A-M baby
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Ingy döt Net
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7
Task/Literals-Floating-point/0DESCRIPTION
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7
Task/Literals-Floating-point/0DESCRIPTION
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Programming languages have different ways of expressing floating-point literals. Show how floating-point literals can be expressed in your language: decimal or other bases, exponential notation, and any other special features.
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You may want to include a regular expression or BNF/ABNF/EBNF defining allowable formats for your language.
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See also [[Literals/Integer]].
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Cf. [[Extreme floating point values]]
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2
Task/Literals-Floating-point/1META.yaml
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2
Task/Literals-Floating-point/1META.yaml
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---
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note: Basic language learning
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2
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2.
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.3
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45e6
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45e+6
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78e-9
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1.2E34
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/^([0-9]+(\.[0-9]*)?|\.[0-9]+)([Ee][-+]?[0-9]+)?$/ {
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print $0 " is a literal number."
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next
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}
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{
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print $0 " is not valid."
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}
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3.141_592_6
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1.0E-12
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0.13
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REM Floating-point literal syntax:
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REM [-]{digit}[.]{digit}[E[-]{digit}]
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REM Examples:
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PRINT -123.456E-1
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PRINT 1000.0
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PRINT 1E-5
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REM Valid but non-standard examples:
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PRINT 67.
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PRINT 8.9E
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PRINT .33E-
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PRINT -.
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println 1.00f // float (IEEE-32)
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println 1.00d // double (IEEE-64)
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println 1.00 // BigDecimal (scaled BigInteger)
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println 1.00g // BigDecimal
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println 1.00e0 // BigDecimal
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assert 1.00f instanceof Float
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assert 1.00d instanceof Double
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assert 1.00 instanceof BigDecimal
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assert 1.00g instanceof BigDecimal
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assert 1.00e0 instanceof BigDecimal
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main = print [0.1,23.3,35e-1,56E+2,14.67e1]
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procedure main()
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every write( ![ 1., .1, 0.1, 2e10, 2E10, 3e-1, .4e2, 1.41e2, 8.e+3, 3.141e43 ])
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end
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23
Task/Literals-Floating-point/J/literals-floating-point-1.j
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Task/Literals-Floating-point/J/literals-floating-point-1.j
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numeric-constant ::= number-constant | number-constant whitespace numeric-constant
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whitespace ::= whitespacecharacter | whitespacecharacter whitespace
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whitespacecharacter ::= ' ' | TAB
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TAB is ascii 9
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number-constant ::= arbitrary-constant | arbitrary-constant base-token base-constant
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base-token ::= 'b' | 'b-'
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base-constant ::= base-digits | base-digits '.' base-digits
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base-digits ::= base-digit | base-digit base-digits
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base-digit ::= digit | alpha1 | alpha2
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alpha1 ::= 'a'|'b'|'c'|'d'|'e'|'f'|'g'|'h'|'i'|'j'|'k'|'l'|'m'
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alpha2 ::= 'n'|'o'|'p'|'q'|'r'|'s'|'t'|'u'|'v'|'w'|'x'|'y'|'z'
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arbitrary-constant ::= complex-constant | pi-constant | euler-constant | extended-constant
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pi-constant ::= complex-constant 'p' complex-constant
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euler-constant ::= complex-constant 'x' complex-constant
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extended-constant ::= signed-digits 'x' | signed-digits 'r' signed-digits
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complex-constant ::= exponential-constant | exponential-constant complex-token exponential-constant
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complex-token ::= 'ad' | 'ar' | 'j'
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exponential-constant ::= signed-constant | signed-constant 'e' signed-constant
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signed-constant ::= decimal-constant | '_' decimal-constant
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decimal-constant ::= digits | digits '.' digits
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signed-digits ::= digits | '_' digits
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digits ::= digit | digit digits
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digit ::= '0'|'1'|'2'|'3'|'4'|'5'|'6'|'7'|'8'|'9'
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0 1 _2 3.4 3e4 3p4 3x4
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0 1 _2 3.4 30000 292.227 163.794
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16bcafe.babe _16b_cafe.babe _10b11
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51966.7 46818.7 _9
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1. //double equal to 1.0
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1.0 //double
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2432311.7567374 //double
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1.234E-10 //double
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1.234e-10 //double
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758832d //double
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728832f //float
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1.0f //float
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758832D //double
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728832F //float
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1.0F //float
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1 / 2. //double
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1 / 2 //int equal to 0
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3.14159
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314.159E-2
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> 123.456; # decimal notation
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123.456
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> 1.23456e2; # scientific notation
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123.456
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> Float( 23, -2 ); # float constructor notation, by mantissa and exponent
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0.23
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> Float( .123456, 3 ); # again
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123.456
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> Float( 1.23456, 2 ); # again
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123.456
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> Float( 12.3456, 1 ); # again
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123.456
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> HFloat( 1.23456, 2 ); # hardware float constructor
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123.456000000000
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> HFloat( 123.456 ); # again
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123.456000000000
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> 2.3^30; # large floats are printed using scientific notation
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11
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0.7109434879 10
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> 2/3; # NOT a float!
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2/3
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> evalf( 2/3 ); # but you can get one
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0.6666666667
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> 0.0; # zero
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0.
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> -0.0; # negative zero
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-0.
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> Float(infinity); # positive infinity
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Float(infinity)
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> Float(-infinity); # minus infinity
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Float(-infinity)
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> Float(undefined); # "NaN", not-a-number
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Float(undefined)
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> type( 2.3, 'hfloat' );
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false
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> type( HFloat( 2.3 ), 'hfloat' );
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true
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These numbers are given in the default output format. Large numbers are given in scientific notation.
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{6.7^-4,6.7^6,6.7^8}
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{0.00049625,90458.4,4.06068*10^6}
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This gives all numbers in scientific notation.
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ScientificForm[%]
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{4.9625*10^(-4),9.04584*10^(4),4.06068*10^(6)}
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This gives the numbers in engineering notation, with exponents arranged to be multiples of three.
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EngineeringForm[%]
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{496.25*10^(-6),90.4584*10^(3),4.06068*10^(6)}
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In accounting form, negative numbers are given in parentheses, and scientific notation is never used.
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AccountingForm[{5.6,-6.7,10.^7}]
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{5.6,(6.7),10000000.}
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/* Maxima has machine floating point (usually double precision IEEE 754), and
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arbitrary length "big floats" */
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/* Here are ordinary floats */
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3.14159
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2.718e0
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1.2345d10
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1.2345e10
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1.2345f10
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/* And big floats (always with a "b" for the exponent) */
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3.14159b0
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2.718b0
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1.2345b10
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/* Before computing with big float, one must set precision to some value (default is 16 decimal digits) */
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fpprec: 40$
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bfloat(%pi);
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3.141592653589793238462643383279502884197b0
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.12
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0.1234
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1.2e3
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7E-10
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# Standard notations:
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.5;
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0.5;
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1.23345e10;
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1.23445e-10;
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# The numbers can be grouped:
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100_000_000; # equals to 100000000
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FLOAT
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: '.' DIGITS (Exponent)?
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| DIGITS '.' Exponent
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| DIGITS ('.' (DIGITS (Exponent)?)? | Exponent)
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;
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DIGITS : ( '0' .. '9' )+ ;
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Exponent
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: ('e' | 'E') ( '+' | '-' )? DIGITS
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;
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2.3 # 2.2999999999999998
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.3 # 0.29999999999999999
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.3e4 # 3000.0
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.3e+34 # 2.9999999999999998e+33
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.3e-34 # 2.9999999999999999e-35
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2.e34 # 1.9999999999999999e+34
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something = 127
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something = '127' /*exactly the same as the above. */
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something = 1.27e2
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something = 1.27E2
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something = 1.27E+2
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something = ' + 0001.27e+00000000000000002 '
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something = -.00478
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say something
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say format(something,,,,0)
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.2 ; 0.2
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2. ; 2.0
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2e3 ; 2000
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2.+3.i ; complex floating-point number
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; in Scheme, floating-point numbers are inexact numbers
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(inexact? 2.)
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; #t
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(inexact? 2)
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; #f
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2.0
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45e6
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45e+6
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78e-9
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1.2E34
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2r1010.0 -> 10.0
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2r0.01 -> 0.25
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2r1010e5 -> 320.0
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2r1010e2r0101 -> 320.0
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