Examples
Examples
Try the starting example
- Distance km, elevation m, one measured point per line
- 0,100 1,200 2,150 3,300
- Distance-zone boundaries km, spanning the whole profile
- 0,1.5,3
- Ascent by distance zone (m)
- 0–1.5: 100; 1.5–3: 150
- Descent by distance zone (m)
- 0–1.5: 25; 1.5–3: 25
- Total measured ascent (m)
- 250
- Total measured descent (m)
- 50
- Steepest positive segment grade (%)
- 15
Try another scenario
- Distance km, elevation m, one measured point per line
- 0,100 1,200 2,150 3,300
- Distance-zone boundaries km, spanning the whole profile
- 0,2,3
- Ascent by distance zone (m)
- 0–2: 100; 2–3: 150
- Descent by distance zone (m)
- 0–2: 50; 2–3: 0
- Total measured ascent (m)
- 250
- Total measured descent (m)
- 50
- Steepest positive segment grade (%)
- 15
Calculation method
Calculation method
Ascent by distance zone (m)
Split each linear measured profile segment at distance-zone boundaries and accumulate only positive elevation changes.
Descent by distance zone (m)
Accumulate the magnitude of negative changes after the same split.
Total measured ascent (m)
Sum zone ascent.
Total measured descent (m)
Sum zone descent.
Steepest positive segment grade (%)
max(0,elevation rise/(1000×distance km)×100) across measured segments.
Symbols and units
- a
- Distance km, elevation m, one measured point per line
- b
- Distance-zone boundaries km, spanning the whole profile
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Summarises an entered elevation profile using linear interpolation between measurements. GPS noise and sparse sampling affect ascent; no trail conditions, travel times or route safety are inferred.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: Euclidean geometry and trigonometric identities ↗
Background reading; this does not imply endorsement or independent review of SumFizz.