Logical & Comparison Functions

CalcTree supports standard logical and comparison functions using MathJS syntax and comparison operators.

These functions return true or false, and are often used in conditional expressions and ternary operations (e.g. a > b ? "yes" : "no").

If Statements

MathJS does not use a traditional if(...) {} structure. Instead, native CalcTree parameters support conditional logic using the ternary operator:

condition ? value_if_true : value_if_false

Example: Basic if logic

result = load > limit ? "Fail" : "Pass"

Nested conditions (like else if)

check = ratio < 1 ? "OK" : ratio < 1.5 ? "Warning" : "Fail"

Comparison Functions

Function	Description	CalcTree Example
equal(a, b)	Checks strict equality	equal(2, 2) → true
unequal(a, b)	Checks inequality	unequal(2, 3) → true
smaller(a, b)	Less than	smaller(1, 2) → true
smallerEq(a, b)	Less than or equal	smallerEq(2, 2) → true
larger(a, b)	Greater than	larger(3, 1) → true
largerEq(a, b)	Greater than or equal	largerEq(3, 3) → true

Natural and String Comparison

Function	Description	CalcTree Example
compare(a, b)	General numerical comparison	compare(2, 3) → -1
compareText(a, b)	Lexical string comparison	compareText("a", "b") → -1
compareNatural(a, b)	Natural-order comparison (e.g., v1 < v2)	compareNatural("2", "10") → -1

Deep & Elementwise Equality

Function	Description	CalcTree Example
deepEqual(a, b)	Element-wise equality for arrays/matrices	deepEqual([1, 2], [1, 2]) → true
equalText(a, b)	Text string equality	equalText("abc", "abc") → true

Logical Functions

Function	Description	CalcTree Example
and(a, b)	Logical AND	and(true, true) → true
or(a, b)	Logical OR	or(false, true) → true
not(a)	Logical NOT	not(true) → false
xor(a, b)	Exclusive OR	xor(true, false) → true

Notes for CalcTree

• Logical outputs (true, false) can be used in conditional formulas like:

  result = load > limit ? "Fail" : "Pass"

• For multi-value comparisons (e.g. arrays), use deepEqual() instead of equal().

• Comparisons between unit-bearing quantities must be dimensionally consistent (e.g. 2 m > 1 m is valid, 2 m > 1 kg is not).

📘 Looking for more functions? CalcTree’s expression engine is powered by MathJS. For a full list of available functions, visit the MathJS Function Reference. Most functions listed there are supported in CalcTree unless otherwise noted.