import base64 import math import pathlib from flask import Flask, render_template, request, Response from html import escape from fontTools.ttLib import TTFont from fontTools.pens.svgPathPen import SVGPathPen app = Flask(__name__) VERSION = "0.83" _LOGO_PATH = pathlib.Path(__file__).parent / 'static' / 'logo.png' _LOGO_B64 = base64.b64encode(_LOGO_PATH.read_bytes()).decode() _FONT_PATH = pathlib.Path('/usr/local/share/fonts/г/ГОСТ_тип_А.ttf') _FONT_B64 = base64.b64encode(_FONT_PATH.read_bytes()).decode() _FONT_FACE = ( '' ) _FONT_OBJ = TTFont(str(_FONT_PATH)) _GLYPH_SET = _FONT_OBJ.getGlyphSet() _CMAP = _FONT_OBJ.getBestCmap() _HMTX = _FONT_OBJ['hmtx'].metrics _UPM = _FONT_OBJ['head'].unitsPerEm _GLYF = _FONT_OBJ['glyf'] # SVG absolute coordinate constants (1 user unit = 1 mm) ZERO_X = 60.844130 MAX_X = 180.251230 BAR_Y = 107.54670 SCALE_LEN = MAX_X - ZERO_X # 119.4071 mm BIG_H = 5.0895 SMALL_H = 2.6683 _UNIT_AREA_WIDTH = 18.445 _UNIT_SCALE_X = 0.96486402 _UNIT_MAX_FS = 18.7981 # --- Inline markup for the unit label ------------------------------------- # Lighter-shorthand notation, rendered with the ГОСТ font (no LaTeX engine): # ^x / ^{...} superscript _x / _{...} subscript # {a/b} stacked fraction (vinculum); a bare '/' stays inline # The `{...}` argument after ^/_ and the two sides of a fraction are parsed # recursively, so constructs nest (e.g. {m/s^2}, x^{1/2}). _SUP_SCALE = 0.62 # size of a super/subscript relative to its base _SUP_RISE = 0.36 # superscript baseline lift, in base ems _SUB_DROP = 0.14 # subscript baseline drop, in base ems _FRAC_SCALE = 0.62 # size of numerator/denominator relative to fraction _FRAC_AXIS = 0.32 # vinculum height above the base baseline, in base ems _FRAC_GAP = 0.14 # gap between numerator/denominator ink and the vinculum _FRAC_SIDE = 0.12 # vinculum overhang past the wider side, in sub ems # Target box for the unit label (absolute panel coords). A marked-up unit is # scaled to fit and centered inside this box, leaving white space around it. # The panel spans y 90.55..117.05; the scale bar starts at x 58.44. _UNIT_BOX_X0, _UNIT_BOX_X1 = 39.6, 57.4 _UNIT_BOX_Y0, _UNIT_BOX_Y1 = 92.8, 114.8 def _glyph_svg(ch: str, x: float, y: float, fs: float, fill: str): """Return (svg_path_or_None, advance_width) for one glyph at size `fs`.""" gn = _CMAP.get(ord(ch)) if gn is None: return None, 0.0 s = fs / _UPM adv = _HMTX.get(gn, (0, 0))[0] * s pen = SVGPathPen(_GLYPH_SET) _GLYPH_SET[gn].draw(pen) d = pen.getCommands() if not d: return None, adv t = f'translate({x:.5f},{y:.5f}) scale({s:.8f},{-s:.8f})' return f'', adv def _glyph_ybounds(ch: str): """(yMin, yMax) of a glyph's ink in em units, y-up. (0, 0) if it has none.""" gn = _CMAP.get(ord(ch)) if gn is None: return 0.0, 0.0 g = _GLYF[gn] if g.numberOfContours == 0: # space and other empty glyphs return 0.0, 0.0 g.recalcBounds(_GLYF) return g.yMin / _UPM, g.yMax / _UPM def _extract_braced(s: str, i: int): """s[i] == '{'; return (inner_text, index_just_after_matching_'}').""" depth, j = 1, i + 1 while j < len(s) and depth: if s[j] == '{': depth += 1 elif s[j] == '}': depth -= 1 if depth == 0: break j += 1 return s[i + 1:j], j + 1 def _parse_braced(inner: str): """A '{...}' group: a top-level '/' makes it a fraction, else a plain run.""" depth = 0 for k, ch in enumerate(inner): if ch == '{': depth += 1 elif ch == '}': depth -= 1 elif ch == '/' and depth == 0: return ('frac', _parse_markup(inner[:k]), _parse_markup(inner[k + 1:])) return ('group', _parse_markup(inner)) def _parse_atom(s: str, i: int): """Argument of ^ or _: a braced group or a single character.""" if i >= len(s): return [], i if s[i] == '{': inner, j = _extract_braced(s, i) return [_parse_braced(inner)], j return [('lit', s[i])], i + 1 def _parse_markup(s: str): """Parse a markup string into a flat list of nodes.""" nodes, i = [], 0 while i < len(s): c = s[i] if c in '^_': atom, i = _parse_atom(s, i + 1) nodes.append(('sup' if c == '^' else 'sub', atom)) elif c == '{': inner, j = _extract_braced(s, i) nodes.append(_parse_braced(inner)) i = j else: nodes.append(('lit', c)) i += 1 return nodes def _measure(nodes, fs: float) -> float: w = 0.0 for n in nodes: if n[0] == 'lit': gn = _CMAP.get(ord(n[1])) if gn: w += _HMTX.get(gn, (0, 0))[0] / _UPM * fs elif n[0] == 'group': w += _measure(n[1], fs) elif n[0] in ('sup', 'sub'): w += _measure(n[1], fs * _SUP_SCALE) elif n[0] == 'frac': fs2 = fs * _FRAC_SCALE w += max(_measure(n[1], fs2), _measure(n[2], fs2)) + 2 * _FRAC_SIDE * fs2 return w def _frac_layout(n, fs: float): """Fraction geometry (offsets relative to the base baseline, y-down). Numerator and denominator are placed so their ink clears the vinculum by `_FRAC_GAP` on each side — using the parts' real ink extents, so the gaps hold whatever glyphs (or nested fractions) they contain. """ fs2 = fs * _FRAC_SCALE axis = -_FRAC_AXIS * fs _, num_bot = _vbounds(n[1], fs2) # numerator ink bottom, baseline-relative num_base = axis - _FRAC_GAP * fs2 - num_bot den_top, _ = _vbounds(n[2], fs2) # denominator ink top, baseline-relative den_base = axis + _FRAC_GAP * fs2 - den_top return fs2, axis, num_base, den_base def _vbounds(nodes, fs: float): """(top, bottom) of the composite ink, baseline-relative, y-down (top < bottom).""" lo, hi = math.inf, -math.inf for n in nodes: if n[0] == 'lit': ymin, ymax = _glyph_ybounds(n[1]) a, b = -ymax * fs, -ymin * fs elif n[0] == 'group': a, b = _vbounds(n[1], fs) elif n[0] == 'sup': a, b = _vbounds(n[1], fs * _SUP_SCALE) a, b = a - _SUP_RISE * fs, b - _SUP_RISE * fs elif n[0] == 'sub': a, b = _vbounds(n[1], fs * _SUP_SCALE) a, b = a + _SUB_DROP * fs, b + _SUB_DROP * fs elif n[0] == 'frac': fs2, axis, num_base, den_base = _frac_layout(n, fs) nt, nb = _vbounds(n[1], fs2) dt, db = _vbounds(n[2], fs2) a = min(nt + num_base, axis) b = max(db + den_base, axis) else: continue lo, hi = min(lo, a), max(hi, b) return (0.0, 0.0) if lo > hi else (lo, hi) def _draw_nodes(nodes, x: float, y: float, fs: float, fill: str): """Return (list_of_svg_parts, total_advance_width). y is the base baseline.""" parts, cx = [], x for n in nodes: if n[0] == 'lit': p, adv = _glyph_svg(n[1], cx, y, fs, fill) if p: parts.append(p) cx += adv elif n[0] == 'group': p, adv = _draw_nodes(n[1], cx, y, fs, fill) parts += p cx += adv elif n[0] in ('sup', 'sub'): fs2 = fs * _SUP_SCALE y2 = y - _SUP_RISE * fs if n[0] == 'sup' else y + _SUB_DROP * fs p, adv = _draw_nodes(n[1], cx, y2, fs2, fill) parts += p cx += adv elif n[0] == 'frac': fs2, axis, num_base, den_base = _frac_layout(n, fs) wn, wd = _measure(n[1], fs2), _measure(n[2], fs2) bar_w = max(wn, wd) + 2 * _FRAC_SIDE * fs2 pn, _ = _draw_nodes(n[1], cx + (bar_w - wn) / 2, y + num_base, fs2, fill) pd, _ = _draw_nodes(n[2], cx + (bar_w - wd) / 2, y + den_base, fs2, fill) parts += pn + pd ay = y + axis parts.append( f'' ) cx += bar_w return parts, cx - x def _has_markup(s: str) -> bool: return any(c in s for c in '^_') or ('{' in s and '}' in s) def _markup_unit_svg(unit: str, fill='#1a1a1a') -> str: """Render a marked-up unit, scaled to fit and centered in the unit box.""" nodes = _parse_markup(unit) x0, x1, y0, y1 = _UNIT_BOX_X0, _UNIT_BOX_X1, _UNIT_BOX_Y0, _UNIT_BOX_Y1 xc, yc = (x0 + x1) / 2, (y0 + y1) / 2 # Fit to the box in both axes (width is horizontally condensed by SCALE_X). w1 = _measure(nodes, 1.0) top1, bot1 = _vbounds(nodes, 1.0) fs = _UNIT_MAX_FS if w1 > 0: fs = min(fs, (x1 - x0) / (w1 * _UNIT_SCALE_X)) if bot1 - top1 > 0: fs = min(fs, (y1 - y0) / (bot1 - top1)) # Center: baseline placed so the ink box's mid-height lands on yc; glyphs # drawn from a natural left edge, then condensed horizontally about xc. w = _measure(nodes, fs) top, bot = _vbounds(nodes, fs) y_base = yc - (top + bot) / 2 parts, _ = _draw_nodes(nodes, xc - w / 2, y_base, fs, fill) cond = f'translate({xc:.5f},0) scale({_UNIT_SCALE_X},1) translate({-xc:.5f},0)' return f'\n{chr(10).join(parts)}\n' def _text_em_width(text: str) -> float: """Advance width of `text` in em units, from the font's own metrics.""" return sum( _HMTX.get(_CMAP.get(ord(ch)), (0, 0))[0] for ch in text if _CMAP.get(ord(ch)) ) / _UPM def _unit_font_size(unit: str) -> float: # Fit the unit's true rendered width (measuring the parsed markup, so # super/subscripts and fractions are accounted for) into the available # area. Rendered width at a given size is em_width * font_size * scale_x. em_w = _measure(_parse_markup(unit), 1.0) if em_w <= 0: return _UNIT_MAX_FS return min(_UNIT_MAX_FS, _UNIT_AREA_WIDTH / (em_w * _UNIT_SCALE_X)) def _fmt(v: float) -> str: if math.isinf(v): return '∞' # Snap near-integers — log-scale geometric values accumulate FP error # (e.g. 9999.9999), which would otherwise miss the integer case. r = round(v) if abs(v - r) < 1e-9 * max(1.0, abs(v)): return str(int(r)) # 4 significant figures in fixed-point notation (never scientific). exp = math.floor(math.log10(abs(v))) decimals = max(0, 4 - 1 - exp) s = f"{v:.{decimals}f}" return s.rstrip('0').rstrip('.') if '.' in s else s def _text_to_paths(text, x, y, font_size, anchor='start', fill='#1a1a1a', wrap_transform=None): s = font_size / _UPM if anchor == 'middle': total_w = sum( _HMTX.get(_CMAP.get(ord(ch)), (0, 0))[0] * s for ch in text if _CMAP.get(ord(ch)) ) x -= total_w / 2 parts = [] cx = x for ch in text: gn = _CMAP.get(ord(ch)) if gn is None: continue pen = SVGPathPen(_GLYPH_SET) _GLYPH_SET[gn].draw(pen) d = pen.getCommands() if d: t = f'translate({cx:.5f},{y:.5f}) scale({s:.8f},{-s:.8f})' parts.append(f'') cx += _HMTX.get(gn, (0, 0))[0] * s inner = '\n'.join(parts) if wrap_transform: return f'{inner}' return inner def generate_svg(unit, min_val, max_val, range_label, big_ticks, small_ticks, label_count, use_paths=True, scale_type='linear', custom_labels=None, label_size=9): if scale_type == 'log': if min_val <= 0 or max_val <= 0: raise ValueError("Logarithmic scale requires min and max values greater than 0.") lmin, lmax = math.log(min_val), math.log(max_val) lspan = lmax - lmin if lspan == 0: raise ValueError("Logarithmic scale requires min and max values to differ.") def value_to_x(v): return ZERO_X + SCALE_LEN * (math.log(v) - lmin) / lspan def major_value(i): return min_val * (max_val / min_val) ** (i / big_ticks) elif scale_type == 'sqrt': if min_val < 0: raise ValueError("Square-root scale requires min value ≥ 0.") span = max_val - min_val if span <= 0: raise ValueError("Square-root scale requires max value greater than min.") def value_to_x(v): return ZERO_X + SCALE_LEN * math.sqrt((v - min_val) / span) def major_value(i): return min_val + span * (i / big_ticks) ** 2 elif scale_type == 'reciprocal': if min_val <= 0: raise ValueError("Reciprocal scale requires min and max values greater than 0.") if not math.isinf(max_val) and max_val <= min_val: raise ValueError("Reciprocal scale requires max value greater than min.") if math.isinf(max_val): # Simplified form when max = ∞: x = ZERO_X + SCALE_LEN * min_val / v def value_to_x(v): if math.isinf(v): return ZERO_X return ZERO_X + SCALE_LEN * min_val / v def major_value(i): if i == 0: return math.inf return min_val * big_ticks / i else: if max_val <= 0: raise ValueError("Reciprocal scale requires min and max values greater than 0.") k = 1.0 / min_val - 1.0 / max_val # always positive def value_to_x(v): return ZERO_X + SCALE_LEN * (1.0 / v - 1.0 / max_val) / k def major_value(i): return 1.0 / (1.0 / max_val + i / big_ticks * k) else: span = max_val - min_val def value_to_x(v): if span == 0: return ZERO_X return ZERO_X + SCALE_LEN * (v - min_val) / span def major_value(i): return min_val + span * i / big_ticks big_interval = SCALE_LEN / big_ticks # Major ticks are always physically evenly spaced; only their values differ. big_xs = [ZERO_X + i * big_interval for i in range(big_ticks + 1)] big_vals = [major_value(i) for i in range(big_ticks + 1)] # Custom labels, when supplied, override the calculated numbers and set the count. if custom_labels: label_count = max(1, min(len(custom_labels), big_ticks + 1)) custom_labels = custom_labels[:label_count] else: label_count = max(2, min(label_count, big_ticks + 1)) if label_count == 1: label_indices = [0] else: label_indices = [round(k * big_ticks / (label_count - 1)) for k in range(label_count)] parts = [ '', '', ] if use_paths: parts.append(' ') else: parts += [_FONT_FACE, ' '] parts.append( ' ' ) # A unit with markup (super/subscripts, fractions) is a composite of glyph # paths + a rule, so it can't be a single node — render it as paths, # scaled to fit and centered in the unit box, in both modes. A plain unit # keeps the original baseline-anchored text/paths behaviour. if _has_markup(unit): unit_svg = ' ' + _markup_unit_svg(unit) elif use_paths: unit_svg = ' ' + _text_to_paths( unit, 41.455711, 109.03796, _unit_font_size(unit), wrap_transform=f'scale({_UNIT_SCALE_X},1.0364155)' ) else: fs = _unit_font_size(unit) unit_svg = ( f' {escape(unit)}' ) if use_paths: parts += [unit_svg, ' ' + _text_to_paths(range_label, 184.79707, 113.6755, 3.60539)] else: parts += [ unit_svg, f' {escape(range_label)}', ] # Major ticks for x in big_xs: parts.append( f' ' ) # Minor ticks — placement depends on scale type: # linear: uniform physical spacing (= uniform value spacing) # log: linear value interpolation between geometric major values # (crowds toward high end of each interval) # sqrt: sqrt of fractional position within each interval, giving # consistent high-end crowding across all intervals; using # value interpolation instead would concentrate the crowding # only near zero (where sqrt is steepest) and look linear elsewhere. if small_ticks > 0: sub = small_ticks + 1 for i in range(big_ticks): for j in range(1, small_ticks + 1): if scale_type == 'sqrt': x = big_xs[i] + (j / sub) ** 2 * (big_xs[i + 1] - big_xs[i]) elif math.isinf(big_vals[i]): # First interval with ∞ at the left: interpolate in position space # (linear value interpolation is undefined from ∞). x = big_xs[i] + (j / sub) * (big_xs[i + 1] - big_xs[i]) else: v = big_vals[i] + j * (big_vals[i + 1] - big_vals[i]) / sub x = value_to_x(v) parts.append( f' ' ) # Numeric labels for k, idx in enumerate(label_indices): x = big_xs[idx] label = custom_labels[k] if custom_labels else _fmt(big_vals[idx]) if use_paths: parts.append(' ' + _text_to_paths(label, x, 101.49598, label_size, anchor='middle')) else: parts.append( f' {escape(label)}' ) parts += [' ', ''] return '\n'.join(parts) @app.route('/') def index(): return render_template('index.html', logo_b64=_LOGO_B64, version=VERSION) @app.route('/generate', methods=['POST']) def generate(): unit = request.form.get('unit', '%') min_val = float(request.form.get('min', 0)) max_val = float(request.form.get('max', 100)) range_label = request.form.get('range_label', '5mA') big_ticks = max(1, min(50, int(request.form.get('big_ticks', 10)))) small_ticks = max(0, min(20, int(request.form.get('small_ticks', 4)))) label_count = max(2, int(request.form.get('label_count', 6))) use_paths = request.form.get('output_mode', 'paths') == 'paths' scale_type = request.form.get('scale_type', 'linear') if request.form.get('max_is_inf') == '1': max_val = math.inf custom_labels = [s.strip() for s in request.form.get('labels', '').split(',') if s.strip()] or None label_size = max(0.5, min(25.0, float(request.form.get('label_size', 9)))) try: svg = generate_svg(unit, min_val, max_val, range_label, big_ticks, small_ticks, label_count, use_paths, scale_type, custom_labels, label_size) except ValueError as err: return Response(str(err), status=400, mimetype='text/plain') return Response(svg, mimetype='image/svg+xml') if __name__ == '__main__': app.run(debug=True)