package jas.util; import java.math.BigDecimal; import java.text.FieldPosition; import java.text.Format; import java.text.ParsePosition; /** * This code formats numbers in Scientific Notation. The input Number object is returned * as a ScientificFormated string. There are two output styles: Pure and Standard scientific * notation. Pure formatted numbers have precisely the number of digits specified by the * significant digits (sigDig) parameter and always specify a Base 10 Exponential(E). * Standard formated numbers have the number of digits specified by the significant * digits (sigDig) parameter but will not have a Base 10 Exponential(E) if the number of digits * in the mantissa <= maxWidth. * * @author Paul Spence * @version 03/20/2000 */ public class ScientificFormat extends Format { /** * The number of significant digits the number is formatted to is recorded by sigDigit. * The maximum width allowed fro the returned String is recorded by MaxWidth */ private int sigDigit = 5; private int maxWidth = 8; private boolean SciNote = false; //set to true for pure Scientific Notation public ScientificFormat() { } /** * Sets the significant digits, maximum allowable width and number formatting style * (SciNote == true for Pure formatting). */ public ScientificFormat(int sigDigit, int maxWidth, boolean SciNote) { setSigDigits(sigDigit); setMaxWidth(maxWidth); setScientificNotationStyle(SciNote); } /** * Implementation of inherited abstract method. Checks to see if object to be formatted * is of type Number. If so casts the Number object to double and calls the format method. * Returns the result. */ public StringBuffer format(Object obj, StringBuffer toAppendTo, FieldPosition pos) { if (obj instanceof Number) { String result = format(((Number) obj).doubleValue()); return toAppendTo.append(result); } else if (obj instanceof DoubleWithError) { DoubleWithError dwe = (DoubleWithError) obj; toAppendTo.append(format(dwe.getValue())); toAppendTo.append(dwe.plusorminus); int errorSigDigit = resolveErrorSigDigit(dwe.getValue(),dwe.getError()); toAppendTo.append(formatError(errorSigDigit,dwe.getError())); return toAppendTo; } else throw new IllegalArgumentException("Cannot format given Object as a Number"); } /**Dummy implementation of inherited abstract method. */ public Object parseObject (String source, ParsePosition pos) { return null; } /** * Returns the number of significant digits */ public int getSigDigits() { return sigDigit; } /** * Returns the maximum allowable width of formatted number excluding any exponentials */ public int getMaxWidth() { return maxWidth; } /** * Returns the formatting style: True means Pure scientific formatting, False means standard. */ public boolean getScientificNotationStyle() { return SciNote; } /** * Sets the number of significant digits for the formatted number */ public void setSigDigits(int SigDigit) { if (SigDigit < 1) throw new IllegalArgumentException ("sigDigit"); sigDigit = SigDigit; } /** * Sets the maximum allowable length of the formattted number mantissa before exponential notation * is used. */ public void setMaxWidth(int mWidth) { if (mWidth < 3) throw new IllegalArgumentException ("maxWidth"); maxWidth = mWidth; } /** * Sets the format style used. * There are two output styles: Pure and Standard scientific * notation. Pure formatted numbers have precisely the number of digits specified by the * significant digits (sigDig) parameter and always specify a Base 10 Exponential(E). * Standard formated numbers have the number of digits specified by the significant * digits (sigDig) parameter but will not have a Base 10 Exponential(E) if the number of digits * in the mantissa <= maxWidth. */ public void setScientificNotationStyle(boolean sciNote) { SciNote = sciNote; } //simplify method for taking log base 10 of x private final static double k = 1/Math.log(10); private double Log10(double x) { if (x==0) return 0; else return Math.log(x)*k; } private int resolveErrorSigDigit(double x, double dx){ //dx should never be negative dx = Math.abs(dx); //make x +ve cause negative doesn't effect sigdigits x=Math.abs(x); //these circumstances errorsigdit does equal sigdigit, excluding infinity and Nan which are handled by format if(dx == 0 || Double.isInfinite(dx) || Double.isNaN(dx) || dx >= x) return sigDigit; //fail cases for log, method fails to handle if(x==0||Double.isInfinite(x) || Double.isNaN(x))return sigDigit; //other wise solve for cases when dx< x int log =(int)Math.round(Log10(dx/x));//always will return negative number int errorsigdigit = sigDigit+log; if(errorsigdigit <1) return 1; return errorsigdigit; } /** * Format the number using scientific notation */ public String format(double d) { // Deal with a few special values first if (Double.isInfinite(d)) return maxWidth < 8 ? "INF" : "Infinite"; if (Double.isNaN(d)) return "NaN"; String result=""; double c=0; int ShiftNumber = 0; int IntOfNumberinput = 0; //preserve sign if (d==0) return "0"; else { c=d; d=Math.abs(c); } // (i.e. 10 -> 1, 100 -> 2,9 -> 0 , .9 -> -1, .0009 -> -4) //error here 10 -> 1.0000 floors to 0 IntOfNumberinput = (int) Math.floor(Log10(d));//returns largest int value that is smaller than log10(d) //deal with above error if((IntOfNumberinput>-1)&&(d%(Math.pow(10,IntOfNumberinput+1)) == 0)){ IntOfNumberinput++; } //if 0 Formattedbunk.length()){ IntOfNumberinput++; } //Do not display in pure sci notattion - limit use of E if (SciNote == false) { if (IntOfNumberinput < 0 ) { String LoopZero1=""; for (int a=0; a<(Math.abs(IntOfNumberinput)-1);a++){ LoopZero1=LoopZero1+"0"; } result="0"+"."+LoopZero1+Formatted; } else{ String[] FillDigits = new String[IntOfNumberinput+1]; for(int a=0;a<=IntOfNumberinput;a++){ FillDigits[a]="0"; } int a = 0; while((a < Formatted.length()) && a<=IntOfNumberinput){ FillDigits[a] = Formatted.substring(a,a+1); a++; } for(int i=0; i <= FillDigits.length-1 ; i++){ result = result + FillDigits[i]; } int length = result.length(); if(length maxWidth){ result=Formatted.substring(0,1)+"."+Formatted.substring(1,sigDigit)+"E"+IntOfNumberinput; } } //output in pure Scientific Notation if(SciNote == true){ result=Formatted.substring(0,1)+"."+Formatted.substring(1,sigDigit)+"E"+IntOfNumberinput; } //regain negative and return if(c>0) return result; else return "-"+result; } /** * Format the number using scientific notation */ public String formatError(int eSD,double d) { // Deal with a few special values first if (Double.isInfinite(d)) return maxWidth < 8 ? "INF" : "Infinite"; if (Double.isNaN(d)) return "NaN"; int errorSigDigit = eSD; String result=""; double c=0; int ShiftNumber = 0; int IntOfNumberinput = 0; //preserve sign if (d==0) return "0"; else { c=d; d=Math.abs(c); } // (i.e. 10 -> 1, 100 -> 2,9 -> 0 , .9 -> -1, .0009 -> -4) //error here 10 -> 1.0000 floors to 0 IntOfNumberinput = (int) Math.floor(Log10(d));//returns largest int value that is smaller than log10(d) //deal with above error if((IntOfNumberinput>-1)&&(d%(Math.pow(10,IntOfNumberinput+1)) == 0)){ IntOfNumberinput++; } //if 0 Formattedbunk.length()){ IntOfNumberinput++; } //Do not display in pure sci notattion - limit use of E if (SciNote == false) { if (IntOfNumberinput < 0 ) { String LoopZero1=""; for (int a=0; a<(Math.abs(IntOfNumberinput)-1);a++){ LoopZero1=LoopZero1+"0"; } result="0"+"."+LoopZero1+Formatted; } else{ String[] FillDigits = new String[IntOfNumberinput+1]; for(int a=0;a<=IntOfNumberinput;a++){ FillDigits[a]="0"; } int a = 0; while((a < Formatted.length()) && a<=IntOfNumberinput){ FillDigits[a] = Formatted.substring(a,a+1); a++; } for(int i=0; i <= FillDigits.length-1 ; i++){ result = result + FillDigits[i]; } int length = result.length(); if(length maxWidth){ result=Formatted.substring(0,1)+"."+Formatted.substring(1,errorSigDigit)+"E"+IntOfNumberinput; } } //output in pure Scientific Notation if(SciNote == true){ result=Formatted.substring(0,1)+"."+Formatted.substring(1,errorSigDigit)+"E"+IntOfNumberinput; } //regain negative and return if(c>0) return result; else return "-"+result; } }