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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Nth-root/Lambdatalk/nth-root.lambdatalk Normal file
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{def root
{def good-enough? {lambda {next guess tol}
{< {abs {- next guess}} tol} }}
{def improve {lambda {guess num deg}
{/ {+ {* {- deg 1} guess}
{/ num {pow guess {- deg 1}}}} deg} }}
{def *root {lambda {guess num deg tol}
{let { {guess guess} {num num} {deg deg} {tol tol}
{next {improve guess num deg}}
} {if {good-enough? next guess tol}
then guess
else {*root next num deg tol}} }}}
{lambda {num deg tol}
{*root 1.0 num deg tol} }}
-> root
{root {pow 2 10} 10 0.1}
-> 2.0473293223683866
{root {pow 2 10} 10 0.01}
-> 2.004632048354822
{root {pow 2 10} 10 0.001}
-> 2.000047868581671