SI Units
This one-file module enforces Standard International unit types. This means that it will not allow a developer to add a time with a length or subtract a volume from a weight. It can also convert units from one prefix to another, i.e. km to cm.
Download version 0.1 here
The module has a structure, si-unit, that can only be accessed from within the module. It is used to store the information for the other derivative SI units (length, weight, temperature, etc.) The si-unit structure has quantity, prefix and suffix fields.
Type annotations are indicated by a double colon ("::") after the variable name, i.e. variable::variable-type
Unit Prefixes
Functions
si-unit Structure
si-unit-quantity x::si-unit
Returns the quantity field value of the si-unit x.
si-unit-prefix x::si-unit
Returns the prefix field value of the si-unit x.
si-unit-suffix x::si-unit
Returns the suffix field value of the si-unit x.
Makers/Constructors
make-si-length q::real unit::symbol
Creates an si-unit structure that has a quantity of q, a prefix of unit and a suffix of "m". When unit is 'nil
make-si-mass q::real unit::symbol
make-si-time q::real unit::symbol
make-si-current q::real unit::symbol
make-si-temp q::real unit::symbol
make-si-amount q::real unit::symbol
make-si-lumint q::real unit::symbol
Math
The arguments for all math functions can be numbers or si-units or a mix of the two.
.+ x y
.- x y
.* x y
./ x y
Conversion
convert-to x::si-unit new-unit::symbol
convert-to! x::si-unit new-unit
Destructive version of convert-to
.
si->string x
Examples
Example 1
Marvin the Martian rover is measuring the distance from one rock to another. He can measure accurately down to 1 mm and up to 1 m.
Without using the SI module:
(define (distance x1 y1 x2 y2) ; square root of ((x2 - x1) ^ 2 + (y2 - y1) ^ 2)
(sqrt (+ (expt (- x2 x1) 2)
(expt (- y2 y1) 2))))
(distance 2.0 1.0 0.43 2.4)
The process of conversion must be written in by hand otherwise the results are inaccurate. Also, how do we know that we're getting 2.4 m and not 2.4 mm?
Using the SI module:
(define (distance x1 y1 x2 y2) ; square root of ((x2 - x1) ^ 2 + (y2 - y1) ^ 2)
(sqrt (.+ (expt (.- x2 x1) 2)
(expt (.- y2 y1) 2))))
(distance (make-si-length 2.0 'nil) ; 2.0 m
(make-si-length 1.0 'centi) ; 1.0 cm = 0.01 m
(make-si-length 0.43 'nil) ; 0.43 m
(make-si-length 2.4 'milli) ; 2.4 mm = 0.0024 m
The difference is that the units are specified and that a different function is used for mathematical operations. Instead of +
, we use .+
Example 2
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