feat: polish & windviz & deploy

internal/weather/gfs/wind.go

@@ -8,39 +8,40 @@ import (
 )
 
 // Wind is a WindField backed by a GFS dataset file.
+//
+// The cube is addressed in flat element units with fixed strides so the
+// sampler can compute the eight horizontal interpolation corners once and
+// reach any (level, variable) by adding constant strides — avoiding the
+// five-multiply offset computation per corner per evaluation.
 type Wind struct {
 	file *File
 
 	hourAxis numerics.Axis
 	latAxis  numerics.Axis
 	lngAxis  numerics.Axis
+
+	hourStride  int64 // elements between successive hours
+	levelStride int64 // elements between successive pressure levels
+	varStride   int64 // elements between successive variables
+	latStride   int64 // elements between successive latitudes
 }
 
-// NewWind returns a Wind backed by file. The axes are constructed from the
-// file's variant geometry.
+// NewWind returns a Wind backed by file. Axes and strides are derived from
+// the file's variant geometry.
 func NewWind(file *File) *Wind {
 	v := file.variant
+	nLat := v.NumLatitudes()
+	nLng := v.NumLongitudes()
+	nLev := v.NumLevels()
 	return &Wind{
-		file: file,
-		hourAxis: numerics.Axis{
-			Left: 0,
-			Step: float64(v.HourStep),
-			N:    v.NumHours(),
-			Name: "hour",
-		},
-		latAxis: numerics.Axis{
-			Left: LatStart,
-			Step: v.Resolution,
-			N:    v.NumLatitudes(),
-			Name: "lat",
-		},
-		lngAxis: numerics.Axis{
-			Left: LonStart,
-			Step: v.Resolution,
-			N:    v.NumLongitudes(),
-			Wrap: true,
-			Name: "lng",
-		},
+		file:        file,
+		hourAxis:    numerics.Axis{Left: 0, Step: float64(v.HourStep), N: v.NumHours(), Name: "hour"},
+		latAxis:     numerics.Axis{Left: LatStart, Step: v.Resolution, N: nLat, Name: "lat"},
+		lngAxis:     numerics.Axis{Left: LonStart, Step: v.Resolution, N: nLng, Wrap: true, Name: "lng"},
+		hourStride:  int64(nLev) * NumVariables * int64(nLat) * int64(nLng),
+		levelStride: NumVariables * int64(nLat) * int64(nLng),
+		varStride:   int64(nLat) * int64(nLng),
+		latStride:   int64(nLng),
 	}
 }
 
@@ -72,38 +73,53 @@ func (w *Wind) Wind(t, lat, lng, alt float64) (weather.Sample, error) {
 	if err != nil {
 		return weather.Sample{}, err
 	}
-	bs := [3]numerics.Bracket{bh, bla, bln}
 
-	height := func(level int) func(i, j, k int) float64 {
-		return func(i, j, k int) float64 {
-			return float64(w.file.Val(i, level, VarHeight, j, k))
+	weights := numerics.TrilinearWeights([3]numerics.Bracket{bh, bla, bln})
+
+	// Flat element index of each of the eight horizontal corners, at level 0
+	// variable 0, in the canonical TrilinearWeights order (hour outer, lng
+	// inner). Reaching a given (level, variable) corner only adds constant
+	// strides.
+	var base [8]int64
+	hours2 := [2]int64{int64(bh.Lo) * w.hourStride, int64(bh.Hi) * w.hourStride}
+	lats2 := [2]int64{int64(bla.Lo) * w.latStride, int64(bla.Hi) * w.latStride}
+	lngs2 := [2]int64{int64(bln.Lo), int64(bln.Hi)}
+	i := 0
+	for _, h := range hours2 {
+		for _, la := range lats2 {
+			for _, ln := range lngs2 {
+				base[i] = h + la + ln
+				i++
+			}
 		}
 	}
 
+	sample := func(level int, varIdx int64) float64 {
+		off := int64(level)*w.levelStride + varIdx*w.varStride
+		var vals [8]float64
+		for k := range 8 {
+			vals[k] = float64(w.file.ValByElem(base[k] + off))
+		}
+		return numerics.Dot8(&weights, &vals)
+	}
+
+	// Largest pressure level whose interpolated geopotential height is below alt.
 	levelIdx := numerics.Bisect(0, w.file.variant.NumLevels()-2, alt, func(level int) float64 {
-		return numerics.EvalTrilinear(bs, height(level))
+		return sample(level, VarHeight)
 	})
 
-	lowerHGT := numerics.EvalTrilinear(bs, height(levelIdx))
-	upperHGT := numerics.EvalTrilinear(bs, height(levelIdx+1))
+	lowerHGT := sample(levelIdx, VarHeight)
+	upperHGT := sample(levelIdx+1, VarHeight)
 
-	var altFrac float64
+	altFrac := 0.5
 	if lowerHGT != upperHGT {
 		altFrac = (upperHGT - alt) / (upperHGT - lowerHGT)
-	} else {
-		altFrac = 0.5
 	}
 
-	component := func(level, variable int) float64 {
-		return numerics.EvalTrilinear(bs, func(i, j, k int) float64 {
-			return float64(w.file.Val(i, level, variable, j, k))
-		})
-	}
-
-	lowerU := component(levelIdx, VarWindU)
-	upperU := component(levelIdx+1, VarWindU)
-	lowerV := component(levelIdx, VarWindV)
-	upperV := component(levelIdx+1, VarWindV)
+	lowerU := sample(levelIdx, VarWindU)
+	upperU := sample(levelIdx+1, VarWindU)
+	lowerV := sample(levelIdx, VarWindV)
+	upperV := sample(levelIdx+1, VarWindV)
 
 	return weather.Sample{
 		U:          lowerU*altFrac + upperU*(1-altFrac),