This was broken by the previous fix, because I had cast to a numeric value
before invoking `set_defaults`, which needs the empty string retained so
that it knows whether a default ought to be applied.
This also ensures that `set_values` will always return a numeric value when
that default is applied.
DEV-10484
This has been a problem for...ever, but the old classification system (and
calculations) had `||0` for ever variable reference, whereas the new one
does not; NaNs result in undefined behavior in the new classification
system, since those values are not expected to exist.
This ought to have automated tests, but it will be rewritten in TAMER.
DEV-10484
This was originally my plan with the new classification system, but it was
undone because I had hoped to punt on the somewhat controversial
issue. Unfortunately, I see no other way. Here I attempt to summarize the
reasons why, many of which are specific to the design decisions of TAME.
Keep in mind that TAME is a domain-specific language (DSL) for writing
insurance rating systems. It should act intuitively for our use case, while
still being mathematically sound.
If you still aren't convinced, please see the link at the bottom.
Target Language Semantics (ECMAScript)
--------------------------------------
First: let's establish what happens today. TAME compiles into ECMAScript,
which uses IEEE 754-2008 floating-point arithmetic. Here we have:
x/0 = Infinity, x > 0;
x/0 = -Infinity, x < 0;
0/0 = NaN, x = 0.
This is immediately problematic: TAME's calculations must produce concrete
real numbers, always. NaN is not valid in its domain, and Infinity is of no
practical use in our computational model (TAME is build for insurance rating
systems, and one will never have infinite premium). Put plainly: the
behavior is undefined in TAME when any of these values are yielded by an
expression.
Furthermore, we have _three different possible situations_ depending on
whether the numerator is positive, negative, or zero. This makes it more
difficult to reason about the behavior of the system, for values we do not
want in the first place.
We then have these issues in ECMAScript:
Infinity * 0 = NaN.
-Infinity * 0 = NaN.
NaN * 0 = NaN.
These are of particular concern because of how predicates work in TAME,
which will be discussed further below. But it is also problematic because
of how it propagates: once you have NaN, you'll always have NaN, unless you
break out of the situation with some control structure that avoids using it
in an expression at all.
Let's now consider predicates:
NaN > 0 = false.
NaN < 0 = false.
NaN === 0 = false.
NaN === NaN = false.
These will be discussed in terms of classification predicates (matches).
We also have issues of serialization:
JSON.stringify(Infinity) = "null".
JSON.stringify(NaN) = "null".
These means that these values are difficult to transfer between systems,
even if we wanted them.
TAME's Predicates
-----------------
TAME has a classification system based on first-order logic, where ⊥ is
represented by 0 and ⊤ is represented by 1. These classifications are used
as predicates to calculations via the @class attribute of a rate block. For
example:
<rate-each class="property" generates="propValue" index="k">
<c:quotient>
<c:value-of name="buildingTiv" index="k" />
<c:value-of name="tivPropDivisor" index="k" />
</c:quotient>
</rate>
As can be observed via the Summary Page, this calculation compiles into the
following mathematical expression:
∑ₖ(pₖ(tₖ/dₖ)),
that is—the quotient is then multiplied by the value of the `property`
classification, which is a 0 or 1 respectively for that index.
Let's say that tivPropDivisor were defined in this way:
<rate-each class="property" generates="tivPropDivisor" index="k">
<!--- ... logic here ... -->
</rate>
It does not matter what the logic here is. Observe that the predicate here
is `property` as well, which means that, if this risk is not a property
risk, then `tivPropDivisor` will be `0`.
Looking back at `propValue`, let's say that we do have a property risk, and
that `buildingTiv` is `[100_000, 200_000]` and `tivPropDivisor` is 1000. We
then have:
1(100,000 / 1000) + 1(200,000 / 1000)) = 300.
Consider instead what happens if `property` is 0. Since we have no property
locations, we have `[0, 0]` as `buildingTiv` and `tivPropDivisor` is 0.
0(0/0) + 0(0/0)) = 0(NaN + NaN) = NaN.
This is clearly not what was intended. The predicate is expected to be
_strongly_ zero, as if using an Iverson bracket:
((0/0)[0] + (0/0)[0]) = 0.
Of course, one option is to redefine TAME such that we use Iverson's
convention in place of summation, however this is neither necessary nor
desirable given that
(a) NaN is not valid within the domain of any TAME expression, and
(b) Summation is elegantly generalized and efficiently computed using
vector arithmetic and SIMD functions.
That is: there's no use in messing with TAME's computational model for a
valid that should be impossible to represent.
Short-Circuiting Computation
----------------------------
There's another way to look at it, though: that we intended to skip the
computation entirely, and so it doesn't matter what the quotient is. If the
compiler were smart enough (and maybe one day it will be), it would know
that the predicate of `tivPropDivisor` and `propValue` are the same and so
there is no circumstance under which we would compute `propValue` and have
`tivPropDivisor` be 0.
The problem is: that short-circuiting is employed as an _optimization_, and
is an implementation detail. Mathematically, the expression is unchanged,
and is still invalid within TAME's domain. It is unrepresentable, and so
this is not an out.
But let's pretend that it was defined that way, which would yield this:
{ ∑ₖ(pₖ(tₖ/dₖ)), ∀x∈p(x = 1);
propValue = <
{ 0, otherwise.
This is the optimization that is employed, but it's still not mathematically
correct! What happens if p₀ = 1, but p₁ = 0? Then we have:
1(100,000/1000) + 0(0/0) = 100 + NaN = NaN,
but the _intent_ was clearly to have 100 + 0 = 100, and so we return to the
original problem once again.
Classification Predicates and Intent
------------------------------------
Classifications are used as predicates for equations, but classifications
_themselves_ have predicates in the form of _matches_. Consider, for
example, a classification that may be used in an assertion to prevent
negative premium from being generated:
<t:assert failure="premBuilding must not be negative for any index">
<t:match-gte value="premBuilding" value="#0" />
</t:assert>
Simple enough—the system will fail if the premium for a given building is
below $0.
But what happens if premBuilding is calculated as so?
<rate-each class="property" yields="premBuildingTotal"
generates="premBuilding" index="k">
<c:product>
<c:value-of name="propValue" index="k" />
<c:value-of name="propRate" index="k" />
</c:product>
</rate-each>
Alas, if `property` is false for any index, then we know that `propValue` is
NaN, and NaN * x = NaN, and so `premBuilding` is NaN.
The above assertion will compile the match into the first-order sentence
∀x∈b(x > 0).
Unfortunately, NaN is not greater than, less than, equal to, or any other
sort of thing to 0, and so _this assertion will trigger_. This causes
practical problems with the `_premium_` template, which has an
`@allow-zero@` argument to permit zero premium.
Consider this real-world case that I found (variables renamed), to avoid a
strawman:
<t:premium class="loc" round="cent"
yields="locInitialTotal"
generates="locInitial" index="k"
allow-zero="true"
desc="...">
<c:value-of name="premAdditional" />
<c:quotient>
<c:value-of name="premLoc" index="k" />
<c:value-of name="premTotal" />
</c:quotient>
</t:premium>
This appears to be responsible for splitting up `premAdditional` relative to
the total premium contribution of each location. It explicitly states that
it wants to permit a zero value. The intent of this block is clear: a value
of 0 is explicitly permitted and _expected_.
But if `premTotal` is for whatever reason 0—whether it be due to a test
case or some unexpected input—then it'll yield a NaN and make the entire
expression NaN. Or if `premAdditional` or `premLoc` are tainted by a NaN,
the same result will occur. The assertion will trigger. And, indeed, this
is what I'm seeing with test cases against the new classification system.
What about Infinity? Is it intuitive that, should `propValue` in the
previous example be positive and `propRate` be 0, that we would, rather than
producing a very small value, produce an infinitely large one? Does that
match intuition? Remember, this system is a domain-specific language for
_our_ purposes—it is not intended to be used to model infinities.
For example, say we had this submission because the premium exceeds our
authority to write with some carrier:
<t:submit reason="Premium exceeds authority">
<t:match-gt name="premBuilding" value="#100k" />
</t:submit>
If we had
(100,000 / 0) = ∞,
then this submit reason would trigger. Surely that was not intended, since
we have `property` as a predicate and `propRate` with the same predicate,
implying that the answer we _actually_ want is 0! In that case, what we
_probably_ want to trigger is something like
<rate yields="premFinal">
<t:maxreduce>
<c:value-of name="premBuildingTotal" />
<c:value-of name="#500" />
</t:maxreduce>
</rate>,
in order to apply a minimum premium of $500. But if `premBuildingTotal` is
Infinity, then you won't get that—you'll get Infinity, which is of course
nonsense.
And nevermind -Infinity.
Why Wasn't This a Problem Before?
---------------------------------
So why bring this up now? Why have we survived a decade without this?
We haven't, really—these bugs have been hidden. But the old classification
system covered them up; predicates would implicitly treat missing values as
0 by enclosing them in `(x||0)` in the compiled code. Observe this
ECMAScript code:
NaN || 0 = 0.
Consequently, the old classification system absorbed bad values and treated
them implicitly as 0. But that was a bug, and had to be removed; it meant
that missing indexes in classifications would trigger predicates that were
not intended to be triggered, if they matched against 0, or matched against
a value less than some number larger than zero. (See
`core/test/core/class` for examples.)
The new classification system does not perform such defaulting. _But it
also does not expect to receive values outside of its valid domain._
Consequently, _NaN and Infinity lead to undefined behavior_, and the
current implementation causes the predicate to match (NaN < 0) and therefore
fail.
The reason for this is because that this implementation is intended to
convey precisely the computation necessary for the classification system, as
formally defined, so that it can be later optimized even further. Checking
for values outside the domain not only should not be necessary, but it would
prevent such future optimizations.
Furthermore, parameters used to compile into (param||0), to account for
missing values or empty strings. This changed somewhat recently with
5a816a4701, which pre-cast all inputs and
allowed relaxing many of those casts since they were both wasteful and no
longer necessary.
Given that, for all practical purposes, 0/0=0 in the system <1yr ago.
Infinity, of course, is a different story, since (Infinity||0)=Infinity;
this one has always been a problem.
Let's Just Fail
---------------
Okay, so we cannot have a valid expression, so let's just fail.
We could mean that in two different ways:
1. Fail at runtime if we divide by 0; or
2. Fail at compile-time if we _could_ divide by 0.
Both of these have their own challenges.
Let's dismiss #2 right off the bat for now, because until we have TAMER,
that's not really feasible. We need something today. We will discuss that
in the future.
For #1—we cannot just throw an error and halt computation, because if the
`canterm` flag passed into the system is `false`, then _computation must
proceed and return all results_. Terminating classifications are checked
after returning rather than throwing errors.
Since we have to proceed with computation, then the computations have to be
valid, and so we're left with the same problem again—we cannot have
undefined behavior.
One could argue that, okay, we have undefined behavior, but we're going to
fail because of the assertion anyway! That's potentially defensible, but it
is at the moment undesirable, because we get so many failures. And,
relative to the section below, it's not clear to me what benefit we get from
that behavior other than making things more difficult for ourselves.
Furthermore, such an assertion would have to be defined for every
calculation that performs a quotient, and would have to set some
intermediate flag in the calculation which would then have to be checked for
after-the-fact. This muddies the generated calculation, which causes
problems for optimizations, because it requires peering into state of the
calculation that may be hidden or optimized away.
If we decide that calculations must be valid because we cannot fail, and we
have to stick with the domain of calculations, then `x/0` must be
_something_ within that domain.
x/0=0 Makes Sense With the Current System
-----------------------------------------
Let's take a step back. Consider a developer who is unaware that
NaN/Infinity are permitted in the system—they just know that division by
zero is a bad thing to do because that's what they learned, and they want to
avoid it in their code.
Consider that they started with this:
<rate-each class="property" generates="propValue" index="k">
<c:quotient>
<c:value-of name="buildingTiv" index="k" />
<c:value-of name="tivPropDivisor" index="k" />
</c:quotient>
</rate>
They have inspected the output of `tivPropDivisor` and see that it is
sometimes 0. They understand that `property` is a predicate for the
calculation, and so reasonably think that they could do something like this:
<classify as="nonzero-tiv-prop-divisor" ...>
<t:match-ne on="tivPropDivisor" value="#0" />
</classify>
and then change the rate-each to
<rate-each class="property nonzero-tiv-prop-divisor" ...>.
Except that, of course, we know that will have no effect, because a NaN is a
NaN. This is not intuitive.
So they'd have to do this:
<rate-each class="property" generates="propValue" index="k">
<c:cases>
<c:case>
<t:when-ne name="tivPropDivisor" value="#0" />
<c:quotient>
<c:value-of name="buildingTiv" index="k" />
<c:value-of name="tivPropDivisor" index="k" />
</c:quotient>
</c:case>
<c:otherwise>
<c:value-of name="#0" />
</c:otherwise>
</c:cases>
</rate>.
But for what purpose? What have we gained over simply having x/0=0, which
does this for you?
The reason why this is so unintuitive is because 0 is the default case in
every other part of the system. If something doesn't match a predicate, the
value becomes 0. If a value at an index is not defined, it is implicitly
zero. A non-matching predicate is 0.
This is exploited for reducing values using summation. So the behavior of
the system with regards to 0 is always on the mind of the developer. If we
add it in another spot, they would think nothing of it.
It would be nice if it acted as an identity in a monoidic operation,
e.g. as 0 for sums but as 1 for products, but that's not how the system
works at all today. And indeed such a thing could be introduced using a
special template in place of `c:value-of` that copies the predicates of the
referenced value and does the right thing.
The _danger_, of course, is that this is _not_ how the system as worked, and
so changing the behavior has the risk of breaking something that has relied
on undefined behavior for so long. This is indeed a risk, but I have taken
some confident in (a) all the test cases for our system pass despite a
significant number of x/0=0 being triggered due to limited inputs, and (b)
these situations are _not correct today_, resulting in `null` in serialized
result data because `JSON.stringify([NaN, Infinity]) === "[null, null]"`.
Given all of that, predictable incorrect behavior is better than undefined
behavior.
So x/0=0 Isn't Bad?
-------------------
No, and it's mathematically sound. This decision isn't unprecedented—
Coq, Lean, Agda, and other theorem provers define x/0=0. APL originally
defined x/0=1, but later switched to 0. Other languages do their own thing
depending on what is right for their particular situation.
Division is normally derived from
a × a⁻¹ = 1, a ≠ 0.
We're simply not using that definition—when we say "quotient", or use the
`/` symbol, we mean a _different_ function (`div`, in the compiled JS),
where we have an _additional_ axiom that
a / 0 = 0.
And, similarly,
0⁻¹ = 0.
So we've taken a _normally undefined_ case and given it a definition. No
inconsistency arises.
In fact, this makes _sense_ to do, because _this is what we want_. The
alternative, as mentioned above, is a lot of boilerplate—checking for 0 any
time we want to do division. Complicating the compiler to check for those
cases. And so on. It's easier to simple state that, in TAME, quotients
have this extra convenient feature whereby you don't have to worry about
your denominator being zero because it'll act as though you enclosed it in a
case statement, and because of that, all your code continues to operate in
an intuitive way.
I really recommend reading this blog post regarding the Lean theorem prover:
https://xenaproject.wordpress.com/2020/07/05/division-by-zero-in-type-theory-a-faq/
This is intended to be set via the configure script, and is being added
primarily for the upcoming flag to enable the legacy classification
system. This is only used for the XSLT-based compiler.
preproc:symtable-process-symbols is run on each pass (e.g. during initial
processing and after each template expansion) to introduce new symbols into
the symbol table from imports and newly discovered symbols.
This processing was previously optimized a bit using maps to reduce the cost
of symbol table lookups, but the processing was still inefficient, relying
on XSLT1-style processing (as originally written) for deduplication. This
now uses `for-each-group` and `perform-sort` to offload the expensive
computation onto Saxon, which is much more efficient.
Symbol table processing has long been a culprit, but I hadn't attempted to
optimize further in recent months because of TAMER work. Since TAMER has
been on pause for a few months with other things needing my attention, I
needed to provide a short-term performance improvement to keep up with
increasing build times.
DEV-11716
This provides logging that can be used to analyze jobs. See `tamed --help`
for some examples. More to come.
You'll notice that one of the examples reprents package build time in
_minutes_. This is why TAMER is necessary; as of the time of writing, the
longest-building package is nearly five and a half minutes, and there are a
number of packages that take a minute or more. But, there are potentially
other optimizations that can be done. And this is _after_ many rounds of
optimizations over the years. (TAME was not originally built for what it is
currently being used for.)
This is something that I've wanted to do for quite some time, but for good
reason, have been avoiding.
`tamed --report` is fairly basic right now, but allows you to see what each
of the runners are doing. This will be expanded further to gather data for
further analysis.
The thing that I was avoiding was a status line during the build to
summarize what the runners are doing, since it's nearly impossible to do so
from the build output with multiple runners. This will not only allow me to
debug more easily, but will keep the output plainly visible to developers at
all times in the hope that it can help them improve the build times
themselves in certain cases.
It is currently gated behind TAMED_TUI, since, while it works well overall,
it is imperfect, and will cause artifacts from build output partly
overwriting the status line, and may even occasionally clobber the PS1 by
erasing the line. This will be improved upon in the future; something is
better than nothing.
This macro is used to consume whitespace so that the following sentence can
start on the next line without producing any whitespace in the output. Its
argument is, therefore, whitespace.
This used to work in earlier versions of Texinfo, but around 6.{6,7} it
began failing because an argument was provided when it wasn't defined with
one.
This clears the buffers used by quick_xml, which was apparently forgotten
during initial development (I think I expected it to re-use the previously
allocated space automatically).
This has significant effects in some cases. For example, one of our UI
builds drops from ~9KiB to ~5KiB peak memory usage. Other builds for larger
suppliers are only slightly effected because of some of their massive
fragments.
This was incorrect to begin with---it does not make sense that an input
mapping should depend upon the identifier that it maps to, in the sense that
we make use of these dependencies. If we add weak symbol references in the
future, then this can be reintroduced.
By removing this, we free tameld from having to perform the check itself.
.rev-xmlo bumped to force rebuilding of object files since the linker now
expects that no such dependencies will exist within them.
This is something that changed when the TAMER POC was initially created, as
I was learning Rust. I don't recall the original reason why this was moved,
but it could have been moved back long ago.
In our systems, constants can hold tables (as matrices) with tens or
hundreds of thousands of rows, and there are a number of them in certain
projects. As an example, the YAML-based test cases for one of our systems
went from ~2m30s to ~45s after this change was made. Much of the cost
savings comes from saving GC.
This can occur in generated code (e.g. from proguic if a question-based
predicate inherits a predicate already specified). This commit does not
change anything that's emitted; it merely allows proceeding.
TAMER can be smarter about this; I don't want to invest more time into
generalizing deduplication of predicates.
There was a bug whereby TRUE matches would keep whatever value was being
matched on, even if it was not a boolean. That was an oversight from the
proof-of-concept code, and this fixes it; that's why this is behind a flag!
This also adjusts the class aliasing optimization so that it doesn't check
for a `TRUE` symbol name, which was a bad idea to begin with.
This change also ends up expanding `lv:match[@value="TRUE"]` into the long
form, where it didn't previously; this will result in slightly larger xmlo
files in some cases, but it's nothing significant, and it does not impact
compilation times.
This is a nearly-10-year-old bug that was introduced when the Summary Page
was modified to use the then-new symbol table. The compiler previously
concatenated all packages into a single XML tree and processed that, so no
package resolution was necessary here before.
A long time ago (about a decade), package names were required, but they are
now generated by the compiler relative to the root path. The name here was
incorrect, which was generating an incorrect path for the linked symbols,
which was causing problems with the Summary Page.
This package is not used today. See RELEASES.md for more information; This
is a dangerous package that never should have existed.
This also fixes the test suite.
The classification system rewrite removed the debug value collection that
previously existed. It didn't make a whole lot of sense anyway, given that
that compiler rearranges matches.
This falls back to showing the value of the @on, which should be good
enough, and is honestly better than what we had before.
%.xml{=>o}: %csvo rater/core/vector/table.xmlo
That is: we'll only build an object file when we try to build another object
file. This was causing problems with dependency generation, because it will
triggering compilation early.
This should have been done many years ago. This will determine if any of
the dependencies have changed for the included suppliers.mk and regenerate
it as needed, without the developer having to do so manually when imports
change.
* build-aux/Makefile.am (suppliers.mk): Invoke ant with `-q` to eliminate
"processing" messages for each and every file. This also speeds up
operation slightly.
* build-aux/gen-make: Remove information echos for each file.
These changes will allow for suppliers.mk to be regenerated automatically
without being so invasive.
The intent originally was to try to keep developers to a reasonable name
length, but generated identifiers can easily exceed this, and we further do
not support namespacing.
This can be handled at a template level instead for enforcing naming
conventions.
This had gotten quite out of date from the actual rater.xsd, which existed
outside of this repository, that is used during our build process. That was
an unintended artifact from moving files around.
That file has been removed and symlinked to this one.
Note: this really belongs in liza-proguic, and should be moved in the near
future.
liza-proguic is being modified to generate step-level packages, which are
significantly faster to build than larger ones (XSLT TAME scales
terribly). These changes handle those new dependencies.
One important thing to note with this change is that suppliers.mk now
requires proguic to have run before generation so that those generated
dependencies can be properly examined. This is a quick operation, so that
is not problematic.
This also depends on the .version.xml change that was previously made: when
the timestamp changed every time, we got into an infinite build loop.
First thing to note: this belong in liza-proguic, not here. But it's here
right now, so for now I'm making the change. The relationship between TAME
and proguic is awkward and will hopefully be improved upon in the near
future.
As for this actual change: step-level fragments will be concatenated such
that the imports will appear at the step level rather than the root.
Brandon Ellis
Mike Gerwitz