<p> Contour utilities </p>

60949cc5-42d1-44d8-a89b-76aa988e393e 12 3 5 auto

&[DATE] &[TIME] - &[FILENAME]

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + (range U i el L dx i * dx - (+ : for U 41 line :

M Unwrap V M 1 col : i 2 M cols range V V M i col stack : for V 31 line :

t0 1 time :

M Low High Scale High Low - (M M Min - M Max M Min - 106 -^+ / (* Low + :

Generate the symmetric square [U,V] matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

The contour extractor , pair wise in X direction M ε level CONTR count 1 : i 1 M rows range j 1 M cols range M i j el level - abs ε ≤ u count el i : v count el j : 21 line count count 1 + : if for for u v augment 31 line :

data Strip2 nest striped in 'R' u data 1 col : v data 2 col : k 0 : i 1 data rows range u i el v i el * 0 ≠ R k k 1 + : el u i el v i el 12 mat : 11 line Undefined if 11 line for 21 line Un-nest R v R 1 el : j 2 R rows range v v R j el stack : for v 81 line :

Explore an hypersurface

c 1 :

~ 9 min

An hypersurface, picewise composition_1 2 c * y * 3 x 2^* y 2^* y 4^- c 2^x 2^y 2^+ (* - 4 c 4^* + (* x cos * y sinh * :_2 2 c * y * x 4^3 y 2^* x 2^* - c 2^x 2^y 2^+ (* - 4 c 4^* - (* x sin * y cosh * :_3 x y * x 2^y 2^+ (y 2^x 2^- 2 c 2^* + (* (* 2 c * sin * : x y f_1_2 +_3 + : 41 sys

λ 1.414214 :

L λ - : H λ : N 99 : 13 mat

U L H N xd :

V U :

M x y f U V Sym :

M M :

1 time t0 - min 1.5

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 M

level_0 0 : level_1 1 : level_2 2 : 13 mat

y x f0 x y f level_0 + : y x f1 x y f level_1 + : y x f2 x y f level_2 + : 31 sys

f0 f1 f2 3 1 sys

1 time t0 - min 5.1

0 & nth level contour [Tom G.]

level 1.125 : ε 0.001 : 12 mat

Bolean region x c level - ε + x ≤ (x level ε - ≤ (* :

N M c M * vectorize :

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1 time t0 - min 5.5

level 1 : ε 0.05 : 12 mat Q M ε level CONTR : XY Q Strip2 : (Export the project ≡ 31 line

re-center the system Xlevel XY 1 col XY rows 2 / - : Ylevel XY 2 col XY rows 2 / - : XYlevel Xlevel Ylevel augment : Next extract/digitize ≡ 41 line

XYlevel

1 time t0 - min 9