Numeric errors in the factor values from increase/decrease attention

[onecero]

There are some numeric errors in the factor values from increase/decrease attention in the following page:
https://github.com/AUTOMATIC1111/stable-diffusion-webui/wiki/Features#attentionemphasis

The so called multipliers are not constants. They are percentages.
"AUTOMATIC1111 have 1.1 as the multiplier": 1.1 = 1.10 = 110/100 = 110% (this is an increase of 10%)
"NAI have 1.05 as the multiplier": 1.05 = 105/100 = 105% (this is an increase of 5%)

This is to say:
AUTOMATIC1111: increase/decrease attention 10% by 10%
NAI: increase/decrease attention 5% by 5%

It says:

It should say:

(Attention/emphasis)
Cheat sheet:

• a (word) - increase attention to word by a factor of 1.1
  —(= increase attention by 10%)
  —(= resulting attention is 110%)

• a ((word)) - increase attention to word by a factor of 1.21 (= 1.1 * 1.1)
  —(= increase attention by 21%)
  —(= increase attention by 10% and increase again by 10%)
  —(= resulting attention is 121%)

• a [word] - decrease attention to word by a factor of 0.9
  —(= decrease attention by 10%)
  —(= resulting attention is 90%)
  —[word] = (word:0.9)

• ☻ a [[word]] - decrease attention to word by a factor of 0.81 (= 0.9 * 0.9)
  —(= decrease attention by 19%)
  —(= decrease attention by 10% and decrease again by 10%)
  —(= resulting attention is 81%)

• ☻ a [[[word]]] - decrease attention to word by a factor of 0.729 (= 0.9 * 0.9 * 0.9)
  —(= decrease attention by 27.1%)
  —(= decrease attention by 10%, decrease again by 10%, and decrease again by 10%)
  —(= resulting attention is 72.9%)

• a (word:1.5) - increase attention to word by a factor of 1.5
  —(= increase attention by 50%)
  —(= resulting attention is 150%)

• a (word:0.25) - decrease attention to word by a factor of 0.25 (= 25/100 = 25% = 1/4)
  —(= decrease attention by 75%)
  —(= decrease attention to one-fourth)
  —(= resulting attention is 25%)

• a (word) - use literal () characters in prompt

It says:

It should say:

NAI uses ... they have 1.05 as the multiplier and ... So the conversion applies:

• their {word} = our (word:1.05) (1.05 = 105/100 = 105%)
  —(= increase attention by 5%)
  —(= resulting attention is 105%)

• their {{word}} = our (word:1.1025) (1.1025 = 110.25/100 = 110.25%)
  —(= increase attention by 10.25%)
  —(= resulting attention is 110.25%)

• their [word] = our (word:0.95)
  —(= decrease attention by 5%)
  —(= resulting attention is 95%)

• their [[word]] = our (word:0.9025) (0.9025 = 0.95 * 0.95)
  —(= decrease attention by 9.75%)
  —(= decrease attention by 5% and decrease again by 5%)
  —(= resulting attention is 90.25%)

[onecero]

• their [[word]] = our (word:0.9025) (0.9025 = 0.95 * 0.95)
  —(= decrease attention by 9.75%) ≈ This is like a discount of 9.75% which is equivalent to a discount of 5% + 5%
  —(= decrease attention by 5% and decrease again by 5%) ≈ This is like a discount of 5% + 5% which is equivalent to a discount of 9.75%
  —(= resulting attention is 90.25%) ≈ This is like the price you pay after the discount of 9.75% or 5% + 5%

[w-e-w]

the documentations are correct

increase by a factor means that you multiply by the factor
decreased by a factor means that you divided by the factor

increase by 1.1 -> 1 * 1.1 = 1.1 = 110%
decreased by 1.1 -> 1 / 1.1 ≈ 0.909090 ≈ 90.9090% (which is not 90%)

yes the terminology are confusing (and it seems sometimes the terms are used differently)

an explanation I found
https://www.quora.com/What-does-it-mean-to-increase-something-by-a-factor-of-10-and-reduce-something-by-a-factor-of-10

so a (word:0.25)

• increase attention to word by a factor of 0.25
• decrease attention to word by a factor of 4 (= 1 / 0.25)

regardless of the terminology what is actually implemented in code is the important thing

stable-diffusion-webui/modules/prompt_parser.py

Lines 410 to 411 in de03882

	round_bracket_multiplier = 1.1
	square_bracket_multiplier = 1 / 1.1

as you can see
round bracket are multiply by 1.1
square brackets are divide by 1.1

[onecero]

Thank you so much for your reply. It helps a lot.

[onecero]

But edit this from your answer:

It says: "decreased by 1.1 -> 1 * 1.1 ≈ 0.909090 ≈ 90.9090% (which is not 90%)"

It should say: "decreased by 1.1 -> 1 / 1.1 ≈ 0.909090 ≈ 90.9090% (which is not 90%)" or
It should say: "decreased by 1.1 -> 1 * 1 / 1.1 ≈ 0.909090 ≈ 90.9090% (which is not 90%)"

[w-e-w]

typo fixed 1.1 -> 1 / 1.1