📄 logarithmicaxis.java
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* not less than the argument, is equal to a mathematical integer and
* satisfying the condition that log base 10 of the value is an integer
* (i.e., the value returned will be a power of 10: 1, 10, 100, 1000, etc.).
*
* @param upper a double value above which a ceiling will be calcualted.
*
* @return 10<sup>N</sup> with N .. { 1 ... }
*/
protected double computeLogCeil(double upper) {
double logCeil;
if (this.allowNegativesFlag) {
//negative values are allowed
if (upper > 10.0) {
//parameter value is > 10
// The Math.log() function is based on e not 10.
logCeil = Math.log(upper) / LOG10_VALUE;
logCeil = Math.ceil(logCeil);
logCeil = Math.pow(10, logCeil);
}
else if (upper < -10.0) {
//parameter value is < -10
//calculate log using positive value:
logCeil = Math.log(-upper) / LOG10_VALUE;
//calculate ceil using negative value:
logCeil = Math.ceil(-logCeil);
//calculate power using positive value; then negate
logCeil = -Math.pow(10, -logCeil);
}
else {
//parameter value is -10 > val < 10
logCeil = Math.ceil(upper); //use as-is
}
}
else {
//negative values not allowed
if (upper > 0.0) {
//parameter value is > 0
// The Math.log() function is based on e not 10.
logCeil = Math.log(upper) / LOG10_VALUE;
logCeil = Math.ceil(logCeil);
logCeil = Math.pow(10, logCeil);
}
else {
//parameter value is <= 0
logCeil = Math.ceil(upper); //use as-is
}
}
return logCeil;
}
/**
* Rescales the axis to ensure that all data is visible.
*/
public void autoAdjustRange() {
Plot plot = getPlot();
if (plot == null) {
return; // no plot, no data.
}
if (plot instanceof ValueAxisPlot) {
ValueAxisPlot vap = (ValueAxisPlot) plot;
double lower;
Range r = vap.getDataRange(this);
if (r == null) {
//no real data present
r = new Range(DEFAULT_LOWER_BOUND, DEFAULT_UPPER_BOUND);
lower = r.getLowerBound(); //get lower bound value
}
else {
//actual data is present
lower = r.getLowerBound(); //get lower bound value
if (this.strictValuesFlag && !this.allowNegativesFlag && lower <= 0.0) {
//strict flag set, allow-negatives not set and values <= 0
throw new RuntimeException("Values less than or equal to "
+ "zero not allowed with logarithmic axis");
}
}
//change to log version of lowest value to make range
// begin at a 10^n value:
lower = computeLogFloor(lower);
if (!this.allowNegativesFlag && lower >= 0.0 && lower < SMALL_LOG_VALUE) {
//negatives not allowed and lower range bound is zero
lower = r.getLowerBound(); //use data range bound instead
}
double upper = r.getUpperBound();
if (!this.allowNegativesFlag && upper < 1.0 && upper > 0.0 && lower > 0.0) {
//negatives not allowed and upper bound between 0 & 1
//round up to nearest significant digit for bound:
//get negative exponent:
double expVal = Math.log(upper) / LOG10_VALUE;
expVal = Math.ceil(-expVal + 0.001); //get positive exponent
expVal = Math.pow(10, expVal); //create multiplier value
//multiply, round up, and divide for bound value:
upper = (expVal > 0.0) ? Math.ceil(upper * expVal) / expVal : Math.ceil(upper);
}
else {
//negatives allowed or upper bound not between 0 & 1
upper = computeLogCeil(upper); //use nearest log value
}
// ensure the autorange is at least <minRange> in size...
double minRange = getAutoRangeMinimumSize();
if (upper - lower < minRange) {
upper = (upper + lower + minRange) / 2;
lower = (upper + lower - minRange) / 2;
//if autorange still below minimum then adjust by 1%
// (can be needed when minRange is very small):
if (upper - lower < minRange) {
final double absUpper = Math.abs(upper);
//need to account for case where upper==0.0
final double adjVal = (absUpper > SMALL_LOG_VALUE) ? absUpper / 100.0 : 0.01;
upper = (upper + lower + adjVal) / 2;
lower = (upper + lower - adjVal) / 2;
}
}
setRange(new Range(lower, upper), false, false);
setupSmallLogFlag(); //setup flag based on bounds values
}
}
/**
* Converts a data value to a coordinate in Java2D space, assuming that
* the axis runs along one edge of the specified plotArea.
* Note that it is possible for the coordinate to fall outside the
* plotArea.
*
* @param value the data value.
* @param plotArea the area for plotting the data.
* @param edge the axis location.
*
* @return the Java2D coordinate.
*/
public double valueToJava2D(double value, Rectangle2D plotArea, RectangleEdge edge) {
Range range = getRange();
double axisMin = switchedLog10(range.getLowerBound());
double axisMax = switchedLog10(range.getUpperBound());
double min = 0.0;
double max = 0.0;
if (RectangleEdge.isTopOrBottom(edge)) {
min = plotArea.getMinX();
max = plotArea.getMaxX();
}
else if (RectangleEdge.isLeftOrRight(edge)) {
min = plotArea.getMaxY();
max = plotArea.getMinY();
}
value = switchedLog10(value);
if (isInverted()) {
return max - (((value - axisMin) / (axisMax - axisMin)) * (max - min));
}
else {
return min + (((value - axisMin) / (axisMax - axisMin)) * (max - min));
}
}
/**
* Converts a coordinate in Java2D space to the corresponding data
* value, assuming that the axis runs along one edge of the specified plotArea.
*
* @param java2DValue the coordinate in Java2D space.
* @param plotArea the area in which the data is plotted.
* @param edge the axis location.
*
* @return the data value.
*/
public double java2DToValue(double java2DValue, Rectangle2D plotArea, RectangleEdge edge) {
Range range = getRange();
double axisMin = switchedLog10(range.getLowerBound());
double axisMax = switchedLog10(range.getUpperBound());
double plotMin = 0.0;
double plotMax = 0.0;
if (RectangleEdge.isTopOrBottom(edge)) {
plotMin = plotArea.getX();
plotMax = plotArea.getMaxX();
}
else if (RectangleEdge.isLeftOrRight(edge)) {
plotMin = plotArea.getMaxY();
plotMax = plotArea.getMinY();
}
if (isInverted()) {
return Math.pow(
10, axisMax - ((java2DValue - plotMin) / (plotMax - plotMin)) * (axisMax - axisMin)
);
}
else {
return Math.pow(
10, axisMin + ((java2DValue - plotMin) / (plotMax - plotMin)) * (axisMax - axisMin)
);
}
}
/**
* Calculates the positions of the tick labels for the axis, storing the results in the
* tick label list (ready for drawing).
*
* @param g2 the graphics device.
* @param state the axis state.
* @param drawArea the area in which the plot and the axes should be drawn.
* @param dataArea the area in which the plot should be drawn.
* @param edge the location of the axis.
*
* @return a list of ticks.
*/
public List refreshTicks(Graphics2D g2,
AxisState state,
Rectangle2D drawArea,
Rectangle2D dataArea,
RectangleEdge edge) {
List ticks = new java.util.ArrayList();
if (RectangleEdge.isTopOrBottom(edge)) {
ticks = refreshTicksHorizontal(g2, state.getCursor(), drawArea, dataArea, edge);
}
else if (RectangleEdge.isLeftOrRight(edge)) {
ticks = refreshTicksVertical(g2, state.getCursor(), drawArea, dataArea, edge);
}
return ticks;
}
/**
* Calculates the positions of the tick labels for the axis, storing the results in the
* tick label list (ready for drawing).
*
* @param g2 the graphics device.
* @param cursor the cursor position.
* @param drawArea the area in which the plot and the axes should be drawn.
* @param dataArea the area in which the plot should be drawn.
* @param edge the location of the axis.
*
* @return A list of ticks.
*/
public List refreshTicksHorizontal(Graphics2D g2,
double cursor,
Rectangle2D drawArea,
Rectangle2D dataArea,
RectangleEdge edge) {
List ticks = new java.util.ArrayList();
// FontMetrics fm = g2.getFontMetrics(getTickLabelFont());
Range range = getRange();
//get lower bound value:
double lowerBoundVal = range.getLowerBound();
//if small log values and lower bound value too small
// then set to a small value (don't allow <= 0):
if (this.smallLogFlag && lowerBoundVal < SMALL_LOG_VALUE) {
lowerBoundVal = SMALL_LOG_VALUE;
}
//get upper bound value
final double upperBoundVal = range.getUpperBound();
//get log10 version of lower bound and round to integer:
int iBegCount = (int) Math.rint(switchedLog10(lowerBoundVal));
//get log10 version of upper bound and round to integer:
final int iEndCount = (int) Math.rint(switchedLog10(upperBoundVal));
if (iBegCount == iEndCount && iBegCount > 0 && Math.pow(10, iBegCount) > lowerBoundVal) {
//only 1 power of 10 value, it's > 0 and its resulting
// tick value will be larger than lower bound of data
--iBegCount; //decrement to generate more ticks
}
double currentTickValue;
String tickLabel;
boolean zeroTickFlag = false;
for (int i = iBegCount; i <= iEndCount; i++) {
//for each power of 10 value; create ten ticks
for (int j = 0; j < 10; ++j) {
//for each tick to be displayed
if (this.smallLogFlag) {
//small log values in use; create numeric value for tick
currentTickValue = Math.pow(10, i) + (Math.pow(10, i) * j);
if (this.expTickLabelsFlag
|| (i < 0 && currentTickValue > 0.0 && currentTickValue < 1.0)) {
//showing "1e#"-style ticks or negative exponent
// generating tick value between 0 & 1; show fewer
if (j == 0 || (i > -4 && j < 2)
|| currentTickValue >= upperBoundVal) {
//first tick of series, or not too small a value and
// one of first 3 ticks, or last tick to be displayed
//set exact number of fractional digits to be shown
// (no effect if showing "1e#"-style ticks):
this.numberFormatterObj.setMaximumFractionDigits(-i);
//create tick label (force use of fmt obj):
tickLabel = makeTickLabel(currentTickValue, true);
}
else { //no tick label to be shown
tickLabel = "";
}
}
else { //tick value not between 0 & 1
//show tick label if it's the first or last in
// the set, or if it's 1-5; beyond that show
// fewer as the values get larger:
tickLabel = (j < 1 || (i < 1 && j < 5) || (j < 4 - i)
|| currentTickValue >= upperBoundVal)
? makeTickLabel(currentTickValue) : "";
}
}
else { //not small log values in use; allow for values <= 0
if (zeroTickFlag) { //if did zero tick last iter then
--j; //decrement to do 1.0 tick now
} //calculate power-of-ten value for tick:
currentTickValue = (i >= 0)
? Math.pow(10, i) + (Math.pow(10, i) * j)
: -(Math.pow(10, -i) - (Math.pow(10, -i - 1) * j));
if (!zeroTickFlag) { //did not do zero tick last iteration
if (Math.abs(currentTickValue - 1.0) < 0.0001
&& lowerBoundVal <= 0.0 && upperBoundVal >= 0.0) {
//tick value is 1.0 and 0.0 is within data range
currentTickValue = 0.0; //set tick value to zero
zeroTickFlag = true; //indicate zero tick
}
}
else { //did zero tick last iteration
zeroTickFlag = false; //clear flag
} //create tick label string:
//show tick label if "1e#"-style and it's one
// of the first two, if it's the first or last
// in the set, or if it's 1-5; beyond that
// show fewer as the values get larger:
tickLabel = ((this.expTickLabelsFlag && j < 2)
|| j < 1
|| (i < 1 && j < 5) || (j < 4 - i)
|| currentTickValue >= upperBoundVal)
? makeTickLabel(currentTickValue) : "";
}
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