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open-roms/c64/basic/math/NORMAL.s
T

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ArmAsm

// #LAYOUT# STD * #TAKE
// #LAYOUT# * BASIC_0 #TAKE
// #LAYOUT# * * #IGNORE
//
// Math package - normalize FAC1
//
// See also:
// - [CM64] Computes Mapping the Commodore 64 - page 113
// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
//
// XXX test this
NORMAL:
lda FAC1_exponent
beq normal_end // branch if our float is 0
lda FAC1_mantissa+3
beq normal_by_byte // branch if we can move the whole byte
and #$80
bne normal_end // branch if already normalized
// FALLTROUGH
normal_by_bit:
// First check the current exponent
lda FAC1_exponent
cmp #$01
bne !+
// Exponent is 1 - just mark the whole number as 0 and finish
lda #$00
sta FAC1_exponent
rts
!:
// Multiply the mantissa by 2
clc
rol FACOV
rol FAC1_mantissa+3
rol FAC1_mantissa+2
rol FAC1_mantissa+1
rol FAC1_mantissa+0
bcc NORMAL // branch if next iteration needed
rts
normal_by_byte:
// First decrement the exponent by 8, but not below 0
lda FAC1_exponent
sec
sbc #$08
bcs !+
lda #$00
!:
sta FAC1_exponent
beq normal_end // branch if our float reached 0
// Now multiply the mantissa by 8 by moving the whole bytes
lda FAC1_mantissa+2
sta FAC1_mantissa+3
lda FAC1_mantissa+1
sta FAC1_mantissa+2
lda FAC1_mantissa+0
sta FAC1_mantissa+1
lda FACOV
sta FAC1_mantissa+0
lda #$00
sta FACOV
// Now check if mantissa is not 0
ora FAC1_mantissa+0
ora FAC1_mantissa+1
ora FAC1_mantissa+2
ora FAC1_mantissa+3
bne NORMAL // not 0 - branch to next iteration
// Our mantissa reached 0 - mark exponent as 0 and finish
sta FAC1_exponent
// FALLTROUGH
normal_end:
rts