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Task/Euler-method/Futhark/euler-method.futhark
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Task/Euler-method/Futhark/euler-method.futhark
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let analytic(t0: f64) (time: f64): f64 =
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20.0 + (t0 - 20.0) * f64.exp(-0.07*time)
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let cooling(_time: f64) (temperature: f64): f64 =
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-0.07 * (temperature-20.0)
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let main(t0: f64) (a: f64) (b: f64) (h: f64): []f64 =
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let steps = i32.f64 ((b-a)/h)
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let temps = replicate steps 0.0
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let (_,temps) = loop (t,temps)=(t0,temps) for i < steps do
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let x = a + f64.i32 i * h
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let temps[i] = f64.abs(t-analytic t0 x)
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in (t + h * cooling x t,
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temps)
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in temps
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