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https://github.com/irmen/prog8.git
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de06353194
some programs are now 100% source compatible between C64 and Cx16 targets! import libraries have been rena;med
763 lines
14 KiB
NASM
763 lines
14 KiB
NASM
; --- low level floating point assembly routines for the C64
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FL_ONE_const .byte 129 ; 1.0
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FL_ZERO_const .byte 0,0,0,0,0 ; 0.0
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floats_store_reg .byte 0 ; temp storage
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ub2float .proc
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; -- convert ubyte in SCRATCH_ZPB1 to float at address A/Y
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; clobbers A, Y
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stx P8ZP_SCRATCH_REG
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sta P8ZP_SCRATCH_W2
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sty P8ZP_SCRATCH_W2+1
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ldy P8ZP_SCRATCH_B1
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lda #0
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jsr GIVAYF
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_fac_to_mem ldx P8ZP_SCRATCH_W2
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ldy P8ZP_SCRATCH_W2+1
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jsr MOVMF
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ldx P8ZP_SCRATCH_REG
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rts
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.pend
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b2float .proc
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; -- convert byte in SCRATCH_ZPB1 to float at address A/Y
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; clobbers A, Y
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stx P8ZP_SCRATCH_REG
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sta P8ZP_SCRATCH_W2
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sty P8ZP_SCRATCH_W2+1
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lda P8ZP_SCRATCH_B1
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jsr FREADSA
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jmp ub2float._fac_to_mem
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.pend
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uw2float .proc
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; -- convert uword in SCRATCH_ZPWORD1 to float at address A/Y
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stx P8ZP_SCRATCH_REG
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sta P8ZP_SCRATCH_W2
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sty P8ZP_SCRATCH_W2+1
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lda P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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jsr GIVUAYFAY
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jmp ub2float._fac_to_mem
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.pend
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w2float .proc
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; -- convert word in SCRATCH_ZPWORD1 to float at address A/Y
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stx P8ZP_SCRATCH_REG
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sta P8ZP_SCRATCH_W2
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sty P8ZP_SCRATCH_W2+1
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ldy P8ZP_SCRATCH_W1
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lda P8ZP_SCRATCH_W1+1
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jsr GIVAYF
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jmp ub2float._fac_to_mem
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.pend
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stack_b2float .proc
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; -- b2float operating on the stack
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inx
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lda P8ESTACK_LO,x
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stx P8ZP_SCRATCH_REG
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jsr FREADSA
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jmp push_fac1_as_result
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.pend
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stack_w2float .proc
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; -- w2float operating on the stack
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inx
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ldy P8ESTACK_LO,x
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lda P8ESTACK_HI,x
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stx P8ZP_SCRATCH_REG
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jsr GIVAYF
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jmp push_fac1_as_result
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.pend
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stack_ub2float .proc
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; -- ub2float operating on the stack
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inx
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lda P8ESTACK_LO,x
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stx P8ZP_SCRATCH_REG
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tay
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lda #0
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jsr GIVAYF
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jmp push_fac1_as_result
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.pend
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stack_uw2float .proc
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; -- uw2float operating on the stack
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inx
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lda P8ESTACK_LO,x
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ldy P8ESTACK_HI,x
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stx P8ZP_SCRATCH_REG
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jsr GIVUAYFAY
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jmp push_fac1_as_result
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.pend
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stack_float2w .proc ; also used for float2b
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr AYINT
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ldx P8ZP_SCRATCH_REG
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lda $64
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sta P8ESTACK_HI,x
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lda $65
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sta P8ESTACK_LO,x
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dex
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rts
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.pend
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stack_float2uw .proc ; also used for float2ub
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr GETADR
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ldx P8ZP_SCRATCH_REG
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sta P8ESTACK_HI,x
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tya
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sta P8ESTACK_LO,x
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dex
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rts
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.pend
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push_float .proc
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; ---- push mflpt5 in A/Y onto stack
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; (taking 3 stack positions = 6 bytes of which 1 is padding)
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sta P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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ldy #0
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lda (P8ZP_SCRATCH_W1),y
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sta P8ESTACK_LO,x
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iny
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lda (P8ZP_SCRATCH_W1),y
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sta P8ESTACK_HI,x
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dex
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iny
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lda (P8ZP_SCRATCH_W1),y
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sta P8ESTACK_LO,x
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iny
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lda (P8ZP_SCRATCH_W1),y
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sta P8ESTACK_HI,x
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dex
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iny
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lda (P8ZP_SCRATCH_W1),y
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sta P8ESTACK_LO,x
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dex
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rts
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.pend
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func_rndf .proc
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; -- put a random floating point value on the stack
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stx P8ZP_SCRATCH_REG
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lda #1
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jsr FREADSA
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jsr RND ; rng into fac1
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ldx #<_rndf_rnum5
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ldy #>_rndf_rnum5
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jsr MOVMF ; fac1 to mem X/Y
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ldx P8ZP_SCRATCH_REG
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lda #<_rndf_rnum5
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ldy #>_rndf_rnum5
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jmp push_float
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_rndf_rnum5 .byte 0,0,0,0,0
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.pend
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pop_float .proc
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; ---- pops mflpt5 from stack to memory A/Y
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; (frees 3 stack positions = 6 bytes of which 1 is padding)
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sta P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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ldy #4
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inx
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lda P8ESTACK_LO,x
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sta (P8ZP_SCRATCH_W1),y
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dey
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inx
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lda P8ESTACK_HI,x
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sta (P8ZP_SCRATCH_W1),y
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dey
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lda P8ESTACK_LO,x
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sta (P8ZP_SCRATCH_W1),y
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dey
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inx
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lda P8ESTACK_HI,x
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sta (P8ZP_SCRATCH_W1),y
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dey
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lda P8ESTACK_LO,x
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sta (P8ZP_SCRATCH_W1),y
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rts
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.pend
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pop_float_fac1 .proc
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; -- pops float from stack into FAC1
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jmp MOVFM
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.pend
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pop_float_fac2 .proc
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; -- pops float from stack into FAC2
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jmp CONUPK
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.pend
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pop_float_to_indexed_var .proc
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; -- pop the float on the stack, to the memory in the array at A/Y indexed by the byte on stack
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sta P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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jsr prog8_lib.pop_index_times_5
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jsr prog8_lib.add_a_to_zpword
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lda P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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jmp pop_float
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.pend
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copy_float .proc
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; -- copies the 5 bytes of the mflt value pointed to by SCRATCH_ZPWORD1,
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; into the 5 bytes pointed to by A/Y. Clobbers A,Y.
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sta _target+1
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sty _target+2
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ldy #4
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_loop lda (P8ZP_SCRATCH_W1),y
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_target sta $ffff,y ; modified
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dey
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bpl _loop
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rts
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.pend
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inc_var_f .proc
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; -- add 1 to float pointed to by A/Y
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sta P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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stx P8ZP_SCRATCH_REG
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jsr MOVFM
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lda #<FL_ONE_const
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ldy #>FL_ONE_const
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jsr FADD
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ldx P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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jsr MOVMF
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ldx P8ZP_SCRATCH_REG
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rts
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.pend
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dec_var_f .proc
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; -- subtract 1 from float pointed to by A/Y
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sta P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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stx P8ZP_SCRATCH_REG
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lda #<FL_ONE_const
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ldy #>FL_ONE_const
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jsr MOVFM
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lda P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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jsr FSUB
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ldx P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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jsr MOVMF
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ldx P8ZP_SCRATCH_REG
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rts
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.pend
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pop_2_floats_f2_in_fac1 .proc
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; -- pop 2 floats from stack, load the second one in FAC1 as well
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lda #<fmath_float2
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ldy #>fmath_float2
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr pop_float
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lda #<fmath_float2
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ldy #>fmath_float2
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jmp MOVFM
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.pend
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fmath_float1 .byte 0,0,0,0,0 ; storage for a mflpt5 value
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fmath_float2 .byte 0,0,0,0,0 ; storage for a mflpt5 value
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push_fac1_as_result .proc
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; -- push the float in FAC1 onto the stack, and return from calculation
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ldx #<fmath_float1
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ldy #>fmath_float1
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jsr MOVMF
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lda #<fmath_float1
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ldy #>fmath_float1
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ldx P8ZP_SCRATCH_REG
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jmp push_float
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.pend
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pow_f .proc
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; -- push f1 ** f2 on stack
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lda #<fmath_float2
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ldy #>fmath_float2
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr pop_float
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stx P8ZP_SCRATCH_REG
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr CONUPK ; fac2 = float1
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lda #<fmath_float2
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ldy #>fmath_float2
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jsr FPWR
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ldx P8ZP_SCRATCH_REG
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jmp push_fac1_as_result
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.pend
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div_f .proc
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; -- push f1/f2 on stack
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jsr pop_2_floats_f2_in_fac1
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stx P8ZP_SCRATCH_REG
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr FDIV
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jmp push_fac1_as_result
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.pend
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add_f .proc
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; -- push f1+f2 on stack
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jsr pop_2_floats_f2_in_fac1
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stx P8ZP_SCRATCH_REG
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr FADD
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jmp push_fac1_as_result
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.pend
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sub_f .proc
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; -- push f1-f2 on stack
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jsr pop_2_floats_f2_in_fac1
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stx P8ZP_SCRATCH_REG
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr FSUB
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jmp push_fac1_as_result
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.pend
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mul_f .proc
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; -- push f1*f2 on stack
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jsr pop_2_floats_f2_in_fac1
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stx P8ZP_SCRATCH_REG
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr FMULT
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jmp push_fac1_as_result
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.pend
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neg_f .proc
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; -- push -flt back on stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr NEGOP
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jmp push_fac1_as_result
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.pend
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abs_f .proc
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; -- push abs(float) on stack (as float)
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr ABS
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jmp push_fac1_as_result
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.pend
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equal_f .proc
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; -- are the two mflpt5 numbers on the stack identical?
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inx
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inx
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inx
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inx
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lda P8ESTACK_LO-3,x
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cmp P8ESTACK_LO,x
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bne _equals_false
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lda P8ESTACK_LO-2,x
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cmp P8ESTACK_LO+1,x
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bne _equals_false
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lda P8ESTACK_LO-1,x
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cmp P8ESTACK_LO+2,x
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bne _equals_false
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lda P8ESTACK_HI-2,x
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cmp P8ESTACK_HI+1,x
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bne _equals_false
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lda P8ESTACK_HI-1,x
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cmp P8ESTACK_HI+2,x
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bne _equals_false
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_equals_true lda #1
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_equals_store inx
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sta P8ESTACK_LO+1,x
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rts
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_equals_false lda #0
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beq _equals_store
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.pend
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notequal_f .proc
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; -- are the two mflpt5 numbers on the stack different?
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jsr equal_f
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eor #1 ; invert the result
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sta P8ESTACK_LO+1,x
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rts
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.pend
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less_f .proc
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; -- is f1 < f2?
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jsr compare_floats
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cmp #255
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beq compare_floats._return_true
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bne compare_floats._return_false
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.pend
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lesseq_f .proc
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; -- is f1 <= f2?
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jsr compare_floats
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cmp #255
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beq compare_floats._return_true
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cmp #0
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beq compare_floats._return_true
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bne compare_floats._return_false
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.pend
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greater_f .proc
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; -- is f1 > f2?
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jsr compare_floats
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cmp #1
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beq compare_floats._return_true
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bne compare_floats._return_false
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.pend
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greatereq_f .proc
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; -- is f1 >= f2?
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jsr compare_floats
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cmp #1
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beq compare_floats._return_true
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cmp #0
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beq compare_floats._return_true
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bne compare_floats._return_false
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.pend
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compare_floats .proc
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lda #<fmath_float2
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ldy #>fmath_float2
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr pop_float
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr MOVFM ; fac1 = flt1
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lda #<fmath_float2
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ldy #>fmath_float2
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stx P8ZP_SCRATCH_REG
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jsr FCOMP ; A = flt1 compared with flt2 (0=equal, 1=flt1>flt2, 255=flt1<flt2)
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ldx P8ZP_SCRATCH_REG
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rts
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_return_false lda #0
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_return_result sta P8ESTACK_LO,x
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dex
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rts
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_return_true lda #1
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bne _return_result
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.pend
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func_sin .proc
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; -- push sin(f) back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr SIN
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jmp push_fac1_as_result
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.pend
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func_cos .proc
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; -- push cos(f) back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr COS
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jmp push_fac1_as_result
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.pend
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func_tan .proc
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; -- push tan(f) back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr TAN
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jmp push_fac1_as_result
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.pend
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func_atan .proc
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; -- push atan(f) back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr ATN
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jmp push_fac1_as_result
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.pend
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func_ln .proc
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; -- push ln(f) back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr LOG
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jmp push_fac1_as_result
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.pend
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func_log2 .proc
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; -- push log base 2, ln(f)/ln(2), back onto stack
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
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jsr LOG
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jsr MOVEF
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lda #<c64.FL_LOG2
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ldy #>c64.FL_LOG2
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jsr MOVFM
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jsr FDIVT
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jmp push_fac1_as_result
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.pend
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func_sqrt .proc
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jsr pop_float_fac1
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stx P8ZP_SCRATCH_REG
|
|
jsr SQR
|
|
jmp push_fac1_as_result
|
|
.pend
|
|
|
|
func_rad .proc
|
|
; -- convert degrees to radians (d * pi / 180)
|
|
jsr pop_float_fac1
|
|
stx P8ZP_SCRATCH_REG
|
|
lda #<_pi_div_180
|
|
ldy #>_pi_div_180
|
|
jsr FMULT
|
|
jmp push_fac1_as_result
|
|
_pi_div_180 .byte 123, 14, 250, 53, 18 ; pi / 180
|
|
.pend
|
|
|
|
func_deg .proc
|
|
; -- convert radians to degrees (d * (1/ pi * 180))
|
|
jsr pop_float_fac1
|
|
stx P8ZP_SCRATCH_REG
|
|
lda #<_one_over_pi_div_180
|
|
ldy #>_one_over_pi_div_180
|
|
jsr FMULT
|
|
jmp push_fac1_as_result
|
|
_one_over_pi_div_180 .byte 134, 101, 46, 224, 211 ; 1 / (pi * 180)
|
|
.pend
|
|
|
|
func_round .proc
|
|
jsr pop_float_fac1
|
|
stx P8ZP_SCRATCH_REG
|
|
jsr FADDH
|
|
jsr INT
|
|
jmp push_fac1_as_result
|
|
.pend
|
|
|
|
func_floor .proc
|
|
jsr pop_float_fac1
|
|
stx P8ZP_SCRATCH_REG
|
|
jsr INT
|
|
jmp push_fac1_as_result
|
|
.pend
|
|
|
|
func_ceil .proc
|
|
; -- ceil: tr = int(f); if tr==f -> return else return tr+1
|
|
jsr pop_float_fac1
|
|
stx P8ZP_SCRATCH_REG
|
|
ldx #<fmath_float1
|
|
ldy #>fmath_float1
|
|
jsr MOVMF
|
|
jsr INT
|
|
lda #<fmath_float1
|
|
ldy #>fmath_float1
|
|
jsr FCOMP
|
|
cmp #0
|
|
beq +
|
|
lda #<FL_ONE_const
|
|
ldy #>FL_ONE_const
|
|
jsr FADD
|
|
+ jmp push_fac1_as_result
|
|
.pend
|
|
|
|
func_any_f .proc
|
|
inx
|
|
lda P8ESTACK_LO,x ; array size
|
|
sta P8ZP_SCRATCH_B1
|
|
asl a
|
|
asl a
|
|
clc
|
|
adc P8ZP_SCRATCH_B1 ; times 5 because of float
|
|
jmp prog8_lib.func_any_b._entry
|
|
.pend
|
|
|
|
func_all_f .proc
|
|
inx
|
|
jsr prog8_lib.peek_address
|
|
lda P8ESTACK_LO,x ; array size
|
|
sta P8ZP_SCRATCH_B1
|
|
asl a
|
|
asl a
|
|
clc
|
|
adc P8ZP_SCRATCH_B1 ; times 5 because of float
|
|
tay
|
|
dey
|
|
- lda (P8ZP_SCRATCH_W1),y
|
|
clc
|
|
dey
|
|
adc (P8ZP_SCRATCH_W1),y
|
|
dey
|
|
adc (P8ZP_SCRATCH_W1),y
|
|
dey
|
|
adc (P8ZP_SCRATCH_W1),y
|
|
dey
|
|
adc (P8ZP_SCRATCH_W1),y
|
|
dey
|
|
cmp #0
|
|
beq +
|
|
cpy #255
|
|
bne -
|
|
lda #1
|
|
sta P8ESTACK_LO+1,x
|
|
rts
|
|
+ sta P8ESTACK_LO+1,x
|
|
rts
|
|
.pend
|
|
|
|
func_max_f .proc
|
|
lda #255
|
|
sta _minmax_cmp+1
|
|
lda #<_largest_neg_float
|
|
ldy #>_largest_neg_float
|
|
_minmax_entry jsr MOVFM
|
|
jsr prog8_lib.pop_array_and_lengthmin1Y
|
|
stx floats_store_reg
|
|
- sty P8ZP_SCRATCH_REG
|
|
lda P8ZP_SCRATCH_W1
|
|
ldy P8ZP_SCRATCH_W1+1
|
|
jsr FCOMP
|
|
_minmax_cmp cmp #255 ; modified
|
|
bne +
|
|
lda P8ZP_SCRATCH_W1
|
|
ldy P8ZP_SCRATCH_W1+1
|
|
jsr MOVFM
|
|
+ lda P8ZP_SCRATCH_W1
|
|
clc
|
|
adc #5
|
|
sta P8ZP_SCRATCH_W1
|
|
bcc +
|
|
inc P8ZP_SCRATCH_W1+1
|
|
+ ldy P8ZP_SCRATCH_REG
|
|
dey
|
|
cpy #255
|
|
bne -
|
|
ldx floats_store_reg
|
|
stx P8ZP_SCRATCH_REG
|
|
jmp push_fac1_as_result
|
|
_largest_neg_float .byte 255,255,255,255,255 ; largest negative float -1.7014118345e+38
|
|
.pend
|
|
|
|
func_min_f .proc
|
|
lda #1
|
|
sta func_max_f._minmax_cmp+1
|
|
lda #<_largest_pos_float
|
|
ldy #>_largest_pos_float
|
|
jmp func_max_f._minmax_entry
|
|
_largest_pos_float .byte 255,127,255,255,255 ; largest positive float
|
|
rts
|
|
.pend
|
|
|
|
func_sum_f .proc
|
|
lda #<FL_ZERO_const
|
|
ldy #>FL_ZERO_const
|
|
jsr MOVFM
|
|
jsr prog8_lib.pop_array_and_lengthmin1Y
|
|
stx floats_store_reg
|
|
- sty P8ZP_SCRATCH_REG
|
|
lda P8ZP_SCRATCH_W1
|
|
ldy P8ZP_SCRATCH_W1+1
|
|
jsr FADD
|
|
ldy P8ZP_SCRATCH_REG
|
|
dey
|
|
cpy #255
|
|
beq +
|
|
lda P8ZP_SCRATCH_W1
|
|
clc
|
|
adc #5
|
|
sta P8ZP_SCRATCH_W1
|
|
bcc -
|
|
inc P8ZP_SCRATCH_W1+1
|
|
bne -
|
|
+ ldx floats_store_reg
|
|
stx P8ZP_SCRATCH_REG
|
|
jmp push_fac1_as_result
|
|
.pend
|
|
|
|
sign_f .proc
|
|
jsr pop_float_fac1
|
|
jsr SIGN
|
|
sta P8ESTACK_LO,x
|
|
dex
|
|
rts
|
|
.pend
|
|
|
|
|
|
set_0_array_float .proc
|
|
; -- set a float in an array to zero (index on stack, array in SCRATCH_ZPWORD1)
|
|
inx
|
|
lda P8ESTACK_LO,x
|
|
asl a
|
|
asl a
|
|
clc
|
|
adc P8ESTACK_LO,x
|
|
tay
|
|
lda #0
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
iny
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
iny
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
iny
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
iny
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
rts
|
|
.pend
|
|
|
|
|
|
set_array_float .proc
|
|
; -- set a float in an array to a value (index on stack, float in SCRATCH_ZPWORD1, array in SCRATCH_ZPWORD2)
|
|
inx
|
|
lda P8ESTACK_LO,x
|
|
asl a
|
|
asl a
|
|
clc
|
|
adc P8ESTACK_LO,x
|
|
adc P8ZP_SCRATCH_W2
|
|
ldy P8ZP_SCRATCH_W2+1
|
|
bcc +
|
|
iny
|
|
+ jmp copy_float
|
|
; -- copies the 5 bytes of the mflt value pointed to by SCRATCH_ZPWORD1,
|
|
; into the 5 bytes pointed to by A/Y. Clobbers A,Y.
|
|
.pend
|
|
|
|
|
|
swap_floats .proc
|
|
; -- swap floats pointed to by SCRATCH_ZPWORD1, SCRATCH_ZPWORD2
|
|
ldy #4
|
|
- lda (P8ZP_SCRATCH_W1),y
|
|
pha
|
|
lda (P8ZP_SCRATCH_W2),y
|
|
sta (P8ZP_SCRATCH_W1),y
|
|
pla
|
|
sta (P8ZP_SCRATCH_W2),y
|
|
dey
|
|
bpl -
|
|
rts
|
|
.pend
|