Extended Elevation Projection Length Calculator
Declared unfolded extended-elevation cumulative horizontal coordinate with independently chosen±1extend flags, and signed vertical coordinate. Not global planprojection, selfintersection correction or survey network adjustment.
Description
Extended elevation unfolds a cave survey using independently assigned left and right directions.
Extended elevation unfolds a cave survey using independently assigned left and right directions.1
Its horizontal coordinate differs from a geographic plan coordinate, while vertical displacement follows inclination.
When to use Extended Elevation Projection Length Calculator
Use this tool to obtain signedExtendedElevationHorizontalCoordinateMeters, signedExtendedElevationVerticalCoordinateMeters from the supplied records using the stated calculation. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
How to use Extended Elevation Projection Length Calculator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualLegLengthsMeters, actualLegInclinationsDegrees, independentlyAssignedExtendDirectionSigns, using the field meanings and rules below, then run the tool.
- Read result.signedExtendedElevationHorizontalCoordinateMeters, result.signedExtendedElevationVerticalCoordinateMeters. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualLegLengthsMeters | Actual leg lengths meters | list of number | Required |
| actualLegInclinationsDegrees | Actual leg inclinations degrees | list of number | Required |
| independentlyAssignedExtendDirectionSigns | Independently assigned extend direction signs | list of number | Required |
Supply nonempty aligned nonnegative lengths, inclinations in [−90,90] degrees and extend-direction signs exactly −1 or +1. Sum signed horizontal projections and vertical projections. The direction signs apply only to the unfolded horizontal coordinate.
extendedHorizontal=Σ(length_i×cos(angle_i)×direction_i); vertical=Σ(length_i×sin(angle_i)) (radian angles) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.signedExtendedElevationHorizontalCoordinateMeters | Signed Extended Elevation Horizontal Coordinate Meters; preserve the subtraction order and sign defined in the mechanics | number |
| result.signedExtendedElevationVerticalCoordinateMeters | Signed Extended Elevation Vertical Coordinate Meters; preserve the subtraction order and sign defined in the mechanics | number |
{
"input": {
"actualLegLengthsMeters": [
2,
3
],
"actualLegInclinationsDegrees": [
0,
0
],
"independentlyAssignedExtendDirectionSigns": [
1,
-1
]
},
"output": {
"result": {
"signedExtendedElevationHorizontalCoordinateMeters": -1,
"signedExtendedElevationVerticalCoordinateMeters": 0
}
}
}Limitations and assumptions
The actual observation coverage, calibration and qualified plan determine applicability. A numerical result does not establish survey accuracy, route suitability, atmosphere conditions or equipment adequacy beyond the declared comparison.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Survey Shot 3D Coordinate Calculator: A cave survey shot relates a measured distance, azimuth and inclination to a Cartesian displacement. For a complementary comparison, use Survey Loop Misclosure Error Calculator: A closed-loop survey ideally returns to its start in the adopted coordinate frame.
References
Similar or alternative tools
- Survey Shot 3D Coordinate Calculator
A cave survey shot relates a measured distance, azimuth and inclination to a Cartesian displacement.
- Survey Loop Misclosure Error Calculator
A closed-loop survey ideally returns to its start in the adopted coordinate frame.