{"record":{"id":"f88c56cebe1b9c16","repo":"TheAlgorithms/Python","slug":"insufficient-initial-points-information","errorCode":null,"errorMessage":"Insufficient initial points information.","messagePattern":"Insufficient initial points information\\.","errorType":"exception","errorClass":"ValueError","httpStatus":null,"severity":"error","filePath":"maths/numerical_analysis/adams_bashforth.py","lineNumber":81,"sourceCode":"            for x0, x1 in zip(self.x_initials, self.x_initials[1:])\n        ):\n            raise ValueError(\"x-values must be equally spaced according to step size.\")\n\n    def step_2(self) -> np.ndarray:\n        \"\"\"\n        >>> def f(x, y):\n        ...     return x\n        >>> AdamsBashforth(f, [0, 0.2], [0, 0], 0.2, 1).step_2()\n        array([0.  , 0.  , 0.06, 0.16, 0.3 , 0.48])\n\n        >>> AdamsBashforth(f, [0, 0.2, 0.4], [0, 0, 0.04], 0.2, 1).step_2()\n        Traceback (most recent call last):\n            ...\n        ValueError: Insufficient initial points information.\n        \"\"\"\n\n        if len(self.x_initials) != 2 or len(self.y_initials) != 2:\n            raise ValueError(\"Insufficient initial points information.\")\n\n        x_0, x_1 = self.x_initials[:2]\n        y_0, y_1 = self.y_initials[:2]\n\n        n = int((self.x_final - x_1) / self.step_size)\n        y = np.zeros(n + 2)\n        y[0] = y_0\n        y[1] = y_1\n\n        for i in range(n):\n            y[i + 2] = y[i + 1] + (self.step_size / 2) * (\n                3 * self.func(x_1, y[i + 1]) - self.func(x_0, y[i])\n            )\n            x_0 = x_1\n            x_1 += self.step_size\n\n        return y\n","sourceCodeStart":63,"sourceCodeEnd":99,"githubUrl":"https://github.com/TheAlgorithms/Python/blob/f5988cc09713315817df6a7e327e258013a94440/maths/numerical_analysis/adams_bashforth.py#L63-L99","documentation":"Error \"Insufficient initial points information.\" thrown in TheAlgorithms/Python.","triggerScenarios":"Thrown at maths/numerical_analysis/adams_bashforth.py:81 when the library encounters an invalid state.","commonSituations":"See trigger scenarios.","solutions":["Provide at least as many initial (x, y) points as the method's order requires.","Use a single-step method (e.g. Runge-Kutta) to generate the missing starting points."],"exampleFix":null,"handlingStrategy":null,"validationCode":null,"typeGuard":null,"tryCatchPattern":null,"preventionTips":[],"tags":[],"backgroundTag":null,"analyzedSha":"f5988cc09713315817df6a7e327e258013a94440","analyzedAt":"2026-08-14T17:30:07.041Z","schemaVersion":2},"datasetVersion":"2026-08-15T17:31:12.345Z"}