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+/*
+ * Smithsonian Astrophysical Observatory, Cambridge, MA, USA
+ * This code has been modified under the terms listed below and is made
+ * available under the same terms.
+ */
+
+/*
+ * Copyright 1993-2004 George A Howlett.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+ * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+ * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+ * WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+#include <stdlib.h>
+#include <string.h>
+
+#include <cmath>
+
+#include "tkbltGraph.h"
+#include "tkbltGrAxis.h"
+#include "tkbltGrElem.h"
+#include "tkbltGrLegd.h"
+#include "tkbltGrMisc.h"
+
+using namespace Blt;
+
+#define AXIS_PAD_TITLE 2
+#define ROTATE_0 0
+#define ROTATE_90 1
+#define ROTATE_180 2
+#define ROTATE_270 3
+
+/*
+ *---------------------------------------------------------------------------
+ *
+ * layoutGraph --
+ *
+ * Calculate the layout of the graph. Based upon the data, axis limits,
+ * X and Y titles, and title height, determine the cavity left which is
+ * the plotting surface. The first step get the data and axis limits for
+ * calculating the space needed for the top, bottom, left, and right
+ * margins.
+ *
+ * 1) The LEFT margin is the area from the left border to the Y axis
+ * (not including ticks). It composes the border width, the width an
+ * optional Y axis label and its padding, and the tick numeric labels.
+ * The Y axis label is rotated 90 degrees so that the width is the
+ * font height.
+ *
+ * 2) The RIGHT margin is the area from the end of the graph
+ * to the right window border. It composes the border width,
+ * some padding, the font height (this may be dubious. It
+ * appears to provide a more even border), the max of the
+ * legend width and 1/2 max X tick number. This last part is
+ * so that the last tick label is not clipped.
+ *
+ * Window Width
+ * ___________________________________________________________
+ * | | | |
+ * | | TOP height of title | |
+ * | | | |
+ * | | x2 title | |
+ * | | | |
+ * | | height of x2-axis | |
+ * |__________|_______________________________|_______________| W
+ * | | -plotpady | | i
+ * |__________|_______________________________|_______________| n
+ * | | top right | | d
+ * | | | | o
+ * | LEFT | | RIGHT | w
+ * | | | |
+ * | y | Free area = 104% | y2 | H
+ * | | Plotting surface = 100% | | e
+ * | t | Tick length = 2 + 2% | t | i
+ * | i | | i | g
+ * | t | | t legend| h
+ * | l | | l width| t
+ * | e | | e |
+ * | height| |height |
+ * | of | | of |
+ * | y-axis| |y2-axis |
+ * | | | |
+ * | |origin 0,0 | |
+ * |__________|_left_________________bottom___|_______________|
+ * | |-plotpady | |
+ * |__________|_______________________________|_______________|
+ * | | (xoffset, yoffset) | |
+ * | | | |
+ * | | height of x-axis | |
+ * | | | |
+ * | | BOTTOM x title | |
+ * |__________|_______________________________|_______________|
+ *
+ * 3) The TOP margin is the area from the top window border to the top
+ * of the graph. It composes the border width, twice the height of
+ * the title font (if one is given) and some padding between the
+ * title.
+ *
+ * 4) The BOTTOM margin is area from the bottom window border to the
+ * X axis (not including ticks). It composes the border width, the height
+ * an optional X axis label and its padding, the height of the font
+ * of the tick labels.
+ *
+ * The plotting area is between the margins which includes the X and Y axes
+ * including the ticks but not the tick numeric labels. The length of the
+ * ticks and its padding is 5% of the entire plotting area. Hence the entire
+ * plotting area is scaled as 105% of the width and height of the area.
+ *
+ * The axis labels, ticks labels, title, and legend may or may not be
+ * displayed which must be taken into account.
+ *
+ * if reqWidth > 0 : set outer size
+ * if reqPlotWidth > 0 : set plot size
+ *---------------------------------------------------------------------------
+ */
+
+void Graph::layoutGraph()
+{
+ GraphOptions* ops = (GraphOptions*)ops_;
+
+ int width = width_;
+ int height = height_;
+
+ // Step 1
+ // Compute the amount of space needed to display the axes
+ // associated with each margin. They can be overridden by
+ // -leftmargin, -rightmargin, -bottommargin, and -topmargin
+ // graph options, respectively.
+ int left = getMarginGeometry(&ops->leftMargin);
+ int right = getMarginGeometry(&ops->rightMargin);
+ int top = getMarginGeometry(&ops->topMargin);
+ int bottom = getMarginGeometry(&ops->bottomMargin);
+
+ int pad = ops->bottomMargin.maxTickWidth;
+ if (pad < ops->topMargin.maxTickWidth)
+ pad = ops->topMargin.maxTickWidth;
+
+ pad = pad / 2 + 3;
+ if (right < pad)
+ right = pad;
+
+ if (left < pad)
+ left = pad;
+
+ pad = ops->leftMargin.maxTickHeight;
+ if (pad < ops->rightMargin.maxTickHeight)
+ pad = ops->rightMargin.maxTickHeight;
+
+ pad = pad / 2;
+ if (top < pad)
+ top = pad;
+
+ if (bottom < pad)
+ bottom = pad;
+
+ if (ops->leftMargin.reqSize > 0)
+ left = ops->leftMargin.reqSize;
+
+ if (ops->rightMargin.reqSize > 0)
+ right = ops->rightMargin.reqSize;
+
+ if (ops->topMargin.reqSize > 0)
+ top = ops->topMargin.reqSize;
+
+ if (ops->bottomMargin.reqSize > 0)
+ bottom = ops->bottomMargin.reqSize;
+
+ // Step 2
+ // Add the graph title height to the top margin.
+ if (ops->title)
+ top += titleHeight_ + 6;
+
+ int inset = (inset_ + ops->plotBW);
+ int inset2 = 2 * inset;
+
+ // Step 3
+ // Estimate the size of the plot area from the remaining
+ // space. This may be overridden by the -plotwidth and
+ // -plotheight graph options. We use this to compute the
+ // size of the legend.
+ if (width == 0)
+ width = 400;
+
+ if (height == 0)
+ height = 400;
+
+ int plotWidth = (ops->reqPlotWidth > 0) ? ops->reqPlotWidth :
+ width - (inset2 + left + right);
+ int plotHeight = (ops->reqPlotHeight > 0) ? ops->reqPlotHeight :
+ height - (inset2 + top + bottom);
+ legend_->map(plotWidth, plotHeight);
+
+ // Step 4
+ // Add the legend to the appropiate margin.
+ if (!legend_->isHidden()) {
+ switch (legend_->position()) {
+ case Legend::RIGHT:
+ if (!ops->rightMargin.reqSize)
+ right += legend_->width_ + 2;
+ break;
+ case Legend::LEFT:
+ if (!ops->leftMargin.reqSize)
+ left += legend_->width_ + 2;
+ break;
+ case Legend::TOP:
+ if (!ops->topMargin.reqSize)
+ top += legend_->height_ + 2;
+ break;
+ case Legend::BOTTOM:
+ if (!ops->bottomMargin.reqSize)
+ bottom += legend_->height_ + 2;
+ break;
+ case Legend::XY:
+ case Legend::PLOT:
+ break;
+ }
+ }
+
+ // Recompute the plotarea or graph size, now accounting for the legend.
+ if (ops->reqPlotWidth == 0) {
+ plotWidth = width - (inset2 + left + right);
+ if (plotWidth < 1)
+ plotWidth = 1;
+ }
+ if (ops->reqPlotHeight == 0) {
+ plotHeight = height - (inset2 + top + bottom);
+ if (plotHeight < 1)
+ plotHeight = 1;
+ }
+
+ // Step 5
+ // If necessary, correct for the requested plot area aspect ratio.
+ if ((ops->reqPlotWidth == 0) && (ops->reqPlotHeight == 0) &&
+ (ops->aspect > 0.0)) {
+ double ratio;
+
+ // Shrink one dimension of the plotarea to fit the requested
+ // width/height aspect ratio.
+ ratio = plotWidth / plotHeight;
+ if (ratio > ops->aspect) {
+ // Shrink the width
+ int scaledWidth = (int)(plotHeight * ops->aspect);
+ if (scaledWidth < 1)
+ scaledWidth = 1;
+
+ // Add the difference to the right margin.
+ // CHECK THIS: w = scaledWidth
+ right += (plotWidth - scaledWidth);
+ }
+ else {
+ // Shrink the height
+ int scaledHeight = (int)(plotWidth / ops->aspect);
+ if (scaledHeight < 1)
+ scaledHeight = 1;
+
+ // Add the difference to the top margin
+ // CHECK THIS: h = scaledHeight;
+ top += (plotHeight - scaledHeight);
+ }
+ }
+
+ // Step 6
+ // If there's multiple axes in a margin, the axis titles will be
+ // displayed in the adjoining margins. Make sure there's room
+ // for the longest axis titles.
+ if (top < ops->leftMargin.axesTitleLength)
+ top = ops->leftMargin.axesTitleLength;
+
+ if (right < ops->bottomMargin.axesTitleLength)
+ right = ops->bottomMargin.axesTitleLength;
+
+ if (top < ops->rightMargin.axesTitleLength)
+ top = ops->rightMargin.axesTitleLength;
+
+ if (right < ops->topMargin.axesTitleLength)
+ right = ops->topMargin.axesTitleLength;
+
+ // Step 7
+ // Override calculated values with requested margin sizes.
+ if (ops->leftMargin.reqSize > 0)
+ left = ops->leftMargin.reqSize;
+
+ if (ops->rightMargin.reqSize > 0)
+ right = ops->rightMargin.reqSize;
+
+ if (ops->topMargin.reqSize > 0)
+ top = ops->topMargin.reqSize;
+
+ if (ops->bottomMargin.reqSize > 0)
+ bottom = ops->bottomMargin.reqSize;
+
+ if (ops->reqPlotWidth > 0) {
+ // Width of plotarea is constained. If there's extra space, add it to
+ // the left and/or right margins. If there's too little, grow the
+ // graph width to accomodate it.
+ int w = plotWidth + inset2 + left + right;
+
+ // Extra space in window
+ if (width > w) {
+ int extra = (width - w) / 2;
+ if (ops->leftMargin.reqSize == 0) {
+ left += extra;
+ if (ops->rightMargin.reqSize == 0)
+ right += extra;
+ else
+ left += extra;
+ }
+ else if (ops->rightMargin.reqSize == 0)
+ right += extra + extra;
+ }
+ else if (width < w)
+ width = w;
+ }
+
+ // Constrain the plotarea height
+ if (ops->reqPlotHeight > 0) {
+
+ // Height of plotarea is constained. If there's extra space,
+ // add it to th top and/or bottom margins. If there's too little,
+ // grow the graph height to accomodate it.
+ int h = plotHeight + inset2 + top + bottom;
+
+ // Extra space in window
+ if (height > h) {
+ int extra = (height - h) / 2;
+ if (ops->topMargin.reqSize == 0) {
+ top += extra;
+ if (ops->bottomMargin.reqSize == 0)
+ bottom += extra;
+ else
+ top += extra;
+ }
+ else if (ops->bottomMargin.reqSize == 0)
+ bottom += extra + extra;
+ }
+ else if (height < h)
+ height = h;
+ }
+
+ width_ = width;
+ height_ = height;
+ left_ = left + inset;
+ top_ = top + inset;
+ right_ = width - right - inset;
+ bottom_ = height - bottom - inset;
+
+ ops->leftMargin.width = left + inset_;
+ ops->rightMargin.width = right + inset_;
+ ops->topMargin.height = top + inset_;
+ ops->bottomMargin.height = bottom + inset_;
+
+ vOffset_ = top_ + ops->yPad;
+ vRange_ = plotHeight - 2*ops->yPad;
+ hOffset_ = left_ + ops->xPad;
+ hRange_ = plotWidth - 2*ops->xPad;
+
+ if (vRange_ < 1)
+ vRange_ = 1;
+
+ if (hRange_ < 1)
+ hRange_ = 1;
+
+ hScale_ = 1.0 / hRange_;
+ vScale_ = 1.0 / vRange_;
+
+ // Calculate the placement of the graph title so it is centered within the
+ // space provided for it in the top margin
+ titleY_ = 3 + inset_;
+ titleX_ = (right_ + left_) / 2;
+}
+
+int Graph::getMarginGeometry(Margin *marginPtr)
+{
+ GraphOptions* ops = (GraphOptions*)ops_;
+ int isHoriz = !(marginPtr->site & 0x1); /* Even sites are horizontal */
+
+ // Count the visible axes.
+ unsigned int nVisible = 0;
+ unsigned int l =0;
+ int w =0;
+ int h =0;
+
+ marginPtr->maxTickWidth =0;
+ marginPtr->maxTickHeight =0;
+
+ if (ops->stackAxes) {
+ for (ChainLink* link = Chain_FirstLink(marginPtr->axes); link;
+ link = Chain_NextLink(link)) {
+ Axis* axisPtr = (Axis*)Chain_GetValue(link);
+ AxisOptions* ops = (AxisOptions*)axisPtr->ops();
+ if (!ops->hide && axisPtr->use_) {
+ nVisible++;
+ axisPtr->getGeometry();
+
+ if (isHoriz) {
+ if (h < axisPtr->height_)
+ h = axisPtr->height_;
+ }
+ else {
+ if (w < axisPtr->width_)
+ w = axisPtr->width_;
+ }
+ if (axisPtr->maxTickWidth_ > marginPtr->maxTickWidth)
+ marginPtr->maxTickWidth = axisPtr->maxTickWidth_;
+
+ if (axisPtr->maxTickHeight_ > marginPtr->maxTickHeight)
+ marginPtr->maxTickHeight = axisPtr->maxTickHeight_;
+ }
+ }
+ }
+ else {
+ for (ChainLink* link = Chain_FirstLink(marginPtr->axes); link;
+ link = Chain_NextLink(link)) {
+ Axis* axisPtr = (Axis*)Chain_GetValue(link);
+ AxisOptions* ops = (AxisOptions*)axisPtr->ops();
+ if (!ops->hide && axisPtr->use_) {
+ nVisible++;
+ axisPtr->getGeometry();
+
+ if ((ops->titleAlternate) && (l < axisPtr->titleWidth_))
+ l = axisPtr->titleWidth_;
+
+ if (isHoriz)
+ h += axisPtr->height_;
+ else
+ w += axisPtr->width_;
+
+ if (axisPtr->maxTickWidth_ > marginPtr->maxTickWidth)
+ marginPtr->maxTickWidth = axisPtr->maxTickWidth_;
+
+ if (axisPtr->maxTickHeight_ > marginPtr->maxTickHeight)
+ marginPtr->maxTickHeight = axisPtr->maxTickHeight_;
+ }
+ }
+ }
+ // Enforce a minimum size for margins.
+ if (w < 3)
+ w = 3;
+
+ if (h < 3)
+ h = 3;
+
+ marginPtr->nAxes = nVisible;
+ marginPtr->axesTitleLength = l;
+ marginPtr->width = w;
+ marginPtr->height = h;
+ marginPtr->axesOffset = (isHoriz) ? h : w;
+ return marginPtr->axesOffset;
+}
+
+void Graph::getTextExtents(Tk_Font font, const char *text, int textLen,
+ int* ww, int* hh)
+{
+ if (!text) {
+ *ww =0;
+ *hh =0;
+ return;
+ }
+
+ Tk_FontMetrics fm;
+ Tk_GetFontMetrics(font, &fm);
+ int lineHeight = fm.linespace;
+
+ if (textLen < 0)
+ textLen = strlen(text);
+
+ int maxWidth =0;
+ int maxHeight =0;
+ int lineLen =0;
+ const char *line =NULL;
+ const char *p, *pend;
+ for (p =line=text, pend=text+textLen; p<pend; p++) {
+ if (*p == '\n') {
+ if (lineLen > 0) {
+ int lineWidth = Tk_TextWidth(font, line, lineLen);
+ if (lineWidth > maxWidth)
+ maxWidth = lineWidth;
+ }
+ maxHeight += lineHeight;
+ line = p + 1; /* Point to the start of the next line. */
+ lineLen = 0; /* Reset counter to indicate the start of a
+ * new line. */
+ continue;
+ }
+ lineLen++;
+ }
+
+ if ((lineLen > 0) && (*(p - 1) != '\n')) {
+ maxHeight += lineHeight;
+ int lineWidth = Tk_TextWidth(font, line, lineLen);
+ if (lineWidth > maxWidth)
+ maxWidth = lineWidth;
+ }
+
+ *ww = maxWidth;
+ *hh = maxHeight;
+}
+
+/*
+ *---------------------------------------------------------------------------
+ *
+ * Computes the dimensions of the bounding box surrounding a rectangle
+ * rotated about its center. If pointArr isn't NULL, the coordinates of
+ * the rotated rectangle are also returned.
+ *
+ * The dimensions are determined by rotating the rectangle, and doubling
+ * the maximum x-coordinate and y-coordinate.
+ *
+ * w = 2 * maxX, h = 2 * maxY
+ *
+ * Since the rectangle is centered at 0,0, the coordinates of the
+ * bounding box are (-w/2,-h/2 w/2,-h/2, w/2,h/2 -w/2,h/2).
+ *
+ * 0 ------- 1
+ * | |
+ * | x |
+ * | |
+ * 3 ------- 2
+ *
+ * Results:
+ * The width and height of the bounding box containing the rotated
+ * rectangle are returned.
+ *
+ *---------------------------------------------------------------------------
+ */
+void Graph::getBoundingBox(int width, int height, double angle,
+ double *rotWidthPtr, double *rotHeightPtr,
+ Point2d *bbox)
+{
+ angle = fmod(angle, 360.0);
+ if (fmod(angle, 90.0) == 0.0) {
+ int ll, ur, ul, lr;
+ double rotWidth, rotHeight;
+
+ // Handle right-angle rotations specially
+ int quadrant = (int)(angle / 90.0);
+ switch (quadrant) {
+ case ROTATE_270:
+ ul = 3, ur = 0, lr = 1, ll = 2;
+ rotWidth = (double)height;
+ rotHeight = (double)width;
+ break;
+ case ROTATE_90:
+ ul = 1, ur = 2, lr = 3, ll = 0;
+ rotWidth = (double)height;
+ rotHeight = (double)width;
+ break;
+ case ROTATE_180:
+ ul = 2, ur = 3, lr = 0, ll = 1;
+ rotWidth = (double)width;
+ rotHeight = (double)height;
+ break;
+ default:
+ case ROTATE_0:
+ ul = 0, ur = 1, lr = 2, ll = 3;
+ rotWidth = (double)width;
+ rotHeight = (double)height;
+ break;
+ }
+ if (bbox) {
+ double x = rotWidth * 0.5;
+ double y = rotHeight * 0.5;
+ bbox[ll].x = bbox[ul].x = -x;
+ bbox[ur].y = bbox[ul].y = -y;
+ bbox[lr].x = bbox[ur].x = x;
+ bbox[ll].y = bbox[lr].y = y;
+ }
+ *rotWidthPtr = rotWidth;
+ *rotHeightPtr = rotHeight;
+ return;
+ }
+
+ // Set the four corners of the rectangle whose center is the origin
+ Point2d corner[4];
+ corner[1].x = corner[2].x = (double)width * 0.5;
+ corner[0].x = corner[3].x = -corner[1].x;
+ corner[2].y = corner[3].y = (double)height * 0.5;
+ corner[0].y = corner[1].y = -corner[2].y;
+
+ double radians = (-angle / 180.0) * M_PI;
+ double sinTheta = sin(radians);
+ double cosTheta = cos(radians);
+ double xMax =0;
+ double yMax =0;
+
+ // Rotate the four corners and find the maximum X and Y coordinates
+ for (int ii=0; ii<4; ii++) {
+ double x = (corner[ii].x * cosTheta) - (corner[ii].y * sinTheta);
+ double y = (corner[ii].x * sinTheta) + (corner[ii].y * cosTheta);
+ if (x > xMax)
+ xMax = x;
+
+ if (y > yMax)
+ yMax = y;
+
+ if (bbox) {
+ bbox[ii].x = x;
+ bbox[ii].y = y;
+ }
+ }
+
+ // By symmetry, the width and height of the bounding box are twice the
+ // maximum x and y coordinates.
+ *rotWidthPtr = xMax + xMax;
+ *rotHeightPtr = yMax + yMax;
+}
+
+/*
+ *---------------------------------------------------------------------------
+ *
+ * Blt_AnchorPoint --
+ *
+ * Translates a position, using both the dimensions of the bounding box,
+ * and the anchor direction, returning the coordinates of the upper-left
+ * corner of the box. The anchor indicates where the given x-y position
+ * is in relation to the bounding box.
+ *
+ * 7 nw --- 0 n --- 1 ne
+ * | |
+ * 6 w 8 center 2 e
+ * | |
+ * 5 sw --- 4 s --- 3 se
+ *
+ * The coordinates returned are translated to the origin of the bounding
+ * box (suitable for giving to XCopyArea, XCopyPlane, etc.)
+ *
+ * Results:
+ * The translated coordinates of the bounding box are returned.
+ *
+ *---------------------------------------------------------------------------
+ */
+Point2d Graph::anchorPoint(double x, double y, double w, double h,
+ Tk_Anchor anchor)
+{
+ Point2d t;
+
+ switch (anchor) {
+ case TK_ANCHOR_NW: /* 7 Upper left corner */
+ break;
+ case TK_ANCHOR_W: /* 6 Left center */
+ y -= (h * 0.5);
+ break;
+ case TK_ANCHOR_SW: /* 5 Lower left corner */
+ y -= h;
+ break;
+ case TK_ANCHOR_N: /* 0 Top center */
+ x -= (w * 0.5);
+ break;
+ case TK_ANCHOR_CENTER: /* 8 Center */
+ x -= (w * 0.5);
+ y -= (h * 0.5);
+ break;
+ case TK_ANCHOR_S: /* 4 Bottom center */
+ x -= (w * 0.5);
+ y -= h;
+ break;
+ case TK_ANCHOR_NE: /* 1 Upper right corner */
+ x -= w;
+ break;
+ case TK_ANCHOR_E: /* 2 Right center */
+ x -= w;
+ y -= (h * 0.5);
+ break;
+ case TK_ANCHOR_SE: /* 3 Lower right corner */
+ x -= w;
+ y -= h;
+ break;
+ }
+
+ t.x = x;
+ t.y = y;
+ return t;
+}
+
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