formatting

Author: shahriariravanian

README.md

@@ -27,12 +27,13 @@ using SymbolicNumericIntegration
 @variables x a b
 
 integrate(3x^3 + 2x - 5)
+(x^2 + (3 // 4) * (x^4) - (5 // 1) * x, 0, 0)
 
 integrate(exp(a * x), x; symbolic = true)
-(x^2 + (3//4)*(x^4) - (5//1)*x, 0, 0)
+(exp(a * x) / a, 0, 0)
 
 integrate(sin(a * x) * cos(b * x), x; symbolic = true, detailed = false)
-(exp(a*x) / a, 0, 0)
+(-a * cos(a * x) * cos(b * x) - b * sin(a * x) * sin(b * x)) / (a^2 - (b^2))
 ```
 
 # Citation
@@ -42,7 +43,7 @@ If you use SymbolicNumericIntegration.jl in your research, please cite [this pap
 ```
 
 @article{Iravanian2022,
-author = {Shahriar Iravanian and Carl Julius Martensen and Alessandro Cheli and Shashi Gowda and Anand Jain and Julia Computing and Yingbo Ma and Chris Rackauckas},
+author = {Shahriar Iravanian and Carl Julius Martensen and Alessandro Cheli and Shashi Gowda and Anand Jain and Yingbo Ma and Chris Rackauckas},
 doi = {10.48550/arxiv.2201.12468},
 month = {1},
 title = {Symbolic-Numeric Integration of Univariate Expressions based on Sparse Regression},

docs/src/index.md

@@ -30,18 +30,18 @@ using SymbolicNumericIntegration
 # if `detailed = true` (default), the output is a tuple of (solution, unsolved portion, err)
 
 integrate(3x^3 + 2x - 5)
-(x^2 + (3//4)*(x^4) - (5x), 0, 0)
+(x^2 + (3 // 4) * (x^4) - (5x), 0, 0)
 
 integrate((5 + 2x)^-1)
-((1//2)*log((5//2) + x), 0, 0.0)
+((1 // 2) * log((5 // 2) + x), 0, 0.0)
 
 # `detailed = false` simplifies the output to just the resulting integral
 
 integrate(x^2 / (16 + x^2); detailed = false)
-x + 4atan((-1//4)*x)
+x + 4atan((-1 // 4) * x)
 
 integrate(x^2 * log(x); detailed = false)
-(1//3)*(x^3)*log(x) - (1//9)*(x^3)
+(1 // 3) * (x^3) * log(x) - (1 // 9) * (x^3)
 
 integrate(sec(x) * tan(x); detailed = false)
 sec(x)
@@ -51,24 +51,24 @@ sec(x)
 # `symbolic = true` to force using the symbolic solver
 
 integrate(sin(a * x), x; detailed = false, symbolic = true)
-(-cos(a*x)) / a
+(-cos(a * x)) / a
 
 integrate(x^2 * cos(a * x), x; detailed = false, symbolic = true)
-((a^2)*(x^2)*sin(a*x) + 2.0a*x*cos(a*x) - 2.0sin(a*x)) / (a^3)
+((a^2) * (x^2) * sin(a * x) + 2.0a * x * cos(a * x) - 2.0sin(a * x)) / (a^3)
 
 integrate(log(log(a * x)) / x, x; detailed = false, symbolic = true)
-log(a*x)*log(log(a*x)) - log(a*x)
+log(a * x) * log(log(a * x)) - log(a * x)
 
 # multiple symbolic constants
 
 integrate(cosh(a * x) * exp(b * x), x; detailed = false, symbolic = true)
-(a*sinh(a*x)*exp(b*x) - b*cosh(a*x)*exp(b*x)) / (a^2 - (b^2))
+(a * sinh(a * x) * exp(b * x) - b * cosh(a * x) * exp(b * x)) / (a^2 - (b^2))
 
 # definite integration, passing a tuple of (x, lower bound, higher bound) in the 
 # second argument
 
 integrate(x * sin(a * x), (x, 0, 1); symbolic = true, detailed = false)
-(sin(a) - a*cos(a)) / (a^2)
+(sin(a) - a * cos(a)) / (a^2)
 ```
 
 SymbolicNumericIntegration.jl exports some special integral functions (defined over Complex numbers) and uses them in solving integrals:
@@ -85,7 +85,7 @@ integrate(exp(x + 1) / (x + 1))
 (SymbolicNumericIntegration.Ei(1 + x), 0, 0.0)
 
 integrate(x * cos(a * x^2 - 1) / (a * x^2 - 1), x; detailed = false, symbolic = true)
-((1//2)*SymbolicNumericIntegration.Ci(a*(x^2) - 1)) / a
+((1 // 2) * SymbolicNumericIntegration.Ci(a * (x^2) - 1)) / a
 
 integrate(1 / (x * log(log(x))), x; detailed = false, symbolic = true)
 SymbolicNumericIntegration.Li(log(x))