Как динамически отображать математические уравнения на устройствах iOS? - PullRequest
Новая
       5

Как динамически отображать математические уравнения на устройствах iOS?

0 голосов
/ 14 января 2012

Я использовал Quartz2D для рисования математического уравнения для iPod / iPhone, и ниже приведен пример кода.

Вопрос: В моем приложении мне нужно динамически показать множество этих уравнений. Нужно ли мне читать данные , чтобы динамически рисовать и его координаты x / y из plist (или другого хранилища), а затем рисовать уравнение? Rightтеперь я просто жестко кодирую данные и координаты x / y (, как показано в примере кода ниже -). 

- (void)drawRect:(CGRect)rect
{
// Left hand side Starts --
float xaxis = 3.0f;

// Before bracket
NSString *textString = @"L";
[textString drawAtPoint:CGPointMake(xaxis, 50.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

// Opening bracket
xaxis += 12.0f;
textString = @"(";
[textString drawAtPoint:CGPointMake(xaxis, 30.) withFont:[UIFont fontWithName:@"Helvetica" size:50]];

textString = @"N";
xaxis += 12.0f;
[textString drawAtPoint:CGPointMake(xaxis, 50.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

// Numerator part
unichar oneChar[] = {0x2206};
xaxis += 31.0f;
textString = getTextString(oneChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 37.) withFont:[UIFont fontWithName:@"Helvetica" size:22]];

unichar twoChar[] = {0x03C9};
xaxis += 15.0f;
textString = getTextString(twoChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"k";
[textString drawAtPoint:CGPointMake(xaxis, 48.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

// Line
CGContextRef myContext = UIGraphicsGetCurrentContext();    
CGContextSetLineWidth(myContext, 2);
CGContextSetStrokeColorWithColor(myContext, [UIColor blackColor].CGColor);    
CGContextMoveToPoint(myContext, 45, 65);
CGContextAddLineToPoint(myContext, 110, 65);
CGContextStrokePath(myContext);

// Denominator part
xaxis -= 40.0f;
unichar threeChar[] = {0x03C9};
textString = getTextString(threeChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"res";
[textString drawAtPoint:CGPointMake(xaxis, 74.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 18.0f;
unichar fourChar[] = {0x0028};
textString = getTextString(fourChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 5.0f;
unichar fiveChar[] = {0x03B8};
textString = getTextString(fiveChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

xaxis += 15.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

// Closing bracket
xaxis += 8.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 30.) withFont:[UIFont fontWithName:@"Helvetica" size:50]];

// Equal to sign
xaxis += 15.0f;
unichar sixChar[] = {0x003D};
textString = getTextString(sixChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 50.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

// Right hand side Starts --

// Numerator part
xaxis += 15.0f;
textString = @"sin";
[textString drawAtPoint:CGPointMake(xaxis, 42.) withFont:[UIFont fontWithName:@"Helvetica" size:17]];

xaxis += 20.0f;
textString = @"2";
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

// Inner opening bracket
xaxis += 10.0f;
textString = @"(";
[textString drawAtPoint:CGPointMake(xaxis, 37.) withFont:[UIFont fontWithName:@"Helvetica" size:22]];

xaxis += 8.0f;
textString = @"N";
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

xaxis += 18.0f;
unichar sevenChar[] = {0x03C0};
textString = getTextString(sevenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 40.) withFont:[UIFont fontWithName:@"Helvetica" size:17]];

xaxis += 12.0f;
unichar eightChar[] = {0x2206};
textString = getTextString(eightChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 36.) withFont:[UIFont fontWithName:@"Helvetica" size:21]];

xaxis += 15.0f;
unichar nineChar[] = {0x03C9};
textString = getTextString(nineChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"k";
[textString drawAtPoint:CGPointMake(xaxis, 47.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 8.0f;
textString = @"/";
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:24]];

xaxis += 8.0f;
unichar tenChar[] = {0x03C9};
textString = getTextString(tenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"res";
[textString drawAtPoint:CGPointMake(xaxis, 48.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 18.0f;
textString = @"(";
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 5.0f;
unichar elevenChar[] = {0x03B8};
textString = getTextString(elevenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

xaxis += 12.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 38.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

// Inner closing bracket
xaxis += 6.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 37.) withFont:[UIFont fontWithName:@"Helvetica" size:22]];

// Line    
CGContextSetLineWidth(myContext, 2);
CGContextSetStrokeColorWithColor(myContext, [UIColor blackColor].CGColor);    
CGContextMoveToPoint(myContext, 138, 65);
CGContextAddLineToPoint(myContext, 318, 65);
CGContextStrokePath(myContext);

// Denominator part
xaxis -= 175.0f;    
textString = @"N";
[textString drawAtPoint:CGPointMake(xaxis, 65.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

xaxis += 18.0f;
textString = @"2";
[textString drawAtPoint:CGPointMake(xaxis, 63.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 8.0f;
textString = @"sin";
[textString drawAtPoint:CGPointMake(xaxis, 68.) withFont:[UIFont fontWithName:@"Helvetica" size:17]];

xaxis += 20.0f;
textString = @"2";
[textString drawAtPoint:CGPointMake(xaxis, 63.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

// Inner opening bracket
xaxis += 10.0f;
textString = @"(";
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:22]];

xaxis += 8.0f;
unichar twelveChar[] = {0x03C0};
textString = getTextString(twelveChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 68.) withFont:[UIFont fontWithName:@"Helvetica" size:17]];

xaxis += 12.0f;
unichar thirteenChar[] = {0x2206};
textString = getTextString(thirteenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 65.) withFont:[UIFont fontWithName:@"Helvetica" size:21]];

xaxis += 15.0f;
unichar fourteenChar[] = {0x03C9};
textString = getTextString(fourteenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 67.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"k";
[textString drawAtPoint:CGPointMake(xaxis, 75.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 8.0f;
textString = @"/";
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:24]];

xaxis += 8.0f;
unichar fifteenChar[] = {0x03C9};
textString = getTextString(fifteenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 67.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 15.0f;
textString = @"res";
[textString drawAtPoint:CGPointMake(xaxis, 75.) withFont:[UIFont fontWithName:@"Helvetica" size:12]];

xaxis += 18.0f;
textString = @"(";
[textString drawAtPoint:CGPointMake(xaxis, 66.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

xaxis += 5.0f;
unichar sixteenChar[] = {0x03B8};
textString = getTextString(sixteenChar, 1);
[textString drawAtPoint:CGPointMake(xaxis, 66.) withFont:[UIFont fontWithName:@"Helvetica-Oblique" size:20]];

xaxis += 12.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 66.) withFont:[UIFont fontWithName:@"Helvetica" size:20]];

// Inner closing bracket
xaxis += 6.0f;
textString = @")";
[textString drawAtPoint:CGPointMake(xaxis, 64.) withFont:[UIFont fontWithName:@"Helvetica" size:22]];

// Extra text for information
xaxis = 6.0f;
textString = @"Above is the example of an equation drawn using";
[textString drawAtPoint:CGPointMake(xaxis, 120.) withFont:[UIFont fontWithName:@"Helvetica" size:14]];
xaxis = 6.0f;
textString = @"Quartz2D";
[textString drawAtPoint:CGPointMake(xaxis, 140.) withFont:[UIFont fontWithName:@"Helvetica" size:14]];

}

static NSString *getTextString(unichar chars[], int charLength)
{   
NSString *uniString = [NSString stringWithCharacters:chars length: charLength];
return uniString;
}

Ответы [ 2 ]

0 голосов
/ 14 мая 2012

Если вы рисуете ограниченный класс функций, например, многочлены, вы можете написать процедуру, которая рисует произвольный многочлен в виде последовательности крошечных соединенных отрезков.

Например, 

#define STEP = .05f;
draw_polynomial(context, MIN_X, MAX_X, polynomial) {
    CGFloat y = polynomial.evaluateAtX(MIN_X);
    CGContextBeginPath(context);
    CGContextMoveToPoint(context, MIN_X, y);
    for (CGFloat x = MIN_X + STEP; x < MAX_X; x += STEP){
       y = polynomial.evaluateAtX(x)
       CGContextAddLineToPoint(context, x, y);
    }
    CGContextStrokePath(context);
 }
0 голосов
/ 14 мая 2012

Ну, разница в том, что у вас гораздо меньше контроля над просмотром веб-страниц, чем вы делаете то, что делаете изначально.С веб-представлением вы оборачиваете решение, которое придумал кто-то другой.Если вы делаете вещи сами, у вас гораздо больше контроля.

...