207 | `define MAXOUTN 11 |
05c0805b JW |
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]; | |
05c0805b | 219 | |
281eac32 JW |
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]; | |
05c0805b | 226 | |
79af494a JW |
227 | reg [14:0] initx, inity, initr, initi; |
228 | reg [7:0] initci, initb; | |
229 | reg initxs, initys, initrs, initis; | |
05c0805b | 230 | |
534b3903 JW |
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]; | |
05c0805b | 235 | |
534b3903 | 236 | reg [2:0] state = 3'b001; // One-hot encoded state. |
05c0805b | 237 | |
79af494a JW |
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 | |
05c0805b JW |
273 | |
274 | reg [7:0] out; | |
251788d8 JW |
275 | |
276 | // We detect when the state should be poked by a high negedge followed | |
fb8d158b JW |
277 | // by a high posedge -- if that happens, then we're guaranteed that the |
278 | // state following the current state will be 3'b100. | |
251788d8 | 279 | reg lastneg; |
265061f2 | 280 | always @(negedge mclk) |
251788d8 | 281 | lastneg <= pixclk; |
05c0805b JW |
282 | |
283 | always @(posedge mclk) | |
284 | begin | |
251788d8 JW |
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. | |
a3a4354b JW |
288 | case(state) |
289 | 3'b001: state <= 3'b010; | |
290 | 3'b010: state <= 3'b100; | |
291 | 3'b100: state <= 3'b001; | |
292 | endcase | |
251788d8 | 293 | |
534b3903 JW |
294 | // Data output handling |
295 | if (state[0]) begin | |
05c0805b | 296 | {red, green, blue} <= {out[0],out[3],out[6],out[1],out[4],out[7],out[2],out[5]}; |
05c0805b | 297 | end |
3068fa61 | 298 | if (state[1]) begin |
534b3903 JW |
299 | out <= ~mb[`MAXOUTN] + colorofs; |
300 | end | |
301 | ||
3068fa61 | 302 | if (state[0]) begin // PnR0 in, PnR2 out |
534b3903 JW |
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 | ||
3068fa61 | 315 | if (state[2]) begin // PnR2 in, PnR1 out |
534b3903 JW |
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 | |
05c0805b JW |
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]); | |
e03ccef9 JW |
337 | |
338 | `define MAKE_UNIT(name, num) \ | |
339 | MandelUnit name(mclk, \ | |
340 | xprop[(num)], yprop[(num)], xsprop[(num)], ysprop[(num)], mr[(num)], mi[(num)], mrs[(num)], mis[(num)], mb[(num)], curiter[(num)], \ | |
341 | xprop[(num)+1], yprop[(num)+1], xsprop[(num)+1], ysprop[(num)+1], mr[(num)+1], mi[(num)+1], mrs[(num)+1], mis[(num)+1], mb[(num)+1], curiter[(num)+1]) | |
05c0805b | 342 | |
e03ccef9 JW |
343 | `MAKE_UNIT(mu1, 0); |
344 | `MAKE_UNIT(mu2, 1); | |
345 | `MAKE_UNIT(mu3, 2); | |
346 | `MAKE_UNIT(mu4, 3); | |
347 | `MAKE_UNIT(mu5, 4); | |
348 | `MAKE_UNIT(mu6, 5); | |
349 | `MAKE_UNIT(mu7, 6); | |
350 | `MAKE_UNIT(mu8, 7); | |
351 | `MAKE_UNIT(mu9, 8); | |
352 | `MAKE_UNIT(mua, 9); | |
353 | `MAKE_UNIT(mub, 10); | |
05c0805b JW |
354 | endmodule |
355 | ||
356 | module Logo( | |
357 | input pixclk, | |
358 | input [11:0] x, y, | |
359 | output wire enb, | |
360 | output wire [2:0] red, green, output wire [1:0] blue); | |
361 | ||
362 | reg [1:0] logo[8191:0]; | |
363 | initial $readmemb("logo.readmemb", logo); | |
364 | ||
365 | assign enb = (x < 96) && (y < 64); | |
366 | wire [12:0] addr = {y[5:0], x[6:0]}; | |
367 | wire [1:0] data = logo[addr]; | |
368 | assign {red, green, blue} = | |
369 | (data == 2'b00) ? 8'b00000000 : | |
370 | ((data == 2'b01) ? 8'b00011100 : | |
371 | ((data == 2'b10) ? 8'b11100000 : | |
372 | 8'b11111111)); | |
373 | endmodule | |
374 | ||
375 | module MandelTop( | |
376 | input gclk, output wire dcmok, | |
377 | output wire vs, hs, | |
378 | output wire [2:0] red, green, output [1:0] blue, | |
379 | input left, right, up, down, rst, cycle, logooff, | |
380 | input [2:0] scale); | |
381 | ||
534b3903 JW |
382 | wire pixclk, mclk, gclk2, clk; |
383 | wire dcm1ok, dcm2ok; | |
c3ed4329 | 384 | assign dcmok = dcm1ok && dcm2ok; |
265061f2 | 385 | |
e03ccef9 | 386 | IBUFG iclkbuf(.O(clk), .I(gclk)); |
534b3903 | 387 | |
c3ed4329 JW |
388 | pixDCM dcm( // CLKIN is 50MHz xtal, CLKFX_OUT is 25MHz |
389 | .CLKIN_IN(clk), | |
390 | .CLKFX_OUT(pixclk), | |
391 | .LOCKED_OUT(dcm1ok) | |
392 | ); | |
534b3903 | 393 | |
c3ed4329 JW |
394 | mandelDCM dcm2( |
395 | .CLKIN_IN(clk), | |
396 | .CLKFX_OUT(mclk), | |
397 | .LOCKED_OUT(dcm2ok) | |
398 | ); | |
534b3903 | 399 | |
05c0805b | 400 | wire border; |
05c0805b | 401 | wire [11:0] x, y; |
92e851e1 | 402 | reg [13:0] xofs = -`XRES/2, yofs = -`YRES/2; |
05c0805b JW |
403 | reg [5:0] slowctr = 0; |
404 | reg [7:0] colorcycle = 0; | |
405 | wire [11:0] realx, realy; | |
406 | ||
407 | wire logoenb; | |
408 | wire [2:0] mandelr, mandelg, logor, logog; | |
409 | wire [1:0] mandelb, logob; | |
410 | ||
05c0805b | 411 | SyncGen sync(pixclk, vs, hs, x, y, realx, realy, border); |
534b3903 | 412 | Mandelbrot mandel(mclk, pixclk, x, y, xofs, yofs, cycle ? colorcycle : 0, scale, mandelr, mandelg, mandelb); |
05c0805b JW |
413 | Logo logo(pixclk, realx, realy, logoenb, logor, logog, logob); |
414 | ||
415 | assign {red,green,blue} = | |
416 | border ? 8'b00000000 : | |
417 | (!logooff && logoenb) ? {logor, logog, logob} : {mandelr, mandelg, mandelb}; | |
418 | ||
419 | always @(posedge vs) | |
420 | begin | |
421 | if (rst) | |
422 | begin | |
423 | xofs <= -`XRES/2; | |
424 | yofs <= -`YRES/2; | |
425 | colorcycle <= 0; | |
426 | end else begin | |
427 | if (up) yofs <= yofs + 1; | |
428 | else if (down) yofs <= yofs - 1; | |
429 | ||
430 | if (left) xofs <= xofs + 1; | |
431 | else if (right) xofs <= xofs - 1; | |
432 | ||
433 | if (slowctr == 0) | |
434 | colorcycle <= colorcycle + 1; | |
435 | end | |
436 | ||
437 | if (slowctr == 12) | |
438 | slowctr <= 0; | |
439 | else | |
440 | slowctr <= slowctr + 1; | |
441 | end | |
442 | endmodule |