How Date Addition and Subtraction is Calculated (Algorithmic Method)
Temporal date shifts require multi-stage arithmetic combining modular month math, month-end clamping, and continuous solar day increments.
Target Date = Base Date ± (Years, Months with Clamping) ± (Weeks × 7 + Days) ± (Hours × 60 + Minutes)
Base Date Anchor Initialization
Establish the base calendar starting point (Year Y₀, Month M₀, Day D₀, Hour H₀, Minute Min₀) in standard Gregorian local time.
Year & Month Vector Shift
Calculate target month M₁ = M₀ ± (Months + Years × 12). Decompose into target year Y₁ = Y₀ + ⌊M₁ / 12⌋ and normalized month M₁ mod 12.
Month Length Boundary Clamping
Verify maximum days in the target month (28, 29, 30, or 31). If base day D₀ exceeds month capacity, clamp D₁ = maxDays(Y₁, M₁).
Solar Day & Week Delta Addition
Add or subtract total solar days (Weeks × 7 + Days) using continuous Julian day traversal (86,400,000 ms per solar cycle).
Sexagesimal Time Adjustment & Rollover
Incorporate hours and minutes into the target timestamp, executing midnight rollovers and AM/PM daylight adjustments.