mirror of
https://github.com/irmen/prog8.git
synced 2024-11-25 19:31:36 +00:00
306 lines
6.4 KiB
Lua
306 lines
6.4 KiB
Lua
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sys {
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%option merge, ignore_unused ; add some constants to sys
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const float MAX_FLOAT = 1.7014118345e+38 ; bytes: 255,127,255,255,255
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const float MIN_FLOAT = -1.7014118345e+38 ; bytes: 255,255,255,255,255
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}
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txt {
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%option merge, ignore_unused ; add function to txt
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alias print_f = floats.print
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}
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math {
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%option merge, ignore_unused ; add functions to math
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alias lerpf = floats.lerp
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alias lerpf_fast = floats.lerp_fast
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alias interpolatef = floats.interpolate
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}
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floats {
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; the floating point functions shared across compiler targets
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%option merge, no_symbol_prefixing, ignore_unused
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const float π = 3.141592653589793
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const float PI = π
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const float TWOPI = 2*π
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const float E = 2.718281828459045
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const float EPSILON = 2.938735878e-39 ; bytes: 1,0,0,0,0
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asmsub print(float value @FAC1) clobbers(A,X,Y) {
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; ---- prints the floating point value (without a newline). No leading space (unlike BASIC)!
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%asm {{
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jsr tostr
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ldy #0
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- lda (P8ZP_SCRATCH_W1),y
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beq +
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jsr cbm.CHROUT
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iny
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bne -
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+ rts
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}}
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}
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asmsub tostr(float value @FAC1) clobbers(X) -> str @AY {
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; ---- converts the floating point value to a string. No leading space!
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%asm {{
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jsr FOUT
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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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cmp #' '
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bne +
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inc P8ZP_SCRATCH_W1
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bne +
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inc P8ZP_SCRATCH_W1+1
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+ lda P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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rts
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}}
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}
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sub pow(float value, float power) -> float {
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%asm {{
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stx P8ZP_SCRATCH_W1
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sty P8ZP_SCRATCH_W1+1
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lda #<value
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ldy #>value
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jsr floats.CONUPK
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lda #<power
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ldy #>power
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jsr floats.FPWR
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ldx P8ZP_SCRATCH_W1
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ldy P8ZP_SCRATCH_W1+1
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rts
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}}
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}
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sub sin(float angle) -> float {
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%asm {{
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lda #<angle
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ldy #>angle
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jsr MOVFM
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jmp SIN
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}}
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}
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sub cos(float angle) -> float {
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%asm {{
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lda #<angle
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ldy #>angle
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jsr MOVFM
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jmp COS
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rts
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}}
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}
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sub tan(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jmp TAN
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}}
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}
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sub atan(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jmp ATN
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}}
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}
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; two-argument arctangent that returns an angle in the correct quadrant
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; for the signs of x and y, normalized to the range [0, 2π]
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sub atan2(float y, float x) -> float {
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float atn
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if x == 0 {
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atn = π/2
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if y == 0 return 0
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if y < 0 {
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atn += π
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}
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} else {
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atn = atan(y / x)
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}
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if x < 0 atn += π
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if atn < 0 atn += 2*π
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return atn
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}
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; reciprocal functions
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sub secant(float value) -> float { return 1.0 / cos(value) }
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sub csc(float value) -> float { return 1.0 / sin(value) }
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sub cot(float value) -> float { return 1.0 / tan(value) }
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sub ln(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jmp LOG
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}}
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}
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sub log2(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jsr LOG
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jsr MOVEF
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lda #<FL_LOG2_const
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ldy #>FL_LOG2_const
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jsr MOVFM
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jmp FDIVT
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}}
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}
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sub rad(float angle) -> float {
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; -- convert degrees to radians (d * pi / 180)
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%asm {{
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lda #<angle
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ldy #>angle
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jsr MOVFM
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lda #<_pi_div_180
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ldy #>_pi_div_180
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jmp FMULT
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_pi_div_180 .byte 123, 14, 250, 53, 18 ; pi / 180
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}}
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}
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sub deg(float angle) -> float {
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; -- convert radians to degrees (d * (1/ pi * 180))
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%asm {{
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lda #<angle
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ldy #>angle
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jsr MOVFM
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lda #<_one_over_pi_div_180
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ldy #>_one_over_pi_div_180
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jmp FMULT
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rts
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_one_over_pi_div_180 .byte 134, 101, 46, 224, 211 ; 1 / (pi * 180)
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}}
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}
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sub round(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jsr FADDH
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jmp INT
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}}
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}
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sub floor(float value) -> float {
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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jmp INT
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}}
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}
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sub ceil(float value) -> float {
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; -- ceil: tr = int(f); if tr==f -> return else return tr+1
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%asm {{
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lda #<value
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ldy #>value
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jsr MOVFM
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ldx #<fmath_float1
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ldy #>fmath_float1
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jsr MOVMF
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jsr INT
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lda #<fmath_float1
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ldy #>fmath_float1
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jsr FCOMP
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cmp #0
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beq +
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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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+ rts
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}}
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}
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sub rndseed(float seed) {
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if seed>0
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seed = -seed ; make sure fp seed is always negative
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%asm {{
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lda #<seed
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ldy #>seed
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jsr MOVFM ; load float into fac1
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lda #-1
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jmp floats.RND
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}}
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}
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sub minf(float f1, float f2) -> float {
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if f1<f2
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return f1
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return f2
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}
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sub maxf(float f1, float f2) -> float {
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if f1>f2
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return f1
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return f2
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}
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sub clampf(float value, float minimum, float maximum) -> float {
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if value>maximum
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value=maximum
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if value>minimum
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return value
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return minimum
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}
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inline asmsub push(float value @FAC1) {
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%asm {{
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jsr floats.pushFAC1
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}}
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}
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inline asmsub pop() -> float @FAC1 {
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%asm {{
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clc
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jsr floats.popFAC
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}}
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}
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sub lerp(float v0, float v1, float t) -> float {
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; Linear interpolation (LERP)
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; Precise method, which guarantees v = v1 when t = 1.
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; returns an interpolation between two inputs (v0, v1) for a parameter t in the closed unit interval [0, 1]
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return (1 - t) * v0 + t * v1
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}
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sub lerp_fast(float v0, float v1, float t) -> float {
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; Linear interpolation (LERP)
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; Imprecise (but slightly faster) method, which does not guarantee v = v1 when t = 1
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; returns an interpolation between two inputs (v0, v1) for a parameter t in the closed unit interval [0, 1]
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return v0 + t * (v1 - v0)
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}
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sub interpolate(float v, float inputMin, float inputMax, float outputMin, float outputMax) -> float {
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; Interpolate a value v in interval [inputMin, inputMax] to output interval [outputMin, outputMax]
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if outputMin==outputMax
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return outputMin
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v = (v - inputMin) / (inputMax - inputMin)
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return v * (outputMax - outputMin) + outputMin
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}
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}
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