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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,175 @@ | ||
| unit graphTicks; | ||
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| {$mode objfpc}{$H+} | ||
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| interface | ||
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| procedure SelectTicks(mn, mx: double; out ticMin, ticStep: double; out ticDecimals: integer); | ||
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| implementation | ||
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| uses | ||
| //Dialogs, SysUtils, | ||
| Math; | ||
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| function tickSpacing(tickCount: integer; mn, mx: double; out ticMin: double): double; | ||
| //https://stackoverflow.com/questions/326679/choosing-an-attractive-linear-scale-for-a-graphs-y-axis | ||
| var | ||
| pow10x, x, range, unroundedTickSize: double; | ||
| begin | ||
| ticMin := mn; | ||
| range := abs(mx-mn); | ||
| if range = 0.0 then exit(0); | ||
| unroundedTickSize := range/(tickCount-1); | ||
| x := ceil(log10(unroundedTickSize)-1); | ||
| pow10x := power(10, x); | ||
| result := ceil(unroundedTickSize / pow10x) * pow10x; | ||
| //if mn < 0 then | ||
| // ticMin := ceil((mn+result) / result) * result | ||
| //else | ||
| if frac(mn / result) = 0.0 then exit; | ||
| ticMin := floor((mn+result) / result) * result; | ||
| end; | ||
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| procedure SelectTicks(mn, mx: double; out ticMin, ticStep: double; out ticDecimals: integer); | ||
| var | ||
| imx, imn, range: double; | ||
| begin | ||
| imn := min(mx,mn); | ||
| imx := max(mx,mn); | ||
| range := mx - mn; | ||
| ticStep := tickSpacing(5, imn, imx, ticMin); | ||
| if frac(range / ticStep) <> 0.0 then begin | ||
| ticStep := tickSpacing(6, imn, imx, ticMin); | ||
| if frac(range / ticStep) <> 0.0 then begin | ||
| ticStep := tickSpacing(7, imn, imx, ticMin); | ||
| if frac(range / ticStep) <> 0.0 then begin | ||
| ticStep := tickSpacing(6, imn, imx, ticMin); | ||
| //if (range / ticStep) <> 0.0 then begin | ||
| // ticStep := tickSpacing(5, imn, imx, ticMin); | ||
| //end; | ||
| end; | ||
| end; | ||
| end; | ||
| ticDecimals := 0; | ||
| if ticStep > 1 then exit; | ||
| ticDecimals := abs(floor(log10(ticStep))); | ||
| end; | ||
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| (*type | ||
| TTicks = record | ||
| stepSize, remainder: single; | ||
| decimals: integer; | ||
| end; | ||
| function decimals(v: double): integer; | ||
| var | ||
| f: double; | ||
| begin | ||
| result := 0; | ||
| f := frac(v); | ||
| while (f > 0.001) and (f < 0.999) do begin | ||
| v := v * 10; | ||
| result := result + 1; | ||
| f := frac(v); | ||
| end; | ||
| end; | ||
| function fRemainder(const a,b:double):double; | ||
| begin | ||
| result := a-b * Int(a/b); | ||
| if (result > (0.5 * b)) then result := b - result; | ||
| end; | ||
| function setStepSize(lRange: double; lDesiredSteps: integer): TTicks; | ||
| var | ||
| lPower: integer; | ||
| begin | ||
| result.stepSize := lRange / lDesiredSteps; | ||
| //{$DEFINE OLD} | ||
| {$IFDEF OLD} | ||
| lPower := 0; | ||
| while result.stepSize >= 10 do begin | ||
| result.stepSize := result.stepSize/10; | ||
| inc(lPower); | ||
| end; | ||
| while result.stepSize < 1 do begin | ||
| result.stepSize := result.stepSize * 10; | ||
| dec(lPower); | ||
| end; | ||
| {$ELSE} | ||
| lPower := floor(log10(result.stepSize)); | ||
| result.stepSize := result.stepSize/power(10, lPower); | ||
| {$ENDIF} | ||
| if lPower < 0 then | ||
| result.decimals := abs(lPower) | ||
| else | ||
| result.decimals := 0; | ||
| result.stepSize := round(result.stepSize) * Power(10,lPower); | ||
| result.remainder := fRemainder(lRange, result.stepSize); | ||
| if result.remainder < (0.001* result.stepSize) then | ||
| result.remainder := 0; | ||
| end; | ||
| function setStepSizeForce(lRange: double; lDesiredSteps: integer): TTicks; | ||
| begin | ||
| result.stepSize := lRange / lDesiredSteps; | ||
| result.decimals := decimals(result.stepSize); | ||
| result.remainder := fRemainder(lRange, result.stepSize); | ||
| if result.remainder < (0.001* result.stepSize) then | ||
| result.remainder := 0; | ||
| end; | ||
| procedure SelectTicks(mn, mx: double; out ticMin, ticStep: double; out ticDecimals: integer); | ||
| var | ||
| lStep,lRange: double; | ||
| tic, ticAlt: TTicks; | ||
| begin | ||
| ticMin := 0; | ||
| ticStep := 1; | ||
| ticDecimals := 0; | ||
| lRange := abs(mx - mn); | ||
| if (mn < 0) and (mx > 0) then | ||
| lRange := max(abs(mn),mx);// + (0.5 * min(abs(mn),mx)); | ||
| if lRange < 0.000001 then exit; | ||
| if ((mn < 0) and (mx > 0)) and ((min(abs(mn),mx)/lRange) > 0.65) then begin | ||
| tic := setStepSize(lRange, 2); | ||
| //now try forcing other values | ||
| ticAlt := setStepSizeForce(lRange, 3); | ||
| if (ticAlt.remainder < tic.remainder) and (ticAlt.decimals <= tic.decimals) then | ||
| tic := ticAlt; | ||
| ticAlt := setStepSizeForce(lRange, 4); | ||
| if (ticAlt.remainder < tic.remainder) and (ticAlt.decimals <= tic.decimals) then | ||
| tic := ticAlt; | ||
| end else begin | ||
| tic := setStepSize(lRange, 3); | ||
| //now try forcing other values | ||
| ticAlt := setStepSizeForce(lRange, 2); | ||
| if (ticAlt.remainder < tic.remainder) and (ticAlt.decimals <= tic.decimals) then | ||
| tic := ticAlt; | ||
| ticAlt := setStepSizeForce(lRange, 4); | ||
| if (ticAlt.remainder < tic.remainder) and (ticAlt.decimals <= tic.decimals) then | ||
| tic := ticAlt; | ||
| ticAlt := setStepSizeForce(lRange, 1); | ||
| if (ticAlt.remainder < tic.remainder) and (ticAlt.decimals < tic.decimals) then | ||
| tic := ticAlt; | ||
| end; | ||
| if (mn > 0) and (decimals(mn) <= tic.decimals) then | ||
| lStep := mn | ||
| else | ||
| lStep := trunc((mn) / tic.stepSize)*tic.stepSize; | ||
| if (lStep < (mn)) and ((mn -lStep) > (lStep * 0.001) ) then lStep := lStep+tic.stepSize; | ||
| lStep := 400; | ||
| //showmessage(format('%g %g', [lStep, mn])); | ||
| //lRange := abs(mx - mn); //full range, in case mn < 0 and mx > 0 | ||
| ticMin := lStep; | ||
| ticStep := tic.stepSize; | ||
| ticDecimals := tic.decimals; | ||
| //result := format('stepSize %g 1stTick %g decimals %d', [tic.stepSize, lStep, tic.decimals]); | ||
| end; *) | ||
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| end. | ||
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