Mixed-Unit Division Fun

input.scss

@use "sass:meta";
@use "sass:list";
@use "sass:string";
@use "sass:map";
@use "sass:color";
@use "sass:math";
@use "sass:selector";

@function div-shim($n, $d) { @return $n / $d; }

$_div-function: if(
    map.has-key(meta.module-functions("math"), "div"), 
    meta.get-function("div", false, "math"), 
    meta.get-function("div-shim")
);

@function divide($dividend, $divisor) {
    @return meta.call($_div-function, $dividend, $divisor);
}

@mixin quotient($n, $d, $prefix: null, $suffix: null, $comment: null, $doc-block: null) {
    $result: divide($n, $d);
    
    @if $doc-block {
        /**
         * #{$doc-block}
         */
    } @else if $comment {
        /* #{$comment} */
    }
    
    @if $prefix {
        $paren-lo: string.index($prefix, "(");
        $paren-hi: string.index($prefix, ")");
        @if $paren-lo and $paren-hi {
            $split-index: string.index($prefix, "|");
            $verb: string.slice($prefix, $paren-lo + 1, $paren-hi - 1);
            @if $result == 1 {
                $verb: string.slice($prefix, $paren-lo + 1, $split-index - 1);
            } @else {
                $verb: string.slice($prefix, $split-index + 1, $paren-hi - 1);
            }
            $head: string.slice($prefix, 1, $paren-lo - 1);
            $tail: string.slice($prefix, $paren-hi + 1);
            $prefix: $head + $verb + $tail;
        }
    } @else {
        $prefix: "Result";
    }
    
    @if $suffix {
        $paren-lo: string.index($suffix, "(");
        $paren-hi: string.index($suffix, ")");
        @if $paren-lo and $paren-hi {
            $suffix-suffix: "";
            @if $result != 1 {
                $suffix-suffix: string.slice($suffix, $paren-lo + 1, $paren-hi - 1);
            }
            $head: string.slice($suffix, 1, $paren-lo - 1);
            $tail: string.slice($suffix, $paren-hi + 1);
            $suffix: $head + $suffix-suffix + $tail;
        }
    }
    
    #{$prefix}: #{divide($n, $d)} #{$suffix}
}

.test {
    
    /** 
     * Length - Px Per Unit
     */
    @include quotient(1pt, 1px, $prefix: px/pt, $comment: "Pixels per point (96 dpi)");
    @include quotient(1pc, 1px, $prefix: px/pc, $comment: "Pixels per pica");
    @include quotient(1in, 1px, $prefix: px/in, $comment: "Pixels per inch");
    @include quotient(1cm, 1px, $prefix: px/cm, $comment: "Pixels per centimeter");
    @include quotient(1mm, 1px, $prefix: px/mm, $comment: "Pixels per millimeter");
    @include quotient(1q,  1px, $prefix: px/q,  $comment: "Pixels per quarter-millimeter");
    
    /** 
     * Length - Units Per Px 
     */
    @include quotient(1px, 1pt, "Points", $suffix: "(96 dpi)");
    @include quotient(1px, 1pc, "Picas");
    @include quotient(1px, 1in, "Inches");
    @include quotient(1px, 1cm, "Centimeters");
    @include quotient(1px, 1mm, "Millimeters");
    @include quotient(1px, 1q, "Quarter-Millimeters");
    
    /** 
     * Angle - Deg Per Unit
     */
    @include quotient(1deg, 1deg, $prefix: "deg", $doc-block: "Degrees per degree");
    @include quotient(1rad, 1deg, $prefix: "rad", $doc-block: "Degrees per radian");
    @include quotient(1grad, 1deg, $prefix: "grad", $doc-block: "Degrees per gradian");
    @include quotient(1turn, 1deg, $prefix: "turn", $doc-block: "Degrees per turn");
    
    /** 
     * Angle - Units Per Deg
     */
    @include quotient(1deg, 1deg, $prefix: "There (is|are)", $suffix: "degree(s) per degree.");
    @include quotient(1deg, 1rad, $suffix: "rad/deg");
    @include quotient(1deg, 1grad, $suffix: "grad/deg");
    @include quotient(1deg, 1turn, $suffix: "turn/deg");
    
}

output.css

.test {
  /** 
   * Length - Px Per Unit
   */
  /* Pixels per point (96 dpi) */
  px/pt: 1.3333333333;
  /* Pixels per pica */
  px/pc: 16;
  /* Pixels per inch */
  px/in: 96;
  /* Pixels per centimeter */
  px/cm: 37.7952755906;
  /* Pixels per millimeter */
  px/mm: 3.7795275591;
  /* Pixels per quarter-millimeter */
  px/q: 0.9448818898;
  /** 
   * Length - Units Per Px 
   */
  Points: 0.75 96 dpi;
  Picas: 0.0625;
  Inches: 0.0104166667;
  Centimeters: 0.0264583333;
  Millimeters: 0.2645833333;
  Quarter-Millimeters: 1.0583333333;
  /** 
   * Angle - Deg Per Unit
   */
  /**
   * Degrees per degree
   */
  deg: 1;
  /**
   * Degrees per radian
   */
  rad: 57.2957795131;
  /**
   * Degrees per gradian
   */
  grad: 0.9;
  /**
   * Degrees per turn
   */
  turn: 360;
  /** 
   * Angle - Units Per Deg
   */
  There is: 1 degree per degree.;
  Result: 0.0174532925 rad/deg;
  Result: 1.1111111111 grad/deg;
  Result: 0.0027777778 turn/deg;
}

settings.json

{
  "sass": {
    "compiler": "dart-sass/1.32.12",
    "extensions": {},
    "syntax": "SCSS",
    "outputStyle": "expanded"
  },
  "autoprefixer": false
}