-module(glat).
-compile([no_auto_import, nowarn_unused_vars, nowarn_unused_function, nowarn_nomatch]).

-export([from_int/1, from_float_check/1, to_int/1, to_int_floor/1, to_float/1, to_string/1, is_negative/1, is_positive/1, absolute_value/1, remainder/1, modulo/1, fraction/1, fraction_floor/1, floor/1, ceiling/1, negate/1, compare/2, round/1, add/2, subtract/2, multiply/2, max/2, min/2, clamp/3, digits/2, map_num/2, new_check/2, random_check/1, parse_check/1, flip_check/1, divide_check/2, int_power_check/2, undigits_check/2, map_den_check/2, map_both_check/2, map_seperate_check/3, new/2, from_float/1, parse/1, reduce/1, flip/1, undigits/2, unwrap/1, random/1, divide/2, square_root_check/1, square_root/1, power_check/2, power/2, int_power/2, map_den/2, map_both/2, map_seperate/3, product/1, sum/1]).
-export_type([rational/0, undigits_error/0]).

-type rational() :: {rational, integer(), integer()}.

-type undigits_error() :: base_error | zero_error.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 36).
-spec from_int(integer()) -> rational().
from_int(Num) ->
    {rational, Num, 1}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 57).
-spec from_float_check(float()) -> {ok, rational()} | {error, nil}.
from_float_check(F) ->
    case F of
        +0.0 ->
            {error, nil};

        _ ->
            _assert_subject = begin
                _pipe = gleam@float:to_string(F),
                gleam@string:split(_pipe, <<"."/utf8>>)
            end,
            [Whole_str, Fract_str] = case _assert_subject of
                [_, _] -> _assert_subject;
                _assert_fail ->
                    erlang:error(#{gleam_error => let_assert,
                                message => <<"Pattern match failed, no pattern matched the value."/utf8>>,
                                value => _assert_fail,
                                module => <<"glat"/utf8>>,
                                function => <<"from_float_check"/utf8>>,
                                line => 61})
            end,
            Fract_str@1 = case Fract_str of
                <<"0"/utf8>> ->
                    <<""/utf8>>;

                X ->
                    X
            end,
            Power = gleam@string:length(Fract_str@1),
            _assert_subject@1 = gleam@int:parse(
                <<Whole_str/binary, Fract_str@1/binary>>
            ),
            {ok, Num} = case _assert_subject@1 of
                {ok, _} -> _assert_subject@1;
                _assert_fail@1 ->
                    erlang:error(#{gleam_error => let_assert,
                                message => <<"Pattern match failed, no pattern matched the value."/utf8>>,
                                value => _assert_fail@1,
                                module => <<"glat"/utf8>>,
                                function => <<"from_float_check"/utf8>>,
                                line => 70})
            end,
            Den = glat@util:int_power(10, Power),
            {ok, {rational, Num, Den}}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 99).
-spec do_parse(binary()) -> {ok, {integer(), integer()}} | {error, nil}.
do_parse(Str) ->
    case begin
        _pipe = Str,
        gleam@string:split(_pipe, <<"/"/utf8>>)
    end of
        [Num, Den] ->
            gleam@result:'try'(
                gleam@int:parse(Num),
                fun(Num@1) ->
                    gleam@result:'try'(
                        gleam@int:parse(Den),
                        fun(Den@1) -> {ok, {Num@1, Den@1}} end
                    )
                end
            );

        _ ->
            {error, nil}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 112).
-spec to_int(rational()) -> integer().
to_int(Rat) ->
    case erlang:element(3, Rat) of
        0 -> 0;
        Gleam@denominator -> erlang:element(2, Rat) div Gleam@denominator
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 118).
-spec to_int_floor(rational()) -> integer().
to_int_floor(Rat) ->
    _pipe = erlang:element(2, Rat),
    _pipe@1 = gleam@int:floor_divide(_pipe, erlang:element(3, Rat)),
    gleam@result:unwrap(_pipe@1, 0).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 123).
-spec to_float(rational()) -> float().
to_float(Rat) ->
    case gleam@int:to_float(erlang:element(3, Rat)) of
        +0.0 -> +0.0;
        -0.0 -> -0.0;
        Gleam@denominator -> gleam@int:to_float(erlang:element(2, Rat)) / Gleam@denominator
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 128).
-spec to_string(rational()) -> binary().
to_string(Rat) ->
    <<<<(gleam@int:to_string(erlang:element(2, Rat)))/binary, "/"/utf8>>/binary,
        (gleam@int:to_string(erlang:element(3, Rat)))/binary>>.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 132).
-spec is_negative(rational()) -> boolean().
is_negative(Rat) ->
    erlang:element(2, Rat) < 0.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 136).
-spec is_positive(rational()) -> boolean().
is_positive(Rat) ->
    erlang:element(2, Rat) >= 0.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 147).
-spec absolute_value(rational()) -> rational().
absolute_value(Rat) ->
    erlang:setelement(2, Rat, gleam@int:absolute_value(erlang:element(2, Rat))).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 190).
-spec remainder(rational()) -> integer().
remainder(Rat) ->
    _assert_subject = gleam@int:remainder(
        erlang:element(2, Rat),
        erlang:element(3, Rat)
    ),
    {ok, Num} = case _assert_subject of
        {ok, _} -> _assert_subject;
        _assert_fail ->
            erlang:error(#{gleam_error => let_assert,
                        message => <<"Pattern match failed, no pattern matched the value."/utf8>>,
                        value => _assert_fail,
                        module => <<"glat"/utf8>>,
                        function => <<"remainder"/utf8>>,
                        line => 191})
    end,
    Num.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 197).
-spec modulo(rational()) -> integer().
modulo(Rat) ->
    _assert_subject = gleam@int:modulo(
        erlang:element(2, Rat),
        erlang:element(3, Rat)
    ),
    {ok, Num} = case _assert_subject of
        {ok, _} -> _assert_subject;
        _assert_fail ->
            erlang:error(#{gleam_error => let_assert,
                        message => <<"Pattern match failed, no pattern matched the value."/utf8>>,
                        value => _assert_fail,
                        module => <<"glat"/utf8>>,
                        function => <<"modulo"/utf8>>,
                        line => 198})
    end,
    Num.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 204).
-spec fraction(rational()) -> rational().
fraction(Rat) ->
    {rational, remainder(Rat), erlang:element(3, Rat)}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 210).
-spec fraction_floor(rational()) -> rational().
fraction_floor(Rat) ->
    {rational, modulo(Rat), erlang:element(3, Rat)}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 215).
-spec floor(rational()) -> rational().
floor(Rat) ->
    case remainder(Rat) of
        0 ->
            Rat;

        Rem ->
            case is_positive(Rat) of
                true ->
                    {rational,
                        erlang:element(2, Rat) - Rem,
                        erlang:element(3, Rat)};

                false ->
                    {rational,
                        (erlang:element(2, Rat) - Rem) - erlang:element(3, Rat),
                        erlang:element(3, Rat)}
            end
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 229).
-spec ceiling(rational()) -> rational().
ceiling(Rat) ->
    case remainder(Rat) of
        0 ->
            Rat;

        Rem ->
            case is_positive(Rat) of
                true ->
                    {rational,
                        (erlang:element(2, Rat) - Rem) + erlang:element(3, Rat),
                        erlang:element(3, Rat)};

                false ->
                    {rational,
                        erlang:element(2, Rat) - Rem,
                        erlang:element(3, Rat)}
            end
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 249).
-spec negate(rational()) -> rational().
negate(Rat) ->
    {rational, - erlang:element(2, Rat), erlang:element(3, Rat)}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 253).
-spec compare(rational(), rational()) -> gleam@order:order().
compare(Lhs, Rhs) ->
    gleam@int:compare(
        erlang:element(2, Lhs) * erlang:element(3, Rhs),
        erlang:element(3, Lhs) * erlang:element(2, Rhs)
    ).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 241).
-spec round(rational()) -> rational().
round(Rat) ->
    _pipe = Rat,
    case compare(Rat, {rational, 1, 2}) of
        gt ->
            fun ceiling/1;

        eq ->
            fun ceiling/1;

        lt ->
            fun floor/1
    end(_pipe).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 257).
-spec add(rational(), rational()) -> rational().
add(Lhs, Rhs) ->
    case erlang:element(3, Lhs) =:= erlang:element(3, Rhs) of
        true ->
            {rational,
                erlang:element(2, Lhs) + erlang:element(2, Rhs),
                erlang:element(3, Lhs)};

        false ->
            {rational,
                (erlang:element(2, Lhs) * erlang:element(3, Rhs)) + (erlang:element(
                    3,
                    Lhs
                )
                * erlang:element(2, Rhs)),
                erlang:element(3, Lhs) * erlang:element(3, Rhs)}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 265).
-spec subtract(rational(), rational()) -> rational().
subtract(Lhs, Rhs) ->
    case erlang:element(3, Lhs) =:= erlang:element(3, Rhs) of
        true ->
            {rational,
                erlang:element(2, Lhs) - erlang:element(2, Rhs),
                erlang:element(3, Lhs)};

        false ->
            {rational,
                (erlang:element(2, Lhs) * erlang:element(3, Rhs)) - (erlang:element(
                    3,
                    Lhs
                )
                * erlang:element(2, Rhs)),
                erlang:element(3, Lhs) * erlang:element(3, Rhs)}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 273).
-spec multiply(rational(), rational()) -> rational().
multiply(Lhs, Rhs) ->
    {rational,
        erlang:element(2, Lhs) * erlang:element(2, Rhs),
        erlang:element(3, Lhs) * erlang:element(3, Rhs)}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 294).
-spec max(rational(), rational()) -> rational().
max(Rat1, Rat2) ->
    case compare(Rat1, Rat2) of
        lt ->
            Rat2;

        _ ->
            Rat1
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 303).
-spec min(rational(), rational()) -> rational().
min(Rat1, Rat2) ->
    case compare(Rat1, Rat2) of
        gt ->
            Rat2;

        _ ->
            Rat1
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 312).
-spec clamp(rational(), rational(), rational()) -> rational().
clamp(Rat, Min_bound, Max_bound) ->
    _pipe = Rat,
    _pipe@1 = min(_pipe, Max_bound),
    max(_pipe@1, Min_bound).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 361).
-spec digits(rational(), integer()) -> {ok, {list(integer()), list(integer())}} |
    {error, nil}.
digits(Rat, Base) ->
    case {gleam@int:digits(erlang:element(2, Rat), Base),
        gleam@int:digits(erlang:element(3, Rat), Base)} of
        {{ok, Num}, {ok, Den}} ->
            {ok, {Num, Den}};

        {_, _} ->
            {error, nil}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 414).
-spec map_num(rational(), fun((integer()) -> integer())) -> rational().
map_num(Rat, Fun) ->
    {rational, Fun(erlang:element(2, Rat)), erlang:element(3, Rat)}.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 462).
-spec shift_negative(rational()) -> rational().
shift_negative(Rat) ->
    case erlang:element(3, Rat) < 0 of
        true ->
            {rational,
                gleam@int:negate(erlang:element(2, Rat)),
                gleam@int:negate(erlang:element(3, Rat))};

        false ->
            Rat
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 23).
-spec new_check(integer(), integer()) -> {ok, rational()} | {error, nil}.
new_check(Num, Den) ->
    case Den of
        0 ->
            {error, nil};

        _ ->
            {ok,
                begin
                    _pipe = {rational, Num, Den},
                    shift_negative(_pipe)
                end}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 44).
-spec random_check(integer()) -> {ok, rational()} | {error, nil}.
random_check(Den) ->
    new_check(gleam@int:random(gleam@int:absolute_value(Den) + 1), Den).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 85).
-spec parse_check(binary()) -> {ok, rational()} | {error, nil}.
parse_check(Str) ->
    gleam@result:'try'(
        do_parse(Str),
        fun(_use0) ->
            {Num, Den} = _use0,
            new_check(Num, Den)
        end
    ).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 154).
-spec flip_check(rational()) -> {ok, rational()} | {error, nil}.
flip_check(Rat) ->
    new_check(erlang:element(3, Rat), erlang:element(2, Rat)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 281).
-spec divide_check(rational(), rational()) -> {ok, rational()} | {error, nil}.
divide_check(Lhs, Rhs) ->
    _pipe = flip_check(Rhs),
    gleam@result:map(_pipe, fun(_capture) -> multiply(Lhs, _capture) end).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 336).
-spec int_power_check(integer(), integer()) -> {ok, rational()} | {error, nil}.
int_power_check(Base, Exponent) ->
    case Exponent >= 0 of
        true ->
            _pipe = glat@util:int_power(Base, Exponent),
            _pipe@1 = from_int(_pipe),
            {ok, _pipe@1};

        false ->
            new_check(1, glat@util:int_power(Base, gleam@int:negate(Exponent)))
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 396).
-spec do_undigits({list(integer()), list(integer())}, integer()) -> {ok,
        rational()} |
    {error, undigits_error()}.
do_undigits(Tup, Base) ->
    gleam@result:'try'(
        begin
            _pipe = gleam@int:undigits(erlang:element(1, Tup), Base),
            gleam@result:replace_error(_pipe, base_error)
        end,
        fun(Num) ->
            gleam@result:'try'(
                begin
                    _pipe@1 = gleam@int:undigits(erlang:element(2, Tup), Base),
                    gleam@result:replace_error(_pipe@1, base_error)
                end,
                fun(Den) -> _pipe@2 = new_check(Num, Den),
                    gleam@result:replace_error(_pipe@2, zero_error) end
            )
        end
    ).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 373).
-spec undigits_check({list(integer()), list(integer())}, integer()) -> {ok,
        rational()} |
    {error, nil}.
undigits_check(Tup, Base) ->
    _pipe = do_undigits(Tup, Base),
    gleam@result:nil_error(_pipe).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 418).
-spec map_den_check(rational(), fun((integer()) -> integer())) -> {ok,
        rational()} |
    {error, nil}.
map_den_check(Rat, Fun) ->
    new_check(erlang:element(2, Rat), Fun(erlang:element(3, Rat))).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 429).
-spec map_both_check(rational(), fun((integer()) -> integer())) -> {ok,
        rational()} |
    {error, nil}.
map_both_check(Rat, Fun) ->
    new_check(Fun(erlang:element(2, Rat)), Fun(erlang:element(3, Rat))).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 440).
-spec map_seperate_check(
    rational(),
    fun((integer()) -> integer()),
    fun((integer()) -> integer())
) -> {ok, rational()} | {error, nil}.
map_seperate_check(Rat, Fun1, Fun2) ->
    new_check(Fun1(erlang:element(2, Rat)), Fun2(erlang:element(3, Rat))).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 31).
-spec new(integer(), integer()) -> rational().
new(Num, Den) ->
    _pipe = new_check(Num, Den),
    gleam@result:unwrap(_pipe, {rational, 0, 1}).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 78).
-spec from_float(float()) -> rational().
from_float(F) ->
    _pipe = from_float_check(F),
    gleam@result:unwrap(_pipe, {rational, 0, 1}).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 94).
-spec parse(binary()) -> {ok, rational()} | {error, nil}.
parse(Str) ->
    gleam@result:map(
        do_parse(Str),
        fun(_use0) ->
            {Num, Den} = _use0,
            new(Num, Den)
        end
    ).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 141).
-spec reduce(rational()) -> rational().
reduce(Rat) ->
    Gcd = glat@util:gcd(erlang:element(2, Rat), erlang:element(3, Rat)),
    new(case Gcd of
            0 -> 0;
            Gleam@denominator -> erlang:element(2, Rat) div Gleam@denominator
        end, case Gcd of
            0 -> 0;
            Gleam@denominator@1 -> erlang:element(3, Rat) div Gleam@denominator@1
        end).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 161).
-spec flip(rational()) -> rational().
flip(Rat) ->
    _pipe = flip_check(Rat),
    gleam@result:unwrap(_pipe, {rational, 0, 1}).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 385).
-spec undigits({list(integer()), list(integer())}, integer()) -> {ok,
        rational()} |
    {error, nil}.
undigits(Tup, Base) ->
    case do_undigits(Tup, Base) of
        {ok, Rat} ->
            {ok, Rat};

        {error, zero_error} ->
            {ok, {rational, 0, 1}};

        _ ->
            {error, nil}
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 457).
-spec unwrap({ok, rational()} | {error, nil}) -> rational().
unwrap(Res) ->
    gleam@result:unwrap(Res, {rational, 0, 1}).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 52).
-spec random(integer()) -> rational().
random(Den) ->
    unwrap(random_check(Den)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 289).
-spec divide(rational(), rational()) -> rational().
divide(Lhs, Rhs) ->
    unwrap(divide_check(Lhs, Rhs)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 169).
-spec square_root_check(rational()) -> {ok, rational()} | {error, nil}.
square_root_check(Rat) ->
    case erlang:element(2, Rat) of
        0 ->
            {ok, Rat};

        _ ->
            gleam@result:'try'(
                gleam@int:square_root(erlang:element(2, Rat)),
                fun(Num) ->
                    gleam@result:'try'(
                        gleam@int:square_root(erlang:element(3, Rat)),
                        fun(Den) ->
                            {ok, divide(from_float(Num), from_float(Den))}
                        end
                    )
                end
            )
    end.

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 184).
-spec square_root(rational()) -> rational().
square_root(Rat) ->
    _pipe = square_root_check(Rat),
    gleam@result:unwrap(_pipe, {rational, 0, 1}).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 322).
-spec power_check(rational(), integer()) -> {ok, rational()} | {error, nil}.
power_check(Rat, Exponent) ->
    gleam@result:'try'(
        int_power_check(erlang:element(2, Rat), Exponent),
        fun(Num) ->
            gleam@result:map(
                int_power_check(erlang:element(3, Rat), Exponent),
                fun(Den) -> divide(Num, Den) end
            )
        end
    ).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 330).
-spec power(rational(), integer()) -> rational().
power(Rat, Exponent) ->
    unwrap(power_check(Rat, Exponent)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 345).
-spec int_power(integer(), integer()) -> rational().
int_power(Base, Exponent) ->
    unwrap(int_power_check(Base, Exponent)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 425).
-spec map_den(rational(), fun((integer()) -> integer())) -> rational().
map_den(Rat, Fun) ->
    unwrap(map_den_check(Rat, Fun)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 436).
-spec map_both(rational(), fun((integer()) -> integer())) -> rational().
map_both(Rat, Fun) ->
    unwrap(map_both_check(Rat, Fun)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 448).
-spec map_seperate(
    rational(),
    fun((integer()) -> integer()),
    fun((integer()) -> integer())
) -> rational().
map_seperate(Rat, Fun1, Fun2) ->
    unwrap(map_seperate_check(Rat, Fun1, Fun2)).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 350).
-spec product(list(rational())) -> rational().
product(Rats) ->
    gleam@list:fold(Rats, {rational, 1, 1}, fun multiply/2).

-file("/home/benjamin/building/gleam/glatv1/src/glat.gleam", 355).
-spec sum(list(rational())) -> rational().
sum(Rats) ->
    gleam@list:fold(Rats, {rational, 1, 1}, fun add/2).