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( function(window) { "use strict"; var max_number_divisions = { 1: 5, 1.2: 4, 1.5: 5, 1.6: 4, 2: 5, 2.5: 5, 3: 3, 4: 4, 5: 5, 6: 3, 8: 4, 9: 3 }; // Lex sort works out here the same as a numeric sort. var max_numbers = Object.keys(max_number_divisions).sort().map(Number); // We can’t rely on D3.js to give us “pretty” tick numbers because // LOCALE.format_bytes() uses powers of 1,024 rather than powers of 10 // to format the numbers. (Heh, that is, as long as the number it’s // formatting isn’t itself under 1,024!) // // For example, if we depended on D3.js, we’d get stuff like: // // [ "0 bytes", "97,66 KB", "195,31 KB", "292,97 KB", "390,63 KB" ] // // ...rather than the “friendlier”: // // [ "0 bytes", "100 KB", "200 KB", "300 KB", "400 KB" ] // // This function, then, “second guesses” format_bytes() in order // to arrive at numbers that will look logical visually on the graph // when run through format_bytes(). // function get_tick_values_for_format_bytes(highest_datum) { var ticks = [0]; // No such thing as fractional bytes, so just return if (highest_datum < 3) { ticks.push(1); if (highest_datum > 1) { ticks.push(2); } } else { var max_tick; var binary_power = 0; // gets incremented right away // base_max_number refers to the “reduced” numbers in the // max_number_divisions hash above. var base_max_number, binary_multiple, decimal_multiple; // At this point we know that at least the top tick will // need to be a multiple of 1,024. The trick is that, while // looping through powers of 1,024, we still need to check powers // of 10. TICK_LOOP: while (!max_tick) { // e.g., whatever byte total counts as 1 of the unit that // corresponds with the power of 1,024 that we’re on. binary_multiple = Math.pow( 1024, binary_power ); // NOTE: There is only one special case that allows dec === 3. // See below. for (var dec = 0; dec <= 3; dec++ ) { decimal_multiple = Math.pow( 10, dec ); var multiple = binary_multiple * decimal_multiple; for (var m = 0; m < max_numbers.length; m++) { base_max_number = max_numbers[m]; var maybe_max_tick = multiple * base_max_number; // The only case where we actually allow 3 as a decimal // power is the number 1,000. if ((dec === 3) && (maybe_max_tick !== 1000)) { continue; } if ( maybe_max_tick >= highest_datum) { max_tick = maybe_max_tick; break TICK_LOOP; } } } binary_power++; if (binary_power > 10) { throw "Excessive power of 1,024: " + binary_power; } } var tick_count = max_number_divisions[base_max_number]; var base_tick_interval = base_max_number / tick_count; // i.e., the number that will display var format_bytes_number = max_tick / binary_multiple; for (var t = 1; t < tick_count; t++) { var new_tick; // Normally we can just add new ticks in simple arithmetic // intervals, and everything is fine. If we just stopped there, // though, we’d get stuff like: // // [ "0 bytes", "307.2 KB", "614.4 KB", "921.6 KB", "1.2 MB" ] // // To guard against this, for numbers over 1,000 replace // anything that uses a lower unit than the max tick with the // equivalent modifier from the previous “level” of multiplier: // reduce the power of 1,024 by 1, then take that times 10^2 // times whichever level of multiplier. The end goal is that // we want, e.g., instead of the above, something like: // // [ "0 bytes", "300 KB", "600 KB", "900 KB", "1.2 MB" ] // if ((format_bytes_number < 10) && (max_tick > 1000) && ((t * base_tick_interval) < 1)) { new_tick = t * base_tick_interval * 10 * 100 * Math.pow( 1024, binary_power - 1 ); } else { // The below would work but for JavaScript’s lossy algebra: // new_tick = t * (base_max_number / tick_count) * decimal_multiple * binary_multiple; // This gives the same result algebraically, and JavaScript won’t turn it // into e.g., 89.999999999999. new_tick = t * max_tick / tick_count; } ticks.push(new_tick); } ticks.push(max_tick); } return ticks; } window.Chart_Utilities = { get_tick_values_for_format_bytes: get_tick_values_for_format_bytes }; }(window) );

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