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-rw-r--r--svg-flatten/geom_test.py60
-rw-r--r--svg-flatten/include/geom2d.hpp31
2 files changed, 90 insertions, 1 deletions
diff --git a/svg-flatten/geom_test.py b/svg-flatten/geom_test.py
new file mode 100644
index 0000000..d49b500
--- /dev/null
+++ b/svg-flatten/geom_test.py
@@ -0,0 +1,60 @@
+#!/usr/bin/env python3
+
+from math import *
+
+def calc(mat):
+ [xx, yx], [xy, yy] = mat
+
+ a = xx**2 + xy**2
+ b = xx*yx + xy*yy
+ c = yy**2 + yx**2
+
+ print(f'{a=:.2f} {c=:.2f} {b=:.2f}')
+ tan_2_alpha = 2*b/(a-c)
+ print(f'atan2={atan2(2*b, a-c)/pi:.2f}*pi')
+ #tan_alpha = tan_2_alpha / (1 + sqrt(1 + tan_2_alpha**2)) # FIXME: bounds?
+ cos_2_alpha = 1/sqrt(1 + tan_2_alpha**2)
+ sin_2_alpha = tan_2_alpha / sqrt(1 + tan_2_alpha**2)
+ print(f'tan(2a)={tan_2_alpha:.2f} cos(2a)={cos_2_alpha:.2f} sin(2a)={sin_2_alpha:.2f}')
+ cos_alpha = sqrt((1 + cos_2_alpha)/2)
+ sin_alpha = sqrt((1 - cos_2_alpha)/2)
+ print(f'cos(a)={cos_alpha:.2f} sin(a)={sin_alpha:.2f}')
+
+ for sgn_cos, sgn_sin in [(-1, -1), (-1, 1), (1, -1), (1, 1)]:
+ p = xx * sgn_cos * cos_alpha + yx * sgn_sin * sin_alpha
+ q = xy * sgn_cos * cos_alpha + yy * sgn_sin * sin_alpha
+ dist = hypot(p, q)
+ yield dist
+
+def gen(sx, sy, m, theta):
+ xx = sx * cos(theta)
+ xy = sx * sin(theta)
+ yy = sy * (cos(theta) + m * sin(theta))
+ yx = sy * (m * cos(theta) - sin(theta))
+
+ mat = [xx, yx], [xy, yy]
+ return mat
+
+
+for sx, sy in [
+ (1, 0.9),
+ (1, 1.0),
+ (1, 1.1),
+ (0.9, 1),
+ (1.0, 1),
+ (1.1, 1)]:
+ for m in [0, 0.1, 1, 10]:
+ for theta in [0, pi/8, pi/4, pi/3, pi/2, pi, 3*pi/4]:
+ print(f'{sx=:.1f} {sy=:.1f} {m=:.1f} theta={theta/pi:.2f}*pi |', end=' ')
+ mat = gen(sx, sy, m, theta)
+
+ try:
+ dists = list(calc(mat))
+ str_dists = ' '.join(f'{x:.2f}' for x in dists)
+ print(f'[{str_dists}] | min={min(dists):.2f} max={max(dists):.2f}')
+ except:
+ print('E')
+ break
+ break
+ break
+
diff --git a/svg-flatten/include/geom2d.hpp b/svg-flatten/include/geom2d.hpp
index 47cf3be..9650575 100644
--- a/svg-flatten/include/geom2d.hpp
+++ b/svg-flatten/include/geom2d.hpp
@@ -113,9 +113,38 @@ namespace gerbolyze {
double doc2phys_skew(double dist_doc) {
/* https://math.stackexchange.com/a/3521141 */
+ /* https://stackoverflow.com/a/70381885 */
/* xx yx x0
* xy yy y0 */
- s_x = sqrt();
+ double s_x = sqrt(xx*xx + xy*xy);
+
+ if (xx == 0 && xy == 0) {
+ return std::numeric_limits<double>::infinity;
+ }
+
+ double theta = atan2(xy, xx);
+ double f = (xx*yy - xy*yx);
+
+ if (f == 0) {
+ return std::numeric_limits<double>::infinity;
+ }
+
+ double m = (xx*yx + yy*xy) / f;
+
+ double f = xx + m*xy;
+ double s_y = 0;
+
+ if (f == 0) {
+ f = m*xx - xy;
+ if (f == 0) {
+ return std::numeric_limits<double>::infinity;
+ }
+ s_y = yx*s_x / f;
+ } else {
+ s_y = yy*s_x / f;
+ }
+
+ return s_x - s_y >
}
double doc2phys_min(double dist_doc) {