Cut climb profile sections in the backend

The chart steps are computed in Go and shipped as finished sections, next to
the profile statistics the climb package already owns: climb.ProfileSections
cuts a Route at its widest bends under a ProfilePolicy, and
rideanalysis.MergeClimbProfile takes over the merge that lived in
web/climbs.go, so web only loads the attempt rides and maps the DTOs.

The payload carries sections instead of raw elevations, and the browser keeps
what needs the canvas: slope bands, labels, distance ticks and colours.
official-climb-profile-logic.ts and its tests are gone, replaced by
climb/profile_test.go and a page test reading the embedded profile JSON.

1 files changed, 41 insertions, 13 deletions

diff --git a/web/views.go b/web/views.go
index af3dbc2..f895fc5 100644
--- a/web/views.go
+++ b/web/views.go
@@ -123,20 +123,44 @@ type RideProfilePoint struct {
 }
 
 type RideProfileClimb struct {
-	Index           int     `json:"-"`
+	Index           int                  `json:"index"`
+	StartKm         float64              `json:"startKm"`
+	EndKm           float64              `json:"endKm"`
+	TopKm           float64              `json:"topKm"`
+	TopElevationM   float64              `json:"topElevationM"`
+	Name            string               `json:"name"`
+	Category        string               `json:"category"`
+	DistanceKm      float64              `json:"distanceKm"`
+	SlopePercent    float64              `json:"slopePercent"`
+	Cotacol         float64              `json:"cotacol"`
+	OfficialClimbID int64                `json:"officialClimbId,omitempty"`
+	OfficialName    string               `json:"officialName,omitempty"`
+	StartIndex      int                  `json:"startIndex"`
+	EndIndex        int                  `json:"endIndex"`
+	Sections        []ProfileSectionView `json:"sections,omitempty"`
+}
+
+// ProfileSectionView is one step of a drawn climb profile: the stretch between two bends of the trace.
+type ProfileSectionView struct {
 	StartKm         float64 `json:"startKm"`
 	EndKm           float64 `json:"endKm"`
-	TopKm           float64 `json:"topKm"`
-	TopElevationM   float64 `json:"topElevationM"`
-	Name            string  `json:"name"`
-	Category        string  `json:"category"`
-	DistanceKm      float64 `json:"distanceKm"`
+	StartElevationM float64 `json:"startElevationM"`
+	EndElevationM   float64 `json:"endElevationM"`
 	SlopePercent    float64 `json:"slopePercent"`
-	Cotacol         float64 `json:"cotacol"`
-	OfficialClimbID int64   `json:"officialClimbId,omitempty"`
-	OfficialName    string  `json:"officialName,omitempty"`
-	StartIndex      int     `json:"startIndex"`
-	EndIndex        int     `json:"endIndex"`
+}
+
+func profileSectionsView(sections []climb.ProfileSection) []ProfileSectionView {
+	views := make([]ProfileSectionView, 0, len(sections))
+	for _, section := range sections {
+		views = append(views, ProfileSectionView{
+			StartKm:         section.StartDistanceM / 1000,
+			EndKm:           section.EndDistanceM / 1000,
+			StartElevationM: section.StartElevationM,
+			EndElevationM:   section.EndElevationM,
+			SlopePercent:    section.SlopePercent,
+		})
+	}
+	return views
 }
 
 type RideProfileCrossing struct {
@@ -366,10 +390,11 @@ func buildRideProfile(parsed ride.Ride, passes []mountain_pass.MountainPass, off
 		}
 	}
 	analysis := rideanalysis.Analyze(parsed, passes, officialClimbs, matchPolicy)
+	profilePolicy := climb.DefaultProfilePolicy()
 	for _, analyzedClimb := range analysis.Climbs {
 		segment := analyzedClimb.Segment
 		topIndex, topElevationM := segment.Top()
-		climb := RideProfileClimb{
+		climbView := RideProfileClimb{
 			Index:           len(profile.Climbs),
 			StartKm:         segment.Distances[0] / 1000,
 			EndKm:           segment.Distances[len(segment.Distances)-1] / 1000,
@@ -385,7 +410,10 @@ func buildRideProfile(parsed ride.Ride, passes []mountain_pass.MountainPass, off
 			StartIndex:      analyzedClimb.Interval.Start,
 			EndIndex:        analyzedClimb.Interval.End,
 		}
-		profile.Climbs = append(profile.Climbs, climb)
+		if analyzedClimb.OfficialClimbID > 0 {
+			climbView.Sections = profileSectionsView(segment.ProfileSections(profilePolicy))
+		}
+		profile.Climbs = append(profile.Climbs, climbView)
 	}
 	for _, crossing := range analysis.Crossings {
 		profile.Crossings = append(profile.Crossings, RideProfileCrossing{