}
    double xSumOfSquaresOfDeltas = xStats.sumOfSquaresOfDeltas();
    if (xSumOfSquaresOfDeltas > 0.0) {
      if (yStats.sumOfSquaresOfDeltas() > 0.0) {
        return LinearTransformation.mapping(xStats.mean(), yStats.mean())
            .withSlope(sumOfProductsOfDeltas / xSumOfSquaresOfDeltas);
      } else {
        return LinearTransformation.horizontal(yStats.mean());
      }
    } else {

from typing import Annotated

import pytest
from fastapi import FastAPI, Query
from fastapi.exceptions import FastAPIDeprecationWarning
from fastapi.testclient import TestClient

from .utils import needs_py310


def get_client():
    app = FastAPI()
    with pytest.warns(FastAPIDeprecationWarning):

        @app.get("/items/")
        async def read_items(
            q: Annotated[str | None, Query(regex="^fixedquery$")] = None,

      // ensure reader was closed IF it was opened (depends on implementation whether or not it's
      // opened at all if sink.newWriter() throws).
      assertTrue(
          "stream not closed when copying to sink with option: " + option,
          !okSource.wasStreamOpened() || okSource.wasStreamClosed());
    }
  }

  public void testClosesOnErrors_whenReadThrows() {

import java.util.Collection;
import java.util.Map;
import java.util.Map.Entry;
import java.util.NoSuchElementException;
import java.util.function.BiFunction;
import org.jspecify.annotations.Nullable;

/**
 * A mapping from disjoint nonempty ranges to non-null values. Queries look up the value associated
 * with the range (if any) that contains a specified key.
 *
 * <p>In contrast to {@link RangeSet}, no "coalescing" is done of {@linkplain

import org.apache.maven.api.services.LookupException;
import org.apache.maven.api.spi.ExtensibleEnumProvider;
import org.apache.maven.api.spi.LifecycleProvider;
import org.apache.maven.lifecycle.mapping.LifecyclePhase;
import org.codehaus.plexus.PlexusContainer;
import org.codehaus.plexus.component.repository.exception.ComponentLookupException;

import static org.apache.maven.api.Lifecycle.AFTER;

from typing import Union

from fastapi import Depends, FastAPI, HTTPException, Query
from sqlmodel import Field, Session, SQLModel, create_engine, select


class HeroBase(SQLModel):
    name: str = Field(index=True)
    age: Union[int, None] = Field(default=None, index=True)


class Hero(HeroBase, table=True):
    id: Union[int, None] = Field(default=None, primary_key=True)
    secret_name: str


class HeroPublic(HeroBase):

from typing import Annotated, Union

from fastapi import FastAPI, Form
from fastapi.testclient import TestClient
from pydantic import BaseModel

app = FastAPI()


class UserForm(BaseModel):
    name: str
    email: str


class CompanyForm(BaseModel):
    company_name: str
    industry: str


@app.post("/form-union/")
def post_union_form(data: Annotated[Union[UserForm, CompanyForm], Form()]):

}

// Map returns a copy of the byte slice s with all its characters modified
// according to the mapping function. If mapping returns a negative value, the character is
// dropped from the byte slice with no replacement. The characters in s and the
// output are interpreted as UTF-8-encoded code points.
func Map(mapping func(r rune) rune, s []byte) []byte {
	// In the worst case, the slice can grow when mapped, making

  // The highest index we've seen so far.
  private int max = -1;

  /** Construct a new sparse array builder. */
  public CharEscaperBuilder() {
    this.map = new HashMap<>();
  }

  /** Add a new mapping from an index to an object to the escaping. */
  @CanIgnoreReturnValue
  public CharEscaperBuilder addEscape(char c, String r) {
    map.put(c, checkNotNull(r));
    if (c > max) {
      max = c;
    }

/**
 * will also strip BOM from the source
 */
@Throws(IOException::class)
internal fun BufferedSource.readBomAsCharset(default: Charset): Charset =
  when (select(UNICODE_BOMS)) {
    // a mapping from the index of encoding methods in UNICODE_BOMS to its corresponding encoding method
    0 -> UTF_8
    1 -> UTF_16BE
    2 -> UTF_32LE
    3 -> UTF_16LE
    4 -> UTF_32BE
    -1 -> default