refactor!: calculate -> calculators

src/arcaea_offline/calculate/__init__.py

@@ -1,8 +0,0 @@
-from .b30 import calculate_b30, get_b30_calculated_list
-from .score import (
-    calculate_constants_from_play_rating,
-    calculate_play_rating,
-    calculate_score_modifier,
-    calculate_score_range,
-    calculate_shiny_pure,
-)

src/arcaea_offline/calculate/b30.py

@@ -1,24 +0,0 @@
-from decimal import Decimal
-from typing import Dict, List
-
-from ..models.scores import ScoreCalculated
-
-
-def get_b30_calculated_list(
-    calculated_list: List[ScoreCalculated],
-) -> List[ScoreCalculated]:
-    best_scores: Dict[str, ScoreCalculated] = {}
-    for calculated in calculated_list:
-        key = f"{calculated.song_id}_{calculated.rating_class}"
-        stored = best_scores.get(key)
-        if stored and stored.score < calculated.score or not stored:
-            best_scores[key] = calculated
-    ret_list = list(best_scores.values())
-    ret_list = sorted(ret_list, key=lambda c: c.potential, reverse=True)[:30]
-    return ret_list
-
-
-def calculate_b30(calculated_list: List[ScoreCalculated]) -> Decimal:
-    ptt_list = [Decimal(c.potential) for c in get_b30_calculated_list(calculated_list)]
-    sum_ptt_list = sum(ptt_list)
-    return (sum_ptt_list / len(ptt_list)) if sum_ptt_list else Decimal("0.0")

src/arcaea_offline/calculate/score.py

@@ -1,66 +0,0 @@
-from dataclasses import dataclass
-from decimal import Decimal
-from math import floor
-from typing import Tuple, Union
-
-
-def calculate_score_range(notes: int, pure: int, far: int):
-    single_note_score = 10000000 / Decimal(notes)
-
-    actual_score = floor(
-        single_note_score * pure + single_note_score * Decimal(0.5) * far
-    )
-    return (actual_score, actual_score + pure)
-
-
-def calculate_score_modifier(score: int) -> Decimal:
-    if score >= 10000000:
-        return Decimal(2)
-    if score >= 9800000:
-        return Decimal(1) + (Decimal(score - 9800000) / 200000)
-    return Decimal(score - 9500000) / 300000
-
-
-def calculate_play_rating(constant: int, score: int) -> Decimal:
-    score_modifier = calculate_score_modifier(score)
-    return max(Decimal(0), Decimal(constant) / 10 + score_modifier)
-
-
-def calculate_shiny_pure(notes: int, score: int, pure: int, far: int) -> int:
-    single_note_score = 10000000 / Decimal(notes)
-    actual_score = single_note_score * pure + single_note_score * Decimal(0.5) * far
-    return score - floor(actual_score)
-
-
-@dataclass
-class ConstantsFromPlayRatingResult:
-    # pylint: disable=invalid-name
-    EXPlus: Tuple[Decimal, Decimal]
-    EX: Tuple[Decimal, Decimal]
-    AA: Tuple[Decimal, Decimal]
-    A: Tuple[Decimal, Decimal]
-    B: Tuple[Decimal, Decimal]
-    C: Tuple[Decimal, Decimal]
-
-
-def calculate_constants_from_play_rating(play_rating: Union[Decimal, str, float, int]):
-    # pylint: disable=no-value-for-parameter
-
-    play_rating = Decimal(play_rating)
-
-    ranges = []
-    for upper_score, lower_score in [
-        (10000000, 9900000),
-        (9899999, 9800000),
-        (9799999, 9500000),
-        (9499999, 9200000),
-        (9199999, 8900000),
-        (8899999, 8600000),
-    ]:
-        upper_score_modifier = calculate_score_modifier(upper_score)
-        lower_score_modifier = calculate_score_modifier(lower_score)
-        ranges.append(
-            (play_rating - upper_score_modifier, play_rating - lower_score_modifier)
-        )
-
-    return ConstantsFromPlayRatingResult(*ranges)

src/arcaea_offline/calculate/world_step.py

@@ -1,174 +0,0 @@
-from decimal import Decimal
-from typing import Literal, Optional, Union
-
-
-class PlayResult:
-    def __init__(
-        self,
-        *,
-        play_rating: Union[Decimal, str, float, int],
-        partner_step: Union[Decimal, str, float, int],
-    ):
-        self.__play_rating = play_rating
-        self.__partner_step = partner_step
-
-    @property
-    def play_rating(self):
-        return Decimal(self.__play_rating)
-
-    @property
-    def partner_step(self):
-        return Decimal(self.__partner_step)
-
-
-class PartnerBonus:
-    def __init__(
-        self,
-        *,
-        step_bonus: Union[Decimal, str, float, int] = Decimal("0.0"),
-        final_multiplier: Union[Decimal, str, float, int] = Decimal("1.0"),
-    ):
-        self.__step_bonus = step_bonus
-        self.__final_multiplier = final_multiplier
-
-    @property
-    def step_bonus(self):
-        return Decimal(self.__step_bonus)
-
-    @property
-    def final_multiplier(self):
-        return Decimal(self.__final_multiplier)
-
-
-AwakenedIlithPartnerBonus = PartnerBonus(step_bonus="6.0")
-AwakenedEtoPartnerBonus = PartnerBonus(step_bonus="7.0")
-AwakenedLunaPartnerBonus = PartnerBonus(step_bonus="7.0")
-
-
-class AwakenedAyuPartnerBonus(PartnerBonus):
-    def __init__(self, step_bonus: Union[Decimal, str, float, int]):
-        super().__init__(step_bonus=step_bonus)
-
-
-AmaneBelowExPartnerBonus = PartnerBonus(final_multiplier="0.5")
-
-
-class MithraTerceraPartnerBonus(PartnerBonus):
-    def __init__(self, step_bonus: int):
-        super().__init__(step_bonus=step_bonus)
-
-
-MayaPartnerBonus = PartnerBonus(final_multiplier="2.0")
-
-
-class StepBooster:
-    def final_value(self) -> Decimal:
-        raise NotImplementedError()
-
-
-class LegacyMapStepBooster(StepBooster):
-    def __init__(
-        self,
-        stamina: Literal[2, 4, 6],
-        fragments: Literal[100, 250, 500, None],
-    ):
-        self.stamina = stamina
-        self.fragments = fragments
-
-    @property
-    def stamina(self):
-        return self.__stamina
-
-    @stamina.setter
-    def stamina(self, value: Literal[2, 4, 6]):
-        if value not in [2, 4, 6]:
-            raise ValueError("stamina can only be one of [2, 4, 6]")
-        self.__stamina = value
-
-    @property
-    def fragments(self):
-        return self.__fragments
-
-    @fragments.setter
-    def fragments(self, value: Literal[100, 250, 500, None]):
-        if value not in [100, 250, 500, None]:
-            raise ValueError("fragments can only be one of [100, 250, 500, None]")
-        self.__fragments = value
-
-    def final_value(self) -> Decimal:
-        stamina_multiplier = Decimal(self.stamina)
-        fragments_multiplier = Decimal(1)
-        if self.fragments == 100:
-            fragments_multiplier = Decimal("1.1")
-        elif self.fragments == 250:
-            fragments_multiplier = Decimal("1.25")
-        elif self.fragments == 500:
-            fragments_multiplier = Decimal("1.5")
-        return stamina_multiplier * fragments_multiplier
-
-
-class MemoriesStepBooster(StepBooster):
-    def final_value(self) -> Decimal:
-        return Decimal("4.0")
-
-
-def calculate_step_original(
-    play_result: PlayResult,
-    *,
-    partner_bonus: Optional[PartnerBonus] = None,
-    step_booster: Optional[StepBooster] = None,
-) -> Decimal:
-    ptt = play_result.play_rating
-    step = play_result.partner_step
-    if partner_bonus:
-        partner_bonus_step = partner_bonus.step_bonus
-        partner_bonus_multiplier = partner_bonus.final_multiplier
-    else:
-        partner_bonus_step = Decimal("0")
-        partner_bonus_multiplier = Decimal("1.0")
-
-    result = (Decimal("2.45") * ptt.sqrt() + Decimal("2.5")) * (step / 50)
-    result += partner_bonus_step
-    result *= partner_bonus_multiplier
-    if step_booster:
-        result *= step_booster.final_value()
-
-    return result
-
-
-def calculate_step(
-    play_result: PlayResult,
-    *,
-    partner_bonus: Optional[PartnerBonus] = None,
-    step_booster: Optional[StepBooster] = None,
-) -> Decimal:
-    result_original = calculate_step_original(
-        play_result, partner_bonus=partner_bonus, step_booster=step_booster
-    )
-
-    return round(result_original, 1)
-
-
-def calculate_play_rating_from_step(
-    step: Union[Decimal, str, int, float],
-    partner_step_value: Union[Decimal, str, int, float],
-    *,
-    partner_bonus: Optional[PartnerBonus] = None,
-    step_booster: Optional[StepBooster] = None,
-):
-    step = Decimal(step)
-    partner_step_value = Decimal(partner_step_value)
-
-    # get original play result
-    if partner_bonus and partner_bonus.final_multiplier:
-        step /= partner_bonus.final_multiplier
-    if step_booster:
-        step /= step_booster.final_value()
-
-    if partner_bonus and partner_bonus.step_bonus:
-        step -= partner_bonus.step_bonus
-
-    play_rating_sqrt = (Decimal(50) * step - Decimal("2.5") * partner_step_value) / (
-        Decimal("2.45") * partner_step_value
-    )
-    return play_rating_sqrt**2 if play_rating_sqrt >= 0 else -(play_rating_sqrt**2)

src/arcaea_offline/calculators/__init__.py

@@ -0,0 +1,2 @@
+from . import world
+from .play_result import PlayResultCalculators, calculate_constants_from_play_rating

src/arcaea_offline/calculators/play_result.py

@@ -0,0 +1,105 @@
+from decimal import Decimal
+from math import floor
+from typing import Tuple, TypedDict, Union
+
+from arcaea_offline.constants.play_result import ScoreLowerLimits
+
+
+class PlayResultCalculators:
+    @staticmethod
+    def score_possible_range(notes: int, pure: int, far: int) -> tuple[int, int]:
+        """
+        Returns the possible range of score based on the given values.
+
+        The first integer of returned tuple is the lower limit of the score,
+        and the second integer is the upper limit.
+
+        For example, ...
+        """
+        single_note_score = 10000000 / Decimal(notes)
+
+        actual_score = floor(
+            single_note_score * pure + single_note_score * Decimal(0.5) * far
+        )
+        return (actual_score, actual_score + pure)
+
+    @staticmethod
+    def shiny_pure(notes: int, score: int, pure: int, far: int) -> int:
+        single_note_score = 10000000 / Decimal(notes)
+        actual_score = single_note_score * pure + single_note_score * Decimal(0.5) * far
+        return score - floor(actual_score)
+
+    @staticmethod
+    def score_modifier(score: int) -> Decimal:
+        """
+        Returns the score modifier of the given score
+
+        https://arcaea.fandom.com/wiki/Potential#Score_Modifier
+
+        :param score: The score of the play result, e.g. 9900000
+        :return: The modifier of the given score, e.g. Decimal("1.5")
+        """
+        if not isinstance(score, int):
+            raise TypeError("score must be an integer")
+        if score < 0:
+            raise ValueError("score cannot be negative")
+
+        if score >= 10000000:
+            return Decimal(2)
+        if score >= 9800000:
+            return Decimal(1) + (Decimal(score - 9800000) / 200000)
+        return Decimal(score - 9500000) / 300000
+
+    @classmethod
+    def play_rating(cls, score: int, constant: int) -> Decimal:
+        """
+        Returns the play rating of the given score
+
+        https://arcaea.fandom.com/wiki/Potential#Play_Rating
+
+        :param constant: The (constant * 10) of the played chart, e.g. 120 for Testify[BYD]
+        :param score: The score of the play result, e.g. 10002221
+        :return: The play rating of the given values, e.g. Decimal("14.0")
+        """
+        if not isinstance(score, int):
+            raise TypeError("score must be an integer")
+        if not isinstance(constant, int):
+            raise TypeError("constant must be an integer")
+        if score < 0:
+            raise ValueError("score cannot be negative")
+        if constant < 0:
+            raise ValueError("constant cannot be negative")
+
+        score_modifier = cls.score_modifier(score)
+        return max(Decimal(0), Decimal(constant) / 10 + score_modifier)
+
+    class ConstantsFromPlayRatingResult(TypedDict):
+        EX_PLUS: Tuple[Decimal, Decimal]
+        EX: Tuple[Decimal, Decimal]
+        AA: Tuple[Decimal, Decimal]
+        A: Tuple[Decimal, Decimal]
+        B: Tuple[Decimal, Decimal]
+        C: Tuple[Decimal, Decimal]
+
+    @classmethod
+    def constants_from_play_rating(
+        cls, play_rating: Union[Decimal, str, float, int]
+    ) -> ConstantsFromPlayRatingResult:
+        play_rating = Decimal(play_rating)
+
+        def _result(score_upper: int, score_lower: int) -> Tuple[Decimal, Decimal]:
+            upper_score_modifier = cls.score_modifier(score_upper)
+            lower_score_modifier = cls.score_modifier(score_lower)
+            return (
+                play_rating - upper_score_modifier,
+                play_rating - lower_score_modifier,
+            )
+
+        return {
+            "EX_PLUS": _result(10000000, ScoreLowerLimits.EX_PLUS),
+            "EX": _result(ScoreLowerLimits.EX_PLUS - 1, ScoreLowerLimits.EX),
+            "AA": _result(ScoreLowerLimits.EX - 1, ScoreLowerLimits.AA),
+            "A": _result(ScoreLowerLimits.AA - 1, ScoreLowerLimits.A),
+            "B": _result(ScoreLowerLimits.A - 1, ScoreLowerLimits.B),
+            "C": _result(ScoreLowerLimits.B - 1, ScoreLowerLimits.C),
+        }

src/arcaea_offline/calculators/world/__init__.py

@@ -0,0 +1,11 @@
+from ._common import MemoriesStepBooster, PartnerBonus, WorldPlayResult
+from .legacy import LegacyMapStepBooster
+from .main import WorldMainMapCalculators
+from .partners import (
+    AmaneBelowExPartnerBonus,
+    AwakenedEtoPartnerBonus,
+    AwakenedIlithPartnerBonus,
+    AwakenedLunaPartnerBonus,
+    MayaPartnerBonus,
+    MithraTerceraPartnerBonus,
+)

src/arcaea_offline/calculators/world/_common.py

@@ -0,0 +1,50 @@
+from decimal import Decimal
+from typing import Union
+
+
+class WorldPlayResult:
+    def __init__(
+        self,
+        *,
+        play_rating: Union[Decimal, str, float, int],
+        partner_step: Union[Decimal, str, float, int],
+    ):
+        self.__play_rating = play_rating
+        self.__partner_step = partner_step
+
+    @property
+    def play_rating(self):
+        return Decimal(self.__play_rating)
+
+    @property
+    def partner_step(self):
+        return Decimal(self.__partner_step)
+
+
+class PartnerBonus:
+    def __init__(
+        self,
+        *,
+        step_bonus: Union[Decimal, str, float, int] = Decimal("0.0"),
+        final_multiplier: Union[Decimal, str, float, int] = Decimal("1.0"),
+    ):
+        self.__step_bonus = step_bonus
+        self.__final_multiplier = final_multiplier
+
+    @property
+    def step_bonus(self):
+        return Decimal(self.__step_bonus)
+
+    @property
+    def final_multiplier(self):
+        return Decimal(self.__final_multiplier)
+
+
+class StepBooster:
+    def final_value(self) -> Decimal:
+        raise NotImplementedError()
+
+
+class MemoriesStepBooster(StepBooster):
+    def final_value(self) -> Decimal:
+        return Decimal("4.0")

src/arcaea_offline/calculators/world/legacy.py

@@ -0,0 +1,45 @@
+from decimal import Decimal
+from typing import Literal
+
+from ._common import StepBooster
+
+
+class LegacyMapStepBooster(StepBooster):
+    def __init__(
+        self,
+        stamina: Literal[2, 4, 6],
+        fragments: Literal[100, 250, 500, None],
+    ):
+        self.stamina = stamina
+        self.fragments = fragments
+
+    @property
+    def stamina(self):
+        return self.__stamina
+
+    @stamina.setter
+    def stamina(self, value: Literal[2, 4, 6]):
+        if value not in [2, 4, 6]:
+            raise ValueError("stamina can only be one of [2, 4, 6]")
+        self.__stamina = value
+
+    @property
+    def fragments(self):
+        return self.__fragments
+
+    @fragments.setter
+    def fragments(self, value: Literal[100, 250, 500, None]):
+        if value not in [100, 250, 500, None]:
+            raise ValueError("fragments can only be one of [100, 250, 500, None]")
+        self.__fragments = value
+
+    def final_value(self) -> Decimal:
+        stamina_multiplier = Decimal(self.stamina)
+        fragments_multiplier = Decimal(1)
+        if self.fragments == 100:
+            fragments_multiplier = Decimal("1.1")
+        elif self.fragments == 250:
+            fragments_multiplier = Decimal("1.25")
+        elif self.fragments == 500:
+            fragments_multiplier = Decimal("1.5")
+        return stamina_multiplier * fragments_multiplier

src/arcaea_offline/calculators/world/main.py

@@ -0,0 +1,57 @@
+from decimal import Decimal
+from typing import Optional, Union
+
+from ._common import PartnerBonus, StepBooster, WorldPlayResult
+
+
+class WorldMainMapCalculators:
+    @staticmethod
+    def step(
+        play_result: WorldPlayResult,
+        *,
+        partner_bonus: Optional[PartnerBonus] = None,
+        step_booster: Optional[StepBooster] = None,
+    ) -> Decimal:
+        ptt = play_result.play_rating
+        step = play_result.partner_step
+        if partner_bonus:
+            partner_bonus_step = partner_bonus.step_bonus
+            partner_bonus_multiplier = partner_bonus.final_multiplier
+        else:
+            partner_bonus_step = Decimal("0")
+            partner_bonus_multiplier = Decimal("1.0")
+
+        result = (Decimal("2.45") * ptt.sqrt() + Decimal("2.5")) * (step / 50)
+        result += partner_bonus_step
+        result *= partner_bonus_multiplier
+        if step_booster:
+            result *= step_booster.final_value()
+
+        return result
+
+    @staticmethod
+    def play_rating_from_step(
+        step: Union[Decimal, str, int, float],
+        partner_step_value: Union[Decimal, str, int, float],
+        *,
+        partner_bonus: Optional[PartnerBonus] = None,
+        step_booster: Optional[StepBooster] = None,
+    ):
+        step = Decimal(step)
+        partner_step_value = Decimal(partner_step_value)
+
+        # get original play result
+        if partner_bonus and partner_bonus.final_multiplier:
+            step /= partner_bonus.final_multiplier
+        if step_booster:
+            step /= step_booster.final_value()
+
+        if partner_bonus and partner_bonus.step_bonus:
+            step -= partner_bonus.step_bonus
+
+        play_rating_sqrt = (
+            Decimal(50) * step - Decimal("2.5") * partner_step_value
+        ) / (Decimal("2.45") * partner_step_value)
+        return (
+            play_rating_sqrt**2 if play_rating_sqrt >= 0 else -(play_rating_sqrt**2)
+        )

src/arcaea_offline/calculators/world/partners.py

@@ -0,0 +1,16 @@
+from ._common import PartnerBonus
+
+AwakenedIlithPartnerBonus = PartnerBonus(step_bonus="6.0")
+AwakenedEtoPartnerBonus = PartnerBonus(step_bonus="7.0")
+AwakenedLunaPartnerBonus = PartnerBonus(step_bonus="7.0")
+
+
+AmaneBelowExPartnerBonus = PartnerBonus(final_multiplier="0.5")
+
+
+class MithraTerceraPartnerBonus(PartnerBonus):
+    def __init__(self, step_bonus: int):
+        super().__init__(step_bonus=step_bonus)
+
+
+MayaPartnerBonus = PartnerBonus(final_multiplier="2.0")

tests/calculate/test_world_step.py

@@ -1,22 +0,0 @@
-from decimal import Decimal
-
-from arcaea_offline.calculate.world_step import (
-    AwakenedAyuPartnerBonus,
-    LegacyMapStepBooster,
-    PlayResult,
-    calculate_step_original,
-)
-
-
-def test_world_step():
-    # the result was copied from https://arcaea.fandom.com/wiki/World_Mode_Mechanics#Calculation
-    # CC BY-SA 3.0
-
-    booster = LegacyMapStepBooster(6, 250)
-    partner_bonus = AwakenedAyuPartnerBonus("+3.6")
-    play_result = PlayResult(play_rating=Decimal("11.299"), partner_step=92)
-    result = calculate_step_original(
-        play_result, partner_bonus=partner_bonus, step_booster=booster
-    )
-
-    assert result.quantize(Decimal("0.000")) == Decimal("175.149")

tests/calculators/test_play_result.py

@@ -0,0 +1,42 @@
+from decimal import Decimal
+
+import pytest
+
+from arcaea_offline.calculators.play_result import PlayResultCalculators
+
+
+class TestPlayResultCalculators:
+    def test_score_modifier(self):
+        # Results from https://arcaea.fandom.com/wiki/Potential#Score_Modifier
+
+        assert PlayResultCalculators.score_modifier(10000000) == Decimal("2.0")
+        assert PlayResultCalculators.score_modifier(9900000) == Decimal("1.5")
+        assert PlayResultCalculators.score_modifier(9800000) == Decimal("1.0")
+        assert PlayResultCalculators.score_modifier(9500000) == Decimal("0.0")
+        assert PlayResultCalculators.score_modifier(9200000) == Decimal("-1.0")
+        assert PlayResultCalculators.score_modifier(8900000) == Decimal("-2.0")
+        assert PlayResultCalculators.score_modifier(8600000) == Decimal("-3.0")
+
+        assert PlayResultCalculators.score_modifier(0).quantize(
+            Decimal("-0.00")
+        ) == Decimal("-31.67")
+
+        pytest.raises(ValueError, PlayResultCalculators.score_modifier, -1)
+
+        pytest.raises(TypeError, PlayResultCalculators.score_modifier, "9800000")
+        pytest.raises(TypeError, PlayResultCalculators.score_modifier, None)
+        pytest.raises(TypeError, PlayResultCalculators.score_modifier, [])
+
+    def test_play_rating(self):
+        assert PlayResultCalculators.play_rating(10002221, 120) == Decimal("14.0")
+
+        assert PlayResultCalculators.play_rating(5500000, 120) == Decimal("0.0")
+
+        pytest.raises(TypeError, PlayResultCalculators.play_rating, "10002221", 120)
+        pytest.raises(TypeError, PlayResultCalculators.play_rating, 10002221, "120")
+        pytest.raises(TypeError, PlayResultCalculators.play_rating, "10002221", "120")
+
+        pytest.raises(TypeError, PlayResultCalculators.play_rating, 10002221, None)
+
+        pytest.raises(ValueError, PlayResultCalculators.play_rating, -1, 120)
+        pytest.raises(ValueError, PlayResultCalculators.play_rating, 10002221, -1)

tests/calculators/test_world.py

@@ -0,0 +1,74 @@
+from decimal import ROUND_FLOOR, Decimal
+
+from arcaea_offline.calculators.play_result import PlayResultCalculators
+from arcaea_offline.calculators.world import (
+    LegacyMapStepBooster,
+    PartnerBonus,
+    WorldMainMapCalculators,
+    WorldPlayResult,
+)
+
+
+class TestWorldMainMapCalculators:
+    def test_step_fandom(self):
+        # Final result from https://arcaea.fandom.com/wiki/World_Mode_Mechanics#Calculation
+        # CC BY-SA 3.0
+
+        booster = LegacyMapStepBooster(6, 250)
+        partner_bonus = PartnerBonus(step_bonus="+3.6")
+        play_result = WorldPlayResult(play_rating=Decimal("11.299"), partner_step=92)
+        result = WorldMainMapCalculators.step(
+            play_result, partner_bonus=partner_bonus, step_booster=booster
+        )
+
+        assert result.quantize(Decimal("0.000")) == Decimal("175.149")
+
+    def test_step(self):
+        # Results from actual play results, Arcaea v5.5.8c
+
+        def _quantize(decimal: Decimal) -> Decimal:
+            return decimal.quantize(Decimal("0.0"), rounding=ROUND_FLOOR)
+
+        # goldenslaughter FTR [9.7], 9906968
+        # 10.7 > 34.2 < 160
+        assert _quantize(
+            WorldMainMapCalculators.step(
+                WorldPlayResult(
+                    play_rating=PlayResultCalculators.play_rating(9906968, 97),
+                    partner_step=160,
+                )
+            )
+        ) == Decimal("34.2")
+
+        # Luna Rossa FTR [9.7], 9984569
+        # 10.8 > 34.7 < 160
+        assert _quantize(
+            WorldMainMapCalculators.step(
+                WorldPlayResult(
+                    play_rating=PlayResultCalculators.play_rating(9984569, 97),
+                    partner_step=160,
+                )
+            )
+        ) == Decimal("34.7")
+
+        # ultradiaxon-N3 FTR [10.5], 9349575
+        # 10.2 > 32.7 < 160
+        assert _quantize(
+            WorldMainMapCalculators.step(
+                WorldPlayResult(
+                    play_rating=PlayResultCalculators.play_rating(9349575, 105),
+                    partner_step=160,
+                )
+            )
+        ) == Decimal("32.7")
+
+        # san skia FTR [8.3], 10001036
+        # 10.3 > 64.2 < 310
+        assert _quantize(
+            WorldMainMapCalculators.step(
+                WorldPlayResult(
+                    play_rating=PlayResultCalculators.play_rating(10001036, 83),
+                    partner_step=310,
+                )
+            )
+        ) == Decimal("64.2")