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Fix the lame on the multiplier's indentation
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cf1ae842 1/*
05c0805b
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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
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12
13module 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
57endmodule
58
59// bits: 1.12
60
61module 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);
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68
69 always @(posedge clk)
70 begin
71 {ovf,out} <=
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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)) +
ec33b708 77 ((y[7] ? (x >> 5) : 0) +
fb8d158b 78 (y[6] ? (x >> 6) : 0))))+
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79 (((y[5] ? (x >> 7) : 0) +
80 (y[4] ? (x >> 8) : 0) +
81 (y[3] ? (x >> 9) : 0)) +
82 ((y[2] ? (x >> 10): 0) +
83 (y[1] ? (x >> 11): 0) +
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84 (y[0] ? (x >> 12): 0)));
85 sign <= xsign ^ ysign;
86 end
87
88endmodule
89
90module Multiplier(
91 input clk,
92e851e1 92 input [12:0] x, y,
05c0805b 93 input xsign, ysign,
92e851e1 94 output wire [12:0] out,
05c0805b 95 output wire sign,
fb8d158b 96 output wire overflow);
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97
98 NaiveMultiplier nm(clk, x, y, xsign, ysign, out, sign, overflow);
99
100endmodule
101
fb8d158b 102// Yuq.
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103module MandelUnit(
104 input clk,
105 input [12:0] x, y,
106 input xsign, ysign,
92e851e1 107 input [14:0] r, i,
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108 input rsign, isign,
109 input [7:0] ibail, icuriter,
110 output reg [12:0] xout, yout,
111 output reg xsout, ysout,
92e851e1 112 output reg [14:0] rout, iout,
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113 output reg rsout, isout,
114 output reg [7:0] obail, ocuriter);
115
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116 wire [13:0] r2, i2;
117 wire [14:0] ri, diff;
9032b2b5 118 wire [15:0] twocdiff;
05c0805b 119 wire r2sign, i2sign, risign, dsign;
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120 wire [13:0] bigsum;
121 wire bigsum_ovf;
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122
123 reg [12:0] xd, yd;
2afeab21 124 reg ineedbaild;
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125 reg xsd, ysd;
126 reg [7:0] ibaild, curiterd;
127
128 assign ri[0] = 0;
129
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130 Multiplier r2m(clk, r[12:0], r[12:0], rsign, rsign, r2[12:0], r2sign, r2[13]);
131 Multiplier i2m(clk, i[12:0], i[12:0], isign, isign, i2[12:0], i2sign, i2[13]);
132 Multiplier rim(clk, r[12:0], i[12:0], rsign, isign, ri[13:1], risign, ri[14]);
05c0805b 133
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134 assign bigsum = r2[12:0] + i2[12:0];
135 assign bigsum_ovf = bigsum[13] | r2[13] | i2[13];
2afeab21 136
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137 assign twocdiff = r2 - i2;
138 assign diff = twocdiff[15] ? -twocdiff : twocdiff;
139 assign dsign = twocdiff[15];
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140
141 wire [15:0] twocrout = xd - diff;
142 wire [15:0] twociout = yd - ri;
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143
144 always @ (posedge clk)
145 begin
146 xd <= x;
147 yd <= y;
148 xsd <= xsign;
149 ysd <= ysign;
150 xout <= xd;
151 yout <= yd;
152 xsout <= xsd;
153 ysout <= ysd;
154 ibaild <= ibail;
155 curiterd <= icuriter;
2afeab21 156 ineedbaild <= r[13] | r[14] | i[13] | i[14];
05c0805b 157
2afeab21 158 // r^2 - i^2 + x
05c0805b 159 if (xsd ^ dsign) begin
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160 if (twocrout[15]) begin // diff > xd
161 rout <= -twocrout;
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162 rsout <= dsign;
163 end else begin
2afeab21 164 rout <= twocrout;
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165 rsout <= xsd;
166 end
167 end else begin
168 rout <= diff + xd;
2afeab21 169 rsout <= xsd; // xsd == dsign
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170 end
171
2afeab21 172 // 2 * r * i + y
05c0805b 173 if (ysd ^ risign) begin
2afeab21
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174 if (twociout[15]) begin // ri > yd
175 iout <= -twociout;
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176 isout <= risign;
177 end else begin
2afeab21 178 iout <= twociout;
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179 isout <= ysd;
180 end
181 end else begin
182 iout <= ri + yd;
183 isout <= ysd;
184 end
185
186 // If we haven't bailed out, and we meet any of the bailout conditions,
187 // bail out now. Otherwise, leave the bailout at whatever it was before.
2afeab21 188 if ((ibaild == 255) && (bigsum_ovf | ineedbaild))
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189 obail <= curiterd;
190 else
191 obail <= ibaild;
192 ocuriter <= curiterd + 8'b1;
193 end
194
195endmodule
196
197module Mandelbrot(
198 input mclk,
199 input pixclk,
200 input [11:0] x, y,
92e851e1 201 input [13:0] xofs, yofs,
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202 input [7:0] colorofs,
203 input [2:0] scale,
204 output reg [2:0] red, green, output reg [1:0] blue);
281eac32 205
534b3903 206`define MAXOUTN 11
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207
208 wire [12:0] rx, ry;
209 wire [13:0] nx, ny;
210 wire rxsign, rysign;
211
212 assign nx = x + xofs;
213 assign ny = y + yofs;
214 assign rx = (nx[13] ? -nx[12:0] : nx[12:0]) << scale;
215 assign rxsign = nx[13];
216 assign ry = (ny[13] ? -ny[12:0] : ny[12:0]) << scale;
217 assign rysign = ny[13];
05c0805b 218
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219 wire [14:0] mr[`MAXOUTN:0], mi[`MAXOUTN:0];
220 wire mrs[`MAXOUTN:0], mis[`MAXOUTN:0];
221 wire [7:0] mb[`MAXOUTN:0];
222 wire [12:0] xprop[`MAXOUTN:0], yprop[`MAXOUTN:0];
223 wire xsprop[`MAXOUTN:0], ysprop[`MAXOUTN:0];
224 wire [7:0] curiter[`MAXOUTN:0];
05c0805b 225
79af494a
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226 reg [14:0] initx, inity, initr, initi;
227 reg [7:0] initci, initb;
228 reg initxs, initys, initrs, initis;
05c0805b 229
534b3903
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230 // Values after the number of iterations denoted by the subscript.
231 reg [14:0] stagex [2:1], stagey [2:1], stager [2:1], stagei [2:1];
232 reg [7:0] stageci [2:1], stageb [2:1];
233 reg stagexs [2:1], stageys [2:1], stagers [2:1], stageis [2:1];
05c0805b 234
534b3903 235 reg [2:0] state = 3'b001; // One-hot encoded state.
05c0805b 236
79af494a
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237 // States are advanced one from what they should be, so that they'll
238 // get there on the _next_ mclk.
239 always @(posedge mclk)
240 begin
241 initx <= (state[2]) ? rx :
242 (state[0]) ? stagex[1] :
243 (state[1]) ? stagex[2] : 0;
244 inity <= (state[2]) ? ry :
245 (state[0]) ? stagey[1] :
246 (state[1]) ? stagey[2] : 0;
247 initr <= (state[2]) ? rx :
248 (state[0]) ? stager[1] :
249 (state[1]) ? stager[2] : 0;
250 initi <= (state[2]) ? ry :
251 (state[0]) ? stagei[1] :
252 (state[1]) ? stagei[2] : 0;
253 initxs <= (state[2]) ? rxsign :
254 (state[0]) ? stagexs[1] :
255 (state[1]) ? stagexs[2] : 0;
256 initys <= (state[2]) ? rysign :
257 (state[0]) ? stageys[1] :
258 (state[1]) ? stageys[2] : 0;
259 initrs <= (state[2]) ? rxsign :
260 (state[0]) ? stagers[1] :
261 (state[1]) ? stagers[2] : 0;
262 initis <= (state[2]) ? rysign :
263 (state[0]) ? stageis[1] :
264 (state[1]) ? stageis[2] : 0;
265 initb <= (state[2]) ? 8'b11111111 :
266 (state[0]) ? stageb[1] :
267 (state[1]) ? stageb[2] : 0;
268 initci <= (state[2]) ? 8'b00000000 :
269 (state[0]) ? stageci[1] :
270 (state[1]) ? stageci[2] : 0;
271 end
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272
273 reg [7:0] out;
251788d8
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274
275 // We detect when the state should be poked by a high negedge followed
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276 // by a high posedge -- if that happens, then we're guaranteed that the
277 // state following the current state will be 3'b100.
251788d8 278 reg lastneg;
265061f2 279 always @(negedge mclk)
251788d8 280 lastneg <= pixclk;
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281
282 always @(posedge mclk)
283 begin
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284 if (lastneg && pixclk) // If a pixclk has happened, the state should be reset.
285 state <= 3'b100;
286 else // Otherwise, just poke it forward.
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287 case(state)
288 3'b001: state <= 3'b010;
289 3'b010: state <= 3'b100;
290 3'b100: state <= 3'b001;
291 endcase
251788d8 292
534b3903
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293 // Data output handling
294 if (state[0]) begin
05c0805b 295 {red, green, blue} <= {out[0],out[3],out[6],out[1],out[4],out[7],out[2],out[5]};
05c0805b 296 end
3068fa61 297 if (state[1]) begin
534b3903
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298 out <= ~mb[`MAXOUTN] + colorofs;
299 end
300
3068fa61 301 if (state[0]) begin // PnR0 in, PnR2 out
534b3903
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302 stagex[2] <= xprop[`MAXOUTN];
303 stagey[2] <= yprop[`MAXOUTN];
304 stager[2] <= mr[`MAXOUTN];
305 stagei[2] <= mi[`MAXOUTN];
306 stagexs[2] <= xsprop[`MAXOUTN];
307 stageys[2] <= ysprop[`MAXOUTN];
308 stagers[2] <= mrs[`MAXOUTN];
309 stageis[2] <= mis[`MAXOUTN];
310 stageb[2] <= mb[`MAXOUTN];
311 stageci[2] <= curiter[`MAXOUTN];
312 end
313
3068fa61 314 if (state[2]) begin // PnR2 in, PnR1 out
534b3903
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315 stagex[1] <= xprop[`MAXOUTN];
316 stagey[1] <= yprop[`MAXOUTN];
317 stager[1] <= mr[`MAXOUTN];
318 stagei[1] <= mi[`MAXOUTN];
319 stagexs[1] <= xsprop[`MAXOUTN];
320 stageys[1] <= ysprop[`MAXOUTN];
321 stagers[1] <= mrs[`MAXOUTN];
322 stageis[1] <= mis[`MAXOUTN];
323 stageb[1] <= mb[`MAXOUTN];
324 stageci[1] <= curiter[`MAXOUTN];
325 end
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326 end
327
328 MandelUnit mu0(
329 mclk,
330 initx, inity, initxs, initys,
331 initr, initi, initrs, initis,
332 initb, initci,
333 xprop[0], yprop[0], xsprop[0], ysprop[0],
334 mr[0], mi[0], mrs[0], mis[0],
335 mb[0], curiter[0]);
e03ccef9
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336
337`define MAKE_UNIT(name, num) \
338 MandelUnit name(mclk, \
339 xprop[(num)], yprop[(num)], xsprop[(num)], ysprop[(num)], mr[(num)], mi[(num)], mrs[(num)], mis[(num)], mb[(num)], curiter[(num)], \
340 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 341
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342 `MAKE_UNIT(mu1, 0);
343 `MAKE_UNIT(mu2, 1);
344 `MAKE_UNIT(mu3, 2);
345 `MAKE_UNIT(mu4, 3);
346 `MAKE_UNIT(mu5, 4);
347 `MAKE_UNIT(mu6, 5);
348 `MAKE_UNIT(mu7, 6);
349 `MAKE_UNIT(mu8, 7);
350 `MAKE_UNIT(mu9, 8);
351 `MAKE_UNIT(mua, 9);
352 `MAKE_UNIT(mub, 10);
05c0805b
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353endmodule
354
355module Logo(
356 input pixclk,
357 input [11:0] x, y,
358 output wire enb,
359 output wire [2:0] red, green, output wire [1:0] blue);
360
361 reg [1:0] logo[8191:0];
362 initial $readmemb("logo.readmemb", logo);
363
364 assign enb = (x < 96) && (y < 64);
365 wire [12:0] addr = {y[5:0], x[6:0]};
366 wire [1:0] data = logo[addr];
367 assign {red, green, blue} =
368 (data == 2'b00) ? 8'b00000000 :
369 ((data == 2'b01) ? 8'b00011100 :
370 ((data == 2'b10) ? 8'b11100000 :
371 8'b11111111));
372endmodule
373
374module MandelTop(
375 input gclk, output wire dcmok,
376 output wire vs, hs,
377 output wire [2:0] red, green, output [1:0] blue,
378 input left, right, up, down, rst, cycle, logooff,
379 input [2:0] scale);
380
11cc2d9b 381 wire pixclk, mclk, clk;
534b3903 382 wire dcm1ok, dcm2ok;
c3ed4329 383 assign dcmok = dcm1ok && dcm2ok;
265061f2 384
e03ccef9 385 IBUFG iclkbuf(.O(clk), .I(gclk));
534b3903 386
c3ed4329
JW
387 pixDCM dcm( // CLKIN is 50MHz xtal, CLKFX_OUT is 25MHz
388 .CLKIN_IN(clk),
389 .CLKFX_OUT(pixclk),
390 .LOCKED_OUT(dcm1ok)
391 );
534b3903 392
c3ed4329
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393 mandelDCM dcm2(
394 .CLKIN_IN(clk),
395 .CLKFX_OUT(mclk),
396 .LOCKED_OUT(dcm2ok)
397 );
534b3903 398
05c0805b 399 wire border;
05c0805b 400 wire [11:0] x, y;
92e851e1 401 reg [13:0] xofs = -`XRES/2, yofs = -`YRES/2;
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402 reg [5:0] slowctr = 0;
403 reg [7:0] colorcycle = 0;
404 wire [11:0] realx, realy;
405
406 wire logoenb;
407 wire [2:0] mandelr, mandelg, logor, logog;
408 wire [1:0] mandelb, logob;
409
05c0805b 410 SyncGen sync(pixclk, vs, hs, x, y, realx, realy, border);
534b3903 411 Mandelbrot mandel(mclk, pixclk, x, y, xofs, yofs, cycle ? colorcycle : 0, scale, mandelr, mandelg, mandelb);
05c0805b
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412 Logo logo(pixclk, realx, realy, logoenb, logor, logog, logob);
413
414 assign {red,green,blue} =
415 border ? 8'b00000000 :
416 (!logooff && logoenb) ? {logor, logog, logob} : {mandelr, mandelg, mandelb};
417
418 always @(posedge vs)
419 begin
420 if (rst)
421 begin
422 xofs <= -`XRES/2;
423 yofs <= -`YRES/2;
424 colorcycle <= 0;
425 end else begin
426 if (up) yofs <= yofs + 1;
427 else if (down) yofs <= yofs - 1;
428
429 if (left) xofs <= xofs + 1;
430 else if (right) xofs <= xofs - 1;
431
432 if (slowctr == 0)
433 colorcycle <= colorcycle + 1;
434 end
435
436 if (slowctr == 12)
437 slowctr <= 0;
438 else
439 slowctr <= slowctr + 1;
440 end
441endmodule
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