Stack Size Calculator Formula

Understand the math behind the stack size calculator. Each variable explained with a worked example.

Formulas Used

Recommended Stack Size

recommended_stack = ceil(total_raw * (1 + safety_margin_pct / 100))

Base Call Stack

base_usage = base_stack

Interrupt Stack

isr_usage = isr_stack

Total Before Margin

total_before_margin = total_raw

Variables

VariableDescriptionDefault
max_call_depthMax Call Depth8
avg_frame_bytesAvg Stack Frame Size(bytes)32
interrupt_levelsInterrupt Nesting Levels2
isr_frame_bytesISR Stack Frame Size(bytes)64
safety_margin_pctSafety Margin(%)25
base_stackDerived value= max_call_depth * avg_frame_bytescalculated
isr_stackDerived value= interrupt_levels * isr_frame_bytescalculated
total_rawDerived value= base_stack + isr_stackcalculated

How It Works

Estimating Stack Size for Embedded Systems

Stack overflow is a common and dangerous bug in embedded systems. Proper sizing prevents crashes.

Formula

Base Stack = Max Call Depth x Avg Frame Size

ISR Stack = Interrupt Levels x ISR Frame Size

Recommended = (Base + ISR) x (1 + Safety Margin)

The safety margin accounts for worst-case alignment, compiler-generated temporaries, and unforeseen call paths. A 25% margin is typical for production systems.

Worked Example

8-deep call stack, 32-byte frames, 2 interrupt levels at 64 bytes each, 25% safety.

max_call_depth = 8avg_frame_bytes = 32interrupt_levels = 2isr_frame_bytes = 64safety_margin_pct = 25
  1. 01Base stack: 8 x 32 = 256 bytes
  2. 02ISR stack: 2 x 64 = 128 bytes
  3. 03Total raw: 256 + 128 = 384 bytes
  4. 04With 25% margin: 384 x 1.25 = 480 bytes

Frequently Asked Questions

How do I measure actual stack usage?

Fill the stack with a known pattern (e.g., 0xDEADBEEF) and check after running to see how far the pattern was overwritten.

What happens on stack overflow?

The stack corrupts adjacent memory, causing unpredictable behavior, hard faults, or silent data corruption.

Should I use a separate stack for ISRs?

Some architectures (ARM Cortex-M) have a separate MSP for interrupts. If available, use it to isolate ISR stack from task stacks.

Ready to run the numbers?

Open Stack Size Calculator