Conceptual function implementing 'ratio' (base adjustment) for 2-digit multiplication.
This simulates the Vedic Math mental techniques for the specified multipliers.
fun vedicRatioMultiply(number: Int, multiplier: Int): Int {
// Ensure input is a valid 2-digit number and a supported multiplier
if (number !in 10..99 || multiplier !in listOf(3, 4, 6, 7, 8, 9)) {
return number * multiplier // Fallback
}
return when (multiplier) {
// CASE 1: Multiplier is 9 (Ratio to Base 10: 10 - 1)
9 -> {
// Mental Math: (number * 10) - number
(number * 10) - number
}
// CASE 2: Multiplier is 8 (Ratio to Base 10: 10 - 2)
8 -> {
// Mental Math: (number 10) - (number 2)
(number 10) - (number 2)
}
// CASE 3: Multiplier is 4 (Decomposition/Ratio: Double-Double)
4 -> {
// Mental Math: (number 2) 2
val doubledOnce = number * 2
doubledOnce * 2
}
// CASE 4: Multiplier is 6 (Decomposition/Ratio: 5 + 1)
6 -> {
// Mental Math: (number * 5) + number
// Multiplying by 5 is easy (x10 / 2)
val resultTimesFive = number * 10 / 2
resultTimesFive + number
}
// CASE 5: Multipliers 3 and 7 (Direct for simplicity in snippet)
// In a real app, this would use a more complex sutra like 'Urdhva Tiryagbhyam'
else -> number * multiplier
}
}