Code/net/minecraft/util/Mth.java

package net.minecraft.util;

import java.util.Locale;
import java.util.UUID;
import java.util.function.IntPredicate;
import java.util.stream.IntStream;
import net.minecraft.Util;
import net.minecraft.core.Vec3i;
import net.minecraft.world.phys.AABB;
import net.minecraft.world.phys.Vec3;
import org.apache.commons.lang3.math.Fraction;
import org.apache.commons.lang3.math.NumberUtils;
import org.joml.Quaternionf;
import org.joml.Vector3f;

public class Mth {
    private static final long UUID_VERSION = 61440L;
    private static final long UUID_VERSION_TYPE_4 = 16384L;
    private static final long UUID_VARIANT = -4611686018427387904L;
    private static final long UUID_VARIANT_2 = Long.MIN_VALUE;
    public static final float PI = (float) Math.PI;
    public static final float HALF_PI = (float) (Math.PI / 2);
    public static final float TWO_PI = (float) (Math.PI * 2);
    public static final float DEG_TO_RAD = (float) (Math.PI / 180.0);
    public static final float RAD_TO_DEG = 180.0F / (float)Math.PI;
    public static final float EPSILON = 1.0E-5F;
    public static final float SQRT_OF_TWO = sqrt(2.0F);
    private static final float SIN_SCALE = 10430.378F;
    public static final Vector3f Y_AXIS = new Vector3f(0.0F, 1.0F, 0.0F);
    public static final Vector3f X_AXIS = new Vector3f(1.0F, 0.0F, 0.0F);
    public static final Vector3f Z_AXIS = new Vector3f(0.0F, 0.0F, 1.0F);
    private static final float[] SIN = Util.make(new float[65536], p_14077_ -> {
        for (int i = 0; i < p_14077_.length; i++) {
            p_14077_[i] = (float)Math.sin(i * Math.PI * 2.0 / 65536.0);
        }
    });
    private static final RandomSource RANDOM = RandomSource.createThreadSafe();
    private static final int[] MULTIPLY_DE_BRUIJN_BIT_POSITION = new int[]{
        0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8, 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9
    };
    private static final double ONE_SIXTH = 0.16666666666666666;
    private static final int FRAC_EXP = 8;
    private static final int LUT_SIZE = 257;
    private static final double FRAC_BIAS = Double.longBitsToDouble(4805340802404319232L);
    private static final double[] ASIN_TAB = new double[257];
    private static final double[] COS_TAB = new double[257];

    public static float sin(float p_14032_) {
        return SIN[(int)(p_14032_ * 10430.378F) & 65535];
    }

    public static float cos(float p_14090_) {
        return SIN[(int)(p_14090_ * 10430.378F + 16384.0F) & 65535];
    }

    public static float sqrt(float p_14117_) {
        return (float)Math.sqrt(p_14117_);
    }

    public static int floor(float p_14144_) {
        int i = (int)p_14144_;
        return p_14144_ < i ? i - 1 : i;
    }

    public static int floor(double p_14108_) {
        int i = (int)p_14108_;
        return p_14108_ < i ? i - 1 : i;
    }

    public static long lfloor(double p_14135_) {
        long i = (long)p_14135_;
        return p_14135_ < i ? i - 1L : i;
    }

    public static float abs(float p_14155_) {
        return Math.abs(p_14155_);
    }

    public static int abs(int p_14041_) {
        return Math.abs(p_14041_);
    }

    public static int ceil(float p_14168_) {
        int i = (int)p_14168_;
        return p_14168_ > i ? i + 1 : i;
    }

    public static int ceil(double p_14166_) {
        int i = (int)p_14166_;
        return p_14166_ > i ? i + 1 : i;
    }

    public static int clamp(int p_14046_, int p_14047_, int p_14048_) {
        return Math.min(Math.max(p_14046_, p_14047_), p_14048_);
    }

    public static long clamp(long p_300696_, long p_298059_, long p_299237_) {
        return Math.min(Math.max(p_300696_, p_298059_), p_299237_);
    }

    public static float clamp(float p_14037_, float p_14038_, float p_14039_) {
        return p_14037_ < p_14038_ ? p_14038_ : Math.min(p_14037_, p_14039_);
    }

    public static double clamp(double p_14009_, double p_14010_, double p_14011_) {
        return p_14009_ < p_14010_ ? p_14010_ : Math.min(p_14009_, p_14011_);
    }

    public static double clampedLerp(double p_14086_, double p_14087_, double p_14088_) {
        if (p_14088_ < 0.0) {
            return p_14086_;
        } else {
            return p_14088_ > 1.0 ? p_14087_ : lerp(p_14088_, p_14086_, p_14087_);
        }
    }

    public static float clampedLerp(float p_144921_, float p_144922_, float p_144923_) {
        if (p_144923_ < 0.0F) {
            return p_144921_;
        } else {
            return p_144923_ > 1.0F ? p_144922_ : lerp(p_144923_, p_144921_, p_144922_);
        }
    }

    public static double absMax(double p_14006_, double p_14007_) {
        if (p_14006_ < 0.0) {
            p_14006_ = -p_14006_;
        }

        if (p_14007_ < 0.0) {
            p_14007_ = -p_14007_;
        }

        return Math.max(p_14006_, p_14007_);
    }

    public static int floorDiv(int p_14043_, int p_14044_) {
        return Math.floorDiv(p_14043_, p_14044_);
    }

    public static int nextInt(RandomSource p_216272_, int p_216273_, int p_216274_) {
        return p_216273_ >= p_216274_ ? p_216273_ : p_216272_.nextInt(p_216274_ - p_216273_ + 1) + p_216273_;
    }

    public static float nextFloat(RandomSource p_216268_, float p_216269_, float p_216270_) {
        return p_216269_ >= p_216270_ ? p_216269_ : p_216268_.nextFloat() * (p_216270_ - p_216269_) + p_216269_;
    }

    public static double nextDouble(RandomSource p_216264_, double p_216265_, double p_216266_) {
        return p_216265_ >= p_216266_ ? p_216265_ : p_216264_.nextDouble() * (p_216266_ - p_216265_) + p_216265_;
    }

    public static boolean equal(float p_14034_, float p_14035_) {
        return Math.abs(p_14035_ - p_14034_) < 1.0E-5F;
    }

    public static boolean equal(double p_14083_, double p_14084_) {
        return Math.abs(p_14084_ - p_14083_) < 1.0E-5F;
    }

    public static int positiveModulo(int p_14101_, int p_14102_) {
        return Math.floorMod(p_14101_, p_14102_);
    }

    public static float positiveModulo(float p_14092_, float p_14093_) {
        return (p_14092_ % p_14093_ + p_14093_) % p_14093_;
    }

    public static double positiveModulo(double p_14110_, double p_14111_) {
        return (p_14110_ % p_14111_ + p_14111_) % p_14111_;
    }

    public static boolean isMultipleOf(int p_265754_, int p_265543_) {
        return p_265754_ % p_265543_ == 0;
    }

    public static byte packDegrees(float p_362809_) {
        return (byte)floor(p_362809_ * 256.0F / 360.0F);
    }

    public static float unpackDegrees(byte p_363805_) {
        return p_363805_ * 360 / 256.0F;
    }

    public static int wrapDegrees(int p_14099_) {
        int i = p_14099_ % 360;
        if (i >= 180) {
            i -= 360;
        }

        if (i < -180) {
            i += 360;
        }

        return i;
    }

    public static float wrapDegrees(long p_367823_) {
        float f = (float)(p_367823_ % 360L);
        if (f >= 180.0F) {
            f -= 360.0F;
        }

        if (f < -180.0F) {
            f += 360.0F;
        }

        return f;
    }

    public static float wrapDegrees(float p_14178_) {
        float f = p_14178_ % 360.0F;
        if (f >= 180.0F) {
            f -= 360.0F;
        }

        if (f < -180.0F) {
            f += 360.0F;
        }

        return f;
    }

    public static double wrapDegrees(double p_14176_) {
        double d0 = p_14176_ % 360.0;
        if (d0 >= 180.0) {
            d0 -= 360.0;
        }

        if (d0 < -180.0) {
            d0 += 360.0;
        }

        return d0;
    }

    public static float degreesDifference(float p_14119_, float p_14120_) {
        return wrapDegrees(p_14120_ - p_14119_);
    }

    public static float degreesDifferenceAbs(float p_14146_, float p_14147_) {
        return abs(degreesDifference(p_14146_, p_14147_));
    }

    public static float rotateIfNecessary(float p_14095_, float p_14096_, float p_14097_) {
        float f = degreesDifference(p_14095_, p_14096_);
        float f1 = clamp(f, -p_14097_, p_14097_);
        return p_14096_ - f1;
    }

    public static float approach(float p_14122_, float p_14123_, float p_14124_) {
        p_14124_ = abs(p_14124_);
        return p_14122_ < p_14123_ ? clamp(p_14122_ + p_14124_, p_14122_, p_14123_) : clamp(p_14122_ - p_14124_, p_14123_, p_14122_);
    }

    public static float approachDegrees(float p_14149_, float p_14150_, float p_14151_) {
        float f = degreesDifference(p_14149_, p_14150_);
        return approach(p_14149_, p_14149_ + f, p_14151_);
    }

    public static int getInt(String p_14060_, int p_14061_) {
        return NumberUtils.toInt(p_14060_, p_14061_);
    }

    public static int smallestEncompassingPowerOfTwo(int p_14126_) {
        int i = p_14126_ - 1;
        i |= i >> 1;
        i |= i >> 2;
        i |= i >> 4;
        i |= i >> 8;
        i |= i >> 16;
        return i + 1;
    }

    public static boolean isPowerOfTwo(int p_14153_) {
        return p_14153_ != 0 && (p_14153_ & p_14153_ - 1) == 0;
    }

    public static int ceillog2(int p_14164_) {
        p_14164_ = isPowerOfTwo(p_14164_) ? p_14164_ : smallestEncompassingPowerOfTwo(p_14164_);
        return MULTIPLY_DE_BRUIJN_BIT_POSITION[(int)(p_14164_ * 125613361L >> 27) & 31];
    }

    public static int log2(int p_14174_) {
        return ceillog2(p_14174_) - (isPowerOfTwo(p_14174_) ? 0 : 1);
    }

    public static float frac(float p_14188_) {
        return p_14188_ - floor(p_14188_);
    }

    public static double frac(double p_14186_) {
        return p_14186_ - lfloor(p_14186_);
    }

    @Deprecated
    public static long getSeed(Vec3i p_14058_) {
        return getSeed(p_14058_.getX(), p_14058_.getY(), p_14058_.getZ());
    }

    @Deprecated
    public static long getSeed(int p_14131_, int p_14132_, int p_14133_) {
        long i = p_14131_ * 3129871 ^ p_14133_ * 116129781L ^ p_14132_;
        i = i * i * 42317861L + i * 11L;
        return i >> 16;
    }

    public static UUID createInsecureUUID(RandomSource p_216262_) {
        long i = p_216262_.nextLong() & -61441L | 16384L;
        long j = p_216262_.nextLong() & 4611686018427387903L | Long.MIN_VALUE;
        return new UUID(i, j);
    }

    public static UUID createInsecureUUID() {
        return createInsecureUUID(RANDOM);
    }

    public static double inverseLerp(double p_14113_, double p_14114_, double p_14115_) {
        return (p_14113_ - p_14114_) / (p_14115_ - p_14114_);
    }

    public static float inverseLerp(float p_184656_, float p_184657_, float p_184658_) {
        return (p_184656_ - p_184657_) / (p_184658_ - p_184657_);
    }

    public static boolean rayIntersectsAABB(Vec3 p_144889_, Vec3 p_144890_, AABB p_144891_) {
        double d0 = (p_144891_.minX + p_144891_.maxX) * 0.5;
        double d1 = (p_144891_.maxX - p_144891_.minX) * 0.5;
        double d2 = p_144889_.x - d0;
        if (Math.abs(d2) > d1 && d2 * p_144890_.x >= 0.0) {
            return false;
        } else {
            double d3 = (p_144891_.minY + p_144891_.maxY) * 0.5;
            double d4 = (p_144891_.maxY - p_144891_.minY) * 0.5;
            double d5 = p_144889_.y - d3;
            if (Math.abs(d5) > d4 && d5 * p_144890_.y >= 0.0) {
                return false;
            } else {
                double d6 = (p_144891_.minZ + p_144891_.maxZ) * 0.5;
                double d7 = (p_144891_.maxZ - p_144891_.minZ) * 0.5;
                double d8 = p_144889_.z - d6;
                if (Math.abs(d8) > d7 && d8 * p_144890_.z >= 0.0) {
                    return false;
                } else {
                    double d9 = Math.abs(p_144890_.x);
                    double d10 = Math.abs(p_144890_.y);
                    double d11 = Math.abs(p_144890_.z);
                    double d12 = p_144890_.y * d8 - p_144890_.z * d5;
                    if (Math.abs(d12) > d4 * d11 + d7 * d10) {
                        return false;
                    } else {
                        d12 = p_144890_.z * d2 - p_144890_.x * d8;
                        if (Math.abs(d12) > d1 * d11 + d7 * d9) {
                            return false;
                        } else {
                            d12 = p_144890_.x * d5 - p_144890_.y * d2;
                            return Math.abs(d12) < d1 * d10 + d4 * d9;
                        }
                    }
                }
            }
        }
    }

    public static double atan2(double p_14137_, double p_14138_) {
        double d0 = p_14138_ * p_14138_ + p_14137_ * p_14137_;
        if (Double.isNaN(d0)) {
            return Double.NaN;
        } else {
            boolean flag = p_14137_ < 0.0;
            if (flag) {
                p_14137_ = -p_14137_;
            }

            boolean flag1 = p_14138_ < 0.0;
            if (flag1) {
                p_14138_ = -p_14138_;
            }

            boolean flag2 = p_14137_ > p_14138_;
            if (flag2) {
                double d1 = p_14138_;
                p_14138_ = p_14137_;
                p_14137_ = d1;
            }

            double d9 = fastInvSqrt(d0);
            p_14138_ *= d9;
            p_14137_ *= d9;
            double d2 = FRAC_BIAS + p_14137_;
            int i = (int)Double.doubleToRawLongBits(d2);
            double d3 = ASIN_TAB[i];
            double d4 = COS_TAB[i];
            double d5 = d2 - FRAC_BIAS;
            double d6 = p_14137_ * d4 - p_14138_ * d5;
            double d7 = (6.0 + d6 * d6) * d6 * 0.16666666666666666;
            double d8 = d3 + d7;
            if (flag2) {
                d8 = (Math.PI / 2) - d8;
            }

            if (flag1) {
                d8 = Math.PI - d8;
            }

            if (flag) {
                d8 = -d8;
            }

            return d8;
        }
    }

    public static float invSqrt(float p_265060_) {
        return org.joml.Math.invsqrt(p_265060_);
    }

    public static double invSqrt(double p_265088_) {
        return org.joml.Math.invsqrt(p_265088_);
    }

    @Deprecated
    public static double fastInvSqrt(double p_14194_) {
        double d0 = 0.5 * p_14194_;
        long i = Double.doubleToRawLongBits(p_14194_);
        i = 6910469410427058090L - (i >> 1);
        p_14194_ = Double.longBitsToDouble(i);
        return p_14194_ * (1.5 - d0 * p_14194_ * p_14194_);
    }

    public static float fastInvCubeRoot(float p_14200_) {
        int i = Float.floatToIntBits(p_14200_);
        i = 1419967116 - i / 3;
        float f = Float.intBitsToFloat(i);
        f = 0.6666667F * f + 1.0F / (3.0F * f * f * p_14200_);
        return 0.6666667F * f + 1.0F / (3.0F * f * f * p_14200_);
    }

    public static int hsvToRgb(float p_14170_, float p_14171_, float p_14172_) {
        return hsvToArgb(p_14170_, p_14171_, p_14172_, 0);
    }

    public static int hsvToArgb(float p_343715_, float p_343707_, float p_342108_, int p_343055_) {
        int i = (int)(p_343715_ * 6.0F) % 6;
        float f = p_343715_ * 6.0F - i;
        float f1 = p_342108_ * (1.0F - p_343707_);
        float f2 = p_342108_ * (1.0F - f * p_343707_);
        float f3 = p_342108_ * (1.0F - (1.0F - f) * p_343707_);
        float f4;
        float f5;
        float f6;
        switch (i) {
            case 0:
                f4 = p_342108_;
                f5 = f3;
                f6 = f1;
                break;
            case 1:
                f4 = f2;
                f5 = p_342108_;
                f6 = f1;
                break;
            case 2:
                f4 = f1;
                f5 = p_342108_;
                f6 = f3;
                break;
            case 3:
                f4 = f1;
                f5 = f2;
                f6 = p_342108_;
                break;
            case 4:
                f4 = f3;
                f5 = f1;
                f6 = p_342108_;
                break;
            case 5:
                f4 = p_342108_;
                f5 = f1;
                f6 = f2;
                break;
            default:
                throw new RuntimeException("Something went wrong when converting from HSV to RGB. Input was " + p_343715_ + ", " + p_343707_ + ", " + p_342108_);
        }

        return ARGB.color(p_343055_, clamp((int)(f4 * 255.0F), 0, 255), clamp((int)(f5 * 255.0F), 0, 255), clamp((int)(f6 * 255.0F), 0, 255));
    }

    public static int murmurHash3Mixer(int p_14184_) {
        p_14184_ ^= p_14184_ >>> 16;
        p_14184_ *= -2048144789;
        p_14184_ ^= p_14184_ >>> 13;
        p_14184_ *= -1028477387;
        return p_14184_ ^ p_14184_ >>> 16;
    }

    public static int binarySearch(int p_14050_, int p_14051_, IntPredicate p_14052_) {
        int i = p_14051_ - p_14050_;

        while (i > 0) {
            int j = i / 2;
            int k = p_14050_ + j;
            if (p_14052_.test(k)) {
                i = j;
            } else {
                p_14050_ = k + 1;
                i -= j + 1;
            }
        }

        return p_14050_;
    }

    public static int lerpInt(float p_270245_, int p_270597_, int p_270301_) {
        return p_270597_ + floor(p_270245_ * (p_270301_ - p_270597_));
    }

    public static int lerpDiscrete(float p_298397_, int p_298459_, int p_300125_) {
        int i = p_300125_ - p_298459_;
        return p_298459_ + floor(p_298397_ * (i - 1)) + (p_298397_ > 0.0F ? 1 : 0);
    }

    public static float lerp(float p_14180_, float p_14181_, float p_14182_) {
        return p_14181_ + p_14180_ * (p_14182_ - p_14181_);
    }

    public static Vec3 lerp(double p_364482_, Vec3 p_369943_, Vec3 p_369682_) {
        return new Vec3(
            lerp(p_364482_, p_369943_.x, p_369682_.x),
            lerp(p_364482_, p_369943_.y, p_369682_.y),
            lerp(p_364482_, p_369943_.z, p_369682_.z)
        );
    }

    public static double lerp(double p_14140_, double p_14141_, double p_14142_) {
        return p_14141_ + p_14140_ * (p_14142_ - p_14141_);
    }

    public static double lerp2(double p_14013_, double p_14014_, double p_14015_, double p_14016_, double p_14017_, double p_14018_) {
        return lerp(p_14014_, lerp(p_14013_, p_14015_, p_14016_), lerp(p_14013_, p_14017_, p_14018_));
    }

    public static double lerp3(
        double p_14020_,
        double p_14021_,
        double p_14022_,
        double p_14023_,
        double p_14024_,
        double p_14025_,
        double p_14026_,
        double p_14027_,
        double p_14028_,
        double p_14029_,
        double p_14030_
    ) {
        return lerp(
            p_14022_,
            lerp2(p_14020_, p_14021_, p_14023_, p_14024_, p_14025_, p_14026_),
            lerp2(p_14020_, p_14021_, p_14027_, p_14028_, p_14029_, p_14030_)
        );
    }

    public static float catmullrom(float p_216245_, float p_216246_, float p_216247_, float p_216248_, float p_216249_) {
        return 0.5F
            * (
                2.0F * p_216247_
                    + (p_216248_ - p_216246_) * p_216245_
                    + (2.0F * p_216246_ - 5.0F * p_216247_ + 4.0F * p_216248_ - p_216249_) * p_216245_ * p_216245_
                    + (3.0F * p_216247_ - p_216246_ - 3.0F * p_216248_ + p_216249_) * p_216245_ * p_216245_ * p_216245_
            );
    }

    public static double smoothstep(double p_14198_) {
        return p_14198_ * p_14198_ * p_14198_ * (p_14198_ * (p_14198_ * 6.0 - 15.0) + 10.0);
    }

    public static double smoothstepDerivative(double p_144947_) {
        return 30.0 * p_144947_ * p_144947_ * (p_144947_ - 1.0) * (p_144947_ - 1.0);
    }

    public static int sign(double p_14206_) {
        if (p_14206_ == 0.0) {
            return 0;
        } else {
            return p_14206_ > 0.0 ? 1 : -1;
        }
    }

    public static float rotLerp(float p_14190_, float p_14191_, float p_14192_) {
        return p_14191_ + p_14190_ * wrapDegrees(p_14192_ - p_14191_);
    }

    public static double rotLerp(double p_299352_, double p_301019_, double p_299027_) {
        return p_301019_ + p_299352_ * wrapDegrees(p_299027_ - p_301019_);
    }

    public static float rotLerpRad(float p_368518_, float p_366477_, float p_363810_) {
        float f = p_363810_ - p_366477_;

        while (f < (float) -Math.PI) {
            f += (float) (Math.PI * 2);
        }

        while (f >= (float) Math.PI) {
            f -= (float) (Math.PI * 2);
        }

        return p_366477_ + p_368518_ * f;
    }

    public static float triangleWave(float p_14157_, float p_14158_) {
        return (Math.abs(p_14157_ % p_14158_ - p_14158_ * 0.5F) - p_14158_ * 0.25F) / (p_14158_ * 0.25F);
    }

    public static float square(float p_14208_) {
        return p_14208_ * p_14208_;
    }

    public static double square(double p_144953_) {
        return p_144953_ * p_144953_;
    }

    public static int square(int p_144945_) {
        return p_144945_ * p_144945_;
    }

    public static long square(long p_184644_) {
        return p_184644_ * p_184644_;
    }

    public static double clampedMap(double p_144852_, double p_144853_, double p_144854_, double p_144855_, double p_144856_) {
        return clampedLerp(p_144855_, p_144856_, inverseLerp(p_144852_, p_144853_, p_144854_));
    }

    public static float clampedMap(float p_184632_, float p_184633_, float p_184634_, float p_184635_, float p_184636_) {
        return clampedLerp(p_184635_, p_184636_, inverseLerp(p_184632_, p_184633_, p_184634_));
    }

    public static double map(double p_144915_, double p_144916_, double p_144917_, double p_144918_, double p_144919_) {
        return lerp(inverseLerp(p_144915_, p_144916_, p_144917_), p_144918_, p_144919_);
    }

    public static float map(float p_184638_, float p_184639_, float p_184640_, float p_184641_, float p_184642_) {
        return lerp(inverseLerp(p_184638_, p_184639_, p_184640_), p_184641_, p_184642_);
    }

    public static double wobble(double p_144955_) {
        return p_144955_ + (2.0 * RandomSource.create(floor(p_144955_ * 3000.0)).nextDouble() - 1.0) * 1.0E-7 / 2.0;
    }

    public static int roundToward(int p_144942_, int p_144943_) {
        return positiveCeilDiv(p_144942_, p_144943_) * p_144943_;
    }

    public static int positiveCeilDiv(int p_184653_, int p_184654_) {
        return -Math.floorDiv(-p_184653_, p_184654_);
    }

    public static int randomBetweenInclusive(RandomSource p_216288_, int p_216289_, int p_216290_) {
        return p_216288_.nextInt(p_216290_ - p_216289_ + 1) + p_216289_;
    }

    public static float randomBetween(RandomSource p_216284_, float p_216285_, float p_216286_) {
        return p_216284_.nextFloat() * (p_216286_ - p_216285_) + p_216285_;
    }

    public static float normal(RandomSource p_216292_, float p_216293_, float p_216294_) {
        return p_216293_ + (float)p_216292_.nextGaussian() * p_216294_;
    }

    public static double lengthSquared(double p_211590_, double p_211591_) {
        return p_211590_ * p_211590_ + p_211591_ * p_211591_;
    }

    public static double length(double p_184646_, double p_184647_) {
        return Math.sqrt(lengthSquared(p_184646_, p_184647_));
    }

    public static float length(float p_366616_, float p_361952_) {
        return (float)Math.sqrt(lengthSquared(p_366616_, p_361952_));
    }

    public static double lengthSquared(double p_211593_, double p_211594_, double p_211595_) {
        return p_211593_ * p_211593_ + p_211594_ * p_211594_ + p_211595_ * p_211595_;
    }

    public static double length(double p_184649_, double p_184650_, double p_184651_) {
        return Math.sqrt(lengthSquared(p_184649_, p_184650_, p_184651_));
    }

    public static float lengthSquared(float p_343908_, float p_343799_, float p_344922_) {
        return p_343908_ * p_343908_ + p_343799_ * p_343799_ + p_344922_ * p_344922_;
    }

    public static int quantize(double p_184629_, int p_184630_) {
        return floor(p_184629_ / p_184630_) * p_184630_;
    }

    public static IntStream outFromOrigin(int p_216296_, int p_216297_, int p_216298_) {
        return outFromOrigin(p_216296_, p_216297_, p_216298_, 1);
    }

    public static IntStream outFromOrigin(int p_216251_, int p_216252_, int p_216253_, int p_216254_) {
        if (p_216252_ > p_216253_) {
            throw new IllegalArgumentException(String.format(Locale.ROOT, "upperbound %d expected to be > lowerBound %d", p_216253_, p_216252_));
        } else if (p_216254_ < 1) {
            throw new IllegalArgumentException(String.format(Locale.ROOT, "steps expected to be >= 1, was %d", p_216254_));
        } else {
            return p_216251_ >= p_216252_ && p_216251_ <= p_216253_ ? IntStream.iterate(p_216251_, p_216282_ -> {
                int i = Math.abs(p_216251_ - p_216282_);
                return p_216251_ - i >= p_216252_ || p_216251_ + i <= p_216253_;
            }, p_216260_ -> {
                boolean flag = p_216260_ <= p_216251_;
                int i = Math.abs(p_216251_ - p_216260_);
                boolean flag1 = p_216251_ + i + p_216254_ <= p_216253_;
                if (!flag || !flag1) {
                    int j = p_216251_ - i - (flag ? p_216254_ : 0);
                    if (j >= p_216252_) {
                        return j;
                    }
                }

                return p_216251_ + i + p_216254_;
            }) : IntStream.empty();
        }
    }

    public static Quaternionf rotationAroundAxis(Vector3f p_311556_, Quaternionf p_311192_, Quaternionf p_310462_) {
        float f = p_311556_.dot(p_311192_.x, p_311192_.y, p_311192_.z);
        return p_310462_.set(p_311556_.x * f, p_311556_.y * f, p_311556_.z * f, p_311192_.w).normalize();
    }

    public static int mulAndTruncate(Fraction p_331603_, int p_334561_) {
        return p_331603_.getNumerator() * p_334561_ / p_331603_.getDenominator();
    }

    public static float easeInOutSine(float p_370041_) {
        return -(cos((float) Math.PI * p_370041_) - 1.0F) / 2.0F;
    }

    static {
        for (int i = 0; i < 257; i++) {
            double d0 = i / 256.0;
            double d1 = Math.asin(d0);
            COS_TAB[i] = Math.cos(d1);
            ASIN_TAB[i] = d1;
        }
    }
}