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use crate::{
error::{AnalysisError, Result},
sounding::{DataRow, Sounding},
};
use itertools::{izip, Itertools};
use metfor::{HectoPascal, Knots, Quantity, WindSpdDir, WindUV};
use optional::Optioned;
use std::ops::Sub;
pub fn linear_interpolate_sounding(snd: &Sounding, tgt_p: HectoPascal) -> Result<DataRow> {
let pressure: &[Optioned<HectoPascal>] = snd.pressure_profile();
enum BracketType {
Bracket(usize, usize),
EndEquals(usize),
}
let make_bracket = |pnt_0, pnt_1| -> Option<BracketType> {
let (i0, p0): (_, HectoPascal) = pnt_0;
let (i1, p1): (_, HectoPascal) = pnt_1;
debug_assert!(p0 >= p1);
if p0 > tgt_p && p1 < tgt_p {
Some(BracketType::Bracket(i0, i1))
} else if (p0 - tgt_p).unpack().abs() < std::f64::EPSILON {
Some(BracketType::EndEquals(i0))
} else if (p1 - tgt_p).unpack().abs() < std::f64::EPSILON {
Some(BracketType::EndEquals(i1))
} else {
None
}
};
pressure
.iter()
.enumerate()
.filter_map(|(i, p_val_opt)| p_val_opt.map(|p_val| (i, p_val)))
.tuple_windows::<(_, _)>()
.filter_map(|(pnt_0, pnt_1)| make_bracket(pnt_0, pnt_1))
.next()
.and_then(|bracket| match bracket {
BracketType::Bracket(i0, i1) => {
let row0 = snd.data_row(i0)?;
let row1 = snd.data_row(i1)?;
linear_interp_data_rows(row0, row1, tgt_p)
}
BracketType::EndEquals(i) => snd.data_row(i),
})
.ok_or(AnalysisError::InterpolationError)
}
#[inline]
pub fn linear_interpolate<X, Y>(xs: &[Optioned<X>], ys: &[Optioned<Y>], target_x: X) -> Optioned<Y>
where
X: Quantity + optional::Noned + PartialOrd + Sub<X>,
<X as Sub<X>>::Output: Quantity + optional::Noned,
Y: Quantity + optional::Noned + Sub<Y>,
<Y as Sub<Y>>::Output: Quantity,
{
debug_assert_eq!(xs.len(), ys.len());
enum BracketType<X, Y> {
Bracket((X, Y), (X, Y)),
EndEqual((X, Y)),
}
let make_bracket = |pnt_0, pnt_1| -> Option<BracketType<X, Y>> {
let (x0, _) = pnt_0;
let (x1, _) = pnt_1;
if (x0 < target_x && x1 > target_x) || (x0 > target_x && x1 < target_x) {
Some(BracketType::Bracket(pnt_0, pnt_1))
} else if (x0 - target_x).unpack().abs() < std::f64::EPSILON {
Some(BracketType::EndEqual(pnt_0))
} else if (x1 - target_x).unpack().abs() < std::f64::EPSILON {
Some(BracketType::EndEqual(pnt_1))
} else {
None
}
};
let value_opt = izip!(xs, ys)
.filter(|(x, y)| x.is_some() && y.is_some())
.map(|(x, y)| (x.unpack(), y.unpack()))
.tuple_windows::<(_, _)>()
.filter_map(|(pnt_0, pnt_1)| make_bracket(pnt_0, pnt_1))
.next()
.map(|val| match val {
BracketType::Bracket(pnt_0, pnt_1) => {
let (x0, y0) = pnt_0;
let (x1, y1) = pnt_1;
linear_interp(target_x, x0, x1, y0, y1)
}
BracketType::EndEqual(pnt) => pnt.1,
});
Optioned::from(value_opt)
}
#[inline]
pub(crate) fn linear_interp<X, Y>(x_val: X, x1: X, x2: X, y1: Y, y2: Y) -> Y
where
X: Sub<X> + Copy + std::fmt::Debug + std::cmp::PartialEq,
<X as Sub<X>>::Output: Quantity,
Y: Quantity + Sub<Y>,
<Y as Sub<Y>>::Output: Quantity,
{
debug_assert_ne!(x1, x2);
let run = (x2 - x1).unpack();
let rise = (y2 - y1).unpack();
let dx = (x_val - x1).unpack();
Y::pack(y1.unpack() + dx * (rise / run))
}
#[inline]
fn linear_interp_data_rows(row0: DataRow, row1: DataRow, tgt_p: HectoPascal) -> Option<DataRow> {
let p0 = row0.pressure.into_option()?;
let p1 = row1.pressure.into_option()?;
let run = p1 - p0;
let dp = tgt_p - p0;
let pressure = Optioned::from(tgt_p);
let temperature = eval_linear_interp(row0.temperature, row1.temperature, run, dp);
let wet_bulb = eval_linear_interp(row0.wet_bulb, row1.wet_bulb, run, dp);
let dew_point = eval_linear_interp(row0.dew_point, row1.dew_point, run, dp);
let theta_e = eval_linear_interp(row0.theta_e, row1.theta_e, run, dp);
let wind = if let (Some(w_below), Some(w_above)) =
(row0.wind.into_option(), row1.wind.into_option())
{
let WindUV::<Knots> {
u: x_below,
v: y_below,
} = WindUV::from(w_below);
let WindUV::<Knots> {
u: x_above,
v: y_above,
} = WindUV::from(w_above);
let dp = dp.unpack();
let run = run.unpack();
let rise_x = x_above - x_below;
let rise_y = y_above - y_below;
let x = x_below + rise_x * (dp / run);
let y = y_below + rise_y * (dp / run);
let interped_wind = WindSpdDir::from(WindUV { u: x, v: y });
Into::<Optioned<WindSpdDir<Knots>>>::into(interped_wind)
} else {
optional::Optioned::none()
};
let pvv = eval_linear_interp(row0.pvv, row1.pvv, run, dp);
let height = eval_linear_interp(row0.height, row1.height, run, dp);
let cloud_fraction = eval_linear_interp(row0.cloud_fraction, row1.cloud_fraction, run, dp);
let result = DataRow {
pressure,
temperature,
wet_bulb,
dew_point,
theta_e,
wind,
pvv,
height,
cloud_fraction,
};
Some(result)
}
#[inline]
fn eval_linear_interp<QX, Y>(
low_val: Optioned<Y>,
high_val: Optioned<Y>,
run: QX,
dp: QX,
) -> Optioned<Y>
where
QX: Quantity + optional::Noned,
Y: Quantity + optional::Noned,
{
if low_val.is_some() && high_val.is_some() {
let (val_below, val_above) = (low_val.unpack().unpack(), high_val.unpack().unpack());
let rise: f64 = (val_above - val_below).unpack();
let run: f64 = run.unpack();
let dp: f64 = dp.unpack();
Optioned::from(Y::pack(val_below + dp * rise / run))
} else {
Optioned::default()
}
}