Sorry: it's been five years. Text width might no longer be the paramount concern in your waking life. However, I have the answer; maybe others will benefit.
The crucial key to accurate text-width-sizing (and this works also for text-height) is to realize that the width of rendered text does of course vary - but linearly! - with the setting of the font-size attribute. There is no need to binary search, or to pick through and test all the possible font-size attribute values, when one has a linear function; one only needs to be sure of two points on the graph.
To prepare, don't draw the string, but calculate the width of your rendered string at, for example, text size 20 and at text size 40. This gives you two data points on the linear function "rendered string width as a function of text-size attribute". Then, extrapolate to fit the string into whatever rendered width you currently need.
I have found this method to uniformly yield good and fast results. With variations in font, of course, sometimes you might obtain characters that hang two or three pixels over the edge of the bounding box - but this is an artefact of font design. The well-designed fonts will work well, and even with crazy fonts, one usually has to only provide a few pixels' border of leeway.
Here are the routines I used when I had this problem last month. Feel free to use this code.
/******************************************************************************************/
//
// text.m
//
/******************************************************************************************/
@interface drawtext : NSObject {
// name of the font to be used
NSString *fontname;
// instantiations of that font, at size 20 and at size 40, and at the currently-best size
NSFont *font20, *font40, *font;
// first sizing function: rendered string height as a function of the font-size attribute
CGFloat mh, bh;
// second sizing function: rendered string width as a function of the font-size attribute
CGFloat mw, bw;
}
@end
/******************************************************************************************/
@implementation drawtext
/******************************************************************************************/
// CLASS METHODS
/******************************************************************************************/
// The caller specifies the text string (all capitals! no descenders!) to be drawn, the
// name of the font to use, the box in which to draw the text, and a border if desired.
//
// The routine returns the fontsize to be used, and the origin to be used for the
// "drawAtPoint" message. This will result in the largest rendition of the text string
// which meets the constraints.
+ (void) sizeText: (NSString *) captext // the string of text to evaluate for font size
usingFontName: (NSString *) fontname // the string name of the font to be employed
inBox: (NSRect) box // the containing box on the screen
withBorder: (NSSize) border // the # of pixels to leave blank as X & Y borders
usingFontSize: (CGFloat *) fontsize // (returned) what font-size to use
atOrigin: (NSPoint *) origin // (returned) where to execute the drawAtPoint
{
// let's start by redefining the containing box to presume the borders
NSRect newBox;
newBox.origin.x = box.origin.x + border.width;
newBox.origin.y = box.origin.y + border.height;
newBox.size.width = box.size.width - 2.0 * border.width;
newBox.size.height = box.size.height - 2.0 * border.height;
// find out dimensions at font size = 20, then at font size = 40, to use for extrapolation
NSSize s20, s40;
NSFont *f20 = [NSFont fontWithName:fontname size:20];
NSMutableAttributedString *mtext20 = [[NSMutableAttributedString alloc] initWithString:captext];
[mtext20 addAttribute:NSFontAttributeName value:f20 range:NSMakeRange(0,[mtext20 length])];
s20.width = mtext20.size.width;
s20.height = f20.capHeight;
NSFont *f40 = [NSFont fontWithName:fontname size:40];
NSMutableAttributedString *mtext40 = [[NSMutableAttributedString alloc] initWithString:captext];
[mtext40 addAttribute:NSFontAttributeName value:f40 range:NSMakeRange(0,[mtext40 length])];
s40.width = mtext40.size.width;
s40.height = f40.capHeight;
// hsize is "font size to cause height of rendered string to match box height"
// wsize is "font size to cause width of rendered string to match box width"
CGFloat x1, x2, y1, y2, m, b, hsize, wsize;
// cap height as function of text size, in y = mx + b format
x1 = 20;
y1 = s20.height;
x2 = 40;
y2 = s40.height;
m = ( y2 - y1 ) / ( x2 - x1 );
b = y1 - ( m * x1 );
hsize = ( newBox.size.height - b ) / m;
// string len as function of text size, y = mx + b format
x1 = 20;
y1 = s20.width;
x2 = 40;
y2 = s40.width;
m = ( y2 - y1 ) / ( x2 - x1 );
b = y1 - ( m * x1 );
wsize = ( newBox.size.width - b ) / m;
// choose the lesser of the two extrapolated font-sizes to fit the string into the box,
// and at the same time, find the origin point at which to render the string
//
// if ( hsize < wsize ) { // there will be east-west spaces
// else { // there will be north-south spaces
*fontsize = fmin( hsize, wsize );
NSSize textSize;
NSMutableAttributedString *mtext = [[NSMutableAttributedString alloc] initWithString:captext];
NSFont *f = [NSFont fontWithName:fontname size:*fontsize];
[mtext addAttribute:NSFontAttributeName value:f range:NSMakeRange(0,[mtext length])];
textSize.width = mtext.size.width;
textSize.height = f.capHeight;
// don't forget "descender", as this is an all-caps string (strings with descenders are
// left as an extra credit exercise for the reader :)
origin->y = newBox.origin.y + f.descender + ( ( newBox.size.height / 2.0 ) - ( textSize.height / 2.0 ) );
origin->x = ( newBox.origin.x + ( newBox.size.width / 2.0 ) ) - ( textSize.width / 2.0 );
}
/******************************************************************************************/
// Like the previous routine, except the font size is specified by the caller (this is
// employed in the case it is desired that various text strings, in different containing
// boxes, are to be drawn in the same font size).
+ (void) placeText: (NSString *) captext // the string of text to evaluate for positioning
usingFontName: (NSString *) fontname // the string name of the font to be employed
inBox: (NSRect) box // the containing box on the screen
withBorder: (NSSize) border // the # of pixels to leave blank as X & Y borders
usingFontSize: (CGFloat) fontsize // (passed) what font-size to use
atOrigin: (NSPoint *) origin // (returned) where to execute the drawAtPoint
{
NSRect newBox;
newBox.origin.x = box.origin.x + border.width;
newBox.origin.y = box.origin.y + border.height;
newBox.size.width = box.size.width - 2.0 * border.width;
newBox.size.height = box.size.height - 2.0 * border.height;
NSSize textSize;
NSMutableAttributedString *mtext = [[NSMutableAttributedString alloc] initWithString:captext];
NSFont *f = [NSFont fontWithName:fontname size:fontsize];
[mtext addAttribute:NSFontAttributeName value:f range:NSMakeRange(0,[mtext length])];
textSize.width = mtext.size.width;
textSize.height = f.capHeight;
// don't forget "descender", as this is an all-caps string
origin->y = newBox.origin.y + f.descender + ( ( newBox.size.height / 2.0 ) - ( textSize.height / 2.0 ) );
origin->x = ( newBox.origin.x + ( newBox.size.width / 2.0 ) ) - ( textSize.width / 2.0 );
}
/******************************************************************************************/
// This routine actually draws the text (the previous routines only determine how it
// should be drawn).
//
// The second routine can be used to draw a string with attributes such as color (i.e.,
// attributes which don't affect the size of the rendered string).
+ (void) drawText: (NSString *) captext // the string of text to be drawn
usingFontName: (NSString *) fontname // the string name of the font to be employed
andFontSize: (CGFloat) fontsize // what font-size to use
atOrigin: (NSPoint) origin // where to execute the drawAtPoint
{
NSMutableAttributedString *mtext = [[NSMutableAttributedString alloc] initWithString:captext];
NSFont *f = [NSFont fontWithName:fontname size:fontsize];
[mtext addAttribute:NSFontAttributeName value:f range:NSMakeRange(0,[mtext length])];
[mtext drawAtPoint:origin];
}
+ (void) drawMText: (NSMutableAttributedString *) captext // the string of Mtext to be drawn
usingFontName: (NSString *) fontname // the string name of the font to be employed
andFontSize: (CGFloat) fontsize // what font-size to use
atOrigin: (NSPoint) origin // where to execute the drawAtPoint
{
NSFont *f = [NSFont fontWithName:fontname size:fontsize];
[captext addAttribute:NSFontAttributeName value:f range:NSMakeRange(0,[captext length])];
[captext drawAtPoint:origin];
}
/******************************************************************************************/
// INSTANCE METHODS
/******************************************************************************************/
// When you instantiate the object, you set the font; from this, you can elucidate the
// first of the two sizing functions: rendered string height as a function of the
// font-size attribute. The function is stored in the instance variables of the object,
// in the variables { mh, bh }, to be used with the classic "y(x) = mx + b" format, where:
//
// y is rendered string height
// m is mh
// x is font size attribute
// b is bh
- (id) initUsingFontName: (NSString *) fname // string name of font to be employed
{
if ( !self ) self = [super init];
fontname = [[NSString alloc] initWithString:fname];
font20 = [NSFont fontWithName:fontname size:20];
font40 = [NSFont fontWithName:fontname size:40];
// "cap height as function of text size", in y = mx + b format (mh is m, bh is b)
CGFloat x1, x2, y1, y2;
x1 = 20;
y1 = font20.capHeight;
x2 = 40;
y2 = font40.capHeight;
mh = ( y2 - y1 ) / ( x2 - x1 );
bh = y1 - ( mh * x1 );
return self;
}
/******************************************************************************************/
// After initializing the object, you size a text string; this stores a second sizing
// function: rendered string width as a function of the font-size attribute, in { mw, bw }.
- (void) sizeString: (NSString *) captext // one string of text to evaluate for font size
{
CGFloat x1, x2, y1, y2;
NSMutableAttributedString *mtext =
[[NSMutableAttributedString alloc] initWithString:captext];
[mtext addAttribute:NSFontAttributeName
value:font20
range:NSMakeRange(0,[mtext length])];
x1 = 20;
y1 = mtext.size.width;
[mtext addAttribute:NSFontAttributeName
value:font40
range:NSMakeRange(0,[mtext length])];
x2 = 40;
y2 = mtext.size.width;
// "string width as function of text size", in y = mx + b format (mw is m, bw is b)
mw = ( y2 - y1 ) / ( x2 - x1 );
bw = y1 - ( mw * x1 );
}
/******************************************************************************************/
// Then to draw the text string in a box, you use this routine, which will draw it at the
// largest size possible given all the constraints, including the provided box and border.
//
// A similar routine is provided following this one, to draw a mutable string which may
// contain attributes, such as color, which do not affect the size of the rendered string.
- (void) drawString: (NSString *) captext // string of text to be drawn
inBox: (NSRect) box // containing box on the screen
withBorder: (NSSize) border // # of pixels to leave blank as X & Y borders
{
NSRect newBox;
newBox.origin.x = box.origin.x + border.width;
newBox.origin.y = box.origin.y + border.height;
newBox.size.width = box.size.width - 2.0 * border.width;
newBox.size.height = box.size.height - 2.0 * border.height;
// solve linear sizing functions for text size, and choose the smaller text size
//
// if ( hsize < wsize ) there will be east-west spaces
// if ( wsize < hsize ) there will be north-south spaces
CGFloat hsize, wsize, fontsize;
hsize = ( newBox.size.height - bh ) / mh;
wsize = ( newBox.size.width - bw ) / mw;
fontsize = fmin( hsize, wsize );
font = [NSFont fontWithName:fontname size:fontsize];
NSMutableAttributedString *mtext =
[[NSMutableAttributedString alloc] initWithString:captext];
[mtext addAttribute:NSFontAttributeName value:font range:NSMakeRange(0,[mtext length])];
// find the origin-point at which to render the given string,
// so that the text is centered in the box
NSSize textSize;
textSize.width = mtext.size.width;
textSize.height = font.capHeight;
NSPoint origin;
origin.y = newBox.origin.y + font.descender +
( ( newBox.size.height / 2.0 ) - ( textSize.height / 2.0 ) );
origin.x = ( newBox.origin.x + ( newBox.size.width / 2.0 ) ) - ( textSize.width / 2.0 );
[mtext drawAtPoint:origin];
}
/******************************************************************************************/
// To draw a mutable text string in a box (a string containing attributes e.g. color, which
// do not affect the sizing of the rendered string), use this routine.
- (void) drawMString: (NSMutableAttributedString *) captext // the M-string to be drawn
inBox: (NSRect) box // containing box on the screen
withBorder: (NSSize) border // # of pixels to leave blank as X & Y borders
{
NSRect newBox;
newBox.origin.x = box.origin.x + border.width;
newBox.origin.y = box.origin.y + border.height;
newBox.size.width = box.size.width - 2.0 * border.width;
newBox.size.height = box.size.height - 2.0 * border.height;
// solve linear sizing functions for text size, and choose the smaller text size
//
// if ( hsize < wsize ) there will be east-west spaces
// if ( wsize < hsize ) there will be north-south spaces
CGFloat hsize, wsize, fontsize;
hsize = ( newBox.size.height - bh ) / mh;
wsize = ( newBox.size.width - bw ) / mw;
fontsize = fmin( hsize, wsize );
font = [NSFont fontWithName:fontname size:fontsize];
[captext addAttribute:NSFontAttributeName
value:font
range:NSMakeRange(0,[captext length])];
// find the origin-point at which to render the given string,
// so that the text is centered in the box
NSSize textSize;
textSize.width = captext.size.width;
textSize.height = font.capHeight;
NSPoint origin;
origin.y = newBox.origin.y + font.descender +
( ( newBox.size.height / 2.0 ) - ( textSize.height / 2.0 ) );
origin.x = ( newBox.origin.x + ( newBox.size.width / 2.0 ) ) - ( textSize.width / 2.0 );
[captext drawAtPoint:origin];
}
/******************************************************************************************/
@end
/******************************************************************************************/