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< meta http-equiv = "content-type" content = "text/html; charset=UTF-8" >
< title > Mu - 509bezier.mu< / title >
< meta name = "Generator" content = "Vim/8.1" >
< meta name = "plugin-version" content = "vim8.1_v1" >
< meta name = "syntax" content = "none" >
< meta name = "settings" content = "number_lines,use_css,pre_wrap,no_foldcolumn,expand_tabs,line_ids,prevent_copy=" >
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< a href = 'https://github.com/akkartik/mu/blob/main/509bezier.mu' > https://github.com/akkartik/mu/blob/main/509bezier.mu< / a >
< pre id = 'vimCodeElement' >
< span id = "L1" class = "LineNr" > 1 < / span > < span class = "muComment" > # Draw a second-degree bezier curve using 3 control points.< / span >
< span id = "L2" class = "LineNr" > 2 < / span > < span class = "muComment" > #< / span >
< span id = "L3" class = "LineNr" > 3 < / span > < span class = "muComment" > # < a href = "http://members.chello.at/easyfilter/bresenham.html" > http://members.chello.at/easyfilter/bresenham.html< / a > says that this algorithm< / span >
< span id = "L4" class = "LineNr" > 4 < / span > < span class = "muComment" > # works only if " the gradient does not change sign" . Either:< / span >
< span id = "L5" class = "LineNr" > 5 < / span > < span class = "muComment" > # x0 > = x1 > = x2< / span >
< span id = "L6" class = "LineNr" > 6 < / span > < span class = "muComment" > # or:< / span >
< span id = "L7" class = "LineNr" > 7 < / span > < span class = "muComment" > # x0 < = x1 < = x2< / span >
< span id = "L8" class = "LineNr" > 8 < / span > < span class = "muComment" > # Similarly for y0, y1 and y2.< / span >
< span id = "L9" class = "LineNr" > 9 < / span > < span class = "muComment" > #< / span >
< span id = "L10" class = "LineNr" > 10 < / span > < span class = "muComment" > # This seems superficially similar to the notions of convex and concave, but I< / span >
< span id = "L11" class = "LineNr" > 11 < / span > < span class = "muComment" > # think it isn't. I think it's purely a property of the frame of reference.< / span >
< span id = "L12" class = "LineNr" > 12 < / span > < span class = "muComment" > # Rotating the axes can make the gradient change sign or stop changing sign< / span >
< span id = "L13" class = "LineNr" > 13 < / span > < span class = "muComment" > # even as 3 points preserve fixed relative bearings to each other.< / span >
< span id = "L14" class = "LineNr" > 14 < / span > < span class = "PreProc" > fn< / span > < span class = "muFunction" > < a href = '509bezier.mu.html#L14' > draw-monotonic-bezier< / a > < / span > < a href = '500fake-screen.mu.html#L14' > screen< / a > : (addr < a href = '500fake-screen.mu.html#L14' > screen< / a > ), x0: int, y0: int, x1: int, y1: int, x2: int, y2: int, color: int < span class = "Delimiter" > {< / span >
< span id = "L15" class = "LineNr" > 15 < / span > < span class = "PreProc" > var< / span > xx: int
< span id = "L16" class = "LineNr" > 16 < / span > < span class = "PreProc" > var< / span > yy: int
< span id = "L17" class = "LineNr" > 17 < / span > < span class = "PreProc" > var< / span > xy: int
< span id = "L18" class = "LineNr" > 18 < / span > < span class = "PreProc" > var< / span > sx: int
< span id = "L19" class = "LineNr" > 19 < / span > < span class = "PreProc" > var< / span > sy: int
< span id = "L20" class = "LineNr" > 20 < / span > < span class = "muComment" > # sx = x2-x1< / span >
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< span id = "L21" class = "LineNr" > 21 < / span > < span class = "PreProc" > var< / span > tmp/< span class = "muRegEax" > eax< / span > : int < span class = "Special" > < -< / span > copy x2
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< span id = "L22" class = "LineNr" > 22 < / span > tmp < span class = "Special" > < -< / span > subtract x1
< span id = "L23" class = "LineNr" > 23 < / span > copy-to sx, tmp
< span id = "L24" class = "LineNr" > 24 < / span > < span class = "muComment" > # sy = y2-y1< / span >
< span id = "L25" class = "LineNr" > 25 < / span > tmp < span class = "Special" > < -< / span > copy y2
< span id = "L26" class = "LineNr" > 26 < / span > tmp < span class = "Special" > < -< / span > subtract y1
< span id = "L27" class = "LineNr" > 27 < / span > copy-to sy, tmp
< span id = "L28" class = "LineNr" > 28 < / span > < span class = "muComment" > # xx = x0-x1< / span >
< span id = "L29" class = "LineNr" > 29 < / span > tmp < span class = "Special" > < -< / span > copy x0
< span id = "L30" class = "LineNr" > 30 < / span > tmp < span class = "Special" > < -< / span > subtract x1
< span id = "L31" class = "LineNr" > 31 < / span > copy-to xx, tmp
< span id = "L32" class = "LineNr" > 32 < / span > < span class = "muComment" > # yy = y0-y1< / span >
< span id = "L33" class = "LineNr" > 33 < / span > tmp < span class = "Special" > < -< / span > copy y0
< span id = "L34" class = "LineNr" > 34 < / span > tmp < span class = "Special" > < -< / span > subtract y1
< span id = "L35" class = "LineNr" > 35 < / span > copy-to yy, tmp
< span id = "L36" class = "LineNr" > 36 < / span > < span class = "muComment" > # cur = xx*sy - yy*sx< / span >
< span id = "L37" class = "LineNr" > 37 < / span > < span class = "PreProc" > var< / span > cur-f/< span class = "Constant" > xmm4< / span > : float < span class = "Special" > < -< / span > convert xx
< span id = "L38" class = "LineNr" > 38 < / span > < span class = "Delimiter" > {< / span >
< span id = "L39" class = "LineNr" > 39 < / span > < span class = "PreProc" > var< / span > sy-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert sy
< span id = "L40" class = "LineNr" > 40 < / span > cur-f < span class = "Special" > < -< / span > multiply sy-f
< span id = "L41" class = "LineNr" > 41 < / span > < span class = "PreProc" > var< / span > tmp2-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert yy
< span id = "L42" class = "LineNr" > 42 < / span > < span class = "PreProc" > var< / span > sx-f/< span class = "Constant" > xmm2< / span > : float < span class = "Special" > < -< / span > convert sx
< span id = "L43" class = "LineNr" > 43 < / span > tmp2-f < span class = "Special" > < -< / span > multiply sx-f
< span id = "L44" class = "LineNr" > 44 < / span > cur-f < span class = "Special" > < -< / span > subtract tmp2-f
< span id = "L45" class = "LineNr" > 45 < / span > < span class = "Delimiter" > }< / span >
< span id = "L46" class = "LineNr" > 46 < / span > < span class = "muComment" > # if (xx*sx > 0) abort< / span >
< span id = "L47" class = "LineNr" > 47 < / span > < span class = "Delimiter" > {< / span >
< span id = "L48" class = "LineNr" > 48 < / span > tmp < span class = "Special" > < -< / span > copy xx
< span id = "L49" class = "LineNr" > 49 < / span > tmp < span class = "Special" > < -< / span > multiply sx
< span id = "L50" class = "LineNr" > 50 < / span > compare tmp, < span class = "Constant" > 0< / span >
< span id = "L51" class = "LineNr" > 51 < / span > < span class = "PreProc" > break-if-< =< / span >
< span id = "L52" class = "LineNr" > 52 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: gradient of x changes sign" < / span >
< span id = "L53" class = "LineNr" > 53 < / span > < span class = "Delimiter" > }< / span >
< span id = "L54" class = "LineNr" > 54 < / span > < span class = "muComment" > # if (yy*sy > 0) abort< / span >
< span id = "L55" class = "LineNr" > 55 < / span > < span class = "Delimiter" > {< / span >
< span id = "L56" class = "LineNr" > 56 < / span > tmp < span class = "Special" > < -< / span > copy yy
< span id = "L57" class = "LineNr" > 57 < / span > tmp < span class = "Special" > < -< / span > multiply sy
< span id = "L58" class = "LineNr" > 58 < / span > compare tmp, < span class = "Constant" > 0< / span >
< span id = "L59" class = "LineNr" > 59 < / span > < span class = "PreProc" > break-if-< =< / span >
< span id = "L60" class = "LineNr" > 60 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: gradient of y changes sign" < / span >
< span id = "L61" class = "LineNr" > 61 < / span > < span class = "Delimiter" > }< / span >
< span id = "L62" class = "LineNr" > 62 < / span > < span class = "muComment" > # swap P0 and P2 if necessary< / span >
< span id = "L63" class = "LineNr" > 63 < / span > < span class = "Delimiter" > {< / span >
< span id = "L64" class = "LineNr" > 64 < / span > < span class = "muComment" > # dist1 = sx*sx + sy*sy< / span >
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< span id = "L65" class = "LineNr" > 65 < / span > < span class = "PreProc" > var< / span > dist1/< span class = "muRegEcx" > ecx< / span > : int < span class = "Special" > < -< / span > copy sx
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< span id = "L66" class = "LineNr" > 66 < / span > < span class = "Delimiter" > {< / span >
< span id = "L67" class = "LineNr" > 67 < / span > dist1 < span class = "Special" > < -< / span > multiply sx
< span id = "L68" class = "LineNr" > 68 < / span > < span class = "Delimiter" > {< / span >
< span id = "L69" class = "LineNr" > 69 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L70" class = "LineNr" > 70 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 1" < / span >
< span id = "L71" class = "LineNr" > 71 < / span > < span class = "Delimiter" > }< / span >
< span id = "L72" class = "LineNr" > 72 < / span > tmp < span class = "Special" > < -< / span > copy sy
< span id = "L73" class = "LineNr" > 73 < / span > tmp < span class = "Special" > < -< / span > multiply sy
< span id = "L74" class = "LineNr" > 74 < / span > < span class = "Delimiter" > {< / span >
< span id = "L75" class = "LineNr" > 75 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L76" class = "LineNr" > 76 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 2" < / span >
< span id = "L77" class = "LineNr" > 77 < / span > < span class = "Delimiter" > }< / span >
< span id = "L78" class = "LineNr" > 78 < / span > dist1 < span class = "Special" > < -< / span > add tmp
< span id = "L79" class = "LineNr" > 79 < / span > < span class = "Delimiter" > }< / span >
< span id = "L80" class = "LineNr" > 80 < / span > < span class = "muComment" > # dist2 = xx*xx + yy*yy< / span >
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< span id = "L81" class = "LineNr" > 81 < / span > < span class = "PreProc" > var< / span > dist2/< span class = "muRegEdx" > edx< / span > : int < span class = "Special" > < -< / span > copy xx
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< span id = "L82" class = "LineNr" > 82 < / span > < span class = "Delimiter" > {< / span >
< span id = "L83" class = "LineNr" > 83 < / span > dist2 < span class = "Special" > < -< / span > multiply xx
< span id = "L84" class = "LineNr" > 84 < / span > < span class = "Delimiter" > {< / span >
< span id = "L85" class = "LineNr" > 85 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L86" class = "LineNr" > 86 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 3" < / span >
< span id = "L87" class = "LineNr" > 87 < / span > < span class = "Delimiter" > }< / span >
< span id = "L88" class = "LineNr" > 88 < / span > tmp < span class = "Special" > < -< / span > copy yy
< span id = "L89" class = "LineNr" > 89 < / span > tmp < span class = "Special" > < -< / span > multiply yy
< span id = "L90" class = "LineNr" > 90 < / span > < span class = "Delimiter" > {< / span >
< span id = "L91" class = "LineNr" > 91 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L92" class = "LineNr" > 92 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 4" < / span >
< span id = "L93" class = "LineNr" > 93 < / span > < span class = "Delimiter" > }< / span >
< span id = "L94" class = "LineNr" > 94 < / span > dist2 < span class = "Special" > < -< / span > add tmp
< span id = "L95" class = "LineNr" > 95 < / span > < span class = "Delimiter" > }< / span >
< span id = "L96" class = "LineNr" > 96 < / span > < span class = "muComment" > # if (dist1 < = dist2) break< / span >
< span id = "L97" class = "LineNr" > 97 < / span > compare dist1, dist2
< span id = "L98" class = "LineNr" > 98 < / span > < span class = "PreProc" > break-if-< =< / span >
< span id = "L99" class = "LineNr" > 99 < / span > < span class = "muComment" > # swap x0 and x2< / span >
< span id = "L100" class = "LineNr" > 100 < / span > tmp < span class = "Special" > < -< / span > copy x0
< span id = "L101" class = "LineNr" > 101 < / span > copy-to x2, tmp
< span id = "L102" class = "LineNr" > 102 < / span > tmp < span class = "Special" > < -< / span > copy sx
< span id = "L103" class = "LineNr" > 103 < / span > tmp < span class = "Special" > < -< / span > add x1
< span id = "L104" class = "LineNr" > 104 < / span > copy-to x0, tmp
< span id = "L105" class = "LineNr" > 105 < / span > < span class = "muComment" > # swap y0 and y2< / span >
< span id = "L106" class = "LineNr" > 106 < / span > tmp < span class = "Special" > < -< / span > copy y0
< span id = "L107" class = "LineNr" > 107 < / span > copy-to y2, tmp
< span id = "L108" class = "LineNr" > 108 < / span > tmp < span class = "Special" > < -< / span > copy sy
< span id = "L109" class = "LineNr" > 109 < / span > tmp < span class = "Special" > < -< / span > add y1
< span id = "L110" class = "LineNr" > 110 < / span > copy-to y0, tmp
< span id = "L111" class = "LineNr" > 111 < / span > < span class = "muComment" > # cur = -cur< / span >
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< span id = "L112" class = "LineNr" > 112 < / span > < span class = "PreProc" > var< / span > negative-1/< span class = "muRegEax" > eax< / span > : int < span class = "Special" > < -< / span > copy < span class = "Constant" > -1< / span >
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< span id = "L113" class = "LineNr" > 113 < / span > < span class = "PreProc" > var< / span > negative-1-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert negative-1
< span id = "L114" class = "LineNr" > 114 < / span > cur-f < span class = "Special" > < -< / span > multiply negative-1-f
< span id = "L115" class = "LineNr" > 115 < / span > < span class = "Delimiter" > }< / span >
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< span id = "L116" class = "LineNr" > 116 < / span > < span class = "PreProc" > var< / span > x/< span class = "muRegEcx" > ecx< / span > : int < span class = "Special" > < -< / span > copy x0
< span id = "L117" class = "LineNr" > 117 < / span > < span class = "PreProc" > var< / span > y/< span class = "muRegEdx" > edx< / span > : int < span class = "Special" > < -< / span > copy y0
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< span id = "L118" class = "LineNr" > 118 < / span > < span class = "PreProc" > var< / span > zero-f: float
< span id = "L119" class = "LineNr" > 119 < / span > < span class = "muComment" > # plot a curved part if necessary< / span >
< span id = "L120" class = "LineNr" > 120 < / span > $draw-monotonic-bezier:curve: < span class = "Delimiter" > {< / span >
< span id = "L121" class = "LineNr" > 121 < / span > compare cur-f, zero-f
< span id = "L122" class = "LineNr" > 122 < / span > < span class = "PreProc" > break-if-=< / span >
< span id = "L123" class = "LineNr" > 123 < / span > < span class = "muComment" > # xx += sx< / span >
< span id = "L124" class = "LineNr" > 124 < / span > tmp < span class = "Special" > < -< / span > copy sx
< span id = "L125" class = "LineNr" > 125 < / span > add-to xx, tmp
< span id = "L126" class = "LineNr" > 126 < / span > < span class = "muComment" > # sx = sgn(x2-x)< / span >
< span id = "L127" class = "LineNr" > 127 < / span > tmp < span class = "Special" > < -< / span > copy x2
< span id = "L128" class = "LineNr" > 128 < / span > tmp < span class = "Special" > < -< / span > subtract x
< span id = "L129" class = "LineNr" > 129 < / span > tmp < span class = "Special" > < -< / span > < a href = '506math.mu.html#L10' > sgn< / a > tmp
< span id = "L130" class = "LineNr" > 130 < / span > copy-to sx, tmp
< span id = "L131" class = "LineNr" > 131 < / span > < span class = "muComment" > # xx *= sx< / span >
< span id = "L132" class = "LineNr" > 132 < / span > tmp < span class = "Special" > < -< / span > copy sx
< span id = "L133" class = "LineNr" > 133 < / span > tmp < span class = "Special" > < -< / span > multiply xx
< span id = "L134" class = "LineNr" > 134 < / span > copy-to xx, tmp
< span id = "L135" class = "LineNr" > 135 < / span > < span class = "muComment" > # yy += sy< / span >
< span id = "L136" class = "LineNr" > 136 < / span > tmp < span class = "Special" > < -< / span > copy sy
< span id = "L137" class = "LineNr" > 137 < / span > add-to yy, tmp
< span id = "L138" class = "LineNr" > 138 < / span > < span class = "muComment" > # sy = sgn(y2-y)< / span >
< span id = "L139" class = "LineNr" > 139 < / span > tmp < span class = "Special" > < -< / span > copy y2
< span id = "L140" class = "LineNr" > 140 < / span > tmp < span class = "Special" > < -< / span > subtract y
< span id = "L141" class = "LineNr" > 141 < / span > tmp < span class = "Special" > < -< / span > < a href = '506math.mu.html#L10' > sgn< / a > tmp
< span id = "L142" class = "LineNr" > 142 < / span > copy-to sy, tmp
< span id = "L143" class = "LineNr" > 143 < / span > < span class = "muComment" > # yy *= sy< / span >
< span id = "L144" class = "LineNr" > 144 < / span > tmp < span class = "Special" > < -< / span > copy sy
< span id = "L145" class = "LineNr" > 145 < / span > tmp < span class = "Special" > < -< / span > multiply yy
< span id = "L146" class = "LineNr" > 146 < / span > copy-to yy, tmp
< span id = "L147" class = "LineNr" > 147 < / span > < span class = "muComment" > # xy = 2*xx*xy< / span >
< span id = "L148" class = "LineNr" > 148 < / span > tmp < span class = "Special" > < -< / span > copy xx
< span id = "L149" class = "LineNr" > 149 < / span > tmp < span class = "Special" > < -< / span > multiply yy
< span id = "L150" class = "LineNr" > 150 < / span > < span class = "Delimiter" > {< / span >
< span id = "L151" class = "LineNr" > 151 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L152" class = "LineNr" > 152 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 5" < / span >
< span id = "L153" class = "LineNr" > 153 < / span > < span class = "Delimiter" > }< / span >
< span id = "L154" class = "LineNr" > 154 < / span > tmp < span class = "Special" > < -< / span > shift-left < span class = "Constant" > 1< / span >
< span id = "L155" class = "LineNr" > 155 < / span > < span class = "Delimiter" > {< / span >
< span id = "L156" class = "LineNr" > 156 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L157" class = "LineNr" > 157 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 6" < / span >
< span id = "L158" class = "LineNr" > 158 < / span > < span class = "Delimiter" > }< / span >
< span id = "L159" class = "LineNr" > 159 < / span > copy-to xy, tmp
< span id = "L160" class = "LineNr" > 160 < / span > < span class = "muComment" > # xx *= xx< / span >
< span id = "L161" class = "LineNr" > 161 < / span > tmp < span class = "Special" > < -< / span > copy xx
< span id = "L162" class = "LineNr" > 162 < / span > tmp < span class = "Special" > < -< / span > multiply tmp
< span id = "L163" class = "LineNr" > 163 < / span > < span class = "Delimiter" > {< / span >
< span id = "L164" class = "LineNr" > 164 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L165" class = "LineNr" > 165 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 7" < / span >
< span id = "L166" class = "LineNr" > 166 < / span > < span class = "Delimiter" > }< / span >
< span id = "L167" class = "LineNr" > 167 < / span > copy-to xx, tmp
< span id = "L168" class = "LineNr" > 168 < / span > < span class = "muComment" > # yy *= yy< / span >
< span id = "L169" class = "LineNr" > 169 < / span > tmp < span class = "Special" > < -< / span > copy yy
< span id = "L170" class = "LineNr" > 170 < / span > tmp < span class = "Special" > < -< / span > multiply tmp
< span id = "L171" class = "LineNr" > 171 < / span > < span class = "Delimiter" > {< / span >
< span id = "L172" class = "LineNr" > 172 < / span > < span class = "PreProc" > break-if-not-overflow< / span >
< span id = "L173" class = "LineNr" > 173 < / span > < a href = '317abort.subx.html#L5' > abort< / a > < span class = "Constant" > " bezier: overflow 7" < / span >
< span id = "L174" class = "LineNr" > 174 < / span > < span class = "Delimiter" > }< / span >
< span id = "L175" class = "LineNr" > 175 < / span > copy-to yy, tmp
< span id = "L176" class = "LineNr" > 176 < / span > < span class = "muComment" > # if (cur*sx*sy < 0) negative curvature< / span >
< span id = "L177" class = "LineNr" > 177 < / span > < span class = "Delimiter" > {< / span >
< span id = "L178" class = "LineNr" > 178 < / span > < span class = "PreProc" > var< / span > tmp-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > copy cur-f
< span id = "L179" class = "LineNr" > 179 < / span > < span class = "PreProc" > var< / span > sx-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert sx
< span id = "L180" class = "LineNr" > 180 < / span > tmp-f < span class = "Special" > < -< / span > multiply sx-f
< span id = "L181" class = "LineNr" > 181 < / span > < span class = "PreProc" > var< / span > sy-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert sy
< span id = "L182" class = "LineNr" > 182 < / span > tmp-f < span class = "Special" > < -< / span > multiply sy-f
< span id = "L183" class = "LineNr" > 183 < / span > compare tmp-f, zero-f
< span id = "L184" class = "LineNr" > 184 < / span > < span class = "PreProc" > break-if-float> =< / span >
< span id = "L185" class = "LineNr" > 185 < / span > < span class = "muComment" > #< / span >
< span id = "L186" class = "LineNr" > 186 < / span > negate xx
< span id = "L187" class = "LineNr" > 187 < / span > negate yy
< span id = "L188" class = "LineNr" > 188 < / span > negate xy
< span id = "L189" class = "LineNr" > 189 < / span > < span class = "muComment" > # cur = -cur< / span >
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< span id = "L190" class = "LineNr" > 190 < / span > < span class = "PreProc" > var< / span > negative-1/< span class = "muRegEax" > eax< / span > : int < span class = "Special" > < -< / span > copy < span class = "Constant" > -1< / span >
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< span id = "L191" class = "LineNr" > 191 < / span > < span class = "PreProc" > var< / span > negative-1-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert negative-1
< span id = "L192" class = "LineNr" > 192 < / span > cur-f < span class = "Special" > < -< / span > multiply negative-1-f
< span id = "L193" class = "LineNr" > 193 < / span > < span class = "Delimiter" > }< / span >
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< span id = "L194" class = "LineNr" > 194 < / span > < span class = "PreProc" > var< / span > four/< span class = "muRegEbx" > ebx< / span > : int < span class = "Special" > < -< / span > copy < span class = "Constant" > 4< / span >
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< span id = "L195" class = "LineNr" > 195 < / span > < span class = "PreProc" > var< / span > dx-f/< span class = "Constant" > xmm5< / span > : float < span class = "Special" > < -< / span > convert four
< span id = "L196" class = "LineNr" > 196 < / span > < span class = "PreProc" > var< / span > dy-f/< span class = "Constant" > xmm6< / span > : float < span class = "Special" > < -< / span > convert four
< span id = "L197" class = "LineNr" > 197 < / span > < span class = "muComment" > # dx = 4*sy*cur*(x1-x0) + xx - xy< / span >
< span id = "L198" class = "LineNr" > 198 < / span > < span class = "Delimiter" > {< / span >
< span id = "L199" class = "LineNr" > 199 < / span > < span class = "PreProc" > var< / span > tmp/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert sy
< span id = "L200" class = "LineNr" > 200 < / span > dx-f < span class = "Special" > < -< / span > multiply tmp
< span id = "L201" class = "LineNr" > 201 < / span > dx-f < span class = "Special" > < -< / span > multiply cur-f
< span id = "L202" class = "LineNr" > 202 < / span > tmp < span class = "Special" > < -< / span > convert x1
< span id = "L203" class = "LineNr" > 203 < / span > < span class = "PreProc" > var< / span > tmp2/< span class = "Constant" > xmm3< / span > : float < span class = "Special" > < -< / span > convert x
< span id = "L204" class = "LineNr" > 204 < / span > tmp < span class = "Special" > < -< / span > subtract tmp2
< span id = "L205" class = "LineNr" > 205 < / span > dx-f < span class = "Special" > < -< / span > multiply tmp
< span id = "L206" class = "LineNr" > 206 < / span > tmp < span class = "Special" > < -< / span > convert xx
< span id = "L207" class = "LineNr" > 207 < / span > dx-f < span class = "Special" > < -< / span > add tmp
< span id = "L208" class = "LineNr" > 208 < / span > tmp < span class = "Special" > < -< / span > convert xy
< span id = "L209" class = "LineNr" > 209 < / span > dx-f < span class = "Special" > < -< / span > subtract tmp
< span id = "L210" class = "LineNr" > 210 < / span > < span class = "Delimiter" > }< / span >
< span id = "L211" class = "LineNr" > 211 < / span > < span class = "muComment" > # dy-f = 4*sx*cur*(y0-y1) + yy - xy< / span >
< span id = "L212" class = "LineNr" > 212 < / span > < span class = "Delimiter" > {< / span >
< span id = "L213" class = "LineNr" > 213 < / span > < span class = "PreProc" > var< / span > tmp/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert sx
< span id = "L214" class = "LineNr" > 214 < / span > dy-f < span class = "Special" > < -< / span > multiply tmp
< span id = "L215" class = "LineNr" > 215 < / span > dy-f < span class = "Special" > < -< / span > multiply cur-f
< span id = "L216" class = "LineNr" > 216 < / span > tmp < span class = "Special" > < -< / span > convert y
< span id = "L217" class = "LineNr" > 217 < / span > < span class = "PreProc" > var< / span > tmp2/< span class = "Constant" > xmm3< / span > : float < span class = "Special" > < -< / span > convert y1
< span id = "L218" class = "LineNr" > 218 < / span > tmp < span class = "Special" > < -< / span > subtract tmp2
< span id = "L219" class = "LineNr" > 219 < / span > dy-f < span class = "Special" > < -< / span > multiply tmp
< span id = "L220" class = "LineNr" > 220 < / span > tmp < span class = "Special" > < -< / span > convert yy
< span id = "L221" class = "LineNr" > 221 < / span > dy-f < span class = "Special" > < -< / span > add tmp
< span id = "L222" class = "LineNr" > 222 < / span > tmp < span class = "Special" > < -< / span > convert xy
< span id = "L223" class = "LineNr" > 223 < / span > dy-f < span class = "Special" > < -< / span > subtract tmp
< span id = "L224" class = "LineNr" > 224 < / span > < span class = "Delimiter" > }< / span >
< span id = "L225" class = "LineNr" > 225 < / span > < span class = "muComment" > # xx += xx< / span >
< span id = "L226" class = "LineNr" > 226 < / span > tmp < span class = "Special" > < -< / span > copy xx
< span id = "L227" class = "LineNr" > 227 < / span > add-to xx, tmp
< span id = "L228" class = "LineNr" > 228 < / span > < span class = "muComment" > # yy += yy< / span >
< span id = "L229" class = "LineNr" > 229 < / span > tmp < span class = "Special" > < -< / span > copy yy
< span id = "L230" class = "LineNr" > 230 < / span > add-to yy, tmp
< span id = "L231" class = "LineNr" > 231 < / span > < span class = "muComment" > # err = dx+dy+xy< / span >
< span id = "L232" class = "LineNr" > 232 < / span > < span class = "PreProc" > var< / span > err-f/< span class = "Constant" > xmm7< / span > : float < span class = "Special" > < -< / span > copy dx-f
< span id = "L233" class = "LineNr" > 233 < / span > err-f < span class = "Special" > < -< / span > add dy-f
< span id = "L234" class = "LineNr" > 234 < / span > < span class = "PreProc" > var< / span > xy-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert xy
< span id = "L235" class = "LineNr" > 235 < / span > err-f < span class = "Special" > < -< / span > add xy-f
< span id = "L236" class = "LineNr" > 236 < / span > < span class = "muComment" > #< / span >
< span id = "L237" class = "LineNr" > 237 < / span > $draw-monotonic-bezier:< span class = "PreProc" > loop< / span > : < span class = "Delimiter" > {< / span >
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< span id = "L238" class = "LineNr" > 238 < / span > < a href = '500fake-screen.mu.html#L483' > pixel< / a > < a href = '500fake-screen.mu.html#L14' > screen< / a > , x, y, color
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< span id = "L239" class = "LineNr" > 239 < / span > < span class = "muComment" > # if (x == x2 & & y == y2) return< / span >
< span id = "L240" class = "LineNr" > 240 < / span > < span class = "Delimiter" > {< / span >
< span id = "L241" class = "LineNr" > 241 < / span > compare x, x2
< span id = "L242" class = "LineNr" > 242 < / span > < span class = "PreProc" > break-if-!=< / span >
< span id = "L243" class = "LineNr" > 243 < / span > compare y, y2
< span id = "L244" class = "LineNr" > 244 < / span > < span class = "PreProc" > break-if-!=< / span >
< span id = "L245" class = "LineNr" > 245 < / span > < span class = "PreProc" > return< / span >
< span id = "L246" class = "LineNr" > 246 < / span > < span class = "Delimiter" > }< / span >
< span id = "L247" class = "LineNr" > 247 < / span > < span class = "muComment" > # perform-y-step? = (2*err < dx)< / span >
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< span id = "L248" class = "LineNr" > 248 < / span > < span class = "PreProc" > var< / span > perform-y-step?/< span class = "muRegEax" > eax< / span > : boolean < span class = "Special" > < -< / span > copy < span class = "Constant" > 0< / span > /false
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< span id = "L249" class = "LineNr" > 249 < / span > < span class = "PreProc" > var< / span > two-err-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > copy err-f
< span id = "L250" class = "LineNr" > 250 < / span > < span class = "Delimiter" > {< / span >
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< span id = "L251" class = "LineNr" > 251 < / span > < span class = "PreProc" > var< / span > two/< span class = "muRegEbx" > ebx< / span > : int < span class = "Special" > < -< / span > copy < span class = "Constant" > 2< / span >
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< span id = "L252" class = "LineNr" > 252 < / span > < span class = "PreProc" > var< / span > two-f/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert two
< span id = "L253" class = "LineNr" > 253 < / span > two-err-f < span class = "Special" > < -< / span > multiply two-f
< span id = "L254" class = "LineNr" > 254 < / span > compare two-err-f, dx-f
< span id = "L255" class = "LineNr" > 255 < / span > < span class = "PreProc" > break-if-float> =< / span >
< span id = "L256" class = "LineNr" > 256 < / span > perform-y-step? < span class = "Special" > < -< / span > copy < span class = "Constant" > 1< / span > /true
< span id = "L257" class = "LineNr" > 257 < / span > < span class = "Delimiter" > }< / span >
< span id = "L258" class = "LineNr" > 258 < / span > < span class = "muComment" > # if (2*err > dy)< / span >
< span id = "L259" class = "LineNr" > 259 < / span > < span class = "Delimiter" > {< / span >
< span id = "L260" class = "LineNr" > 260 < / span > compare two-err-f, dy-f
< span id = "L261" class = "LineNr" > 261 < / span > < span class = "PreProc" > break-if-float< =< / span >
< span id = "L262" class = "LineNr" > 262 < / span > < span class = "muComment" > # x += sx< / span >
< span id = "L263" class = "LineNr" > 263 < / span > x < span class = "Special" > < -< / span > add sx
< span id = "L264" class = "LineNr" > 264 < / span > < span class = "muComment" > # dx -= xy< / span >
< span id = "L265" class = "LineNr" > 265 < / span > < span class = "PreProc" > var< / span > xy-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert xy
< span id = "L266" class = "LineNr" > 266 < / span > dx-f < span class = "Special" > < -< / span > subtract xy-f
< span id = "L267" class = "LineNr" > 267 < / span > < span class = "muComment" > # dy += yy< / span >
< span id = "L268" class = "LineNr" > 268 < / span > < span class = "PreProc" > var< / span > yy-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert yy
< span id = "L269" class = "LineNr" > 269 < / span > dy-f < span class = "Special" > < -< / span > add yy-f
< span id = "L270" class = "LineNr" > 270 < / span > < span class = "muComment" > # err += dy< / span >
< span id = "L271" class = "LineNr" > 271 < / span > err-f < span class = "Special" > < -< / span > add dy-f
< span id = "L272" class = "LineNr" > 272 < / span > < span class = "Delimiter" > }< / span >
< span id = "L273" class = "LineNr" > 273 < / span > < span class = "muComment" > # if perform-y-step?< / span >
< span id = "L274" class = "LineNr" > 274 < / span > < span class = "Delimiter" > {< / span >
< span id = "L275" class = "LineNr" > 275 < / span > compare perform-y-step?, < span class = "Constant" > 0< / span > /false
< span id = "L276" class = "LineNr" > 276 < / span > < span class = "PreProc" > break-if-=< / span >
< span id = "L277" class = "LineNr" > 277 < / span > < span class = "muComment" > # y += sy< / span >
< span id = "L278" class = "LineNr" > 278 < / span > y < span class = "Special" > < -< / span > add sy
< span id = "L279" class = "LineNr" > 279 < / span > < span class = "muComment" > # dy -= xy< / span >
< span id = "L280" class = "LineNr" > 280 < / span > < span class = "PreProc" > var< / span > xy-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert xy
< span id = "L281" class = "LineNr" > 281 < / span > dy-f < span class = "Special" > < -< / span > subtract xy-f
< span id = "L282" class = "LineNr" > 282 < / span > < span class = "muComment" > # dx += xx< / span >
< span id = "L283" class = "LineNr" > 283 < / span > < span class = "PreProc" > var< / span > xx-f/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert xx
< span id = "L284" class = "LineNr" > 284 < / span > dx-f < span class = "Special" > < -< / span > add xx-f
< span id = "L285" class = "LineNr" > 285 < / span > < span class = "muComment" > # err += dx< / span >
< span id = "L286" class = "LineNr" > 286 < / span > err-f < span class = "Special" > < -< / span > add dx-f
< span id = "L287" class = "LineNr" > 287 < / span > < span class = "Delimiter" > }< / span >
< span id = "L288" class = "LineNr" > 288 < / span > < span class = "muComment" > # if (dy < dx) loop< / span >
< span id = "L289" class = "LineNr" > 289 < / span > compare dy-f, dx-f
< span id = "L290" class = "LineNr" > 290 < / span > < span class = "PreProc" > loop-if-float< < / span >
< span id = "L291" class = "LineNr" > 291 < / span > < span class = "Delimiter" > }< / span >
< span id = "L292" class = "LineNr" > 292 < / span > < span class = "Delimiter" > }< / span >
< span id = "L293" class = "LineNr" > 293 < / span > < span class = "muComment" > # plot the remaining straight line< / span >
< span id = "L294" class = "LineNr" > 294 < / span > < a href = '507line.mu.html#L1' > draw-line< / a > < a href = '500fake-screen.mu.html#L14' > screen< / a > , x y, x2 y2, color
< span id = "L295" class = "LineNr" > 295 < / span > < span class = "Delimiter" > }< / span >
< span id = "L296" class = "LineNr" > 296 < / span >
< span id = "L297" class = "LineNr" > 297 < / span > < span class = "muComment" > # 0 < = u < = 1< / span >
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< span id = "L298" class = "LineNr" > 298 < / span > < span class = "PreProc" > fn< / span > < span class = "muFunction" > < a href = '509bezier.mu.html#L298' > bezier-point< / a > < / span > u: float, x0: int, x1: int, x2: int< span class = "PreProc" > -> < / span > _/< span class = "muRegEax" > eax< / span > : int < span class = "Delimiter" > {< / span >
< span id = "L299" class = "LineNr" > 299 < / span > < span class = "PreProc" > var< / span > one/< span class = "muRegEax" > eax< / span > : int < span class = "Special" > < -< / span > copy < span class = "Constant" > 1< / span >
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< span id = "L300" class = "LineNr" > 300 < / span > < span class = "PreProc" > var< / span > u-prime/< span class = "Constant" > xmm0< / span > : float < span class = "Special" > < -< / span > convert one
< span id = "L301" class = "LineNr" > 301 < / span > u-prime < span class = "Special" > < -< / span > subtract u
< span id = "L302" class = "LineNr" > 302 < / span > < span class = "PreProc" > var< / span > result/< span class = "Constant" > xmm1< / span > : float < span class = "Special" > < -< / span > convert x0
< span id = "L303" class = "LineNr" > 303 < / span > result < span class = "Special" > < -< / span > multiply u-prime
< span id = "L304" class = "LineNr" > 304 < / span > result < span class = "Special" > < -< / span > multiply u-prime
< span id = "L305" class = "LineNr" > 305 < / span > < span class = "PreProc" > var< / span > term2/< span class = "Constant" > xmm2< / span > : float < span class = "Special" > < -< / span > convert x1
< span id = "L306" class = "LineNr" > 306 < / span > term2 < span class = "Special" > < -< / span > multiply u
< span id = "L307" class = "LineNr" > 307 < / span > term2 < span class = "Special" > < -< / span > multiply u-prime
< span id = "L308" class = "LineNr" > 308 < / span > result < span class = "Special" > < -< / span > add term2
< span id = "L309" class = "LineNr" > 309 < / span > result < span class = "Special" > < -< / span > add term2
< span id = "L310" class = "LineNr" > 310 < / span > < span class = "PreProc" > var< / span > term3/< span class = "Constant" > xmm2< / span > : float < span class = "Special" > < -< / span > convert x2
< span id = "L311" class = "LineNr" > 311 < / span > term3 < span class = "Special" > < -< / span > multiply u
< span id = "L312" class = "LineNr" > 312 < / span > term3 < span class = "Special" > < -< / span > multiply u
< span id = "L313" class = "LineNr" > 313 < / span > result < span class = "Special" > < -< / span > add term3
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< span id = "L314" class = "LineNr" > 314 < / span > < span class = "PreProc" > var< / span > result/< span class = "muRegEax" > eax< / span > : int < span class = "Special" > < -< / span > convert result
2021-05-18 20:01:59 +00:00
< span id = "L315" class = "LineNr" > 315 < / span > < span class = "PreProc" > return< / span > result
< span id = "L316" class = "LineNr" > 316 < / span > < span class = "Delimiter" > }< / span >
< / pre >
< / body >
< / html >
<!-- vim: set foldmethod=manual : -->