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Thread: Vector draw examples/libs using T3.5/3.6 DAC ?

  1. #1

    Vector draw examples/libs using T3.5/3.6 DAC ?

    Just wondering if anyone has worked out an application like this

    https://www.nycresistor.com/2012/09/03/vector-display/

    using the built-in DAC hardware on the 3.5 or 3.6. I'm sneaking up on a vector CRT display emulator for legacy (boat anchor) test equipment, e.g., HP 1345A.

    Any tips/gotchas/examples/fonts appreciated.

    Tx.,
    zike

  2. #2
    Senior Member PaulStoffregen's Avatar
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    Nov 2012
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    My guess is it should work if you just replace those writes to PORTB and PORTD with analogWrite(A21, value) and analogWrite(A22, value).

  3. #3
    Finally got round to this, very good results on a 3.5. I put a demo here on YouTube. Nothing
    but the Teensy and a couple scope probes into a Tek 2213A (60 MHz analog, 14 kV PDA; ca. 1985 or so).

    Jerkiness visible in the line test appears to be aliasing by the video camera, I don't see that on screen.

    Memory and speed make this way easier than it must have been with an AVR. Also the 12-bit DAC's give surprisingly nice character quality, almost approaching those old HP1345A vector displays. I had planned to add Z blanking from a digital pin, but the slew is fast enough that it's not required.

    Code is primitive; eager to learn better ways if there are suggestions. In particular my Hershey font "library" is pretty sketchy, I was unable to get anyone else's to work so I cobbled up my own.

    Cheers,

    Mike

    Code:
    /*
       Vector text and drawing on XY analog oscilloscope display
       for PJRC Teensy 3.5 w/ internal 2-channel 12-bit DAC
       https://www.pjrc.com/store/teensy35.html
    
       MEZ 12/8/2017
    
       Hershey Simplex font rendered as C array by Paul Burke
       http://paulbourke.net/dataformats/hershey/
    
       Line drawing adapted from Trammel Hudson oscilloscope clock project
       https://www.nycresistor.com/2012/09/03/vector-display/
    
    */
    
    # include <hershey_simplex.h>
    
    #define xpin  A21   // Teensy 3.5/3.6 DAC 0  
    #define ypin  A22   // Teensy 3.5/3.6 DAC 1 
    
    const uint16_t  dwellMicros = 0;
    const uint16_t  dacRes = 12;
    const uint16_t  ch = 32;
    const float     twoPi = 6.283185307179586 ;
    
    
    uint16_t        outX = 0;  // remember current point
    uint16_t        outY = 0;  //
    
    uint16_t        fontScale = 9;
    
    uint16_t        xCenter = pow(2, dacRes - 1);
    uint16_t        yCenter = xCenter;
    
    
    char title[] = "VECTOR DISPLAY TEST v1.0";
    char   sig[] = "     MEZ 12/8/2017";
    char  caps[] = "ABCDEFGHIJKLMNOPQRSTUVWXYZ" ;
    char    lc[] = "abcdefghijklmnopqrstuvwxyz" ;
    char  syma[] = {32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 32}; // note  extra '32' (space); compiler bug?
    char  symb[] = {48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64};
    
    /*
     * ***************************************************
    */
    
    void setup() {
      Serial.begin(9600);
      Serial.println( title );
      Serial.println( sig);
    
      analogWriteResolution(dacRes);
      moveTo(xCenter, yCenter);
      long backspace = size_str(title, fontScale) / 2;
      while (millis() < 2000) {
        draw_str(xCenter - backspace, yCenter, title , fontScale);
        draw_str(xCenter - backspace, yCenter - vSpace(fontScale), sig , fontScale);
      }
    }
    
    /*
     * ***************************************************
    */
    
    void loop() {
      
      line_test();
      box_test();
      circle_test();
      text_test_1();
      text_test_2();
      text_test_3();
      
    }
    
    /*
     * ***************************************************
    */
    
    void writeDAC (uint16_t xx, uint16_t yy) {
      xx = max(xx, 0);
      yy = max(yy, 0);
      analogWrite(xpin, xx);
      analogWrite(ypin, yy);
    }
    
    /*
     * ***************************************************
    */
    
    void pixel_delay(void) {
      delayMicroseconds(dwellMicros);
    }
    
    /*
     * ***************************************************
    */
    
    void moveTo(long x, long y) {
      x = max(x, 0); // prevent underflow error
      y = max(y, 0); //
      outX = x;
      outY = y;
      writeDAC(outX, outY);
    }
    
    /*
     * ***************************************************
    */
    
    void line_vert(uint16_t x0, uint16_t y0,  uint16_t w) {
      // requires w > 0
      moveTo(x0, y0);
      for (uint16_t i = 0 ; i < w ; i++)
      {
        outY = y0++;
        writeDAC(outX, outY);
        pixel_delay();
      }
    }
    
    /*
     * ***************************************************
    */
    
    void line_horiz( uint16_t x0,   uint16_t y0,   uint16_t h ) {
      // requires h > 0
      moveTo(x0, y0);
      for (uint16_t i = 0 ; i < h ; i++)
      {
        outX = x0++;
        writeDAC(outX, outY);
        pixel_delay();
      }
    }
    
    /*
     * ***************************************************
    */
    
    void line(long x0, long y0, long x1, long y1 ) {
      // modified Bresenham algorithm
      x0 = max(x0, 0); // trap to prevent underflow error
      y0 = max(y0, 0); //
      x1 = max(x1, 0);
      y1 = max(y1, 0);
      long dx, dy, sx, sy;
      if (x0 == x1) {
        if (y0 < y1)
          line_vert(x0, y0, y1 - y0);
        else
          line_vert(x0, y1, y0 - y1);
        return;
      }
      if (y0 == y1) {
        if (x0 < x1)
          line_horiz(x0, y0, x1 - x0);
        else
          line_horiz(x1, y0, x0 - x1);
        return;
      }
      if (x0 <= x1) {
        dx = x1 - x0;
        sx = 1;
      }
      else {
        dx = x0 - x1;
        sx = -1;
      }
      if (y0 <= y1) {
        dy = y1 - y0;
        sy = 1;
      }
      else {
        dy = y0 - y1;
        sy = -1;
      }
      long err = dx - dy;
      moveTo(x0, y0);
      while (1) {
        if (x0 == x1 && y0 == y1)
          break;
        long e2 = 2 * err;
        if (e2 > -dy) {
          err = err - dy;
          outX = (x0 += sx);
          writeDAC(outX, outY);
        }
        if (e2 < dx) {
          err = err + dx;
          outY = (y0 += sy);
          writeDAC(outX, outY);
        }
        pixel_delay();
      }
    }
    
    /*
     * ***************************************************
    */
    
    uint16_t vSpace(uint16_t sc) {
      uint16_t charHeight = (21 + 7) ; // approximate
      return (sc * 1.25 * charHeight);
    }
    
    /*
     * ***************************************************
    */
    
    long scaling( long d, uint16_t scale) {
      return (d * scale);
    }
    
    /*
     * ***************************************************
    */
    
    long draw_char( long x,  long y, uint8_t c, uint8_t scale ) {
      x = max(x, 0);
      y = max(y, 0);
      uint16_t ox = x;
      uint16_t oy = y;
      uint16_t pen_down = 0;
      if (c < 0x20) {
        return 0;
      }
      int asc = c - 0x20;
      int nvert = simplex[asc][0];      // no. vertices in character
      uint8_t nwide = simplex[asc][1];  // width of character
      for (uint8_t i = 0 ; i < nvert ; i++) {
        int8_t px = simplex[asc][2 * i + 2];
        int8_t py = simplex[asc][2 * i + 3];;
        if (px == -1 && py == -1) {
          pen_down = 0;
          continue;
        }
        uint16_t nx = x + scaling(px, scale);
        uint16_t ny = y + scaling(py, scale);
        if (pen_down) {
          line(ox, oy, nx, ny);
        }
        pen_down = 1;
        ox = nx;
        oy = ny;
      }
      return scaling(nwide, scale);
    }
    
    /*
     * ***************************************************
    */
    
    long size_str(const char * str , uint16_t scale) {
      // return pixel (DAC count) length of given string at current scale
      char c;
      long w = 0;
      while ((c = *str++)) {
        int asc = c - 0x20;               // row in file is ascii code c - 32
        w += simplex[asc][1];             // width of character is first entry in row
      }
      return scaling(w, scale);
    }
    
    /*
     * ***************************************************
    */
    
    uint16_t draw_str( long x, long y, const char * str, uint16_t scale) {
      x = max(x, 0);
      y = max(y, vSpace(scale) / 4);
      // draw text string, return ending x position (DAC count)
      char c;
      while ((c = *str++)) {
        x += draw_char (x, y, c, scale);
      }
      return x;
    }
    
    /*
     * **************************************************************************************
    */
    
    void draw_box(uint16_t x, uint16_t y, long xwd, long yhi) {
      // draw rectangle from lower left corner (x,y) xwd wide and yhi hight  (all DAC counts)
      line(x, y, x + xwd, y);
      line(x + xwd, y, x + xwd, y + yhi);
      line(x + xwd, y + yhi, x, y + yhi);
      line(x, y + yhi, x, y);
    }
    
    /*
     * **************************************************************************************
    */
    
    void draw_circle(uint16_t xctr, uint16_t yctr, uint16_t rad) {
      // draw circle centered at xctr,yctr with radius rad (all DAC counts)
      long x0 = xctr + rad;
      long y0 = yctr;
      moveTo(x0, y0);
      for (long j = 0; j < 361; j += 10) {
        long y1 = xctr + long (rad * sinf(twoPi * (float)j / 360) );
        long x1 = yctr + long (rad * cosf(twoPi * (float)j / 360) );
        line(x0, y0, x1, y1);
        x0 = x1;
        y0 = y1;
      }
    }
    
    /*
     * *******************************************************************
     * ************** DEMO TESTS *****************************************
     * *******************************************************************
    */
    
    void line_test() {
      // test general, horizontal and vertical line drawing
      float  freq = .5;  // Hz
      float  amp = 2000; // counts
      for (int k = 1; k < 200; k++) {
        float phi = twoPi * freq * millis() / 1000 ;
        long xnew = 2048 -  (long) amp * cosf (phi);
        xnew = max(0, xnew);
        long ynew = 2048 +  (long) amp * sinf (phi);
        ynew = max(0, ynew);
    
        line(0, 0, xnew, ynew);
        line_vert(xnew, 0, ynew);
        line_horiz(0, ynew, xnew);
    
    
        line(4095, 4095, xnew, ynew);
        line_vert(xnew, ynew, 4095 - ynew); // requires finish > start
        line_horiz(xnew, ynew, 4095 - xnew); // requires finish > start
      }
    }
    
    /*
     * *******************************************************************
    */
    
    void box_test() {
      // test box drawing
      int xc = 2047;
      int yc = 2047;
      for (int m = 0; m < 2; m++) {
        int dy = 40;
        int dx = 40;
        for (int ddx = dx; ddx < 4000; ddx += 40) {
          draw_box(xc - ddx / 2, yc - dy / 2, ddx, dy);
          dx = ddx;
        }
        for (int ddy = dy; ddy < 4000; ddy += 40) {
          draw_box(xc - dx / 2, yc - ddy / 2, dx , ddy);
          dy = ddy;
        }
        for (int sz = dy; sz > 0 ; sz -= 40) {
          draw_box(xc - sz / 2, yc - sz / 2, sz, sz);
        }
      }
    }
    
    /*
     * **************************************************************************************
    */
    
    
    void circle_test() {
      // test circle drawing
      for (int m = 0;  m < 2; m++) {
        for (float r = 1; r < 2000; r *= 1.03) {
          draw_circle(2047, 2047, r);
        }
        for (float r = 2000; r > 1 ; r *= 0.97) {
          draw_circle(2047, 2047, r);
        }
      }
    }
    
    
    /*
     * **************************************************************************************
    */
    
    void text_test_1() {
      // display font really big
      int s = 100;
      int x = 2047;
      int y = 2047 - vSpace(s) / 4 ;
      char b[2];
      for (int k = 32; k < 127; k++) {
        String Q = String(char(k));
        Q.toCharArray(b, 2);
        x = 2047 - size_str(b, s) / 2 ;
        long start = millis();
        while (millis() - start < 300) {
          draw_char(x, y, k, s);
        }
      }
    }
    
    
    /*
     * **************************************************************************************
    */
    
    void text_test_2() {
      // display font list at various scales
      for (int m = 0; m < 2; m++) {
        for (float p = 2 ; p < 14; p *= 1.02) {
          float s = min(p, 8);
          long yy = 2247;
          long xx = 2047 ;
          xx = 2047 - size_str(caps, int(s)) / 2;
          draw_str(xx, yy, caps, s);
    
          yy = yy - vSpace(s);
          xx = 2047 - size_str(lc, int(s)) / 2 ;
          draw_str(xx, yy, lc, s);
    
          yy = yy - vSpace(s);
          xx = 2047 - size_str(syma, int(s)) / 2 ;
          draw_str(xx, yy, syma, s);
    
          yy = yy - vSpace(s);
          xx = 2047 - size_str(symb, int(s)) / 2 ;
          draw_str(xx, yy, symb, s);
        }
      }
    }
    
    /*
     * **************************************************************************************
    */
    
    void text_test_3() {
      // display information strings and live data from onboard ADC
      char vt[] = "0.000";
      long voltage = 0;
      int fontScale = 9;
      long yy = 2200;
      int avg = 10;
      long count = 0;
      for (int l = 0; l < 500; l++) {
        long nx = 100;
        voltage =  voltage + analogRead(A20);
        count++;
        if (count > avg) {
          voltage = voltage / avg ;
          String volt = String(3.3 * float(voltage) / 1024.0, 3);
          volt.toCharArray(vt, sizeof(vt));
          count = 0;
        }
        nx = draw_str(nx, yy, "ADC 0 input: ", fontScale); // return arg = last position used
        nx = draw_str(nx, yy, vt, fontScale);
        nx = draw_str(nx, yy, " Volts", fontScale);
      }
    }
    
    
    /*
     * **************************************************************************************
    */
    
    // FIN

  4. #4
    The simplex font library, from Paul Bourke's site. I'd be interested if anyone
    could help me translate the higher codes, particularly math symbols and greek letters, into similar format; the algorithm sounds straightforward but I don't yet have the skills.

    Code:
    #ifndef _hershey_simplex_h
    #define _hershey_simplex_h
    
    #include <stdint.h>
    
    extern const int simplex[95][112];
    
    #endif

    Code:
    /*
     *  ASCII Hershey Simplex font for vector display
     *  MEZ 12/7/2017
     */
    
    #include "hershey_simplex.h"
    
    const int simplex[95][112] = {
      0, 16, /* Ascii 32 */
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 10, /* Ascii 33 */
      5, 21, 5, 7, -1, -1, 5, 2, 4, 1, 5, 0, 6, 1, 5, 2, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 16, /* Ascii 34 */
      4, 21, 4, 14, -1, -1, 12, 21, 12, 14, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 21, /* Ascii 35 */
      11, 25, 4, -7, -1, -1, 17, 25, 10, -7, -1, -1, 4, 12, 18, 12, -1, -1, 3, 6, 17, 6, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      26, 20, /* Ascii 36 */
      8, 25, 8, -4, -1, -1, 12, 25, 12, -4, -1, -1, 17, 18, 15, 20, 12, 21, 8, 21, 5, 20, 3,
      18, 3, 16, 4, 14, 5, 13, 7, 12, 13, 10, 15, 9, 16, 8, 17, 6, 17, 3, 15, 1, 12, 0,
      8, 0, 5, 1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      31, 24, /* Ascii 37 */
      21, 21, 3, 0, -1, -1, 8, 21, 10, 19, 10, 17, 9, 15, 7, 14, 5, 14, 3, 16, 3, 18, 4,
      20, 6, 21, 8, 21, 10, 20, 13, 19, 16, 19, 19, 20, 21, 21, -1, -1, 17, 7, 15, 6, 14, 4,
      14, 2, 16, 0, 18, 0, 20, 1, 21, 3, 21, 5, 19, 7, 17, 7, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      34, 26, /* Ascii 38 */
      23, 12, 23, 13, 22, 14, 21, 14, 20, 13, 19, 11, 17, 6, 15, 3, 13, 1, 11, 0, 7, 0, 5,
      1, 4, 2, 3, 4, 3, 6, 4, 8, 5, 9, 12, 13, 13, 14, 14, 16, 14, 18, 13, 20, 11, 21,
      9, 20, 8, 18, 8, 16, 9, 13, 11, 10, 16, 3, 18, 1, 20, 0, 22, 0, 23, 1, 23, 2, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      7, 10, /* Ascii 39 */
      5, 19, 4, 20, 5, 21, 6, 20, 6, 18, 5, 16, 4, 15, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 14, /* Ascii 40 */
      11, 25, 9, 23, 7, 20, 5, 16, 4, 11, 4, 7, 5, 2, 7, -2, 9, -5, 11, -7, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 14, /* Ascii 41 */
      3, 25, 5, 23, 7, 20, 9, 16, 10, 11, 10, 7, 9, 2, 7, -2, 5, -5, 3, -7, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 16, /* Ascii 42 */
      8, 21, 8, 9, -1, -1, 3, 18, 13, 12, -1, -1, 13, 18, 3, 12, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 26, /* Ascii 43 */
      13, 18, 13, 0, -1, -1, 4, 9, 22, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 10, /* Ascii 44 */
      6, 1, 5, 0, 4, 1, 5, 2, 6, 1, 6, -1, 5, -3, 4, -4, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 26, /* Ascii 45 */
      4, 9, 22, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 10, /* Ascii 46 */
      5, 2, 4, 1, 5, 0, 6, 1, 5, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 22, /* Ascii 47 */
      20, 25, 2, -7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 20, /* Ascii 48 */
      9, 21, 6, 20, 4, 17, 3, 12, 3, 9, 4, 4, 6, 1, 9, 0, 11, 0, 14, 1, 16, 4, 17,
      9, 17, 12, 16, 17, 14, 20, 11, 21, 9, 21, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      4, 20, /* Ascii 49 */
      6, 17, 8, 18, 11, 21, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      14, 20, /* Ascii 50 */
      4, 16, 4, 17, 5, 19, 6, 20, 8, 21, 12, 21, 14, 20, 15, 19, 16, 17, 16, 15, 15, 13, 13,
      10, 3, 0, 17, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      15, 20, /* Ascii 51 */
      5, 21, 16, 21, 10, 13, 13, 13, 15, 12, 16, 11, 17, 8, 17, 6, 16, 3, 14, 1, 11, 0, 8,
      0, 5, 1, 4, 2, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      6, 20, /* Ascii 52 */
      13, 21, 3, 7, 18, 7, -1, -1, 13, 21, 13, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 20, /* Ascii 53 */
      15, 21, 5, 21, 4, 12, 5, 13, 8, 14, 11, 14, 14, 13, 16, 11, 17, 8, 17, 6, 16, 3, 14,
      1, 11, 0, 8, 0, 5, 1, 4, 2, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      23, 20, /* Ascii 54 */
      16, 18, 15, 20, 12, 21, 10, 21, 7, 20, 5, 17, 4, 12, 4, 7, 5, 3, 7, 1, 10, 0, 11,
      0, 14, 1, 16, 3, 17, 6, 17, 7, 16, 10, 14, 12, 11, 13, 10, 13, 7, 12, 5, 10, 4, 7,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 20, /* Ascii 55 */
      17, 21, 7, 0, -1, -1, 3, 21, 17, 21, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      29, 20, /* Ascii 56 */
      8, 21, 5, 20, 4, 18, 4, 16, 5, 14, 7, 13, 11, 12, 14, 11, 16, 9, 17, 7, 17, 4, 16,
      2, 15, 1, 12, 0, 8, 0, 5, 1, 4, 2, 3, 4, 3, 7, 4, 9, 6, 11, 9, 12, 13, 13,
      15, 14, 16, 16, 16, 18, 15, 20, 12, 21, 8, 21, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      23, 20, /* Ascii 57 */
      16, 14, 15, 11, 13, 9, 10, 8, 9, 8, 6, 9, 4, 11, 3, 14, 3, 15, 4, 18, 6, 20, 9,
      21, 10, 21, 13, 20, 15, 18, 16, 14, 16, 9, 15, 4, 13, 1, 10, 0, 8, 0, 5, 1, 4, 3,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 10, /* Ascii 58 */
      5, 14, 4, 13, 5, 12, 6, 13, 5, 14, -1, -1, 5, 2, 4, 1, 5, 0, 6, 1, 5, 2, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      14, 10, /* Ascii 59 */
      5, 14, 4, 13, 5, 12, 6, 13, 5, 14, -1, -1, 6, 1, 5, 0, 4, 1, 5, 2, 6, 1, 6,
      -1, 5, -3, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      3, 24, /* Ascii 60 */
      20, 18, 4, 9, 20, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 26, /* Ascii 61 */
      4, 12, 22, 12, -1, -1, 4, 6, 22, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      3, 24, /* Ascii 62 */
      4, 18, 20, 9, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      20, 18, /* Ascii 63 */
      3, 16, 3, 17, 4, 19, 5, 20, 7, 21, 11, 21, 13, 20, 14, 19, 15, 17, 15, 15, 14, 13, 13,
      12, 9, 10, 9, 7, -1, -1, 9, 2, 8, 1, 9, 0, 10, 1, 9, 2, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      55, 27, /* Ascii 64 */
      18, 13, 17, 15, 15, 16, 12, 16, 10, 15, 9, 14, 8, 11, 8, 8, 9, 6, 11, 5, 14, 5, 16,
      6, 17, 8, -1, -1, 12, 16, 10, 14, 9, 11, 9, 8, 10, 6, 11, 5, -1, -1, 18, 16, 17, 8,
      17, 6, 19, 5, 21, 5, 23, 7, 24, 10, 24, 12, 23, 15, 22, 17, 20, 19, 18, 20, 15, 21, 12,
      21, 9, 20, 7, 19, 5, 17, 4, 15, 3, 12, 3, 9, 4, 6, 5, 4, 7, 2, 9, 1, 12, 0,
      15, 0, 18, 1, 20, 2, 21, 3, -1, -1, 19, 16, 18, 8, 18, 6, 19, 5,
      8, 18, /* Ascii 65 */
      9, 21, 1, 0, -1, -1, 9, 21, 17, 0, -1, -1, 4, 7, 14, 7, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      23, 21, /* Ascii 66 */
      4, 21, 4, 0, -1, -1, 4, 21, 13, 21, 16, 20, 17, 19, 18, 17, 18, 15, 17, 13, 16, 12, 13,
      11, -1, -1, 4, 11, 13, 11, 16, 10, 17, 9, 18, 7, 18, 4, 17, 2, 16, 1, 13, 0, 4, 0,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      18, 21, /* Ascii 67 */
      18, 16, 17, 18, 15, 20, 13, 21, 9, 21, 7, 20, 5, 18, 4, 16, 3, 13, 3, 8, 4, 5, 5,
      3, 7, 1, 9, 0, 13, 0, 15, 1, 17, 3, 18, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      15, 21, /* Ascii 68 */
      4, 21, 4, 0, -1, -1, 4, 21, 11, 21, 14, 20, 16, 18, 17, 16, 18, 13, 18, 8, 17, 5, 16,
      3, 14, 1, 11, 0, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 19, /* Ascii 69 */
      4, 21, 4, 0, -1, -1, 4, 21, 17, 21, -1, -1, 4, 11, 12, 11, -1, -1, 4, 0, 17, 0, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 18, /* Ascii 70 */
      4, 21, 4, 0, -1, -1, 4, 21, 17, 21, -1, -1, 4, 11, 12, 11, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      22, 21, /* Ascii 71 */
      18, 16, 17, 18, 15, 20, 13, 21, 9, 21, 7, 20, 5, 18, 4, 16, 3, 13, 3, 8, 4, 5, 5,
      3, 7, 1, 9, 0, 13, 0, 15, 1, 17, 3, 18, 5, 18, 8, -1, -1, 13, 8, 18, 8, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 22, /* Ascii 72 */
      4, 21, 4, 0, -1, -1, 18, 21, 18, 0, -1, -1, 4, 11, 18, 11, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 8, /* Ascii 73 */
      4, 21, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 16, /* Ascii 74 */
      12, 21, 12, 5, 11, 2, 10, 1, 8, 0, 6, 0, 4, 1, 3, 2, 2, 5, 2, 7, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 21, /* Ascii 75 */
      4, 21, 4, 0, -1, -1, 18, 21, 4, 7, -1, -1, 9, 12, 18, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 17, /* Ascii 76 */
      4, 21, 4, 0, -1, -1, 4, 0, 16, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 24, /* Ascii 77 */
      4, 21, 4, 0, -1, -1, 4, 21, 12, 0, -1, -1, 20, 21, 12, 0, -1, -1, 20, 21, 20, 0, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 22, /* Ascii 78 */
      4, 21, 4, 0, -1, -1, 4, 21, 18, 0, -1, -1, 18, 21, 18, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      21, 22, /* Ascii 79 */
      9, 21, 7, 20, 5, 18, 4, 16, 3, 13, 3, 8, 4, 5, 5, 3, 7, 1, 9, 0, 13, 0, 15,
      1, 17, 3, 18, 5, 19, 8, 19, 13, 18, 16, 17, 18, 15, 20, 13, 21, 9, 21, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      13, 21, /* Ascii 80 */
      4, 21, 4, 0, -1, -1, 4, 21, 13, 21, 16, 20, 17, 19, 18, 17, 18, 14, 17, 12, 16, 11, 13,
      10, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      24, 22, /* Ascii 81 */
      9, 21, 7, 20, 5, 18, 4, 16, 3, 13, 3, 8, 4, 5, 5, 3, 7, 1, 9, 0, 13, 0, 15,
      1, 17, 3, 18, 5, 19, 8, 19, 13, 18, 16, 17, 18, 15, 20, 13, 21, 9, 21, -1, -1, 12, 4,
      18, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      16, 21, /* Ascii 82 */
      4, 21, 4, 0, -1, -1, 4, 21, 13, 21, 16, 20, 17, 19, 18, 17, 18, 15, 17, 13, 16, 12, 13,
      11, 4, 11, -1, -1, 11, 11, 18, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      20, 20, /* Ascii 83 */
      17, 18, 15, 20, 12, 21, 8, 21, 5, 20, 3, 18, 3, 16, 4, 14, 5, 13, 7, 12, 13, 10, 15,
      9, 16, 8, 17, 6, 17, 3, 15, 1, 12, 0, 8, 0, 5, 1, 3, 3, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 16, /* Ascii 84 */
      8, 21, 8, 0, -1, -1, 1, 21, 15, 21, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 22, /* Ascii 85 */
      4, 21, 4, 6, 5, 3, 7, 1, 10, 0, 12, 0, 15, 1, 17, 3, 18, 6, 18, 21, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 18, /* Ascii 86 */
      1, 21, 9, 0, -1, -1, 17, 21, 9, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 24, /* Ascii 87 */
      2, 21, 7, 0, -1, -1, 12, 21, 7, 0, -1, -1, 12, 21, 17, 0, -1, -1, 22, 21, 17, 0, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 20, /* Ascii 88 */
      3, 21, 17, 0, -1, -1, 17, 21, 3, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      6, 18, /* Ascii 89 */
      1, 21, 9, 11, 9, 0, -1, -1, 17, 21, 9, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 20, /* Ascii 90 */
      17, 21, 3, 0, -1, -1, 3, 21, 17, 21, -1, -1, 3, 0, 17, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 14, /* Ascii 91 */
      4, 25, 4, -7, -1, -1, 5, 25, 5, -7, -1, -1, 4, 25, 11, 25, -1, -1, 4, -7, 11, -7, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 14, /* Ascii 92 */
      0, 21, 14, -3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 14, /* Ascii 93 */
      9, 25, 9, -7, -1, -1, 10, 25, 10, -7, -1, -1, 3, 25, 10, 25, -1, -1, 3, -7, 10, -7, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 16, /* Ascii 94 */
      6, 15, 8, 18, 10, 15, -1, -1, 3, 12, 8, 17, 13, 12, -1, -1, 8, 17, 8, 0, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 16, /* Ascii 95 */
      0, -2, 16, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      7, 10, /* Ascii 96 */
      6, 21, 5, 20, 4, 18, 4, 16, 5, 15, 6, 16, 5, 17, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 97 */
      15, 14, 15, 0, -1, -1, 15, 11, 13, 13, 11, 14, 8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4,
      3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 98 */
      4, 21, 4, 0, -1, -1, 4, 11, 6, 13, 8, 14, 11, 14, 13, 13, 15, 11, 16, 8, 16, 6, 15,
      3, 13, 1, 11, 0, 8, 0, 6, 1, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      14, 18, /* Ascii 99 */
      15, 11, 13, 13, 11, 14, 8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4, 3, 6, 1, 8, 0, 11,
      0, 13, 1, 15, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 100 */
      15, 21, 15, 0, -1, -1, 15, 11, 13, 13, 11, 14, 8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4,
      3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 18, /* Ascii 101 */
      3, 8, 15, 8, 15, 10, 14, 12, 13, 13, 11, 14, 8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4,
      3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 12, /* Ascii 102 */
      10, 21, 8, 21, 6, 20, 5, 17, 5, 0, -1, -1, 2, 14, 9, 14, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      22, 19, /* Ascii 103 */
      15, 14, 15, -2, 14, -5, 13, -6, 11, -7, 8, -7, 6, -6, -1, -1, 15, 11, 13, 13, 11, 14, 8,
      14, 6, 13, 4, 11, 3, 8, 3, 6, 4, 3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 19, /* Ascii 104 */
      4, 21, 4, 0, -1, -1, 4, 10, 7, 13, 9, 14, 12, 14, 14, 13, 15, 10, 15, 0, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 8, /* Ascii 105 */
      3, 21, 4, 20, 5, 21, 4, 22, 3, 21, -1, -1, 4, 14, 4, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 10, /* Ascii 106 */
      5, 21, 6, 20, 7, 21, 6, 22, 5, 21, -1, -1, 6, 14, 6, -3, 5, -6, 3, -7, 1, -7, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 17, /* Ascii 107 */
      4, 21, 4, 0, -1, -1, 14, 14, 4, 4, -1, -1, 8, 8, 15, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 8, /* Ascii 108 */
      4, 21, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      18, 30, /* Ascii 109 */
      4, 14, 4, 0, -1, -1, 4, 10, 7, 13, 9, 14, 12, 14, 14, 13, 15, 10, 15, 0, -1, -1, 15,
      10, 18, 13, 20, 14, 23, 14, 25, 13, 26, 10, 26, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 19, /* Ascii 110 */
      4, 14, 4, 0, -1, -1, 4, 10, 7, 13, 9, 14, 12, 14, 14, 13, 15, 10, 15, 0, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 111 */
      8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4, 3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, 16,
      6, 16, 8, 15, 11, 13, 13, 11, 14, 8, 14, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 112 */
      4, 14, 4, -7, -1, -1, 4, 11, 6, 13, 8, 14, 11, 14, 13, 13, 15, 11, 16, 8, 16, 6, 15,
      3, 13, 1, 11, 0, 8, 0, 6, 1, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 19, /* Ascii 113 */
      15, 14, 15, -7, -1, -1, 15, 11, 13, 13, 11, 14, 8, 14, 6, 13, 4, 11, 3, 8, 3, 6, 4,
      3, 6, 1, 8, 0, 11, 0, 13, 1, 15, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 13, /* Ascii 114 */
      4, 14, 4, 0, -1, -1, 4, 8, 5, 11, 7, 13, 9, 14, 12, 14, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      17, 17, /* Ascii 115 */
      14, 11, 13, 13, 10, 14, 7, 14, 4, 13, 3, 11, 4, 9, 6, 8, 11, 7, 13, 6, 14, 4, 14,
      3, 13, 1, 10, 0, 7, 0, 4, 1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 12, /* Ascii 116 */
      5, 21, 5, 4, 6, 1, 8, 0, 10, 0, -1, -1, 2, 14, 9, 14, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      10, 19, /* Ascii 117 */
      4, 14, 4, 4, 5, 1, 7, 0, 10, 0, 12, 1, 15, 4, -1, -1, 15, 14, 15, 0, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 16, /* Ascii 118 */
      2, 14, 8, 0, -1, -1, 14, 14, 8, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      11, 22, /* Ascii 119 */
      3, 14, 7, 0, -1, -1, 11, 14, 7, 0, -1, -1, 11, 14, 15, 0, -1, -1, 19, 14, 15, 0, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      5, 17, /* Ascii 120 */
      3, 14, 14, 0, -1, -1, 14, 14, 3, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      9, 16, /* Ascii 121 */
      2, 14, 8, 0, -1, -1, 14, 14, 8, 0, 6, -4, 4, -6, 2, -7, 1, -7, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      8, 17, /* Ascii 122 */
      14, 14, 3, 0, -1, -1, 3, 14, 14, 14, -1, -1, 3, 0, 14, 0, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      39, 14, /* Ascii 123 */
      9, 25, 7, 24, 6, 23, 5, 21, 5, 19, 6, 17, 7, 16, 8, 14, 8, 12, 6, 10, -1, -1, 7,
      24, 6, 22, 6, 20, 7, 18, 8, 17, 9, 15, 9, 13, 8, 11, 4, 9, 8, 7, 9, 5, 9, 3,
      8, 1, 7, 0, 6, -2, 6, -4, 7, -6, -1, -1, 6, 8, 8, 6, 8, 4, 7, 2, 6, 1, 5,
      -1, 5, -3, 6, -5, 7, -6, 9, -7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      2, 8, /* Ascii 124 */
      4, 25, 4, -7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      39, 14, /* Ascii 125 */
      5, 25, 7, 24, 8, 23, 9, 21, 9, 19, 8, 17, 7, 16, 6, 14, 6, 12, 8, 10, -1, -1, 7,
      24, 8, 22, 8, 20, 7, 18, 6, 17, 5, 15, 5, 13, 6, 11, 10, 9, 6, 7, 5, 5, 5, 3,
      6, 1, 7, 0, 8, -2, 8, -4, 7, -6, -1, -1, 8, 8, 6, 6, 6, 4, 7, 2, 8, 1, 9,
      -1, 9, -3, 8, -5, 7, -6, 5, -7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      23, 24, /* Ascii 126 */
      3, 6, 3, 8, 4, 11, 6, 12, 8, 12, 10, 11, 14, 8, 16, 7, 18, 7, 20, 8, 21, 10, -1,
      -1, 3, 8, 4, 10, 6, 11, 8, 11, 10, 10, 14, 7, 16, 6, 18, 6, 20, 7, 21, 10, 21, 12,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
      -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
     };

  5. #5
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    Belgium
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    Very nice, works like charm. Now slap 2 galvos on the Teensy, add blanking, a cheap laser pointer and you have a laser projector.
    This brings me back some old memories, anybody old enough to remember the Atari arcade game Lunar Lander from 1979?
    Did you see the pcb? Custom made for the game, will run Lunar Lander, nothing else!
    https://www.youtube.com/watch?v=GDA4ieOUKUk

    Now, concerning your question.
    It shouldn't be too hard to convert all the symbols. The hershey file on PaulBourke's site has been hard wrapped and is unfit for parsing.
    Luckily somebody already did all the hard work.
    https://github.com/kamalmostafa/hershey-fonts

    Here you have the hershey font split into categories with the offending line breaks removed.
    https://github.com/kamalmostafa/hers.../hershey-fonts

    Here you have a python script to fix the line breaks in case you need to fix some other hershey font.
    https://github.com/kamalmostafa/hers...-linebreaks.py

    And here is the code for parsing the font. It needs to be adapted to output the vector coordinates to a text file.
    The hershey_jhf_load_glyph() function is where the magic happens.
    https://github.com/kamalmostafa/hers.../hersheyfont.c

  6. #6
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    Join Date
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    Location
    Belgium
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    Quote Originally Posted by zike View Post
    I'd be interested if anyone could help me translate the higher codes, particularly math symbols and greek letters, into similar format; the algorithm sounds straightforward but I don't yet have the skills.
    You can download the converted fonts here:
    https://github.com/neurofun/hershey_font_converter

    In your code replace
    Code:
    # include <hershey_simplex.h>
    by for example
    Code:
    # include "greek.h"

  7. #7
    Magnificent, thank you neurofun!!

    (In the meantime I whipped up a comparable script in Matlab, but that will be useless to most readers here.)

    Re: application at hand, many of the characters have hundreds of vertices; this will challenge the Teensy DAC and scope to keep up without flickering. Let's find the limit...

  8. #8
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    You must be confusing array elements and vertices. Have a look at the bottom the the font header file, it tells you the max number of vertices in a glyph for that file.
    The max number is 153 for a glyph somewhere in the japanese_full.jhf file.

    The problem with glyphs that have more than 127 vertices, is that the array size for that font doubles. Also all the -1 values at the end of the glyph is wasted memory.
    I don't know if it is worth investigating optimising the memory footprint. The hershey_full font barerly fits in the T3.6.
    I guess it depends on the appliction.

  9. #9
    These fonts do look amazing on my scope, it's incredible how Hershey digitized them in such extraordinary detail. That said, I can't see much of practical utility beyond the few Greek and math characters that might come up on a test instrument display; so (for me) it's hardly a priority to further optimize the library.

    Of course, not everything we do here is practical...

    Click image for larger version. 

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    As promised I did some more quantitative testing. I find the T3.5 at 120 MHz, just using analogWrite() and nothing fancy, can update either DAC about every 1.6 Ás. Not clear what limits this; it could likely be improved with some low-level code mojo.

    OTOH, I measure the DAC 10-90% risetime at about 300ns into 15 pF (which is frankly impressive; suggests settling to <1 LSB in 1.2 Ás, consistent with Paul's findings here, and better than Freescale specs). That said, it probably means the DAC update latency could only be reduced a further factor of 2 or so, before transient settling became an issue.

    Using full 12-bit resolution, the "simple" line characters rendered 200mV high (.2/3.3 = 6% of full scale, or ~250 LSB) took about 1.1 ms/character. At this rate, a field of 30 characters (and no other drawing) just starts to visibly flicker at 30 Hz on a typical scope (P30 phosphor).

    However, 12 bits is excessive. Drawing at 10 bits and then blowing up by 4 brings rendering below 250 Ás/letter, with no loss of quality (characters mostly live on a 32 x 32 grid anyway, so even 5 bits would fully retain the shapes). Even the HP 1345A had only 11 addressable bits, and its physical resolution was closer to 1000 lines.

    At 1024x1024, the display is flicker free (50 Hz refresh rate) with 6 lines of medium text , or a few lines of large text. It will even render those fancy Gothic character sets, if you keep the message brief. Lines and shapes also render precisely.

    So to summarize: a Teensy 3.5 out of the box (plus any old analog oscilloscope and two probes) makes a rather good vector text/graphic display!

    Of course I couldn't just leave this without writing the obligatory oscilloscope clock application...

    Click image for larger version. 

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    EDIT: link to youtube video
    Last edited by zike; 12-18-2017 at 03:37 AM.

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