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for ( $i = 0; $i<=360; $i+=15 ) {
    printf "func %3d %5f\tinverted %.1f\n", $i, func($i), afunc( func(
+$i) ), "\n";
}

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sin   0 0.000000    inverted 0.0
sin  15 0.258819    inverted 15.0
...
coth -345 -1.000012    inverted -345.0
coth -360 -1.000007    inverted -360.0