2.0 KiB
epic, story, title, status
| epic | story | title | status |
|---|---|---|---|
| 6 | 6.2 | Logarithmic & Exponential Functions | draft |
Epic 6 — Advanced Math & Functions
Goal: Scientific, financial, and power-user math.
Story 6.2: Logarithmic & Exponential Functions
As a CalcPad user, I want to use logarithmic and exponential functions including ln, log, log2, exp, pow, sqrt, cbrt, and nth-root, So that I can perform scientific, financial, and engineering calculations involving growth, decay, and roots.
Acceptance Criteria:
Given the user writes ln(1)
When the engine evaluates
Then the result is 0
Given the user writes ln(e) where e is Euler's number
When the engine evaluates
Then the result is 1
Given the user writes log(100)
When the engine evaluates
Then the result is 2 (base-10 logarithm)
Given the user writes log2(256)
When the engine evaluates
Then the result is 8
Given the user writes exp(1)
When the engine evaluates
Then the result is approximately 2.71828 (e^1)
Given the user writes 2^10
When the engine evaluates
Then the result is 1024
Given the user writes pow(2, 10)
When the engine evaluates
Then the result is 1024
Given the user writes e^3
When the engine evaluates
Then the result is approximately 20.0855
Given the user writes sqrt(144)
When the engine evaluates
Then the result is 12
Given the user writes cbrt(27)
When the engine evaluates
Then the result is 3
Given the user writes an nth-root expression such as 4th root of 625 or root(625, 4)
When the engine evaluates
Then the result is 5
Given the user writes ln(0) or log(-1)
When the engine evaluates
Then the engine displays an error indicating the argument is out of the valid domain
Given the user writes sqrt(-4)
When the engine evaluates
Then the engine displays an error (complex numbers are out of scope unless explicitly supported)