Wind speed and angles linear interpolation

weather.json

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"wind_speed":5.3}},"next_12_hours":{"summary":{"symbol_code":"cloudy"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-29T00:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":987.5,"air_temperature":-1.3,"cloud_area_fraction":100.0,"relative_humidity":80.3,"wind_from_direction":144.3,"wind_speed":4.9}},"next_12_hours":{"summary":{"symbol_code":"cloudy"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-29T06:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":991.8,"air_temperature":-2.6,"cloud_area_fraction":96.5,"relative_humidity":78.7,"wind_from_direction":146.7,"wind_speed":4.2}},"next_12_hours":{"summary":{"symbol_code":"cloudy"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-29T12:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":987.1,"air_temperature":-0.1,"cloud_area_fraction":100.0,"relative_humidity":82.2,"wind_from_direction":148.9,"wind_speed":5.2}},"next_12_hours":{"summary":{"symbol_code":"snow"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-29T18:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":988.7,"air_temperature":-0.2,"cloud_area_fraction":100.0,"relative_humidity":83.2,"wind_from_direction":146.2,"wind_speed":5.3}},"next_12_hours":{"summary":{"symbol_code":"snow"}},"next_6_hours":{"summary":{"symbol_code":"heavysnow"},"details":{"precipitation_amount":5.2}}}},{"time":"2022-12-30T00:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":989.9,"air_temperature":-0.2,"cloud_area_fraction":100.0,"relative_humidity":84.8,"wind_from_direction":194.2,"wind_speed":3.7}},"next_12_hours":{"summary":{"symbol_code":"lightsnow"}},"next_6_hours":{"summary":{"symbol_code":"snow"},"details":{"precipitation_amount":2.0}}}},{"time":"2022-12-30T06:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":994.7,"air_temperature":-0.5,"cloud_area_fraction":100.0,"relative_humidity":82.9,"wind_from_direction":211.3,"wind_speed":5.2}},"next_12_hours":{"summary":{"symbol_code":"cloudy"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-30T12:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":994.1,"air_temperature":-0.1,"cloud_area_fraction":90.6,"relative_humidity":79.7,"wind_from_direction":146.8,"wind_speed":4.3}},"next_12_hours":{"summary":{"symbol_code":"lightsnow"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-30T18:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":990.7,"air_temperature":-1.1,"cloud_area_fraction":100.0,"relative_humidity":83.4,"wind_from_direction":155.6,"wind_speed":4.8}},"next_12_hours":{"summary":{"symbol_code":"snow"}},"next_6_hours":{"summary":{"symbol_code":"snow"},"details":{"precipitation_amount":1.4}}}},{"time":"2022-12-31T00:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":990.4,"air_temperature":0.0,"cloud_area_fraction":100.0,"relative_humidity":83.1,"wind_from_direction":228.9,"wind_speed":5.2}},"next_12_hours":{"summary":{"symbol_code":"lightsnow"}},"next_6_hours":{"summary":{"symbol_code":"snow"},"details":{"precipitation_amount":1.6}}}},{"time":"2022-12-31T06:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":994.0,"air_temperature":0.0,"cloud_area_fraction":100.0,"relative_humidity":85.0,"wind_from_direction":229.8,"wind_speed":4.2}},"next_12_hours":{"summary":{"symbol_code":"lightsnow"}},"next_6_hours":{"summary":{"symbol_code":"cloudy"},"details":{"precipitation_amount":0.0}}}},{"time":"2022-12-31T12:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":996.8,"air_temperature":0.0,"cloud_area_fraction":100.0,"relative_humidity":83.3,"wind_from_direction":149.8,"wind_speed":4.6}},"next_6_hours":{"summary":{"symbol_code":"snow"},"details":{"precipitation_amount":1.6}}}},{"time":"2022-12-31T18:00:00Z","data":{"instant":{"details":{"air_pressure_at_sea_level":998.9,"air_temperature":0.7,"cloud_area_fraction":100.0,"relative_humidity":87.0,"wind_from_direction":231.8,"wind_speed":5.5}}}}]}}

weather_wind_interpolation.nim

import ggplotnim, unchained, sequtils, numericalnim, ginger
import std / [json, times, math]

# Weather data from:
# https://api.met.no/weatherapi/locationforecast/2.0/#!/data/get_compact
# for altitude: 100
# and lat/long: 69.6899724,18.9276432

proc toCartesian(winds: seq[m•s⁻¹], angles: seq[Degree]): (seq[float], seq[float]) =
  # treat (wind, angle) as polar coordinates and convert to cartesian
  result[0] = newSeq[float](winds.len)
  result[1] = newSeq[float](winds.len)
  for i in 0 ..< winds.len:
    result[0][i] = winds[i].float * cos(angles[i].to(Radian).float)
    result[1][i] = winds[i].float * sin(angles[i].to(Radian).float)

proc toPolar(xs, ys: seq[float]): (seq[m•s⁻¹], seq[Degree]) =
  # convert our cartesian back to (wind, angle) pairs
  result[0] = newSeq[m•s⁻¹](xs.len)
  result[1] = newSeq[Degree](xs.len)
  for i in 0 ..< result[0].len:
    let
      x = xs[i]
      y = ys[i]
    result[0][i] = sqrt( x*x + y*y ).m•s⁻¹
    let deg = arctan2(y, x).Radian.to(Degree)
    if deg < 0.0: # fix up mismatch between arctan return in -π to π -> 0 to 2π
      result[1][i] = 360.° + deg
    else:
      result[1][i] = deg

proc plotWind(winds, wFine: seq[m•s⁻¹], angles, aFine: seq[Degree],
              ts, tgrid: seq[float]) =
  # remove units, ggplotnim currently no support yet :(
  proc stripUnits[T](s: seq[T]): seq[float] = s.mapIt(it.float)
  # DF for the original data
  let df = toDf({ "time" : ts,
                  "wind" : winds.stripUnits(),
                  "angles" : angles.stripUnits() })
  # DF for the interpolated data
  let dfF = toDf({ "time" : tgrid,
                   "wind" : wFine.stripUnits(),
                   "angles" : aFine.stripUnits() })
  # first plot: time against wind, colored by angle
  ggplot(df, aes("time", "wind", color = "angles")) +
    geom_point() + # original as points
    geom_line(data = dfF) + # draw interpolated as a line
    scale_x_date(isTimestamp = true,
                 formatString = "YYYY-MM-dd HH:mm",
                 dateSpacing = initDuration(days = 1),
                 dateAlgo = dtaAddDuration) +
    xlab("time", margin = 3.0, rotate = -45.0, alignTo = "right") +
    margin(bottom = 3.5) +
    ggsave("/tmp/weather_wind.pdf", width = 800, height = 600)
  # second plot: time against angles, colored by wind
  ggplot(df, aes("time", "angles", color = "wind")) +
    geom_point() +
    geom_line(data = dfF) +
    scale_x_date(isTimestamp = true,
                 formatString = "YYYY-MM-dd HH:mm",
                 dateSpacing = initDuration(days = 1),
                 dateAlgo = dtaAddDuration) +
    xlab("time", margin = 3.0, rotate = -45.0, alignTo = "right") +
    margin(bottom = 3.5) +
    ggsave("/tmp/weather_angles.pdf", width = 800, height = 600)

# parse all data
let data = parseJson(readFile("/tmp/weather.json"))
let ar = data["properties"]["timeseries"]
var t = newSeq[float]()
var winds = newSeq[m•s⁻¹]()
var angles = newSeq[Degree]()
for x in ar:
  let el = x["time"].getStr.parseTime("YYYY-MM-dd'T'HH:mm:ss'Z'", local()).toUnix.float
  t.add el
  echo x
  winds.add x["data"]["instant"]["details"]["wind_speed"].getFloat.m•s⁻¹
  angles.add x["data"]["instant"]["details"]["wind_from_direction"].getFloat.°


# convert wind & angle data to polar
let (xs, ys) = toCartesian(winds, angles)
# interpolate each independently using 1D
let xInterp = newLinear1D(t, xs)
let yInterp = newLinear1D(t, ys)
# on a 1000 element time grid
let tgrid = linspace(t[0], t[^1], 1000)
# do actual interpolation
let xfine = tgrid.mapIt(xInterp.eval(it))
let yfine = tgrid.mapIt(yInterp.eval(it))
# and back to polar
let (wFine, aFine) = toPolar(xfine, yfine)
# plot it
plotWind(winds, wFine, angles, aFine, t, tgrid)

Why is gist too stupid to keep the files in at the top in the order I want?