fix: Send x-amz-mp-parts-count for multiparted objects (#9116)

Some AWS SDKs latently rely on this value some times
to calculate the right number of parts during a parallel
GetObject request, this is feature used along with
content-range - we should support this as well.

cmd/api-headers.go

@@ -24,6 +24,7 @@ import (
 	"net/http"
 	"net/url"
 	"strconv"
+	"strings"
 	"time"
 
 	"github.com/minio/minio/cmd/crypto"
@@ -81,6 +82,10 @@ func setObjectHeaders(w http.ResponseWriter, objInfo ObjectInfo, rs *HTTPRangeSp
 		w.Header()[xhttp.ETag] = []string{"\"" + objInfo.ETag + "\""}
 	}
 
+	if strings.Contains(objInfo.ETag, "-") && len(objInfo.Parts) > 0 {
+		w.Header().Set(xhttp.AmzMpPartsCount, strconv.Itoa(len(objInfo.Parts)))
+	}
+
 	if objInfo.ContentType != "" {
 		w.Header().Set(xhttp.ContentType, objInfo.ContentType)
 	}

cmd/http/headers.go

@@ -77,6 +77,9 @@ const (
 	AmzObjectLockLegalHold        = "X-Amz-Object-Lock-Legal-Hold"
 	AmzObjectLockBypassGovernance = "X-Amz-Bypass-Governance-Retention"
 
+	// Multipart parts count
+	AmzMpPartsCount = "x-amz-mp-parts-count"
+
 	// Dummy putBucketACL
 	AmzACL = "x-amz-acl"