Put functional tests in tests/functional

I think it is bad for these reasons when `tests/` contains a mix of
functional and integration tests

 - Concepts is harder to understand, the documentation makes a good
   unit vs functional vs integration distinction, but when the
   integration tests are just two subdirs within `tests/` this is not
   clear.

 - Source filtering in the `flake.nix` is more complex. We need to
   filter out some of the dirs from `tests/`, rather than simply pick
   the dirs we want and take all of them. This is a good sign the
   structure of what we are trying to do is not matching the structure
   of the files.

With this change we have a clean:
```shell-session
$ git show 'HEAD:tests'
tree HEAD:tests

functional/
installer/
nixos/
```

tests/functional/impure-derivations.sh

@@ -0,0 +1,65 @@
+source common.sh
+
+requireDaemonNewerThan "2.8pre20220311"
+
+enableFeatures "ca-derivations impure-derivations"
+restartDaemon
+
+clearStore
+
+# Basic test of impure derivations: building one a second time should not use the previous result.
+printf 0 > $TEST_ROOT/counter
+
+# `nix derivation add` with impure derivations work
+drvPath=$(nix-instantiate ./impure-derivations.nix -A impure)
+nix derivation show $drvPath | jq .[] > $TEST_HOME/impure-drv.json
+drvPath2=$(nix derivation add < $TEST_HOME/impure-drv.json)
+[[ "$drvPath" = "$drvPath2" ]]
+
+# But only with the experimental feature!
+expectStderr 1 nix derivation add < $TEST_HOME/impure-drv.json --experimental-features nix-command | grepQuiet "experimental Nix feature 'impure-derivations' is disabled"
+
+nix build --dry-run --json --file ./impure-derivations.nix impure.all
+json=$(nix build -L --no-link --json --file ./impure-derivations.nix impure.all)
+path1=$(echo $json | jq -r .[].outputs.out)
+path1_stuff=$(echo $json | jq -r .[].outputs.stuff)
+[[ $(< $path1/n) = 0 ]]
+[[ $(< $path1_stuff/bla) = 0 ]]
+
+[[ $(nix path-info --json $path1 | jq .[].ca) =~ fixed:r:sha256: ]]
+
+path2=$(nix build -L --no-link --json --file ./impure-derivations.nix impure | jq -r .[].outputs.out)
+[[ $(< $path2/n) = 1 ]]
+
+# Test impure derivations that depend on impure derivations.
+path3=$(nix build -L --no-link --json --file ./impure-derivations.nix impureOnImpure | jq -r .[].outputs.out)
+[[ $(< $path3/n) = X2 ]]
+
+path4=$(nix build -L --no-link --json --file ./impure-derivations.nix impureOnImpure | jq -r .[].outputs.out)
+[[ $(< $path4/n) = X3 ]]
+
+# Test that (self-)references work.
+[[ $(< $path4/symlink/bla) = 3 ]]
+[[ $(< $path4/self/n) = X3 ]]
+
+# Input-addressed derivations cannot depend on impure derivations directly.
+(! nix build -L --no-link --json --file ./impure-derivations.nix inputAddressed 2>&1) | grep 'depends on impure derivation'
+
+drvPath=$(nix eval --json --file ./impure-derivations.nix impure.drvPath | jq -r .)
+[[ $(nix derivation show $drvPath | jq ".[\"$drvPath\"].outputs.out.impure") = true ]]
+[[ $(nix derivation show $drvPath | jq ".[\"$drvPath\"].outputs.stuff.impure") = true ]]
+
+# Fixed-output derivations *can* depend on impure derivations.
+path5=$(nix build -L --no-link --json --file ./impure-derivations.nix contentAddressed | jq -r .[].outputs.out)
+[[ $(< $path5) = X ]]
+[[ $(< $TEST_ROOT/counter) = 5 ]]
+
+# And they should not be rebuilt.
+path5=$(nix build -L --no-link --json --file ./impure-derivations.nix contentAddressed | jq -r .[].outputs.out)
+[[ $(< $path5) = X ]]
+[[ $(< $TEST_ROOT/counter) = 5 ]]
+
+# Input-addressed derivations can depend on fixed-output derivations that depend on impure derivations.
+path6=$(nix build -L --no-link --json --file ./impure-derivations.nix inputAddressedAfterCA | jq -r .[].outputs.out)
+[[ $(< $path6) = X ]]
+[[ $(< $TEST_ROOT/counter) = 5 ]]