Across The Floor Passes Per Group Math

Plan actual sequential across-floor groups including remainder and repeat passes with resets only between passes; no movement-speed, lane collision or participant readiness guarantee.

Description

Sequential floor groups include a possible smaller remainder group.

Sequential floor groups include a possible smaller remainder group. Reset time occurs only between group passes.^[1]

Enter nonempty unique dancer IDs, integer group size 1–128, passes/dancer 1–100, positive pass seconds and nonnegative reset. Return zero-based group assignments, group sizes, group/individual pass totals and session estimate.

When to use Across The Floor Passes Per Group Math

Use Across The Floor Passes Per Group Math when you need to evaluate the supplied records under the calculation and evidence rules below. No lane collision, movement-speed or participant-readiness guarantee is supplied.

Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.

How to use Across The Floor Passes Per Group Math and understand its results

Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.
Enter dancerIds, callerDancersPerGroup, callerPassesPerDancer, measuredGroupPassSeconds, callerResetBetweenGroupPassesSeconds using the field table and calculation rules, then run the tool.
Read assignedGroupNumbers, dancersPerGroup, wholeGroupPassCount, individualDancerPassCount, estimatedFloorSessionSeconds. 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
dancerIds	Dancer ids	list of string	Required
callerDancersPerGroup	Caller dancers per group	number	Required
callerPassesPerDancer	Caller passes per dancer	number	Required
measuredGroupPassSeconds	Measured group pass seconds	number	Required
callerResetBetweenGroupPassesSeconds	Caller reset between group passes seconds	number	Required

groups=ceil(dancers/groupSize); duration=passes×passSeconds+(passes−1)×reset

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

Output field	Meaning	Value type
assignedGroupNumbers	Assigned group numbers	list of number
dancersPerGroup	Dancers per group	list of number
wholeGroupPassCount	Whole group pass count	number
individualDancerPassCount	Individual dancer pass count	number
estimatedFloorSessionSeconds	Estimated floor session seconds	number

json

{
  "input": {
    "dancerIds": [
      "A",
      "B",
      "C",
      "D",
      "E"
    ],
    "callerDancersPerGroup": 2,
    "callerPassesPerDancer": 2,
    "measuredGroupPassSeconds": 20,
    "callerResetBetweenGroupPassesSeconds": 5
  },
  "output": {
    "assignedGroupNumbers": [
      0,
      0,
      1,
      1,
      2
    ],
    "dancersPerGroup": [
      2,
      2,
      1
    ],
    "wholeGroupPassCount": 6,
    "individualDancerPassCount": 10,
    "estimatedFloorSessionSeconds": 145
  }
}

Limitations and assumptions

No lane collision, movement-speed or participant-readiness guarantee is supplied.

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 Formation Swap Minimum Position Moves Solver: A fixed-identity formation permutation has a minimum unrestricted pair-swap count. It does not minimize physical travel. For a complementary task, use Class Structure Warmup Center Combo Minutes Split: Class-section weights allocate active time after transitions. Relative weights need not already sum to one.

References

Across The Floor Passes Per Group Math — tool.io

Similar or alternative tools

Formation Swap Minimum Position Moves Solver
A fixed-identity formation permutation has a minimum unrestricted pair-swap count. It does not minimize physical travel.
Class Structure Warmup Center Combo Minutes Split
Class-section weights allocate active time after transitions. Relative weights need not already sum to one.