openapi: 3.2.0
info:
  title: APIVerve Math/Calculations API
  description: One API key, 370+ real-world REST endpoints — weather, geocoding, finance, DNS, validation, text processing and more. Every endpoint returns JSON. Full documentation at https://docs.apiverve.com.
  termsOfService: https://apiverve.com/terms/
  contact:
    name: APIVerve Support
    email: hello@apiverve.com
    url: https://apiverve.com/contact
  license:
    name: APIVerve Terms of Service
    url: https://apiverve.com/terms/
  version: 1.0.0
  x-logo:
    url: https://apiverve.com/images/favicon.png
    altText: APIVerve
servers:
- url: https://api.apiverve.com
security:
- api_key: []
tags:
- name: Math/Calculations
paths:
  /v1/colorsimilarity:
    get:
      summary: Color Similarity Calculator
      description: Calculate similarity between two hex colors
      operationId: colorsimilarity
      parameters:
      - name: color1
        in: query
        schema:
          type: string
        required: true
        description: 'First hex color value (with or without # prefix)'
        example: FF5733
      - name: color2
        in: query
        schema:
          type: string
        required: true
        description: 'Second hex color value (with or without # prefix)'
        example: FF6B47
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  color1:
                    hex: '#FF5733'
                    rgb:
                      r: 255
                      g: 87
                      b: 51
                    hsl:
                      h: 10.6
                      s: 100
                      l: 60
                  color2:
                    hex: '#FF6B47'
                    rgb:
                      r: 255
                      g: 107
                      b: 71
                    hsl:
                      h: 11.7
                      s: 100
                      l: 63.9
                  rgb_distance: 28.28
                  rgb_similarity: 93.6
                  hsl_similarity: 97.71
                  overall_similarity: 95.65
                  delta_e: 28.28
                  hue_difference: 1.15
                  saturation_difference: 0
                  lightness_difference: 3.92
                  similarity_category: nearly identical
                  are_identical: false
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/daylightduration:
    get:
      summary: Daylight Duration Calculator
      description: Calculate sunrise, sunset, and daylight hours for a location
      operationId: daylightduration
      parameters:
      - name: latitude
        in: query
        schema:
          type: number
        required: true
        description: Latitude of the location
        example: 40.7128
      - name: longitude
        in: query
        schema:
          type: number
        required: true
        description: Longitude of the location
        example: -74.006
      - name: date
        in: query
        schema:
          type: string
        required: false
        description: Date in YYYY-MM-DD format (defaults to today)
        example: '2024-06-21'
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  date: '2024-06-21'
                  location:
                    latitude: 40.7128
                    longitude: -74.006
                  condition: Normal
                  description: Standard sunrise and sunset
                  sunrise: 09:25:09
                  sunset: '24:30:44'
                  daylight_duration:
                    total_minutes: 905.58
                    hours: 15
                    minutes: 5
                    formatted: '15:05:00'
                  day_of_year: 173
                  is_valid: true
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/fibonaccigenerator:
    get:
      summary: Fibonacci Generator
      description: Generate a specific number of Fibonacci numbers
      operationId: fibonaccigenerator
      parameters:
      - name: count
        in: query
        schema:
          type: integer
        required: true
        description: Number of Fibonacci numbers to generate
        example: 10
      - name: startfrom
        in: query
        schema:
          type: integer
        required: false
        description: Start from this position in the sequence
        example: 0
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  sequence:
                  - 0
                  - 1
                  - 1
                  - 2
                  - 3
                  - 5
                  - 8
                  - 13
                  - 21
                  - 34
                  count: 10
                  start_from: 0
                  first_value: 0
                  last_value: 34
                  sum: 88
                  ratios:
                  - 1.666667
                  - 1.6
                  - 1.625
                  - 1.615385
                  - 1.619048
                  golden_ratio_approximation: 1.619048
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/permutationcombination:
    get:
      summary: Permutation & Combination Calculator
      description: Calculate P(n,r) and C(n,r) values
      operationId: permutationcombination
      parameters:
      - name: n
        in: query
        schema:
          type: integer
        required: true
        description: Total number of items
        example: 10
      - name: r
        in: query
        schema:
          type: integer
        required: true
        description: Number of items to choose (must be <= n)
        example: 3
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  n: 10
                  r: 3
                  permutation: 720
                  combination: 120
                  formulas:
                    permutation: P(n,r) = n! / (n-r)!
                    combination: C(n,r) = n! / (r! × (n-r)!)
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/romannumeralmath:
    get:
      summary: Roman Numeral Math
      description: Perform arithmetic operations with Roman numerals
      operationId: romannumeralmath
      parameters:
      - name: roman1
        in: query
        schema:
          type: string
        required: true
        description: The first Roman numeral
        example: XIV
      - name: roman2
        in: query
        schema:
          type: string
        required: true
        description: The second Roman numeral
        example: VI
      - name: operation
        in: query
        schema:
          type: string
        required: false
        description: Operation to perform
        example: add
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  roman1: XIV
                  roman2: VI
                  roman1_value: 14
                  roman2_value: 6
                  operation: add
                  result_number: 20
                  result_roman: XX
                  equation_numeric: 14 + 6 = 20
                  equation_roman: XIV + VI = XX
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/tipcalculator:
    get:
      summary: Tip Calculator
      description: Calculate tip amount and split bill among people
      operationId: tipcalculator
      parameters:
      - name: amount
        in: query
        schema:
          type: number
        required: true
        description: The bill amount before tip
        example: 100
      - name: percentage
        in: query
        schema:
          type: number
        required: false
        description: Tip percentage
        example: 18
      - name: people
        in: query
        schema:
          type: integer
        required: false
        description: Number of people to split the bill
        example: 4
      - name: currency
        in: query
        schema:
          type: string
        required: false
        description: Currency code for display
        example: USD
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  bill_amount: 100
                  tip_percentage: 18
                  tip_amount: 18
                  total_amount: 118
                  currency: USD
                  split_between: 4
                  per_person:
                    bill_amount: 25
                    tip_amount: 4.5
                    total_amount: 29.5
                  common_tip_amounts:
                  - percentage: 10
                    tip_amount: 10
                    total: 110
                    per_person: 27.5
                  - percentage: 15
                    tip_amount: 15
                    total: 115
                    per_person: 28.75
                  - percentage: 20
                    tip_amount: 20
                    total: 120
                    per_person: 30
                  formatted:
                    bill_amount: $100.00
                    tip_amount: $18.00
                    total_amount: $118.00
                    per_person_total: $29.50
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/truthtable:
    get:
      summary: Truth Table Generator
      description: Generate a truth table for a boolean expression
      operationId: truthtable
      parameters:
      - name: expression
        in: query
        schema:
          type: string
        required: true
        description: Boolean expression using A-Z variables and operators (AND, OR, NOT, XOR, NAND, NOR)
        example: A AND B OR C
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  expression: A AND B OR C
                  normalized: A && B || C
                  variables:
                  - A
                  - B
                  - C
                  - D
                  - N
                  - O
                  - R
                  variableCount: 7
                  rowCount: 128
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                    | 1        | 1        | 0        | 1        | 0        | 0        | 1        | 1        |

                    | 1        | 1        | 0        | 1        | 0        | 1        | 0        | 1        |

                    | 1        | 1        | 0        | 1        | 0        | 1        | 1        | 1        |

                    | 1        | 1        | 0        | 1        | 1        | 0        | 0        | 1        |

                    | 1        | 1        | 0        | 1        | 1        | 0        | 1        | 1        |

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                    | 1        | 1        | 0        | 1        | 1        | 1        | 1        | 1        |

                    | 1        | 1        | 1        | 0        | 0        | 0        | 0        | 1        |

                    | 1        | 1        | 1        | 0        | 0        | 0        | 1        | 1        |

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                    | 1        | 1        | 1        | 0        | 1        | 0        | 1        | 1        |

                    | 1        | 1        | 1        | 0        | 1        | 1        | 0        | 1        |

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                    | 1        | 1        | 1        | 1        | 0        | 0        | 0        | 1        |

                    | 1        | 1        | 1        | 1        | 0        | 0        | 1        | 1        |

                    | 1        | 1        | 1        | 1        | 0        | 1        | 0        | 1        |

                    | 1        | 1        | 1        | 1        | 0        | 1        | 1        | 1        |

                    | 1        | 1        | 1        | 1        | 1        | 0        | 0        | 1        |

                    | 1        | 1        | 1        | 1        | 1        | 0        | 1        | 1        |

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                    '
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
  /v1/utmconverter:
    get:
      summary: UTM Coordinate Converter
      description: Convert latitude/longitude coordinates to UTM format
      operationId: utmconverter
      parameters:
      - name: direction
        in: query
        schema:
          type: string
        required: false
        description: Conversion direction
        example: to_utm
      - name: latitude
        in: query
        schema:
          type: number
        required: true
        description: Latitude (-90 to 90)
        example: 40.7128
      - name: longitude
        in: query
        schema:
          type: number
        required: true
        description: Longitude (-180 to 180)
        example: -74.006
      responses:
        '200':
          description: Successful Response
          content:
            application/json:
              schema:
                type: object
                properties:
                  status:
                    type: string
                    description: status
                  error:
                    type: string
                    description: error
                  data:
                    type: object
                    description: data
              example:
                status: ok
                error: null
                data:
                  conversion: lat/lon to UTM
                  input:
                    latitude: 40.7128
                    longitude: -74.006
                  output:
                    zone: 18
                    hemisphere: N
                    easting: 583959.37
                    northing: 4507351
                  formatted: 18N 583959E 4507351N
                  datum: WGS84
        '401':
          description: Your request was not authorized, or your API Key was invalid
        '404':
          description: Requested resource was not found
        '500':
          description: A server error has occurred, try again later
      tags:
      - Math/Calculations
components:
  securitySchemes:
    api_key:
      type: apiKey
      name: x-api-key
      in: header
externalDocs:
  description: APIVerve Documentation
  url: https://docs.apiverve.com