The test suite validates mathematical operations for log and exponential functions within the mathematical functions directory. Tests are organized around several key functions: cube root (cbrt), error function (erf), complementary error function (erfc), exponentiation (exp), exponent minus one (expm1), factorial (fac), natural logarithm (log), base-10 logarithm (log10), natural logarithm of 1 plus input (log1p), base-2 logarithm (log2), power (pow), root, 2 raised to the power of input (pow2), reciprocal square root (rsqrt), square root (sqrt), gamma function (tgamma), and sigmoid. Each function has the following tests:
Functionality Across Shapes and Types: The library correctly handles arrays of varying dimensions—from scalars to four-dimensional arrays—across all supported data types in the dtype_map, including integers, floating-point numbers, and boolean types.
Error Handling for Unsupported Types: It robustly raises errors when attempting operations with unsupported data types, specifically complex numbers and 64-bit floats, ensuring the library's stability by preventing undefined behavior.
Precision: Each mathematical operation is verified to perform accurately across the supported input shapes and data types, with special attention to the handling of edge cases
The test suite validates mathematical operations for log and exponential functions within the mathematical functions directory. Tests are organized around several key functions: cube root (cbrt), error function (erf), complementary error function (erfc), exponentiation (exp), exponent minus one (expm1), factorial (fac), natural logarithm (log), base-10 logarithm (log10), natural logarithm of 1 plus input (log1p), base-2 logarithm (log2), power (pow), root, 2 raised to the power of input (pow2), reciprocal square root (rsqrt), square root (sqrt), gamma function (tgamma), and sigmoid. Each function has the following tests:
Functionality Across Shapes and Types: The library correctly handles arrays of varying dimensions—from scalars to four-dimensional arrays—across all supported data types in the dtype_map, including integers, floating-point numbers, and boolean types.
Error Handling for Unsupported Types: It robustly raises errors when attempting operations with unsupported data types, specifically complex numbers and 64-bit floats, ensuring the library's stability by preventing undefined behavior.
Precision: Each mathematical operation is verified to perform accurately across the supported input shapes and data types, with special attention to the handling of edge cases