feat: Update Github Actions and README

Author: txaty

.github/workflows/go.yml

@@ -81,6 +81,8 @@ jobs:
       - name: Upload coverage to Codecov
         uses: codecov/codecov-action@v5
         if: success()
+        with:
+          token: ${{ secrets.CODECOV_TOKEN }}
 
   analysis:
     name: Codacy Analysis

Makefile

@@ -0,0 +1,32 @@
+.PHONY: test test_race test_with_mock test_ci_coverage format bench report_bench cpu_report mem_report build
+
+COVER_OUT := coverage.out
+COVER_HTML := coverage.html
+
+test: COVER_OPTS = -covermode count
+test_race: COVER_OPTS = -race -covermode atomic
+test_with_mock: COVER_OPTS = -race -gcflags=all=-l -covermode atomic
+
+test test_race test_with_mock:
+	go test -v $(COVER_OPTS) -coverprofile=$(COVER_OUT) && go tool cover -html=$(COVER_OUT) -o $(COVER_HTML) && go tool cover -func=$(COVER_OUT) -o $(COVER_OUT)
+
+test_ci_coverage:
+	go test -race -gcflags=all=-l -coverprofile=coverage.txt -covermode=atomic
+
+format:
+	go fmt .
+
+bench:
+	go test -bench . -benchmem -cpu 1
+
+report_bench:
+	go test -cpuprofile cpu.prof -memprofile mem.prof -bench . -cpu 1
+
+cpu_report:
+	go tool pprof cpu.prof
+
+mem_report:
+	go tool pprof mem.prof
+
+build:
+	go build -v ./...

README.md

@@ -2,20 +2,25 @@
 
 [![Go Reference](https://pkg.go.dev/badge/github.com/txaty/go-bigcomplex.svg)](https://pkg.go.dev/github.com/txaty/go-bigcomplex)
 [![Go Report Card](https://goreportcard.com/badge/github.com/txaty/go-bigcomplex)](https://goreportcard.com/report/github.com/txaty/go-bigcomplex)
-![Coverage](https://img.shields.io/badge/Coverage-45.8%25-yellow)
+[![Codacy Badge](https://app.codacy.com/project/badge/Grade/3a9bb5ff5cb64dcf83903ca998a9144d)](https://app.codacy.com/gh/txaty/go-merkletree/dashboard?utm_source=gh&utm_medium=referral&utm_content=&utm_campaign=Badge_grade)
+[![MIT license](https://img.shields.io/badge/license-MIT-brightgreen.svg)](https://opensource.org/licenses/MIT)
 
 Big complex number calculation library for Go (with [math/big](https://pkg.go.dev/math/big)).
 
 Currently, the library supports:
 
 1. Gaussian integer, complex numbers whose real and imaginary parts are both integers:
 
-   ![gaussian_int](asset/image/gaussian_integer_formula.jpg)
+$$
+Z[i] = \{ a + bi \;|\; a, b \in \mathbb{Z} \}, \quad \text{where } i^2 = -1.
+$$
 
 2. Hurwitz quaternion, quaternions whose components are either all integers or all half-integers (halves of odd
    integers; a mixture of integers and half-integers is excluded):
 
-   ![hurwitz_int](asset/image/hurwitz_integer_formula.jpg)
+$$
+H = \{ a + bi + cj + dk \in \mathbb{H} \;|\; a, b, c, d \in \mathbb{Z} \; \text{or} \; b, c, d \in \mathbb{Z} + \frac{1}{2}  \}.
+$$
 
 ## Installation