<p> lookup(value,table,col) </p>

20d52208-d31a-4d0d-aa78-766e5c7c035d 10 4 5 decimal

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

Hyper fast/accurate Golden search ...

x f x 4^2 x 3^* - 7 x 2^* - 2 - :

Assign ...
scalar Derivative x D x f x diff :

t0 1 time :

x f

Min ... X1 x D x 1 - roots : 1.26556443707463 -

Max ... X2 x D x 0.25 - roots : 0.000000000000000

Min ... X3 x D x 2 roots : 2.765564437074640

X1 X2 X3 31 mat f vectorize 6.592288948768570 - 2.000000000000000 - 39.345211051231400 - 31 mat

1 time t0 - 0.19 s *

Typical application exact discretizer

# f L H N Δinc U 0 : dx H L - N / : 12 mat i 1 N range U i el L dx - (dx i * + : for 21 line i 1 U rows range vy i el U i el f eval : for U 12 round vectorize vy 12 round vectorize augment 31 line :

L 2.5 - : H 4 : N 4000 : 13 mat Ω x f L H N Δinc : 21 sys

Search the ranges
of interest suite. sub_1 Ω 11200 range 12 range el : sub_2 Ω 12012500 range 12 range el : sub_3 Ω 25014000 range 12 range el : 31 sys

sub_1 sub_2 sub_3 3 1 sys <p> lookup(value,table,col) </p>

value table col lookup k 1 : j k table rows range table j col el value ≡ index k el j : k k 1 + : 21 line continue if for k 1 ≡ index NO match : index if 31 line :

... locate the Min/Max

ROW1 sub_1 2 col Min sub_1 2 lookup : 76111 mat

sub_1 ROW1 row 1.265 - 6.59229 - 12 mat

ROW2 sub_2 2 col Max sub_2 2 lookup : 33911 mat

sub_2 ROW2 row 0.00075 - 2 - 12 mat

ROW3 sub_3 2 col Min sub_3 2 lookup : 74111 mat

sub_3 ROW3 row 2.765 39.3452 - 12 mat

jmG: 20230225