Leg Border Set Number By Stage Width Lookup

Audit actual leg/border set depth intervals including front/back tails under caller masking-plan budget; not stage-width-alone universal set count, audience sightline proof or rigging positions.

Description

Masking-set coverage depends on depth intervals including front and back tails.

Masking-set coverage depends on depth intervals including front and back tails. A stage width alone cannot establish the needed set count.^[1]

Enter positive depth/maximum gap and nonempty distinct nondecreasing positions within 0…depth. Return set count, boundary intervals and strictly-above indices.

When to use Leg Border Set Number By Stage Width Lookup

Use Leg Border Set Number By Stage Width Lookup when you need to evaluate the supplied records under the calculation and evidence rules below. No audience sightline proof or rigging positions are determined.

Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.

How to use Leg Border Set Number By Stage Width Lookup and understand its results

Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
Enter stageDepthM, plannedLegBorderSetDepthsM, callerMaximumUnmaskedDepthIntervalM using the field table and calculation rules, then run the tool.
Read plannedLegBorderSetCount, depthBoundaryIntervalsM, intervalsAboveCallerMaskingBudget. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
stageDepthM	Stage depth m	number	Required
plannedLegBorderSetDepthsM	Planned leg border set depths m	list of number	Required
callerMaximumUnmaskedDepthIntervalM	Caller maximum unmasked depth interval m	number	Required

Enter positive depth/maximum gap and nonempty distinct nondecreasing positions within 0…depth. Return set count, boundary intervals and strictly-above indices.

gaps=adjacent differences in [0,sets…,stageDepth]

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
plannedLegBorderSetCount	Planned leg border set count	number
depthBoundaryIntervalsM	Depth boundary intervals m	list of number
intervalsAboveCallerMaskingBudget	Intervals above caller masking budget	list of number

json

{
  "input": {
    "stageDepthM": 8,
    "plannedLegBorderSetDepthsM": [
      2,
      4,
      6
    ],
    "callerMaximumUnmaskedDepthIntervalM": 2
  },
  "output": {
    "plannedLegBorderSetCount": 3,
    "depthBoundaryIntervalsM": [
      2,
      2,
      2,
      2
    ],
    "intervalsAboveCallerMaskingBudget": []
  }
}

Limitations and assumptions

No audience sightline proof or rigging positions are determined.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Border Mask Height Sightline Calculator: A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path. For a complementary task, use Proscenium Opening Ratio Lookup: Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.

References

Leg Border Set Number By Stage Width Lookup — tool.io

Similar or alternative tools

Border Mask Height Sightline Calculator
A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path.
Proscenium Opening Ratio Lookup
Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.