update benchmarks

Author: kmolan

BENCHMARKS.md

@@ -54,8 +54,8 @@ Integrand                              | Approximation error |           Notes
 $$\int_0^2 2x \mathrm{d}x$$            | 1e-14               |  Trivial Integration to showcase accuracy levels        |
 $$\int_0^1 (2x + yz) \mathrm{d}x$$     | 1e-30               |   High accuracy for simple multivariable integrals      |
 $$\int_0^1\int_0^1\int_0^1 (yz x^2 e^x) \mathrm{d}x\mathrm{d}x\mathrm{d}x$$ | 4e-4 | Can handle integration by parts|
-$$\int_0^1\int_0^1 (x\over\sqrt{x^2 + y^2}) \mathrm{d}x$$ |  2e-4    |  |
-$$\int_0^1\int_0^1 (Sin(x) + ye^z) \mathrm{d}x\mathrm{d}y$$ | 8e-2  | Struggles for overly complex equations |
+$$\int_0^1\int_0^1 (x\over\sqrt{x^2 + y^2}) \mathrm{d}x$$ |  2e-1    | Struggles for complex equations  |
+$$\int_0^1\int_0^1 (Sin(x) + ye^z) \mathrm{d}x\mathrm{d}y$$ | 8e-1  | Struggles for complex equations |
 
 
 ## 4. Gaussian Quadrature methods
@@ -69,6 +69,7 @@ Integrand                              | Approximation error |           Notes
 $$\int_0^2 4x^3 - 3x^2  \mathrm{d}x$$  | 1e-14               |  Trivial Integration to showcase accuracy levels        |
 $$\int_0^1 (2x + yz) \mathrm{d}x$$     | 1e-30               |   High accuracy for simple multivariable integrals      |
 $$\int_0^1\int_0^1 (x^3 y + y^3 z) \mathrm{d}x\mathrm{d}y$$ | 1e-30 | Can handle integration by parts easily|
+$$\int_{0}^1 (Sin(x) - \sqrtx{x})e^{-x} \mathrm{d}x$$ | 1e-2 | Poor performance for non-polynomial integrands |
 
 
 Gauss-Laguerre
@@ -83,7 +84,7 @@ Gauss-Hermite
 
 Integrand                              | Approximation error |           Notes                                         |
 -------------------------------------- | ------------------- | ------------------------------------------------------- |
-$$\int_{-\infty}^\infty x^2 e^{-x^2} \mathrm{d}x$$   | 1e-30              |  Trivial Integration to showcase accuracy levels        |
+$$\int_{-\infty}^\infty x^2 e^{-x^2} \mathrm{d}x$$   | 1e-30              |  Trivial Integration to showcase accuracy levels    |
 $$\int_{-\infty}^\infty (4x^3 - 3x^2)e^{-x^2} \mathrm{d}x$$  | 1e-12      |   High accuracy for more complicated integrands      |
 $$\int_{-\infty}^\infty (Sin(x) - \sqrtx{x})e^{-x} \mathrm{d}x$$ | 1e-1 | Poor performance for non-polynomial integrands |
 

README.md

@@ -412,6 +412,13 @@ multicalc uses [num-complex](https://crates.io/crates/num-complex) to provide a
 ## Contact
 [email protected]
 
-## TODO
-- Gauss-Kronrod Quadrature integration
-- infinity outputs
+## Roadmap
+- [x] Add gauss-hermite
+- [x] Add gauss-laguerre
+- [] Add user-friendly macros for ease of use
+- [] Add infinite integration limits to iterative integration methods
+- [] Add finite integration limits to gauss-hermite
+- [] Add finite integration limits to gauss-laguerre
+- [] Add complex number support to integration modules
+- [] Add ODE solver modules
+- [] Rework vector calculus module