Roots of a function: Difference between revisions
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In this case, the roots are exact; inexact results are marked by decimal points. |
In this case, the roots are exact; inexact results are marked by decimal points. |
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=={{header|Wren}}== |
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{{trans|Go}} |
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{{libheader|Wren-fmt}} |
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<lang ecmascript>import "/fmt" for Fmt |
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var secant = Fn.new { |f, x0, x1| |
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var f0 = 0 |
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var f1 = f.call(x0) |
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for (i in 0...100) { |
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f0 = f1 |
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f1 = f.call(x1) |
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if (f1 == 0) return [x1, "exact"] |
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if ((x1-x0).abs < 1e-6) return [x1, "approximate"] |
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var t = x0 |
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x0 = x1 |
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x1 = x1-f1*(x1-t)/(f1-f0) |
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} |
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return [0, ""] |
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} |
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var findRoots = Fn.new { |f, lower, upper, step| |
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var x0 = lower |
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var x1 = lower + step |
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while (x0 < upper) { |
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x1 = (x1 < upper) ? x1 : upper |
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var res = secant.call(f, x0, x1) |
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var r = res[0] |
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var status = res[1] |
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if (status != "" && r >= x0 && r < x1) { |
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Fmt.print(" $6.3f $s", r, status) |
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} |
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x0 = x1 |
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x1 = x1 + step |
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} |
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} |
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var example = Fn.new { |x| x*x*x - 3*x*x + 2*x } |
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findRoots.call(example, -0.5, 2.6, 1)</lang> |
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{{out}} |
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<pre> |
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0.000 approximate |
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1.000 exact |
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2.000 approximate |
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</pre> |
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=={{header|zkl}}== |
=={{header|zkl}}== |
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