Floor / Manipulation Layer

Compute the floor (largest integer less than or equal to x) of floating-point values. Similar to numpy's floor() or R's floor().

Mathematical form: $$\lfloor x\rfloor =\max \{n\in \mathbb{Z}:n\le x\}$$

Examples:

• 3.1 → 3.0
• 3.9 → 3.0
• -3.1 → -4.0
• -3.9 → -4.0

Common applications:

• Complete period calculations (11.8 months → 11 months completed)
• Guaranteed minimum levels (98.7% → 98% assured)
• Available inventory counts (145.9 units → 145 units confirmed)
• Completed service intervals (3.7 cycles → 3 cycles finished)
• Actual capacity utilization (87.5% → 87% achieved)
• Earned benefit calculations (2.8 years → 2 years qualified)
• Distance-based tier calculation (5.7 miles → 5 miles tier)
• Revenue recognition (quarterly progress: 2.9 → 2 quarters)