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+EOF

calc/fig-laba2-nachalo.py

@@ -0,0 +1,80 @@
+# -*- coding: utf-8 -*-
+"""
+Лаба 2, рисунок «Начало трассирования»: схема начала трассы от раздельного
+пункта (Lст/2 + запас a + участок не менее 500 м) до вершины угла поворота ВУ
+с тангенсом T и круговой кривой, вписанной в угол поворота.
+Перерисовано векторно вместо низкого разрешения скана методички.
+"""
+import numpy as np
+import matplotlib
+matplotlib.use('Agg')
+import matplotlib.pyplot as plt
+import matplotlib.font_manager as fm
+fm.fontManager.addfont('C:/Windows/Fonts/GOST2304A.ttf')
+matplotlib.rcParams['font.family'] = 'GOST 2.304 type A'
+matplotlib.rcParams['mathtext.default'] = 'regular'
+matplotlib.rcParams['mathtext.fontset'] = 'custom'
+matplotlib.rcParams['mathtext.rm'] = 'GOST 2.304 type A'
+matplotlib.rcParams['mathtext.it'] = 'GOST 2.304 type A'
+
+BLACK = '#111111'
+fig = plt.figure(figsize=(12.8 / 2.54, 6.4 / 2.54), dpi=300)
+ax = fig.add_axes([0, 0, 1, 1])
+ax.set_aspect('equal'); ax.axis('off')
+ax.set_xlim(0, 10.2); ax.set_ylim(-3.1, 2.5)
+
+# --- трасса: прямая до ВУ и следующее направление под углом 35° вниз -------------
+x_vu, phi, T = 7.2, np.radians(50), 1.3
+d = np.array([np.cos(-phi), np.sin(-phi)])
+x_nk = x_vu - T                                   # начало кривой
+p_kk = np.array([x_vu, 0]) + T * d                # конец кривой
+ax.plot([0.8, x_vu], [0, 0], color=BLACK, lw=1.3)
+p_end = np.array([x_vu, 0]) + 1.75 * d
+ax.plot([x_vu, p_end[0]], [0, p_end[1]], color=BLACK, lw=1.3)
+ax.plot(x_vu, 0, marker='+', ms=9, color=BLACK, mew=1.2)
+ax.text(x_vu + 0.12, 0.12, 'ВУ$_1$', fontsize=9, ha='left', va='bottom')
+
+# круговая кривая: R = T / tan(phi/2), центр на перпендикуляре из НК внутрь угла
+R = T / np.tan(phi / 2)
+o = np.array([x_nk, -R])
+t0, t1 = 90, np.degrees(np.arctan2(*(p_kk - o)[::-1]))
+arc = np.radians(np.linspace(t0, t1, 80))
+ax.plot(o[0] + R * np.cos(arc), o[1] + R * np.sin(arc), color=BLACK, lw=1.1,
+        ls=(0, (5, 3)))
+ax.annotate('Круговая кривая,\nвписанная в угол поворота',
+            xy=(o[0] + R * np.cos(np.radians(63)), o[1] + R * np.sin(np.radians(63))),
+            xytext=(6.7, -2.35), fontsize=8, ha='left', va='center',
+            arrowprops=dict(arrowstyle='->', color=BLACK, lw=0.7, shrinkA=2, shrinkB=2))
+
+# --- размерные линии: Lст/2, a, не менее 500 м (под трассой), T (над трассой) ----
+TICK, EXT = 0.08, 0.1
+def tick(x, y):
+    ax.plot([x - TICK, x + TICK], [y - TICK, y + TICK], color=BLACK, lw=1.1,
+            solid_capstyle='butt')
+
+def hdim(x1, x2, y, txt, above=False):
+    for x in (x1, x2):
+        y_end = y + EXT if above else y - EXT
+        ax.plot([x, x], [0, y_end], color=BLACK, lw=0.5, zorder=1)
+        tick(x, y)
+    ax.plot([x1, x2], [y, y], color=BLACK, lw=0.7)
+    ax.annotate('', xy=(x2, y), xytext=(x1, y),
+                arrowprops=dict(arrowstyle='<|-|>', color=BLACK, lw=0.7,
+                                mutation_scale=8, shrinkA=0, shrinkB=0))
+    ax.text((x1 + x2) / 2, y + (0.1 if above else -0.1), txt, fontsize=8,
+            ha='center', va='bottom' if above else 'top')
+
+hdim(0.8, 3.0, -0.7, 'L$_ст$/2')
+hdim(3.0, 4.2, -0.7, 'a')
+hdim(4.2, x_nk, -0.7, 'не менее 500 м')
+hdim(x_nk, x_vu, 0.55, 'T', above=True)
+
+# --- стрелка севера ----------------------------------------------------------------
+cx, cy, r = 1.45, 1.65, 0.42
+ax.add_patch(plt.Circle((cx, cy), r, fill=False, color=BLACK, lw=0.8))
+ax.annotate('', xy=(cx, cy + r * 0.8), xytext=(cx, cy - r * 0.8),
+            arrowprops=dict(arrowstyle='-|>', color=BLACK, lw=0.9, mutation_scale=10,
+                            shrinkA=0, shrinkB=0))
+
+fig.savefig('assets/images/laba2-nachalo-trassirovaniya.png', dpi=300, facecolor='white')
+print('сохранено: assets/images/laba2-nachalo-trassirovaniya.png')

calc/fig-laba2-plan.py

@@ -376,7 +376,7 @@ ax.text(487, ly + 2, 'километровый знак', fontsize=10, va='cente
 # ряд 2
 ax.plot([10, 60], [ly + 26, ly + 26], color='black', lw=0.75)
 ax.text(66, ly + 26, 'горизонталь и её отметка, м', fontsize=10, va='center')
-ax.text(W - 4, ly + 26, 'горизонтали проведены через 10 м; километровая сетка через 500 м; пикеты через 100 м',
+ax.text(W - 4, ly + 26, 'горизонтали проведены через 10 м; координатная сетка через 500 м; пикеты через 100 м',
         fontsize=10, ha='right')
 
 fig.savefig('assets/images/laba2-plan-trassy.png', dpi=200, facecolor='white')