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Copy pathValue.m
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executable file
·1038 lines (932 loc) · 25 KB
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// ##############################################################
// Value.m
// Magic Number Machine
//
// Created by Matt Gallagher on Sun Apr 20 2003.
// Copyright (c) 2003 Matt Gallagher. All rights reserved.
// ##############################################################
#import "Value.h"
#import "BigCFloat.h"
#import "DataManager.h"
//
// About Value
//
// This class contains any user entered number. The number is store as a BigCFloat
// within the class.
//
// By far the ugliest part of this class is the drawing and user input functions. Drawing
// has to account for a large number of quirks that people expect, plus the layout of
// real and imaginary parts and the scientific exponent. User input has to track a
// number of values like number of fractional point places entered... all of which tend
// to change without notice.
//
// This is the only class which actually implements a number of methods which are
// simply passed through or ignore in other classes.
//
@implementation Value
//
// initWithParent
//
// Initalises the class to default (empty).
//
- (instancetype)initWithParent:(Expression*)newParent andManager:(DataManager*)newManager
{
self = [super initWithParent:newParent andManager:newManager];
if (self)
{
userPointState = -1;
imaginaryPointState = -1;
postPoint = 0;
postImaginaryPoint = 0;
hasExponent = NO;
hasImaginary = NO;
hasImaginaryExponent = NO;
usesComplement = 0;
}
return self;
}
//
// initWithParent
//
// Initialises the class with a BigCFloat as the initial value.
//
- (instancetype)initWithParent:(Expression*)newParent value:(BigCFloat*)newValue andManager:(DataManager*)newManager
{
self = [super initWithParent:newParent andManager:newManager];
if (self)
{
userPointState = -1;
imaginaryPointState = -1;
postPoint = 0;
postImaginaryPoint = 0;
hasExponent = NO;
hasImaginary = NO;
hasImaginaryExponent = NO;
usesComplement = -1; // force reprocessing of above variables
[value assign:newValue];
}
return self;
}
//
// initWithCoder
//
// Part of the NSCoder protocol. Required for copy and paste.
//
- (instancetype)initWithCoder:(NSCoder *)coder
{
self = [super initWithCoder:coder];
value = [coder decodeObjectForKey:@"MEValue"];
userPointState = -1;
imaginaryPointState = -1;
postPoint = 0;
postImaginaryPoint = 0;
hasExponent = NO;
hasImaginary = NO;
hasImaginaryExponent = NO;
usesComplement = -1; // force reprocessing of above variables
return self;
}
//
// encodeWithCoder
//
// Part of the NSCoder protocol. Required for copy and paste.
//
- (void)encodeWithCoder:(NSCoder *)coder
{
// Looks like I have nothing special to do at the moment
[super encodeWithCoder:coder];
}
//
// appendDigit
//
// Appends a digit to the number contained by this node. This method is made more
// complicated because it has to track decimal points, the user trying to type more digits
// than will fit, the number of digits and imaginary numbers.
//
- (void)appendDigit:(int)digit
{
int fixedPlaces = [manager getFixedPlaces];
if ((hasExponent && !hasImaginary && digit != 'i') || hasImaginaryExponent)
{
[value appendExpDigit:digit];
}
else
{
if
(
!(digit >= 0 && digit <= 15)
||
(
(fixedPlaces == 0 && [value mantissaLength] < [manager getLengthLimit])
||
(
fixedPlaces != 0
&&
(
(!hasImaginary && (postPoint < fixedPlaces))
||
(hasImaginary && (postImaginaryPoint < fixedPlaces))
)
)
)
)
{
BOOL digit_added = [value appendDigit:digit useComplement:usesComplement];
if (!digit_added)
return;
if (digit >= 0 && digit <= 15)
{
if (hasImaginary && !hasImaginaryExponent && imaginaryPointState != -1)
postImaginaryPoint++;
else if (!hasImaginary && !hasExponent && userPointState != -1)
postPoint++;
}
}
}
if (!hasImaginary && digit == 'i')
{
hasImaginary = YES;
if (userPointState == 0)
{
userPointState = -1;
}
}
if (digit >= 0 && digit <= 15)
{
if (userPointState == 0)
{
userPointState = 1;
[value setUserPoint:1];
}
if (imaginaryPointState == 0)
{
imaginaryPointState = 1;
[value setUserPoint:1];
}
}
[self valueChanged];
}
//
// clear
//
// Pretty simple: sets the number contained by this node to zero.
//
- (void)clear
{
[parent childDeleted:self];
}
//
// deleteDigit
//
// Delete one digit from the right of the number. Does not yet function perfectly
// for numbers not typed by the user as it does not correctly track all values. Sigh.
//
// Most of the logic in this method is trying to track the reverse of appendDigit.
//
- (void)deleteDigit
{
if (hasExponent || hasImaginaryExponent)
[value deleteExpDigit];
else
[value deleteDigitUseComplement:usesComplement];
// Update any of the things which may have changed
if (hasImaginary)
{
if (hasImaginaryExponent)
{
if (![value imaginaryHasExponent])
hasImaginaryExponent = NO;
}
else
{
if (imaginaryPointState == 1)
postImaginaryPoint--;
if (![value hasImaginary] && postImaginaryPoint == 0)
{
hasImaginary = NO;
imaginaryPointState = -1;
}
else if (imaginaryPointState != -1 && [value getUserPoint] == 0)
{
imaginaryPointState = -1;
}
}
}
else
{
if (hasExponent)
{
if (![value hasExponent])
hasExponent = NO;
}
else
{
if (userPointState == 1)
postPoint--;
if (userPointState != -1 && [value getUserPoint] == 0)
{
userPointState = -1;
}
}
}
// Delete this node of the expression tree if everything is deleted
if (!hasImaginary && !hasExponent && [value isZero] && postPoint == 0)
{
[parent childDeleted:self];
return;
}
else
{
[self valueChanged];
}
}
//
// exponentPressed
//
// Puts a scientific notation style exponent on this value if none currently exists. If
// there is an imaginary part, it gets it instead.
//
- (void)exponentPressed
{
if (hasImaginary)
{
hasImaginaryExponent = YES;
if (imaginaryPointState == 0)
imaginaryPointState = -1;
}
else
{
hasExponent = YES;
if (userPointState == 0)
userPointState = -1;
}
[self valueChanged];
}
//
// getExpressionString
//
// Converts the current value to a string. Most of this method would not exist (it is basically
// a duplication of generateValuePath) except this is really late in development and I'm long
// past caring about good programming style :-)
//
- (NSString*)getExpressionString
{
NSString *mantissa;
NSString *exponent;
NSString *imaginary;
NSString *imExponent;
NSString *resultString = @"";
NSString *dp = [[NSLocale currentLocale] objectForKey:NSLocaleDecimalSeparator];
unsigned int lengthLimit;
BOOL fillLimit;
BOOL radixChanged = NO;
unsigned int fixedPlaces;
NSArray *splitString;
int extraZeros;
BOOL showReal = NO;
BOOL thousands = NO;
BOOL fractionSep = NO;
// Get the parameters we will need for drawing
if (manager != nil)
{
thousands = [manager getThousandsSeparator];
fractionSep = [manager getFractionSeparator];
lengthLimit = [manager getLengthLimit];
fillLimit = [manager getFillLimit];
fixedPlaces = [manager getFixedPlaces];
if ([manager getRadix] != [value radix])
{
[value convertToRadix:[manager getRadix]];
radixChanged = YES;
}
if ([manager getComplement] != usesComplement)
{
usesComplement = [manager getComplement];
radixChanged = YES;
}
}
else
{
lengthLimit = 12;
fillLimit = NO;
fixedPlaces = 0;
radixChanged = YES;
}
// Get the required string representations from the number
[value
limitedString:lengthLimit
fixedPlaces:fixedPlaces
fillLimit:fillLimit
complement:usesComplement
mantissa:&mantissa
exponent:&exponent
imaginaryMantissa:&imaginary
imaginaryExponent:&imExponent
];
// If the radix has changed since we last updated we may need to adjust class variables.
// We do this after getting the string values because we may need them to perform
// the update
if (radixChanged)
{
splitString = [mantissa componentsSeparatedByString:dp];
if ([splitString count] < 2)
{
userPointState = -1;
postPoint = 0;
}
else
{
userPointState = 1;
postPoint = (int)[(NSString*)splitString[1] length];
if (fixedPlaces != 0)
{
NSString *afterPoint = (NSString*)splitString[1];
while (postPoint > 0)
{
if ([afterPoint characterAtIndex:postPoint - 1] != L'0')
break;
postPoint--;
}
if (postPoint == 0)
userPointState = -1;
}
}
hasExponent = [exponent length] > 0;
if ([imaginary length] > 0)
{
hasImaginary = YES;
splitString = [imaginary componentsSeparatedByString:dp];
if ([splitString count] < 2)
{
imaginaryPointState = -1;
postImaginaryPoint = 0;
}
else
{
imaginaryPointState = 1;
postImaginaryPoint = (int)[(NSString*)splitString[1] length];
if (fixedPlaces != 0)
{
NSString *afterPoint = (NSString*)splitString[1];
while (postImaginaryPoint > 0)
{
if ([afterPoint characterAtIndex:postImaginaryPoint - 1] != L'0')
break;
postImaginaryPoint--;
}
if (postImaginaryPoint == 0)
imaginaryPointState = -1;
}
}
hasImaginaryExponent = [imExponent length] > 0;
}
else
{
hasImaginary = NO;
hasImaginaryExponent = NO;
imaginaryPointState = -1;
postImaginaryPoint = 0;
}
}
// Do we need to show the real part of the number?
if (![mantissa isEqualToString:@"0"] || hasExponent || !hasImaginary)
showReal = YES;
// Show the real part of the string
if (showReal)
{
// Append/Prepend certain bits to the real mantissa string
if (userPointState == 0 && fillLimit == NO)
{
mantissa = [mantissa stringByAppendingString:dp];
}
else if (userPointState != -1 && fillLimit == NO && postPoint > 0)
{
splitString = [mantissa componentsSeparatedByString:dp];
if ([splitString count] > 1)
{
extraZeros = postPoint - (int)[(NSString*)splitString[1] length];
}
else
{
mantissa = [mantissa stringByAppendingString:dp];
extraZeros = postPoint;
}
while (extraZeros > 0)
{
mantissa = [mantissa stringByAppendingString:@"0"];
extraZeros--;
}
}
if (usesComplement > 0)
{
while ([mantissa length] < lengthLimit + ((userPointState != -1) ? 1 : 0))
{
mantissa = [@"0" stringByAppendingString:mantissa];
}
}
if (thousands) mantissa = [self insertThousands:mantissa];
if (fractionSep) mantissa = [self insertFractions:mantissa];
resultString = [resultString stringByAppendingString:mantissa];
if ((hasExponent && fillLimit == NO) || [exponent length] > 0)
{
resultString = [resultString stringByAppendingString:@"x10^"];
resultString = [resultString stringByAppendingString:exponent];
}
}
if (hasImaginary)
{
// Get the text representation of the exponent value
if (imaginaryPointState == 0 && fillLimit == NO)
{
imaginary = [imaginary stringByAppendingString:dp];
}
else if (imaginaryPointState == 1 && fillLimit == NO && postImaginaryPoint > 0)
{
splitString = [imaginary componentsSeparatedByString:dp];
if ([splitString count] > 1)
{
extraZeros = postImaginaryPoint - (int)[(NSString*)splitString[1] length];
}
else
{
imaginary = [imaginary stringByAppendingString:dp];
extraZeros = postImaginaryPoint;
}
while (extraZeros > 0)
{
imaginary = [imaginary stringByAppendingString:@"0"];
extraZeros--;
}
}
if (usesComplement > 0)
{
while ([imaginary length] < lengthLimit + ((imaginaryPointState != -1) ? 1 : 0))
{
imaginary = [@"0" stringByAppendingString:imaginary];
}
}
// In the case where the value is simply "1", leave it as implicit
if ([imaginary isEqualToString:@"1"]) imaginary = @"";
if ([imaginary isEqualToString:@"-1"]) imaginary = @"-";
// Show a leading plus sign if there is a real part
if (showReal && ([imaginary length] == 0 || [imaginary characterAtIndex:0] != '-'))
{
imaginary = [@"+" stringByAppendingString:imaginary];
}
if (thousands) imaginary = [self insertThousands:imaginary];
if (fractionSep) imaginary = [self insertFractions:imaginary];
resultString = [resultString stringByAppendingString:mantissa];
if ((hasImaginaryExponent && fillLimit == NO) || [imExponent length] > 0)
{
resultString = [resultString stringByAppendingString:@"x10^"];
resultString = [resultString stringByAppendingString:imExponent];
}
resultString = [resultString stringByAppendingString:@"i"];
}
return resultString;
}
- (void)appendString:(NSString *)string withSize:(CGFloat)size {
NSTextStorage *text = [[NSTextStorage alloc] initWithString:@""];
NSLayoutManager *layoutManager = [[NSLayoutManager alloc] init];
int numGlyphs;
CGGlyph *glyphs;
int i;
[text addLayoutManager:layoutManager];
[text setAttributedString:
[[NSAttributedString alloc]
initWithString:string
attributes:@{NSFontAttributeName: [ExpressionSymbols getDisplayFontWithSize:size]}
]
];
numGlyphs = (int)[layoutManager numberOfGlyphs];
if (numGlyphs > 0)
{
glyphs = (CGGlyph *)malloc(sizeof(CGGlyph) * numGlyphs);
for (i = 0; i < numGlyphs; i++)
{
glyphs[i] = [layoutManager CGGlyphAtIndex:i];
}
[expressionPath
appendBezierPathWithCGGlyphs:glyphs
count:numGlyphs
inFont:[text attribute:NSFontAttributeName atIndex:0 effectiveRange:NULL]
];
free(glyphs);
}
}
- (void)appendExponent:(NSString*)exponent {
NSTextStorage *text = [[NSTextStorage alloc] initWithString:@""];
NSLayoutManager *layoutManager = [[NSLayoutManager alloc] init];
int numGlyphs;
CGGlyph *glyphs;
int i;
[text addLayoutManager:layoutManager];
[text setAttributedString:
[[NSAttributedString alloc]
initWithString:exponent
attributes:@{NSFontAttributeName: [ExpressionSymbols getDisplayFontWithSize:12]}
]
];
numGlyphs = (int)[layoutManager numberOfGlyphs];
if (numGlyphs > 0)
{
glyphs = (CGGlyph *)malloc(sizeof(CGGlyph) * numGlyphs);
for (i = 0; i < numGlyphs; i++)
{
glyphs[i] = [layoutManager CGGlyphAtIndex:i];
}
[expressionPath relativeMoveToPoint:NSMakePoint(-10, 8.5)];
[expressionPath
appendBezierPathWithCGGlyphs:glyphs
count:numGlyphs
inFont:[text attribute:NSFontAttributeName atIndex:0 effectiveRange:NULL]
];
[expressionPath relativeMoveToPoint:NSMakePoint(0, -8.5)];
free(glyphs);
}
}
//
// generateValuePath
//
// Generates strings for each part of the number and generates bezier paths and then
// assembles the resultant path into a graphically laid out number. There's a lot more
// work to this than you'd expect.
//
- (void)generateValuePath
{
NSString *mantissa;
NSString *exponent;
NSString *imaginary;
NSString *imExponent;
NSString *dp = [[NSLocale currentLocale] objectForKey:NSLocaleDecimalSeparator];
unsigned int lengthLimit;
BOOL fillLimit;
BOOL radixChanged = NO;
unsigned int fixedPlaces;
NSArray *splitString;
int extraZeros;
BOOL showReal = NO;
BOOL thousands = NO;
BOOL fractionSep = NO;
// Get the parameters we will need for drawing
if (manager != nil)
{
lengthLimit = [manager getLengthLimit];
fillLimit = [manager getFillLimit];
fixedPlaces = [manager getFixedPlaces];
thousands = [manager getThousandsSeparator];
fractionSep = [manager getFractionSeparator];
if ([manager getRadix] != [value radix])
{
[value convertToRadix:[manager getRadix]];
radixChanged = YES;
}
if ([manager getComplement] != usesComplement)
{
usesComplement = [manager getComplement];
radixChanged = YES;
}
}
else
{
lengthLimit = 12;
fillLimit = NO;
fixedPlaces = 0;
radixChanged = YES;
}
// Get the required string representations from the number
[value
limitedString:lengthLimit
fixedPlaces:fixedPlaces
fillLimit:fillLimit
complement:usesComplement
mantissa:&mantissa
exponent:&exponent
imaginaryMantissa:&imaginary
imaginaryExponent:&imExponent
];
// If the radix has changed since we last updated we may need to adjust class variables.
// We do this after getting the string values because we may need them to perform
// the update
if (radixChanged)
{
splitString = [mantissa componentsSeparatedByString:dp];
if ([splitString count] < 2)
{
userPointState = -1;
postPoint = 0;
}
else
{
userPointState = 1;
postPoint = (int)[(NSString*)splitString[1] length];
if (fixedPlaces != 0)
{
NSString *afterPoint = (NSString*)splitString[1];
while (postPoint > 0)
{
if ([afterPoint characterAtIndex:postPoint - 1] != L'0')
break;
postPoint--;
}
if (postPoint == 0)
userPointState = -1;
}
}
hasExponent = [exponent length] > 0;
if ([imaginary length] > 0)
{
hasImaginary = YES;
splitString = [imaginary componentsSeparatedByString:dp];
if ([splitString count] < 2)
{
imaginaryPointState = -1;
postImaginaryPoint = 0;
}
else
{
imaginaryPointState = 1;
postImaginaryPoint = (int)[(NSString*)splitString[1] length];
if (fixedPlaces != 0)
{
NSString *afterPoint = (NSString*)splitString[1];
while (postImaginaryPoint > 0)
{
if ([afterPoint characterAtIndex:postImaginaryPoint - 1] != L'0')
break;
postImaginaryPoint--;
}
if (postImaginaryPoint == 0)
imaginaryPointState = -1;
}
}
hasImaginaryExponent = [imExponent length] > 0;
}
else
{
hasImaginary = NO;
hasImaginaryExponent = NO;
imaginaryPointState = -1;
postImaginaryPoint = 0;
}
}
// Do we need to show the real part of the number?
if (![mantissa isEqualToString:@"0"] || hasExponent || !hasImaginary)
showReal = YES;
// Create a bezier path to contain the display
expressionPath = [NSBezierPath bezierPath];
[expressionPath moveToPoint:NSMakePoint(0, 0)];
// Show the real part of the string
if (showReal)
{
// Append/Prepend certain bits to the real mantissa string
if (userPointState == 0 && fillLimit == NO)
{
mantissa = [mantissa stringByAppendingString:dp];
}
else if (userPointState != -1 && fillLimit == NO && postPoint > 0)
{
splitString = [mantissa componentsSeparatedByString:dp];
if ([splitString count] > 1)
{
extraZeros = postPoint - (int)[(NSString*)splitString[1] length];
}
else
{
mantissa = [mantissa stringByAppendingString:dp];
extraZeros = postPoint;
}
while (extraZeros > 0)
{
mantissa = [mantissa stringByAppendingString:@"0"];
extraZeros--;
}
}
if (usesComplement > 0)
{
while ([mantissa length] < lengthLimit + ((userPointState != -1) ? 1 : 0))
{
mantissa = [@"0" stringByAppendingString:mantissa];
}
}
if (thousands) mantissa = [self insertThousands:mantissa];
if (fractionSep) mantissa = [self insertFractions:mantissa];
[self appendString:mantissa withSize:24];
if ((hasExponent && fillLimit == NO) || [exponent length] > 0)
{
// Write the x10 in nice little text
[self appendString:@"×10" withSize:8.5];
// Get the text representation of the exponent value
[self appendExponent:exponent];
}
}
if (hasImaginary)
{
// Get the text representation of the exponent value
if (imaginaryPointState == 0 && fillLimit == NO)
{
imaginary = [imaginary stringByAppendingString:dp];
}
else if (imaginaryPointState == 1 && fillLimit == NO && postImaginaryPoint > 0)
{
splitString = [imaginary componentsSeparatedByString:dp];
if ([splitString count] > 1)
{
extraZeros = postImaginaryPoint - (int)[(NSString*)splitString[1] length];
}
else
{
imaginary = [imaginary stringByAppendingString:dp];
extraZeros = postImaginaryPoint;
}
while (extraZeros > 0)
{
imaginary = [imaginary stringByAppendingString:@"0"];
extraZeros--;
}
}
if (usesComplement > 0)
{
while ([imaginary length] < lengthLimit + ((imaginaryPointState != -1) ? 1 : 0))
{
imaginary = [@"0" stringByAppendingString:imaginary];
}
}
// In the case where the value is simply "1", leave it as implicit
if ([imaginary isEqualToString:@"1"]) imaginary = @"";
if ([imaginary isEqualToString:@"-1"]) imaginary = @"-";
// Show a leading plus sign if there is a real part
if (showReal && ([imaginary length] == 0 || [imaginary characterAtIndex:0] != '-'))
{
imaginary = [@"+" stringByAppendingString:imaginary];
}
if (thousands) imaginary = [self insertThousands:imaginary];
if (fractionSep) imaginary = [self insertFractions:imaginary];
[self appendString:imaginary withSize:24];
if ((hasImaginaryExponent && fillLimit == NO) || [imExponent length] > 0)
{
// Write the x10 in nice little text
[self appendString:@"×10" withSize:8.5];
// Get the text representation of the exponent value
[self appendExponent:imExponent];
}
// And finally... actually draw the "i"
[self appendString:@"i" withSize:24];
}
}
//
// pathAtLevel
//
// Returns the bezierPath representation of this value. generateValuePath does most
// of the work. This method really just scales the result and sets the bounds.
//
- (NSBezierPath*)pathAtLevel:(int)level
{
NSAffineTransform *transform;
NSBezierPath *copy;
double scale = [Expression scaleWithLevel:level];
// Generate the path if required
if (pathValidAt != level)
{
[self generateValuePath];
if (level >= 2)
{
transform = [NSAffineTransform transform];
[transform scaleBy:scale];
[expressionPath transformUsingAffineTransform:transform];
}
// Record that the path has been properly updated since the last invalidation
if (![expressionPath isEmpty])
naturalBounds = [expressionPath bounds];
else
naturalBounds = NSMakeRect(0.0, 0.0, 0.0, 0.0);
childNaturalBounds = NSMakeRect(0.0, 0.0, 0.0, 0.0);
pathValidAt = level;
}
copy = [NSBezierPath bezierPath];
[copy appendBezierPath:expressionPath];
return copy;
}
//
// userPointPressed
//
// Puts a user point in the real or imaginary part of the number as appropriate.
//
- (void)userPointPressed
{
int fixedPlaces = [manager getFixedPlaces];
if ((hasExponent && !hasImaginary) || hasImaginaryExponent)
return;
if
(
(fixedPlaces == 0 && [value mantissaLength] < [manager getLengthLimit])
||
(
fixedPlaces != 0
&&
(
(!hasImaginary && (postPoint < fixedPlaces))
||
(hasImaginary && (postImaginaryPoint < fixedPlaces))
)
)
)
{
if (!hasImaginary)
{
if (userPointState == -1)
{
userPointState = 0;
[self valueChanged];
}
else if (userPointState == 0)
{
userPointState = -1;
[self valueChanged];
}
}
else
{
if (imaginaryPointState == -1)
{
imaginaryPointState = 0;
[self valueChanged];
}
else if (imaginaryPointState == 0)
{
imaginaryPointState = -1;
[self valueChanged];
}
}
}
}
- (NSString *)insertFractions:(NSString *)mantissa
{
int point;
int distance = 3;
NSString *separator = @" ";
NSString *dp = [[NSLocale currentLocale] objectForKey:NSLocaleDecimalSeparator];
NSMutableString *mutable;
int firstChar;
if ([mantissa length] == 0) return mantissa;
firstChar = [mantissa characterAtIndex:0];
// Return immediately if not a valid mantissa (ie "Not a number")
if ((firstChar < '-' || firstChar > '9') && firstChar != '-' && firstChar != '+')
return mantissa;
NSRange range = [mantissa rangeOfString:dp];
point = (int)range.location;
if (range.location == NSNotFound) return mantissa;
if (point < mantissa.length) {
point += distance + 1;
mutable = [NSMutableString stringWithString:mantissa];
while (point < mutable.length) {
[mutable insertString:separator atIndex:point];
point += distance + 1;
}
mantissa = [NSString stringWithString:mutable];
}
return mantissa;
}
- (NSString *)insertThousands:(NSString *)mantissa
{
int point;
int distance;
int leftEdge;
NSString *separator = @" ";
NSString *dp = [[NSLocale currentLocale] objectForKey:NSLocaleDecimalSeparator];
NSMutableString *mutable;
int firstChar;
if ([mantissa length] == 0)
return mantissa;