Generator

One block of 32 values at 6-bit significands, spread over 1.94 octaves

One function in the lowprec library, called 6 times across 1 essay. Below: what it draws at its defaults, what it draws at every value an essay asks for, the 5 claims it put to the test while drawing them, and where it stands against the rule this site is named for.

At its defaults it draws one block of 32 values at 6-bit significands, spread over 1.94 octaves. Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

block-step is one function in lib/figures/lowprec.js — low precision — eight bits, the format that breaks the rules, and one shared exponent. Everything below came out of it during this build, at arguments taken from the essays rather than invented for this page. A figure here is the figure a reader meets in an essay, and if the generator changes, this page changes with it.

At its defaults

Drawn even though every essay passes arguments — which on this site is every essay, at 100% of placements since the standard pass. A default nothing exercises is a trap for the next essay to call this with none, and this is the page where a default that has drifted from the figures around it becomes visible.

One block of 32 values at 6-bit significands, spread over 1.94 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0625one scale, thirty-two valuesoctaves inside the block1.9entries rounded to zero0worst error over its bound131 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

octaves: 2

The arguments are the ones One exponent for thirty-two numbers passes. A value nobody placed would be a picture no essay asked for and no claim was ever checked against.

One block of 32 values at 6-bit significands, spread over 1.94 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0625one scale, thirty-two valuesoctaves inside the block1.9entries rounded to zero0worst error over its bound131 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

octaves: 4

The arguments are the ones One exponent for thirty-two numbers passes. A value nobody placed would be a picture no essay asked for and no claim was ever checked against.

One block of 32 values at 6-bit significands, spread over 3.88 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0625one scale, thirty-two valuesoctaves inside the block3.9entries rounded to zero0worst error over its bound131 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

octaves: 6

The arguments are the ones One exponent for thirty-two numbers passes. A value nobody placed would be a picture no essay asked for and no claim was ever checked against.

One block of 32 values at 6-bit significands, spread over 5.82 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0625one scale, thirty-two valuesoctaves inside the block5.8entries rounded to zero4worst error over its bound0.9731 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

octaves: 16

The arguments are the ones One exponent for thirty-two numbers passes. A value nobody placed would be a picture no essay asked for and no claim was ever checked against.

One block of 32 values at 6-bit significands, spread over 15.5 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0313one scale, thirty-two valuesoctaves inside the block16entries rounded to zero17worst error over its bound0.9931 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

octaves: 12

The arguments are the ones One exponent for thirty-two numbers passes. A value nobody placed would be a picture no essay asked for and no claim was ever checked against.

One block of 32 values at 6-bit significands, spread over 11.6 octavesThirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.half a stepthe 32 values of one block, in the order they arrivestep 0.0313one scale, thirty-two valuesoctaves inside the block12entries rounded to zero9worst error over its bound0.9731 levels either side of zerothe largest entry chose the step

Thirty-two bars of differing heights with horizontal rules at the multiples of the shared step. Bars shorter than half a step are drawn in the warning colour.

What it checked while drawing

Every figure above checked its own claims on the way to being drawn, and a claim that failed would have stopped the picture rather than shipped a wrong one. Those checks used to leave no trace at all: a passing one returned true and the only evidence the figure had checked anything was that nothing crashed. The list below is what they actually said, collected by running this generator with an observer installed — not a description of what it is believed to check.

5 distinct claims across 6 sets of arguments, grouped below by shape — because most of them are one sentence with a different number in it, and how many separate times that sentence was put to the test is the informative part.

a block significand of four to eight bits

a spread inside the range drawn

and the largest entry fits the integer range without clamping

every entry's error is within half a shared step

the block chose a scale

Against the rule

The rule does not apply to it. It factorises nothing, so there is no residual it could be withholding. That is worth stating rather than leaving blank: a site that reported the rule as satisfied by every generator would be counting mostly generators the rule never reached.

Across the library: the rule bites on 217 of 397 generators — 199 print a residual and 18 are exempt with a published reason; 180 factorise nothing. Read from lib/residual-rule.js, which is the same body the gate enforces from, and the gate's last check fails the build if this page and it disagree about any generator.

Where it is called

Changing this generator changes every figure on this list. That is what makes the list worth publishing rather than keeping in a check script.

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