prog8/codeGenTargets/src/prog8/codegen/target/cbm/Mflpt5.kt
2022-03-10 23:46:43 +01:00

78 lines
3.1 KiB
Kotlin

package prog8.codegen.target.cbm
import prog8.compilerinterface.IMachineFloat
import prog8.code.core.InternalCompilerException
import kotlin.math.absoluteValue
import kotlin.math.pow
data class Mflpt5(val b0: UByte, val b1: UByte, val b2: UByte, val b3: UByte, val b4: UByte): IMachineFloat {
companion object {
const val FLOAT_MAX_POSITIVE = 1.7014118345e+38 // bytes: 255,127,255,255,255
const val FLOAT_MAX_NEGATIVE = -1.7014118345e+38 // bytes: 255,255,255,255,255
const val FLOAT_MEM_SIZE = 5
val zero = Mflpt5(0u, 0u, 0u, 0u, 0u)
fun fromNumber(num: Number): Mflpt5 {
// see https://en.wikipedia.org/wiki/Microsoft_Binary_Format
// and https://sourceforge.net/p/acme-crossass/code-0/62/tree/trunk/ACME_Lib/cbm/mflpt.a
// and https://en.wikipedia.org/wiki/IEEE_754-1985
val flt = num.toDouble()
if (flt < FLOAT_MAX_NEGATIVE || flt > FLOAT_MAX_POSITIVE)
throw InternalCompilerException("floating point number out of 5-byte mflpt range: $this")
if (flt == 0.0)
return zero
val sign = if (flt < 0.0) 0x80L else 0x00L
var exponent = 128 + 32 // 128 is cbm's bias, 32 is this algo's bias
var mantissa = flt.absoluteValue
// if mantissa is too large, shift right and adjust exponent
while (mantissa >= 0x100000000) {
mantissa /= 2.0
exponent++
}
// if mantissa is too small, shift left and adjust exponent
while (mantissa < 0x80000000) {
mantissa *= 2.0
exponent--
}
return when {
exponent < 0 -> zero // underflow, use zero instead
exponent > 255 -> throw InternalCompilerException("floating point overflow: $this")
exponent == 0 -> zero
else -> {
val mantLong = mantissa.toLong()
Mflpt5(
exponent.toUByte(),
(mantLong.and(0x7f000000L) ushr 24).or(sign).toUByte(),
(mantLong.and(0x00ff0000L) ushr 16).toUByte(),
(mantLong.and(0x0000ff00L) ushr 8).toUByte(),
(mantLong.and(0x000000ffL)).toUByte()
)
}
}
}
}
override fun toDouble(): Double {
if (this == zero) return 0.0
val exp = b0.toInt() - 128
val sign = (b1.toInt() and 0x80) > 0
val number = 0x80000000L.or(b1.toLong() shl 24).or(b2.toLong() shl 16).or(b3.toLong() shl 8).or(b4.toLong())
val result = number.toDouble() * (2.0).pow(exp) / 0x100000000
return if (sign) -result else result
}
override fun makeFloatFillAsm(): String {
val b0 = "$" + b0.toString(16).padStart(2, '0')
val b1 = "$" + b1.toString(16).padStart(2, '0')
val b2 = "$" + b2.toString(16).padStart(2, '0')
val b3 = "$" + b3.toString(16).padStart(2, '0')
val b4 = "$" + b4.toString(16).padStart(2, '0')
return "$b0, $b1, $b2, $b3, $b4"
}
}