Values: -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.111111 0.12 0.13 0.16 0.19 0.2 0.21 0.22 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.00001 1.001 1.1 1.2 1.3 1.8 1.9 2.000001 2.001 2.1 2.11 2.2 2.3 2.4 3.1 4 5 6 7 8 9 10 1.16873493792849e-006 1088.99977561893
Squared: 100 81 64 49 36 25 16 9 4 1 0.81 0.64 0.49 0.36 0.25 0.16 0.09 0.04 0.01 0 0.01 0.012345654321 0.0144 0.0169 0.0256 0.0361 0.04 0.0441 0.0484 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1 1.0000200001 1.002001 1.21 1.44 1.69 3.24 3.61 4.000004000001 4.004001 4.41 4.4521 4.84 5.29 5.76 9.61 16 25 36 49 64 81 100 1.36594135513471e-012 1185920.51129808
####
sub xform{
my $v = shift;
my $sgn = $v<=>0;
$v = $v * $sgn;
return $sgn * sqrt( $v ) * 10;
};;
####
-31.6227766016838 -30 -28.2842712474619 -26.4575131106459 -24.4948974278318 -22.3606797749979 -20 -17.3205080756888 -14.142135623731 -10 -9.48683298050514 -8.94427190999916 -8.36660026534076 -7.74596669241483 -7.07106781186548 -6.32455532033676 -5.47722557505166 -4.47213595499958 -3.16227766016838 0 3.16227766016838 3.33333166666625 3.46410161513775 3.60555127546399 4 4.35889894354067 4.47213595499958 4.58257569495584 4.69041575982343 5.47722557505166 6.32455532033676 7.07106781186548 7.74596669241483 8.36660026534076 8.94427190999916 9.48683298050514 10 10.000049999875 10.0049987506246 10.4880884817015 10.9544511501033 11.4017542509914 13.4164078649987 13.7840487520902 14.1421391592644 14.1456707158056 14.4913767461894 14.525839046334 14.8323969741913 15.1657508881031 15.4919333848297 17.606816861659 20 22.3606797749979 24.4948974278318 26.4575131106459 28.2842712474619 30 31.6227766016838 0.0108108044933228 329.999966002866
####
sub xform2{
my $v = shift;
my $sgn = $v<=>0;
$v = $v * $sgn;
my $root3 = exp( log( $v||1e-100 ) / 3 );
return $sgn * $root3 * 100;
}
####
-215.443469003188 -208.00838230519 -200 -191.293118277239 -181.712059283214 -170.99759466767 -158.74010519682 -144.224957030741 -125.992104989487 -100 -96.548938460563 -92.8317766722556 -88.7904001742601 -84.3432665301749 -79.37005259841 -73.6806299728077 -66.943295008217 -58.4803547642573 -46.4158883361278 0 46.4158883361278 48.074969651913 49.3242414866094 50.6579701910089 54.2883523318981 57.4889707894483 58.4803547642573 59.4392195276313 60.3681073679769 66.943295008217 73.6806299728077 79.37005259841 84.3432665301749 88.7904001742601 92.8317766722556 96.548938460563 100 100.000333332222 100.033322228391 103.228011545637 106.265856918261 109.139288306111 121.644039911468 123.856232963017 125.992125988168 126.013100174843 128.057916498749 128.260861238441 130.059144685139 132.000612179591 133.886590016434 145.809973582671 158.74010519682 170.99759466767 181.712059283214 191.293118277239 200 208.00838230519 215.443469003188 1.05334832497567 1028.82757714918