\errorcontextlines999\relax %\def\MFPextra{} %X\input minifp.sty\relax X %X\MFPloadextra X X\input mfpextra\relax X X\input mfpextra\relax X \def\filbreak{\vskip 12pt plus 100pt\penalty 0 \vskip 0pt plus -100pt\relax} \def\meaningless#1>{} \def\verbprint#1{% \begingroup \toks0=\expandafter{#1}\edef\x{\the\toks0}% \edef\x{\expandafter\meaningless\meaning\x}% \tt "\x"% \endgroup} {\catcode`\@=11 \gdef\y{\Y\\} \gdef\Y{\space\verbprint\MFP@Rstack}% adds its own space } \def\\{\hfill\break\ignorespaces} \def\U{\X} \baselineskip 12.1pt plus .2pt minus 2pt \filbreak \startMFPprogram {\bf Stack-only operations:}\\ Stack is empty, test the error message for popping an empty stack:\immediate\write16{^^J*** The following tests the error for popping an empty stack:^^J}\Rpop\X\y Push 0.000 001:\Rpush{0.000 001}\y Pop into {\tt\string\X}:\Rpop\X\\ \indent {\tt \string\X:}\verbprint\X\\ \indent {\tt stack:}\y Push 1.2 then -2.3:\Rpush{1.2}\Rpush{-2.3}\y Exchange them:\Rexch\y Duplicate the last:\Rdup\Y \filbreak {\bf Unary operations:}\\ First a new stack with only one value $21.34$:\Rpop\X\Rpop\X\Rpop\X\Rpush{21.34}\y Unless otherwise noted, the stack will always be restored to this value between operations. \medskip \noindent Change sign:\Rchs\y \Rpop\X\Rpush{21.34}% Absolute value:\Rabs\y \Rpop\X\Rpush{21.34}% Integer part:\Rint\y \Rpop\X\Rpush{21.34}% Fractional part:\Rfrac\y \Rpop\X\Rpush{21.34}% Double:\Rdbl\y \Rpop\X\Rpush{21.34}% Halve:\Rhalve\y \Rpop\X\Rpush{21.34}% Signum:\Rsgn\y \Rpop\X\Rpush{-21.34}% Signum of negative:\Rsgn\y \Rpop\X\Rpush{21.34}% Increment:\Rincr\y \Rpop\X\Rpush{21.34}% Decrement:\Rdecr\y \Rpop\X\Rpush{21.34}% Sine:\Rsin\y \Rpop\X\Rpush{21.34}% Cosine:\Rcos\y \Rpop\X\Rpush{21.34}% Radians to degrees:\Rdeg\y \Rpop\X\Rpush{-21.34}% Degrees to radians (negative):\Rrad\y \Rpop\X\Rpush{21.34}% Common logarithm:\Rlog\y \Rpop\X\Rpush{21.34}% Natural logarithm:\Rln\y Put $-1.34$ on the stack:\Rpop\X\Rpush{-1.34}\y Exponential:\Rexp\y Put $3.3$ on the stack:\Rpop\X\Rpush{3.3}\y Exponential:\Rexp\y Back to $21.34$:\Rpop\X\Rpush{21.34}\y Square:\Rsq\y \Rpop\X\Rpush{21.34}% Inversion:\Rinv\y \Rpop\X\Rpush{21.34}% Floor:\Rfloor\y \Rpop\X\Rpush{21.34}% Ceiling:\Rceil\y \Rpop\X\Rpush{21.34}% Square root:\Rsqrt\y \Rpop\X\Rpush{21.34}% Random number:\Rrand\y \Rpop\X\Rpush{21.34}% % restart with second generator \MFPsetseed0 \MFPrandgenB Another:\Rrand\y \Rpop\X\Rpush{21.34}% % restart with third generator \MFPsetseed0 \MFPrandgenC Another:\Rrand\y Now push $21.34$ and $12.34$ in that order:\Rpop\X\Rpush{21.34}\Rpush{12.34}\y Compare: \Rcmp 21.34 is\IFlt{}{ not} less than 12.34. 21.34 is\IFgt{}{ not} more than 12.34. 21.34 is\IFeq{}{ not} equal to 12.34.\\ Take difference and check:\Rsub\Rchk\y 21.34-12.34 is\IFneg {}{ not} negative. 21.34-12.34 is\IFpos {}{ not} positive. 21.34-12.34 is\IFzero{}{ not} zero. \Rpop\X \filbreak {\bf Binary operations:}\\ ({\it After each operation we restore the original stack.})\\ Start with empty stack and\\ push 1.2 then -2.3:\Rpush{1.2}\Rpush{-2.3}\y Angle:\Rangle\y\Rpop\X\Rpush{1.2}\Rpush{-2.3}% Add:\Radd\y\Rpop\X\Rpush{1.2}\Rpush{-2.3}% Subtract:\Rsub\y\Rpop\X\Rpush{1.2}\Rpush{-2.3}% Multiply:\Rmul\y\Rpop\X\Rpush{1.2}\Rpush{-2.3}% Divide:\Rdiv\y New stack:\Rpop\X\Rpush{2.3}\Rpush{0}\y \immediate\write16{^^J*** The following tests the error for dividing by 0:^^J} Divide by zero:\Rdiv\y Reset stack:\Rpop\X\Rpush{2.3}\Rpush{17}\y Raise to a power ($(2.3)^{17}$):\Rpow\y Reset stack:\Rpop\X\Rpush{2.3}\Rpush{-17}\y Raise to a power ($(2.3)^{-17}$):\Rpow\y Back to $1.2$ and $-2.3$:\Rpop\X\Rpush{1.2}\Rpush{-2.3}\y Find max:\Rmax\y \Rpop\X\Rpush{1.2}\Rpush{-2.3}% Find min:\Rmin\y Exporting stack (value above).\\ Exporting \verbprint\U: \verbprint\X \ExportStack \Export\X % change \X \def\X{0} \stopMFPprogram \medskip \noindent Exported value of \verbprint\U: \verbprint\X\\ Exported value of stack:\Y \def\w{\W\\} \def\W{ \verbprint\Z}% adds its own space \filbreak {\bf Operand forms}\\ {\it All results go to {\tt\string\Z}. All operate on {\tt\string\X} and/or {\tt\string\Y}}\\ Define ${\tt X}=1.2$ and ${\tt Y}=-2.3$:\def\X{1.2}\def\Y{-2.3}\\ \indent {\tt X}:=\verbprint\X\\ \indent {\tt Y}:=\verbprint\Y \filbreak {\bf Unary operations:}\\ Change sign of {\tt X}:\MFPchs\X\Z\w Change sign of {\tt Y}:\MFPchs\Y\Z\w Absolute value of {\tt X}:\MFPabs\X\Z\w Absolute value of {\tt Y}:\MFPabs\Y\Z\w Double value of {\tt X}:\MFPdbl\X\Z\w Double value of {\tt Y}:\MFPdbl\Y\Z\w Half of {\tt X}:\MFPhalve\X\Z\w Half of {\tt Y}:\MFPhalve\Y\Z\w Integer part of {\tt X}:\MFPint\X\Z\w Integer part of {\tt Y}:\MFPint\Y\Z\w Signum of {\tt X}:\MFPsgn\X\Z\w Signum of {\tt Y}:\MFPsgn\Y\Z\w Increment of {\tt X}:\MFPincr\X\Z\w Increment of {\tt Y}:\MFPincr\Y\Z\w Decrement of {\tt X}:\MFPdecr\X\Z\w Decrement of {\tt Y}:\MFPdecr\Y\Z\w Square of {\tt X}:\MFPsq\X\Z\w Square of {\tt Y}:\MFPsq\Y\Z\w Inverse of {\tt X}:\MFPinv\X\Z\w Inverse of {\tt Y}:\MFPinv\Y\Z\w Fractional part of {\tt X}:\MFPfrac\X\Z\w Fractional part of {\tt Y}:\MFPfrac\Y\Z\w Floor of {\tt X}:\MFPfloor\X\Z\w Floor of {\tt Y}:\MFPfloor\Y\Z\w Ceiling of {\tt X}:\MFPceil\X\Z\w Ceiling of {\tt Y}:\MFPceil\Y\Z\w Sine of {\tt 30}:\MFPsin{30}\Z\w Sine of {\tt 420}:\MFPsin{420}\Z\w Cosine of {\tt 60}:\MFPcos{60}\Z\w Cosine of {\tt 390}:\MFPcos{390}\Z\w Common logarithm of {\tt X}:\MFPlog\X\Z\w \immediate\write16{^^J*** The following tests the warning for log of a negative number:^^J}% Common logarithm of {\tt Y}:\MFPlog\Y\Z\w Natural logarithm of {\tt X}:\MFPln\X\Z\w \immediate\write16{^^J*** The following tests the warning for ln of a negative number:^^J}% Natural Logarithm of {\tt Y}:\MFPln\Y\Z\w Exponential of {\tt X}:\MFPexp\X\Z\w Exponential of {\tt Y}:\MFPexp\Y\Z\w Square root of {\tt X}:\MFPsqrt\X\Z\w Square root of {\tt Y}:\MFPsqrt\Y\Z\w \MFPrandgenA Random number less than {\tt X}:\MFPrand\X\Z\w Random number less than {\tt Y}:\MFPrand\Y\Z\w \MFPsetseed0 \MFPrandgenB Another less than {\tt X}:\MFPrand\X\Z\w Another less than {\tt Y}:\MFPrand\Y\Z\w \MFPsetseed0 \MFPrandgenC Another less than {\tt X}:\MFPrand\X\Z\w Another less than {\tt Y}:\MFPrand\Y\Z\w \filbreak {\bf Extra tests of sine}\\ Sine of 1:\MFPsin{1}\Z\w Cosine of 1:\MFPcos{1}\Z\w Sine of $-2$:\MFPsin{-2}\Z\w Cosine of 3:\MFPcos{3}\Z\w Sine of $-4$:\MFPsin{-4}\Z\w Cosine of 5:\MFPcos{5}\Z\w Sine of $-6$:\MFPsin{-6}\Z\w Cosine of 7:\MFPcos{7}\Z\w Sine of $-8$:\MFPsin{-8}\Z\w Cosine of 9:\MFPcos{9}\Z\w Sine of $-10$:\MFPsin{-10}\Z\w Cosine of 20:\MFPcos{20}\Z\w Sine of $-30$:\MFPsin{-30}\Z\w Cosine of 40:\MFPcos{40}\Z\w Sine of $-50$:\MFPsin{-50}\Z\w Cosine of 60:\MFPcos{60}\Z\w Sine of $-70$:\MFPsin{-70}\Z\w Cosine of 80:\MFPcos{80}\Z\w Sine of $-90$:\MFPsin{-90}\Z\w Sine of $135$:\MFPsin{135}\Z\w Sine of $180$:\MFPsin{180}\Z\w Sine of $225$:\MFPsin{225}\Z\w Sine of $270$:\MFPsin{270}\Z\w Sine of $315$:\MFPsin{315}\Z\W \medskip \noindent Angle of $(10,.1)$:\MFPangle{10}{.1}\Z\w Angle of $(-11.5,.1)$:\MFPangle{-11.5}{.1}\Z\w Angle of $(11.5,-.2)$:\MFPangle{11.5}{-.2}\Z\w Angle of $(-11.5,.3)$:\MFPangle{-11.5}{.3}\Z\w Angle of $(11.5,-.4)$:\MFPangle{11.5}{-.4}\Z\w Angle of $(-11.5,.5)$:\MFPangle{-11.5}{.5}\Z\w Angle of $(11.5,-.6)$:\MFPangle{11.5}{-.6}\Z\w Angle of $(-11.5,.7)$:\MFPangle{-11.5}{.7}\Z\w Angle of $(11.5,-.8)$:\MFPangle{11.5}{-.8}\Z\w Angle of $(-11.5,.9)$:\MFPangle{-11.5}{.9}\Z\w Angle of $(11.5,-1)$:\MFPangle{11.5}{-1}\Z\w Angle of $(-11.5,2)$:\MFPangle{-11.5}{2}\Z\w Angle of $(11.5,-3)$:\MFPangle{11.5}{-3}\Z\w Angle of $(-11.5,4)$:\MFPangle{-11.5}{4}\Z\w Angle of $(11.5,-5)$:\MFPangle{11.5}{-5}\Z\w Angle of $(-11.5,6)$:\MFPangle{-11.5}{6}\Z\w Angle of $(11.5,-7)$:\MFPangle{11.5}{-7}\Z\w Angle of $(-11.5,8)$:\MFPangle{-11.5}{8}\Z\w Angle of $(11.5,-9)$:\MFPangle{11.5}{-9}\Z\w Angle of $(-11.5,10)$:\MFPangle{-11.5}{10}\Z\w Angle of $(11.5,-20)$:\MFPangle{11.5}{-20}\Z\w Angle of $(-11.5,30)$:\MFPangle{-11.5}{30}\Z\w Angle of $(11.5,-40)$:\MFPangle{11.5}{-40}\Z\w Angle of $(-11.5,50)$:\MFPangle{-11.5}{50}\Z\w Angle of $(11.5,-60)$:\MFPangle{11.5}{-60}\Z\w Angle of $(-11.5,70)$:\MFPangle{-11.5}{70}\Z\w Angle of $(11.5,-80)$:\MFPangle{11.5}{-80}\Z\w Angle of $(-11.5,90)$:\MFPangle{-11.5}{90}\Z\w Angle of $(11.5,-100)$:\MFPangle{11.5}{-100}\Z\w Angle of $(0,10)$:\MFPangle{0}{10}\Z\w Angle of $(0,-10)$:\MFPangle{0}{-10}\Z\w \immediate\write16{^^J*** The following tests the warning for angle of (0,0):^^J} Angle of $(0,0)$:\MFPangle{0}{0}\Z\W \noindent Testing large arguments:\\ Angle of $(85 713 000, 99 999 999)$:\MFPangle{8571 3000}{9999 9999}\Z\W \filbreak {\bf Extra tests of log}\\ Log of $.1$:\MFPlog{.1}\Z\w Log of $.2$:\MFPlog{.2}\Z\w Log of $.3$:\MFPlog{.3}\Z\w Log of $.4$:\MFPlog{.4}\Z\w Log of $.5$:\MFPlog{.5}\Z\w Log of $.6$:\MFPlog{.6}\Z\w Log of $.7$:\MFPlog{.7}\Z\w Log of $.8$:\MFPlog{.8}\Z\w Log of $.9$:\MFPlog{.9}\Z\w Log of $1$:\MFPlog{1}\Z\w Log of $1.01$:\MFPlog{1.01}\Z\w Log of $1.02$:\MFPlog{1.02}\Z\w Log of $1.03$:\MFPlog{1.03}\Z\w Log of $1.04$:\MFPlog{1.04}\Z\w Log of $1.05$:\MFPlog{1.05}\Z\w Log of $1.06$:\MFPlog{1.06}\Z\w Log of $1.07$:\MFPlog{1.07}\Z\w Log of $1.08$:\MFPlog{1.08}\Z\w Log of $1.09$:\MFPlog{1.09}\Z\w \immediate\write16{^^J*** The following tests the error for log of 0:^^J} Log of $0$:\MFPlog{0}\Z\W \filbreak {\bf Extra tests of exp}\\ Exp of $.00009990$:\MFPexp{.00009990}\Z \w Exp of $.00009999$:\MFPexp{.00009999}\Z\w Exp of $.0001$:\MFPexp{.0001}\Z\w Exp of $.0002$:\MFPexp{.0002}\Z\w Exp of $.0003$:\MFPexp{.0003}\Z\w Exp of $.0004$:\MFPexp{.0004}\Z\w Exp of $.0005$:\MFPexp{.0005}\Z\w Exp of $.0006$:\MFPexp{.0006}\Z\w Exp of $.0007$:\MFPexp{.0007}\Z\w Exp of $.0008$:\MFPexp{.0008}\Z\w Exp of $.0009$:\MFPexp{.0009}\Z\w Exp of $.001$:\MFPexp{.001}\Z\w Exp of $.002$:\MFPexp{.002}\Z\w Exp of $.003$:\MFPexp{.003}\Z\w Exp of $.004$:\MFPexp{.004}\Z\w Exp of $.005$:\MFPexp{.005}\Z\w Exp of $.006$:\MFPexp{.006}\Z\w Exp of $.007$:\MFPexp{.007}\Z\w Exp of $.008$:\MFPexp{.008}\Z\w Exp of $.009$:\MFPexp{.009}\Z\w Exp of $.01$:\MFPexp{.01}\Z\w Exp of $.02$:\MFPexp{.02}\Z\w Exp of $.03$:\MFPexp{.03}\Z\w Exp of $.04$:\MFPexp{.04}\Z\w Exp of $.05$:\MFPexp{.05}\Z\w Exp of $.06$:\MFPexp{.06}\Z\w Exp of $.07$:\MFPexp{.07}\Z\w Exp of $.08$:\MFPexp{.08}\Z\w Exp of $.09$:\MFPexp{.09}\Z\w Exp of $.1$:\MFPexp{.1}\Z\w Exp of $.2$:\MFPexp{.2}\Z\w Exp of $.3$:\MFPexp{.3}\Z\w Exp of $.4$:\MFPexp{.4}\Z\w Exp of $.5$:\MFPexp{.5}\Z\w Exp of $.6$:\MFPexp{.6}\Z\w Exp of $.7$:\MFPexp{.7}\Z\w Exp of $.8$:\MFPexp{.8}\Z\w Exp of $.9$:\MFPexp{.9}\Z\w Exp of $1$:\MFPexp{1}\Z\w Exp of $2$:\MFPexp{2}\Z\w Exp of $3$:\MFPexp{3}\Z\w Exp of $4$:\MFPexp{4}\Z\w Exp of $5$:\MFPexp{5}\Z\w Exp of $6$:\MFPexp{6}\Z\w Exp of $7$:\MFPexp{7}\Z\w Exp of $8$:\MFPexp{8}\Z\w Exp of $9$:\MFPexp{9}\Z\w Exp of $10$:\MFPexp{10}\Z\w Exp of $-8.3254$:\MFPexp{-8.3254}\Z\w Exp of $18.42068073$:\MFPexp{18.42068073}\Z\w Exp of $18.42068074$:\MFPexp{18.42068074}\Z\w \immediate\write16{^^J*** The following tests the error for a power too large:^^J} Exp of $18.42068075$:\MFPexp{18.42068075}\Z\W \filbreak {\bf Extra tests of pow}\\ $-10$ power of $3$:\MFPpow{3}{-10}\Z\w $-9$ power of $3$:\MFPpow{3}{-9}\Z\w $-8$ power of $3$:\MFPpow{3}{-8}\Z\w $-7$ power of $3$:\MFPpow{3}{-7}\Z\w $-6$ power of $3$:\MFPpow{3}{-6}\Z\w $-5$ power of $3$:\MFPpow{3}{-5}\Z\w $-4$ power of $3$:\MFPpow{3}{-4}\Z\w $-3$ power of $3$:\MFPpow{3}{-3}\Z\w $-2$ power of $3$:\MFPpow{3}{-2}\Z\w $-1$ power of $3$:\MFPpow{3}{-1}\Z\w $0$ power of $3$:\MFPpow{3}{0}\Z\w $1$ power of $3$:\MFPpow{3}{1}\Z\w $2$ power of $3$:\MFPpow{3}{2}\Z\w $3$ power of $3$:\MFPpow{3}{3}\Z\w $4$ power of $3$:\MFPpow{3}{4}\Z\w $5$ power of $3$:\MFPpow{3}{5}\Z\w $6$ power of $3$:\MFPpow{3}{6}\Z\w $7$ power of $3$:\MFPpow{3}{7}\Z\w $8$ power of $3$:\MFPpow{3}{8}\Z\w $9$ power of $3$:\MFPpow{3}{9}\Z\w $10$ power of $3$:\MFPpow{3}{10}\Z\w \immediate\write16{^^J*** The following tests the error for a power too large:^^J} $10$ power of $9$:\MFPpow{9}{10}\Z\w \immediate\write16{^^J*** The following also tests the error for a power too large:^^J} $10$ power of $-9$:\MFPpow{-9}{10}\Z\w \immediate\write16{^^J*** The following also tests the error for a power too large:^^J} $11$ power of $-9$:\MFPpow{-9}{11}\Z\w \immediate\write16{^^J*** The following tests the error for a negative power of 0:^^J} $-10$ power of $0$:\MFPpow{0}{-10}\Z\w \immediate\write16{^^J*** The following also tests the error for a power too large:^^J} $-10$ power of $0.1$:\MFPpow{0.1}{-10}\Z\W \filbreak {\bf Extra tests of sqrt}\\ \immediate\write16{^^J*** The following tests the warning for a square root of a negative:^^J} Square root of $-1$:\MFPsqrt{-1}\Z\w Square root of $0$:\MFPsqrt{0}\Z\w Square root of $.0001$:\MFPsqrt{.0001}\Z\w Square root of $.002$:\MFPsqrt{.002}\Z\w Square root of $.03$:\MFPsqrt{.03}\Z\w Square root of $.4$:\MFPsqrt{.4}\Z\w Square root of $.5$:\MFPsqrt{.5}\Z\w Square root of $.6$:\MFPsqrt{.6}\Z\w Square root of $.7$:\MFPsqrt{.7}\Z\w Square root of $.8$:\MFPsqrt{.8}\Z\w Square root of $.9$:\MFPsqrt{.9}\Z\w Square root of $1$:\MFPsqrt{1}\Z\w Square root of $2$:\MFPsqrt{2}\Z\w Square root of $3$:\MFPsqrt{3}\Z\w Square root of $4$:\MFPsqrt{4}\Z\w Square root of $5$:\MFPsqrt{5}\Z\w Square root of $6$:\MFPsqrt{6}\Z\w Square root of $7$:\MFPsqrt{7}\Z\w Square root of $8$:\MFPsqrt{8}\Z\w Square root of $9$:\MFPsqrt{9}\Z\w Square root of $10$:\MFPsqrt{10}\Z\w Square root of $99$:\MFPsqrt{99}\Z\w Square root of $500$:\MFPsqrt{500}\Z\w Square root of $1000$:\MFPsqrt{1000}\Z\w Square root of $5000$:\MFPsqrt{5000}\Z\w Square root of $9999$:\MFPsqrt{9999}\Z\w Square root of $100000$:\MFPsqrt{100000}\Z\w Square root of $100000$:\MFPsqrt{100000}\Z\w Square root of $1500000$:\MFPsqrt{1500000}\Z\w Square root of $1524157.65279684$ (should be exact):\MFPsqrt{1524157.65279684}\Z\w Square root of $15000000$:\MFPsqrt{15000000}\Z\w Square root of $99999998.00000001$ (should be exact):\MFPsqrt{99999998.00000001}\Z\w Square root of $9999.99$:\MFPsqrt{9999.99}\Z\w Square root of $9999.999 999$:\MFPsqrt{9999.999999}\Z\W \filbreak {\bf Binary operations:}\\ Add $X+Y$:\MFPadd\X\Y\Z\w Add $\infty+\infty$:\MFPadd{99999999.99999999}{99999999.99999999}\Z\w Subtract $X-Y$:\MFPsub\X\Y\Z\w Subtract $Y-X$:\MFPsub\Y\X\Z\w Subtract $X-X$:\MFPsub\X\X\Z\w Subtract $Y-Y$:\MFPsub\Y\Y\Z\w Multiply:\MFPmul\X\Y\Z\w Multiply $10^{4}\times10^4$ (loses the overflow digit):\MFPmul{10000}{10000}\Z\w Divide $X/Y$:\MFPdiv\X\Y\Z\w Divide $Y/X$:\MFPdiv\Y\X\Z\w Max:\MFPmax\X\Y\Z\w Min:\MFPmin\X\Y\Z\w Angle $(X,Y)$:\MFPangle\X\Y\Z\w Angle $(Y,X)$:\MFPangle\Y\X\Z\w Power $X^5$:\MFPpow\X{5}\Z\w Power $X^{-5}$:\MFPpow\X{-5}\Z\w Power $Y^{5}$:\MFPpow\Y{5}\Z\w Power $Y^{-5}$:\MFPpow\Y{-5}\Z\w Compare: \MFPcmp\X\Y \X\ is\IFlt{}{ not} less than \Y. \X\ is\IFgt{}{ not} more than \Y. \X\ is\IFeq{}{ not} equal to \Y.\\ Take difference and check:\MFPsub\X\Y\Z\w $\X-\Y$ is\IFneg{}{ not} negative. $\X-\Y$ is\IFpos{}{ not} positive. $\X-\Y$ is\IFzero{}{ not} zero. \filbreak {\bf Print-related formating} \def\T{333.00000000} \def\S{1357.12345678} \noindent This is original: $T ={}${\tt"\T"}\\ Truncate to 4 digits right of decimal:\MFPtruncate{4}\T\Z\w Truncate to the decimal:\MFPtruncate{0}\T\Z\w Truncate to 2 digits left of decimal:\MFPtruncate{-2}\T\Z\w Strip trailing zeros:\MFPstrip\T\Z\w Strip trailing zeros (star form):\MFPstrip*\T\Z\W \noindent Original: $S = {}${\tt"\S"}\\ Round to 3 decimals:\MFPround{3}\S\Z\w Round to 5 decimals:\MFPround{5}\S\Z\w Round to 0 decimals:\MFPround{0}\S\Z\w Round to 100s:\MFPround{-2}\S\Z\W \def\T{-333.00000000} \def\S{-1357.12345678} \filbreak \noindent All that again with negative numbers. \medskip \noindent This is original: $T ={}${\tt"\T"}\\ Truncate to 4 digits right of decimal:\MFPtruncate{4}\T\Z\w Truncate to the decimal:\MFPtruncate{0}\T\Z\w Truncate to 2 digits left of decimal:\MFPtruncate{-2}\T\Z\w Strip trailing zeros:\MFPstrip\T\Z\w Strip trailing zeros (star form):\MFPstrip*\T\Z\W \noindent Original: $S = {}${\tt"\S"}\\ Round to 3 decimals:\MFPround{3}\S\Z\w Round to 5 decimals:\MFPround{5}\S\Z\w Round to 0 decimals:\MFPround{0}\S\Z\w Round to 100s:\MFPround{-2}\S\Z\W \end{document}